To: benchfft@theory.lcs.mit.edu
Subject: SUBMIT
-------------------
@@SUBMIT@@
@ name = Steven G. Johnson
@ email = stevenj@alum.mit.edu
@ organization = MIT
@ computer manufacturer = SGI
@ computer model = Origin 2000
@ CPU manufacturer = SGI
@ CPU model = MIPS R10000
@ CPU speed = 195 MHz
@ RAM = 4096 MB
@ L2 cache size = 4 MB
@ operating system = IRIX 6.4 (IP27)
@ C compiler = MIPSpro.71 cc
@ C compiler flags = -DUSE_SCSL -DUSE_SGIMATH -mips4  -O3 -64 -mips4 -WOPT:rsv_bits=4020 -IPA
@ Fortran compiler = MIPSpro.71 f77
@ Fortran compiler flags = -64 -mips4 -O3 -IPA
@ remarks = This is a 32 processor machine, but only 1 processor was used.
@ FFTW version = FFTW V1.2
@ floating-point precision = double
@ floating-point size = 8 bytes

------------------------------------------------------
@@@@ bench.1d.p2.log
FFT Benchmark Program by M. Frigo and S. G. Johnson.
           email: fftw@theory.lcs.mit.edu
             www: http://theory.lcs.mit.edu/~fftw

Using FFTW V1.1 ($Id: executor.c,v 1.34 1997/04/30 13:15:56 fftw Exp $)

Maximum memory to use: 200 MB
Factors to allow: 2
Using double precision.

Measuring speed of 1D transforms:

Benchmarking for sizes:  2 (0.000335693 MB)  4 (0.000579834 MB)  8 (0.000839233 MB)  16 (0.00164795 MB)  32 (0.00297546 MB)  64 (0.00616455 MB)  128 (0.0119019 MB)  256 (0.0238037 MB)  512 (0.0476074 MB)  1024 (0.0939941 MB)  2048 (0.189575 MB)  4096 (0.37915 MB)  8192 (0.765991 MB)  16384 (1.51184 MB)  32768 (3.02368 MB)  65536 (6.09973 MB)  131072 (12.1995 MB)  262144 (25.4987 MB)  524288 (50.9973 MB)  1048576 (96 MB)  2097152 (192 MB)
Maximum array size = 2097152

Benchmarking FFTs:
0. Arndt DIF
1. Arndt DIT
2. Arndt Split-Radix
3. Arndt 4-step
4. Bailey
5. Beauregard
6. Bergland
7. Brenner
8. Burrus
9. CWP (min N)
10. CWP (best N)
11. Edelblute
12. FFTPACK
13. FFTPACK (f2c)
14. FFTW
15. FFTW_ESTIMATE
16. Frigo-old
17. Green
18. GSL
19. GSL DIT
20. GSL DIF
21. Krukar
22. Mayer (Buneman)
23. Mayer (simple)
24. Mayer (lookup)
25. Monro
26. NAPACK (f2c)
27. Nielsen
28. NR (C)
29. NR (F)
30. Ooura (C)
31. Ooura (F)
32. Ransom
33. SCIPORT
34. Singleton
35. Singleton (f2c)
36. Sorensen
37. Sorensen DIT
38. Temperton
39. Temperton (f2c)
40. Valkenburg
41. SCSL
42. SGIMATH


Computing normalized averages (43 transforms).

Benchmarking for array size = 2 (power of 2):
0. Arndt DIF: elapsed time t=1.18 s, 4194304 iters, t-(init.)=0.84 s
    t(norm)=0.100136, mflops=49.9322 (err=1.7e-17)
1. Arndt DIT: elapsed time t=1.36 s, 4194304 iters, t-(init.)=1.02 s
    t(norm)=0.121593, mflops=41.1206 (err=1.7e-17)
2. Arndt Split-Radix: elapsed time t=1.72 s, 4194304 iters, t-(init.)=1.38 s
    t(norm)=0.164509, mflops=30.3935 (err=1.7e-17)
3. Arndt 4-step: elapsed time t=1.09 s, 131072 iters, t-(init.)=1.07 s
    t(norm)=4.08173, mflops=1.22497 (err=1.7e-17)
4. Bailey: elapsed time t=1.84 s, 2097152 iters, t-(init.)=1.69 s
    t(norm)=0.402927, mflops=12.4092 (err=1.7e-17)
5. Beauregard: elapsed time t=1.1 s, 1048576 iters, t-(init.)=0.98 s
    t(norm)=0.4673, mflops=10.6998 (err=1.7e-17)
6. Bergland: elapsed time t=1.24 s, 524288 iters, t-(init.)=1.19 s
    t(norm)=1.13487, mflops=4.40578 (err=1.7e-17)
7. Brenner: elapsed time t=1.56 s, 1048576 iters, t-(init.)=1.47 s
    t(norm)=0.700951, mflops=7.13317 (err=1.7e-17)
8. Burrus: elapsed time t=1.16 s, 2097152 iters, t-(init.)=1 s
    t(norm)=0.238419, mflops=20.9715 (err=1.7e-17)
9. CWP (min N): elapsed time t=1.63 s, 524288 iters, t-(init.)=1.59 s
    t(norm)=1.51634, mflops=3.29741
10. CWP (best N) (N=3): elapsed time t=1.62 s, 524288 iters, t-(init.)=1.56 s
    t(norm)=1.48773, mflops=3.36082
11. Skipping fft (Edelblute can't handle N <= 2).
12. FFTPACK: elapsed time t=1.14 s, 1048576 iters, t-(init.)=1.06 s
    t(norm)=0.505447, mflops=9.89223 (err=1.7e-17)
13. FFTPACK (f2c): elapsed time t=1.68 s, 1048576 iters, t-(init.)=1.58 s
    t(norm)=0.753403, mflops=6.63656 (err=1.7e-17)

FFTW_MEASURE plan: (cost = 4.768372e-07)
FFTW_NOTW 2

14. FFTW: elapsed time t=1.01 s, 2097152 iters, t-(init.)=0.86 s
    t(norm)=0.20504, mflops=24.3855 (err=1.7e-17)

FFTW_ESTIMATE plan: (cost = 1.820000e+02)
FFTW_NOTW 2

15. FFTW_ESTIMATE: elapsed time t=1.01 s, 2097152 iters, t-(init.)=0.85 s
    t(norm)=0.202656, mflops=24.6724 (err=1.7e-17)
16. Frigo-old: elapsed time t=1.16 s, 4194304 iters, t-(init.)=0.86 s
    t(norm)=0.10252, mflops=48.771 (err=1.7e-17)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=1.91 s, 1048576 iters, t-(init.)=1.83 s
    t(norm)=0.872612, mflops=5.72992 (err=1.7e-17)
19. GSL DIT: elapsed time t=1.13 s, 1048576 iters, t-(init.)=1.05 s
    t(norm)=0.500679, mflops=9.98644 (err=1.7e-17)
20. GSL DIF: elapsed time t=2.01 s, 2097152 iters, t-(init.)=1.83 s
    t(norm)=0.436306, mflops=11.4598 (err=1.7e-17)
21. Krukar: elapsed time t=1.66 s, 4194304 iters, t-(init.)=1.27 s
    t(norm)=0.151396, mflops=33.026 (err=1.7e-17)
22. Skipping fft (Mayer can't handle N <= 2).
23. Skipping fft (Mayer can't handle N <= 2).
24. Skipping fft (Mayer can't handle N <= 2).
25. Skipping fft (Monro can't handle N <= 2).
26. NAPACK (f2c): elapsed time t=1.02 s, 524288 iters, t-(init.)=0.98 s
    t(norm)=0.934601, mflops=5.34988 (err=1.7e-17)
27. Nielsen: elapsed time t=1.15 s, 262144 iters, t-(init.)=1.13 s
    t(norm)=2.1553, mflops=2.31986 (err=1.7e-17)
28. NR (C): elapsed time t=1.01 s, 1048576 iters, t-(init.)=0.91 s
    t(norm)=0.433922, mflops=11.5228 (err=1.7e-17)
29. NR (F): elapsed time t=1.46 s, 1048576 iters, t-(init.)=1.38 s
    t(norm)=0.658035, mflops=7.59838 (err=1.7e-17)
30. Ooura (C): elapsed time t=1.04 s, 4194304 iters, t-(init.)=0.64 s
    t(norm)=0.0762939, mflops=65.536 (err=1.7e-17)
31. Ooura (F): elapsed time t=1.98 s, 4194304 iters, t-(init.)=1.64 s
    t(norm)=0.195503, mflops=25.575 (err=1.7e-17)
32. Skipping fft (Ransom doesn't work for N=2).
33. Skipping fft (SCIPORT can't handle N < 4).
34. Singleton: elapsed time t=1.79 s, 1048576 iters, t-(init.)=1.69 s
    t(norm)=0.805855, mflops=6.20459 (err=1.7e-17)
35. Singleton (f2c): elapsed time t=1.68 s, 1048576 iters, t-(init.)=1.6 s
    t(norm)=0.762939, mflops=6.5536 (err=1.7e-17)
36. Sorensen: elapsed time t=1.19 s, 2097152 iters, t-(init.)=1.02 s
    t(norm)=0.243187, mflops=20.5603 (err=1.7e-17)
37. Sorensen DIT: elapsed time t=1.26 s, 2097152 iters, t-(init.)=1.07 s
    t(norm)=0.255108, mflops=19.5996 (err=1.7e-17)
38. Temperton: elapsed time t=1.73 s, 524288 iters, t-(init.)=1.68 s
    t(norm)=1.60217, mflops=3.12076 (err=1.7e-17)
39. Temperton (f2c): elapsed time t=1.98 s, 524288 iters, t-(init.)=1.94 s
    t(norm)=1.85013, mflops=2.70252 (err=1.7e-17)
40. Valkenburg: elapsed time t=1.54 s, 1048576 iters, t-(init.)=1.47 s
    t(norm)=0.700951, mflops=7.13317 (err=1.7e-17)
41. SCSL: elapsed time t=1.73 s, 2097152 iters, t-(init.)=1.54 s
    t(norm)=0.367165, mflops=13.6179 (err=1.7e-17)
42. SGIMATH: elapsed time t=1.09 s, 1048576 iters, t-(init.)=1.01 s
    t(norm)=0.481606, mflops=10.3819 (err=1.7e-17)

Top mflops for N=2 = 65.536
Normalized results and averages for N=2:
  fft 0: mflops = 49.9322 (norm. = 0.761905), norm. avg. (of 1) = 0.761905
  fft 1: mflops = 41.1206 (norm. = 0.627451), norm. avg. (of 1) = 0.627451
  fft 2: mflops = 30.3935 (norm. = 0.463768), norm. avg. (of 1) = 0.463768
  fft 3: mflops = 1.22497 (norm. = 0.0186916), norm. avg. (of 1) = 0.0186916
  fft 4: mflops = 12.4092 (norm. = 0.189349), norm. avg. (of 1) = 0.189349
  fft 5: mflops = 10.6998 (norm. = 0.163265), norm. avg. (of 1) = 0.163265
  fft 6: mflops = 4.40578 (norm. = 0.0672269), norm. avg. (of 1) = 0.0672269
  fft 7: mflops = 7.13317 (norm. = 0.108844), norm. avg. (of 1) = 0.108844
  fft 8: mflops = 20.9715 (norm. = 0.32), norm. avg. (of 1) = 0.32
  fft 9: mflops = 3.29741 (norm. = 0.0503145), norm. avg. (of 1) = 0.0503145
  fft 10: mflops = 3.36082 (norm. = 0.0512821), norm. avg. (of 1) = 0.0512821
  fft 11: mflops = -1 (norm. = -0.0152588), norm. avg. (of 0) = -1
  fft 12: mflops = 9.89223 (norm. = 0.150943), norm. avg. (of 1) = 0.150943
  fft 13: mflops = 6.63656 (norm. = 0.101266), norm. avg. (of 1) = 0.101266
  fft 14: mflops = 24.3855 (norm. = 0.372093), norm. avg. (of 1) = 0.372093
  fft 15: mflops = 24.6724 (norm. = 0.376471), norm. avg. (of 1) = 0.376471
  fft 16: mflops = 48.771 (norm. = 0.744186), norm. avg. (of 1) = 0.744186
  fft 17: mflops = -1 (norm. = -0.0152588), norm. avg. (of 0) = -1
  fft 18: mflops = 5.72992 (norm. = 0.0874317), norm. avg. (of 1) = 0.0874317
  fft 19: mflops = 9.98644 (norm. = 0.152381), norm. avg. (of 1) = 0.152381
  fft 20: mflops = 11.4598 (norm. = 0.174863), norm. avg. (of 1) = 0.174863
  fft 21: mflops = 33.026 (norm. = 0.503937), norm. avg. (of 1) = 0.503937
  fft 22: mflops = -1 (norm. = -0.0152588), norm. avg. (of 0) = -1
  fft 23: mflops = -1 (norm. = -0.0152588), norm. avg. (of 0) = -1
  fft 24: mflops = -1 (norm. = -0.0152588), norm. avg. (of 0) = -1
  fft 25: mflops = -1 (norm. = -0.0152588), norm. avg. (of 0) = -1
  fft 26: mflops = 5.34988 (norm. = 0.0816327), norm. avg. (of 1) = 0.0816327
  fft 27: mflops = 2.31986 (norm. = 0.0353982), norm. avg. (of 1) = 0.0353982
  fft 28: mflops = 11.5228 (norm. = 0.175824), norm. avg. (of 1) = 0.175824
  fft 29: mflops = 7.59838 (norm. = 0.115942), norm. avg. (of 1) = 0.115942
  fft 30: mflops = 65.536 (norm. = 1), norm. avg. (of 1) = 1
  fft 31: mflops = 25.575 (norm. = 0.390244), norm. avg. (of 1) = 0.390244
  fft 32: mflops = -1 (norm. = -0.0152588), norm. avg. (of 0) = -1
  fft 33: mflops = -1 (norm. = -0.0152588), norm. avg. (of 0) = -1
  fft 34: mflops = 6.20459 (norm. = 0.0946746), norm. avg. (of 1) = 0.0946746
  fft 35: mflops = 6.5536 (norm. = 0.1), norm. avg. (of 1) = 0.1
  fft 36: mflops = 20.5603 (norm. = 0.313725), norm. avg. (of 1) = 0.313725
  fft 37: mflops = 19.5996 (norm. = 0.299065), norm. avg. (of 1) = 0.299065
  fft 38: mflops = 3.12076 (norm. = 0.047619), norm. avg. (of 1) = 0.047619
  fft 39: mflops = 2.70252 (norm. = 0.0412371), norm. avg. (of 1) = 0.0412371
  fft 40: mflops = 7.13317 (norm. = 0.108844), norm. avg. (of 1) = 0.108844
  fft 41: mflops = 13.6179 (norm. = 0.207792), norm. avg. (of 1) = 0.207792
  fft 42: mflops = 10.3819 (norm. = 0.158416), norm. avg. (of 1) = 0.158416

Benchmarking for array size = 4 (power of 2):
0. Arndt DIF: elapsed time t=1.33 s, 2097152 iters, t-(init.)=1.2 s
    t(norm)=0.0715256, mflops=69.9051 (err=1.3e-16)
1. Arndt DIT: elapsed time t=1.29 s, 2097152 iters, t-(init.)=1.16 s
    t(norm)=0.0691414, mflops=72.3156 (err=1.3e-16)
2. Arndt Split-Radix: elapsed time t=1.99 s, 2097152 iters, t-(init.)=1.86 s
    t(norm)=0.110865, mflops=45.1 (err=1.3e-16)
3. Arndt 4-step: elapsed time t=1.89 s, 262144 iters, t-(init.)=1.88 s
    t(norm)=0.896454, mflops=5.57753 (err=1.3e-16)
4. Bailey: elapsed time t=1.92 s, 1048576 iters, t-(init.)=1.86 s
    t(norm)=0.221729, mflops=22.55 (err=1.3e-16)
5. Beauregard: elapsed time t=1.27 s, 524288 iters, t-(init.)=1.23 s
    t(norm)=0.293255, mflops=17.05 (err=6.5e-17)
6. Bergland: elapsed time t=1.5 s, 524288 iters, t-(init.)=1.46 s
    t(norm)=0.348091, mflops=14.3641 (err=5.3e-17)
7. Brenner: elapsed time t=1.42 s, 524288 iters, t-(init.)=1.39 s
    t(norm)=0.331402, mflops=15.0874 (err=5.3e-17)
8. Burrus: elapsed time t=1.32 s, 1048576 iters, t-(init.)=1.26 s
    t(norm)=0.150204, mflops=33.2881 (err=1.3e-16)
9. CWP (min N): elapsed time t=1.77 s, 524288 iters, t-(init.)=1.74 s
    t(norm)=0.414848, mflops=12.0526
10. CWP (best N) (N=15): elapsed time t=1.59 s, 262144 iters, t-(init.)=1.53 s
    t(norm)=0.729561, mflops=6.85344
11. Edelblute: elapsed time t=1.87 s, 2097152 iters, t-(init.)=1.68 s
    t(norm)=0.100136, mflops=49.9322 (err=1.3e-16)
12. FFTPACK: elapsed time t=1.34 s, 1048576 iters, t-(init.)=1.27 s
    t(norm)=0.151396, mflops=33.026 (err=5.3e-17)
13. FFTPACK (f2c): elapsed time t=1.19 s, 524288 iters, t-(init.)=1.14 s
    t(norm)=0.271797, mflops=18.3961 (err=5.3e-17)

FFTW_MEASURE plan: (cost = 4.577637e-07)
FFTW_NOTW 4

14. FFTW: elapsed time t=1.03 s, 2097152 iters, t-(init.)=0.91 s
    t(norm)=0.0542402, mflops=92.1825 (err=5.3e-17)

FFTW_ESTIMATE plan: (cost = 3.176000e+02)
FFTW_NOTW 4

15. FFTW_ESTIMATE: elapsed time t=1.09 s, 2097152 iters, t-(init.)=0.97 s
    t(norm)=0.0578165, mflops=86.4805 (err=5.3e-17)
16. Frigo-old: elapsed time t=1.8 s, 4194304 iters, t-(init.)=1.56 s
    t(norm)=0.0464916, mflops=107.546 (err=5.3e-17)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=1.04 s, 524288 iters, t-(init.)=1.01 s
    t(norm)=0.240803, mflops=20.7639 (err=5.3e-17)
19. GSL DIT: elapsed time t=1.25 s, 524288 iters, t-(init.)=1.22 s
    t(norm)=0.290871, mflops=17.1898 (err=6.5e-17)
20. GSL DIF: elapsed time t=1.16 s, 524288 iters, t-(init.)=1.13 s
    t(norm)=0.269413, mflops=18.5589 (err=6.5e-17)
21. Krukar: elapsed time t=1.83 s, 4194304 iters, t-(init.)=1.59 s
    t(norm)=0.0473857, mflops=105.517 (err=5.3e-17)
22. Mayer (Buneman): elapsed time t=1.05 s, 1048576 iters, t-(init.)=1 s
    t(norm)=0.119209, mflops=41.943 (err=1.3e-16)
23. Mayer (simple): elapsed time t=1 s, 1048576 iters, t-(init.)=0.94 s
    t(norm)=0.112057, mflops=44.6203
24. Mayer (lookup): elapsed time t=1.24 s, 1048576 iters, t-(init.)=1.18 s
    t(norm)=0.140667, mflops=35.5449 (err=1.3e-16)
25. Monro: elapsed time t=1.03 s, 131072 iters, t-(init.)=1.03 s
    t(norm)=0.982285, mflops=5.09017 (err=1.3e-16)
26. NAPACK (f2c): elapsed time t=1.01 s, 262144 iters, t-(init.)=1 s
    t(norm)=0.476837, mflops=10.4858 (err=1.6e-16)
27. Nielsen: elapsed time t=1.2 s, 262144 iters, t-(init.)=1.19 s
    t(norm)=0.567436, mflops=8.81156 (err=1.3e-16)
28. NR (C): elapsed time t=1.16 s, 524288 iters, t-(init.)=1.13 s
    t(norm)=0.269413, mflops=18.5589 (err=6.5e-17)
29. NR (F): elapsed time t=1.56 s, 524288 iters, t-(init.)=1.53 s
    t(norm)=0.36478, mflops=13.7069 (err=6.5e-17)
30. Ooura (C): elapsed time t=1.07 s, 2097152 iters, t-(init.)=0.91 s
    t(norm)=0.0542402, mflops=92.1825 (err=5.3e-17)
31. Ooura (F): elapsed time t=1.41 s, 2097152 iters, t-(init.)=1.28 s
    t(norm)=0.0762939, mflops=65.536 (err=5.3e-17)
32. Ransom: elapsed time t=1.57 s, 262144 iters, t-(init.)=1.55 s
    t(norm)=0.739098, mflops=6.76501 (err=2.4e-16)
33. SCIPORT: elapsed time t=1.01 s, 1048576 iters, t-(init.)=0.95 s
    t(norm)=0.113249, mflops=44.1506 (err=6.5e-17)
34. Singleton: elapsed time t=1.96 s, 1048576 iters, t-(init.)=1.9 s
    t(norm)=0.226498, mflops=22.0753 (err=5.3e-17)
35. Singleton (f2c): elapsed time t=1.84 s, 1048576 iters, t-(init.)=1.77 s
    t(norm)=0.211, mflops=23.6966 (err=5.3e-17)
36. Sorensen: elapsed time t=1.15 s, 1048576 iters, t-(init.)=1.08 s
    t(norm)=0.128746, mflops=38.8361 (err=1.3e-16)
37. Sorensen DIT: elapsed time t=1.35 s, 1048576 iters, t-(init.)=1.3 s
    t(norm)=0.154972, mflops=32.2639 (err=1.3e-16)
38. Temperton: elapsed time t=1.01 s, 262144 iters, t-(init.)=0.99 s
    t(norm)=0.472069, mflops=10.5917 (err=5.3e-17)
39. Temperton (f2c): elapsed time t=1.15 s, 262144 iters, t-(init.)=1.14 s
    t(norm)=0.543594, mflops=9.19804 (err=5.3e-17)
40. Valkenburg: elapsed time t=1.54 s, 262144 iters, t-(init.)=1.52 s
    t(norm)=0.724792, mflops=6.89853 (err=1.4e-16)
41. SCSL: elapsed time t=1.83 s, 2097152 iters, t-(init.)=1.71 s
    t(norm)=0.101924, mflops=49.0562 (err=5.3e-17)
42. SGIMATH: elapsed time t=1.83 s, 2097152 iters, t-(init.)=1.71 s
    t(norm)=0.101924, mflops=49.0562 (err=5.3e-17)

Top mflops for N=4 = 107.546
Normalized results and averages for N=4:
  fft 0: mflops = 69.9051 (norm. = 0.65), norm. avg. (of 2) = 0.705952
  fft 1: mflops = 72.3156 (norm. = 0.672414), norm. avg. (of 2) = 0.649932
  fft 2: mflops = 45.1 (norm. = 0.419355), norm. avg. (of 2) = 0.441561
  fft 3: mflops = 5.57753 (norm. = 0.0518617), norm. avg. (of 2) = 0.0352766
  fft 4: mflops = 22.55 (norm. = 0.209677), norm. avg. (of 2) = 0.199513
  fft 5: mflops = 17.05 (norm. = 0.158537), norm. avg. (of 2) = 0.160901
  fft 6: mflops = 14.3641 (norm. = 0.133562), norm. avg. (of 2) = 0.100394
  fft 7: mflops = 15.0874 (norm. = 0.140288), norm. avg. (of 2) = 0.124566
  fft 8: mflops = 33.2881 (norm. = 0.309524), norm. avg. (of 2) = 0.314762
  fft 9: mflops = 12.0526 (norm. = 0.112069), norm. avg. (of 2) = 0.0811917
  fft 10: mflops = 6.85344 (norm. = 0.0637255), norm. avg. (of 2) = 0.0575038
  fft 11: mflops = 49.9322 (norm. = 0.464286), norm. avg. (of 1) = 0.464286
  fft 12: mflops = 33.026 (norm. = 0.307087), norm. avg. (of 2) = 0.229015
  fft 13: mflops = 18.3961 (norm. = 0.171053), norm. avg. (of 2) = 0.136159
  fft 14: mflops = 92.1825 (norm. = 0.857143), norm. avg. (of 2) = 0.614618
  fft 15: mflops = 86.4805 (norm. = 0.804124), norm. avg. (of 2) = 0.590297
  fft 16: mflops = 107.546 (norm. = 1), norm. avg. (of 2) = 0.872093
  fft 17: mflops = -1 (norm. = -0.00929832), norm. avg. (of 0) = -1
  fft 18: mflops = 20.7639 (norm. = 0.193069), norm. avg. (of 2) = 0.140251
  fft 19: mflops = 17.1898 (norm. = 0.159836), norm. avg. (of 2) = 0.156109
  fft 20: mflops = 18.5589 (norm. = 0.172566), norm. avg. (of 2) = 0.173715
  fft 21: mflops = 105.517 (norm. = 0.981132), norm. avg. (of 2) = 0.742535
  fft 22: mflops = 41.943 (norm. = 0.39), norm. avg. (of 1) = 0.39
  fft 23: mflops = 44.6203 (norm. = 0.414894), norm. avg. (of 1) = 0.414894
  fft 24: mflops = 35.5449 (norm. = 0.330508), norm. avg. (of 1) = 0.330508
  fft 25: mflops = 5.09017 (norm. = 0.0473301), norm. avg. (of 1) = 0.0473301
  fft 26: mflops = 10.4858 (norm. = 0.0975), norm. avg. (of 2) = 0.0895663
  fft 27: mflops = 8.81156 (norm. = 0.0819328), norm. avg. (of 2) = 0.0586655
  fft 28: mflops = 18.5589 (norm. = 0.172566), norm. avg. (of 2) = 0.174195
  fft 29: mflops = 13.7069 (norm. = 0.127451), norm. avg. (of 2) = 0.121697
  fft 30: mflops = 92.1825 (norm. = 0.857143), norm. avg. (of 2) = 0.928571
  fft 31: mflops = 65.536 (norm. = 0.609375), norm. avg. (of 2) = 0.499809
  fft 32: mflops = 6.76501 (norm. = 0.0629032), norm. avg. (of 1) = 0.0629032
  fft 33: mflops = 44.1506 (norm. = 0.410526), norm. avg. (of 1) = 0.410526
  fft 34: mflops = 22.0753 (norm. = 0.205263), norm. avg. (of 2) = 0.149969
  fft 35: mflops = 23.6966 (norm. = 0.220339), norm. avg. (of 2) = 0.160169
  fft 36: mflops = 38.8361 (norm. = 0.361111), norm. avg. (of 2) = 0.337418
  fft 37: mflops = 32.2639 (norm. = 0.3), norm. avg. (of 2) = 0.299533
  fft 38: mflops = 10.5917 (norm. = 0.0984848), norm. avg. (of 2) = 0.0730519
  fft 39: mflops = 9.19804 (norm. = 0.0855263), norm. avg. (of 2) = 0.0633817
  fft 40: mflops = 6.89853 (norm. = 0.0641447), norm. avg. (of 2) = 0.0864941
  fft 41: mflops = 49.0562 (norm. = 0.45614), norm. avg. (of 2) = 0.331966
  fft 42: mflops = 49.0562 (norm. = 0.45614), norm. avg. (of 2) = 0.307278

Benchmarking for array size = 8 (power of 2):
0. Arndt DIF: elapsed time t=1.18 s, 1048576 iters, t-(init.)=1.08 s
    t(norm)=0.0429153, mflops=116.508 (err=1.2e-16)
1. Arndt DIT: elapsed time t=1.16 s, 1048576 iters, t-(init.)=1.05 s
    t(norm)=0.0417233, mflops=119.837 (err=1.2e-16)
2. Arndt Split-Radix: elapsed time t=1.24 s, 524288 iters, t-(init.)=1.19 s
    t(norm)=0.0945727, mflops=52.8694 (err=1.1e-16)
3. Arndt 4-step: elapsed time t=1.21 s, 65536 iters, t-(init.)=1.2 s
    t(norm)=0.762939, mflops=6.5536 (err=1.5e-16)
4. Bailey: elapsed time t=1.54 s, 524288 iters, t-(init.)=1.49 s
    t(norm)=0.118415, mflops=42.2245 (err=1.3e-16)
5. Beauregard: elapsed time t=1.82 s, 262144 iters, t-(init.)=1.79 s
    t(norm)=0.284513, mflops=17.5739 (err=1.2e-16)
6. Bergland: elapsed time t=1.26 s, 262144 iters, t-(init.)=1.24 s
    t(norm)=0.197093, mflops=25.3688 (err=1.3e-16)
7. Brenner: elapsed time t=1.4 s, 262144 iters, t-(init.)=1.38 s
    t(norm)=0.219345, mflops=22.7951 (err=1.2e-16)
8. Burrus: elapsed time t=1.8 s, 524288 iters, t-(init.)=1.74 s
    t(norm)=0.138283, mflops=36.1578 (err=1.5e-16)
9. CWP (min N): elapsed time t=1.06 s, 262144 iters, t-(init.)=1.03 s
    t(norm)=0.163714, mflops=30.541
10. CWP (best N) (N=15): elapsed time t=1.6 s, 262144 iters, t-(init.)=1.55 s
    t(norm)=0.246366, mflops=20.295
11. Edelblute: elapsed time t=1.48 s, 524288 iters, t-(init.)=1.42 s
    t(norm)=0.112851, mflops=44.306 (err=1.5e-16)
12. FFTPACK: elapsed time t=1.32 s, 524288 iters, t-(init.)=1.27 s
    t(norm)=0.100931, mflops=49.539 (err=1.2e-16)
13. FFTPACK (f2c): elapsed time t=1.37 s, 262144 iters, t-(init.)=1.34 s
    t(norm)=0.212987, mflops=23.4756 (err=1.2e-16)

FFTW_MEASURE plan: (cost = 8.010864e-07)
FFTW_NOTW 8

14. FFTW: elapsed time t=1.65 s, 2097152 iters, t-(init.)=1.44 s
    t(norm)=0.0286102, mflops=174.763 (err=1.2e-16)

FFTW_ESTIMATE plan: (cost = 4.688000e+02)
FFTW_NOTW 8

15. FFTW_ESTIMATE: elapsed time t=1.65 s, 2097152 iters, t-(init.)=1.45 s
    t(norm)=0.0288089, mflops=173.557 (err=1.2e-16)
16. Frigo-old: elapsed time t=1.14 s, 2097152 iters, t-(init.)=0.93 s
    t(norm)=0.0184774, mflops=270.6 (err=1.4e-16)
17. Green: elapsed time t=1.24 s, 1048576 iters, t-(init.)=1.11 s
    t(norm)=0.0441074, mflops=113.36 (err=1.4e-16)
18. GSL: elapsed time t=1.56 s, 524288 iters, t-(init.)=1.51 s
    t(norm)=0.120004, mflops=41.6653 (err=1.2e-16)
19. GSL DIT: elapsed time t=1.17 s, 262144 iters, t-(init.)=1.14 s
    t(norm)=0.181198, mflops=27.5941 (err=1.2e-16)
20. GSL DIF: elapsed time t=1.16 s, 262144 iters, t-(init.)=1.14 s
    t(norm)=0.181198, mflops=27.5941 (err=1.4e-16)
21. Krukar: elapsed time t=1.74 s, 2097152 iters, t-(init.)=1.53 s
    t(norm)=0.0303984, mflops=164.483 (err=1.2e-16)
22. Mayer (Buneman): elapsed time t=1.04 s, 524288 iters, t-(init.)=0.99 s
    t(norm)=0.0786781, mflops=63.5501 (err=1.5e-16)
23. Mayer (simple): elapsed time t=1.06 s, 524288 iters, t-(init.)=1.01 s
    t(norm)=0.0802676, mflops=62.2916
24. Mayer (lookup): elapsed time t=1.15 s, 524288 iters, t-(init.)=1.1 s
    t(norm)=0.0874201, mflops=57.1951 (err=1.5e-16)
25. Monro: elapsed time t=1.34 s, 131072 iters, t-(init.)=1.32 s
    t(norm)=0.419617, mflops=11.9156 (err=1.1e-08)
26. NAPACK (f2c): elapsed time t=1.91 s, 262144 iters, t-(init.)=1.88 s
    t(norm)=0.298818, mflops=16.7326 (err=1.7e-16)
27. Nielsen: elapsed time t=1.47 s, 262144 iters, t-(init.)=1.44 s
    t(norm)=0.228882, mflops=21.8453 (err=6.9e-16)
28. NR (C): elapsed time t=1.16 s, 262144 iters, t-(init.)=1.13 s
    t(norm)=0.179609, mflops=27.8383 (err=1.2e-16)
29. NR (F): elapsed time t=1.52 s, 262144 iters, t-(init.)=1.49 s
    t(norm)=0.236829, mflops=21.1123 (err=1.2e-16)
30. Ooura (C): elapsed time t=1.06 s, 1048576 iters, t-(init.)=0.94 s
    t(norm)=0.0373522, mflops=133.861 (err=1.3e-16)
31. Ooura (F): elapsed time t=1.44 s, 1048576 iters, t-(init.)=1.34 s
    t(norm)=0.0532468, mflops=93.9023 (err=1.3e-16)
32. Ransom: elapsed time t=1.25 s, 65536 iters, t-(init.)=1.24 s
    t(norm)=0.788371, mflops=6.34219 (err=3.9e-16)
33. SCIPORT: elapsed time t=1.11 s, 524288 iters, t-(init.)=1.06 s
    t(norm)=0.0842412, mflops=59.3534 (err=1.2e-16)
34. Singleton: elapsed time t=1.39 s, 262144 iters, t-(init.)=1.36 s
    t(norm)=0.216166, mflops=23.1304 (err=1.4e-16)
35. Singleton (f2c): elapsed time t=1.43 s, 262144 iters, t-(init.)=1.4 s
    t(norm)=0.222524, mflops=22.4695 (err=1.4e-16)
36. Sorensen: elapsed time t=1.28 s, 524288 iters, t-(init.)=1.23 s
    t(norm)=0.0977516, mflops=51.15 (err=1.2e-16)
37. Sorensen DIT: elapsed time t=1.76 s, 524288 iters, t-(init.)=1.71 s
    t(norm)=0.135899, mflops=36.7921 (err=1.2e-16)
38. Temperton: elapsed time t=1.48 s, 262144 iters, t-(init.)=1.46 s
    t(norm)=0.232061, mflops=21.5461 (err=4.6e-09)
39. Temperton (f2c): elapsed time t=1.08 s, 131072 iters, t-(init.)=1.06 s
    t(norm)=0.336965, mflops=14.8383 (err=1.4e-16)
40. Valkenburg: elapsed time t=1.15 s, 65536 iters, t-(init.)=1.15 s
    t(norm)=0.73115, mflops=6.83854 (err=1.4e-16)
41. SCSL: elapsed time t=1.17 s, 1048576 iters, t-(init.)=1.07 s
    t(norm)=0.042518, mflops=117.597 (err=1.4e-16)
42. SGIMATH: elapsed time t=1.17 s, 1048576 iters, t-(init.)=1.06 s
    t(norm)=0.0421206, mflops=118.707 (err=1.4e-16)

Top mflops for N=8 = 270.6
Normalized results and averages for N=8:
  fft 0: mflops = 116.508 (norm. = 0.430556), norm. avg. (of 3) = 0.614153
  fft 1: mflops = 119.837 (norm. = 0.442857), norm. avg. (of 3) = 0.580907
  fft 2: mflops = 52.8694 (norm. = 0.195378), norm. avg. (of 3) = 0.3595
  fft 3: mflops = 6.5536 (norm. = 0.0242187), norm. avg. (of 3) = 0.0315907
  fft 4: mflops = 42.2245 (norm. = 0.15604), norm. avg. (of 3) = 0.185022
  fft 5: mflops = 17.5739 (norm. = 0.0649441), norm. avg. (of 3) = 0.128915
  fft 6: mflops = 25.3688 (norm. = 0.09375), norm. avg. (of 3) = 0.0981795
  fft 7: mflops = 22.7951 (norm. = 0.0842391), norm. avg. (of 3) = 0.111123
  fft 8: mflops = 36.1578 (norm. = 0.133621), norm. avg. (of 3) = 0.254381
  fft 9: mflops = 30.541 (norm. = 0.112864), norm. avg. (of 3) = 0.0917492
  fft 10: mflops = 20.295 (norm. = 0.075), norm. avg. (of 3) = 0.0633358
  fft 11: mflops = 44.306 (norm. = 0.163732), norm. avg. (of 2) = 0.314009
  fft 12: mflops = 49.539 (norm. = 0.183071), norm. avg. (of 3) = 0.2137
  fft 13: mflops = 23.4756 (norm. = 0.0867537), norm. avg. (of 3) = 0.119691
  fft 14: mflops = 174.763 (norm. = 0.645833), norm. avg. (of 3) = 0.625023
  fft 15: mflops = 173.557 (norm. = 0.641379), norm. avg. (of 3) = 0.607325
  fft 16: mflops = 270.6 (norm. = 1), norm. avg. (of 3) = 0.914729
  fft 17: mflops = 113.36 (norm. = 0.418919), norm. avg. (of 1) = 0.418919
  fft 18: mflops = 41.6653 (norm. = 0.153974), norm. avg. (of 3) = 0.144825
  fft 19: mflops = 27.5941 (norm. = 0.101974), norm. avg. (of 3) = 0.138064
  fft 20: mflops = 27.5941 (norm. = 0.101974), norm. avg. (of 3) = 0.149801
  fft 21: mflops = 164.483 (norm. = 0.607843), norm. avg. (of 3) = 0.697637
  fft 22: mflops = 63.5501 (norm. = 0.234848), norm. avg. (of 2) = 0.312424
  fft 23: mflops = 62.2916 (norm. = 0.230198), norm. avg. (of 2) = 0.322546
  fft 24: mflops = 57.1951 (norm. = 0.211364), norm. avg. (of 2) = 0.270936
  fft 25: mflops = 11.9156 (norm. = 0.0440341), norm. avg. (of 2) = 0.0456821
  fft 26: mflops = 16.7326 (norm. = 0.0618351), norm. avg. (of 3) = 0.0803226
  fft 27: mflops = 21.8453 (norm. = 0.0807292), norm. avg. (of 3) = 0.0660201
  fft 28: mflops = 27.8383 (norm. = 0.102876), norm. avg. (of 3) = 0.150422
  fft 29: mflops = 21.1123 (norm. = 0.0780201), norm. avg. (of 3) = 0.107138
  fft 30: mflops = 133.861 (norm. = 0.494681), norm. avg. (of 3) = 0.783941
  fft 31: mflops = 93.9023 (norm. = 0.347015), norm. avg. (of 3) = 0.448878
  fft 32: mflops = 6.34219 (norm. = 0.0234375), norm. avg. (of 2) = 0.0431704
  fft 33: mflops = 59.3534 (norm. = 0.21934), norm. avg. (of 2) = 0.314933
  fft 34: mflops = 23.1304 (norm. = 0.0854779), norm. avg. (of 3) = 0.128472
  fft 35: mflops = 22.4695 (norm. = 0.0830357), norm. avg. (of 3) = 0.134458
  fft 36: mflops = 51.15 (norm. = 0.189024), norm. avg. (of 3) = 0.287954
  fft 37: mflops = 36.7921 (norm. = 0.135965), norm. avg. (of 3) = 0.24501
  fft 38: mflops = 21.5461 (norm. = 0.0796233), norm. avg. (of 3) = 0.0752424
  fft 39: mflops = 14.8383 (norm. = 0.0548349), norm. avg. (of 3) = 0.0605328
  fft 40: mflops = 6.83854 (norm. = 0.0252717), norm. avg. (of 3) = 0.0660867
  fft 41: mflops = 117.597 (norm. = 0.434579), norm. avg. (of 3) = 0.366171
  fft 42: mflops = 118.707 (norm. = 0.438679), norm. avg. (of 3) = 0.351078

Benchmarking for array size = 16 (power of 2):
0. Arndt DIF: elapsed time t=1.15 s, 262144 iters, t-(init.)=1.11 s
    t(norm)=0.0661612, mflops=75.573 (err=1.5e-16)
1. Arndt DIT: elapsed time t=1.11 s, 262144 iters, t-(init.)=1.06 s
    t(norm)=0.0631809, mflops=79.1378 (err=2.2e-16)
2. Arndt Split-Radix: elapsed time t=1.51 s, 262144 iters, t-(init.)=1.46 s
    t(norm)=0.0870228, mflops=57.4562 (err=1.3e-16)
3. Arndt 4-step: elapsed time t=1.43 s, 65536 iters, t-(init.)=1.41 s
    t(norm)=0.33617, mflops=14.8734 (err=1.6e-16)
4. Bailey: elapsed time t=1.52 s, 262144 iters, t-(init.)=1.47 s
    t(norm)=0.0876188, mflops=57.0654 (err=1.6e-16)
5. Beauregard: elapsed time t=1.85 s, 131072 iters, t-(init.)=1.82 s
    t(norm)=0.216961, mflops=23.0456 (err=2.3e-16)
6. Bergland: elapsed time t=1.09 s, 131072 iters, t-(init.)=1.06 s
    t(norm)=0.126362, mflops=39.5689 (err=2.6e-16)
7. Brenner: elapsed time t=1.35 s, 131072 iters, t-(init.)=1.32 s
    t(norm)=0.157356, mflops=31.775 (err=2.1e-16)
8. Burrus: elapsed time t=1.02 s, 131072 iters, t-(init.)=0.99 s
    t(norm)=0.118017, mflops=42.3667 (err=1.4e-16)
9. CWP (min N): elapsed time t=1.26 s, 262144 iters, t-(init.)=1.21 s
    t(norm)=0.0721216, mflops=69.3273
10. CWP (best N) (N=28): elapsed time t=1.05 s, 131072 iters, t-(init.)=1.01 s
    t(norm)=0.120401, mflops=41.5278
11. Edelblute: elapsed time t=1.87 s, 262144 iters, t-(init.)=1.82 s
    t(norm)=0.10848, mflops=46.0913 (err=1.4e-16)
12. FFTPACK: elapsed time t=1.74 s, 524288 iters, t-(init.)=1.64 s
    t(norm)=0.0488758, mflops=102.3 (err=1.8e-16)
13. FFTPACK (f2c): elapsed time t=1.19 s, 131072 iters, t-(init.)=1.16 s
    t(norm)=0.138283, mflops=36.1578 (err=1.8e-16)

FFTW_MEASURE plan: (cost = 1.678467e-06)
FFTW_NOTW 16

14. FFTW: elapsed time t=1.63 s, 1048576 iters, t-(init.)=1.43 s
    t(norm)=0.0213087, mflops=234.646 (err=1.7e-16)

FFTW_ESTIMATE plan: (cost = 4.256000e+02)
FFTW_NOTW 16

15. FFTW_ESTIMATE: elapsed time t=1.67 s, 1048576 iters, t-(init.)=1.47 s
    t(norm)=0.0219047, mflops=228.261 (err=1.7e-16)
16. Frigo-old: elapsed time t=1.25 s, 1048576 iters, t-(init.)=1.05 s
    t(norm)=0.0156462, mflops=319.566 (err=1.8e-16)
17. Green: elapsed time t=1.02 s, 262144 iters, t-(init.)=0.96 s
    t(norm)=0.0572205, mflops=87.3813 (err=1.9e-16)
18. GSL: elapsed time t=1.15 s, 262144 iters, t-(init.)=1.1 s
    t(norm)=0.0655651, mflops=76.2601 (err=1.8e-16)
19. GSL DIT: elapsed time t=1.14 s, 131072 iters, t-(init.)=1.11 s
    t(norm)=0.132322, mflops=37.7865 (err=2.1e-16)
20. GSL DIF: elapsed time t=1.08 s, 131072 iters, t-(init.)=1.06 s
    t(norm)=0.126362, mflops=39.5689 (err=2.8e-16)
21. Krukar: elapsed time t=1.92 s, 1048576 iters, t-(init.)=1.73 s
    t(norm)=0.025779, mflops=193.956 (err=2.0e-16)
22. Mayer (Buneman): elapsed time t=1.48 s, 262144 iters, t-(init.)=1.43 s
    t(norm)=0.0852346, mflops=58.6616 (err=1.7e-16)
23. Mayer (simple): elapsed time t=1.29 s, 262144 iters, t-(init.)=1.24 s
    t(norm)=0.0739098, mflops=67.6501
24. Mayer (lookup): elapsed time t=1.37 s, 262144 iters, t-(init.)=1.32 s
    t(norm)=0.0786781, mflops=63.5501 (err=1.9e-16)
25. Monro: elapsed time t=1.12 s, 65536 iters, t-(init.)=1.11 s
    t(norm)=0.264645, mflops=18.8933 (err=2.1e-08)
26. NAPACK (f2c): elapsed time t=1.56 s, 131072 iters, t-(init.)=1.54 s
    t(norm)=0.183582, mflops=27.2357 (err=3.3e-16)
27. Nielsen: elapsed time t=1.11 s, 65536 iters, t-(init.)=1.1 s
    t(norm)=0.26226, mflops=19.065 (err=1.6e-16)
28. NR (C): elapsed time t=1.12 s, 131072 iters, t-(init.)=1.1 s
    t(norm)=0.13113, mflops=38.13 (err=2.1e-16)
29. NR (F): elapsed time t=1.41 s, 131072 iters, t-(init.)=1.39 s
    t(norm)=0.165701, mflops=30.1748 (err=2.1e-16)
30. Ooura (C): elapsed time t=1.27 s, 524288 iters, t-(init.)=1.16 s
    t(norm)=0.0345707, mflops=144.631 (err=2.0e-16)
31. Ooura (F): elapsed time t=1.42 s, 524288 iters, t-(init.)=1.32 s
    t(norm)=0.0393391, mflops=127.1 (err=2.0e-16)
32. Ransom: elapsed time t=1.92 s, 131072 iters, t-(init.)=1.9 s
    t(norm)=0.226498, mflops=22.0753 (err=4.2e-16)
33. SCIPORT: elapsed time t=1.19 s, 262144 iters, t-(init.)=1.14 s
    t(norm)=0.0679493, mflops=73.5843 (err=2.6e-16)
34. Singleton: elapsed time t=1.51 s, 262144 iters, t-(init.)=1.46 s
    t(norm)=0.0870228, mflops=57.4562 (err=1.7e-16)
35. Singleton (f2c): elapsed time t=1.49 s, 262144 iters, t-(init.)=1.44 s
    t(norm)=0.0858307, mflops=58.2542 (err=1.7e-16)
36. Sorensen: elapsed time t=1.3 s, 262144 iters, t-(init.)=1.25 s
    t(norm)=0.0745058, mflops=67.1089 (err=1.7e-16)
37. Sorensen DIT: elapsed time t=1.03 s, 131072 iters, t-(init.)=1.01 s
    t(norm)=0.120401, mflops=41.5278 (err=1.9e-16)
38. Temperton: elapsed time t=1.56 s, 131072 iters, t-(init.)=1.54 s
    t(norm)=0.183582, mflops=27.2357 (err=1.7e-08)
39. Temperton (f2c): elapsed time t=1.53 s, 131072 iters, t-(init.)=1.51 s
    t(norm)=0.180006, mflops=27.7768 (err=1.8e-16)
40. Valkenburg: elapsed time t=1.46 s, 32768 iters, t-(init.)=1.45 s
    t(norm)=0.691414, mflops=7.23156 (err=2.9e-16)
41. SCSL: elapsed time t=1.95 s, 1048576 iters, t-(init.)=1.76 s
    t(norm)=0.026226, mflops=190.65 (err=1.8e-16)
42. SGIMATH: elapsed time t=1.96 s, 1048576 iters, t-(init.)=1.77 s
    t(norm)=0.0263751, mflops=189.573 (err=1.8e-16)

Top mflops for N=16 = 319.566
Normalized results and averages for N=16:
  fft 0: mflops = 75.573 (norm. = 0.236486), norm. avg. (of 4) = 0.519737
  fft 1: mflops = 79.1378 (norm. = 0.247642), norm. avg. (of 4) = 0.497591
  fft 2: mflops = 57.4562 (norm. = 0.179795), norm. avg. (of 4) = 0.314574
  fft 3: mflops = 14.8734 (norm. = 0.0465426), norm. avg. (of 4) = 0.0353286
  fft 4: mflops = 57.0654 (norm. = 0.178571), norm. avg. (of 4) = 0.18341
  fft 5: mflops = 23.0456 (norm. = 0.0721154), norm. avg. (of 4) = 0.114715
  fft 6: mflops = 39.5689 (norm. = 0.123821), norm. avg. (of 4) = 0.10459
  fft 7: mflops = 31.775 (norm. = 0.0994318), norm. avg. (of 4) = 0.108201
  fft 8: mflops = 42.3667 (norm. = 0.132576), norm. avg. (of 4) = 0.22393
  fft 9: mflops = 69.3273 (norm. = 0.216942), norm. avg. (of 4) = 0.123047
  fft 10: mflops = 41.5278 (norm. = 0.12995), norm. avg. (of 4) = 0.0799895
  fft 11: mflops = 46.0913 (norm. = 0.144231), norm. avg. (of 3) = 0.257416
  fft 12: mflops = 102.3 (norm. = 0.320122), norm. avg. (of 4) = 0.240306
  fft 13: mflops = 36.1578 (norm. = 0.113147), norm. avg. (of 4) = 0.118055
  fft 14: mflops = 234.646 (norm. = 0.734266), norm. avg. (of 4) = 0.652334
  fft 15: mflops = 228.261 (norm. = 0.714286), norm. avg. (of 4) = 0.634065
  fft 16: mflops = 319.566 (norm. = 1), norm. avg. (of 4) = 0.936047
  fft 17: mflops = 87.3813 (norm. = 0.273438), norm. avg. (of 2) = 0.346178
  fft 18: mflops = 76.2601 (norm. = 0.238636), norm. avg. (of 4) = 0.168278
  fft 19: mflops = 37.7865 (norm. = 0.118243), norm. avg. (of 4) = 0.133108
  fft 20: mflops = 39.5689 (norm. = 0.123821), norm. avg. (of 4) = 0.143306
  fft 21: mflops = 193.956 (norm. = 0.606936), norm. avg. (of 4) = 0.674962
  fft 22: mflops = 58.6616 (norm. = 0.183566), norm. avg. (of 3) = 0.269472
  fft 23: mflops = 67.6501 (norm. = 0.211694), norm. avg. (of 3) = 0.285595
  fft 24: mflops = 63.5501 (norm. = 0.198864), norm. avg. (of 3) = 0.246912
  fft 25: mflops = 18.8933 (norm. = 0.0591216), norm. avg. (of 3) = 0.0501619
  fft 26: mflops = 27.2357 (norm. = 0.0852273), norm. avg. (of 4) = 0.0815488
  fft 27: mflops = 19.065 (norm. = 0.0596591), norm. avg. (of 4) = 0.0644298
  fft 28: mflops = 38.13 (norm. = 0.119318), norm. avg. (of 4) = 0.142646
  fft 29: mflops = 30.1748 (norm. = 0.0944245), norm. avg. (of 4) = 0.103959
  fft 30: mflops = 144.631 (norm. = 0.452586), norm. avg. (of 4) = 0.701102
  fft 31: mflops = 127.1 (norm. = 0.397727), norm. avg. (of 4) = 0.43609
  fft 32: mflops = 22.0753 (norm. = 0.0690789), norm. avg. (of 3) = 0.0518066
  fft 33: mflops = 73.5843 (norm. = 0.230263), norm. avg. (of 3) = 0.28671
  fft 34: mflops = 57.4562 (norm. = 0.179795), norm. avg. (of 4) = 0.141303
  fft 35: mflops = 58.2542 (norm. = 0.182292), norm. avg. (of 4) = 0.146417
  fft 36: mflops = 67.1089 (norm. = 0.21), norm. avg. (of 4) = 0.268465
  fft 37: mflops = 41.5278 (norm. = 0.12995), norm. avg. (of 4) = 0.216245
  fft 38: mflops = 27.2357 (norm. = 0.0852273), norm. avg. (of 4) = 0.0777386
  fft 39: mflops = 27.7768 (norm. = 0.0869205), norm. avg. (of 4) = 0.0671297
  fft 40: mflops = 7.23156 (norm. = 0.0226293), norm. avg. (of 4) = 0.0552223
  fft 41: mflops = 190.65 (norm. = 0.596591), norm. avg. (of 4) = 0.423776
  fft 42: mflops = 189.573 (norm. = 0.59322), norm. avg. (of 4) = 0.411614

Benchmarking for array size = 32 (power of 2):
0. Arndt DIF: elapsed time t=1.16 s, 131072 iters, t-(init.)=1.12 s
    t(norm)=0.0534058, mflops=93.6229 (err=2.9e-16)
1. Arndt DIT: elapsed time t=1.12 s, 131072 iters, t-(init.)=1.07 s
    t(norm)=0.0510216, mflops=97.9978 (err=2.7e-16)
2. Arndt Split-Radix: elapsed time t=1.67 s, 131072 iters, t-(init.)=1.63 s
    t(norm)=0.0777245, mflops=64.3298 (err=3.4e-16)
3. Arndt 4-step: elapsed time t=1.67 s, 32768 iters, t-(init.)=1.66 s
    t(norm)=0.31662, mflops=15.7918 (err=2.7e-16)
4. Bailey: elapsed time t=1.3 s, 131072 iters, t-(init.)=1.25 s
    t(norm)=0.0596046, mflops=83.8861 (err=2.6e-16)
5. Beauregard: elapsed time t=1.02 s, 32768 iters, t-(init.)=1.01 s
    t(norm)=0.192642, mflops=25.9549 (err=2.3e-16)
6. Bergland: elapsed time t=1.96 s, 131072 iters, t-(init.)=1.91 s
    t(norm)=0.0910759, mflops=54.8993 (err=3.0e-16)
7. Brenner: elapsed time t=1.32 s, 65536 iters, t-(init.)=1.3 s
    t(norm)=0.123978, mflops=40.3298 (err=2.1e-16)
8. Burrus: elapsed time t=1.13 s, 65536 iters, t-(init.)=1.11 s
    t(norm)=0.105858, mflops=47.2332 (err=2.7e-16)
9. CWP (min N) (N=33): elapsed time t=1.23 s, 131072 iters, t-(init.)=1.19 s
    t(norm)=0.0567436, mflops=88.1156
10. CWP (best N) (N=35): elapsed time t=1.22 s, 131072 iters, t-(init.)=1.17 s
    t(norm)=0.0557899, mflops=89.6219
11. Edelblute: elapsed time t=1.05 s, 65536 iters, t-(init.)=1.03 s
    t(norm)=0.0982285, mflops=50.9017 (err=2.7e-16)
12. FFTPACK: elapsed time t=1.04 s, 131072 iters, t-(init.)=0.99 s
    t(norm)=0.0472069, mflops=105.917 (err=2.1e-16)
13. FFTPACK (f2c): elapsed time t=1 s, 32768 iters, t-(init.)=0.99 s
    t(norm)=0.188828, mflops=26.4792 (err=2.1e-16)

FFTW_MEASURE plan: (cost = 4.119873e-06)
FFTW_NOTW 32

14. FFTW: elapsed time t=1.08 s, 262144 iters, t-(init.)=0.99 s
    t(norm)=0.0236034, mflops=211.834 (err=2.1e-16)

FFTW_ESTIMATE plan: (cost = 3.200000e+01)
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.09 s, 262144 iters, t-(init.)=1 s
    t(norm)=0.0238419, mflops=209.715 (err=2.1e-16)
16. Frigo-old: elapsed time t=1.64 s, 524288 iters, t-(init.)=1.46 s
    t(norm)=0.0174046, mflops=287.281 (err=2.2e-16)
17. Green: elapsed time t=1.75 s, 262144 iters, t-(init.)=1.65 s
    t(norm)=0.0393391, mflops=127.1 (err=2.1e-16)
18. GSL: elapsed time t=1.39 s, 131072 iters, t-(init.)=1.34 s
    t(norm)=0.0638962, mflops=78.2519 (err=2.0e-16)
19. GSL DIT: elapsed time t=1.07 s, 65536 iters, t-(init.)=1.04 s
    t(norm)=0.0991821, mflops=50.4123 (err=2.2e-16)
20. GSL DIF: elapsed time t=1.06 s, 65536 iters, t-(init.)=1.04 s
    t(norm)=0.0991821, mflops=50.4123 (err=2.5e-16)
21. Krukar: elapsed time t=1.13 s, 262144 iters, t-(init.)=1.04 s
    t(norm)=0.0247955, mflops=201.649 (err=2.2e-16)
22. Mayer (Buneman): elapsed time t=1.62 s, 131072 iters, t-(init.)=1.57 s
    t(norm)=0.0748634, mflops=66.7883 (err=2.8e-16)
23. Mayer (simple): elapsed time t=1.31 s, 131072 iters, t-(init.)=1.26 s
    t(norm)=0.0600815, mflops=83.2203
24. Mayer (lookup): elapsed time t=1.36 s, 131072 iters, t-(init.)=1.32 s
    t(norm)=0.0629425, mflops=79.4376 (err=2.9e-16)
25. Monro: elapsed time t=1.88 s, 65536 iters, t-(init.)=1.86 s
    t(norm)=0.177383, mflops=28.1875 (err=3.7e-08)
26. NAPACK (f2c): elapsed time t=1.54 s, 65536 iters, t-(init.)=1.51 s
    t(norm)=0.144005, mflops=34.7211 (err=1.3e-15)
27. Nielsen: elapsed time t=1.76 s, 65536 iters, t-(init.)=1.73 s
    t(norm)=0.164986, mflops=30.3057 (err=1.5e-15)
28. NR (C): elapsed time t=1.1 s, 65536 iters, t-(init.)=1.08 s
    t(norm)=0.102997, mflops=48.5452 (err=2.1e-16)
29. NR (F): elapsed time t=1.32 s, 65536 iters, t-(init.)=1.3 s
    t(norm)=0.123978, mflops=40.3298 (err=2.1e-16)
30. Ooura (C): elapsed time t=1.37 s, 262144 iters, t-(init.)=1.27 s
    t(norm)=0.0302792, mflops=165.13 (err=2.6e-16)
31. Ooura (F): elapsed time t=1.52 s, 262144 iters, t-(init.)=1.43 s
    t(norm)=0.0340939, mflops=146.654 (err=2.6e-16)
32. Ransom: elapsed time t=1.47 s, 32768 iters, t-(init.)=1.46 s
    t(norm)=0.278473, mflops=17.9551 (err=7.5e-16)
33. SCIPORT: elapsed time t=1.23 s, 131072 iters, t-(init.)=1.18 s
    t(norm)=0.0562668, mflops=88.8624 (err=1.7e-16)
34. Singleton: elapsed time t=1.4 s, 131072 iters, t-(init.)=1.36 s
    t(norm)=0.0648499, mflops=77.1012 (err=2.2e-16)
35. Singleton (f2c): elapsed time t=1.41 s, 131072 iters, t-(init.)=1.37 s
    t(norm)=0.0653267, mflops=76.5384 (err=2.2e-16)
36. Sorensen: elapsed time t=1.2 s, 131072 iters, t-(init.)=1.15 s
    t(norm)=0.0548363, mflops=91.1805 (err=2.7e-16)
37. Sorensen DIT: elapsed time t=1.12 s, 65536 iters, t-(init.)=1.1 s
    t(norm)=0.104904, mflops=47.6625 (err=2.4e-16)
38. Temperton: elapsed time t=1.48 s, 65536 iters, t-(init.)=1.46 s
    t(norm)=0.139236, mflops=35.9101 (err=3.1e-08)
39. Temperton (f2c): elapsed time t=1.6 s, 65536 iters, t-(init.)=1.58 s
    t(norm)=0.150681, mflops=33.1828 (err=1.7e-16)
40. Valkenburg: elapsed time t=1.8 s, 16384 iters, t-(init.)=1.8 s
    t(norm)=0.686646, mflops=7.28178 (err=4.2e-16)
41. SCSL: elapsed time t=1.08 s, 262144 iters, t-(init.)=0.99 s
    t(norm)=0.0236034, mflops=211.834 (err=1.8e-16)
42. SGIMATH: elapsed time t=1.96 s, 524288 iters, t-(init.)=1.77 s
    t(norm)=0.0211, mflops=236.966 (err=1.8e-16)

Top mflops for N=32 = 287.281
Normalized results and averages for N=32:
  fft 0: mflops = 93.6229 (norm. = 0.325893), norm. avg. (of 5) = 0.480968
  fft 1: mflops = 97.9978 (norm. = 0.341121), norm. avg. (of 5) = 0.466297
  fft 2: mflops = 64.3298 (norm. = 0.223926), norm. avg. (of 5) = 0.296444
  fft 3: mflops = 15.7918 (norm. = 0.0549699), norm. avg. (of 5) = 0.0392569
  fft 4: mflops = 83.8861 (norm. = 0.292), norm. avg. (of 5) = 0.205128
  fft 5: mflops = 25.9549 (norm. = 0.0903465), norm. avg. (of 5) = 0.109842
  fft 6: mflops = 54.8993 (norm. = 0.191099), norm. avg. (of 5) = 0.121892
  fft 7: mflops = 40.3298 (norm. = 0.140385), norm. avg. (of 5) = 0.114637
  fft 8: mflops = 47.2332 (norm. = 0.164414), norm. avg. (of 5) = 0.212027
  fft 9: mflops = 88.1156 (norm. = 0.306723), norm. avg. (of 5) = 0.159782
  fft 10: mflops = 89.6219 (norm. = 0.311966), norm. avg. (of 5) = 0.126385
  fft 11: mflops = 50.9017 (norm. = 0.177184), norm. avg. (of 4) = 0.237358
  fft 12: mflops = 105.917 (norm. = 0.368687), norm. avg. (of 5) = 0.265982
  fft 13: mflops = 26.4792 (norm. = 0.0921717), norm. avg. (of 5) = 0.112878
  fft 14: mflops = 211.834 (norm. = 0.737374), norm. avg. (of 5) = 0.669342
  fft 15: mflops = 209.715 (norm. = 0.73), norm. avg. (of 5) = 0.653252
  fft 16: mflops = 287.281 (norm. = 1), norm. avg. (of 5) = 0.948837
  fft 17: mflops = 127.1 (norm. = 0.442424), norm. avg. (of 3) = 0.37826
  fft 18: mflops = 78.2519 (norm. = 0.272388), norm. avg. (of 5) = 0.1891
  fft 19: mflops = 50.4123 (norm. = 0.175481), norm. avg. (of 5) = 0.141583
  fft 20: mflops = 50.4123 (norm. = 0.175481), norm. avg. (of 5) = 0.149741
  fft 21: mflops = 201.649 (norm. = 0.701923), norm. avg. (of 5) = 0.680354
  fft 22: mflops = 66.7883 (norm. = 0.232484), norm. avg. (of 4) = 0.260225
  fft 23: mflops = 83.2203 (norm. = 0.289683), norm. avg. (of 4) = 0.286617
  fft 24: mflops = 79.4376 (norm. = 0.276515), norm. avg. (of 4) = 0.254313
  fft 25: mflops = 28.1875 (norm. = 0.0981183), norm. avg. (of 4) = 0.062151
  fft 26: mflops = 34.7211 (norm. = 0.120861), norm. avg. (of 5) = 0.0894112
  fft 27: mflops = 30.3057 (norm. = 0.105491), norm. avg. (of 5) = 0.0726421
  fft 28: mflops = 48.5452 (norm. = 0.168981), norm. avg. (of 5) = 0.147913
  fft 29: mflops = 40.3298 (norm. = 0.140385), norm. avg. (of 5) = 0.111244
  fft 30: mflops = 165.13 (norm. = 0.574803), norm. avg. (of 5) = 0.675843
  fft 31: mflops = 146.654 (norm. = 0.51049), norm. avg. (of 5) = 0.45097
  fft 32: mflops = 17.9551 (norm. = 0.0625), norm. avg. (of 4) = 0.0544799
  fft 33: mflops = 88.8624 (norm. = 0.309322), norm. avg. (of 4) = 0.292363
  fft 34: mflops = 77.1012 (norm. = 0.268382), norm. avg. (of 5) = 0.166719
  fft 35: mflops = 76.5384 (norm. = 0.266423), norm. avg. (of 5) = 0.170418
  fft 36: mflops = 91.1805 (norm. = 0.317391), norm. avg. (of 5) = 0.27825
  fft 37: mflops = 47.6625 (norm. = 0.165909), norm. avg. (of 5) = 0.206178
  fft 38: mflops = 35.9101 (norm. = 0.125), norm. avg. (of 5) = 0.0871909
  fft 39: mflops = 33.1828 (norm. = 0.115506), norm. avg. (of 5) = 0.076805
  fft 40: mflops = 7.28178 (norm. = 0.0253472), norm. avg. (of 5) = 0.0492473
  fft 41: mflops = 211.834 (norm. = 0.737374), norm. avg. (of 5) = 0.486495
  fft 42: mflops = 236.966 (norm. = 0.824859), norm. avg. (of 5) = 0.494263

Benchmarking for array size = 64 (power of 2):
0. Arndt DIF: elapsed time t=1.39 s, 65536 iters, t-(init.)=1.34 s
    t(norm)=0.0532468, mflops=93.9023 (err=5.8e-16)
1. Arndt DIT: elapsed time t=1.37 s, 65536 iters, t-(init.)=1.33 s
    t(norm)=0.0528495, mflops=94.6084 (err=5.7e-16)
2. Arndt Split-Radix: elapsed time t=1.81 s, 65536 iters, t-(init.)=1.77 s
    t(norm)=0.0703335, mflops=71.0899 (err=5.8e-16)
3. Arndt 4-step: elapsed time t=1.04 s, 16384 iters, t-(init.)=1.02 s
    t(norm)=0.162125, mflops=30.8405 (err=5.3e-16)
4. Bailey: elapsed time t=1.48 s, 65536 iters, t-(init.)=1.44 s
    t(norm)=0.0572205, mflops=87.3813 (err=5.6e-16)
5. Beauregard: elapsed time t=1.14 s, 16384 iters, t-(init.)=1.13 s
    t(norm)=0.179609, mflops=27.8383 (err=6.0e-16)
6. Bergland: elapsed time t=1 s, 32768 iters, t-(init.)=0.97 s
    t(norm)=0.0770887, mflops=64.8604 (err=6.3e-16)
7. Brenner: elapsed time t=1.38 s, 32768 iters, t-(init.)=1.36 s
    t(norm)=0.108083, mflops=46.2607 (err=5.8e-16)
8. Burrus: elapsed time t=1.2 s, 32768 iters, t-(init.)=1.18 s
    t(norm)=0.093778, mflops=53.3174 (err=5.7e-16)
9. CWP (min N) (N=65): elapsed time t=1.13 s, 65536 iters, t-(init.)=1.08 s
    t(norm)=0.0429153, mflops=116.508
10. CWP (best N) (N=84): elapsed time t=1.08 s, 65536 iters, t-(init.)=1.02 s
    t(norm)=0.0405312, mflops=123.362
11. Edelblute: elapsed time t=1.14 s, 32768 iters, t-(init.)=1.12 s
    t(norm)=0.0890096, mflops=56.1737 (err=5.7e-16)
12. FFTPACK: elapsed time t=1.66 s, 131072 iters, t-(init.)=1.57 s
    t(norm)=0.0311931, mflops=160.292 (err=5.7e-16)
13. FFTPACK (f2c): elapsed time t=1.87 s, 32768 iters, t-(init.)=1.84 s
    t(norm)=0.14623, mflops=34.1927 (err=5.7e-16)

FFTW_MEASURE plan: (cost = 9.765625e-06)
FFTW_TWIDDLE 8
FFTW_NOTW 8

14. FFTW: elapsed time t=1.24 s, 131072 iters, t-(init.)=1.15 s
    t(norm)=0.0228484, mflops=218.833 (err=5.6e-16)

FFTW_ESTIMATE plan: (cost = 7.680000e+02)
FFTW_TWIDDLE 2
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.4 s, 131072 iters, t-(init.)=1.31 s
    t(norm)=0.0260274, mflops=192.106 (err=5.3e-16)
16. Frigo-old: elapsed time t=1.37 s, 131072 iters, t-(init.)=1.28 s
    t(norm)=0.0254313, mflops=196.608 (err=5.5e-16)
17. Green: elapsed time t=1.54 s, 131072 iters, t-(init.)=1.45 s
    t(norm)=0.0288089, mflops=173.557 (err=5.7e-16)
18. GSL: elapsed time t=1.19 s, 65536 iters, t-(init.)=1.15 s
    t(norm)=0.0456969, mflops=109.417 (err=5.7e-16)
19. GSL DIT: elapsed time t=1.13 s, 32768 iters, t-(init.)=1.11 s
    t(norm)=0.0882149, mflops=56.6798 (err=5.6e-16)
20. GSL DIF: elapsed time t=1.1 s, 32768 iters, t-(init.)=1.08 s
    t(norm)=0.0858307, mflops=58.2542 (err=5.4e-16)
21. Krukar: elapsed time t=1.4 s, 131072 iters, t-(init.)=1.32 s
    t(norm)=0.026226, mflops=190.65 (err=5.9e-16)
22. Mayer (Buneman): elapsed time t=1.88 s, 65536 iters, t-(init.)=1.84 s
    t(norm)=0.073115, mflops=68.3854 (err=5.3e-16)
23. Mayer (simple): elapsed time t=1.47 s, 65536 iters, t-(init.)=1.42 s
    t(norm)=0.0564257, mflops=88.6121
24. Mayer (lookup): elapsed time t=1.48 s, 65536 iters, t-(init.)=1.43 s
    t(norm)=0.0568231, mflops=87.9924 (err=5.2e-16)
25. Monro: elapsed time t=1.82 s, 32768 iters, t-(init.)=1.8 s
    t(norm)=0.143051, mflops=34.9525 (err=3.4e-08)
26. NAPACK (f2c): elapsed time t=1.44 s, 32768 iters, t-(init.)=1.41 s
    t(norm)=0.112057, mflops=44.6203 (err=1.8e-15)
27. Nielsen: elapsed time t=1.5 s, 32768 iters, t-(init.)=1.47 s
    t(norm)=0.116825, mflops=42.799 (err=1.8e-15)
28. NR (C): elapsed time t=1.14 s, 32768 iters, t-(init.)=1.12 s
    t(norm)=0.0890096, mflops=56.1737 (err=5.4e-16)
29. NR (F): elapsed time t=1.3 s, 32768 iters, t-(init.)=1.28 s
    t(norm)=0.101725, mflops=49.152 (err=5.4e-16)
30. Ooura (C): elapsed time t=1.51 s, 131072 iters, t-(init.)=1.41 s
    t(norm)=0.0280142, mflops=178.481 (err=5.7e-16)
31. Ooura (F): elapsed time t=1.52 s, 131072 iters, t-(init.)=1.43 s
    t(norm)=0.0284115, mflops=175.985 (err=5.7e-16)
32. Ransom: elapsed time t=1.65 s, 32768 iters, t-(init.)=1.63 s
    t(norm)=0.129541, mflops=38.5979 (err=9.0e-16)
33. SCIPORT: elapsed time t=1.3 s, 65536 iters, t-(init.)=1.26 s
    t(norm)=0.0500679, mflops=99.8644 (err=5.6e-16)
34. Singleton: elapsed time t=1.22 s, 65536 iters, t-(init.)=1.18 s
    t(norm)=0.046889, mflops=106.635 (err=9.2e-16)
35. Singleton (f2c): elapsed time t=1.21 s, 65536 iters, t-(init.)=1.17 s
    t(norm)=0.0464916, mflops=107.546 (err=9.2e-16)
36. Sorensen: elapsed time t=1.15 s, 65536 iters, t-(init.)=1.1 s
    t(norm)=0.0437101, mflops=114.39 (err=5.7e-16)
37. Sorensen DIT: elapsed time t=1.19 s, 32768 iters, t-(init.)=1.17 s
    t(norm)=0.0929832, mflops=53.7731 (err=5.7e-16)
38. Temperton: elapsed time t=1.23 s, 32768 iters, t-(init.)=1.2 s
    t(norm)=0.0953674, mflops=52.4288 (err=3.8e-08)
39. Temperton (f2c): elapsed time t=1.35 s, 32768 iters, t-(init.)=1.33 s
    t(norm)=0.105699, mflops=47.3042 (err=5.7e-16)
40. Valkenburg: elapsed time t=1.04 s, 4096 iters, t-(init.)=1.03 s
    t(norm)=0.654856, mflops=7.63526 (err=7.8e-16)
41. SCSL: elapsed time t=1.06 s, 131072 iters, t-(init.)=0.97 s
    t(norm)=0.0192722, mflops=259.441 (err=5.7e-16)
42. SGIMATH: elapsed time t=1.08 s, 131072 iters, t-(init.)=0.99 s
    t(norm)=0.0196695, mflops=254.2 (err=5.7e-16)

Top mflops for N=64 = 259.441
Normalized results and averages for N=64:
  fft 0: mflops = 93.9023 (norm. = 0.36194), norm. avg. (of 6) = 0.46113
  fft 1: mflops = 94.6084 (norm. = 0.364662), norm. avg. (of 6) = 0.449358
  fft 2: mflops = 71.0899 (norm. = 0.274011), norm. avg. (of 6) = 0.292706
  fft 3: mflops = 30.8405 (norm. = 0.118873), norm. avg. (of 6) = 0.0525262
  fft 4: mflops = 87.3813 (norm. = 0.336806), norm. avg. (of 6) = 0.227074
  fft 5: mflops = 27.8383 (norm. = 0.107301), norm. avg. (of 6) = 0.109418
  fft 6: mflops = 64.8604 (norm. = 0.25), norm. avg. (of 6) = 0.143243
  fft 7: mflops = 46.2607 (norm. = 0.178309), norm. avg. (of 6) = 0.125249
  fft 8: mflops = 53.3174 (norm. = 0.205508), norm. avg. (of 6) = 0.210941
  fft 9: mflops = 116.508 (norm. = 0.449074), norm. avg. (of 6) = 0.207998
  fft 10: mflops = 123.362 (norm. = 0.47549), norm. avg. (of 6) = 0.184569
  fft 11: mflops = 56.1737 (norm. = 0.216518), norm. avg. (of 5) = 0.23319
  fft 12: mflops = 160.292 (norm. = 0.617834), norm. avg. (of 6) = 0.324624
  fft 13: mflops = 34.1927 (norm. = 0.131793), norm. avg. (of 6) = 0.116031
  fft 14: mflops = 218.833 (norm. = 0.843478), norm. avg. (of 6) = 0.698364
  fft 15: mflops = 192.106 (norm. = 0.740458), norm. avg. (of 6) = 0.667786
  fft 16: mflops = 196.608 (norm. = 0.757812), norm. avg. (of 6) = 0.917
  fft 17: mflops = 173.557 (norm. = 0.668966), norm. avg. (of 4) = 0.450937
  fft 18: mflops = 109.417 (norm. = 0.421739), norm. avg. (of 6) = 0.227873
  fft 19: mflops = 56.6798 (norm. = 0.218468), norm. avg. (of 6) = 0.154397
  fft 20: mflops = 58.2542 (norm. = 0.224537), norm. avg. (of 6) = 0.162207
  fft 21: mflops = 190.65 (norm. = 0.734848), norm. avg. (of 6) = 0.689437
  fft 22: mflops = 68.3854 (norm. = 0.263587), norm. avg. (of 5) = 0.260897
  fft 23: mflops = 88.6121 (norm. = 0.341549), norm. avg. (of 5) = 0.297603
  fft 24: mflops = 87.9924 (norm. = 0.339161), norm. avg. (of 5) = 0.271282
  fft 25: mflops = 34.9525 (norm. = 0.134722), norm. avg. (of 5) = 0.0766653
  fft 26: mflops = 44.6203 (norm. = 0.171986), norm. avg. (of 6) = 0.103174
  fft 27: mflops = 42.799 (norm. = 0.164966), norm. avg. (of 6) = 0.0880294
  fft 28: mflops = 56.1737 (norm. = 0.216518), norm. avg. (of 6) = 0.159347
  fft 29: mflops = 49.152 (norm. = 0.189453), norm. avg. (of 6) = 0.124279
  fft 30: mflops = 178.481 (norm. = 0.687943), norm. avg. (of 6) = 0.677859
  fft 31: mflops = 175.985 (norm. = 0.678322), norm. avg. (of 6) = 0.488862
  fft 32: mflops = 38.5979 (norm. = 0.148773), norm. avg. (of 5) = 0.0733385
  fft 33: mflops = 99.8644 (norm. = 0.384921), norm. avg. (of 5) = 0.310874
  fft 34: mflops = 106.635 (norm. = 0.411017), norm. avg. (of 6) = 0.207435
  fft 35: mflops = 107.546 (norm. = 0.41453), norm. avg. (of 6) = 0.211103
  fft 36: mflops = 114.39 (norm. = 0.440909), norm. avg. (of 6) = 0.30536
  fft 37: mflops = 53.7731 (norm. = 0.207265), norm. avg. (of 6) = 0.206359
  fft 38: mflops = 52.4288 (norm. = 0.202083), norm. avg. (of 6) = 0.10634
  fft 39: mflops = 47.3042 (norm. = 0.182331), norm. avg. (of 6) = 0.0943927
  fft 40: mflops = 7.63526 (norm. = 0.0294296), norm. avg. (of 6) = 0.0459444
  fft 41: mflops = 259.441 (norm. = 1), norm. avg. (of 6) = 0.572079
  fft 42: mflops = 254.2 (norm. = 0.979798), norm. avg. (of 6) = 0.575185

Benchmarking for array size = 128 (power of 2):
0. Arndt DIF: elapsed time t=1.43 s, 32768 iters, t-(init.)=1.39 s
    t(norm)=0.0473431, mflops=105.612 (err=3.6e-16)
1. Arndt DIT: elapsed time t=1.41 s, 32768 iters, t-(init.)=1.37 s
    t(norm)=0.0466619, mflops=107.154 (err=3.4e-16)
2. Arndt Split-Radix: elapsed time t=1.94 s, 32768 iters, t-(init.)=1.9 s
    t(norm)=0.0647136, mflops=77.2635 (err=4.2e-16)
3. Arndt 4-step: elapsed time t=1.27 s, 8192 iters, t-(init.)=1.26 s
    t(norm)=0.171661, mflops=29.1271 (err=3.1e-16)
4. Bailey: elapsed time t=1.42 s, 32768 iters, t-(init.)=1.37 s
    t(norm)=0.0466619, mflops=107.154 (err=3.4e-16)
5. Beauregard: elapsed time t=1.31 s, 8192 iters, t-(init.)=1.29 s
    t(norm)=0.175749, mflops=28.4497 (err=3.5e-16)
6. Bergland: elapsed time t=1.05 s, 16384 iters, t-(init.)=1.03 s
    t(norm)=0.0701632, mflops=71.2624 (err=3.9e-16)
7. Brenner: elapsed time t=1.4 s, 16384 iters, t-(init.)=1.38 s
    t(norm)=0.094005, mflops=53.1886 (err=4.2e-16)
8. Burrus: elapsed time t=1.27 s, 16384 iters, t-(init.)=1.24 s
    t(norm)=0.0844683, mflops=59.1938 (err=3.3e-16)
9. CWP (min N) (N=130): elapsed time t=1.04 s, 32768 iters, t-(init.)=1 s
    t(norm)=0.0340598, mflops=146.801
10. CWP (best N) (N=140): elapsed time t=1.84 s, 65536 iters, t-(init.)=1.74 s
    t(norm)=0.029632, mflops=168.736
11. Edelblute: elapsed time t=1.22 s, 16384 iters, t-(init.)=1.2 s
    t(norm)=0.0817435, mflops=61.1669 (err=3.3e-16)
12. FFTPACK: elapsed time t=1.77 s, 65536 iters, t-(init.)=1.69 s
    t(norm)=0.0287805, mflops=173.729 (err=3.4e-16)
13. FFTPACK (f2c): elapsed time t=1.04 s, 8192 iters, t-(init.)=1.03 s
    t(norm)=0.140326, mflops=35.6312 (err=3.4e-16)

FFTW_MEASURE plan: (cost = 1.953125e-05)
FFTW_TWIDDLE 8
FFTW_NOTW 16

14. FFTW: elapsed time t=1.3 s, 65536 iters, t-(init.)=1.22 s
    t(norm)=0.0207765, mflops=240.657 (err=3.5e-16)

FFTW_ESTIMATE plan: (cost = 1.075200e+03)
FFTW_TWIDDLE 4
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.53 s, 65536 iters, t-(init.)=1.44 s
    t(norm)=0.0245231, mflops=203.89 (err=3.5e-16)
16. Frigo-old: elapsed time t=1.38 s, 65536 iters, t-(init.)=1.29 s
    t(norm)=0.0219686, mflops=227.598 (err=3.4e-16)
17. Green: elapsed time t=1.74 s, 65536 iters, t-(init.)=1.65 s
    t(norm)=0.0280993, mflops=177.94 (err=4.2e-16)
18. GSL: elapsed time t=1.21 s, 32768 iters, t-(init.)=1.16 s
    t(norm)=0.0395094, mflops=126.552 (err=3.3e-16)
19. GSL DIT: elapsed time t=1.18 s, 16384 iters, t-(init.)=1.16 s
    t(norm)=0.0790187, mflops=63.2761 (err=3.5e-16)
20. GSL DIF: elapsed time t=1.19 s, 16384 iters, t-(init.)=1.17 s
    t(norm)=0.0796999, mflops=62.7353 (err=3.7e-16)
21. Krukar: elapsed time t=1.73 s, 65536 iters, t-(init.)=1.64 s
    t(norm)=0.027929, mflops=179.025 (err=3.6e-16)
22. Mayer (Buneman): elapsed time t=1.98 s, 32768 iters, t-(init.)=1.94 s
    t(norm)=0.066076, mflops=75.6704 (err=3.3e-16)
23. Mayer (simple): elapsed time t=1.52 s, 32768 iters, t-(init.)=1.47 s
    t(norm)=0.0500679, mflops=99.8644
24. Mayer (lookup): elapsed time t=1.52 s, 32768 iters, t-(init.)=1.48 s
    t(norm)=0.0504085, mflops=99.1896 (err=3.4e-16)
25. Monro: elapsed time t=1.77 s, 16384 iters, t-(init.)=1.75 s
    t(norm)=0.119209, mflops=41.943 (err=5.2e-08)
26. NAPACK (f2c): elapsed time t=1.6 s, 16384 iters, t-(init.)=1.58 s
    t(norm)=0.107629, mflops=46.4559 (err=2.1e-15)
27. Nielsen: elapsed time t=1.06 s, 8192 iters, t-(init.)=1.05 s
    t(norm)=0.143051, mflops=34.9525 (err=1.0e-15)
28. NR (C): elapsed time t=1.19 s, 16384 iters, t-(init.)=1.17 s
    t(norm)=0.0796999, mflops=62.7353 (err=3.6e-16)
29. NR (F): elapsed time t=1.33 s, 16384 iters, t-(init.)=1.31 s
    t(norm)=0.0892367, mflops=56.0308 (err=3.6e-16)
30. Ooura (C): elapsed time t=1.69 s, 65536 iters, t-(init.)=1.61 s
    t(norm)=0.0274181, mflops=182.361 (err=3.5e-16)
31. Ooura (F): elapsed time t=1.7 s, 65536 iters, t-(init.)=1.61 s
    t(norm)=0.0274181, mflops=182.361 (err=3.5e-16)
32. Ransom: elapsed time t=1.06 s, 8192 iters, t-(init.)=1.05 s
    t(norm)=0.143051, mflops=34.9525 (err=9.6e-16)
33. SCIPORT: elapsed time t=1.37 s, 32768 iters, t-(init.)=1.32 s
    t(norm)=0.0449589, mflops=111.213 (err=3.7e-16)
34. Singleton: elapsed time t=1.41 s, 32768 iters, t-(init.)=1.36 s
    t(norm)=0.0463213, mflops=107.942 (err=4.2e-16)
35. Singleton (f2c): elapsed time t=1.44 s, 32768 iters, t-(init.)=1.39 s
    t(norm)=0.0473431, mflops=105.612 (err=4.2e-16)
36. Sorensen: elapsed time t=1.1 s, 32768 iters, t-(init.)=1.05 s
    t(norm)=0.0357628, mflops=139.81 (err=3.0e-16)
37. Sorensen DIT: elapsed time t=1.24 s, 16384 iters, t-(init.)=1.21 s
    t(norm)=0.0824247, mflops=60.6614 (err=3.3e-16)
38. Temperton: elapsed time t=1.4 s, 16384 iters, t-(init.)=1.38 s
    t(norm)=0.094005, mflops=53.1886 (err=4.7e-08)
39. Temperton (f2c): elapsed time t=1.48 s, 16384 iters, t-(init.)=1.46 s
    t(norm)=0.0994546, mflops=50.2742 (err=3.6e-16)
40. Valkenburg: elapsed time t=1.21 s, 2048 iters, t-(init.)=1.21 s
    t(norm)=0.659398, mflops=7.58268 (err=5.3e-16)
41. SCSL: elapsed time t=1.07 s, 65536 iters, t-(init.)=0.98 s
    t(norm)=0.0166893, mflops=299.593 (err=3.4e-16)
42. SGIMATH: elapsed time t=1.06 s, 65536 iters, t-(init.)=0.98 s
    t(norm)=0.0166893, mflops=299.593 (err=3.4e-16)

Top mflops for N=128 = 299.593
Normalized results and averages for N=128:
  fft 0: mflops = 105.612 (norm. = 0.352518), norm. avg. (of 7) = 0.445614
  fft 1: mflops = 107.154 (norm. = 0.357664), norm. avg. (of 7) = 0.436259
  fft 2: mflops = 77.2635 (norm. = 0.257895), norm. avg. (of 7) = 0.287733
  fft 3: mflops = 29.1271 (norm. = 0.0972222), norm. avg. (of 7) = 0.0589113
  fft 4: mflops = 107.154 (norm. = 0.357664), norm. avg. (of 7) = 0.24573
  fft 5: mflops = 28.4497 (norm. = 0.0949612), norm. avg. (of 7) = 0.107353
  fft 6: mflops = 71.2624 (norm. = 0.237864), norm. avg. (of 7) = 0.15676
  fft 7: mflops = 53.1886 (norm. = 0.177536), norm. avg. (of 7) = 0.132719
  fft 8: mflops = 59.1938 (norm. = 0.197581), norm. avg. (of 7) = 0.209032
  fft 9: mflops = 146.801 (norm. = 0.49), norm. avg. (of 7) = 0.248284
  fft 10: mflops = 168.736 (norm. = 0.563218), norm. avg. (of 7) = 0.238662
  fft 11: mflops = 61.1669 (norm. = 0.204167), norm. avg. (of 6) = 0.228353
  fft 12: mflops = 173.729 (norm. = 0.579882), norm. avg. (of 7) = 0.361089
  fft 13: mflops = 35.6312 (norm. = 0.118932), norm. avg. (of 7) = 0.116445
  fft 14: mflops = 240.657 (norm. = 0.803279), norm. avg. (of 7) = 0.713352
  fft 15: mflops = 203.89 (norm. = 0.680556), norm. avg. (of 7) = 0.66961
  fft 16: mflops = 227.598 (norm. = 0.75969), norm. avg. (of 7) = 0.894527
  fft 17: mflops = 177.94 (norm. = 0.593939), norm. avg. (of 5) = 0.479537
  fft 18: mflops = 126.552 (norm. = 0.422414), norm. avg. (of 7) = 0.255665
  fft 19: mflops = 63.2761 (norm. = 0.211207), norm. avg. (of 7) = 0.162513
  fft 20: mflops = 62.7353 (norm. = 0.209402), norm. avg. (of 7) = 0.168949
  fft 21: mflops = 179.025 (norm. = 0.597561), norm. avg. (of 7) = 0.676312
  fft 22: mflops = 75.6704 (norm. = 0.252577), norm. avg. (of 6) = 0.259511
  fft 23: mflops = 99.8644 (norm. = 0.333333), norm. avg. (of 6) = 0.303558
  fft 24: mflops = 99.1896 (norm. = 0.331081), norm. avg. (of 6) = 0.281249
  fft 25: mflops = 41.943 (norm. = 0.14), norm. avg. (of 6) = 0.0872211
  fft 26: mflops = 46.4559 (norm. = 0.155063), norm. avg. (of 7) = 0.110586
  fft 27: mflops = 34.9525 (norm. = 0.116667), norm. avg. (of 7) = 0.0921205
  fft 28: mflops = 62.7353 (norm. = 0.209402), norm. avg. (of 7) = 0.166498
  fft 29: mflops = 56.0308 (norm. = 0.187023), norm. avg. (of 7) = 0.133243
  fft 30: mflops = 182.361 (norm. = 0.608696), norm. avg. (of 7) = 0.667979
  fft 31: mflops = 182.361 (norm. = 0.608696), norm. avg. (of 7) = 0.505981
  fft 32: mflops = 34.9525 (norm. = 0.116667), norm. avg. (of 6) = 0.0805599
  fft 33: mflops = 111.213 (norm. = 0.371212), norm. avg. (of 6) = 0.320931
  fft 34: mflops = 107.942 (norm. = 0.360294), norm. avg. (of 7) = 0.229272
  fft 35: mflops = 105.612 (norm. = 0.352518), norm. avg. (of 7) = 0.231305
  fft 36: mflops = 139.81 (norm. = 0.466667), norm. avg. (of 7) = 0.328404
  fft 37: mflops = 60.6614 (norm. = 0.202479), norm. avg. (of 7) = 0.205805
  fft 38: mflops = 53.1886 (norm. = 0.177536), norm. avg. (of 7) = 0.116511
  fft 39: mflops = 50.2742 (norm. = 0.167808), norm. avg. (of 7) = 0.104881
  fft 40: mflops = 7.58268 (norm. = 0.0253099), norm. avg. (of 7) = 0.0429966
  fft 41: mflops = 299.593 (norm. = 1), norm. avg. (of 7) = 0.633211
  fft 42: mflops = 299.593 (norm. = 1), norm. avg. (of 7) = 0.635873

Benchmarking for array size = 256 (power of 2):
0. Arndt DIF: elapsed time t=1.59 s, 16384 iters, t-(init.)=1.55 s
    t(norm)=0.0461936, mflops=108.24 (err=1.0e-15)
1. Arndt DIT: elapsed time t=1.59 s, 16384 iters, t-(init.)=1.55 s
    t(norm)=0.0461936, mflops=108.24 (err=1.0e-15)
2. Arndt Split-Radix: elapsed time t=1.02 s, 8192 iters, t-(init.)=1 s
    t(norm)=0.0596046, mflops=83.8861 (err=1.0e-15)
3. Arndt 4-step: elapsed time t=1.14 s, 4096 iters, t-(init.)=1.13 s
    t(norm)=0.134706, mflops=37.1177 (err=1.0e-15)
4. Bailey: elapsed time t=1.73 s, 16384 iters, t-(init.)=1.68 s
    t(norm)=0.0500679, mflops=99.8644 (err=1.0e-15)
5. Beauregard: elapsed time t=1.43 s, 4096 iters, t-(init.)=1.42 s
    t(norm)=0.169277, mflops=29.5374 (err=1.1e-15)
6. Bergland: elapsed time t=1.06 s, 8192 iters, t-(init.)=1.04 s
    t(norm)=0.0619888, mflops=80.6597 (err=1.0e-15)
7. Brenner: elapsed time t=1.52 s, 8192 iters, t-(init.)=1.5 s
    t(norm)=0.089407, mflops=55.9241 (err=1.1e-15)
8. Burrus: elapsed time t=1.32 s, 8192 iters, t-(init.)=1.3 s
    t(norm)=0.077486, mflops=64.5278 (err=1.0e-15)
9. CWP (min N) (N=260): elapsed time t=1.91 s, 32768 iters, t-(init.)=1.82 s
    t(norm)=0.0271201, mflops=184.365
10. CWP (best N) (N=280): elapsed time t=1.67 s, 32768 iters, t-(init.)=1.57 s
    t(norm)=0.0233948, mflops=213.722
11. Edelblute: elapsed time t=1.28 s, 8192 iters, t-(init.)=1.26 s
    t(norm)=0.0751019, mflops=66.5763 (err=1.0e-15)
12. FFTPACK: elapsed time t=1.68 s, 32768 iters, t-(init.)=1.6 s
    t(norm)=0.0238419, mflops=209.715 (err=1.1e-15)
13. FFTPACK (f2c): elapsed time t=1.03 s, 4096 iters, t-(init.)=1.02 s
    t(norm)=0.121593, mflops=41.1206 (err=1.1e-15)

FFTW_MEASURE plan: (cost = 4.516602e-05)
FFTW_TWIDDLE 16
FFTW_NOTW 16

14. FFTW: elapsed time t=1.73 s, 32768 iters, t-(init.)=1.65 s
    t(norm)=0.0245869, mflops=203.36 (err=1.1e-15)

FFTW_ESTIMATE plan: (cost = 9.216000e+02)
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.82 s, 32768 iters, t-(init.)=1.73 s
    t(norm)=0.025779, mflops=193.956 (err=1.0e-15)
16. Frigo-old: elapsed time t=1.79 s, 32768 iters, t-(init.)=1.71 s
    t(norm)=0.025481, mflops=196.225 (err=1.0e-15)
17. Green: elapsed time t=1.78 s, 32768 iters, t-(init.)=1.69 s
    t(norm)=0.025183, mflops=198.547 (err=1.1e-15)
18. GSL: elapsed time t=1.26 s, 16384 iters, t-(init.)=1.22 s
    t(norm)=0.0363588, mflops=137.518 (err=1.1e-15)
19. GSL DIT: elapsed time t=1.22 s, 8192 iters, t-(init.)=1.2 s
    t(norm)=0.0715256, mflops=69.9051 (err=1.0e-15)
20. GSL DIF: elapsed time t=1.24 s, 8192 iters, t-(init.)=1.22 s
    t(norm)=0.0727177, mflops=68.7591 (err=1.1e-15)
21. Krukar: elapsed time t=1.04 s, 16384 iters, t-(init.)=1 s
    t(norm)=0.0298023, mflops=167.772 (err=1.1e-15)
22. Mayer (Buneman): elapsed time t=1.08 s, 8192 iters, t-(init.)=1.05 s
    t(norm)=0.0625849, mflops=79.8915 (err=9.8e-16)
23. Mayer (simple): elapsed time t=1.66 s, 16384 iters, t-(init.)=1.62 s
    t(norm)=0.0482798, mflops=103.563
24. Mayer (lookup): elapsed time t=1.62 s, 16384 iters, t-(init.)=1.57 s
    t(norm)=0.0467896, mflops=106.861 (err=9.6e-16)
25. Monro: elapsed time t=1.84 s, 8192 iters, t-(init.)=1.82 s
    t(norm)=0.10848, mflops=46.0913 (err=8.5e-08)
26. NAPACK (f2c): elapsed time t=1.57 s, 8192 iters, t-(init.)=1.54 s
    t(norm)=0.0917912, mflops=54.4715 (err=4.9e-15)
27. Nielsen: elapsed time t=1.97 s, 8192 iters, t-(init.)=1.94 s
    t(norm)=0.115633, mflops=43.2402 (err=4.3e-15)
28. NR (C): elapsed time t=1.27 s, 8192 iters, t-(init.)=1.24 s
    t(norm)=0.0739098, mflops=67.6501 (err=1.1e-15)
29. NR (F): elapsed time t=1.36 s, 8192 iters, t-(init.)=1.34 s
    t(norm)=0.0798702, mflops=62.6016 (err=1.1e-15)
30. Ooura (C): elapsed time t=1.84 s, 32768 iters, t-(init.)=1.75 s
    t(norm)=0.026077, mflops=191.74 (err=1.0e-15)
31. Ooura (F): elapsed time t=1.76 s, 32768 iters, t-(init.)=1.67 s
    t(norm)=0.0248849, mflops=200.925 (err=1.0e-15)
32. Ransom: elapsed time t=1.6 s, 8192 iters, t-(init.)=1.57 s
    t(norm)=0.0935793, mflops=53.4306 (err=1.8e-15)
33. SCIPORT: elapsed time t=1.47 s, 16384 iters, t-(init.)=1.42 s
    t(norm)=0.0423193, mflops=118.149 (err=1.1e-15)
34. Singleton: elapsed time t=1.28 s, 16384 iters, t-(init.)=1.23 s
    t(norm)=0.0366569, mflops=136.4 (err=1.7e-15)
35. Singleton (f2c): elapsed time t=1.28 s, 16384 iters, t-(init.)=1.24 s
    t(norm)=0.0369549, mflops=135.3 (err=1.7e-15)
36. Sorensen: elapsed time t=1.12 s, 16384 iters, t-(init.)=1.08 s
    t(norm)=0.0321865, mflops=155.345 (err=9.6e-16)
37. Sorensen DIT: elapsed time t=1.32 s, 8192 iters, t-(init.)=1.3 s
    t(norm)=0.077486, mflops=64.5278 (err=9.8e-16)
38. Temperton: elapsed time t=1.52 s, 8192 iters, t-(init.)=1.5 s
    t(norm)=0.089407, mflops=55.9241 (err=9.5e-08)
39. Temperton (f2c): elapsed time t=1.51 s, 8192 iters, t-(init.)=1.49 s
    t(norm)=0.0888109, mflops=56.2994 (err=1.1e-15)
40. Valkenburg: elapsed time t=1.36 s, 1024 iters, t-(init.)=1.36 s
    t(norm)=0.648499, mflops=7.71012 (err=1.1e-15)
41. SCSL: elapsed time t=1.15 s, 32768 iters, t-(init.)=1.06 s
    t(norm)=0.0157952, mflops=316.551 (err=1.1e-15)
42. SGIMATH: elapsed time t=1.16 s, 32768 iters, t-(init.)=1.07 s
    t(norm)=0.0159442, mflops=313.593 (err=1.1e-15)

Top mflops for N=256 = 316.551
Normalized results and averages for N=256:
  fft 0: mflops = 108.24 (norm. = 0.341935), norm. avg. (of 8) = 0.432654
  fft 1: mflops = 108.24 (norm. = 0.341935), norm. avg. (of 8) = 0.424468
  fft 2: mflops = 83.8861 (norm. = 0.265), norm. avg. (of 8) = 0.284891
  fft 3: mflops = 37.1177 (norm. = 0.117257), norm. avg. (of 8) = 0.0662045
  fft 4: mflops = 99.8644 (norm. = 0.315476), norm. avg. (of 8) = 0.254448
  fft 5: mflops = 29.5374 (norm. = 0.0933099), norm. avg. (of 8) = 0.105597
  fft 6: mflops = 80.6597 (norm. = 0.254808), norm. avg. (of 8) = 0.169016
  fft 7: mflops = 55.9241 (norm. = 0.176667), norm. avg. (of 8) = 0.138212
  fft 8: mflops = 64.5278 (norm. = 0.203846), norm. avg. (of 8) = 0.208384
  fft 9: mflops = 184.365 (norm. = 0.582418), norm. avg. (of 8) = 0.290051
  fft 10: mflops = 213.722 (norm. = 0.675159), norm. avg. (of 8) = 0.293224
  fft 11: mflops = 66.5763 (norm. = 0.210317), norm. avg. (of 7) = 0.225776
  fft 12: mflops = 209.715 (norm. = 0.6625), norm. avg. (of 8) = 0.398766
  fft 13: mflops = 41.1206 (norm. = 0.129902), norm. avg. (of 8) = 0.118127
  fft 14: mflops = 203.36 (norm. = 0.642424), norm. avg. (of 8) = 0.704486
  fft 15: mflops = 193.956 (norm. = 0.612717), norm. avg. (of 8) = 0.662499
  fft 16: mflops = 196.225 (norm. = 0.619883), norm. avg. (of 8) = 0.860196
  fft 17: mflops = 198.547 (norm. = 0.627219), norm. avg. (of 6) = 0.504151
  fft 18: mflops = 137.518 (norm. = 0.434426), norm. avg. (of 8) = 0.27801
  fft 19: mflops = 69.9051 (norm. = 0.220833), norm. avg. (of 8) = 0.169803
  fft 20: mflops = 68.7591 (norm. = 0.217213), norm. avg. (of 8) = 0.174982
  fft 21: mflops = 167.772 (norm. = 0.53), norm. avg. (of 8) = 0.658023
  fft 22: mflops = 79.8915 (norm. = 0.252381), norm. avg. (of 7) = 0.258492
  fft 23: mflops = 103.563 (norm. = 0.32716), norm. avg. (of 7) = 0.30693
  fft 24: mflops = 106.861 (norm. = 0.33758), norm. avg. (of 7) = 0.289296
  fft 25: mflops = 46.0913 (norm. = 0.145604), norm. avg. (of 7) = 0.0955615
  fft 26: mflops = 54.4715 (norm. = 0.172078), norm. avg. (of 8) = 0.118273
  fft 27: mflops = 43.2402 (norm. = 0.136598), norm. avg. (of 8) = 0.0976801
  fft 28: mflops = 67.6501 (norm. = 0.21371), norm. avg. (of 8) = 0.172399
  fft 29: mflops = 62.6016 (norm. = 0.197761), norm. avg. (of 8) = 0.141307
  fft 30: mflops = 191.74 (norm. = 0.605714), norm. avg. (of 8) = 0.660196
  fft 31: mflops = 200.925 (norm. = 0.634731), norm. avg. (of 8) = 0.522075
  fft 32: mflops = 53.4306 (norm. = 0.16879), norm. avg. (of 7) = 0.0931642
  fft 33: mflops = 118.149 (norm. = 0.373239), norm. avg. (of 7) = 0.328403
  fft 34: mflops = 136.4 (norm. = 0.430894), norm. avg. (of 8) = 0.254475
  fft 35: mflops = 135.3 (norm. = 0.427419), norm. avg. (of 8) = 0.25582
  fft 36: mflops = 155.345 (norm. = 0.490741), norm. avg. (of 8) = 0.348696
  fft 37: mflops = 64.5278 (norm. = 0.203846), norm. avg. (of 8) = 0.20556
  fft 38: mflops = 55.9241 (norm. = 0.176667), norm. avg. (of 8) = 0.12403
  fft 39: mflops = 56.2994 (norm. = 0.177852), norm. avg. (of 8) = 0.114002
  fft 40: mflops = 7.71012 (norm. = 0.0243566), norm. avg. (of 8) = 0.0406666
  fft 41: mflops = 316.551 (norm. = 1), norm. avg. (of 8) = 0.67906
  fft 42: mflops = 313.593 (norm. = 0.990654), norm. avg. (of 8) = 0.680221

Benchmarking for array size = 512 (power of 2):
0. Arndt DIF: elapsed time t=1.67 s, 8192 iters, t-(init.)=1.63 s
    t(norm)=0.0431803, mflops=115.794 (err=1.1e-15)
1. Arndt DIT: elapsed time t=1.64 s, 8192 iters, t-(init.)=1.6 s
    t(norm)=0.0423855, mflops=117.965 (err=1.1e-15)
2. Arndt Split-Radix: elapsed time t=1.1 s, 4096 iters, t-(init.)=1.08 s
    t(norm)=0.0572205, mflops=87.3813 (err=1.1e-15)
3. Arndt 4-step: elapsed time t=1.24 s, 2048 iters, t-(init.)=1.23 s
    t(norm)=0.130335, mflops=38.3625 (err=1.0e-15)
4. Bailey: elapsed time t=1.73 s, 8192 iters, t-(init.)=1.68 s
    t(norm)=0.0445048, mflops=112.347 (err=1.1e-15)
5. Beauregard: elapsed time t=1.6 s, 2048 iters, t-(init.)=1.59 s
    t(norm)=0.168482, mflops=29.6767 (err=1.0e-15)
6. Bergland: elapsed time t=1.1 s, 4096 iters, t-(init.)=1.08 s
    t(norm)=0.0572205, mflops=87.3813 (err=1.0e-15)
7. Brenner: elapsed time t=1.57 s, 4096 iters, t-(init.)=1.55 s
    t(norm)=0.082122, mflops=60.8851 (err=9.9e-16)
8. Burrus: elapsed time t=1.39 s, 4096 iters, t-(init.)=1.37 s
    t(norm)=0.0725852, mflops=68.8846 (err=1.1e-15)
9. CWP (min N) (N=520): elapsed time t=1.95 s, 16384 iters, t-(init.)=1.86 s
    t(norm)=0.0246366, mflops=202.95
10. CWP (best N) (N=560): elapsed time t=1.88 s, 16384 iters, t-(init.)=1.79 s
    t(norm)=0.0237094, mflops=210.887
11. Edelblute: elapsed time t=1.35 s, 4096 iters, t-(init.)=1.32 s
    t(norm)=0.0699361, mflops=71.4938 (err=1.1e-15)
12. FFTPACK: elapsed time t=1.14 s, 8192 iters, t-(init.)=1.1 s
    t(norm)=0.02914, mflops=171.585 (err=1.0e-15)
13. FFTPACK (f2c): elapsed time t=1.4 s, 2048 iters, t-(init.)=1.39 s
    t(norm)=0.14729, mflops=33.9467 (err=1.0e-15)

FFTW_MEASURE plan: (cost = 1.074219e-04)
FFTW_TWIDDLE 16
FFTW_NOTW 32

14. FFTW: elapsed time t=1.86 s, 16384 iters, t-(init.)=1.77 s
    t(norm)=0.0234445, mflops=213.27 (err=9.7e-16)

FFTW_ESTIMATE plan: (cost = 1.843200e+03)
FFTW_TWIDDLE 16
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.87 s, 16384 iters, t-(init.)=1.78 s
    t(norm)=0.0235769, mflops=212.072 (err=9.7e-16)
16. Frigo-old: elapsed time t=1.04 s, 8192 iters, t-(init.)=1 s
    t(norm)=0.026491, mflops=188.744 (err=9.5e-16)
17. Green: elapsed time t=1.82 s, 16384 iters, t-(init.)=1.73 s
    t(norm)=0.0229147, mflops=218.201 (err=9.8e-16)
18. GSL: elapsed time t=1.64 s, 8192 iters, t-(init.)=1.6 s
    t(norm)=0.0423855, mflops=117.965 (err=1.0e-15)
19. GSL DIT: elapsed time t=1.33 s, 4096 iters, t-(init.)=1.31 s
    t(norm)=0.0694063, mflops=72.0396 (err=1.2e-15)
20. GSL DIF: elapsed time t=1.34 s, 4096 iters, t-(init.)=1.32 s
    t(norm)=0.0699361, mflops=71.4938 (err=1.1e-15)
21. Krukar: elapsed time t=1.23 s, 8192 iters, t-(init.)=1.19 s
    t(norm)=0.0315242, mflops=158.608 (err=1.0e-15)
22. Mayer (Buneman): elapsed time t=1.13 s, 4096 iters, t-(init.)=1.11 s
    t(norm)=0.0588099, mflops=85.0197 (err=1.0e-15)
23. Mayer (simple): elapsed time t=1.72 s, 8192 iters, t-(init.)=1.68 s
    t(norm)=0.0445048, mflops=112.347
24. Mayer (lookup): elapsed time t=1.73 s, 8192 iters, t-(init.)=1.69 s
    t(norm)=0.0447697, mflops=111.683 (err=9.8e-16)
25. Monro: elapsed time t=1.86 s, 4096 iters, t-(init.)=1.84 s
    t(norm)=0.0974867, mflops=51.289 (err=8.4e-08)
26. NAPACK (f2c): elapsed time t=1.84 s, 4096 iters, t-(init.)=1.82 s
    t(norm)=0.0964271, mflops=51.8527 (err=6.9e-15)
27. Nielsen: elapsed time t=1.86 s, 4096 iters, t-(init.)=1.84 s
    t(norm)=0.0974867, mflops=51.289 (err=3.7e-15)
28. NR (C): elapsed time t=1.35 s, 4096 iters, t-(init.)=1.33 s
    t(norm)=0.0704659, mflops=70.9563 (err=1.1e-15)
29. NR (F): elapsed time t=1.42 s, 4096 iters, t-(init.)=1.4 s
    t(norm)=0.0741747, mflops=67.4085 (err=1.1e-15)
30. Ooura (C): elapsed time t=1.01 s, 8192 iters, t-(init.)=0.97 s
    t(norm)=0.0256962, mflops=194.581 (err=9.8e-16)
31. Ooura (F): elapsed time t=1.97 s, 16384 iters, t-(init.)=1.88 s
    t(norm)=0.0249015, mflops=200.791 (err=9.8e-16)
32. Ransom: elapsed time t=1.91 s, 4096 iters, t-(init.)=1.89 s
    t(norm)=0.100136, mflops=49.9322 (err=1.4e-15)
33. SCIPORT: elapsed time t=1.67 s, 8192 iters, t-(init.)=1.63 s
    t(norm)=0.0431803, mflops=115.794 (err=1.0e-15)
34. Singleton: elapsed time t=1.39 s, 8192 iters, t-(init.)=1.35 s
    t(norm)=0.0357628, mflops=139.81 (err=1.2e-15)
35. Singleton (f2c): elapsed time t=1.38 s, 8192 iters, t-(init.)=1.34 s
    t(norm)=0.0354979, mflops=140.853 (err=1.2e-15)
36. Sorensen: elapsed time t=1.14 s, 8192 iters, t-(init.)=1.1 s
    t(norm)=0.02914, mflops=171.585 (err=1.0e-15)
37. Sorensen DIT: elapsed time t=1.38 s, 4096 iters, t-(init.)=1.35 s
    t(norm)=0.0715256, mflops=69.9051 (err=1.1e-15)
38. Temperton: elapsed time t=1.75 s, 4096 iters, t-(init.)=1.73 s
    t(norm)=0.0916587, mflops=54.5502 (err=1.0e-07)
39. Temperton (f2c): elapsed time t=1.86 s, 4096 iters, t-(init.)=1.84 s
    t(norm)=0.0974867, mflops=51.289 (err=9.9e-16)
40. Valkenburg: elapsed time t=1.5 s, 512 iters, t-(init.)=1.49 s
    t(norm)=0.631544, mflops=7.9171 (err=1.3e-15)
41. SCSL: elapsed time t=1.24 s, 16384 iters, t-(init.)=1.15 s
    t(norm)=0.0152323, mflops=328.25 (err=9.8e-16)
42. SGIMATH: elapsed time t=1.48 s, 16384 iters, t-(init.)=1.4 s
    t(norm)=0.0185437, mflops=269.634 (err=9.8e-16)

Top mflops for N=512 = 328.25
Normalized results and averages for N=512:
  fft 0: mflops = 115.794 (norm. = 0.352761), norm. avg. (of 9) = 0.423777
  fft 1: mflops = 117.965 (norm. = 0.359375), norm. avg. (of 9) = 0.417236
  fft 2: mflops = 87.3813 (norm. = 0.266204), norm. avg. (of 9) = 0.282815
  fft 3: mflops = 38.3625 (norm. = 0.11687), norm. avg. (of 9) = 0.071834
  fft 4: mflops = 112.347 (norm. = 0.342262), norm. avg. (of 9) = 0.264205
  fft 5: mflops = 29.6767 (norm. = 0.0904088), norm. avg. (of 9) = 0.10391
  fft 6: mflops = 87.3813 (norm. = 0.266204), norm. avg. (of 9) = 0.179815
  fft 7: mflops = 60.8851 (norm. = 0.185484), norm. avg. (of 9) = 0.143465
  fft 8: mflops = 68.8846 (norm. = 0.209854), norm. avg. (of 9) = 0.208547
  fft 9: mflops = 202.95 (norm. = 0.61828), norm. avg. (of 9) = 0.32652
  fft 10: mflops = 210.887 (norm. = 0.642458), norm. avg. (of 9) = 0.332028
  fft 11: mflops = 71.4938 (norm. = 0.217803), norm. avg. (of 8) = 0.22478
  fft 12: mflops = 171.585 (norm. = 0.522727), norm. avg. (of 9) = 0.412539
  fft 13: mflops = 33.9467 (norm. = 0.103417), norm. avg. (of 9) = 0.116493
  fft 14: mflops = 213.27 (norm. = 0.649718), norm. avg. (of 9) = 0.698401
  fft 15: mflops = 212.072 (norm. = 0.646067), norm. avg. (of 9) = 0.660673
  fft 16: mflops = 188.744 (norm. = 0.575), norm. avg. (of 9) = 0.828508
  fft 17: mflops = 218.201 (norm. = 0.66474), norm. avg. (of 7) = 0.527092
  fft 18: mflops = 117.965 (norm. = 0.359375), norm. avg. (of 9) = 0.28705
  fft 19: mflops = 72.0396 (norm. = 0.219466), norm. avg. (of 9) = 0.175321
  fft 20: mflops = 71.4938 (norm. = 0.217803), norm. avg. (of 9) = 0.17974
  fft 21: mflops = 158.608 (norm. = 0.483193), norm. avg. (of 9) = 0.638597
  fft 22: mflops = 85.0197 (norm. = 0.259009), norm. avg. (of 8) = 0.258557
  fft 23: mflops = 112.347 (norm. = 0.342262), norm. avg. (of 8) = 0.311347
  fft 24: mflops = 111.683 (norm. = 0.340237), norm. avg. (of 8) = 0.295664
  fft 25: mflops = 51.289 (norm. = 0.15625), norm. avg. (of 8) = 0.103148
  fft 26: mflops = 51.8527 (norm. = 0.157967), norm. avg. (of 9) = 0.122683
  fft 27: mflops = 51.289 (norm. = 0.15625), norm. avg. (of 9) = 0.104188
  fft 28: mflops = 70.9563 (norm. = 0.216165), norm. avg. (of 9) = 0.177262
  fft 29: mflops = 67.4085 (norm. = 0.205357), norm. avg. (of 9) = 0.148424
  fft 30: mflops = 194.581 (norm. = 0.592784), norm. avg. (of 9) = 0.652706
  fft 31: mflops = 200.791 (norm. = 0.611702), norm. avg. (of 9) = 0.532033
  fft 32: mflops = 49.9322 (norm. = 0.152116), norm. avg. (of 8) = 0.100533
  fft 33: mflops = 115.794 (norm. = 0.352761), norm. avg. (of 8) = 0.331448
  fft 34: mflops = 139.81 (norm. = 0.425926), norm. avg. (of 9) = 0.273525
  fft 35: mflops = 140.853 (norm. = 0.429104), norm. avg. (of 9) = 0.275073
  fft 36: mflops = 171.585 (norm. = 0.522727), norm. avg. (of 9) = 0.368033
  fft 37: mflops = 69.9051 (norm. = 0.212963), norm. avg. (of 9) = 0.206383
  fft 38: mflops = 54.5502 (norm. = 0.166185), norm. avg. (of 9) = 0.128714
  fft 39: mflops = 51.289 (norm. = 0.15625), norm. avg. (of 9) = 0.118696
  fft 40: mflops = 7.9171 (norm. = 0.0241191), norm. avg. (of 9) = 0.038828
  fft 41: mflops = 328.25 (norm. = 1), norm. avg. (of 9) = 0.71472
  fft 42: mflops = 269.634 (norm. = 0.821429), norm. avg. (of 9) = 0.695911

Benchmarking for array size = 1024 (power of 2):
0. Arndt DIF: elapsed time t=1.82 s, 4096 iters, t-(init.)=1.78 s
    t(norm)=0.0424385, mflops=117.818 (err=1.8e-15)
1. Arndt DIT: elapsed time t=1.82 s, 4096 iters, t-(init.)=1.77 s
    t(norm)=0.0422001, mflops=118.483 (err=1.9e-15)
2. Arndt Split-Radix: elapsed time t=1.15 s, 2048 iters, t-(init.)=1.13 s
    t(norm)=0.0538826, mflops=92.7943 (err=1.8e-15)
3. Arndt 4-step: elapsed time t=1.13 s, 1024 iters, t-(init.)=1.12 s
    t(norm)=0.106812, mflops=46.8114 (err=1.8e-15)
4. Bailey: elapsed time t=1.26 s, 2048 iters, t-(init.)=1.23 s
    t(norm)=0.058651, mflops=85.2501 (err=1.8e-15)
5. Beauregard: elapsed time t=1.84 s, 1024 iters, t-(init.)=1.83 s
    t(norm)=0.174522, mflops=28.6496 (err=2.0e-15)
6. Bergland: elapsed time t=1.17 s, 2048 iters, t-(init.)=1.14 s
    t(norm)=0.0543594, mflops=91.9804 (err=2.1e-15)
7. Brenner: elapsed time t=1.67 s, 2048 iters, t-(init.)=1.65 s
    t(norm)=0.0786781, mflops=63.5501 (err=1.9e-15)
8. Burrus: elapsed time t=1.44 s, 2048 iters, t-(init.)=1.42 s
    t(norm)=0.0677109, mflops=73.8434 (err=1.8e-15)
9. CWP (min N) (N=1040): elapsed time t=1.07 s, 4096 iters, t-(init.)=1.03 s
    t(norm)=0.0245571, mflops=203.607
10. CWP (best N) (N=1040): elapsed time t=1.06 s, 4096 iters, t-(init.)=1.01 s
    t(norm)=0.0240803, mflops=207.639
11. Edelblute: elapsed time t=1.41 s, 2048 iters, t-(init.)=1.39 s
    t(norm)=0.0662804, mflops=75.4371 (err=1.8e-15)
12. FFTPACK: elapsed time t=1.49 s, 4096 iters, t-(init.)=1.44 s
    t(norm)=0.0343323, mflops=145.636 (err=1.9e-15)
13. FFTPACK (f2c): elapsed time t=1.46 s, 1024 iters, t-(init.)=1.45 s
    t(norm)=0.138283, mflops=36.1578 (err=1.9e-15)

FFTW_MEASURE plan: (cost = 2.539063e-04)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 16

14. FFTW: elapsed time t=1.09 s, 4096 iters, t-(init.)=1.04 s
    t(norm)=0.0247955, mflops=201.649 (err=2.0e-15)

FFTW_ESTIMATE plan: (cost = 1.126400e+04)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.23 s, 4096 iters, t-(init.)=1.18 s
    t(norm)=0.0281334, mflops=177.725 (err=1.9e-15)
16. Frigo-old: elapsed time t=1.22 s, 4096 iters, t-(init.)=1.18 s
    t(norm)=0.0281334, mflops=177.725 (err=1.9e-15)
17. Green: elapsed time t=1 s, 4096 iters, t-(init.)=0.95 s
    t(norm)=0.0226498, mflops=220.753 (err=2.0e-15)
18. GSL: elapsed time t=1.68 s, 4096 iters, t-(init.)=1.64 s
    t(norm)=0.0391006, mflops=127.875 (err=1.9e-15)
19. GSL DIT: elapsed time t=1.49 s, 2048 iters, t-(init.)=1.46 s
    t(norm)=0.0696182, mflops=71.8203 (err=2.1e-15)
20. GSL DIF: elapsed time t=1.52 s, 2048 iters, t-(init.)=1.5 s
    t(norm)=0.0715256, mflops=69.9051 (err=2.2e-15)
21. Krukar: elapsed time t=1.19 s, 2048 iters, t-(init.)=1.17 s
    t(norm)=0.0557899, mflops=89.6219 (err=1.9e-15)
22. Mayer (Buneman): elapsed time t=1.21 s, 2048 iters, t-(init.)=1.19 s
    t(norm)=0.0567436, mflops=88.1156 (err=1.8e-15)
23. Mayer (simple): elapsed time t=1.87 s, 4096 iters, t-(init.)=1.83 s
    t(norm)=0.0436306, mflops=114.598
24. Mayer (lookup): elapsed time t=1.83 s, 4096 iters, t-(init.)=1.79 s
    t(norm)=0.0426769, mflops=117.159 (err=1.8e-15)
25. Monro: elapsed time t=1.95 s, 2048 iters, t-(init.)=1.93 s
    t(norm)=0.0920296, mflops=54.3304 (err=1.0e-07)
26. NAPACK (f2c): elapsed time t=1.85 s, 2048 iters, t-(init.)=1.83 s
    t(norm)=0.0872612, mflops=57.2992 (err=1.6e-14)
27. Nielsen: elapsed time t=1.25 s, 1024 iters, t-(init.)=1.24 s
    t(norm)=0.118256, mflops=42.2813 (err=7.5e-15)
28. NR (C): elapsed time t=1.45 s, 2048 iters, t-(init.)=1.43 s
    t(norm)=0.0681877, mflops=73.327 (err=2.0e-15)
29. NR (F): elapsed time t=1.48 s, 2048 iters, t-(init.)=1.46 s
    t(norm)=0.0696182, mflops=71.8203 (err=2.0e-15)
30. Ooura (C): elapsed time t=1.08 s, 4096 iters, t-(init.)=1.04 s
    t(norm)=0.0247955, mflops=201.649 (err=2.2e-15)
31. Ooura (F): elapsed time t=1.04 s, 4096 iters, t-(init.)=1 s
    t(norm)=0.0238419, mflops=209.715 (err=2.2e-15)
32. Ransom: elapsed time t=1.66 s, 2048 iters, t-(init.)=1.64 s
    t(norm)=0.0782013, mflops=63.9376 (err=2.3e-15)
33. SCIPORT: elapsed time t=1.02 s, 2048 iters, t-(init.)=1 s
    t(norm)=0.0476837, mflops=104.858 (err=2.0e-15)
34. Singleton: elapsed time t=1.42 s, 4096 iters, t-(init.)=1.37 s
    t(norm)=0.0326633, mflops=153.077 (err=2.8e-15)
35. Singleton (f2c): elapsed time t=1.4 s, 4096 iters, t-(init.)=1.35 s
    t(norm)=0.0321865, mflops=155.345 (err=2.8e-15)
36. Sorensen: elapsed time t=1.19 s, 4096 iters, t-(init.)=1.15 s
    t(norm)=0.0274181, mflops=182.361 (err=1.8e-15)
37. Sorensen DIT: elapsed time t=1.44 s, 2048 iters, t-(init.)=1.42 s
    t(norm)=0.0677109, mflops=73.8434 (err=1.9e-15)
38. Temperton: elapsed time t=1.68 s, 2048 iters, t-(init.)=1.66 s
    t(norm)=0.079155, mflops=63.1672 (err=1.1e-07)
39. Temperton (f2c): elapsed time t=1.77 s, 2048 iters, t-(init.)=1.75 s
    t(norm)=0.0834465, mflops=59.9186 (err=1.9e-15)
40. Valkenburg: elapsed time t=1.68 s, 256 iters, t-(init.)=1.68 s
    t(norm)=0.640869, mflops=7.8019 (err=2.4e-15)
41. SCSL: elapsed time t=1.9 s, 8192 iters, t-(init.)=1.81 s
    t(norm)=0.0215769, mflops=231.73 (err=1.9e-15)
42. SGIMATH: elapsed time t=1.83 s, 8192 iters, t-(init.)=1.74 s
    t(norm)=0.0207424, mflops=241.052 (err=1.9e-15)

Top mflops for N=1024 = 241.052
Normalized results and averages for N=1024:
  fft 0: mflops = 117.818 (norm. = 0.488764), norm. avg. (of 10) = 0.430276
  fft 1: mflops = 118.483 (norm. = 0.491525), norm. avg. (of 10) = 0.424665
  fft 2: mflops = 92.7943 (norm. = 0.384956), norm. avg. (of 10) = 0.293029
  fft 3: mflops = 46.8114 (norm. = 0.194196), norm. avg. (of 10) = 0.0840702
  fft 4: mflops = 85.2501 (norm. = 0.353659), norm. avg. (of 10) = 0.27315
  fft 5: mflops = 28.6496 (norm. = 0.118852), norm. avg. (of 10) = 0.105404
  fft 6: mflops = 91.9804 (norm. = 0.381579), norm. avg. (of 10) = 0.199991
  fft 7: mflops = 63.5501 (norm. = 0.263636), norm. avg. (of 10) = 0.155482
  fft 8: mflops = 73.8434 (norm. = 0.306338), norm. avg. (of 10) = 0.218326
  fft 9: mflops = 203.607 (norm. = 0.84466), norm. avg. (of 10) = 0.378334
  fft 10: mflops = 207.639 (norm. = 0.861386), norm. avg. (of 10) = 0.384964
  fft 11: mflops = 75.4371 (norm. = 0.31295), norm. avg. (of 9) = 0.234576
  fft 12: mflops = 145.636 (norm. = 0.604167), norm. avg. (of 10) = 0.431702
  fft 13: mflops = 36.1578 (norm. = 0.15), norm. avg. (of 10) = 0.119844
  fft 14: mflops = 201.649 (norm. = 0.836538), norm. avg. (of 10) = 0.712215
  fft 15: mflops = 177.725 (norm. = 0.737288), norm. avg. (of 10) = 0.668335
  fft 16: mflops = 177.725 (norm. = 0.737288), norm. avg. (of 10) = 0.819386
  fft 17: mflops = 220.753 (norm. = 0.915789), norm. avg. (of 8) = 0.575679
  fft 18: mflops = 127.875 (norm. = 0.530488), norm. avg. (of 10) = 0.311394
  fft 19: mflops = 71.8203 (norm. = 0.297945), norm. avg. (of 10) = 0.187583
  fft 20: mflops = 69.9051 (norm. = 0.29), norm. avg. (of 10) = 0.190766
  fft 21: mflops = 89.6219 (norm. = 0.371795), norm. avg. (of 10) = 0.611917
  fft 22: mflops = 88.1156 (norm. = 0.365546), norm. avg. (of 9) = 0.270444
  fft 23: mflops = 114.598 (norm. = 0.47541), norm. avg. (of 9) = 0.329576
  fft 24: mflops = 117.159 (norm. = 0.486034), norm. avg. (of 9) = 0.316816
  fft 25: mflops = 54.3304 (norm. = 0.225389), norm. avg. (of 9) = 0.11673
  fft 26: mflops = 57.2992 (norm. = 0.237705), norm. avg. (of 10) = 0.134185
  fft 27: mflops = 42.2813 (norm. = 0.175403), norm. avg. (of 10) = 0.111309
  fft 28: mflops = 73.327 (norm. = 0.304196), norm. avg. (of 10) = 0.189956
  fft 29: mflops = 71.8203 (norm. = 0.297945), norm. avg. (of 10) = 0.163376
  fft 30: mflops = 201.649 (norm. = 0.836538), norm. avg. (of 10) = 0.671089
  fft 31: mflops = 209.715 (norm. = 0.87), norm. avg. (of 10) = 0.56583
  fft 32: mflops = 63.9376 (norm. = 0.265244), norm. avg. (of 9) = 0.118834
  fft 33: mflops = 104.858 (norm. = 0.435), norm. avg. (of 9) = 0.342954
  fft 34: mflops = 153.077 (norm. = 0.635036), norm. avg. (of 10) = 0.309676
  fft 35: mflops = 155.345 (norm. = 0.644444), norm. avg. (of 10) = 0.312011
  fft 36: mflops = 182.361 (norm. = 0.756522), norm. avg. (of 10) = 0.406882
  fft 37: mflops = 73.8434 (norm. = 0.306338), norm. avg. (of 10) = 0.216378
  fft 38: mflops = 63.1672 (norm. = 0.262048), norm. avg. (of 10) = 0.142047
  fft 39: mflops = 59.9186 (norm. = 0.248571), norm. avg. (of 10) = 0.131684
  fft 40: mflops = 7.8019 (norm. = 0.0323661), norm. avg. (of 10) = 0.0381818
  fft 41: mflops = 231.73 (norm. = 0.961326), norm. avg. (of 10) = 0.73938
  fft 42: mflops = 241.052 (norm. = 1), norm. avg. (of 10) = 0.72632

Benchmarking for array size = 2048 (power of 2):
0. Arndt DIF: elapsed time t=1.19 s, 1024 iters, t-(init.)=1.17 s
    t(norm)=0.0507181, mflops=98.5841 (err=1.4e-15)
1. Arndt DIT: elapsed time t=1.16 s, 1024 iters, t-(init.)=1.14 s
    t(norm)=0.0494177, mflops=101.178 (err=1.4e-15)
2. Arndt Split-Radix: elapsed time t=1.44 s, 1024 iters, t-(init.)=1.42 s
    t(norm)=0.0615553, mflops=81.2277 (err=1.5e-15)
3. Arndt 4-step: elapsed time t=1.38 s, 512 iters, t-(init.)=1.37 s
    t(norm)=0.118776, mflops=42.0961 (err=1.4e-15)
4. Bailey: elapsed time t=1.65 s, 512 iters, t-(init.)=1.64 s
    t(norm)=0.142184, mflops=35.1657 (err=1.4e-15)
5. Beauregard: elapsed time t=1.03 s, 256 iters, t-(init.)=1.02 s
    t(norm)=0.176863, mflops=28.2704 (err=1.4e-15)
6. Bergland: elapsed time t=1.25 s, 1024 iters, t-(init.)=1.22 s
    t(norm)=0.0528856, mflops=94.5437 (err=1.5e-15)
7. Brenner: elapsed time t=1.86 s, 1024 iters, t-(init.)=1.84 s
    t(norm)=0.0797619, mflops=62.6866 (err=1.4e-15)
8. Burrus: elapsed time t=1.85 s, 1024 iters, t-(init.)=1.82 s
    t(norm)=0.0788949, mflops=63.3755 (err=1.4e-15)
9. CWP (min N) (N=2145): elapsed time t=1.35 s, 2048 iters, t-(init.)=1.29 s
    t(norm)=0.02796, mflops=178.827
10. CWP (best N) (N=2184): elapsed time t=1.25 s, 2048 iters, t-(init.)=1.19 s
    t(norm)=0.0257926, mflops=193.854
11. Edelblute: elapsed time t=1.73 s, 1024 iters, t-(init.)=1.71 s
    t(norm)=0.0741265, mflops=67.4523 (err=1.4e-15)
12. FFTPACK: elapsed time t=1.75 s, 1024 iters, t-(init.)=1.73 s
    t(norm)=0.0749935, mflops=66.6725 (err=1.4e-15)
13. FFTPACK (f2c): elapsed time t=1.02 s, 256 iters, t-(init.)=1.02 s
    t(norm)=0.176863, mflops=28.2704 (err=1.4e-15)

FFTW_MEASURE plan: (cost = 6.835937e-04)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 16

14. FFTW: elapsed time t=1.47 s, 2048 iters, t-(init.)=1.42 s
    t(norm)=0.0307777, mflops=162.455 (err=1.4e-15)

FFTW_ESTIMATE plan: (cost = 1.269760e+04)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.56 s, 2048 iters, t-(init.)=1.51 s
    t(norm)=0.0327284, mflops=152.773 (err=1.4e-15)
16. Frigo-old: elapsed time t=1.15 s, 1024 iters, t-(init.)=1.13 s
    t(norm)=0.0489842, mflops=102.074 (err=1.4e-15)
17. Green: elapsed time t=1.37 s, 2048 iters, t-(init.)=1.32 s
    t(norm)=0.0286102, mflops=174.763 (err=1.4e-15)
18. GSL: elapsed time t=1.96 s, 1024 iters, t-(init.)=1.94 s
    t(norm)=0.0840967, mflops=59.4553 (err=1.4e-15)
19. GSL DIT: elapsed time t=1.73 s, 1024 iters, t-(init.)=1.71 s
    t(norm)=0.0741265, mflops=67.4523 (err=2.0e-15)
20. GSL DIF: elapsed time t=1.76 s, 1024 iters, t-(init.)=1.74 s
    t(norm)=0.075427, mflops=66.2893 (err=2.3e-15)
21. Krukar: elapsed time t=1.45 s, 1024 iters, t-(init.)=1.43 s
    t(norm)=0.0619888, mflops=80.6597 (err=1.4e-15)
22. Mayer (Buneman): elapsed time t=1.29 s, 1024 iters, t-(init.)=1.27 s
    t(norm)=0.055053, mflops=90.8215 (err=1.4e-15)
23. Mayer (simple): elapsed time t=1.01 s, 1024 iters, t-(init.)=0.99 s
    t(norm)=0.0429153, mflops=116.508
24. Mayer (lookup): elapsed time t=1.06 s, 1024 iters, t-(init.)=1.04 s
    t(norm)=0.0450828, mflops=110.907 (err=1.4e-15)
25. Monro: elapsed time t=1.15 s, 512 iters, t-(init.)=1.14 s
    t(norm)=0.0988353, mflops=50.5892 (err=1.1e-07)
26. NAPACK (f2c): elapsed time t=1.81 s, 512 iters, t-(init.)=1.8 s
    t(norm)=0.156056, mflops=32.0398 (err=1.5e-14)
27. Nielsen: elapsed time t=1.43 s, 512 iters, t-(init.)=1.42 s
    t(norm)=0.123111, mflops=40.6139 (err=1.2e-14)
28. NR (C): elapsed time t=1.62 s, 1024 iters, t-(init.)=1.6 s
    t(norm)=0.0693581, mflops=72.0896 (err=1.5e-15)
29. NR (F): elapsed time t=1.58 s, 1024 iters, t-(init.)=1.56 s
    t(norm)=0.0676242, mflops=73.9381 (err=1.5e-15)
30. Ooura (C): elapsed time t=1.44 s, 2048 iters, t-(init.)=1.39 s
    t(norm)=0.0301274, mflops=165.962 (err=1.4e-15)
31. Ooura (F): elapsed time t=1.38 s, 2048 iters, t-(init.)=1.34 s
    t(norm)=0.0290437, mflops=172.154 (err=1.4e-15)
32. Ransom: elapsed time t=1.94 s, 1024 iters, t-(init.)=1.92 s
    t(norm)=0.0832298, mflops=60.0747 (err=2.0e-15)
33. SCIPORT: elapsed time t=1.32 s, 512 iters, t-(init.)=1.31 s
    t(norm)=0.113574, mflops=44.0242 (err=1.4e-15)
34. Singleton: elapsed time t=1.74 s, 2048 iters, t-(init.)=1.69 s
    t(norm)=0.0366298, mflops=136.501 (err=1.9e-15)
35. Singleton (f2c): elapsed time t=1.78 s, 2048 iters, t-(init.)=1.74 s
    t(norm)=0.0377135, mflops=132.579 (err=1.9e-15)
36. Sorensen: elapsed time t=1.14 s, 1024 iters, t-(init.)=1.12 s
    t(norm)=0.0485507, mflops=102.985 (err=1.4e-15)
37. Sorensen DIT: elapsed time t=1.03 s, 512 iters, t-(init.)=1.02 s
    t(norm)=0.0884316, mflops=56.5409 (err=1.4e-15)
38. Temperton: elapsed time t=1.1 s, 512 iters, t-(init.)=1.08 s
    t(norm)=0.0936335, mflops=53.3997 (err=1.1e-07)
39. Temperton (f2c): elapsed time t=1.11 s, 512 iters, t-(init.)=1.1 s
    t(norm)=0.0953674, mflops=52.4288 (err=1.4e-15)
40. Valkenburg: elapsed time t=1.47 s, 64 iters, t-(init.)=1.47 s
    t(norm)=1.01956, mflops=4.90405 (err=1.7e-15)
41. SCSL: elapsed time t=1.74 s, 2048 iters, t-(init.)=1.69 s
    t(norm)=0.0366298, mflops=136.501 (err=1.4e-15)
42. SGIMATH: elapsed time t=1.74 s, 2048 iters, t-(init.)=1.7 s
    t(norm)=0.0368465, mflops=135.698 (err=1.4e-15)

Top mflops for N=2048 = 193.854
Normalized results and averages for N=2048:
  fft 0: mflops = 98.5841 (norm. = 0.508547), norm. avg. (of 11) = 0.437391
  fft 1: mflops = 101.178 (norm. = 0.52193), norm. avg. (of 11) = 0.433507
  fft 2: mflops = 81.2277 (norm. = 0.419014), norm. avg. (of 11) = 0.304482
  fft 3: mflops = 42.0961 (norm. = 0.217153), norm. avg. (of 11) = 0.0961687
  fft 4: mflops = 35.1657 (norm. = 0.181402), norm. avg. (of 11) = 0.26481
  fft 5: mflops = 28.2704 (norm. = 0.145833), norm. avg. (of 11) = 0.10908
  fft 6: mflops = 94.5437 (norm. = 0.487705), norm. avg. (of 11) = 0.226147
  fft 7: mflops = 62.6866 (norm. = 0.32337), norm. avg. (of 11) = 0.170744
  fft 8: mflops = 63.3755 (norm. = 0.326923), norm. avg. (of 11) = 0.228199
  fft 9: mflops = 178.827 (norm. = 0.922481), norm. avg. (of 11) = 0.427802
  fft 10: mflops = 193.854 (norm. = 1), norm. avg. (of 11) = 0.440876
  fft 11: mflops = 67.4523 (norm. = 0.347953), norm. avg. (of 10) = 0.245914
  fft 12: mflops = 66.6725 (norm. = 0.343931), norm. avg. (of 11) = 0.423723
  fft 13: mflops = 28.2704 (norm. = 0.145833), norm. avg. (of 11) = 0.122206
  fft 14: mflops = 162.455 (norm. = 0.838028), norm. avg. (of 11) = 0.723652
  fft 15: mflops = 152.773 (norm. = 0.788079), norm. avg. (of 11) = 0.67922
  fft 16: mflops = 102.074 (norm. = 0.526549), norm. avg. (of 11) = 0.792764
  fft 17: mflops = 174.763 (norm. = 0.901515), norm. avg. (of 9) = 0.611883
  fft 18: mflops = 59.4553 (norm. = 0.306701), norm. avg. (of 11) = 0.310967
  fft 19: mflops = 67.4523 (norm. = 0.347953), norm. avg. (of 11) = 0.202162
  fft 20: mflops = 66.2893 (norm. = 0.341954), norm. avg. (of 11) = 0.20451
  fft 21: mflops = 80.6597 (norm. = 0.416084), norm. avg. (of 11) = 0.594114
  fft 22: mflops = 90.8215 (norm. = 0.468504), norm. avg. (of 10) = 0.29025
  fft 23: mflops = 116.508 (norm. = 0.60101), norm. avg. (of 10) = 0.356719
  fft 24: mflops = 110.907 (norm. = 0.572115), norm. avg. (of 10) = 0.342346
  fft 25: mflops = 50.5892 (norm. = 0.260965), norm. avg. (of 10) = 0.131153
  fft 26: mflops = 32.0398 (norm. = 0.165278), norm. avg. (of 11) = 0.137012
  fft 27: mflops = 40.6139 (norm. = 0.209507), norm. avg. (of 11) = 0.120236
  fft 28: mflops = 72.0896 (norm. = 0.371875), norm. avg. (of 11) = 0.206494
  fft 29: mflops = 73.9381 (norm. = 0.38141), norm. avg. (of 11) = 0.183197
  fft 30: mflops = 165.962 (norm. = 0.856115), norm. avg. (of 11) = 0.687909
  fft 31: mflops = 172.154 (norm. = 0.88806), norm. avg. (of 11) = 0.595124
  fft 32: mflops = 60.0747 (norm. = 0.309896), norm. avg. (of 10) = 0.137941
  fft 33: mflops = 44.0242 (norm. = 0.227099), norm. avg. (of 10) = 0.331368
  fft 34: mflops = 136.501 (norm. = 0.704142), norm. avg. (of 11) = 0.345537
  fft 35: mflops = 132.579 (norm. = 0.683908), norm. avg. (of 11) = 0.345819
  fft 36: mflops = 102.985 (norm. = 0.53125), norm. avg. (of 11) = 0.418188
  fft 37: mflops = 56.5409 (norm. = 0.291667), norm. avg. (of 11) = 0.223223
  fft 38: mflops = 53.3997 (norm. = 0.275463), norm. avg. (of 11) = 0.154176
  fft 39: mflops = 52.4288 (norm. = 0.270455), norm. avg. (of 11) = 0.144299
  fft 40: mflops = 4.90405 (norm. = 0.0252976), norm. avg. (of 11) = 0.0370105
  fft 41: mflops = 136.501 (norm. = 0.704142), norm. avg. (of 11) = 0.736177
  fft 42: mflops = 135.698 (norm. = 0.7), norm. avg. (of 11) = 0.723927

Benchmarking for array size = 4096 (power of 2):
0. Arndt DIF: elapsed time t=1.33 s, 256 iters, t-(init.)=1.3 s
    t(norm)=0.103315, mflops=48.3958 (err=3.7e-15)
1. Arndt DIT: elapsed time t=1.29 s, 256 iters, t-(init.)=1.26 s
    t(norm)=0.100136, mflops=49.9322 (err=3.7e-15)
2. Arndt Split-Radix: elapsed time t=1.46 s, 256 iters, t-(init.)=1.42 s
    t(norm)=0.112851, mflops=44.306 (err=3.7e-15)
3. Arndt 4-step: elapsed time t=1.51 s, 256 iters, t-(init.)=1.47 s
    t(norm)=0.116825, mflops=42.799 (err=3.7e-15)
4. Bailey: elapsed time t=1.49 s, 128 iters, t-(init.)=1.48 s
    t(norm)=0.23524, mflops=21.2549 (err=3.7e-15)
5. Beauregard: elapsed time t=1.29 s, 128 iters, t-(init.)=1.28 s
    t(norm)=0.203451, mflops=24.576 (err=3.8e-15)
6. Bergland: elapsed time t=1.96 s, 512 iters, t-(init.)=1.9 s
    t(norm)=0.0754992, mflops=66.2259 (err=3.9e-15)
7. Brenner: elapsed time t=1.4 s, 256 iters, t-(init.)=1.37 s
    t(norm)=0.108878, mflops=45.923 (err=3.8e-15)
8. Burrus: elapsed time t=1.7 s, 256 iters, t-(init.)=1.67 s
    t(norm)=0.13272, mflops=37.6734 (err=3.7e-15)
9. CWP (min N) (N=4290): elapsed time t=1.77 s, 1024 iters, t-(init.)=1.63 s
    t(norm)=0.0323852, mflops=154.392
10. CWP (best N) (N=4368): elapsed time t=1.64 s, 1024 iters, t-(init.)=1.5 s
    t(norm)=0.0298023, mflops=167.772
11. Edelblute: elapsed time t=1.61 s, 256 iters, t-(init.)=1.58 s
    t(norm)=0.125567, mflops=39.8193 (err=3.7e-15)
12. FFTPACK: elapsed time t=1.24 s, 256 iters, t-(init.)=1.21 s
    t(norm)=0.0961622, mflops=51.9955 (err=3.8e-15)
13. FFTPACK (f2c): elapsed time t=1.01 s, 128 iters, t-(init.)=0.99 s
    t(norm)=0.157356, mflops=31.775 (err=3.8e-15)

FFTW_MEASURE plan: (cost = 2.109375e-03)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 16

14. FFTW: elapsed time t=1.09 s, 512 iters, t-(init.)=1.03 s
    t(norm)=0.0409285, mflops=122.164 (err=3.8e-15)

FFTW_ESTIMATE plan: (cost = 2.539520e+04)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.06 s, 512 iters, t-(init.)=0.99 s
    t(norm)=0.0393391, mflops=127.1 (err=3.8e-15)
16. Frigo-old: elapsed time t=1.58 s, 512 iters, t-(init.)=1.51 s
    t(norm)=0.060002, mflops=83.3305 (err=3.8e-15)
17. Green: elapsed time t=1.25 s, 512 iters, t-(init.)=1.18 s
    t(norm)=0.046889, mflops=106.635 (err=3.8e-15)
18. GSL: elapsed time t=1.38 s, 256 iters, t-(init.)=1.34 s
    t(norm)=0.106494, mflops=46.9512 (err=3.8e-15)
19. GSL DIT: elapsed time t=1.67 s, 256 iters, t-(init.)=1.64 s
    t(norm)=0.130335, mflops=38.3625 (err=4.1e-15)
20. GSL DIF: elapsed time t=1.71 s, 256 iters, t-(init.)=1.68 s
    t(norm)=0.133514, mflops=37.4491 (err=4.3e-15)
21. Krukar: elapsed time t=1.09 s, 256 iters, t-(init.)=1.06 s
    t(norm)=0.0842412, mflops=59.3534 (err=3.8e-15)
22. Mayer (Buneman): elapsed time t=1.5 s, 512 iters, t-(init.)=1.43 s
    t(norm)=0.0568231, mflops=87.9924 (err=3.7e-15)
23. Mayer (simple): elapsed time t=1.21 s, 512 iters, t-(init.)=1.15 s
    t(norm)=0.0456969, mflops=109.417
24. Mayer (lookup): elapsed time t=1.33 s, 512 iters, t-(init.)=1.26 s
    t(norm)=0.0500679, mflops=99.8644 (err=3.7e-15)
25. Monro: elapsed time t=1.9 s, 256 iters, t-(init.)=1.87 s
    t(norm)=0.148614, mflops=33.6441 (err=1.1e-07)
26. NAPACK (f2c): elapsed time t=1.95 s, 256 iters, t-(init.)=1.92 s
    t(norm)=0.152588, mflops=32.768 (err=4.9e-14)
27. Nielsen: elapsed time t=1.72 s, 256 iters, t-(init.)=1.69 s
    t(norm)=0.134309, mflops=37.2276 (err=2.6e-14)
28. NR (C): elapsed time t=1.67 s, 256 iters, t-(init.)=1.64 s
    t(norm)=0.130335, mflops=38.3625 (err=3.9e-15)
29. NR (F): elapsed time t=1.55 s, 256 iters, t-(init.)=1.52 s
    t(norm)=0.120799, mflops=41.3912 (err=3.9e-15)
30. Ooura (C): elapsed time t=1.35 s, 512 iters, t-(init.)=1.28 s
    t(norm)=0.0508626, mflops=98.304 (err=3.9e-15)
31. Ooura (F): elapsed time t=1.39 s, 512 iters, t-(init.)=1.32 s
    t(norm)=0.0524521, mflops=95.3251 (err=3.9e-15)
32. Ransom: elapsed time t=1.03 s, 256 iters, t-(init.)=1 s
    t(norm)=0.0794729, mflops=62.9146 (err=4.3e-15)
33. SCIPORT: elapsed time t=1.52 s, 256 iters, t-(init.)=1.48 s
    t(norm)=0.11762, mflops=42.5098 (err=3.8e-15)
34. Singleton: elapsed time t=1.88 s, 512 iters, t-(init.)=1.81 s
    t(norm)=0.0719229, mflops=69.5189 (err=5.8e-15)
35. Singleton (f2c): elapsed time t=1.85 s, 512 iters, t-(init.)=1.78 s
    t(norm)=0.0707308, mflops=70.6905 (err=5.8e-15)
36. Sorensen: elapsed time t=1.05 s, 256 iters, t-(init.)=1.01 s
    t(norm)=0.0802676, mflops=62.2916 (err=3.7e-15)
37. Sorensen DIT: elapsed time t=1.86 s, 256 iters, t-(init.)=1.83 s
    t(norm)=0.145435, mflops=34.3795 (err=3.7e-15)
38. Temperton: elapsed time t=1.63 s, 256 iters, t-(init.)=1.59 s
    t(norm)=0.126362, mflops=39.5689 (err=1.2e-07)
39. Temperton (f2c): elapsed time t=1.61 s, 256 iters, t-(init.)=1.58 s
    t(norm)=0.125567, mflops=39.8193 (err=3.8e-15)
40. Valkenburg: elapsed time t=1.34 s, 32 iters, t-(init.)=1.34 s
    t(norm)=0.851949, mflops=5.8689 (err=4.0e-15)
41. SCSL: elapsed time t=1.93 s, 1024 iters, t-(init.)=1.79 s
    t(norm)=0.0355641, mflops=140.591 (err=3.8e-15)
42. SGIMATH: elapsed time t=1.93 s, 1024 iters, t-(init.)=1.8 s
    t(norm)=0.0357628, mflops=139.81 (err=3.8e-15)

Top mflops for N=4096 = 167.772
Normalized results and averages for N=4096:
  fft 0: mflops = 48.3958 (norm. = 0.288462), norm. avg. (of 12) = 0.424981
  fft 1: mflops = 49.9322 (norm. = 0.297619), norm. avg. (of 12) = 0.422183
  fft 2: mflops = 44.306 (norm. = 0.264085), norm. avg. (of 12) = 0.301116
  fft 3: mflops = 42.799 (norm. = 0.255102), norm. avg. (of 12) = 0.109413
  fft 4: mflops = 21.2549 (norm. = 0.126689), norm. avg. (of 12) = 0.2533
  fft 5: mflops = 24.576 (norm. = 0.146484), norm. avg. (of 12) = 0.112197
  fft 6: mflops = 66.2259 (norm. = 0.394737), norm. avg. (of 12) = 0.240196
  fft 7: mflops = 45.923 (norm. = 0.273723), norm. avg. (of 12) = 0.179326
  fft 8: mflops = 37.6734 (norm. = 0.224551), norm. avg. (of 12) = 0.227895
  fft 9: mflops = 154.392 (norm. = 0.920245), norm. avg. (of 12) = 0.468839
  fft 10: mflops = 167.772 (norm. = 1), norm. avg. (of 12) = 0.48747
  fft 11: mflops = 39.8193 (norm. = 0.237342), norm. avg. (of 11) = 0.245135
  fft 12: mflops = 51.9955 (norm. = 0.309917), norm. avg. (of 12) = 0.414239
  fft 13: mflops = 31.775 (norm. = 0.189394), norm. avg. (of 12) = 0.127805
  fft 14: mflops = 122.164 (norm. = 0.728155), norm. avg. (of 12) = 0.724027
  fft 15: mflops = 127.1 (norm. = 0.757576), norm. avg. (of 12) = 0.68575
  fft 16: mflops = 83.3305 (norm. = 0.496689), norm. avg. (of 12) = 0.768091
  fft 17: mflops = 106.635 (norm. = 0.635593), norm. avg. (of 10) = 0.614254
  fft 18: mflops = 46.9512 (norm. = 0.279851), norm. avg. (of 12) = 0.308374
  fft 19: mflops = 38.3625 (norm. = 0.228659), norm. avg. (of 12) = 0.204371
  fft 20: mflops = 37.4491 (norm. = 0.223214), norm. avg. (of 12) = 0.206069
  fft 21: mflops = 59.3534 (norm. = 0.353774), norm. avg. (of 12) = 0.574086
  fft 22: mflops = 87.9924 (norm. = 0.524476), norm. avg. (of 11) = 0.311544
  fft 23: mflops = 109.417 (norm. = 0.652174), norm. avg. (of 11) = 0.383579
  fft 24: mflops = 99.8644 (norm. = 0.595238), norm. avg. (of 11) = 0.365336
  fft 25: mflops = 33.6441 (norm. = 0.200535), norm. avg. (of 11) = 0.137461
  fft 26: mflops = 32.768 (norm. = 0.195313), norm. avg. (of 12) = 0.14187
  fft 27: mflops = 37.2276 (norm. = 0.221893), norm. avg. (of 12) = 0.128708
  fft 28: mflops = 38.3625 (norm. = 0.228659), norm. avg. (of 12) = 0.208341
  fft 29: mflops = 41.3912 (norm. = 0.246711), norm. avg. (of 12) = 0.18849
  fft 30: mflops = 98.304 (norm. = 0.585938), norm. avg. (of 12) = 0.679412
  fft 31: mflops = 95.3251 (norm. = 0.568182), norm. avg. (of 12) = 0.592879
  fft 32: mflops = 62.9146 (norm. = 0.375), norm. avg. (of 11) = 0.159491
  fft 33: mflops = 42.5098 (norm. = 0.253378), norm. avg. (of 11) = 0.324278
  fft 34: mflops = 69.5189 (norm. = 0.414365), norm. avg. (of 12) = 0.351272
  fft 35: mflops = 70.6905 (norm. = 0.421348), norm. avg. (of 12) = 0.352114
  fft 36: mflops = 62.2916 (norm. = 0.371287), norm. avg. (of 12) = 0.41428
  fft 37: mflops = 34.3795 (norm. = 0.204918), norm. avg. (of 12) = 0.221697
  fft 38: mflops = 39.5689 (norm. = 0.235849), norm. avg. (of 12) = 0.160982
  fft 39: mflops = 39.8193 (norm. = 0.237342), norm. avg. (of 12) = 0.152053
  fft 40: mflops = 5.8689 (norm. = 0.0349813), norm. avg. (of 12) = 0.0368414
  fft 41: mflops = 140.591 (norm. = 0.837989), norm. avg. (of 12) = 0.744661
  fft 42: mflops = 139.81 (norm. = 0.833333), norm. avg. (of 12) = 0.733044

Benchmarking for array size = 8192 (power of 2):
0. Arndt DIF: elapsed time t=1.42 s, 128 iters, t-(init.)=1.39 s
    t(norm)=0.10197, mflops=49.0341 (err=3.7e-15)
1. Arndt DIT: elapsed time t=1.39 s, 128 iters, t-(init.)=1.36 s
    t(norm)=0.099769, mflops=50.1158 (err=3.7e-15)
2. Arndt Split-Radix: elapsed time t=1.79 s, 128 iters, t-(init.)=1.76 s
    t(norm)=0.129113, mflops=38.7258 (err=3.7e-15)
3. Arndt 4-step: elapsed time t=1.73 s, 128 iters, t-(init.)=1.7 s
    t(norm)=0.124711, mflops=40.0926 (err=3.7e-15)
4. Bailey: elapsed time t=1.63 s, 64 iters, t-(init.)=1.62 s
    t(norm)=0.237685, mflops=21.0362 (err=3.7e-15)
5. Beauregard: elapsed time t=1.41 s, 64 iters, t-(init.)=1.4 s
    t(norm)=0.205407, mflops=24.3419 (err=3.7e-15)
6. Bergland: elapsed time t=1.14 s, 128 iters, t-(init.)=1.11 s
    t(norm)=0.0814291, mflops=61.4031 (err=3.7e-15)
7. Brenner: elapsed time t=1.54 s, 128 iters, t-(init.)=1.51 s
    t(norm)=0.110773, mflops=45.1374 (err=3.7e-15)
8. Burrus: elapsed time t=1.01 s, 64 iters, t-(init.)=0.99 s
    t(norm)=0.145252, mflops=34.4229 (err=3.7e-15)
9. CWP (min N) (N=8580): elapsed time t=1.9 s, 512 iters, t-(init.)=1.76 s
    t(norm)=0.0322782, mflops=154.903
10. CWP (best N) (N=9240): elapsed time t=1.78 s, 512 iters, t-(init.)=1.63 s
    t(norm)=0.029894, mflops=167.258
11. Edelblute: elapsed time t=1.89 s, 128 iters, t-(init.)=1.86 s
    t(norm)=0.136449, mflops=36.6438 (err=3.7e-15)
12. FFTPACK: elapsed time t=1.57 s, 128 iters, t-(init.)=1.54 s
    t(norm)=0.112974, mflops=44.2581 (err=3.7e-15)
13. FFTPACK (f2c): elapsed time t=1.4 s, 64 iters, t-(init.)=1.39 s
    t(norm)=0.20394, mflops=24.5171 (err=3.7e-15)

FFTW_MEASURE plan: (cost = 4.531250e-03)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

14. FFTW: elapsed time t=1.22 s, 256 iters, t-(init.)=1.15 s
    t(norm)=0.0421817, mflops=118.535 (err=3.7e-15)

FFTW_ESTIMATE plan: (cost = 5.079040e+04)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.22 s, 256 iters, t-(init.)=1.15 s
    t(norm)=0.0421817, mflops=118.535 (err=3.7e-15)
16. Frigo-old: elapsed time t=1.66 s, 256 iters, t-(init.)=1.6 s
    t(norm)=0.0586877, mflops=85.1968 (err=3.7e-15)
17. Green: elapsed time t=1.5 s, 256 iters, t-(init.)=1.43 s
    t(norm)=0.0524521, mflops=95.3251 (err=3.7e-15)
18. GSL: elapsed time t=1.69 s, 128 iters, t-(init.)=1.66 s
    t(norm)=0.121777, mflops=41.0587 (err=3.7e-15)
19. GSL DIT: elapsed time t=1.91 s, 128 iters, t-(init.)=1.88 s
    t(norm)=0.137916, mflops=36.254 (err=4.3e-15)
20. GSL DIF: elapsed time t=1.92 s, 128 iters, t-(init.)=1.89 s
    t(norm)=0.13865, mflops=36.0621 (err=4.3e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.27 s, 128 iters, t-(init.)=1.24 s
    t(norm)=0.0909659, mflops=54.9657 (err=3.7e-15)
23. Mayer (simple): elapsed time t=1.14 s, 128 iters, t-(init.)=1.11 s
    t(norm)=0.0814291, mflops=61.4031
24. Mayer (lookup): elapsed time t=1.23 s, 128 iters, t-(init.)=1.2 s
    t(norm)=0.0880315, mflops=56.7979 (err=3.7e-15)
25. Monro: elapsed time t=1.04 s, 64 iters, t-(init.)=1.02 s
    t(norm)=0.149654, mflops=33.4105 (err=1.3e-07)
26. NAPACK (f2c): elapsed time t=1.2 s, 64 iters, t-(init.)=1.18 s
    t(norm)=0.173129, mflops=28.8803 (err=4.5e-14)
27. Nielsen: elapsed time t=1.1 s, 64 iters, t-(init.)=1.08 s
    t(norm)=0.158457, mflops=31.5544 (err=1.1e-14)
28. NR (C): elapsed time t=1.87 s, 128 iters, t-(init.)=1.83 s
    t(norm)=0.134248, mflops=37.2445 (err=3.8e-15)
29. NR (F): elapsed time t=1.77 s, 128 iters, t-(init.)=1.74 s
    t(norm)=0.127646, mflops=39.1709 (err=3.8e-15)
30. Ooura (C): elapsed time t=1.5 s, 256 iters, t-(init.)=1.44 s
    t(norm)=0.0528189, mflops=94.6631 (err=3.7e-15)
31. Ooura (F): elapsed time t=1.53 s, 256 iters, t-(init.)=1.47 s
    t(norm)=0.0539193, mflops=92.7312 (err=3.7e-15)
32. Ransom: elapsed time t=1.19 s, 128 iters, t-(init.)=1.16 s
    t(norm)=0.0850971, mflops=58.7564 (err=4.8e-15)
33. SCIPORT: elapsed time t=1.71 s, 128 iters, t-(init.)=1.67 s
    t(norm)=0.12251, mflops=40.8128 (err=3.7e-15)
34. Singleton: elapsed time t=1.09 s, 128 iters, t-(init.)=1.06 s
    t(norm)=0.0777611, mflops=64.2995 (err=5.6e-15)
35. Singleton (f2c): elapsed time t=1.09 s, 128 iters, t-(init.)=1.06 s
    t(norm)=0.0777611, mflops=64.2995 (err=5.6e-15)
36. Sorensen: elapsed time t=1.33 s, 128 iters, t-(init.)=1.29 s
    t(norm)=0.0946338, mflops=52.8352 (err=3.7e-15)
37. Sorensen DIT: elapsed time t=1.11 s, 64 iters, t-(init.)=1.1 s
    t(norm)=0.161391, mflops=30.9807 (err=3.7e-15)
38. Temperton: elapsed time t=1.92 s, 128 iters, t-(init.)=1.89 s
    t(norm)=0.13865, mflops=36.0621 (err=1.4e-07)
39. Temperton (f2c): elapsed time t=1.94 s, 128 iters, t-(init.)=1.91 s
    t(norm)=0.140117, mflops=35.6845 (err=3.7e-15)
40. Valkenburg: elapsed time t=1.41 s, 16 iters, t-(init.)=1.4 s
    t(norm)=0.821627, mflops=6.08549 (err=3.8e-15)
41. SCSL: elapsed time t=1.93 s, 512 iters, t-(init.)=1.8 s
    t(norm)=0.0330118, mflops=151.461 (err=3.7e-15)
42. SGIMATH: elapsed time t=1.89 s, 512 iters, t-(init.)=1.75 s
    t(norm)=0.0320948, mflops=155.788 (err=3.7e-15)

Top mflops for N=8192 = 167.258
Normalized results and averages for N=8192:
  fft 0: mflops = 49.0341 (norm. = 0.293165), norm. avg. (of 13) = 0.414841
  fft 1: mflops = 50.1158 (norm. = 0.299632), norm. avg. (of 13) = 0.412756
  fft 2: mflops = 38.7258 (norm. = 0.231534), norm. avg. (of 13) = 0.295763
  fft 3: mflops = 40.0926 (norm. = 0.239706), norm. avg. (of 13) = 0.119436
  fft 4: mflops = 21.0362 (norm. = 0.125772), norm. avg. (of 13) = 0.24349
  fft 5: mflops = 24.3419 (norm. = 0.145536), norm. avg. (of 13) = 0.114761
  fft 6: mflops = 61.4031 (norm. = 0.367117), norm. avg. (of 13) = 0.249959
  fft 7: mflops = 45.1374 (norm. = 0.269868), norm. avg. (of 13) = 0.186291
  fft 8: mflops = 34.4229 (norm. = 0.205808), norm. avg. (of 13) = 0.226196
  fft 9: mflops = 154.903 (norm. = 0.926136), norm. avg. (of 13) = 0.504016
  fft 10: mflops = 167.258 (norm. = 1), norm. avg. (of 13) = 0.526895
  fft 11: mflops = 36.6438 (norm. = 0.219086), norm. avg. (of 12) = 0.242964
  fft 12: mflops = 44.2581 (norm. = 0.26461), norm. avg. (of 13) = 0.402729
  fft 13: mflops = 24.5171 (norm. = 0.146583), norm. avg. (of 13) = 0.12925
  fft 14: mflops = 118.535 (norm. = 0.708696), norm. avg. (of 13) = 0.722848
  fft 15: mflops = 118.535 (norm. = 0.708696), norm. avg. (of 13) = 0.687515
  fft 16: mflops = 85.1968 (norm. = 0.509375), norm. avg. (of 13) = 0.74819
  fft 17: mflops = 95.3251 (norm. = 0.56993), norm. avg. (of 11) = 0.610225
  fft 18: mflops = 41.0587 (norm. = 0.245482), norm. avg. (of 13) = 0.303537
  fft 19: mflops = 36.254 (norm. = 0.216755), norm. avg. (of 13) = 0.205323
  fft 20: mflops = 36.0621 (norm. = 0.215608), norm. avg. (of 13) = 0.206803
  fft 21: mflops = -1 (norm. = -0.0059788), norm. avg. (of 12) = 0.574086
  fft 22: mflops = 54.9657 (norm. = 0.328629), norm. avg. (of 12) = 0.312967
  fft 23: mflops = 61.4031 (norm. = 0.367117), norm. avg. (of 12) = 0.382207
  fft 24: mflops = 56.7979 (norm. = 0.339583), norm. avg. (of 12) = 0.36319
  fft 25: mflops = 33.4105 (norm. = 0.199755), norm. avg. (of 12) = 0.142652
  fft 26: mflops = 28.8803 (norm. = 0.172669), norm. avg. (of 13) = 0.14424
  fft 27: mflops = 31.5544 (norm. = 0.188657), norm. avg. (of 13) = 0.133319
  fft 28: mflops = 37.2445 (norm. = 0.222678), norm. avg. (of 13) = 0.209444
  fft 29: mflops = 39.1709 (norm. = 0.234195), norm. avg. (of 13) = 0.192006
  fft 30: mflops = 94.6631 (norm. = 0.565972), norm. avg. (of 13) = 0.670686
  fft 31: mflops = 92.7312 (norm. = 0.554422), norm. avg. (of 13) = 0.58992
  fft 32: mflops = 58.7564 (norm. = 0.351293), norm. avg. (of 12) = 0.175475
  fft 33: mflops = 40.8128 (norm. = 0.244012), norm. avg. (of 12) = 0.317589
  fft 34: mflops = 64.2995 (norm. = 0.384434), norm. avg. (of 13) = 0.353823
  fft 35: mflops = 64.2995 (norm. = 0.384434), norm. avg. (of 13) = 0.3546
  fft 36: mflops = 52.8352 (norm. = 0.315891), norm. avg. (of 13) = 0.406711
  fft 37: mflops = 30.9807 (norm. = 0.185227), norm. avg. (of 13) = 0.218892
  fft 38: mflops = 36.0621 (norm. = 0.215608), norm. avg. (of 13) = 0.165184
  fft 39: mflops = 35.6845 (norm. = 0.213351), norm. avg. (of 13) = 0.156768
  fft 40: mflops = 6.08549 (norm. = 0.0363839), norm. avg. (of 13) = 0.0368062
  fft 41: mflops = 151.461 (norm. = 0.905556), norm. avg. (of 13) = 0.757038
  fft 42: mflops = 155.788 (norm. = 0.931429), norm. avg. (of 13) = 0.748304

Benchmarking for array size = 16384 (power of 2):
0. Arndt DIF: elapsed time t=1.68 s, 64 iters, t-(init.)=1.64 s
    t(norm)=0.111716, mflops=44.7563 (err=6.8e-15)
1. Arndt DIT: elapsed time t=1.62 s, 64 iters, t-(init.)=1.59 s
    t(norm)=0.10831, mflops=46.1637 (err=6.8e-15)
2. Arndt Split-Radix: elapsed time t=1 s, 32 iters, t-(init.)=0.98 s
    t(norm)=0.133514, mflops=37.4491 (err=6.8e-15)
3. Arndt 4-step: elapsed time t=1.56 s, 64 iters, t-(init.)=1.53 s
    t(norm)=0.104223, mflops=47.9741 (err=6.8e-15)
4. Bailey: elapsed time t=1.85 s, 32 iters, t-(init.)=1.84 s
    t(norm)=0.25068, mflops=19.9457 (err=6.8e-15)
5. Beauregard: elapsed time t=1.52 s, 32 iters, t-(init.)=1.5 s
    t(norm)=0.204359, mflops=24.4668 (err=6.8e-15)
6. Bergland: elapsed time t=1.22 s, 64 iters, t-(init.)=1.19 s
    t(norm)=0.0810623, mflops=61.6809 (err=6.8e-15)
7. Brenner: elapsed time t=1.68 s, 64 iters, t-(init.)=1.65 s
    t(norm)=0.112397, mflops=44.485 (err=6.8e-15)
8. Burrus: elapsed time t=1.13 s, 32 iters, t-(init.)=1.12 s
    t(norm)=0.152588, mflops=32.768 (err=6.8e-15)
9. CWP (min N) (N=17160): elapsed time t=1.92 s, 256 iters, t-(init.)=1.78 s
    t(norm)=0.0303132, mflops=164.945
10. CWP (best N) (N=17160): elapsed time t=1.92 s, 256 iters, t-(init.)=1.78 s
    t(norm)=0.0303132, mflops=164.945
11. Edelblute: elapsed time t=1.04 s, 32 iters, t-(init.)=1.02 s
    t(norm)=0.138964, mflops=35.9805 (err=6.8e-15)
12. FFTPACK: elapsed time t=1.62 s, 64 iters, t-(init.)=1.59 s
    t(norm)=0.10831, mflops=46.1637 (err=6.8e-15)
13. FFTPACK (f2c): elapsed time t=1.37 s, 32 iters, t-(init.)=1.36 s
    t(norm)=0.185285, mflops=26.9854 (err=6.8e-15)

FFTW_MEASURE plan: (cost = 1.031250e-02)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 16

14. FFTW: elapsed time t=1.36 s, 128 iters, t-(init.)=1.29 s
    t(norm)=0.0439371, mflops=113.799 (err=6.8e-15)

FFTW_ESTIMATE plan: (cost = 1.441792e+05)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.45 s, 128 iters, t-(init.)=1.38 s
    t(norm)=0.0470025, mflops=106.377 (err=6.8e-15)
16. Frigo-old: elapsed time t=1.98 s, 128 iters, t-(init.)=1.91 s
    t(norm)=0.0650542, mflops=76.859 (err=6.8e-15)
17. Green: elapsed time t=1.66 s, 128 iters, t-(init.)=1.59 s
    t(norm)=0.0541551, mflops=92.3274 (err=6.8e-15)
18. GSL: elapsed time t=1.75 s, 64 iters, t-(init.)=1.72 s
    t(norm)=0.117166, mflops=42.6746 (err=6.8e-15)
19. GSL DIT: elapsed time t=1.07 s, 32 iters, t-(init.)=1.05 s
    t(norm)=0.143051, mflops=34.9525 (err=7.2e-15)
20. GSL DIF: elapsed time t=1.08 s, 32 iters, t-(init.)=1.07 s
    t(norm)=0.145776, mflops=34.2992 (err=7.3e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.41 s, 64 iters, t-(init.)=1.37 s
    t(norm)=0.0933238, mflops=53.5769 (err=6.8e-15)
23. Mayer (simple): elapsed time t=1.32 s, 64 iters, t-(init.)=1.29 s
    t(norm)=0.0878743, mflops=56.8995
24. Mayer (lookup): elapsed time t=1.34 s, 64 iters, t-(init.)=1.3 s
    t(norm)=0.0885555, mflops=56.4618 (err=6.8e-15)
25. Monro: elapsed time t=1.16 s, 32 iters, t-(init.)=1.14 s
    t(norm)=0.155313, mflops=32.1931 (err=1.3e-07)
26. NAPACK (f2c): elapsed time t=1.27 s, 32 iters, t-(init.)=1.25 s
    t(norm)=0.170299, mflops=29.3601 (err=2.3e-13)
27. Nielsen: elapsed time t=1.12 s, 32 iters, t-(init.)=1.1 s
    t(norm)=0.149863, mflops=33.3638 (err=1.4e-13)
28. NR (C): elapsed time t=1.03 s, 32 iters, t-(init.)=1.02 s
    t(norm)=0.138964, mflops=35.9805 (err=7.0e-15)
29. NR (F): elapsed time t=1 s, 32 iters, t-(init.)=0.98 s
    t(norm)=0.133514, mflops=37.4491 (err=7.0e-15)
30. Ooura (C): elapsed time t=1.79 s, 128 iters, t-(init.)=1.73 s
    t(norm)=0.0589234, mflops=84.8559 (err=6.8e-15)
31. Ooura (F): elapsed time t=1.89 s, 128 iters, t-(init.)=1.82 s
    t(norm)=0.0619888, mflops=80.6597 (err=6.8e-15)
32. Ransom: elapsed time t=1.09 s, 64 iters, t-(init.)=1.06 s
    t(norm)=0.0722068, mflops=69.2456 (err=7.3e-15)
33. SCIPORT: elapsed time t=1.91 s, 64 iters, t-(init.)=1.88 s
    t(norm)=0.128065, mflops=39.0427 (err=6.8e-15)
34. Singleton: elapsed time t=1.23 s, 64 iters, t-(init.)=1.2 s
    t(norm)=0.0817435, mflops=61.1669 (err=1.0e-14)
35. Singleton (f2c): elapsed time t=1.19 s, 64 iters, t-(init.)=1.15 s
    t(norm)=0.0783375, mflops=63.8264 (err=1.0e-14)
36. Sorensen: elapsed time t=1.68 s, 64 iters, t-(init.)=1.64 s
    t(norm)=0.111716, mflops=44.7563 (err=6.8e-15)
37. Sorensen DIT: elapsed time t=1.23 s, 32 iters, t-(init.)=1.21 s
    t(norm)=0.164849, mflops=30.3307 (err=6.8e-15)
38. Temperton: elapsed time t=1.01 s, 32 iters, t-(init.)=0.99 s
    t(norm)=0.134877, mflops=37.0709 (err=1.5e-07)
39. Temperton (f2c): elapsed time t=1.02 s, 32 iters, t-(init.)=1 s
    t(norm)=0.136239, mflops=36.7002 (err=6.8e-15)
40. Valkenburg: elapsed time t=1.51 s, 8 iters, t-(init.)=1.51 s
    t(norm)=0.822885, mflops=6.07619 (err=6.9e-15)
41. SCSL: elapsed time t=1.03 s, 128 iters, t-(init.)=0.96 s
    t(norm)=0.0326974, mflops=152.917 (err=6.8e-15)
42. SGIMATH: elapsed time t=1.02 s, 128 iters, t-(init.)=0.95 s
    t(norm)=0.0323568, mflops=154.527 (err=6.8e-15)

Top mflops for N=16384 = 164.945
Normalized results and averages for N=16384:
  fft 0: mflops = 44.7563 (norm. = 0.271341), norm. avg. (of 14) = 0.404591
  fft 1: mflops = 46.1637 (norm. = 0.279874), norm. avg. (of 14) = 0.403264
  fft 2: mflops = 37.4491 (norm. = 0.227041), norm. avg. (of 14) = 0.290854
  fft 3: mflops = 47.9741 (norm. = 0.29085), norm. avg. (of 14) = 0.13168
  fft 4: mflops = 19.9457 (norm. = 0.120924), norm. avg. (of 14) = 0.234735
  fft 5: mflops = 24.4668 (norm. = 0.148333), norm. avg. (of 14) = 0.117159
  fft 6: mflops = 61.6809 (norm. = 0.37395), norm. avg. (of 14) = 0.258816
  fft 7: mflops = 44.485 (norm. = 0.269697), norm. avg. (of 14) = 0.192248
  fft 8: mflops = 32.768 (norm. = 0.198661), norm. avg. (of 14) = 0.224229
  fft 9: mflops = 164.945 (norm. = 1), norm. avg. (of 14) = 0.539443
  fft 10: mflops = 164.945 (norm. = 1), norm. avg. (of 14) = 0.560688
  fft 11: mflops = 35.9805 (norm. = 0.218137), norm. avg. (of 13) = 0.241054
  fft 12: mflops = 46.1637 (norm. = 0.279874), norm. avg. (of 14) = 0.393954
  fft 13: mflops = 26.9854 (norm. = 0.163603), norm. avg. (of 14) = 0.131703
  fft 14: mflops = 113.799 (norm. = 0.689922), norm. avg. (of 14) = 0.720496
  fft 15: mflops = 106.377 (norm. = 0.644928), norm. avg. (of 14) = 0.684473
  fft 16: mflops = 76.859 (norm. = 0.465969), norm. avg. (of 14) = 0.728031
  fft 17: mflops = 92.3274 (norm. = 0.559748), norm. avg. (of 12) = 0.606018
  fft 18: mflops = 42.6746 (norm. = 0.258721), norm. avg. (of 14) = 0.300335
  fft 19: mflops = 34.9525 (norm. = 0.211905), norm. avg. (of 14) = 0.205793
  fft 20: mflops = 34.2992 (norm. = 0.207944), norm. avg. (of 14) = 0.206884
  fft 21: mflops = -1 (norm. = -0.00606264), norm. avg. (of 12) = 0.574086
  fft 22: mflops = 53.5769 (norm. = 0.324818), norm. avg. (of 13) = 0.313879
  fft 23: mflops = 56.8995 (norm. = 0.344961), norm. avg. (of 13) = 0.379342
  fft 24: mflops = 56.4618 (norm. = 0.342308), norm. avg. (of 13) = 0.361584
  fft 25: mflops = 32.1931 (norm. = 0.195175), norm. avg. (of 13) = 0.146692
  fft 26: mflops = 29.3601 (norm. = 0.178), norm. avg. (of 14) = 0.146651
  fft 27: mflops = 33.3638 (norm. = 0.202273), norm. avg. (of 14) = 0.138245
  fft 28: mflops = 35.9805 (norm. = 0.218137), norm. avg. (of 14) = 0.210065
  fft 29: mflops = 37.4491 (norm. = 0.227041), norm. avg. (of 14) = 0.194508
  fft 30: mflops = 84.8559 (norm. = 0.514451), norm. avg. (of 14) = 0.659526
  fft 31: mflops = 80.6597 (norm. = 0.489011), norm. avg. (of 14) = 0.582712
  fft 32: mflops = 69.2456 (norm. = 0.419811), norm. avg. (of 13) = 0.19427
  fft 33: mflops = 39.0427 (norm. = 0.236702), norm. avg. (of 13) = 0.311367
  fft 34: mflops = 61.1669 (norm. = 0.370833), norm. avg. (of 14) = 0.355038
  fft 35: mflops = 63.8264 (norm. = 0.386957), norm. avg. (of 14) = 0.356911
  fft 36: mflops = 44.7563 (norm. = 0.271341), norm. avg. (of 14) = 0.397042
  fft 37: mflops = 30.3307 (norm. = 0.183884), norm. avg. (of 14) = 0.216391
  fft 38: mflops = 37.0709 (norm. = 0.224747), norm. avg. (of 14) = 0.169439
  fft 39: mflops = 36.7002 (norm. = 0.2225), norm. avg. (of 14) = 0.161463
  fft 40: mflops = 6.07619 (norm. = 0.0368377), norm. avg. (of 14) = 0.0368085
  fft 41: mflops = 152.917 (norm. = 0.927083), norm. avg. (of 14) = 0.769184
  fft 42: mflops = 154.527 (norm. = 0.936842), norm. avg. (of 14) = 0.761771

Benchmarking for array size = 32768 (power of 2):
0. Arndt DIF: elapsed time t=1.73 s, 32 iters, t-(init.)=1.69 s
    t(norm)=0.107447, mflops=46.5344 (err=1.4e-14)
1. Arndt DIT: elapsed time t=1.72 s, 32 iters, t-(init.)=1.68 s
    t(norm)=0.106812, mflops=46.8114 (err=1.4e-14)
2. Arndt Split-Radix: elapsed time t=1.12 s, 16 iters, t-(init.)=1.11 s
    t(norm)=0.141144, mflops=35.4249 (err=1.4e-14)
3. Arndt 4-step: elapsed time t=1.81 s, 32 iters, t-(init.)=1.78 s
    t(norm)=0.113169, mflops=44.1816 (err=1.4e-14)
4. Bailey: elapsed time t=1.96 s, 16 iters, t-(init.)=1.95 s
    t(norm)=0.247955, mflops=20.1649 (err=1.4e-14)
5. Beauregard: elapsed time t=1.64 s, 16 iters, t-(init.)=1.63 s
    t(norm)=0.207265, mflops=24.1237 (err=1.4e-14)
6. Bergland: elapsed time t=1.31 s, 32 iters, t-(init.)=1.28 s
    t(norm)=0.0813802, mflops=61.44 (err=1.4e-14)
7. Brenner: elapsed time t=1.82 s, 32 iters, t-(init.)=1.79 s
    t(norm)=0.113805, mflops=43.9347 (err=1.4e-14)
8. Burrus: elapsed time t=1.23 s, 16 iters, t-(init.)=1.21 s
    t(norm)=0.153859, mflops=32.4972 (err=1.4e-14)
9. CWP (min N) (N=34320): elapsed time t=1.04 s, 64 iters, t-(init.)=0.97 s
    t(norm)=0.0308355, mflops=162.151
10. CWP (best N) (N=34320): elapsed time t=1.03 s, 64 iters, t-(init.)=0.96 s
    t(norm)=0.0305176, mflops=163.84
11. Edelblute: elapsed time t=1.15 s, 16 iters, t-(init.)=1.13 s
    t(norm)=0.143687, mflops=34.7979 (err=1.4e-14)
12. FFTPACK: elapsed time t=1.78 s, 32 iters, t-(init.)=1.75 s
    t(norm)=0.111262, mflops=44.939 (err=1.4e-14)
13. FFTPACK (f2c): elapsed time t=1.55 s, 16 iters, t-(init.)=1.53 s
    t(norm)=0.19455, mflops=25.7004 (err=1.4e-14)

FFTW_MEASURE plan: (cost = 2.250000e-02)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 16

14. FFTW: elapsed time t=1.51 s, 64 iters, t-(init.)=1.45 s
    t(norm)=0.0460943, mflops=108.473 (err=1.4e-14)

FFTW_ESTIMATE plan: (cost = 2.883584e+05)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.51 s, 64 iters, t-(init.)=1.44 s
    t(norm)=0.0457764, mflops=109.227 (err=1.4e-14)
16. Frigo-old: elapsed time t=1.2 s, 32 iters, t-(init.)=1.16 s
    t(norm)=0.0737508, mflops=67.7959 (err=1.4e-14)
17. Green: elapsed time t=1.83 s, 64 iters, t-(init.)=1.77 s
    t(norm)=0.0562668, mflops=88.8624 (err=1.4e-14)
18. GSL: elapsed time t=1.93 s, 32 iters, t-(init.)=1.9 s
    t(norm)=0.120799, mflops=41.3912 (err=1.4e-14)
19. GSL DIT: elapsed time t=1.19 s, 16 iters, t-(init.)=1.17 s
    t(norm)=0.148773, mflops=33.6082 (err=1.4e-14)
20. GSL DIF: elapsed time t=1.17 s, 16 iters, t-(init.)=1.15 s
    t(norm)=0.14623, mflops=34.1927 (err=1.4e-14)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.59 s, 32 iters, t-(init.)=1.56 s
    t(norm)=0.0991821, mflops=50.4123 (err=1.4e-14)
23. Mayer (simple): elapsed time t=1.49 s, 32 iters, t-(init.)=1.46 s
    t(norm)=0.0928243, mflops=53.8652
24. Mayer (lookup): elapsed time t=1.52 s, 32 iters, t-(init.)=1.48 s
    t(norm)=0.0940959, mflops=53.1373 (err=1.4e-14)
25. Monro: elapsed time t=1.23 s, 16 iters, t-(init.)=1.22 s
    t(norm)=0.155131, mflops=32.2308 (err=1.5e-07)
26. NAPACK (f2c): elapsed time t=1.5 s, 16 iters, t-(init.)=1.48 s
    t(norm)=0.188192, mflops=26.5686 (err=5.6e-13)
27. Nielsen: elapsed time t=1.11 s, 16 iters, t-(init.)=1.09 s
    t(norm)=0.138601, mflops=36.0749 (err=2.3e-13)
28. NR (C): elapsed time t=1.13 s, 16 iters, t-(init.)=1.11 s
    t(norm)=0.141144, mflops=35.4249 (err=1.4e-14)
29. NR (F): elapsed time t=1.12 s, 16 iters, t-(init.)=1.11 s
    t(norm)=0.141144, mflops=35.4249 (err=1.4e-14)
30. Ooura (C): elapsed time t=1.91 s, 64 iters, t-(init.)=1.84 s
    t(norm)=0.058492, mflops=85.4817 (err=1.4e-14)
31. Ooura (F): elapsed time t=1.01 s, 32 iters, t-(init.)=0.97 s
    t(norm)=0.0616709, mflops=81.0755 (err=1.4e-14)
32. Ransom: elapsed time t=1.24 s, 32 iters, t-(init.)=1.21 s
    t(norm)=0.0769297, mflops=64.9944 (err=1.5e-14)
33. SCIPORT: elapsed time t=1.07 s, 16 iters, t-(init.)=1.05 s
    t(norm)=0.133514, mflops=37.4491 (err=1.4e-14)
34. Singleton: elapsed time t=1.45 s, 32 iters, t-(init.)=1.42 s
    t(norm)=0.0902812, mflops=55.3825 (err=2.1e-14)
35. Singleton (f2c): elapsed time t=1.44 s, 32 iters, t-(init.)=1.41 s
    t(norm)=0.0896454, mflops=55.7753 (err=2.1e-14)
36. Sorensen: elapsed time t=1.92 s, 32 iters, t-(init.)=1.89 s
    t(norm)=0.120163, mflops=41.6102 (err=1.4e-14)
37. Sorensen DIT: elapsed time t=1.37 s, 16 iters, t-(init.)=1.35 s
    t(norm)=0.171661, mflops=29.1271 (err=1.4e-14)
38. Temperton: elapsed time t=1.14 s, 16 iters, t-(init.)=1.12 s
    t(norm)=0.142415, mflops=35.1086 (err=1.5e-07)
39. Temperton (f2c): elapsed time t=1.12 s, 16 iters, t-(init.)=1.1 s
    t(norm)=0.139872, mflops=35.7469 (err=1.4e-14)
40. Valkenburg: elapsed time t=1.68 s, 4 iters, t-(init.)=1.67 s
    t(norm)=0.849406, mflops=5.88647 (err=1.4e-14)
41. SCSL: elapsed time t=1.04 s, 64 iters, t-(init.)=0.97 s
    t(norm)=0.0308355, mflops=162.151 (err=1.4e-14)
42. SGIMATH: elapsed time t=1.03 s, 64 iters, t-(init.)=0.96 s
    t(norm)=0.0305176, mflops=163.84 (err=1.4e-14)

Top mflops for N=32768 = 163.84
Normalized results and averages for N=32768:
  fft 0: mflops = 46.5344 (norm. = 0.284024), norm. avg. (of 15) = 0.396553
  fft 1: mflops = 46.8114 (norm. = 0.285714), norm. avg. (of 15) = 0.395428
  fft 2: mflops = 35.4249 (norm. = 0.216216), norm. avg. (of 15) = 0.285878
  fft 3: mflops = 44.1816 (norm. = 0.269663), norm. avg. (of 15) = 0.140878
  fft 4: mflops = 20.1649 (norm. = 0.123077), norm. avg. (of 15) = 0.227291
  fft 5: mflops = 24.1237 (norm. = 0.147239), norm. avg. (of 15) = 0.119164
  fft 6: mflops = 61.44 (norm. = 0.375), norm. avg. (of 15) = 0.266561
  fft 7: mflops = 43.9347 (norm. = 0.268156), norm. avg. (of 15) = 0.197309
  fft 8: mflops = 32.4972 (norm. = 0.198347), norm. avg. (of 15) = 0.222503
  fft 9: mflops = 162.151 (norm. = 0.989691), norm. avg. (of 15) = 0.56946
  fft 10: mflops = 163.84 (norm. = 1), norm. avg. (of 15) = 0.589976
  fft 11: mflops = 34.7979 (norm. = 0.212389), norm. avg. (of 14) = 0.239007
  fft 12: mflops = 44.939 (norm. = 0.274286), norm. avg. (of 15) = 0.385976
  fft 13: mflops = 25.7004 (norm. = 0.156863), norm. avg. (of 15) = 0.133381
  fft 14: mflops = 108.473 (norm. = 0.662069), norm. avg. (of 15) = 0.716601
  fft 15: mflops = 109.227 (norm. = 0.666667), norm. avg. (of 15) = 0.683286
  fft 16: mflops = 67.7959 (norm. = 0.413793), norm. avg. (of 15) = 0.707082
  fft 17: mflops = 88.8624 (norm. = 0.542373), norm. avg. (of 13) = 0.601123
  fft 18: mflops = 41.3912 (norm. = 0.252632), norm. avg. (of 15) = 0.297155
  fft 19: mflops = 33.6082 (norm. = 0.205128), norm. avg. (of 15) = 0.205749
  fft 20: mflops = 34.1927 (norm. = 0.208696), norm. avg. (of 15) = 0.207005
  fft 21: mflops = -1 (norm. = -0.00610352), norm. avg. (of 12) = 0.574086
  fft 22: mflops = 50.4123 (norm. = 0.307692), norm. avg. (of 14) = 0.313437
  fft 23: mflops = 53.8652 (norm. = 0.328767), norm. avg. (of 14) = 0.375729
  fft 24: mflops = 53.1373 (norm. = 0.324324), norm. avg. (of 14) = 0.358922
  fft 25: mflops = 32.2308 (norm. = 0.196721), norm. avg. (of 14) = 0.150266
  fft 26: mflops = 26.5686 (norm. = 0.162162), norm. avg. (of 15) = 0.147685
  fft 27: mflops = 36.0749 (norm. = 0.220183), norm. avg. (of 15) = 0.143707
  fft 28: mflops = 35.4249 (norm. = 0.216216), norm. avg. (of 15) = 0.210475
  fft 29: mflops = 35.4249 (norm. = 0.216216), norm. avg. (of 15) = 0.195956
  fft 30: mflops = 85.4817 (norm. = 0.521739), norm. avg. (of 15) = 0.65034
  fft 31: mflops = 81.0755 (norm. = 0.494845), norm. avg. (of 15) = 0.576855
  fft 32: mflops = 64.9944 (norm. = 0.396694), norm. avg. (of 14) = 0.208729
  fft 33: mflops = 37.4491 (norm. = 0.228571), norm. avg. (of 14) = 0.305453
  fft 34: mflops = 55.3825 (norm. = 0.338028), norm. avg. (of 15) = 0.353904
  fft 35: mflops = 55.7753 (norm. = 0.340426), norm. avg. (of 15) = 0.355812
  fft 36: mflops = 41.6102 (norm. = 0.253968), norm. avg. (of 15) = 0.387504
  fft 37: mflops = 29.1271 (norm. = 0.177778), norm. avg. (of 15) = 0.213817
  fft 38: mflops = 35.1086 (norm. = 0.214286), norm. avg. (of 15) = 0.172429
  fft 39: mflops = 35.7469 (norm. = 0.218182), norm. avg. (of 15) = 0.165244
  fft 40: mflops = 5.88647 (norm. = 0.0359281), norm. avg. (of 15) = 0.0367498
  fft 41: mflops = 162.151 (norm. = 0.989691), norm. avg. (of 15) = 0.783884
  fft 42: mflops = 163.84 (norm. = 1), norm. avg. (of 15) = 0.777653

Benchmarking for array size = 65536 (power of 2):
0. Arndt DIF: elapsed time t=1.02 s, 8 iters, t-(init.)=1.01 s
    t(norm)=0.120401, mflops=41.5278 (err=1.7e-14)
1. Arndt DIT: elapsed time t=1.96 s, 16 iters, t-(init.)=1.93 s
    t(norm)=0.115037, mflops=43.4643 (err=1.7e-14)
2. Arndt Split-Radix: elapsed time t=1.22 s, 8 iters, t-(init.)=1.2 s
    t(norm)=0.143051, mflops=34.9525 (err=1.7e-14)
3. Arndt 4-step: elapsed time t=1.66 s, 16 iters, t-(init.)=1.63 s
    t(norm)=0.0971556, mflops=51.4639 (err=1.7e-14)
4. Bailey: elapsed time t=1.09 s, 4 iters, t-(init.)=1.08 s
    t(norm)=0.257492, mflops=19.4181 (err=1.7e-14)
5. Beauregard: elapsed time t=1.71 s, 8 iters, t-(init.)=1.7 s
    t(norm)=0.202656, mflops=24.6724 (err=1.7e-14)
6. Bergland: elapsed time t=1.46 s, 16 iters, t-(init.)=1.43 s
    t(norm)=0.0852346, mflops=58.6616 (err=1.7e-14)
7. Brenner: elapsed time t=1.96 s, 16 iters, t-(init.)=1.93 s
    t(norm)=0.115037, mflops=43.4643 (err=1.7e-14)
8. Burrus: elapsed time t=1.33 s, 8 iters, t-(init.)=1.31 s
    t(norm)=0.156164, mflops=32.0176 (err=1.7e-14)
9. CWP (min N) (N=72072): elapsed time t=1.11 s, 32 iters, t-(init.)=1.04 s
    t(norm)=0.0309944, mflops=161.319
10. CWP (best N) (N=72072): elapsed time t=1.1 s, 32 iters, t-(init.)=1.02 s
    t(norm)=0.0303984, mflops=164.483
11. Edelblute: elapsed time t=1.25 s, 8 iters, t-(init.)=1.23 s
    t(norm)=0.146627, mflops=34.1 (err=1.7e-14)
12. FFTPACK: elapsed time t=1.89 s, 16 iters, t-(init.)=1.85 s
    t(norm)=0.110269, mflops=45.3438 (err=1.7e-14)
13. FFTPACK (f2c): elapsed time t=1.52 s, 8 iters, t-(init.)=1.51 s
    t(norm)=0.180006, mflops=27.7768 (err=1.7e-14)

FFTW_MEASURE plan: (cost = 5.000000e-02)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 16

14. FFTW: elapsed time t=1.64 s, 32 iters, t-(init.)=1.57 s
    t(norm)=0.0467896, mflops=106.861 (err=1.7e-14)

FFTW_ESTIMATE plan: (cost = 5.767168e+05)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.87 s, 32 iters, t-(init.)=1.8 s
    t(norm)=0.0536442, mflops=93.2068 (err=1.7e-14)
16. Frigo-old: elapsed time t=1.44 s, 16 iters, t-(init.)=1.41 s
    t(norm)=0.0840425, mflops=59.4937 (err=1.7e-14)
17. Green: elapsed time t=1.05 s, 16 iters, t-(init.)=1.02 s
    t(norm)=0.0607967, mflops=82.2413 (err=1.7e-14)
18. GSL: elapsed time t=1.04 s, 8 iters, t-(init.)=1.02 s
    t(norm)=0.121593, mflops=41.1206 (err=1.7e-14)
19. GSL DIT: elapsed time t=1.28 s, 8 iters, t-(init.)=1.27 s
    t(norm)=0.151396, mflops=33.026 (err=1.7e-14)
20. GSL DIF: elapsed time t=1.23 s, 8 iters, t-(init.)=1.21 s
    t(norm)=0.144243, mflops=34.6637 (err=1.8e-14)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.71 s, 16 iters, t-(init.)=1.67 s
    t(norm)=0.0995398, mflops=50.2312 (err=1.7e-14)
23. Mayer (simple): elapsed time t=1.63 s, 16 iters, t-(init.)=1.6 s
    t(norm)=0.0953674, mflops=52.4288
24. Mayer (lookup): elapsed time t=1.63 s, 16 iters, t-(init.)=1.59 s
    t(norm)=0.0947714, mflops=52.7585 (err=1.7e-14)
25. Monro: elapsed time t=1.33 s, 8 iters, t-(init.)=1.31 s
    t(norm)=0.156164, mflops=32.0176 (err=1.6e-07)
26. NAPACK (f2c): elapsed time t=1.57 s, 8 iters, t-(init.)=1.55 s
    t(norm)=0.184774, mflops=27.06 (err=8.6e-13)
27. Nielsen: elapsed time t=1.33 s, 8 iters, t-(init.)=1.32 s
    t(norm)=0.157356, mflops=31.775 (err=2.6e-13)
28. NR (C): elapsed time t=1.23 s, 8 iters, t-(init.)=1.21 s
    t(norm)=0.144243, mflops=34.6637 (err=1.7e-14)
29. NR (F): elapsed time t=1.24 s, 8 iters, t-(init.)=1.22 s
    t(norm)=0.145435, mflops=34.3795 (err=1.7e-14)
30. Ooura (C): elapsed time t=1.11 s, 16 iters, t-(init.)=1.07 s
    t(norm)=0.063777, mflops=78.3982 (err=1.7e-14)
31. Ooura (F): elapsed time t=1.21 s, 16 iters, t-(init.)=1.18 s
    t(norm)=0.0703335, mflops=71.0899 (err=1.7e-14)
32. Ransom: elapsed time t=1.3 s, 16 iters, t-(init.)=1.27 s
    t(norm)=0.0756979, mflops=66.052 (err=1.7e-14)
33. SCIPORT: elapsed time t=1.24 s, 8 iters, t-(init.)=1.22 s
    t(norm)=0.145435, mflops=34.3795 (err=1.7e-14)
34. Singleton: elapsed time t=1.51 s, 16 iters, t-(init.)=1.48 s
    t(norm)=0.0882149, mflops=56.6798 (err=2.3e-14)
35. Singleton (f2c): elapsed time t=1.47 s, 16 iters, t-(init.)=1.44 s
    t(norm)=0.0858307, mflops=58.2542 (err=2.3e-14)
36. Sorensen: elapsed time t=1.07 s, 8 iters, t-(init.)=1.05 s
    t(norm)=0.12517, mflops=39.9458 (err=1.7e-14)
37. Sorensen DIT: elapsed time t=1.5 s, 8 iters, t-(init.)=1.49 s
    t(norm)=0.177622, mflops=28.1497 (err=1.7e-14)
38. Temperton: elapsed time t=1.24 s, 8 iters, t-(init.)=1.22 s
    t(norm)=0.145435, mflops=34.3795 (err=1.7e-07)
39. Temperton (f2c): elapsed time t=1.21 s, 8 iters, t-(init.)=1.19 s
    t(norm)=0.141859, mflops=35.2463 (err=1.7e-14)
40. Valkenburg: elapsed time t=1.02 s, 1 iters, t-(init.)=1.02 s
    t(norm)=0.972748, mflops=5.14008 (err=1.7e-14)
41. SCSL: elapsed time t=1.1 s, 32 iters, t-(init.)=1.03 s
    t(norm)=0.0306964, mflops=162.886 (err=1.7e-14)
42. SGIMATH: elapsed time t=1.1 s, 32 iters, t-(init.)=1.04 s
    t(norm)=0.0309944, mflops=161.319 (err=1.7e-14)

Top mflops for N=65536 = 164.483
Normalized results and averages for N=65536:
  fft 0: mflops = 41.5278 (norm. = 0.252475), norm. avg. (of 16) = 0.387548
  fft 1: mflops = 43.4643 (norm. = 0.264249), norm. avg. (of 16) = 0.387229
  fft 2: mflops = 34.9525 (norm. = 0.2125), norm. avg. (of 16) = 0.281292
  fft 3: mflops = 51.4639 (norm. = 0.312883), norm. avg. (of 16) = 0.151629
  fft 4: mflops = 19.4181 (norm. = 0.118056), norm. avg. (of 16) = 0.220464
  fft 5: mflops = 24.6724 (norm. = 0.15), norm. avg. (of 16) = 0.121092
  fft 6: mflops = 58.6616 (norm. = 0.356643), norm. avg. (of 16) = 0.272192
  fft 7: mflops = 43.4643 (norm. = 0.264249), norm. avg. (of 16) = 0.201493
  fft 8: mflops = 32.0176 (norm. = 0.194656), norm. avg. (of 16) = 0.220763
  fft 9: mflops = 161.319 (norm. = 0.980769), norm. avg. (of 16) = 0.595167
  fft 10: mflops = 164.483 (norm. = 1), norm. avg. (of 16) = 0.615602
  fft 11: mflops = 34.1 (norm. = 0.207317), norm. avg. (of 15) = 0.236894
  fft 12: mflops = 45.3438 (norm. = 0.275676), norm. avg. (of 16) = 0.379082
  fft 13: mflops = 27.7768 (norm. = 0.168874), norm. avg. (of 16) = 0.135599
  fft 14: mflops = 106.861 (norm. = 0.649682), norm. avg. (of 16) = 0.712419
  fft 15: mflops = 93.2068 (norm. = 0.566667), norm. avg. (of 16) = 0.675997
  fft 16: mflops = 59.4937 (norm. = 0.361702), norm. avg. (of 16) = 0.685496
  fft 17: mflops = 82.2413 (norm. = 0.5), norm. avg. (of 14) = 0.5939
  fft 18: mflops = 41.1206 (norm. = 0.25), norm. avg. (of 16) = 0.294208
  fft 19: mflops = 33.026 (norm. = 0.200787), norm. avg. (of 16) = 0.205439
  fft 20: mflops = 34.6637 (norm. = 0.210744), norm. avg. (of 16) = 0.207239
  fft 21: mflops = -1 (norm. = -0.00607967), norm. avg. (of 12) = 0.574086
  fft 22: mflops = 50.2312 (norm. = 0.305389), norm. avg. (of 15) = 0.3129
  fft 23: mflops = 52.4288 (norm. = 0.31875), norm. avg. (of 15) = 0.371931
  fft 24: mflops = 52.7585 (norm. = 0.320755), norm. avg. (of 15) = 0.356378
  fft 25: mflops = 32.0176 (norm. = 0.194656), norm. avg. (of 15) = 0.153225
  fft 26: mflops = 27.06 (norm. = 0.164516), norm. avg. (of 16) = 0.148737
  fft 27: mflops = 31.775 (norm. = 0.193182), norm. avg. (of 16) = 0.146799
  fft 28: mflops = 34.6637 (norm. = 0.210744), norm. avg. (of 16) = 0.210492
  fft 29: mflops = 34.3795 (norm. = 0.209016), norm. avg. (of 16) = 0.196772
  fft 30: mflops = 78.3982 (norm. = 0.476636), norm. avg. (of 16) = 0.639484
  fft 31: mflops = 71.0899 (norm. = 0.432203), norm. avg. (of 16) = 0.567814
  fft 32: mflops = 66.052 (norm. = 0.401575), norm. avg. (of 15) = 0.221585
  fft 33: mflops = 34.3795 (norm. = 0.209016), norm. avg. (of 15) = 0.299024
  fft 34: mflops = 56.6798 (norm. = 0.344595), norm. avg. (of 16) = 0.353322
  fft 35: mflops = 58.2542 (norm. = 0.354167), norm. avg. (of 16) = 0.355709
  fft 36: mflops = 39.9458 (norm. = 0.242857), norm. avg. (of 16) = 0.378463
  fft 37: mflops = 28.1497 (norm. = 0.171141), norm. avg. (of 16) = 0.21115
  fft 38: mflops = 34.3795 (norm. = 0.209016), norm. avg. (of 16) = 0.174715
  fft 39: mflops = 35.2463 (norm. = 0.214286), norm. avg. (of 16) = 0.16831
  fft 40: mflops = 5.14008 (norm. = 0.03125), norm. avg. (of 16) = 0.036406
  fft 41: mflops = 162.886 (norm. = 0.990291), norm. avg. (of 16) = 0.796785
  fft 42: mflops = 161.319 (norm. = 0.980769), norm. avg. (of 16) = 0.790348

Benchmarking for array size = 131072 (power of 2):
0. Arndt DIF: elapsed time t=1.51 s, 4 iters, t-(init.)=1.49 s
    t(norm)=0.167173, mflops=29.909 (err=3.3e-14)
1. Arndt DIT: elapsed time t=1.41 s, 4 iters, t-(init.)=1.39 s
    t(norm)=0.155954, mflops=32.0608 (err=3.3e-14)
2. Arndt Split-Radix: elapsed time t=1.85 s, 4 iters, t-(init.)=1.83 s
    t(norm)=0.20532, mflops=24.3522 (err=3.3e-14)
3. Arndt 4-step: elapsed time t=1.99 s, 8 iters, t-(init.)=1.96 s
    t(norm)=0.109953, mflops=45.474 (err=3.3e-14)
4. Bailey: elapsed time t=1.52 s, 2 iters, t-(init.)=1.51 s
    t(norm)=0.338835, mflops=14.7565 (err=3.3e-14)
5. Beauregard: elapsed time t=1.84 s, 4 iters, t-(init.)=1.83 s
    t(norm)=0.20532, mflops=24.3522 (err=3.3e-14)
6. Bergland: elapsed time t=1.74 s, 8 iters, t-(init.)=1.7 s
    t(norm)=0.0953674, mflops=52.4288 (err=3.4e-14)
7. Brenner: elapsed time t=1.16 s, 4 iters, t-(init.)=1.14 s
    t(norm)=0.127905, mflops=39.0916 (err=3.3e-14)
8. Burrus: elapsed time t=1.63 s, 4 iters, t-(init.)=1.62 s
    t(norm)=0.181759, mflops=27.5089 (err=3.3e-14)
9. CWP (min N) (N=144144): elapsed time t=1.19 s, 16 iters, t-(init.)=1.11 s
    t(norm)=0.0311347, mflops=160.593
10. CWP (best N) (N=144144): elapsed time t=1.19 s, 16 iters, t-(init.)=1.11 s
    t(norm)=0.0311347, mflops=160.593
11. Edelblute: elapsed time t=1.55 s, 4 iters, t-(init.)=1.54 s
    t(norm)=0.172783, mflops=28.938 (err=3.3e-14)
12. FFTPACK: elapsed time t=1.64 s, 4 iters, t-(init.)=1.62 s
    t(norm)=0.181759, mflops=27.5089 (err=3.3e-14)
13. FFTPACK (f2c): elapsed time t=1.19 s, 2 iters, t-(init.)=1.19 s
    t(norm)=0.267029, mflops=18.7246 (err=3.3e-14)

FFTW_MEASURE plan: (cost = 1.550000e-01)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 16

14. FFTW: elapsed time t=1.25 s, 8 iters, t-(init.)=1.21 s
    t(norm)=0.0678792, mflops=73.6603 (err=3.3e-14)

FFTW_ESTIMATE plan: (cost = 1.153434e+06)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.21 s, 8 iters, t-(init.)=1.17 s
    t(norm)=0.0656352, mflops=76.1786 (err=3.3e-14)
16. Frigo-old: elapsed time t=1.92 s, 8 iters, t-(init.)=1.88 s
    t(norm)=0.105465, mflops=47.409 (err=3.3e-14)
17. Green: elapsed time t=1.45 s, 8 iters, t-(init.)=1.42 s
    t(norm)=0.0796599, mflops=62.7669 (err=3.3e-14)
18. GSL: elapsed time t=1.45 s, 4 iters, t-(init.)=1.44 s
    t(norm)=0.161564, mflops=30.9476 (err=3.3e-14)
19. GSL DIT: elapsed time t=1.72 s, 4 iters, t-(init.)=1.7 s
    t(norm)=0.190735, mflops=26.2144 (err=3.5e-14)
20. GSL DIF: elapsed time t=1.64 s, 4 iters, t-(init.)=1.62 s
    t(norm)=0.181759, mflops=27.5089 (err=3.5e-14)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.91 s, 8 iters, t-(init.)=1.88 s
    t(norm)=0.105465, mflops=47.409 (err=3.3e-14)
23. Mayer (simple): elapsed time t=1.81 s, 8 iters, t-(init.)=1.77 s
    t(norm)=0.0992943, mflops=50.3553
24. Mayer (lookup): elapsed time t=1.83 s, 8 iters, t-(init.)=1.79 s
    t(norm)=0.100416, mflops=49.7927 (err=3.3e-14)
25. Monro: elapsed time t=1.79 s, 4 iters, t-(init.)=1.77 s
    t(norm)=0.198589, mflops=25.1777 (err=1.7e-07)
26. NAPACK (f2c): elapsed time t=1.8 s, 4 iters, t-(init.)=1.78 s
    t(norm)=0.199711, mflops=25.0362 (err=2.0e-12)
27. Nielsen: elapsed time t=1.75 s, 4 iters, t-(init.)=1.73 s
    t(norm)=0.194101, mflops=25.7598 (err=9.2e-13)
28. NR (C): elapsed time t=1.65 s, 4 iters, t-(init.)=1.63 s
    t(norm)=0.182881, mflops=27.3402 (err=3.4e-14)
29. NR (F): elapsed time t=1.62 s, 4 iters, t-(init.)=1.61 s
    t(norm)=0.180637, mflops=27.6798 (err=3.4e-14)
30. Ooura (C): elapsed time t=1.25 s, 8 iters, t-(init.)=1.22 s
    t(norm)=0.0684402, mflops=73.0565 (err=3.4e-14)
31. Ooura (F): elapsed time t=1.33 s, 8 iters, t-(init.)=1.29 s
    t(norm)=0.0723671, mflops=69.0922 (err=3.4e-14)
32. Ransom: elapsed time t=1.48 s, 8 iters, t-(init.)=1.44 s
    t(norm)=0.0807818, mflops=61.8951 (err=3.3e-14)
33. SCIPORT: elapsed time t=1.74 s, 4 iters, t-(init.)=1.72 s
    t(norm)=0.192979, mflops=25.9096 (err=3.3e-14)
34. Singleton: elapsed time t=1.9 s, 8 iters, t-(init.)=1.87 s
    t(norm)=0.104904, mflops=47.6625 (err=4.8e-14)
35. Singleton (f2c): elapsed time t=1.85 s, 8 iters, t-(init.)=1.81 s
    t(norm)=0.101538, mflops=49.2425 (err=4.8e-14)
36. Sorensen: elapsed time t=1.28 s, 4 iters, t-(init.)=1.27 s
    t(norm)=0.14249, mflops=35.0901 (err=3.3e-14)
37. Sorensen DIT: elapsed time t=1.81 s, 4 iters, t-(init.)=1.8 s
    t(norm)=0.201955, mflops=24.758 (err=3.3e-14)
38. Temperton: elapsed time t=1.6 s, 4 iters, t-(init.)=1.58 s
    t(norm)=0.177271, mflops=28.2054 (err=1.9e-07)
39. Temperton (f2c): elapsed time t=1.65 s, 4 iters, t-(init.)=1.63 s
    t(norm)=0.182881, mflops=27.3402 (err=3.3e-14)
40. Valkenburg: elapsed time t=1.89 s, 1 iters, t-(init.)=1.89 s
    t(norm)=0.848209, mflops=5.89477 (err=3.4e-14)
41. SCSL: elapsed time t=1.33 s, 16 iters, t-(init.)=1.26 s
    t(norm)=0.035342, mflops=141.475 (err=3.3e-14)
42. SGIMATH: elapsed time t=1.33 s, 16 iters, t-(init.)=1.26 s
    t(norm)=0.035342, mflops=141.475 (err=3.3e-14)

Top mflops for N=131072 = 160.593
Normalized results and averages for N=131072:
  fft 0: mflops = 29.909 (norm. = 0.186242), norm. avg. (of 17) = 0.375707
  fft 1: mflops = 32.0608 (norm. = 0.19964), norm. avg. (of 17) = 0.376194
  fft 2: mflops = 24.3522 (norm. = 0.151639), norm. avg. (of 17) = 0.273666
  fft 3: mflops = 45.474 (norm. = 0.283163), norm. avg. (of 17) = 0.159366
  fft 4: mflops = 14.7565 (norm. = 0.0918874), norm. avg. (of 17) = 0.212901
  fft 5: mflops = 24.3522 (norm. = 0.151639), norm. avg. (of 17) = 0.122889
  fft 6: mflops = 52.4288 (norm. = 0.326471), norm. avg. (of 17) = 0.275384
  fft 7: mflops = 39.0916 (norm. = 0.243421), norm. avg. (of 17) = 0.203959
  fft 8: mflops = 27.5089 (norm. = 0.171296), norm. avg. (of 17) = 0.217853
  fft 9: mflops = 160.593 (norm. = 1), norm. avg. (of 17) = 0.61898
  fft 10: mflops = 160.593 (norm. = 1), norm. avg. (of 17) = 0.638214
  fft 11: mflops = 28.938 (norm. = 0.180195), norm. avg. (of 16) = 0.23335
  fft 12: mflops = 27.5089 (norm. = 0.171296), norm. avg. (of 17) = 0.366859
  fft 13: mflops = 18.7246 (norm. = 0.116597), norm. avg. (of 17) = 0.134481
  fft 14: mflops = 73.6603 (norm. = 0.458678), norm. avg. (of 17) = 0.697493
  fft 15: mflops = 76.1786 (norm. = 0.474359), norm. avg. (of 17) = 0.664136
  fft 16: mflops = 47.409 (norm. = 0.295213), norm. avg. (of 17) = 0.662538
  fft 17: mflops = 62.7669 (norm. = 0.390845), norm. avg. (of 15) = 0.580363
  fft 18: mflops = 30.9476 (norm. = 0.192708), norm. avg. (of 17) = 0.288237
  fft 19: mflops = 26.2144 (norm. = 0.163235), norm. avg. (of 17) = 0.202956
  fft 20: mflops = 27.5089 (norm. = 0.171296), norm. avg. (of 17) = 0.205124
  fft 21: mflops = -1 (norm. = -0.00622693), norm. avg. (of 12) = 0.574086
  fft 22: mflops = 47.409 (norm. = 0.295213), norm. avg. (of 16) = 0.311795
  fft 23: mflops = 50.3553 (norm. = 0.313559), norm. avg. (of 16) = 0.368283
  fft 24: mflops = 49.7927 (norm. = 0.310056), norm. avg. (of 16) = 0.353483
  fft 25: mflops = 25.1777 (norm. = 0.15678), norm. avg. (of 16) = 0.153447
  fft 26: mflops = 25.0362 (norm. = 0.155899), norm. avg. (of 17) = 0.149158
  fft 27: mflops = 25.7598 (norm. = 0.160405), norm. avg. (of 17) = 0.1476
  fft 28: mflops = 27.3402 (norm. = 0.170245), norm. avg. (of 17) = 0.208124
  fft 29: mflops = 27.6798 (norm. = 0.17236), norm. avg. (of 17) = 0.195336
  fft 30: mflops = 73.0565 (norm. = 0.454918), norm. avg. (of 17) = 0.628627
  fft 31: mflops = 69.0922 (norm. = 0.430233), norm. avg. (of 17) = 0.559721
  fft 32: mflops = 61.8951 (norm. = 0.385417), norm. avg. (of 16) = 0.231825
  fft 33: mflops = 25.9096 (norm. = 0.161337), norm. avg. (of 16) = 0.290419
  fft 34: mflops = 47.6625 (norm. = 0.296791), norm. avg. (of 17) = 0.349997
  fft 35: mflops = 49.2425 (norm. = 0.30663), norm. avg. (of 17) = 0.352822
  fft 36: mflops = 35.0901 (norm. = 0.218504), norm. avg. (of 17) = 0.369054
  fft 37: mflops = 24.758 (norm. = 0.154167), norm. avg. (of 17) = 0.207798
  fft 38: mflops = 28.2054 (norm. = 0.175633), norm. avg. (of 17) = 0.174769
  fft 39: mflops = 27.3402 (norm. = 0.170245), norm. avg. (of 17) = 0.168423
  fft 40: mflops = 5.89477 (norm. = 0.0367063), norm. avg. (of 17) = 0.0364237
  fft 41: mflops = 141.475 (norm. = 0.880952), norm. avg. (of 17) = 0.801736
  fft 42: mflops = 141.475 (norm. = 0.880952), norm. avg. (of 17) = 0.795678

Benchmarking for array size = 262144 (power of 2):
0. Arndt DIF: elapsed time t=1.07 s, 1 iters, t-(init.)=1.06 s
    t(norm)=0.224643, mflops=22.2575 (err=4.3e-14)
1. Arndt DIT: elapsed time t=1 s, 1 iters, t-(init.)=0.99 s
    t(norm)=0.209808, mflops=23.8313 (err=4.3e-14)
2. Arndt Split-Radix: elapsed time t=1.2 s, 1 iters, t-(init.)=1.19 s
    t(norm)=0.252194, mflops=19.826 (err=4.3e-14)
3. Arndt 4-step: elapsed time t=1.96 s, 4 iters, t-(init.)=1.92 s
    t(norm)=0.101725, mflops=49.152 (err=4.3e-14)
4. Bailey: elapsed time t=3.35 s, 1 iters, t-(init.)=3.33 s
    t(norm)=0.705719, mflops=7.08497 (err=4.3e-14)
5. Beauregard: elapsed time t=1.03 s, 1 iters, t-(init.)=1.02 s
    t(norm)=0.216166, mflops=23.1304 (err=4.4e-14)
6. Bergland: elapsed time t=1.06 s, 2 iters, t-(init.)=1.04 s
    t(norm)=0.110202, mflops=45.3711 (err=4.4e-14)
7. Brenner: elapsed time t=1.54 s, 2 iters, t-(init.)=1.52 s
    t(norm)=0.161065, mflops=31.0434 (err=4.4e-14)
8. Burrus: elapsed time t=1.3 s, 1 iters, t-(init.)=1.29 s
    t(norm)=0.273387, mflops=18.2891 (err=4.3e-14)
9. CWP (min N) (N=360360): elapsed time t=1.02 s, 4 iters, t-(init.)=0.94 s
    t(norm)=0.049803, mflops=100.396
10. CWP (best N) (N=360360): elapsed time t=1.03 s, 4 iters, t-(init.)=0.95 s
    t(norm)=0.0503328, mflops=99.3388
11. Edelblute: elapsed time t=1.23 s, 1 iters, t-(init.)=1.23 s
    t(norm)=0.260671, mflops=19.1813 (err=4.3e-14)
12. FFTPACK: elapsed time t=1.5 s, 1 iters, t-(init.)=1.49 s
    t(norm)=0.315772, mflops=15.8342 (err=4.4e-14)
13. FFTPACK (f2c): elapsed time t=2.2 s, 1 iters, t-(init.)=2.18 s
    t(norm)=0.462002, mflops=10.8225 (err=4.4e-14)

FFTW_MEASURE plan: (cost = 4.000000e-01)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

14. FFTW: elapsed time t=1.61 s, 4 iters, t-(init.)=1.49 s
    t(norm)=0.078943, mflops=63.3368 (err=4.4e-14)

FFTW_ESTIMATE plan: (cost = 2.988442e+06)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.79 s, 4 iters, t-(init.)=1.69 s
    t(norm)=0.0895394, mflops=55.8413 (err=4.4e-14)
16. Frigo-old: elapsed time t=1.64 s, 2 iters, t-(init.)=1.61 s
    t(norm)=0.170602, mflops=29.308 (err=4.4e-14)
17. Green: elapsed time t=1 s, 2 iters, t-(init.)=0.98 s
    t(norm)=0.103845, mflops=48.1489 (err=4.4e-14)
18. GSL: elapsed time t=1.93 s, 1 iters, t-(init.)=1.92 s
    t(norm)=0.406901, mflops=12.288 (err=4.4e-14)
19. GSL DIT: elapsed time t=1.01 s, 1 iters, t-(init.)=1.01 s
    t(norm)=0.214047, mflops=23.3594 (err=4.6e-14)
20. GSL DIF: elapsed time t=1.94 s, 2 iters, t-(init.)=1.92 s
    t(norm)=0.203451, mflops=24.576 (err=4.6e-14)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.29 s, 2 iters, t-(init.)=1.27 s
    t(norm)=0.134574, mflops=37.1543 (err=4.3e-14)
23. Mayer (simple): elapsed time t=1.24 s, 2 iters, t-(init.)=1.22 s
    t(norm)=0.129276, mflops=38.677
24. Mayer (lookup): elapsed time t=1.22 s, 2 iters, t-(init.)=1.2 s
    t(norm)=0.127157, mflops=39.3216 (err=4.3e-14)
25. Monro: elapsed time t=1.21 s, 1 iters, t-(init.)=1.2 s
    t(norm)=0.254313, mflops=19.6608 (err=1.8e-07)
26. NAPACK (f2c): elapsed time t=2.41 s, 1 iters, t-(init.)=2.38 s
    t(norm)=0.504388, mflops=9.91301 (err=3.7e-12)
27. Nielsen: elapsed time t=1.19 s, 1 iters, t-(init.)=1.17 s
    t(norm)=0.247955, mflops=20.1649 (err=2.1e-12)
28. NR (C): elapsed time t=1.98 s, 2 iters, t-(init.)=1.96 s
    t(norm)=0.207689, mflops=24.0744 (err=4.4e-14)
29. NR (F): elapsed time t=1.95 s, 2 iters, t-(init.)=1.94 s
    t(norm)=0.20557, mflops=24.3226 (err=4.4e-14)
30. Ooura (C): elapsed time t=1.62 s, 4 iters, t-(init.)=1.58 s
    t(norm)=0.0837114, mflops=59.729 (err=4.4e-14)
31. Ooura (F): elapsed time t=1.76 s, 4 iters, t-(init.)=1.73 s
    t(norm)=0.0916587, mflops=54.5502 (err=4.4e-14)
32. Ransom: elapsed time t=1.37 s, 4 iters, t-(init.)=1.33 s
    t(norm)=0.0704659, mflops=70.9563 (err=4.3e-14)
33. SCIPORT: elapsed time t=1.99 s, 1 iters, t-(init.)=1.97 s
    t(norm)=0.417497, mflops=11.9761 (err=4.4e-14)
34. Singleton: elapsed time t=1.19 s, 2 iters, t-(init.)=1.18 s
    t(norm)=0.125037, mflops=39.9881 (err=6.0e-14)
35. Singleton (f2c): elapsed time t=1.14 s, 2 iters, t-(init.)=1.12 s
    t(norm)=0.118679, mflops=42.1303 (err=6.0e-14)
36. Sorensen: elapsed time t=1.01 s, 1 iters, t-(init.)=1 s
    t(norm)=0.211928, mflops=23.593 (err=4.3e-14)
37. Sorensen DIT: elapsed time t=1.43 s, 1 iters, t-(init.)=1.42 s
    t(norm)=0.300937, mflops=16.6148 (err=4.3e-14)
38. Temperton: elapsed time t=1.41 s, 1 iters, t-(init.)=1.4 s
    t(norm)=0.296699, mflops=16.8521 (err=2.0e-07)
39. Temperton (f2c): elapsed time t=1.75 s, 1 iters, t-(init.)=1.74 s
    t(norm)=0.368754, mflops=13.5592 (err=4.4e-14)
40. Valkenburg: elapsed time t=4.54 s, 1 iters, t-(init.)=4.53 s
    t(norm)=0.960032, mflops=5.20816 (err=4.4e-14)
41. SCSL: elapsed time t=1.06 s, 4 iters, t-(init.)=0.98 s
    t(norm)=0.0519223, mflops=96.2978 (err=4.4e-14)
42. SGIMATH: elapsed time t=1.53 s, 8 iters, t-(init.)=1.46 s
    t(norm)=0.0386768, mflops=129.276 (err=4.4e-14)

Top mflops for N=262144 = 129.276
Normalized results and averages for N=262144:
  fft 0: mflops = 22.2575 (norm. = 0.17217), norm. avg. (of 18) = 0.364399
  fft 1: mflops = 23.8313 (norm. = 0.184343), norm. avg. (of 18) = 0.365536
  fft 2: mflops = 19.826 (norm. = 0.153361), norm. avg. (of 18) = 0.266982
  fft 3: mflops = 49.152 (norm. = 0.380208), norm. avg. (of 18) = 0.171635
  fft 4: mflops = 7.08497 (norm. = 0.0548048), norm. avg. (of 18) = 0.204118
  fft 5: mflops = 23.1304 (norm. = 0.178922), norm. avg. (of 18) = 0.126002
  fft 6: mflops = 45.3711 (norm. = 0.350962), norm. avg. (of 18) = 0.279583
  fft 7: mflops = 31.0434 (norm. = 0.240132), norm. avg. (of 18) = 0.205969
  fft 8: mflops = 18.2891 (norm. = 0.141473), norm. avg. (of 18) = 0.21361
  fft 9: mflops = 100.396 (norm. = 0.776596), norm. avg. (of 18) = 0.627737
  fft 10: mflops = 99.3388 (norm. = 0.768421), norm. avg. (of 18) = 0.645448
  fft 11: mflops = 19.1813 (norm. = 0.148374), norm. avg. (of 17) = 0.228352
  fft 12: mflops = 15.8342 (norm. = 0.122483), norm. avg. (of 18) = 0.353283
  fft 13: mflops = 10.8225 (norm. = 0.0837156), norm. avg. (of 18) = 0.131661
  fft 14: mflops = 63.3368 (norm. = 0.489933), norm. avg. (of 18) = 0.685962
  fft 15: mflops = 55.8413 (norm. = 0.431953), norm. avg. (of 18) = 0.651237
  fft 16: mflops = 29.308 (norm. = 0.226708), norm. avg. (of 18) = 0.638325
  fft 17: mflops = 48.1489 (norm. = 0.372449), norm. avg. (of 16) = 0.567368
  fft 18: mflops = 12.288 (norm. = 0.0950521), norm. avg. (of 18) = 0.277505
  fft 19: mflops = 23.3594 (norm. = 0.180693), norm. avg. (of 18) = 0.201719
  fft 20: mflops = 24.576 (norm. = 0.190104), norm. avg. (of 18) = 0.20429
  fft 21: mflops = -1 (norm. = -0.00773536), norm. avg. (of 12) = 0.574086
  fft 22: mflops = 37.1543 (norm. = 0.287402), norm. avg. (of 17) = 0.31036
  fft 23: mflops = 38.677 (norm. = 0.29918), norm. avg. (of 17) = 0.364218
  fft 24: mflops = 39.3216 (norm. = 0.304167), norm. avg. (of 17) = 0.350582
  fft 25: mflops = 19.6608 (norm. = 0.152083), norm. avg. (of 17) = 0.153367
  fft 26: mflops = 9.91301 (norm. = 0.0766807), norm. avg. (of 18) = 0.145132
  fft 27: mflops = 20.1649 (norm. = 0.155983), norm. avg. (of 18) = 0.148065
  fft 28: mflops = 24.0744 (norm. = 0.186224), norm. avg. (of 18) = 0.206908
  fft 29: mflops = 24.3226 (norm. = 0.188144), norm. avg. (of 18) = 0.194936
  fft 30: mflops = 59.729 (norm. = 0.462025), norm. avg. (of 18) = 0.619371
  fft 31: mflops = 54.5502 (norm. = 0.421965), norm. avg. (of 18) = 0.552068
  fft 32: mflops = 70.9563 (norm. = 0.548872), norm. avg. (of 17) = 0.250475
  fft 33: mflops = 11.9761 (norm. = 0.0926396), norm. avg. (of 17) = 0.278785
  fft 34: mflops = 39.9881 (norm. = 0.309322), norm. avg. (of 18) = 0.347737
  fft 35: mflops = 42.1303 (norm. = 0.325893), norm. avg. (of 18) = 0.351326
  fft 36: mflops = 23.593 (norm. = 0.1825), norm. avg. (of 18) = 0.35869
  fft 37: mflops = 16.6148 (norm. = 0.128521), norm. avg. (of 18) = 0.203394
  fft 38: mflops = 16.8521 (norm. = 0.130357), norm. avg. (of 18) = 0.172302
  fft 39: mflops = 13.5592 (norm. = 0.104885), norm. avg. (of 18) = 0.164894
  fft 40: mflops = 5.20816 (norm. = 0.040287), norm. avg. (of 18) = 0.0366383
  fft 41: mflops = 96.2978 (norm. = 0.744898), norm. avg. (of 18) = 0.798578
  fft 42: mflops = 129.276 (norm. = 1), norm. avg. (of 18) = 0.807029

Benchmarking for array size = 524288 (power of 2):
0. Arndt DIF: elapsed time t=7.79 s, 1 iters, t-(init.)=7.75 s
    t(norm)=0.777997, mflops=6.42676 (err=1.1e-13)
1. Arndt DIT: elapsed time t=8.6 s, 1 iters, t-(init.)=8.55 s
    t(norm)=0.858307, mflops=5.82542 (err=1.1e-13)
2. Arndt Split-Radix: elapsed time t=9.05 s, 1 iters, t-(init.)=8.98 s
    t(norm)=0.901473, mflops=5.54648 (err=1.1e-13)
3. Arndt 4-step: elapsed time t=1.89 s, 1 iters, t-(init.)=1.85 s
    t(norm)=0.185716, mflops=26.9229 (err=1.1e-13)
4. Bailey: elapsed time t=11.82 s, 1 iters, t-(init.)=11.78 s
    t(norm)=1.18256, mflops=4.22813 (err=1.1e-13)
5. Beauregard: elapsed time t=2.79 s, 1 iters, t-(init.)=2.75 s
    t(norm)=0.276064, mflops=18.1118 (err=1.1e-13)
6. Bergland: elapsed time t=2.8 s, 1 iters, t-(init.)=2.76 s
    t(norm)=0.277067, mflops=18.0461 (err=1.1e-13)
7. Brenner: elapsed time t=3.72 s, 1 iters, t-(init.)=3.68 s
    t(norm)=0.369423, mflops=13.5346 (err=1.1e-13)
8. Burrus: elapsed time t=10.41 s, 1 iters, t-(init.)=10.37 s
    t(norm)=1.04101, mflops=4.80302 (err=1.1e-13)
9. CWP (min N) (N=720720): elapsed time t=1.28 s, 2 iters, t-(init.)=1.18 s
    t(norm)=0.0592282, mflops=84.4193
10. CWP (best N) (N=720720): elapsed time t=1.37 s, 2 iters, t-(init.)=1.26 s
    t(norm)=0.0632437, mflops=79.0593
11. Edelblute: elapsed time t=8.74 s, 1 iters, t-(init.)=8.7 s
    t(norm)=0.873365, mflops=5.72498 (err=1.1e-13)
12. FFTPACK: elapsed time t=8.03 s, 1 iters, t-(init.)=7.99 s
    t(norm)=0.80209, mflops=6.23371 (err=1.1e-13)
13. FFTPACK (f2c): elapsed time t=6.57 s, 1 iters, t-(init.)=6.53 s
    t(norm)=0.655526, mflops=7.62747 (err=1.1e-13)

FFTW_MEASURE plan: (cost = 1.530000e+00)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

14. FFTW: elapsed time t=1.16 s, 1 iters, t-(init.)=1.12 s
    t(norm)=0.112433, mflops=44.4709 (err=1.1e-13)

FFTW_ESTIMATE plan: (cost = 5.976883e+06)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=1.82 s, 1 iters, t-(init.)=1.78 s
    t(norm)=0.178688, mflops=27.9817 (err=1.1e-13)
16. Frigo-old: elapsed time t=2.3 s, 1 iters, t-(init.)=2.26 s
    t(norm)=0.226874, mflops=22.0387 (err=1.1e-13)
17. Green: elapsed time t=2.3 s, 1 iters, t-(init.)=2.25 s
    t(norm)=0.22587, mflops=22.1366 (err=1.1e-13)
18. GSL: elapsed time t=5.94 s, 1 iters, t-(init.)=5.9 s
    t(norm)=0.592282, mflops=8.44193 (err=1.1e-13)
19. GSL DIT: elapsed time t=5.42 s, 1 iters, t-(init.)=5.38 s
    t(norm)=0.540081, mflops=9.25787 (err=1.1e-13)
20. GSL DIF: elapsed time t=7.04 s, 1 iters, t-(init.)=7 s
    t(norm)=0.702707, mflops=7.11534 (err=1.1e-13)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.57 s, 1 iters, t-(init.)=1.53 s
    t(norm)=0.153592, mflops=32.5538 (err=1.1e-13)
23. Mayer (simple): elapsed time t=1.55 s, 1 iters, t-(init.)=1.5 s
    t(norm)=0.15058, mflops=33.2049
24. Mayer (lookup): elapsed time t=2.61 s, 1 iters, t-(init.)=2.57 s
    t(norm)=0.257994, mflops=19.3803 (err=1.1e-13)
25. Monro: elapsed time t=8.6 s, 1 iters, t-(init.)=8.56 s
    t(norm)=0.859311, mflops=5.81862 (err=1.9e-07)
26. NAPACK (f2c): elapsed time t=4.83 s, 1 iters, t-(init.)=4.79 s
    t(norm)=0.480853, mflops=10.3982 (err=7.9e-12)
27. Nielsen: elapsed time t=6.18 s, 1 iters, t-(init.)=6.14 s
    t(norm)=0.616375, mflops=8.11195 (err=4.4e-12)
28. NR (C): elapsed time t=7.01 s, 1 iters, t-(init.)=6.97 s
    t(norm)=0.699696, mflops=7.14596 (err=1.1e-13)
29. NR (F): elapsed time t=6.03 s, 1 iters, t-(init.)=5.98 s
    t(norm)=0.600313, mflops=8.32899 (err=1.1e-13)
30. Ooura (C): elapsed time t=1.22 s, 1 iters, t-(init.)=1.17 s
    t(norm)=0.117453, mflops=42.5704 (err=1.1e-13)
31. Ooura (F): elapsed time t=1.29 s, 1 iters, t-(init.)=1.25 s
    t(norm)=0.125483, mflops=39.8459 (err=1.1e-13)
32. Ransom: elapsed time t=1.06 s, 1 iters, t-(init.)=1.01 s
    t(norm)=0.101391, mflops=49.3142 (err=1.1e-13)
33. SCIPORT: elapsed time t=4.82 s, 1 iters, t-(init.)=4.78 s
    t(norm)=0.479849, mflops=10.4199 (err=1.1e-13)
34. Singleton: elapsed time t=4.34 s, 1 iters, t-(init.)=4.29 s
    t(norm)=0.430659, mflops=11.6101 (err=1.6e-13)
35. Singleton (f2c): elapsed time t=4 s, 1 iters, t-(init.)=3.96 s
    t(norm)=0.397532, mflops=12.5776 (err=1.6e-13)
36. Sorensen: elapsed time t=4.36 s, 1 iters, t-(init.)=4.31 s
    t(norm)=0.432667, mflops=11.5562 (err=1.1e-13)
37. Sorensen DIT: elapsed time t=8.83 s, 1 iters, t-(init.)=8.79 s
    t(norm)=0.8824, mflops=5.66637 (err=1.1e-13)
38. Temperton: elapsed time t=4.86 s, 1 iters, t-(init.)=4.77 s
    t(norm)=0.478845, mflops=10.4418 (err=2.1e-07)
39. Temperton (f2c): elapsed time t=5.52 s, 1 iters, t-(init.)=5.48 s
    t(norm)=0.55012, mflops=9.08893 (err=1.1e-13)
40. Valkenburg: elapsed time t=13.59 s, 1 iters, t-(init.)=13.55 s
    t(norm)=1.36024, mflops=3.67582 (err=1.1e-13)
41. SCSL: elapsed time t=1.19 s, 2 iters, t-(init.)=1.11 s
    t(norm)=0.0557147, mflops=89.743 (err=1.1e-13)
42. SGIMATH: elapsed time t=1.16 s, 2 iters, t-(init.)=1.09 s
    t(norm)=0.0547108, mflops=91.3897 (err=1.1e-13)

Top mflops for N=524288 = 91.3897
Normalized results and averages for N=524288:
  fft 0: mflops = 6.42676 (norm. = 0.0703226), norm. avg. (of 19) = 0.348921
  fft 1: mflops = 5.82542 (norm. = 0.0637427), norm. avg. (of 19) = 0.349652
  fft 2: mflops = 5.54648 (norm. = 0.0606904), norm. avg. (of 19) = 0.256125
  fft 3: mflops = 26.9229 (norm. = 0.294595), norm. avg. (of 19) = 0.178107
  fft 4: mflops = 4.22813 (norm. = 0.0462649), norm. avg. (of 19) = 0.19581
  fft 5: mflops = 18.1118 (norm. = 0.198182), norm. avg. (of 19) = 0.129801
  fft 6: mflops = 18.0461 (norm. = 0.197464), norm. avg. (of 19) = 0.275261
  fft 7: mflops = 13.5346 (norm. = 0.148098), norm. avg. (of 19) = 0.202923
  fft 8: mflops = 4.80302 (norm. = 0.0525554), norm. avg. (of 19) = 0.205133
  fft 9: mflops = 84.4193 (norm. = 0.923729), norm. avg. (of 19) = 0.643315
  fft 10: mflops = 79.0593 (norm. = 0.865079), norm. avg. (of 19) = 0.657007
  fft 11: mflops = 5.72498 (norm. = 0.0626437), norm. avg. (of 18) = 0.219146
  fft 12: mflops = 6.23371 (norm. = 0.0682103), norm. avg. (of 19) = 0.338279
  fft 13: mflops = 7.62747 (norm. = 0.0834609), norm. avg. (of 19) = 0.129124
  fft 14: mflops = 44.4709 (norm. = 0.486607), norm. avg. (of 19) = 0.675469
  fft 15: mflops = 27.9817 (norm. = 0.30618), norm. avg. (of 19) = 0.633076
  fft 16: mflops = 22.0387 (norm. = 0.24115), norm. avg. (of 19) = 0.617421
  fft 17: mflops = 22.1366 (norm. = 0.242222), norm. avg. (of 17) = 0.548242
  fft 18: mflops = 8.44193 (norm. = 0.0923729), norm. avg. (of 19) = 0.267761
  fft 19: mflops = 9.25787 (norm. = 0.101301), norm. avg. (of 19) = 0.196434
  fft 20: mflops = 7.11534 (norm. = 0.0778571), norm. avg. (of 19) = 0.197636
  fft 21: mflops = -1 (norm. = -0.0109422), norm. avg. (of 12) = 0.574086
  fft 22: mflops = 32.5538 (norm. = 0.356209), norm. avg. (of 18) = 0.312907
  fft 23: mflops = 33.2049 (norm. = 0.363333), norm. avg. (of 18) = 0.364169
  fft 24: mflops = 19.3803 (norm. = 0.212062), norm. avg. (of 18) = 0.342886
  fft 25: mflops = 5.81862 (norm. = 0.0636682), norm. avg. (of 18) = 0.148384
  fft 26: mflops = 10.3982 (norm. = 0.113779), norm. avg. (of 19) = 0.143482
  fft 27: mflops = 8.11195 (norm. = 0.0887622), norm. avg. (of 19) = 0.144944
  fft 28: mflops = 7.14596 (norm. = 0.0781923), norm. avg. (of 19) = 0.200133
  fft 29: mflops = 8.32899 (norm. = 0.0911371), norm. avg. (of 19) = 0.189473
  fft 30: mflops = 42.5704 (norm. = 0.465812), norm. avg. (of 19) = 0.611289
  fft 31: mflops = 39.8459 (norm. = 0.436), norm. avg. (of 19) = 0.545959
  fft 32: mflops = 49.3142 (norm. = 0.539604), norm. avg. (of 18) = 0.266537
  fft 33: mflops = 10.4199 (norm. = 0.114017), norm. avg. (of 18) = 0.269631
  fft 34: mflops = 11.6101 (norm. = 0.12704), norm. avg. (of 19) = 0.336122
  fft 35: mflops = 12.5776 (norm. = 0.137626), norm. avg. (of 19) = 0.340079
  fft 36: mflops = 11.5562 (norm. = 0.12645), norm. avg. (of 19) = 0.346467
  fft 37: mflops = 5.66637 (norm. = 0.0620023), norm. avg. (of 19) = 0.195952
  fft 38: mflops = 10.4418 (norm. = 0.114256), norm. avg. (of 19) = 0.169247
  fft 39: mflops = 9.08893 (norm. = 0.0994526), norm. avg. (of 19) = 0.161449
  fft 40: mflops = 3.67582 (norm. = 0.0402214), norm. avg. (of 19) = 0.0368269
  fft 41: mflops = 89.743 (norm. = 0.981982), norm. avg. (of 19) = 0.808231
  fft 42: mflops = 91.3897 (norm. = 1), norm. avg. (of 19) = 0.817185

Benchmarking for array size = 1048576 (power of 2):
0. Arndt DIF: elapsed time t=17.62 s, 1 iters, t-(init.)=17.54 s
    t(norm)=0.836372, mflops=5.9782 (err=1.9e-13)
1. Arndt DIT: elapsed time t=17.67 s, 1 iters, t-(init.)=17.54 s
    t(norm)=0.836372, mflops=5.9782 (err=1.9e-13)
2. Arndt Split-Radix: elapsed time t=21.71 s, 1 iters, t-(init.)=21.63 s
    t(norm)=1.0314, mflops=4.84779 (err=1.9e-13)
3. Arndt 4-step: elapsed time t=4.06 s, 1 iters, t-(init.)=3.98 s
    t(norm)=0.189781, mflops=26.3461 (err=1.9e-13)
4. Bailey: elapsed time t=28.99 s, 1 iters, t-(init.)=28.9 s
    t(norm)=1.37806, mflops=3.62829 (err=1.9e-13)
5. Beauregard: elapsed time t=6.4 s, 1 iters, t-(init.)=6.31 s
    t(norm)=0.300884, mflops=16.6177 (err=1.9e-13)
6. Bergland: elapsed time t=7.39 s, 1 iters, t-(init.)=7.3 s
    t(norm)=0.348091, mflops=14.3641 (err=1.9e-13)
7. Brenner: elapsed time t=8.82 s, 1 iters, t-(init.)=8.74 s
    t(norm)=0.416756, mflops=11.9974 (err=1.9e-13)
8. Burrus: elapsed time t=22.52 s, 1 iters, t-(init.)=22.44 s
    t(norm)=1.07002, mflops=4.6728 (err=1.9e-13)
9. Skipping fft (this transform size is too big for CWP).
10. Skipping fft (this transform size is too big for CWP).
11. Edelblute: elapsed time t=20.09 s, 1 iters, t-(init.)=19.89 s
    t(norm)=0.948429, mflops=5.27188 (err=1.9e-13)
12. FFTPACK: elapsed time t=13.87 s, 1 iters, t-(init.)=13.78 s
    t(norm)=0.657082, mflops=7.6094 (err=1.9e-13)
13. FFTPACK (f2c): elapsed time t=12.32 s, 1 iters, t-(init.)=12.24 s
    t(norm)=0.583649, mflops=8.5668 (err=1.9e-13)

FFTW_MEASURE plan: (cost = 3.760000e+00)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 32
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 16

14. FFTW: elapsed time t=3.93 s, 1 iters, t-(init.)=3.84 s
    t(norm)=0.183105, mflops=27.3067 (err=1.9e-13)

FFTW_ESTIMATE plan: (cost = 1.195377e+07)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=3.97 s, 1 iters, t-(init.)=3.88 s
    t(norm)=0.185013, mflops=27.0252 (err=1.9e-13)
16. Frigo-old: elapsed time t=7.99 s, 1 iters, t-(init.)=7.9 s
    t(norm)=0.376701, mflops=13.2731 (err=1.9e-13)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=13.83 s, 1 iters, t-(init.)=13.74 s
    t(norm)=0.655174, mflops=7.63156 (err=1.9e-13)
19. GSL DIT: elapsed time t=14.12 s, 1 iters, t-(init.)=14.01 s
    t(norm)=0.668049, mflops=7.48448 (err=1.9e-13)
20. GSL DIF: elapsed time t=15.92 s, 1 iters, t-(init.)=15.84 s
    t(norm)=0.75531, mflops=6.6198 (err=1.9e-13)
21. Skipping fft (Krukar can't handle N > 4096).
22. Skipping fft (Mayer (Buneman) can't handle N > 2^19).
23. Mayer (simple): elapsed time t=9.94 s, 1 iters, t-(init.)=9.84 s
    t(norm)=0.469208, mflops=10.6563
24. Mayer (lookup): elapsed time t=11.08 s, 1 iters, t-(init.)=11 s
    t(norm)=0.524521, mflops=9.53251 (err=1.9e-13)
25. Monro: elapsed time t=21.11 s, 1 iters, t-(init.)=21.02 s
    t(norm)=1.00231, mflops=4.98847 (err=2.0e-07)
26. NAPACK (f2c): elapsed time t=13.14 s, 1 iters, t-(init.)=13.02 s
    t(norm)=0.620842, mflops=8.05358 (err=1.5e-11)
27. Nielsen: elapsed time t=12.21 s, 1 iters, t-(init.)=12.13 s
    t(norm)=0.578403, mflops=8.64448 (err=8.1e-12)
28. NR (C): elapsed time t=16.4 s, 1 iters, t-(init.)=16.32 s
    t(norm)=0.778198, mflops=6.4251 (err=1.9e-13)
29. NR (F): elapsed time t=14.57 s, 1 iters, t-(init.)=14.47 s
    t(norm)=0.689983, mflops=7.24655 (err=1.9e-13)
30. Ooura (C): elapsed time t=4.65 s, 1 iters, t-(init.)=4.56 s
    t(norm)=0.217438, mflops=22.9951 (err=1.9e-13)
31. Ooura (F): elapsed time t=4.94 s, 1 iters, t-(init.)=4.84 s
    t(norm)=0.230789, mflops=21.6648 (err=1.9e-13)
32. Ransom: elapsed time t=1.81 s, 1 iters, t-(init.)=1.73 s
    t(norm)=0.0824928, mflops=60.6113 (err=1.9e-13)
33. SCIPORT: elapsed time t=11.95 s, 1 iters, t-(init.)=11.87 s
    t(norm)=0.566006, mflops=8.83383 (err=1.9e-13)
34. Singleton: elapsed time t=8.59 s, 1 iters, t-(init.)=8.51 s
    t(norm)=0.405788, mflops=12.3217 (err=2.6e-13)
35. Singleton (f2c): elapsed time t=8.74 s, 1 iters, t-(init.)=8.66 s
    t(norm)=0.412941, mflops=12.1083 (err=2.6e-13)
36. Sorensen: elapsed time t=10.36 s, 1 iters, t-(init.)=10.27 s
    t(norm)=0.489712, mflops=10.2101 (err=1.9e-13)
37. Sorensen DIT: elapsed time t=21.24 s, 1 iters, t-(init.)=21.16 s
    t(norm)=1.00899, mflops=4.95546 (err=1.9e-13)
38. Temperton: elapsed time t=10.87 s, 1 iters, t-(init.)=10.78 s
    t(norm)=0.51403, mflops=9.72705 (err=2.3e-07)
39. Temperton (f2c): elapsed time t=13.25 s, 1 iters, t-(init.)=13.14 s
    t(norm)=0.626564, mflops=7.98003 (err=1.9e-13)
40. Valkenburg: elapsed time t=29.81 s, 1 iters, t-(init.)=29.73 s
    t(norm)=1.41764, mflops=3.527 (err=1.9e-13)
41. SCSL: elapsed time t=1.19 s, 1 iters, t-(init.)=1.1 s
    t(norm)=0.0524521, mflops=95.3251 (err=1.9e-13)
42. SGIMATH: elapsed time t=1.37 s, 1 iters, t-(init.)=1.29 s
    t(norm)=0.061512, mflops=81.285 (err=1.9e-13)

Top mflops for N=1048576 = 95.3251
Normalized results and averages for N=1048576:
  fft 0: mflops = 5.9782 (norm. = 0.0627138), norm. avg. (of 20) = 0.334611
  fft 1: mflops = 5.9782 (norm. = 0.0627138), norm. avg. (of 20) = 0.335305
  fft 2: mflops = 4.84779 (norm. = 0.0508553), norm. avg. (of 20) = 0.245861
  fft 3: mflops = 26.3461 (norm. = 0.276382), norm. avg. (of 20) = 0.18302
  fft 4: mflops = 3.62829 (norm. = 0.0380623), norm. avg. (of 20) = 0.187922
  fft 5: mflops = 16.6177 (norm. = 0.174326), norm. avg. (of 20) = 0.132027
  fft 6: mflops = 14.3641 (norm. = 0.150685), norm. avg. (of 20) = 0.269032
  fft 7: mflops = 11.9974 (norm. = 0.125858), norm. avg. (of 20) = 0.199069
  fft 8: mflops = 4.6728 (norm. = 0.0490196), norm. avg. (of 20) = 0.197328
  fft 9: mflops = -1 (norm. = -0.0104904), norm. avg. (of 19) = 0.643315
  fft 10: mflops = -1 (norm. = -0.0104904), norm. avg. (of 19) = 0.657007
  fft 11: mflops = 5.27188 (norm. = 0.0553042), norm. avg. (of 19) = 0.210523
  fft 12: mflops = 7.6094 (norm. = 0.0798258), norm. avg. (of 20) = 0.325356
  fft 13: mflops = 8.5668 (norm. = 0.0898693), norm. avg. (of 20) = 0.127161
  fft 14: mflops = 27.3067 (norm. = 0.286458), norm. avg. (of 20) = 0.656019
  fft 15: mflops = 27.0252 (norm. = 0.283505), norm. avg. (of 20) = 0.615598
  fft 16: mflops = 13.2731 (norm. = 0.139241), norm. avg. (of 20) = 0.593512
  fft 17: mflops = -1 (norm. = -0.0104904), norm. avg. (of 17) = 0.548242
  fft 18: mflops = 7.63156 (norm. = 0.0800582), norm. avg. (of 20) = 0.258376
  fft 19: mflops = 7.48448 (norm. = 0.0785153), norm. avg. (of 20) = 0.190538
  fft 20: mflops = 6.6198 (norm. = 0.0694444), norm. avg. (of 20) = 0.191226
  fft 21: mflops = -1 (norm. = -0.0104904), norm. avg. (of 12) = 0.574086
  fft 22: mflops = -1 (norm. = -0.0104904), norm. avg. (of 18) = 0.312907
  fft 23: mflops = 10.6563 (norm. = 0.111789), norm. avg. (of 19) = 0.350885
  fft 24: mflops = 9.53251 (norm. = 0.1), norm. avg. (of 19) = 0.330103
  fft 25: mflops = 4.98847 (norm. = 0.0523311), norm. avg. (of 19) = 0.143328
  fft 26: mflops = 8.05358 (norm. = 0.0844854), norm. avg. (of 20) = 0.140532
  fft 27: mflops = 8.64448 (norm. = 0.0906843), norm. avg. (of 20) = 0.142231
  fft 28: mflops = 6.4251 (norm. = 0.067402), norm. avg. (of 20) = 0.193496
  fft 29: mflops = 7.24655 (norm. = 0.0760194), norm. avg. (of 20) = 0.183801
  fft 30: mflops = 22.9951 (norm. = 0.241228), norm. avg. (of 20) = 0.592786
  fft 31: mflops = 21.6648 (norm. = 0.227273), norm. avg. (of 20) = 0.530025
  fft 32: mflops = 60.6113 (norm. = 0.635838), norm. avg. (of 19) = 0.285974
  fft 33: mflops = 8.83383 (norm. = 0.0926706), norm. avg. (of 19) = 0.260317
  fft 34: mflops = 12.3217 (norm. = 0.12926), norm. avg. (of 20) = 0.325778
  fft 35: mflops = 12.1083 (norm. = 0.127021), norm. avg. (of 20) = 0.329426
  fft 36: mflops = 10.2101 (norm. = 0.107108), norm. avg. (of 20) = 0.334499
  fft 37: mflops = 4.95546 (norm. = 0.0519849), norm. avg. (of 20) = 0.188754
  fft 38: mflops = 9.72705 (norm. = 0.102041), norm. avg. (of 20) = 0.165887
  fft 39: mflops = 7.98003 (norm. = 0.0837139), norm. avg. (of 20) = 0.157562
  fft 40: mflops = 3.527 (norm. = 0.0369997), norm. avg. (of 20) = 0.0368356
  fft 41: mflops = 95.3251 (norm. = 1), norm. avg. (of 20) = 0.817819
  fft 42: mflops = 81.285 (norm. = 0.852713), norm. avg. (of 20) = 0.818962

Benchmarking for array size = 2097152 (power of 2):
0. Arndt DIF: elapsed time t=35.22 s, 1 iters, t-(init.)=35.05 s
    t(norm)=0.795864, mflops=6.28248 (err=2.7e-13)
1. Arndt DIT: elapsed time t=35.14 s, 1 iters, t-(init.)=34.97 s
    t(norm)=0.794047, mflops=6.29685 (err=2.7e-13)
2. Arndt Split-Radix: elapsed time t=46.29 s, 1 iters, t-(init.)=46.1 s
    t(norm)=1.04677, mflops=4.77659 (err=2.7e-13)
3. Arndt 4-step: elapsed time t=13.06 s, 1 iters, t-(init.)=12.88 s
    t(norm)=0.29246, mflops=17.0963 (err=2.7e-13)
4. Bailey: elapsed time t=63.09 s, 1 iters, t-(init.)=62.91 s
    t(norm)=1.42847, mflops=3.50025 (err=2.7e-13)
5. Beauregard: elapsed time t=14.23 s, 1 iters, t-(init.)=14.06 s
    t(norm)=0.319254, mflops=15.6615 (err=2.7e-13)
6. Skipping fft (Bergland doesn't work for N > 2^20).
7. Brenner: elapsed time t=22.48 s, 1 iters, t-(init.)=22.31 s
    t(norm)=0.506583, mflops=9.87006 (err=2.7e-13)
8. Burrus: elapsed time t=47.2 s, 1 iters, t-(init.)=47.03 s
    t(norm)=1.06789, mflops=4.68214 (err=2.7e-13)
9. Skipping fft (this transform size is too big for CWP).
10. Skipping fft (this transform size is too big for CWP).
11. Edelblute: elapsed time t=43.72 s, 1 iters, t-(init.)=43.55 s
    t(norm)=0.988869, mflops=5.05628 (err=2.7e-13)
12. FFTPACK: elapsed time t=35.51 s, 1 iters, t-(init.)=35.24 s
    t(norm)=0.800178, mflops=6.24861 (err=2.7e-13)
13. FFTPACK (f2c): elapsed time t=33.02 s, 1 iters, t-(init.)=32.85 s
    t(norm)=0.74591, mflops=6.70323 (err=2.7e-13)

FFTW_MEASURE plan: (cost = 7.940000e+00)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 64
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 16

14. FFTW: elapsed time t=8.49 s, 1 iters, t-(init.)=8.32 s
    t(norm)=0.188918, mflops=26.4665 (err=2.7e-13)

FFTW_ESTIMATE plan: (cost = 2.390753e+07)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

15. FFTW_ESTIMATE: elapsed time t=9.26 s, 1 iters, t-(init.)=9.09 s
    t(norm)=0.206402, mflops=24.2245 (err=2.7e-13)
16. Frigo-old: elapsed time t=14.63 s, 1 iters, t-(init.)=14.46 s
    t(norm)=0.328336, mflops=15.2283 (err=2.7e-13)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=29.02 s, 1 iters, t-(init.)=28.85 s
    t(norm)=0.655083, mflops=7.63262 (err=2.7e-13)
19. GSL DIT: elapsed time t=33.22 s, 1 iters, t-(init.)=33.05 s
    t(norm)=0.750451, mflops=6.66266 (err=2.7e-13)
20. GSL DIF: elapsed time t=33.88 s, 1 iters, t-(init.)=33.71 s
    t(norm)=0.765437, mflops=6.53221 (err=2.7e-13)
21. Skipping fft (Krukar can't handle N > 4096).
22. Skipping fft (Mayer (Buneman) can't handle N > 2^19).
23. Mayer (simple): elapsed time t=27.29 s, 1 iters, t-(init.)=27.12 s
    t(norm)=0.615801, mflops=8.1195
24. Mayer (lookup): elapsed time t=28.97 s, 1 iters, t-(init.)=28.79 s
    t(norm)=0.653721, mflops=7.64852 (err=2.7e-13)
25. Skipping fft (Monro can't handle N > 2^20).
26. NAPACK (f2c): elapsed time t=28.6 s, 1 iters, t-(init.)=28.41 s
    t(norm)=0.645093, mflops=7.75083 (err=1.9e-11)
27. Nielsen: elapsed time t=25.72 s, 1 iters, t-(init.)=25.55 s
    t(norm)=0.580152, mflops=8.61843 (err=6.3e-12)
28. NR (C): elapsed time t=34.25 s, 1 iters, t-(init.)=34.04 s
    t(norm)=0.77293, mflops=6.46889 (err=2.7e-13)
29. NR (F): elapsed time t=35.55 s, 1 iters, t-(init.)=35.38 s
    t(norm)=0.803357, mflops=6.22388 (err=2.7e-13)
30. Ooura (C): elapsed time t=9.21 s, 1 iters, t-(init.)=9.04 s
    t(norm)=0.205267, mflops=24.3585 (err=2.7e-13)
31. Ooura (F): elapsed time t=9.52 s, 1 iters, t-(init.)=9.33 s
    t(norm)=0.211852, mflops=23.6014 (err=2.7e-13)
32. Ransom: elapsed time t=5.34 s, 1 iters, t-(init.)=5.08 s
    t(norm)=0.115349, mflops=43.3466 (err=2.7e-13)
33. SCIPORT: elapsed time t=26.75 s, 1 iters, t-(init.)=26.58 s
    t(norm)=0.60354, mflops=8.28446 (err=2.7e-13)
34. Singleton: elapsed time t=24.61 s, 1 iters, t-(init.)=24.44 s
    t(norm)=0.554948, mflops=9.00986 (err=3.7e-13)
35. Singleton (f2c): elapsed time t=22.09 s, 1 iters, t-(init.)=21.91 s
    t(norm)=0.4975, mflops=10.0502 (err=3.7e-13)
36. Sorensen: elapsed time t=27.25 s, 1 iters, t-(init.)=27.03 s
    t(norm)=0.613758, mflops=8.14654 (err=2.7e-13)
37. Sorensen DIT: elapsed time t=52.27 s, 1 iters, t-(init.)=52.1 s
    t(norm)=1.18301, mflops=4.22651 (err=2.7e-13)
38. Temperton: elapsed time t=28.14 s, 1 iters, t-(init.)=27.88 s
    t(norm)=0.633058, mflops=7.89817 (err=2.4e-07)
39. Temperton (f2c): elapsed time t=29.28 s, 1 iters, t-(init.)=29.11 s
    t(norm)=0.660987, mflops=7.56444 (err=2.7e-13)
40. Valkenburg: elapsed time t=63.52 s, 1 iters, t-(init.)=63.35 s
    t(norm)=1.43846, mflops=3.47594 (err=2.7e-13)
41. SCSL: elapsed time t=2.52 s, 1 iters, t-(init.)=2.34 s
    t(norm)=0.0531333, mflops=94.103 (err=2.7e-13)
42. SGIMATH: elapsed time t=2.85 s, 1 iters, t-(init.)=2.68 s
    t(norm)=0.0608535, mflops=82.1645 (err=2.7e-13)

Top mflops for N=2097152 = 94.103
Normalized results and averages for N=2097152:
  fft 0: mflops = 6.28248 (norm. = 0.0667618), norm. avg. (of 21) = 0.321856
  fft 1: mflops = 6.29685 (norm. = 0.0669145), norm. avg. (of 21) = 0.322525
  fft 2: mflops = 4.77659 (norm. = 0.0507592), norm. avg. (of 21) = 0.236571
  fft 3: mflops = 17.0963 (norm. = 0.181677), norm. avg. (of 21) = 0.182956
  fft 4: mflops = 3.50025 (norm. = 0.037196), norm. avg. (of 21) = 0.180745
  fft 5: mflops = 15.6615 (norm. = 0.16643), norm. avg. (of 21) = 0.133665
  fft 6: mflops = -1 (norm. = -0.0106267), norm. avg. (of 20) = 0.269032
  fft 7: mflops = 9.87006 (norm. = 0.104886), norm. avg. (of 21) = 0.194585
  fft 8: mflops = 4.68214 (norm. = 0.0497555), norm. avg. (of 21) = 0.1903
  fft 9: mflops = -1 (norm. = -0.0106267), norm. avg. (of 19) = 0.643315
  fft 10: mflops = -1 (norm. = -0.0106267), norm. avg. (of 19) = 0.657007
  fft 11: mflops = 5.05628 (norm. = 0.0537313), norm. avg. (of 20) = 0.202683
  fft 12: mflops = 6.24861 (norm. = 0.0664018), norm. avg. (of 21) = 0.313025
  fft 13: mflops = 6.70323 (norm. = 0.0712329), norm. avg. (of 21) = 0.124498
  fft 14: mflops = 26.4665 (norm. = 0.28125), norm. avg. (of 21) = 0.638173
  fft 15: mflops = 24.2245 (norm. = 0.257426), norm. avg. (of 21) = 0.598542
  fft 16: mflops = 15.2283 (norm. = 0.161826), norm. avg. (of 21) = 0.572956
  fft 17: mflops = -1 (norm. = -0.0106267), norm. avg. (of 17) = 0.548242
  fft 18: mflops = 7.63262 (norm. = 0.0811092), norm. avg. (of 21) = 0.249935
  fft 19: mflops = 6.66266 (norm. = 0.0708018), norm. avg. (of 21) = 0.184837
  fft 20: mflops = 6.53221 (norm. = 0.0694156), norm. avg. (of 21) = 0.185426
  fft 21: mflops = -1 (norm. = -0.0106267), norm. avg. (of 12) = 0.574086
  fft 22: mflops = -1 (norm. = -0.0106267), norm. avg. (of 18) = 0.312907
  fft 23: mflops = 8.1195 (norm. = 0.0862832), norm. avg. (of 20) = 0.337655
  fft 24: mflops = 7.64852 (norm. = 0.0812782), norm. avg. (of 20) = 0.317661
  fft 25: mflops = -1 (norm. = -0.0106267), norm. avg. (of 19) = 0.143328
  fft 26: mflops = 7.75083 (norm. = 0.0823654), norm. avg. (of 21) = 0.137762
  fft 27: mflops = 8.61843 (norm. = 0.0915851), norm. avg. (of 21) = 0.13982
  fft 28: mflops = 6.46889 (norm. = 0.0687427), norm. avg. (of 21) = 0.187556
  fft 29: mflops = 6.22388 (norm. = 0.0661391), norm. avg. (of 21) = 0.178198
  fft 30: mflops = 24.3585 (norm. = 0.25885), norm. avg. (of 21) = 0.576884
  fft 31: mflops = 23.6014 (norm. = 0.250804), norm. avg. (of 21) = 0.516728
  fft 32: mflops = 43.3466 (norm. = 0.46063), norm. avg. (of 20) = 0.294707
  fft 33: mflops = 8.28446 (norm. = 0.0880361), norm. avg. (of 20) = 0.251703
  fft 34: mflops = 9.00986 (norm. = 0.0957447), norm. avg. (of 21) = 0.314825
  fft 35: mflops = 10.0502 (norm. = 0.106801), norm. avg. (of 21) = 0.318825
  fft 36: mflops = 8.14654 (norm. = 0.0865705), norm. avg. (of 21) = 0.322693
  fft 37: mflops = 4.22651 (norm. = 0.0449136), norm. avg. (of 21) = 0.181904
  fft 38: mflops = 7.89817 (norm. = 0.0839311), norm. avg. (of 21) = 0.161984
  fft 39: mflops = 7.56444 (norm. = 0.0803847), norm. avg. (of 21) = 0.153887
  fft 40: mflops = 3.47594 (norm. = 0.0369376), norm. avg. (of 21) = 0.0368404
  fft 41: mflops = 94.103 (norm. = 1), norm. avg. (of 21) = 0.826495
  fft 42: mflops = 82.1645 (norm. = 0.873134), norm. avg. (of 21) = 0.821541
------------------------------------------------------
@@@@ bench.1d.np2.log
FFT Benchmark Program by M. Frigo and S. G. Johnson.
           email: fftw@theory.lcs.mit.edu
             www: http://theory.lcs.mit.edu/~fftw

Using FFTW V1.1 ($Id: executor.c,v 1.34 1997/04/30 13:15:56 fftw Exp $)

Maximum memory to use: 200 MB
Factors to allow: anything but 2
Using double precision.

Measuring speed of 1D transforms:

Benchmarking for sizes:  6 (0.000686646 MB)  9 (0.000915527 MB)  12 (0.00114441 MB)  15 (0.00137329 MB)  18 (0.00180054 MB)  24 (0.0022583 MB)  36 (0.0032959 MB)  80 (0.00738525 MB)  108 (0.00994873 MB)  210 (0.0192261 MB)  504 (0.0461426 MB)  1000 (0.0916748 MB)  1960 (0.179749 MB)  4725 (0.437393 MB)  10368 (0.960205 MB)  27000 (2.48291 MB)  75600 (6.98975 MB)  165375 (15.3664 MB)  362880 (38.6829 MB)
Maximum array size = 720720

Benchmarking FFTs:
0. Brenner
1. CWP (min N)
2. CWP (best N)
3. FFTPACK
4. FFTPACK (f2c)
5. FFTW
6. FFTW_ESTIMATE
7. Frigo-old
8. GSL
9. NAPACK (f2c)
10. Nielsen
11. Singleton
12. Singleton (f2c)
13. Temperton
14. Temperton (f2c)
15. Valkenburg
16. SCSL
17. SGIMATH


Computing normalized averages (18 transforms).

Benchmarking for array size = 6:
0. Skipping fft (Brenner has a bug for N=3*2^m).
1. CWP (min N): elapsed time t=1.24 s, 262144 iters, t-(init.)=1.21 s
    t(norm)=0.297605, mflops=16.8008
2. CWP (best N) (N=15): elapsed time t=1.6 s, 262144 iters, t-(init.)=1.55 s
    t(norm)=0.381229, mflops=13.1155
3. FFTPACK: elapsed time t=1.2 s, 524288 iters, t-(init.)=1.15 s
    t(norm)=0.141424, mflops=35.3547 (err=1.4e-16)
4. FFTPACK (f2c): elapsed time t=1.12 s, 262144 iters, t-(init.)=1.09 s
    t(norm)=0.26809, mflops=18.6504 (err=1.8e-16)

FFTW_MEASURE plan: (cost = 7.057190e-07)
FFTW_NOTW 6

5. FFTW: elapsed time t=1.48 s, 2097152 iters, t-(init.)=1.28 s
    t(norm)=0.0393527, mflops=127.056 (err=1.1e-16)

FFTW_ESTIMATE plan: (cost = 4.116000e+02)
FFTW_NOTW 6

6. FFTW_ESTIMATE: elapsed time t=1.57 s, 2097152 iters, t-(init.)=1.37 s
    t(norm)=0.0421197, mflops=118.709 (err=1.1e-16)
7. Frigo-old: elapsed time t=1.08 s, 262144 iters, t-(init.)=1.06 s
    t(norm)=0.260712, mflops=19.1783 (err=3.3e-16)
8. GSL: elapsed time t=1.28 s, 524288 iters, t-(init.)=1.22 s
    t(norm)=0.150032, mflops=33.3262 (err=1.2e-16)
9. NAPACK (f2c): elapsed time t=1.18 s, 262144 iters, t-(init.)=1.16 s
    t(norm)=0.285307, mflops=17.525 (err=4.7e-16)
10. Nielsen: elapsed time t=1.36 s, 131072 iters, t-(init.)=1.34 s
    t(norm)=0.659158, mflops=7.58544 (err=2.7e-16)
11. Singleton: elapsed time t=1.33 s, 262144 iters, t-(init.)=1.3 s
    t(norm)=0.319741, mflops=15.6377 (err=1.0e-16)
12. Singleton (f2c): elapsed time t=1.37 s, 262144 iters, t-(init.)=1.34 s
    t(norm)=0.329579, mflops=15.1709 (err=1.0e-16)
13. Temperton: elapsed time t=1.53 s, 262144 iters, t-(init.)=1.51 s
    t(norm)=0.371391, mflops=13.4629 (err=3.7e-16)
14. Temperton (f2c): elapsed time t=1.18 s, 131072 iters, t-(init.)=1.17 s
    t(norm)=0.575533, mflops=8.68759 (err=1.0e-16)
15. Valkenburg: elapsed time t=1.4 s, 131072 iters, t-(init.)=1.39 s
    t(norm)=0.683753, mflops=7.31258 (err=3.0e-16)
16. SCSL: elapsed time t=1.13 s, 524288 iters, t-(init.)=1.08 s
    t(norm)=0.132815, mflops=37.6462 (err=1.8e-16)
17. SGIMATH: elapsed time t=1.03 s, 524288 iters, t-(init.)=0.98 s
    t(norm)=0.120518, mflops=41.4877 (err=1.8e-16)

Top mflops for N=6 = 127.056
Normalized results and averages for N=6:
  fft 0: mflops = -1 (norm. = -0.00787054), norm. avg. (of 0) = -1
  fft 1: mflops = 16.8008 (norm. = 0.132231), norm. avg. (of 1) = 0.132231
  fft 2: mflops = 13.1155 (norm. = 0.103226), norm. avg. (of 1) = 0.103226
  fft 3: mflops = 35.3547 (norm. = 0.278261), norm. avg. (of 1) = 0.278261
  fft 4: mflops = 18.6504 (norm. = 0.146789), norm. avg. (of 1) = 0.146789
  fft 5: mflops = 127.056 (norm. = 1), norm. avg. (of 1) = 1
  fft 6: mflops = 118.709 (norm. = 0.934307), norm. avg. (of 1) = 0.934307
  fft 7: mflops = 19.1783 (norm. = 0.150943), norm. avg. (of 1) = 0.150943
  fft 8: mflops = 33.3262 (norm. = 0.262295), norm. avg. (of 1) = 0.262295
  fft 9: mflops = 17.525 (norm. = 0.137931), norm. avg. (of 1) = 0.137931
  fft 10: mflops = 7.58544 (norm. = 0.0597015), norm. avg. (of 1) = 0.0597015
  fft 11: mflops = 15.6377 (norm. = 0.123077), norm. avg. (of 1) = 0.123077
  fft 12: mflops = 15.1709 (norm. = 0.119403), norm. avg. (of 1) = 0.119403
  fft 13: mflops = 13.4629 (norm. = 0.10596), norm. avg. (of 1) = 0.10596
  fft 14: mflops = 8.68759 (norm. = 0.0683761), norm. avg. (of 1) = 0.0683761
  fft 15: mflops = 7.31258 (norm. = 0.057554), norm. avg. (of 1) = 0.057554
  fft 16: mflops = 37.6462 (norm. = 0.296296), norm. avg. (of 1) = 0.296296
  fft 17: mflops = 41.4877 (norm. = 0.326531), norm. avg. (of 1) = 0.326531

Benchmarking for array size = 9:
0. Brenner: elapsed time t=1.54 s, 65536 iters, t-(init.)=1.53 s
    t(norm)=0.818314, mflops=6.11012 (err=3.6e-16)
1. CWP (min N): elapsed time t=1 s, 262144 iters, t-(init.)=0.98 s
    t(norm)=0.131037, mflops=38.1571
2. CWP (best N) (N=15): elapsed time t=1.59 s, 262144 iters, t-(init.)=1.54 s
    t(norm)=0.205916, mflops=24.2818
3. FFTPACK: elapsed time t=1.35 s, 524288 iters, t-(init.)=1.3 s
    t(norm)=0.0869124, mflops=57.5292 (err=1.5e-16)
4. FFTPACK (f2c): elapsed time t=1.6 s, 262144 iters, t-(init.)=1.57 s
    t(norm)=0.209927, mflops=23.8178 (err=2.5e-16)

FFTW_MEASURE plan: (cost = 9.918213e-07)
FFTW_NOTW 9

5. FFTW: elapsed time t=1.09 s, 1048576 iters, t-(init.)=0.98 s
    t(norm)=0.0327593, mflops=152.628 (err=1.4e-16)

FFTW_ESTIMATE plan: (cost = 4.851000e+02)
FFTW_NOTW 9

6. FFTW_ESTIMATE: elapsed time t=1.06 s, 1048576 iters, t-(init.)=0.95 s
    t(norm)=0.0317565, mflops=157.448 (err=1.4e-16)
7. Frigo-old: elapsed time t=1.09 s, 131072 iters, t-(init.)=1.07 s
    t(norm)=0.286142, mflops=17.4738 (err=3.5e-16)
8. GSL: elapsed time t=1.92 s, 524288 iters, t-(init.)=1.87 s
    t(norm)=0.12502, mflops=39.9935 (err=1.5e-16)
9. NAPACK (f2c): elapsed time t=1.54 s, 262144 iters, t-(init.)=1.51 s
    t(norm)=0.201904, mflops=24.7642 (err=6.2e-16)
10. Nielsen: elapsed time t=1.58 s, 131072 iters, t-(init.)=1.57 s
    t(norm)=0.419854, mflops=11.9089 (err=4.7e-16)
11. Singleton: elapsed time t=1.37 s, 262144 iters, t-(init.)=1.34 s
    t(norm)=0.179173, mflops=27.9059 (err=1.5e-16)
12. Singleton (f2c): elapsed time t=1.36 s, 262144 iters, t-(init.)=1.33 s
    t(norm)=0.177836, mflops=28.1158 (err=1.5e-16)
13. Temperton: elapsed time t=1.69 s, 262144 iters, t-(init.)=1.66 s
    t(norm)=0.221961, mflops=22.5265 (err=1.1e-08)
14. Temperton (f2c): elapsed time t=1.62 s, 131072 iters, t-(init.)=1.61 s
    t(norm)=0.430551, mflops=11.613 (err=1.5e-16)
15. Valkenburg: elapsed time t=1.25 s, 65536 iters, t-(init.)=1.24 s
    t(norm)=0.663209, mflops=7.5391 (err=3.1e-16)
16. SCSL: elapsed time t=1.32 s, 524288 iters, t-(init.)=1.27 s
    t(norm)=0.0849068, mflops=58.8881 (err=2.5e-16)
17. SGIMATH: elapsed time t=1.35 s, 524288 iters, t-(init.)=1.3 s
    t(norm)=0.0869124, mflops=57.5292 (err=2.5e-16)

Top mflops for N=9 = 157.448
Normalized results and averages for N=9:
  fft 0: mflops = 6.11012 (norm. = 0.0388072), norm. avg. (of 1) = 0.0388072
  fft 1: mflops = 38.1571 (norm. = 0.242347), norm. avg. (of 2) = 0.187289
  fft 2: mflops = 24.2818 (norm. = 0.154221), norm. avg. (of 2) = 0.128723
  fft 3: mflops = 57.5292 (norm. = 0.365385), norm. avg. (of 2) = 0.321823
  fft 4: mflops = 23.8178 (norm. = 0.151274), norm. avg. (of 2) = 0.149031
  fft 5: mflops = 152.628 (norm. = 0.969388), norm. avg. (of 2) = 0.984694
  fft 6: mflops = 157.448 (norm. = 1), norm. avg. (of 2) = 0.967153
  fft 7: mflops = 17.4738 (norm. = 0.110981), norm. avg. (of 2) = 0.130962
  fft 8: mflops = 39.9935 (norm. = 0.254011), norm. avg. (of 2) = 0.258153
  fft 9: mflops = 24.7642 (norm. = 0.157285), norm. avg. (of 2) = 0.147608
  fft 10: mflops = 11.9089 (norm. = 0.0756369), norm. avg. (of 2) = 0.0676692
  fft 11: mflops = 27.9059 (norm. = 0.177239), norm. avg. (of 2) = 0.150158
  fft 12: mflops = 28.1158 (norm. = 0.178571), norm. avg. (of 2) = 0.148987
  fft 13: mflops = 22.5265 (norm. = 0.143072), norm. avg. (of 2) = 0.124516
  fft 14: mflops = 11.613 (norm. = 0.0737578), norm. avg. (of 2) = 0.0710669
  fft 15: mflops = 7.5391 (norm. = 0.0478831), norm. avg. (of 2) = 0.0527185
  fft 16: mflops = 58.8881 (norm. = 0.374016), norm. avg. (of 2) = 0.335156
  fft 17: mflops = 57.5292 (norm. = 0.365385), norm. avg. (of 2) = 0.345958

Benchmarking for array size = 12:
0. Skipping fft (Brenner has a bug for N=3*2^m).
1. CWP (min N): elapsed time t=1.47 s, 262144 iters, t-(init.)=1.43 s
    t(norm)=0.126803, mflops=39.4312
2. CWP (best N) (N=15): elapsed time t=1.6 s, 262144 iters, t-(init.)=1.55 s
    t(norm)=0.137444, mflops=36.3784
3. FFTPACK: elapsed time t=1.5 s, 524288 iters, t-(init.)=1.42 s
    t(norm)=0.0629582, mflops=79.4177 (err=1.7e-16)
4. FFTPACK (f2c): elapsed time t=1.98 s, 262144 iters, t-(init.)=1.93 s
    t(norm)=0.17114, mflops=29.2158 (err=2.2e-16)

FFTW_MEASURE plan: (cost = 1.182556e-06)
FFTW_NOTW 12

5. FFTW: elapsed time t=1.18 s, 1048576 iters, t-(init.)=1.03 s
    t(norm)=0.0228334, mflops=218.977 (err=1.2e-16)

FFTW_ESTIMATE plan: (cost = 4.920000e+02)
FFTW_NOTW 12

6. FFTW_ESTIMATE: elapsed time t=1.26 s, 1048576 iters, t-(init.)=1.11 s
    t(norm)=0.0246069, mflops=203.195 (err=1.2e-16)
7. Frigo-old: elapsed time t=1 s, 131072 iters, t-(init.)=0.98 s
    t(norm)=0.1738, mflops=28.7687 (err=2.8e-16)
8. GSL: elapsed time t=1.96 s, 524288 iters, t-(init.)=1.89 s
    t(norm)=0.0837965, mflops=59.6683 (err=1.6e-16)
9. NAPACK (f2c): elapsed time t=1.1 s, 131072 iters, t-(init.)=1.08 s
    t(norm)=0.191535, mflops=26.1049 (err=5.5e-16)
10. Nielsen: elapsed time t=1.86 s, 131072 iters, t-(init.)=1.84 s
    t(norm)=0.326319, mflops=15.3224 (err=5.0e-16)
11. Singleton: elapsed time t=1.82 s, 262144 iters, t-(init.)=1.78 s
    t(norm)=0.157839, mflops=31.6779 (err=1.5e-16)
12. Singleton (f2c): elapsed time t=1.84 s, 262144 iters, t-(init.)=1.8 s
    t(norm)=0.159612, mflops=31.3259 (err=1.5e-16)
13. Temperton: elapsed time t=1.89 s, 262144 iters, t-(init.)=1.85 s
    t(norm)=0.164046, mflops=30.4792 (err=5.4e-16)
14. Temperton (f2c): elapsed time t=1.68 s, 131072 iters, t-(init.)=1.66 s
    t(norm)=0.294396, mflops=16.9839 (err=1.4e-16)
15. Valkenburg: elapsed time t=1.9 s, 65536 iters, t-(init.)=1.89 s
    t(norm)=0.670372, mflops=7.45854 (err=2.6e-16)
16. SCSL: elapsed time t=1.43 s, 524288 iters, t-(init.)=1.36 s
    t(norm)=0.060298, mflops=82.9214 (err=1.5e-16)
17. SGIMATH: elapsed time t=1.39 s, 524288 iters, t-(init.)=1.31 s
    t(norm)=0.0580812, mflops=86.0864 (err=1.5e-16)

Top mflops for N=12 = 218.977
Normalized results and averages for N=12:
  fft 0: mflops = -1 (norm. = -0.00456669), norm. avg. (of 1) = 0.0388072
  fft 1: mflops = 39.4312 (norm. = 0.18007), norm. avg. (of 3) = 0.184883
  fft 2: mflops = 36.3784 (norm. = 0.166129), norm. avg. (of 3) = 0.141192
  fft 3: mflops = 79.4177 (norm. = 0.362676), norm. avg. (of 3) = 0.335441
  fft 4: mflops = 29.2158 (norm. = 0.13342), norm. avg. (of 3) = 0.143828
  fft 5: mflops = 218.977 (norm. = 1), norm. avg. (of 3) = 0.989796
  fft 6: mflops = 203.195 (norm. = 0.927928), norm. avg. (of 3) = 0.954078
  fft 7: mflops = 28.7687 (norm. = 0.131378), norm. avg. (of 3) = 0.131101
  fft 8: mflops = 59.6683 (norm. = 0.272487), norm. avg. (of 3) = 0.262931
  fft 9: mflops = 26.1049 (norm. = 0.119213), norm. avg. (of 3) = 0.138143
  fft 10: mflops = 15.3224 (norm. = 0.0699728), norm. avg. (of 3) = 0.0684371
  fft 11: mflops = 31.6779 (norm. = 0.144663), norm. avg. (of 3) = 0.148326
  fft 12: mflops = 31.3259 (norm. = 0.143056), norm. avg. (of 3) = 0.14701
  fft 13: mflops = 30.4792 (norm. = 0.139189), norm. avg. (of 3) = 0.129407
  fft 14: mflops = 16.9839 (norm. = 0.0775602), norm. avg. (of 3) = 0.0732314
  fft 15: mflops = 7.45854 (norm. = 0.0340608), norm. avg. (of 3) = 0.0464993
  fft 16: mflops = 82.9214 (norm. = 0.378676), norm. avg. (of 3) = 0.349663
  fft 17: mflops = 86.0864 (norm. = 0.39313), norm. avg. (of 3) = 0.361682

Benchmarking for array size = 15:
0. Brenner: elapsed time t=1.04 s, 32768 iters, t-(init.)=1.04 s
    t(norm)=0.541578, mflops=9.23228 (err=3.6e-16)
1. CWP (min N): elapsed time t=1.53 s, 262144 iters, t-(init.)=1.48 s
    t(norm)=0.0963384, mflops=51.9004
2. CWP (best N): elapsed time t=1.59 s, 262144 iters, t-(init.)=1.53 s
    t(norm)=0.099593, mflops=50.2043
3. FFTPACK: elapsed time t=1.78 s, 524288 iters, t-(init.)=1.66 s
    t(norm)=0.0540276, mflops=92.5453 (err=3.0e-16)
4. FFTPACK (f2c): elapsed time t=1.23 s, 131072 iters, t-(init.)=1.2 s
    t(norm)=0.156224, mflops=32.0052 (err=4.5e-16)

FFTW_MEASURE plan: (cost = 2.059937e-06)
FFTW_NOTW 15

5. FFTW: elapsed time t=1.07 s, 524288 iters, t-(init.)=0.97 s
    t(norm)=0.0315703, mflops=158.376 (err=1.9e-16)

FFTW_ESTIMATE plan: (cost = 4.485000e+02)
FFTW_NOTW 15

6. FFTW_ESTIMATE: elapsed time t=1.06 s, 524288 iters, t-(init.)=0.95 s
    t(norm)=0.0309194, mflops=161.711 (err=1.9e-16)
7. Frigo-old: elapsed time t=1.64 s, 131072 iters, t-(init.)=1.61 s
    t(norm)=0.209601, mflops=23.8548 (err=3.9e-16)
8. GSL: elapsed time t=1.22 s, 262144 iters, t-(init.)=1.16 s
    t(norm)=0.0755085, mflops=66.2178 (err=2.3e-16)
9. NAPACK (f2c): elapsed time t=1.84 s, 131072 iters, t-(init.)=1.81 s
    t(norm)=0.235638, mflops=21.2189 (err=1.1e-15)
10. Nielsen: elapsed time t=1.09 s, 65536 iters, t-(init.)=1.08 s
    t(norm)=0.281204, mflops=17.7807 (err=4.7e-15)
11. Singleton: elapsed time t=1.18 s, 131072 iters, t-(init.)=1.15 s
    t(norm)=0.149715, mflops=33.3968 (err=2.9e-16)
12. Singleton (f2c): elapsed time t=1.21 s, 131072 iters, t-(init.)=1.18 s
    t(norm)=0.153621, mflops=32.5477 (err=2.9e-16)
13. Temperton: elapsed time t=1.89 s, 262144 iters, t-(init.)=1.84 s
    t(norm)=0.119772, mflops=41.746 (err=7.9e-16)
14. Temperton (f2c): elapsed time t=1.23 s, 65536 iters, t-(init.)=1.22 s
    t(norm)=0.317656, mflops=15.7403 (err=2.0e-16)
15. Valkenburg: elapsed time t=1.42 s, 32768 iters, t-(init.)=1.41 s
    t(norm)=0.734255, mflops=6.80963 (err=4.6e-16)
16. SCSL: elapsed time t=1.87 s, 524288 iters, t-(init.)=1.76 s
    t(norm)=0.0572823, mflops=87.287 (err=4.5e-16)
17. SGIMATH: elapsed time t=1.86 s, 524288 iters, t-(init.)=1.75 s
    t(norm)=0.0569568, mflops=87.7858 (err=4.5e-16)

Top mflops for N=15 = 161.711
Normalized results and averages for N=15:
  fft 0: mflops = 9.23228 (norm. = 0.0570913), norm. avg. (of 2) = 0.0479493
  fft 1: mflops = 51.9004 (norm. = 0.320946), norm. avg. (of 4) = 0.218899
  fft 2: mflops = 50.2043 (norm. = 0.310458), norm. avg. (of 4) = 0.183508
  fft 3: mflops = 92.5453 (norm. = 0.572289), norm. avg. (of 4) = 0.394653
  fft 4: mflops = 32.0052 (norm. = 0.197917), norm. avg. (of 4) = 0.15735
  fft 5: mflops = 158.376 (norm. = 0.979381), norm. avg. (of 4) = 0.987192
  fft 6: mflops = 161.711 (norm. = 1), norm. avg. (of 4) = 0.965559
  fft 7: mflops = 23.8548 (norm. = 0.147516), norm. avg. (of 4) = 0.135204
  fft 8: mflops = 66.2178 (norm. = 0.409483), norm. avg. (of 4) = 0.299569
  fft 9: mflops = 21.2189 (norm. = 0.131215), norm. avg. (of 4) = 0.136411
  fft 10: mflops = 17.7807 (norm. = 0.109954), norm. avg. (of 4) = 0.0788162
  fft 11: mflops = 33.3968 (norm. = 0.206522), norm. avg. (of 4) = 0.162875
  fft 12: mflops = 32.5477 (norm. = 0.201271), norm. avg. (of 4) = 0.160575
  fft 13: mflops = 41.746 (norm. = 0.258152), norm. avg. (of 4) = 0.161593
  fft 14: mflops = 15.7403 (norm. = 0.0973361), norm. avg. (of 4) = 0.0792575
  fft 15: mflops = 6.80963 (norm. = 0.0421099), norm. avg. (of 4) = 0.0454019
  fft 16: mflops = 87.287 (norm. = 0.539773), norm. avg. (of 4) = 0.39719
  fft 17: mflops = 87.7858 (norm. = 0.542857), norm. avg. (of 4) = 0.406976

Benchmarking for array size = 18:
0. Brenner: elapsed time t=1.22 s, 32768 iters, t-(init.)=1.21 s
    t(norm)=0.491966, mflops=10.1633 (err=4.1e-16)
1. CWP (min N): elapsed time t=1.81 s, 262144 iters, t-(init.)=1.75 s
    t(norm)=0.0889401, mflops=56.2176
2. CWP (best N) (N=28): elapsed time t=1.05 s, 131072 iters, t-(init.)=1.01 s
    t(norm)=0.102662, mflops=48.7034
3. FFTPACK: elapsed time t=1.46 s, 262144 iters, t-(init.)=1.41 s
    t(norm)=0.0716603, mflops=69.7737 (err=2.6e-16)
4. FFTPACK (f2c): elapsed time t=1.18 s, 65536 iters, t-(init.)=1.16 s
    t(norm)=0.235818, mflops=21.2028 (err=2.9e-16)

FFTW_MEASURE plan: (cost = 2.975464e-06)
FFTW_TWIDDLE 2
FFTW_NOTW 9

5. FFTW: elapsed time t=1.53 s, 524288 iters, t-(init.)=1.42 s
    t(norm)=0.0360842, mflops=138.565 (err=2.2e-16)

FFTW_ESTIMATE plan: (cost = 1.168200e+03)
FFTW_TWIDDLE 2
FFTW_NOTW 9

6. FFTW_ESTIMATE: elapsed time t=1.55 s, 524288 iters, t-(init.)=1.44 s
    t(norm)=0.0365925, mflops=136.64 (err=2.2e-16)
7. Frigo-old: elapsed time t=1.2 s, 65536 iters, t-(init.)=1.19 s
    t(norm)=0.241917, mflops=20.6683 (err=4.7e-16)
8. GSL: elapsed time t=1.36 s, 262144 iters, t-(init.)=1.3 s
    t(norm)=0.0660698, mflops=75.6776 (err=2.3e-16)
9. NAPACK (f2c): elapsed time t=1.48 s, 131072 iters, t-(init.)=1.45 s
    t(norm)=0.147386, mflops=33.9244 (err=7.8e-16)
10. Nielsen: elapsed time t=1.88 s, 65536 iters, t-(init.)=1.87 s
    t(norm)=0.380155, mflops=13.1525 (err=6.6e-16)
11. Singleton: elapsed time t=1.17 s, 131072 iters, t-(init.)=1.14 s
    t(norm)=0.115876, mflops=43.1495 (err=2.1e-16)
12. Singleton (f2c): elapsed time t=1.16 s, 131072 iters, t-(init.)=1.13 s
    t(norm)=0.11486, mflops=43.5314 (err=2.1e-16)
13. Temperton: elapsed time t=1.51 s, 131072 iters, t-(init.)=1.48 s
    t(norm)=0.150436, mflops=33.2368 (err=2.7e-08)
14. Temperton (f2c): elapsed time t=1.59 s, 65536 iters, t-(init.)=1.58 s
    t(norm)=0.321201, mflops=15.5666 (err=2.9e-16)
15. Valkenburg: elapsed time t=1.61 s, 32768 iters, t-(init.)=1.6 s
    t(norm)=0.650533, mflops=7.68601 (err=4.8e-16)
16. SCSL: elapsed time t=1.16 s, 262144 iters, t-(init.)=1.1 s
    t(norm)=0.0559052, mflops=89.4372 (err=2.9e-16)
17. SGIMATH: elapsed time t=1.11 s, 262144 iters, t-(init.)=1.06 s
    t(norm)=0.0538723, mflops=92.8121 (err=2.9e-16)

Top mflops for N=18 = 138.565
Normalized results and averages for N=18:
  fft 0: mflops = 10.1633 (norm. = 0.0733471), norm. avg. (of 3) = 0.0564152
  fft 1: mflops = 56.2176 (norm. = 0.405714), norm. avg. (of 5) = 0.256262
  fft 2: mflops = 48.7034 (norm. = 0.351485), norm. avg. (of 5) = 0.217104
  fft 3: mflops = 69.7737 (norm. = 0.503546), norm. avg. (of 5) = 0.416431
  fft 4: mflops = 21.2028 (norm. = 0.153017), norm. avg. (of 5) = 0.156483
  fft 5: mflops = 138.565 (norm. = 1), norm. avg. (of 5) = 0.989754
  fft 6: mflops = 136.64 (norm. = 0.986111), norm. avg. (of 5) = 0.969669
  fft 7: mflops = 20.6683 (norm. = 0.14916), norm. avg. (of 5) = 0.137995
  fft 8: mflops = 75.6776 (norm. = 0.546154), norm. avg. (of 5) = 0.348886
  fft 9: mflops = 33.9244 (norm. = 0.244828), norm. avg. (of 5) = 0.158094
  fft 10: mflops = 13.1525 (norm. = 0.0949198), norm. avg. (of 5) = 0.082037
  fft 11: mflops = 43.1495 (norm. = 0.311404), norm. avg. (of 5) = 0.192581
  fft 12: mflops = 43.5314 (norm. = 0.314159), norm. avg. (of 5) = 0.191292
  fft 13: mflops = 33.2368 (norm. = 0.239865), norm. avg. (of 5) = 0.177248
  fft 14: mflops = 15.5666 (norm. = 0.112342), norm. avg. (of 5) = 0.0858744
  fft 15: mflops = 7.68601 (norm. = 0.0554687), norm. avg. (of 5) = 0.0474153
  fft 16: mflops = 89.4372 (norm. = 0.645455), norm. avg. (of 5) = 0.446843
  fft 17: mflops = 92.8121 (norm. = 0.669811), norm. avg. (of 5) = 0.459543

Benchmarking for array size = 24:
0. Skipping fft (Brenner has a bug for N=3*2^m).
1. CWP (min N): elapsed time t=1.72 s, 262144 iters, t-(init.)=1.65 s
    t(norm)=0.0572001, mflops=87.4124
2. CWP (best N) (N=28): elapsed time t=1.05 s, 131072 iters, t-(init.)=1.01 s
    t(norm)=0.0700268, mflops=71.4012
3. FFTPACK: elapsed time t=1.64 s, 262144 iters, t-(init.)=1.58 s
    t(norm)=0.0547735, mflops=91.2851 (err=2.3e-16)
4. FFTPACK (f2c): elapsed time t=1.48 s, 65536 iters, t-(init.)=1.46 s
    t(norm)=0.202454, mflops=24.697 (err=2.7e-16)

FFTW_MEASURE plan: (cost = 3.356934e-06)
FFTW_TWIDDLE 2
FFTW_NOTW 12

5. FFTW: elapsed time t=1.8 s, 524288 iters, t-(init.)=1.66 s
    t(norm)=0.0287734, mflops=173.772 (err=2.1e-16)

FFTW_ESTIMATE plan: (cost = 1.248000e+03)
FFTW_TWIDDLE 2
FFTW_NOTW 12

6. FFTW_ESTIMATE: elapsed time t=1.84 s, 524288 iters, t-(init.)=1.7 s
    t(norm)=0.0294667, mflops=169.683 (err=2.1e-16)
7. Frigo-old: elapsed time t=1.91 s, 131072 iters, t-(init.)=1.87 s
    t(norm)=0.129654, mflops=38.5643 (err=3.4e-16)
8. GSL: elapsed time t=1.57 s, 262144 iters, t-(init.)=1.5 s
    t(norm)=0.0520001, mflops=96.1536 (err=2.1e-16)
9. NAPACK (f2c): elapsed time t=1.01 s, 65536 iters, t-(init.)=0.99 s
    t(norm)=0.13728, mflops=36.4218 (err=8.0e-16)
10. Nielsen: elapsed time t=1.44 s, 65536 iters, t-(init.)=1.42 s
    t(norm)=0.196907, mflops=25.3927 (err=1.5e-15)
11. Singleton: elapsed time t=1.77 s, 131072 iters, t-(init.)=1.74 s
    t(norm)=0.12064, mflops=41.4455 (err=2.3e-16)
12. Singleton (f2c): elapsed time t=1.8 s, 131072 iters, t-(init.)=1.77 s
    t(norm)=0.12272, mflops=40.7431 (err=2.3e-16)
13. Temperton: elapsed time t=1.49 s, 131072 iters, t-(init.)=1.46 s
    t(norm)=0.101227, mflops=49.394 (err=4.5e-09)
14. Temperton (f2c): elapsed time t=1.58 s, 65536 iters, t-(init.)=1.56 s
    t(norm)=0.21632, mflops=23.1139 (err=2.8e-16)
15. Valkenburg: elapsed time t=1.19 s, 16384 iters, t-(init.)=1.19 s
    t(norm)=0.660055, mflops=7.57513 (err=4.8e-16)
16. SCSL: elapsed time t=1 s, 262144 iters, t-(init.)=0.93 s
    t(norm)=0.0322401, mflops=155.087 (err=2.6e-16)
17. SGIMATH: elapsed time t=1.01 s, 262144 iters, t-(init.)=0.94 s
    t(norm)=0.0325867, mflops=153.437 (err=2.6e-16)

Top mflops for N=24 = 173.772
Normalized results and averages for N=24:
  fft 0: mflops = -1 (norm. = -0.00575468), norm. avg. (of 3) = 0.0564152
  fft 1: mflops = 87.4124 (norm. = 0.50303), norm. avg. (of 6) = 0.29739
  fft 2: mflops = 71.4012 (norm. = 0.410891), norm. avg. (of 6) = 0.249402
  fft 3: mflops = 91.2851 (norm. = 0.525316), norm. avg. (of 6) = 0.434579
  fft 4: mflops = 24.697 (norm. = 0.142123), norm. avg. (of 6) = 0.15409
  fft 5: mflops = 173.772 (norm. = 1), norm. avg. (of 6) = 0.991462
  fft 6: mflops = 169.683 (norm. = 0.976471), norm. avg. (of 6) = 0.970803
  fft 7: mflops = 38.5643 (norm. = 0.221925), norm. avg. (of 6) = 0.151984
  fft 8: mflops = 96.1536 (norm. = 0.553333), norm. avg. (of 6) = 0.38296
  fft 9: mflops = 36.4218 (norm. = 0.209596), norm. avg. (of 6) = 0.166678
  fft 10: mflops = 25.3927 (norm. = 0.146127), norm. avg. (of 6) = 0.0927186
  fft 11: mflops = 41.4455 (norm. = 0.238506), norm. avg. (of 6) = 0.200235
  fft 12: mflops = 40.7431 (norm. = 0.234463), norm. avg. (of 6) = 0.198487
  fft 13: mflops = 49.394 (norm. = 0.284247), norm. avg. (of 6) = 0.195081
  fft 14: mflops = 23.1139 (norm. = 0.133013), norm. avg. (of 6) = 0.0937308
  fft 15: mflops = 7.57513 (norm. = 0.0435924), norm. avg. (of 6) = 0.0467782
  fft 16: mflops = 155.087 (norm. = 0.892473), norm. avg. (of 6) = 0.521115
  fft 17: mflops = 153.437 (norm. = 0.882979), norm. avg. (of 6) = 0.530115

Benchmarking for array size = 36:
0. Brenner: elapsed time t=1.23 s, 16384 iters, t-(init.)=1.23 s
    t(norm)=0.403365, mflops=12.3957 (err=5.3e-16)
1. CWP (min N): elapsed time t=1.16 s, 131072 iters, t-(init.)=1.11 s
    t(norm)=0.0455016, mflops=109.886
2. CWP (best N): elapsed time t=1.16 s, 131072 iters, t-(init.)=1.11 s
    t(norm)=0.0455016, mflops=109.886
3. FFTPACK: elapsed time t=1.09 s, 131072 iters, t-(init.)=1.04 s
    t(norm)=0.0426321, mflops=117.283 (err=4.0e-16)
4. FFTPACK (f2c): elapsed time t=1.15 s, 32768 iters, t-(init.)=1.14 s
    t(norm)=0.186925, mflops=26.7486 (err=4.8e-16)

FFTW_MEASURE plan: (cost = 5.645752e-06)
FFTW_TWIDDLE 3
FFTW_NOTW 12

5. FFTW: elapsed time t=1.48 s, 262144 iters, t-(init.)=1.38 s
    t(norm)=0.0282848, mflops=176.774 (err=4.0e-16)

FFTW_ESTIMATE plan: (cost = 1.803600e+03)
FFTW_TWIDDLE 3
FFTW_NOTW 12

6. FFTW_ESTIMATE: elapsed time t=1.48 s, 262144 iters, t-(init.)=1.38 s
    t(norm)=0.0282848, mflops=176.774 (err=4.0e-16)
7. Frigo-old: elapsed time t=1.2 s, 32768 iters, t-(init.)=1.18 s
    t(norm)=0.193484, mflops=25.8419 (err=5.6e-16)
8. GSL: elapsed time t=1.11 s, 131072 iters, t-(init.)=1.06 s
    t(norm)=0.0434519, mflops=115.07 (err=4.6e-16)
9. NAPACK (f2c): elapsed time t=1.41 s, 65536 iters, t-(init.)=1.39 s
    t(norm)=0.113959, mflops=43.8755 (err=1.8e-15)
10. Nielsen: elapsed time t=1.47 s, 32768 iters, t-(init.)=1.46 s
    t(norm)=0.239396, mflops=20.8859 (err=1.5e-15)
11. Singleton: elapsed time t=1.84 s, 131072 iters, t-(init.)=1.79 s
    t(norm)=0.0733764, mflops=68.1418 (err=4.7e-16)
12. Singleton (f2c): elapsed time t=1.87 s, 131072 iters, t-(init.)=1.81 s
    t(norm)=0.0741962, mflops=67.3889 (err=4.7e-16)
13. Temperton: elapsed time t=1.06 s, 65536 iters, t-(init.)=1.03 s
    t(norm)=0.0844443, mflops=59.2106 (err=5.1e-08)
14. Temperton (f2c): elapsed time t=1.33 s, 32768 iters, t-(init.)=1.32 s
    t(norm)=0.21644, mflops=23.1011 (err=3.8e-16)
15. Valkenburg: elapsed time t=1.95 s, 16384 iters, t-(init.)=1.94 s
    t(norm)=0.636202, mflops=7.85914 (err=6.1e-16)
16. SCSL: elapsed time t=1.7 s, 262144 iters, t-(init.)=1.6 s
    t(norm)=0.0327939, mflops=152.467 (err=4.3e-16)
17. SGIMATH: elapsed time t=1.7 s, 262144 iters, t-(init.)=1.59 s
    t(norm)=0.032589, mflops=153.426 (err=4.3e-16)

Top mflops for N=36 = 176.774
Normalized results and averages for N=36:
  fft 0: mflops = 12.3957 (norm. = 0.070122), norm. avg. (of 4) = 0.0598419
  fft 1: mflops = 109.886 (norm. = 0.621622), norm. avg. (of 7) = 0.343709
  fft 2: mflops = 109.886 (norm. = 0.621622), norm. avg. (of 7) = 0.302576
  fft 3: mflops = 117.283 (norm. = 0.663462), norm. avg. (of 7) = 0.467276
  fft 4: mflops = 26.7486 (norm. = 0.151316), norm. avg. (of 7) = 0.153694
  fft 5: mflops = 176.774 (norm. = 1), norm. avg. (of 7) = 0.992681
  fft 6: mflops = 176.774 (norm. = 1), norm. avg. (of 7) = 0.974974
  fft 7: mflops = 25.8419 (norm. = 0.146186), norm. avg. (of 7) = 0.151156
  fft 8: mflops = 115.07 (norm. = 0.650943), norm. avg. (of 7) = 0.421244
  fft 9: mflops = 43.8755 (norm. = 0.248201), norm. avg. (of 7) = 0.178324
  fft 10: mflops = 20.8859 (norm. = 0.118151), norm. avg. (of 7) = 0.0963517
  fft 11: mflops = 68.1418 (norm. = 0.385475), norm. avg. (of 7) = 0.226698
  fft 12: mflops = 67.3889 (norm. = 0.381215), norm. avg. (of 7) = 0.224591
  fft 13: mflops = 59.2106 (norm. = 0.334951), norm. avg. (of 7) = 0.215062
  fft 14: mflops = 23.1011 (norm. = 0.130682), norm. avg. (of 7) = 0.0990095
  fft 15: mflops = 7.85914 (norm. = 0.0444588), norm. avg. (of 7) = 0.0464468
  fft 16: mflops = 152.467 (norm. = 0.8625), norm. avg. (of 7) = 0.569884
  fft 17: mflops = 153.426 (norm. = 0.867925), norm. avg. (of 7) = 0.578374

Benchmarking for array size = 80:
0. Brenner: elapsed time t=1.02 s, 8192 iters, t-(init.)=1.01 s
    t(norm)=0.243777, mflops=20.5106 (err=3.7e-16)
1. CWP (min N): elapsed time t=1.11 s, 65536 iters, t-(init.)=1.06 s
    t(norm)=0.0319806, mflops=156.345
2. CWP (best N) (N=84): elapsed time t=1.09 s, 65536 iters, t-(init.)=1.03 s
    t(norm)=0.0310755, mflops=160.899
3. FFTPACK: elapsed time t=1.01 s, 65536 iters, t-(init.)=0.95 s
    t(norm)=0.0286618, mflops=174.448 (err=3.4e-16)
4. FFTPACK (f2c): elapsed time t=1.15 s, 16384 iters, t-(init.)=1.14 s
    t(norm)=0.137577, mflops=36.3433 (err=4.2e-16)

FFTW_MEASURE plan: (cost = 1.281738e-05)
FFTW_TWIDDLE 8
FFTW_NOTW 10

5. FFTW: elapsed time t=1.71 s, 131072 iters, t-(init.)=1.6 s
    t(norm)=0.0241363, mflops=207.157 (err=3.4e-16)

FFTW_ESTIMATE plan: (cost = 2.600000e+03)
FFTW_TWIDDLE 5
FFTW_NOTW 16

6. FFTW_ESTIMATE: elapsed time t=1.8 s, 131072 iters, t-(init.)=1.69 s
    t(norm)=0.025494, mflops=196.125 (err=4.2e-16)
7. Frigo-old: elapsed time t=1.43 s, 32768 iters, t-(init.)=1.4 s
    t(norm)=0.084477, mflops=59.1877 (err=3.5e-16)
8. GSL: elapsed time t=1.5 s, 65536 iters, t-(init.)=1.44 s
    t(norm)=0.0434453, mflops=115.087 (err=3.0e-16)
9. NAPACK (f2c): elapsed time t=1.3 s, 16384 iters, t-(init.)=1.28 s
    t(norm)=0.154472, mflops=32.3683 (err=5.2e-16)
10. Nielsen: elapsed time t=1.77 s, 32768 iters, t-(init.)=1.74 s
    t(norm)=0.104993, mflops=47.6223 (err=5.0e-15)
11. Singleton: elapsed time t=1.69 s, 65536 iters, t-(init.)=1.64 s
    t(norm)=0.0494794, mflops=101.052 (err=4.3e-16)
12. Singleton (f2c): elapsed time t=1.69 s, 65536 iters, t-(init.)=1.63 s
    t(norm)=0.0491777, mflops=101.672 (err=4.3e-16)
13. Temperton: elapsed time t=1.16 s, 32768 iters, t-(init.)=1.13 s
    t(norm)=0.068185, mflops=73.3299 (err=5.3e-08)
14. Temperton (f2c): elapsed time t=1.05 s, 16384 iters, t-(init.)=1.04 s
    t(norm)=0.125509, mflops=39.8379 (err=3.6e-16)
15. Valkenburg: elapsed time t=1.39 s, 4096 iters, t-(init.)=1.38 s
    t(norm)=0.666162, mflops=7.50569 (err=4.3e-16)
16. SCSL: elapsed time t=1.65 s, 131072 iters, t-(init.)=1.54 s
    t(norm)=0.0232312, mflops=215.228 (err=4.2e-16)
17. SGIMATH: elapsed time t=1.65 s, 131072 iters, t-(init.)=1.54 s
    t(norm)=0.0232312, mflops=215.228 (err=4.2e-16)

Top mflops for N=80 = 215.228
Normalized results and averages for N=80:
  fft 0: mflops = 20.5106 (norm. = 0.095297), norm. avg. (of 5) = 0.0669329
  fft 1: mflops = 156.345 (norm. = 0.726415), norm. avg. (of 8) = 0.391547
  fft 2: mflops = 160.899 (norm. = 0.747573), norm. avg. (of 8) = 0.3582
  fft 3: mflops = 174.448 (norm. = 0.810526), norm. avg. (of 8) = 0.510183
  fft 4: mflops = 36.3433 (norm. = 0.16886), norm. avg. (of 8) = 0.155589
  fft 5: mflops = 207.157 (norm. = 0.9625), norm. avg. (of 8) = 0.988909
  fft 6: mflops = 196.125 (norm. = 0.911243), norm. avg. (of 8) = 0.967007
  fft 7: mflops = 59.1877 (norm. = 0.275), norm. avg. (of 8) = 0.166636
  fft 8: mflops = 115.087 (norm. = 0.534722), norm. avg. (of 8) = 0.435429
  fft 9: mflops = 32.3683 (norm. = 0.150391), norm. avg. (of 8) = 0.174832
  fft 10: mflops = 47.6223 (norm. = 0.221264), norm. avg. (of 8) = 0.111966
  fft 11: mflops = 101.052 (norm. = 0.469512), norm. avg. (of 8) = 0.25705
  fft 12: mflops = 101.672 (norm. = 0.472393), norm. avg. (of 8) = 0.255566
  fft 13: mflops = 73.3299 (norm. = 0.340708), norm. avg. (of 8) = 0.230768
  fft 14: mflops = 39.8379 (norm. = 0.185096), norm. avg. (of 8) = 0.10977
  fft 15: mflops = 7.50569 (norm. = 0.0348732), norm. avg. (of 8) = 0.0450001
  fft 16: mflops = 215.228 (norm. = 1), norm. avg. (of 8) = 0.623649
  fft 17: mflops = 215.228 (norm. = 1), norm. avg. (of 8) = 0.631077

Benchmarking for array size = 108:
0. Brenner: elapsed time t=1.06 s, 4096 iters, t-(init.)=1.06 s
    t(norm)=0.354735, mflops=14.095 (err=6.5e-16)
1. CWP (min N) (N=110): elapsed time t=1.77 s, 65536 iters, t-(init.)=1.7 s
    t(norm)=0.0355572, mflops=140.619
2. CWP (best N) (N=112): elapsed time t=1.47 s, 65536 iters, t-(init.)=1.39 s
    t(norm)=0.0290732, mflops=171.98
3. FFTPACK: elapsed time t=1.45 s, 65536 iters, t-(init.)=1.37 s
    t(norm)=0.0286549, mflops=174.49 (err=3.5e-16)
4. FFTPACK (f2c): elapsed time t=1.96 s, 16384 iters, t-(init.)=1.94 s
    t(norm)=0.162308, mflops=30.8056 (err=4.0e-16)

FFTW_MEASURE plan: (cost = 1.831055e-05)
FFTW_TWIDDLE 9
FFTW_NOTW 12

5. FFTW: elapsed time t=1.22 s, 65536 iters, t-(init.)=1.15 s
    t(norm)=0.0240534, mflops=207.871 (err=3.9e-16)

FFTW_ESTIMATE plan: (cost = 4.633200e+03)
FFTW_TWIDDLE 9
FFTW_NOTW 12

6. FFTW_ESTIMATE: elapsed time t=1.21 s, 65536 iters, t-(init.)=1.13 s
    t(norm)=0.0236351, mflops=211.55 (err=3.9e-16)
7. Frigo-old: elapsed time t=1.26 s, 8192 iters, t-(init.)=1.25 s
    t(norm)=0.20916, mflops=23.9052 (err=5.6e-16)
8. GSL: elapsed time t=1.02 s, 32768 iters, t-(init.)=0.98 s
    t(norm)=0.0409953, mflops=121.965 (err=3.9e-16)
9. NAPACK (f2c): elapsed time t=1.1 s, 16384 iters, t-(init.)=1.08 s
    t(norm)=0.090357, mflops=55.336 (err=2.4e-15)
10. Nielsen: elapsed time t=1.25 s, 8192 iters, t-(init.)=1.24 s
    t(norm)=0.207487, mflops=24.098 (err=1.2e-15)
11. Singleton: elapsed time t=1.54 s, 32768 iters, t-(init.)=1.5 s
    t(norm)=0.0627479, mflops=79.6839 (err=4.5e-16)
12. Singleton (f2c): elapsed time t=1.59 s, 32768 iters, t-(init.)=1.56 s
    t(norm)=0.0652579, mflops=76.6191 (err=4.5e-16)
13. Temperton: elapsed time t=1.65 s, 32768 iters, t-(init.)=1.62 s
    t(norm)=0.0677678, mflops=73.7814 (err=7.4e-08)
14. Temperton (f2c): elapsed time t=1.29 s, 8192 iters, t-(init.)=1.29 s
    t(norm)=0.215853, mflops=23.1639 (err=3.3e-16)
15. Valkenburg: elapsed time t=1.88 s, 4096 iters, t-(init.)=1.88 s
    t(norm)=0.629153, mflops=7.9472 (err=5.7e-16)
16. SCSL: elapsed time t=1.26 s, 65536 iters, t-(init.)=1.19 s
    t(norm)=0.02489, mflops=200.884 (err=5.3e-16)
17. SGIMATH: elapsed time t=1.2 s, 65536 iters, t-(init.)=1.13 s
    t(norm)=0.0236351, mflops=211.55 (err=5.3e-16)

Top mflops for N=108 = 211.55
Normalized results and averages for N=108:
  fft 0: mflops = 14.095 (norm. = 0.0666274), norm. avg. (of 6) = 0.066882
  fft 1: mflops = 140.619 (norm. = 0.664706), norm. avg. (of 9) = 0.421898
  fft 2: mflops = 171.98 (norm. = 0.81295), norm. avg. (of 9) = 0.408728
  fft 3: mflops = 174.49 (norm. = 0.824818), norm. avg. (of 9) = 0.545142
  fft 4: mflops = 30.8056 (norm. = 0.145619), norm. avg. (of 9) = 0.154482
  fft 5: mflops = 207.871 (norm. = 0.982609), norm. avg. (of 9) = 0.988209
  fft 6: mflops = 211.55 (norm. = 1), norm. avg. (of 9) = 0.970673
  fft 7: mflops = 23.9052 (norm. = 0.113), norm. avg. (of 9) = 0.160677
  fft 8: mflops = 121.965 (norm. = 0.576531), norm. avg. (of 9) = 0.451107
  fft 9: mflops = 55.336 (norm. = 0.261574), norm. avg. (of 9) = 0.18447
  fft 10: mflops = 24.098 (norm. = 0.113911), norm. avg. (of 9) = 0.112182
  fft 11: mflops = 79.6839 (norm. = 0.376667), norm. avg. (of 9) = 0.27034
  fft 12: mflops = 76.6191 (norm. = 0.362179), norm. avg. (of 9) = 0.267412
  fft 13: mflops = 73.7814 (norm. = 0.348765), norm. avg. (of 9) = 0.243879
  fft 14: mflops = 23.1639 (norm. = 0.109496), norm. avg. (of 9) = 0.10974
  fft 15: mflops = 7.9472 (norm. = 0.0375665), norm. avg. (of 9) = 0.0441742
  fft 16: mflops = 200.884 (norm. = 0.94958), norm. avg. (of 9) = 0.659863
  fft 17: mflops = 211.55 (norm. = 1), norm. avg. (of 9) = 0.672069

Benchmarking for array size = 210:
0. Brenner: elapsed time t=1.76 s, 4096 iters, t-(init.)=1.75 s
    t(norm)=0.263734, mflops=18.9585 (err=6.9e-16)
1. CWP (min N): elapsed time t=1.44 s, 32768 iters, t-(init.)=1.37 s
    t(norm)=0.0258082, mflops=193.737
2. CWP (best N): elapsed time t=1.43 s, 32768 iters, t-(init.)=1.36 s
    t(norm)=0.0256198, mflops=195.161
3. FFTPACK: elapsed time t=1.8 s, 16384 iters, t-(init.)=1.76 s
    t(norm)=0.0663101, mflops=75.4032 (err=5.2e-16)
4. FFTPACK (f2c): elapsed time t=1.8 s, 4096 iters, t-(init.)=1.8 s
    t(norm)=0.271269, mflops=18.4319 (err=6.0e-16)

FFTW_MEASURE plan: (cost = 5.126953e-05)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 3
FFTW_NOTW 10

5. FFTW: elapsed time t=1.69 s, 32768 iters, t-(init.)=1.62 s
    t(norm)=0.0305177, mflops=163.839 (err=5.0e-16)

FFTW_ESTIMATE plan: (cost = 9.324000e+03)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 15

6. FFTW_ESTIMATE: elapsed time t=1.78 s, 32768 iters, t-(init.)=1.7 s
    t(norm)=0.0320248, mflops=156.129 (err=4.9e-16)
7. Frigo-old: elapsed time t=1.15 s, 4096 iters, t-(init.)=1.14 s
    t(norm)=0.171804, mflops=29.103 (err=5.5e-16)
8. GSL: elapsed time t=1.09 s, 16384 iters, t-(init.)=1.05 s
    t(norm)=0.03956, mflops=126.39 (err=6.3e-16)
9. NAPACK (f2c): elapsed time t=1.19 s, 4096 iters, t-(init.)=1.18 s
    t(norm)=0.177832, mflops=28.1165 (err=1.5e-14)
10. Nielsen: elapsed time t=1.05 s, 4096 iters, t-(init.)=1.05 s
    t(norm)=0.15824, mflops=31.5975 (err=7.4e-15)
11. Singleton: elapsed time t=1.17 s, 8192 iters, t-(init.)=1.15 s
    t(norm)=0.0866553, mflops=57.6999 (err=6.3e-16)
12. Singleton (f2c): elapsed time t=1.14 s, 8192 iters, t-(init.)=1.12 s
    t(norm)=0.0843947, mflops=59.2454 (err=6.3e-16)
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
15. Valkenburg: elapsed time t=1.27 s, 1024 iters, t-(init.)=1.26 s
    t(norm)=0.759553, mflops=6.58282 (err=7.2e-16)
16. SCSL: elapsed time t=1.37 s, 16384 iters, t-(init.)=1.33 s
    t(norm)=0.0501094, mflops=99.7817 (err=6.1e-16)
17. SGIMATH: elapsed time t=1.37 s, 16384 iters, t-(init.)=1.33 s
    t(norm)=0.0501094, mflops=99.7817 (err=6.1e-16)

Top mflops for N=210 = 195.161
Normalized results and averages for N=210:
  fft 0: mflops = 18.9585 (norm. = 0.0971429), norm. avg. (of 7) = 0.071205
  fft 1: mflops = 193.737 (norm. = 0.992701), norm. avg. (of 10) = 0.478978
  fft 2: mflops = 195.161 (norm. = 1), norm. avg. (of 10) = 0.467855
  fft 3: mflops = 75.4032 (norm. = 0.386364), norm. avg. (of 10) = 0.529264
  fft 4: mflops = 18.4319 (norm. = 0.0944444), norm. avg. (of 10) = 0.148478
  fft 5: mflops = 163.839 (norm. = 0.839506), norm. avg. (of 10) = 0.973338
  fft 6: mflops = 156.129 (norm. = 0.8), norm. avg. (of 10) = 0.953606
  fft 7: mflops = 29.103 (norm. = 0.149123), norm. avg. (of 10) = 0.159521
  fft 8: mflops = 126.39 (norm. = 0.647619), norm. avg. (of 10) = 0.470758
  fft 9: mflops = 28.1165 (norm. = 0.144068), norm. avg. (of 10) = 0.18043
  fft 10: mflops = 31.5975 (norm. = 0.161905), norm. avg. (of 10) = 0.117154
  fft 11: mflops = 57.6999 (norm. = 0.295652), norm. avg. (of 10) = 0.272872
  fft 12: mflops = 59.2454 (norm. = 0.303571), norm. avg. (of 10) = 0.271028
  fft 13: mflops = -1 (norm. = -0.00512397), norm. avg. (of 9) = 0.243879
  fft 14: mflops = -1 (norm. = -0.00512397), norm. avg. (of 9) = 0.10974
  fft 15: mflops = 6.58282 (norm. = 0.0337302), norm. avg. (of 10) = 0.0431298
  fft 16: mflops = 99.7817 (norm. = 0.511278), norm. avg. (of 10) = 0.645005
  fft 17: mflops = 99.7817 (norm. = 0.511278), norm. avg. (of 10) = 0.655989

Benchmarking for array size = 504:
0. Brenner: elapsed time t=1.16 s, 1024 iters, t-(init.)=1.16 s
    t(norm)=0.25037, mflops=19.9704 (err=1.5e-15)
1. CWP (min N): elapsed time t=1.6 s, 16384 iters, t-(init.)=1.51 s
    t(norm)=0.0203696, mflops=245.464
2. CWP (best N): elapsed time t=1.62 s, 16384 iters, t-(init.)=1.54 s
    t(norm)=0.0207743, mflops=240.683
3. FFTPACK: elapsed time t=1.14 s, 4096 iters, t-(init.)=1.12 s
    t(norm)=0.0604342, mflops=82.7346 (err=1.3e-15)
4. FFTPACK (f2c): elapsed time t=1.23 s, 1024 iters, t-(init.)=1.22 s
    t(norm)=0.26332, mflops=18.9883 (err=1.3e-15)

FFTW_MEASURE plan: (cost = 1.220703e-04)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 6
FFTW_NOTW 12

5. FFTW: elapsed time t=1.02 s, 8192 iters, t-(init.)=0.97 s
    t(norm)=0.0261702, mflops=191.057 (err=1.2e-15)

FFTW_ESTIMATE plan: (cost = 2.147040e+04)
FFTW_TWIDDLE 6
FFTW_TWIDDLE 6
FFTW_NOTW 14

6. FFTW_ESTIMATE: elapsed time t=1.21 s, 8192 iters, t-(init.)=1.17 s
    t(norm)=0.0315661, mflops=158.398 (err=1.2e-15)
7. Frigo-old: elapsed time t=1.4 s, 2048 iters, t-(init.)=1.39 s
    t(norm)=0.150006, mflops=33.3319 (err=1.3e-15)
8. GSL: elapsed time t=1.37 s, 8192 iters, t-(init.)=1.33 s
    t(norm)=0.0358828, mflops=139.343 (err=1.3e-15)
9. NAPACK (f2c): elapsed time t=1.27 s, 2048 iters, t-(init.)=1.26 s
    t(norm)=0.135977, mflops=36.7709 (err=4.1e-14)
10. Nielsen: elapsed time t=1.55 s, 2048 iters, t-(init.)=1.54 s
    t(norm)=0.166194, mflops=30.0853 (err=6.0e-15)
11. Singleton: elapsed time t=1.26 s, 4096 iters, t-(init.)=1.24 s
    t(norm)=0.0669093, mflops=74.728 (err=1.9e-15)
12. Singleton (f2c): elapsed time t=1.24 s, 4096 iters, t-(init.)=1.21 s
    t(norm)=0.0652905, mflops=76.5808 (err=1.9e-15)
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
15. Valkenburg: elapsed time t=1.61 s, 512 iters, t-(init.)=1.6 s
    t(norm)=0.690677, mflops=7.23928 (err=1.4e-15)
16. SCSL: elapsed time t=1.27 s, 4096 iters, t-(init.)=1.25 s
    t(norm)=0.0674489, mflops=74.1302 (err=1.3e-15)
17. SGIMATH: elapsed time t=1.28 s, 4096 iters, t-(init.)=1.26 s
    t(norm)=0.0679885, mflops=73.5419 (err=1.3e-15)

Top mflops for N=504 = 245.464
Normalized results and averages for N=504:
  fft 0: mflops = 19.9704 (norm. = 0.0813578), norm. avg. (of 8) = 0.0724741
  fft 1: mflops = 245.464 (norm. = 1), norm. avg. (of 11) = 0.526344
  fft 2: mflops = 240.683 (norm. = 0.980519), norm. avg. (of 11) = 0.514461
  fft 3: mflops = 82.7346 (norm. = 0.337054), norm. avg. (of 11) = 0.511791
  fft 4: mflops = 18.9883 (norm. = 0.0773566), norm. avg. (of 11) = 0.142012
  fft 5: mflops = 191.057 (norm. = 0.778351), norm. avg. (of 11) = 0.955612
  fft 6: mflops = 158.398 (norm. = 0.645299), norm. avg. (of 11) = 0.925578
  fft 7: mflops = 33.3319 (norm. = 0.135791), norm. avg. (of 11) = 0.157364
  fft 8: mflops = 139.343 (norm. = 0.567669), norm. avg. (of 11) = 0.479568
  fft 9: mflops = 36.7709 (norm. = 0.149802), norm. avg. (of 11) = 0.177646
  fft 10: mflops = 30.0853 (norm. = 0.122565), norm. avg. (of 11) = 0.117646
  fft 11: mflops = 74.728 (norm. = 0.304435), norm. avg. (of 11) = 0.275741
  fft 12: mflops = 76.5808 (norm. = 0.311983), norm. avg. (of 11) = 0.274751
  fft 13: mflops = -1 (norm. = -0.00407391), norm. avg. (of 9) = 0.243879
  fft 14: mflops = -1 (norm. = -0.00407391), norm. avg. (of 9) = 0.10974
  fft 15: mflops = 7.23928 (norm. = 0.0294922), norm. avg. (of 11) = 0.04189
  fft 16: mflops = 74.1302 (norm. = 0.302), norm. avg. (of 11) = 0.613822
  fft 17: mflops = 73.5419 (norm. = 0.299603), norm. avg. (of 11) = 0.623591

Benchmarking for array size = 1000:
0. Brenner: elapsed time t=1.12 s, 512 iters, t-(init.)=1.11 s
    t(norm)=0.217541, mflops=22.9842 (err=1.2e-15)
1. CWP (min N) (N=1001): elapsed time t=1.16 s, 4096 iters, t-(init.)=1.12 s
    t(norm)=0.0274376, mflops=182.231
2. CWP (best N) (N=1008): elapsed time t=1.79 s, 8192 iters, t-(init.)=1.71 s
    t(norm)=0.0209457, mflops=238.713
3. FFTPACK: elapsed time t=1.28 s, 4096 iters, t-(init.)=1.23 s
    t(norm)=0.0301324, mflops=165.934 (err=1.0e-15)
4. FFTPACK (f2c): elapsed time t=1.49 s, 1024 iters, t-(init.)=1.48 s
    t(norm)=0.145027, mflops=34.4762 (err=1.1e-15)

FFTW_MEASURE plan: (cost = 2.832031e-04)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_NOTW 10

5. FFTW: elapsed time t=1.22 s, 4096 iters, t-(init.)=1.17 s
    t(norm)=0.0286625, mflops=174.444 (err=1.0e-15)

FFTW_ESTIMATE plan: (cost = 5.220000e+04)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_NOTW 10

6. FFTW_ESTIMATE: elapsed time t=1.21 s, 4096 iters, t-(init.)=1.17 s
    t(norm)=0.0286625, mflops=174.444 (err=1.0e-15)
7. Frigo-old: elapsed time t=1.31 s, 1024 iters, t-(init.)=1.3 s
    t(norm)=0.127389, mflops=39.2499 (err=1.1e-15)
8. GSL: elapsed time t=1.67 s, 4096 iters, t-(init.)=1.63 s
    t(norm)=0.0399316, mflops=125.214 (err=1.0e-15)
9. NAPACK (f2c): elapsed time t=1.68 s, 1024 iters, t-(init.)=1.67 s
    t(norm)=0.163646, mflops=30.5538 (err=1.7e-14)
10. Nielsen: elapsed time t=1.81 s, 2048 iters, t-(init.)=1.79 s
    t(norm)=0.0877024, mflops=57.011 (err=1.5e-14)
11. Singleton: elapsed time t=1.85 s, 4096 iters, t-(init.)=1.81 s
    t(norm)=0.0443412, mflops=112.762 (err=1.5e-15)
12. Singleton (f2c): elapsed time t=1.88 s, 4096 iters, t-(init.)=1.84 s
    t(norm)=0.0450761, mflops=110.924 (err=1.5e-15)
13. Temperton: elapsed time t=1.08 s, 2048 iters, t-(init.)=1.06 s
    t(norm)=0.0519355, mflops=96.2732 (err=1.3e-07)
14. Temperton (f2c): elapsed time t=1.59 s, 1024 iters, t-(init.)=1.58 s
    t(norm)=0.154827, mflops=32.2942 (err=1.0e-15)
15. Valkenburg: elapsed time t=1.82 s, 256 iters, t-(init.)=1.81 s
    t(norm)=0.709459, mflops=7.04763 (err=1.1e-15)
16. SCSL: elapsed time t=1.02 s, 4096 iters, t-(init.)=0.97 s
    t(norm)=0.0237629, mflops=210.412 (err=1.2e-15)
17. SGIMATH: elapsed time t=1.01 s, 4096 iters, t-(init.)=0.97 s
    t(norm)=0.0237629, mflops=210.412 (err=1.2e-15)

Top mflops for N=1000 = 238.713
Normalized results and averages for N=1000:
  fft 0: mflops = 22.9842 (norm. = 0.0962838), norm. avg. (of 9) = 0.0751196
  fft 1: mflops = 182.231 (norm. = 0.763393), norm. avg. (of 12) = 0.546098
  fft 2: mflops = 238.713 (norm. = 1), norm. avg. (of 12) = 0.554923
  fft 3: mflops = 165.934 (norm. = 0.695122), norm. avg. (of 12) = 0.527068
  fft 4: mflops = 34.4762 (norm. = 0.144426), norm. avg. (of 12) = 0.142213
  fft 5: mflops = 174.444 (norm. = 0.730769), norm. avg. (of 12) = 0.936875
  fft 6: mflops = 174.444 (norm. = 0.730769), norm. avg. (of 12) = 0.909344
  fft 7: mflops = 39.2499 (norm. = 0.164423), norm. avg. (of 12) = 0.157952
  fft 8: mflops = 125.214 (norm. = 0.52454), norm. avg. (of 12) = 0.483316
  fft 9: mflops = 30.5538 (norm. = 0.127994), norm. avg. (of 12) = 0.173508
  fft 10: mflops = 57.011 (norm. = 0.238827), norm. avg. (of 12) = 0.127745
  fft 11: mflops = 112.762 (norm. = 0.472376), norm. avg. (of 12) = 0.292127
  fft 12: mflops = 110.924 (norm. = 0.464674), norm. avg. (of 12) = 0.290578
  fft 13: mflops = 96.2732 (norm. = 0.403302), norm. avg. (of 10) = 0.259821
  fft 14: mflops = 32.2942 (norm. = 0.135285), norm. avg. (of 10) = 0.112294
  fft 15: mflops = 7.04763 (norm. = 0.0295235), norm. avg. (of 12) = 0.0408594
  fft 16: mflops = 210.412 (norm. = 0.881443), norm. avg. (of 12) = 0.636124
  fft 17: mflops = 210.412 (norm. = 0.881443), norm. avg. (of 12) = 0.645078

Benchmarking for array size = 1960:
0. Brenner: elapsed time t=1.19 s, 256 iters, t-(init.)=1.18 s
    t(norm)=0.215032, mflops=23.2524 (err=2.9e-15)
1. CWP (min N) (N=1980): elapsed time t=1 s, 2048 iters, t-(init.)=0.96 s
    t(norm)=0.0218676, mflops=228.649
2. CWP (best N) (N=1980): elapsed time t=1 s, 2048 iters, t-(init.)=0.96 s
    t(norm)=0.0218676, mflops=228.649
3. FFTPACK: elapsed time t=1.86 s, 1024 iters, t-(init.)=1.84 s
    t(norm)=0.0838258, mflops=59.6475 (err=2.7e-15)
4. FFTPACK (f2c): elapsed time t=1.86 s, 256 iters, t-(init.)=1.86 s
    t(norm)=0.338948, mflops=14.7515 (err=2.8e-15)

FFTW_MEASURE plan: (cost = 7.812500e-04)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_NOTW 7

5. FFTW: elapsed time t=1.71 s, 2048 iters, t-(init.)=1.67 s
    t(norm)=0.0380405, mflops=131.439 (err=2.8e-15)

FFTW_ESTIMATE plan: (cost = 9.662800e+04)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 14

6. FFTW_ESTIMATE: elapsed time t=1.65 s, 2048 iters, t-(init.)=1.61 s
    t(norm)=0.0366738, mflops=136.337 (err=2.8e-15)
7. Frigo-old: elapsed time t=1.52 s, 512 iters, t-(init.)=1.51 s
    t(norm)=0.137584, mflops=36.3415 (err=2.8e-15)
8. GSL: elapsed time t=1.2 s, 1024 iters, t-(init.)=1.18 s
    t(norm)=0.0537579, mflops=93.0096 (err=2.8e-15)
9. NAPACK (f2c): elapsed time t=1.1 s, 256 iters, t-(init.)=1.1 s
    t(norm)=0.200453, mflops=24.9435 (err=1.3e-13)
10. Nielsen: elapsed time t=1.73 s, 512 iters, t-(init.)=1.72 s
    t(norm)=0.156718, mflops=31.9045 (err=1.7e-14)
11. Singleton: elapsed time t=1.43 s, 1024 iters, t-(init.)=1.41 s
    t(norm)=0.0642361, mflops=77.8378 (err=4.3e-15)
12. Singleton (f2c): elapsed time t=1.4 s, 1024 iters, t-(init.)=1.38 s
    t(norm)=0.0628694, mflops=79.53 (err=4.3e-15)
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
15. Valkenburg: elapsed time t=1.1 s, 64 iters, t-(init.)=1.1 s
    t(norm)=0.801812, mflops=6.23587 (err=2.7e-15)
16. SCSL: elapsed time t=1.21 s, 512 iters, t-(init.)=1.2 s
    t(norm)=0.109338, mflops=45.7297 (err=2.8e-15)
17. SGIMATH: elapsed time t=1.21 s, 512 iters, t-(init.)=1.2 s
    t(norm)=0.109338, mflops=45.7297 (err=2.8e-15)

Top mflops for N=1960 = 228.649
Normalized results and averages for N=1960:
  fft 0: mflops = 23.2524 (norm. = 0.101695), norm. avg. (of 10) = 0.0777771
  fft 1: mflops = 228.649 (norm. = 1), norm. avg. (of 13) = 0.581013
  fft 2: mflops = 228.649 (norm. = 1), norm. avg. (of 13) = 0.589159
  fft 3: mflops = 59.6475 (norm. = 0.26087), norm. avg. (of 13) = 0.506591
  fft 4: mflops = 14.7515 (norm. = 0.0645161), norm. avg. (of 13) = 0.136237
  fft 5: mflops = 131.439 (norm. = 0.57485), norm. avg. (of 13) = 0.909027
  fft 6: mflops = 136.337 (norm. = 0.596273), norm. avg. (of 13) = 0.885262
  fft 7: mflops = 36.3415 (norm. = 0.15894), norm. avg. (of 13) = 0.158028
  fft 8: mflops = 93.0096 (norm. = 0.40678), norm. avg. (of 13) = 0.477428
  fft 9: mflops = 24.9435 (norm. = 0.109091), norm. avg. (of 13) = 0.168553
  fft 10: mflops = 31.9045 (norm. = 0.139535), norm. avg. (of 13) = 0.128651
  fft 11: mflops = 77.8378 (norm. = 0.340426), norm. avg. (of 13) = 0.295842
  fft 12: mflops = 79.53 (norm. = 0.347826), norm. avg. (of 13) = 0.294982
  fft 13: mflops = -1 (norm. = -0.00437352), norm. avg. (of 10) = 0.259821
  fft 14: mflops = -1 (norm. = -0.00437352), norm. avg. (of 10) = 0.112294
  fft 15: mflops = 6.23587 (norm. = 0.0272727), norm. avg. (of 13) = 0.0398143
  fft 16: mflops = 45.7297 (norm. = 0.2), norm. avg. (of 13) = 0.602576
  fft 17: mflops = 45.7297 (norm. = 0.2), norm. avg. (of 13) = 0.610842

Benchmarking for array size = 4725:
0. Brenner: elapsed time t=1.98 s, 128 iters, t-(init.)=1.96 s
    t(norm)=0.265502, mflops=18.8323 (err=1.9e-15)
1. CWP (min N) (N=5005): elapsed time t=1 s, 512 iters, t-(init.)=0.92 s
    t(norm)=0.0311558, mflops=160.484
2. CWP (best N) (N=5040): elapsed time t=1.72 s, 1024 iters, t-(init.)=1.56 s
    t(norm)=0.0264147, mflops=189.288
3. FFTPACK: elapsed time t=1.97 s, 512 iters, t-(init.)=1.89 s
    t(norm)=0.0640049, mflops=78.119 (err=1.8e-15)
4. FFTPACK (f2c): elapsed time t=1.71 s, 128 iters, t-(init.)=1.69 s
    t(norm)=0.228928, mflops=21.841 (err=1.9e-15)

FFTW_MEASURE plan: (cost = 2.031250e-03)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 9
FFTW_TWIDDLE 5
FFTW_NOTW 15

5. FFTW: elapsed time t=1.11 s, 512 iters, t-(init.)=1.02 s
    t(norm)=0.0345423, mflops=144.75 (err=1.8e-15)

FFTW_ESTIMATE plan: (cost = 1.946700e+05)
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_TWIDDLE 9
FFTW_NOTW 15

6. FFTW_ESTIMATE: elapsed time t=1.11 s, 512 iters, t-(init.)=1.03 s
    t(norm)=0.034881, mflops=143.345 (err=1.8e-15)
7. Frigo-old: elapsed time t=1.6 s, 128 iters, t-(init.)=1.58 s
    t(norm)=0.214027, mflops=23.3615 (err=1.9e-15)
8. GSL: elapsed time t=1.55 s, 512 iters, t-(init.)=1.47 s
    t(norm)=0.0497816, mflops=100.439 (err=1.9e-15)
9. NAPACK (f2c): elapsed time t=1.35 s, 128 iters, t-(init.)=1.33 s
    t(norm)=0.180162, mflops=27.7528 (err=3.5e-13)
10. Nielsen: elapsed time t=1.4 s, 128 iters, t-(init.)=1.38 s
    t(norm)=0.186935, mflops=26.7473 (err=3.8e-14)
11. Singleton: elapsed time t=1.17 s, 256 iters, t-(init.)=1.13 s
    t(norm)=0.0765349, mflops=65.3296 (err=2.4e-15)
12. Singleton (f2c): elapsed time t=1.15 s, 256 iters, t-(init.)=1.12 s
    t(norm)=0.0758576, mflops=65.9129 (err=2.4e-15)
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
15. Valkenburg: elapsed time t=1.39 s, 32 iters, t-(init.)=1.38 s
    t(norm)=0.74774, mflops=6.68682 (err=1.8e-15)
16. SCSL: elapsed time t=1.66 s, 512 iters, t-(init.)=1.58 s
    t(norm)=0.0535067, mflops=93.4462 (err=1.8e-15)
17. SGIMATH: elapsed time t=1.66 s, 512 iters, t-(init.)=1.58 s
    t(norm)=0.0535067, mflops=93.4462 (err=1.8e-15)

Top mflops for N=4725 = 189.288
Normalized results and averages for N=4725:
  fft 0: mflops = 18.8323 (norm. = 0.0994898), norm. avg. (of 11) = 0.079751
  fft 1: mflops = 160.484 (norm. = 0.847826), norm. avg. (of 14) = 0.600072
  fft 2: mflops = 189.288 (norm. = 1), norm. avg. (of 14) = 0.618505
  fft 3: mflops = 78.119 (norm. = 0.412698), norm. avg. (of 14) = 0.499885
  fft 4: mflops = 21.841 (norm. = 0.115385), norm. avg. (of 14) = 0.134747
  fft 5: mflops = 144.75 (norm. = 0.764706), norm. avg. (of 14) = 0.898719
  fft 6: mflops = 143.345 (norm. = 0.757282), norm. avg. (of 14) = 0.87612
  fft 7: mflops = 23.3615 (norm. = 0.123418), norm. avg. (of 14) = 0.155556
  fft 8: mflops = 100.439 (norm. = 0.530612), norm. avg. (of 14) = 0.481227
  fft 9: mflops = 27.7528 (norm. = 0.146617), norm. avg. (of 14) = 0.166986
  fft 10: mflops = 26.7473 (norm. = 0.141304), norm. avg. (of 14) = 0.129555
  fft 11: mflops = 65.3296 (norm. = 0.345133), norm. avg. (of 14) = 0.299363
  fft 12: mflops = 65.9129 (norm. = 0.348214), norm. avg. (of 14) = 0.298784
  fft 13: mflops = -1 (norm. = -0.00528294), norm. avg. (of 10) = 0.259821
  fft 14: mflops = -1 (norm. = -0.00528294), norm. avg. (of 10) = 0.112294
  fft 15: mflops = 6.68682 (norm. = 0.0353261), norm. avg. (of 14) = 0.0394937
  fft 16: mflops = 93.4462 (norm. = 0.493671), norm. avg. (of 14) = 0.594797
  fft 17: mflops = 93.4462 (norm. = 0.493671), norm. avg. (of 14) = 0.602472

Benchmarking for array size = 10368:
0. Brenner: elapsed time t=1.14 s, 32 iters, t-(init.)=1.13 s
    t(norm)=0.255319, mflops=19.5834 (err=3.1e-15)
1. CWP (min N) (N=10920): elapsed time t=1.26 s, 256 iters, t-(init.)=1.17 s
    t(norm)=0.0330446, mflops=151.311
2. CWP (best N) (N=11088): elapsed time t=1.08 s, 256 iters, t-(init.)=0.99 s
    t(norm)=0.0279608, mflops=178.822
3. FFTPACK: elapsed time t=1.4 s, 256 iters, t-(init.)=1.32 s
    t(norm)=0.037281, mflops=134.116 (err=3.0e-15)
4. FFTPACK (f2c): elapsed time t=1.47 s, 64 iters, t-(init.)=1.44 s
    t(norm)=0.162681, mflops=30.735 (err=3.0e-15)

FFTW_MEASURE plan: (cost = 4.062500e-03)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 9
FFTW_TWIDDLE 8
FFTW_NOTW 16

5. FFTW: elapsed time t=1.1 s, 256 iters, t-(init.)=1.01 s
    t(norm)=0.0285256, mflops=175.281 (err=3.0e-15)

FFTW_ESTIMATE plan: (cost = 1.254528e+05)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 6
FFTW_TWIDDLE 6
FFTW_NOTW 32

6. FFTW_ESTIMATE: elapsed time t=1.18 s, 256 iters, t-(init.)=1.1 s
    t(norm)=0.0310675, mflops=160.94 (err=3.0e-15)
7. Frigo-old: elapsed time t=1.42 s, 64 iters, t-(init.)=1.4 s
    t(norm)=0.158162, mflops=31.6132 (err=3.1e-15)
8. GSL: elapsed time t=1.61 s, 256 iters, t-(init.)=1.53 s
    t(norm)=0.0432121, mflops=115.708 (err=3.0e-15)
9. NAPACK (f2c): elapsed time t=1.9 s, 128 iters, t-(init.)=1.86 s
    t(norm)=0.105065, mflops=47.5897 (err=8.1e-14)
10. Nielsen: elapsed time t=1.59 s, 64 iters, t-(init.)=1.57 s
    t(norm)=0.177367, mflops=28.1901 (err=8.4e-15)
11. Singleton: elapsed time t=1.27 s, 128 iters, t-(init.)=1.23 s
    t(norm)=0.0694783, mflops=71.9649 (err=4.4e-15)
12. Singleton (f2c): elapsed time t=1.31 s, 128 iters, t-(init.)=1.27 s
    t(norm)=0.0717378, mflops=69.6983 (err=4.4e-15)
13. Temperton: elapsed time t=1.74 s, 128 iters, t-(init.)=1.7 s
    t(norm)=0.0960269, mflops=52.0687 (err=2.1e-07)
14. Temperton (f2c): elapsed time t=1.61 s, 64 iters, t-(init.)=1.59 s
    t(norm)=0.179627, mflops=27.8355 (err=3.0e-15)
15. Valkenburg: elapsed time t=1.4 s, 16 iters, t-(init.)=1.39 s
    t(norm)=0.628129, mflops=7.96015 (err=3.0e-15)
16. SCSL: elapsed time t=1.34 s, 256 iters, t-(init.)=1.26 s
    t(norm)=0.0355864, mflops=140.503 (err=3.0e-15)
17. SGIMATH: elapsed time t=1.33 s, 256 iters, t-(init.)=1.24 s
    t(norm)=0.0350216, mflops=142.769 (err=3.0e-15)

Top mflops for N=10368 = 178.822
Normalized results and averages for N=10368:
  fft 0: mflops = 19.5834 (norm. = 0.109513), norm. avg. (of 12) = 0.0822312
  fft 1: mflops = 151.311 (norm. = 0.846154), norm. avg. (of 15) = 0.616477
  fft 2: mflops = 178.822 (norm. = 1), norm. avg. (of 15) = 0.643938
  fft 3: mflops = 134.116 (norm. = 0.75), norm. avg. (of 15) = 0.516559
  fft 4: mflops = 30.735 (norm. = 0.171875), norm. avg. (of 15) = 0.137222
  fft 5: mflops = 175.281 (norm. = 0.980198), norm. avg. (of 15) = 0.904151
  fft 6: mflops = 160.94 (norm. = 0.9), norm. avg. (of 15) = 0.877712
  fft 7: mflops = 31.6132 (norm. = 0.176786), norm. avg. (of 15) = 0.156971
  fft 8: mflops = 115.708 (norm. = 0.647059), norm. avg. (of 15) = 0.492283
  fft 9: mflops = 47.5897 (norm. = 0.266129), norm. avg. (of 15) = 0.173596
  fft 10: mflops = 28.1901 (norm. = 0.157643), norm. avg. (of 15) = 0.131428
  fft 11: mflops = 71.9649 (norm. = 0.402439), norm. avg. (of 15) = 0.306235
  fft 12: mflops = 69.6983 (norm. = 0.389764), norm. avg. (of 15) = 0.30485
  fft 13: mflops = 52.0687 (norm. = 0.291176), norm. avg. (of 11) = 0.262672
  fft 14: mflops = 27.8355 (norm. = 0.15566), norm. avg. (of 11) = 0.116237
  fft 15: mflops = 7.96015 (norm. = 0.0445144), norm. avg. (of 15) = 0.0398284
  fft 16: mflops = 140.503 (norm. = 0.785714), norm. avg. (of 15) = 0.607525
  fft 17: mflops = 142.769 (norm. = 0.798387), norm. avg. (of 15) = 0.615533

Benchmarking for array size = 27000:
0. Brenner: elapsed time t=1.61 s, 16 iters, t-(init.)=1.59 s
    t(norm)=0.250026, mflops=19.9979 (err=5.6e-15)
1. CWP (min N) (N=27720): elapsed time t=1.44 s, 128 iters, t-(init.)=1.33 s
    t(norm)=0.0261427, mflops=191.258
2. CWP (best N) (N=27720): elapsed time t=1.44 s, 128 iters, t-(init.)=1.33 s
    t(norm)=0.0261427, mflops=191.258
3. FFTPACK: elapsed time t=1.9 s, 128 iters, t-(init.)=1.79 s
    t(norm)=0.0351845, mflops=142.108 (err=5.5e-15)
4. FFTPACK (f2c): elapsed time t=1.98 s, 32 iters, t-(init.)=1.95 s
    t(norm)=0.153318, mflops=32.6119 (err=5.5e-15)

FFTW_MEASURE plan: (cost = 1.312500e-02)
FFTW_TWIDDLE 6
FFTW_TWIDDLE 10
FFTW_TWIDDLE 3
FFTW_TWIDDLE 10
FFTW_NOTW 15

5. FFTW: elapsed time t=1.8 s, 128 iters, t-(init.)=1.69 s
    t(norm)=0.0332189, mflops=150.517 (err=5.6e-15)

FFTW_ESTIMATE plan: (cost = 1.231200e+06)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_TWIDDLE 2
FFTW_TWIDDLE 9
FFTW_NOTW 15

6. FFTW_ESTIMATE: elapsed time t=1.75 s, 128 iters, t-(init.)=1.64 s
    t(norm)=0.0322361, mflops=155.106 (err=5.6e-15)
7. Frigo-old: elapsed time t=1.17 s, 16 iters, t-(init.)=1.16 s
    t(norm)=0.182409, mflops=27.4109 (err=5.7e-15)
8. GSL: elapsed time t=1.11 s, 64 iters, t-(init.)=1.05 s
    t(norm)=0.0412779, mflops=121.13 (err=5.5e-15)
9. NAPACK (f2c): elapsed time t=1.01 s, 16 iters, t-(init.)=0.99 s
    t(norm)=0.155677, mflops=32.1178 (err=1.1e-12)
10. Nielsen: elapsed time t=1.81 s, 32 iters, t-(init.)=1.78 s
    t(norm)=0.139952, mflops=35.7266 (err=2.0e-13)
11. Singleton: elapsed time t=1.9 s, 64 iters, t-(init.)=1.84 s
    t(norm)=0.0723347, mflops=69.1232 (err=7.7e-15)
12. Singleton (f2c): elapsed time t=1.91 s, 64 iters, t-(init.)=1.85 s
    t(norm)=0.0727278, mflops=68.7495 (err=7.7e-15)
13. Temperton: elapsed time t=1.09 s, 32 iters, t-(init.)=1.07 s
    t(norm)=0.0841284, mflops=59.433 (err=1.4e-07)
14. Temperton (f2c): elapsed time t=1.35 s, 16 iters, t-(init.)=1.33 s
    t(norm)=0.209142, mflops=23.9073 (err=5.6e-15)
15. Valkenburg: elapsed time t=1.11 s, 4 iters, t-(init.)=1.1 s
    t(norm)=0.691897, mflops=7.22651 (err=5.5e-15)
16. SCSL: elapsed time t=1.04 s, 64 iters, t-(init.)=0.99 s
    t(norm)=0.0389192, mflops=128.471 (err=5.6e-15)
17. SGIMATH: elapsed time t=1.03 s, 64 iters, t-(init.)=0.97 s
    t(norm)=0.0381329, mflops=131.12 (err=5.6e-15)

Top mflops for N=27000 = 191.258
Normalized results and averages for N=27000:
  fft 0: mflops = 19.9979 (norm. = 0.10456), norm. avg. (of 13) = 0.0839488
  fft 1: mflops = 191.258 (norm. = 1), norm. avg. (of 16) = 0.640447
  fft 2: mflops = 191.258 (norm. = 1), norm. avg. (of 16) = 0.666192
  fft 3: mflops = 142.108 (norm. = 0.743017), norm. avg. (of 16) = 0.530713
  fft 4: mflops = 32.6119 (norm. = 0.170513), norm. avg. (of 16) = 0.139303
  fft 5: mflops = 150.517 (norm. = 0.786982), norm. avg. (of 16) = 0.896828
  fft 6: mflops = 155.106 (norm. = 0.810976), norm. avg. (of 16) = 0.873541
  fft 7: mflops = 27.4109 (norm. = 0.143319), norm. avg. (of 16) = 0.156118
  fft 8: mflops = 121.13 (norm. = 0.633333), norm. avg. (of 16) = 0.501098
  fft 9: mflops = 32.1178 (norm. = 0.167929), norm. avg. (of 16) = 0.173241
  fft 10: mflops = 35.7266 (norm. = 0.186798), norm. avg. (of 16) = 0.134888
  fft 11: mflops = 69.1232 (norm. = 0.361413), norm. avg. (of 16) = 0.309684
  fft 12: mflops = 68.7495 (norm. = 0.359459), norm. avg. (of 16) = 0.308263
  fft 13: mflops = 59.433 (norm. = 0.310748), norm. avg. (of 12) = 0.266678
  fft 14: mflops = 23.9073 (norm. = 0.125), norm. avg. (of 12) = 0.116967
  fft 15: mflops = 7.22651 (norm. = 0.0377841), norm. avg. (of 16) = 0.0397007
  fft 16: mflops = 128.471 (norm. = 0.671717), norm. avg. (of 16) = 0.611537
  fft 17: mflops = 131.12 (norm. = 0.685567), norm. avg. (of 16) = 0.61991

Benchmarking for array size = 75600:
0. Brenner: elapsed time t=1.26 s, 4 iters, t-(init.)=1.25 s
    t(norm)=0.255064, mflops=19.6029 (err=1.1e-14)
1. CWP (min N) (N=80080): elapsed time t=1.28 s, 32 iters, t-(init.)=1.2 s
    t(norm)=0.0306077, mflops=163.357
2. CWP (best N) (N=80080): elapsed time t=1.28 s, 32 iters, t-(init.)=1.2 s
    t(norm)=0.0306077, mflops=163.357
3. FFTPACK: elapsed time t=1.21 s, 16 iters, t-(init.)=1.17 s
    t(norm)=0.0596851, mflops=83.7731 (err=1.1e-14)
4. FFTPACK (f2c): elapsed time t=1.03 s, 4 iters, t-(init.)=1.02 s
    t(norm)=0.208133, mflops=24.0232 (err=1.1e-14)

FFTW_MEASURE plan: (cost = 4.125000e-02)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_NOTW 12

5. FFTW: elapsed time t=1.4 s, 32 iters, t-(init.)=1.32 s
    t(norm)=0.0336685, mflops=148.507 (err=1.1e-14)

FFTW_ESTIMATE plan: (cost = 2.971080e+06)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 8
FFTW_NOTW 15

6. FFTW_ESTIMATE: elapsed time t=1.43 s, 32 iters, t-(init.)=1.36 s
    t(norm)=0.0346888, mflops=144.139 (err=1.1e-14)
7. Frigo-old: elapsed time t=1.77 s, 8 iters, t-(init.)=1.75 s
    t(norm)=0.178545, mflops=28.0041 (err=1.1e-14)
8. GSL: elapsed time t=1.96 s, 32 iters, t-(init.)=1.88 s
    t(norm)=0.0479521, mflops=104.271 (err=1.1e-14)
9. NAPACK (f2c): elapsed time t=1.59 s, 8 iters, t-(init.)=1.57 s
    t(norm)=0.16018, mflops=31.2148 (err=5.1e-12)
10. Nielsen: elapsed time t=1.59 s, 8 iters, t-(init.)=1.57 s
    t(norm)=0.16018, mflops=31.2148 (err=4.8e-13)
11. Singleton: elapsed time t=1.59 s, 16 iters, t-(init.)=1.55 s
    t(norm)=0.0790699, mflops=63.2352 (err=1.5e-14)
12. Singleton (f2c): elapsed time t=1.58 s, 16 iters, t-(init.)=1.54 s
    t(norm)=0.0785598, mflops=63.6458 (err=1.5e-14)
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
15. Valkenburg: elapsed time t=1.79 s, 2 iters, t-(init.)=1.79 s
    t(norm)=0.730504, mflops=6.84459 (err=1.1e-14)
16. SCSL: elapsed time t=1.08 s, 16 iters, t-(init.)=1.04 s
    t(norm)=0.0530534, mflops=94.2447 (err=1.1e-14)
17. SGIMATH: elapsed time t=1.09 s, 16 iters, t-(init.)=1.05 s
    t(norm)=0.0535635, mflops=93.3471 (err=1.1e-14)

Top mflops for N=75600 = 163.357
Normalized results and averages for N=75600:
  fft 0: mflops = 19.6029 (norm. = 0.12), norm. avg. (of 14) = 0.0865239
  fft 1: mflops = 163.357 (norm. = 1), norm. avg. (of 17) = 0.661597
  fft 2: mflops = 163.357 (norm. = 1), norm. avg. (of 17) = 0.685828
  fft 3: mflops = 83.7731 (norm. = 0.512821), norm. avg. (of 17) = 0.52966
  fft 4: mflops = 24.0232 (norm. = 0.147059), norm. avg. (of 17) = 0.139759
  fft 5: mflops = 148.507 (norm. = 0.909091), norm. avg. (of 17) = 0.897549
  fft 6: mflops = 144.139 (norm. = 0.882353), norm. avg. (of 17) = 0.874059
  fft 7: mflops = 28.0041 (norm. = 0.171429), norm. avg. (of 17) = 0.157019
  fft 8: mflops = 104.271 (norm. = 0.638298), norm. avg. (of 17) = 0.509169
  fft 9: mflops = 31.2148 (norm. = 0.191083), norm. avg. (of 17) = 0.174291
  fft 10: mflops = 31.2148 (norm. = 0.191083), norm. avg. (of 17) = 0.138194
  fft 11: mflops = 63.2352 (norm. = 0.387097), norm. avg. (of 17) = 0.314237
  fft 12: mflops = 63.6458 (norm. = 0.38961), norm. avg. (of 17) = 0.313048
  fft 13: mflops = -1 (norm. = -0.00612154), norm. avg. (of 12) = 0.266678
  fft 14: mflops = -1 (norm. = -0.00612154), norm. avg. (of 12) = 0.116967
  fft 15: mflops = 6.84459 (norm. = 0.0418994), norm. avg. (of 17) = 0.03983
  fft 16: mflops = 94.2447 (norm. = 0.576923), norm. avg. (of 17) = 0.609501
  fft 17: mflops = 93.3471 (norm. = 0.571429), norm. avg. (of 17) = 0.617059

Benchmarking for array size = 165375:
0. Brenner: elapsed time t=1.13 s, 1 iters, t-(init.)=1.12 s
    t(norm)=0.390674, mflops=12.7984 (err=2.7e-14)
1. CWP (min N) (N=180180): elapsed time t=1.59 s, 16 iters, t-(init.)=1.49 s
    t(norm)=0.0324835, mflops=153.924
2. CWP (best N) (N=180180): elapsed time t=1.59 s, 16 iters, t-(init.)=1.49 s
    t(norm)=0.0324835, mflops=153.924
3. FFTPACK: elapsed time t=1.26 s, 4 iters, t-(init.)=1.24 s
    t(norm)=0.108133, mflops=46.2393 (err=2.7e-14)
4. FFTPACK (f2c): elapsed time t=1.9 s, 2 iters, t-(init.)=1.88 s
    t(norm)=0.327887, mflops=15.2491 (err=2.7e-14)

FFTW_MEASURE plan: (cost = 1.850000e-01)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_NOTW 15

5. FFTW: elapsed time t=1.54 s, 8 iters, t-(init.)=1.49 s
    t(norm)=0.064967, mflops=76.9621 (err=2.7e-14)

FFTW_ESTIMATE plan: (cost = 8.367975e+06)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_TWIDDLE 9
FFTW_NOTW 15

6. FFTW_ESTIMATE: elapsed time t=1.41 s, 8 iters, t-(init.)=1.35 s
    t(norm)=0.0588627, mflops=84.9434 (err=2.7e-14)
7. Frigo-old: elapsed time t=1.7 s, 2 iters, t-(init.)=1.68 s
    t(norm)=0.293006, mflops=17.0645 (err=2.7e-14)
8. GSL: elapsed time t=1.66 s, 8 iters, t-(init.)=1.61 s
    t(norm)=0.0701993, mflops=71.2258 (err=2.7e-14)
9. NAPACK (f2c): elapsed time t=1.28 s, 2 iters, t-(init.)=1.27 s
    t(norm)=0.221498, mflops=22.5735 (err=1.6e-11)
10. Nielsen: elapsed time t=1.3 s, 2 iters, t-(init.)=1.28 s
    t(norm)=0.223242, mflops=22.3972 (err=1.6e-12)
11. Singleton: elapsed time t=1.35 s, 4 iters, t-(init.)=1.33 s
    t(norm)=0.115981, mflops=43.1104 (err=4.0e-14)
12. Singleton (f2c): elapsed time t=1.35 s, 4 iters, t-(init.)=1.33 s
    t(norm)=0.115981, mflops=43.1104 (err=4.0e-14)
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
15. Valkenburg: elapsed time t=2.49 s, 1 iters, t-(init.)=2.48 s
    t(norm)=0.865064, mflops=5.77992 (err=2.7e-14)
16. SCSL: elapsed time t=1.63 s, 8 iters, t-(init.)=1.59 s
    t(norm)=0.0693272, mflops=72.1217 (err=2.7e-14)
17. SGIMATH: elapsed time t=1.62 s, 8 iters, t-(init.)=1.57 s
    t(norm)=0.0684552, mflops=73.0405 (err=2.7e-14)

Top mflops for N=165375 = 153.924
Normalized results and averages for N=165375:
  fft 0: mflops = 12.7984 (norm. = 0.0831473), norm. avg. (of 15) = 0.0862988
  fft 1: mflops = 153.924 (norm. = 1), norm. avg. (of 18) = 0.680397
  fft 2: mflops = 153.924 (norm. = 1), norm. avg. (of 18) = 0.703282
  fft 3: mflops = 46.2393 (norm. = 0.300403), norm. avg. (of 18) = 0.516924
  fft 4: mflops = 15.2491 (norm. = 0.0990691), norm. avg. (of 18) = 0.137499
  fft 5: mflops = 76.9621 (norm. = 0.5), norm. avg. (of 18) = 0.875463
  fft 6: mflops = 84.9434 (norm. = 0.551852), norm. avg. (of 18) = 0.856159
  fft 7: mflops = 17.0645 (norm. = 0.110863), norm. avg. (of 18) = 0.154454
  fft 8: mflops = 71.2258 (norm. = 0.462733), norm. avg. (of 18) = 0.506589
  fft 9: mflops = 22.5735 (norm. = 0.146654), norm. avg. (of 18) = 0.172756
  fft 10: mflops = 22.3972 (norm. = 0.145508), norm. avg. (of 18) = 0.1386
  fft 11: mflops = 43.1104 (norm. = 0.280075), norm. avg. (of 18) = 0.312339
  fft 12: mflops = 43.1104 (norm. = 0.280075), norm. avg. (of 18) = 0.311216
  fft 13: mflops = -1 (norm. = -0.0064967), norm. avg. (of 12) = 0.266678
  fft 14: mflops = -1 (norm. = -0.0064967), norm. avg. (of 12) = 0.116967
  fft 15: mflops = 5.77992 (norm. = 0.0375504), norm. avg. (of 18) = 0.0397034
  fft 16: mflops = 72.1217 (norm. = 0.468553), norm. avg. (of 18) = 0.601671
  fft 17: mflops = 73.0405 (norm. = 0.474522), norm. avg. (of 18) = 0.60914

Benchmarking for array size = 362880:
0. Brenner: elapsed time t=3.25 s, 1 iters, t-(init.)=3.23 s
    t(norm)=0.48194, mflops=10.3747 (err=1.1e-13)
1. CWP (min N) (N=720720): elapsed time t=1.28 s, 2 iters, t-(init.)=1.18 s
    t(norm)=0.0880324, mflops=56.7973
2. CWP (best N) (N=720720): elapsed time t=1.27 s, 2 iters, t-(init.)=1.16 s
    t(norm)=0.0865403, mflops=57.7765
3. FFTPACK: elapsed time t=1.52 s, 2 iters, t-(init.)=1.47 s
    t(norm)=0.109667, mflops=45.5924 (err=1.1e-13)
4. FFTPACK (f2c): elapsed time t=1.87 s, 1 iters, t-(init.)=1.84 s
    t(norm)=0.274542, mflops=18.2122 (err=1.1e-13)

FFTW_MEASURE plan: (cost = 4.900000e-01)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 9
FFTW_TWIDDLE 6
FFTW_TWIDDLE 10
FFTW_TWIDDLE 7
FFTW_NOTW 12

5. FFTW: elapsed time t=1.01 s, 2 iters, t-(init.)=0.96 s
    t(norm)=0.0716196, mflops=69.8133 (err=1.1e-13)

FFTW_ESTIMATE plan: (cost = 7.511616e+06)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 32

6. FFTW_ESTIMATE: elapsed time t=1 s, 2 iters, t-(init.)=0.95 s
    t(norm)=0.0708735, mflops=70.5482 (err=1.1e-13)
7. Frigo-old: elapsed time t=1.9 s, 1 iters, t-(init.)=1.87 s
    t(norm)=0.279018, mflops=17.92 (err=1.1e-13)
8. GSL: elapsed time t=1.14 s, 2 iters, t-(init.)=1.09 s
    t(norm)=0.0813181, mflops=61.487 (err=1.1e-13)
9. NAPACK (f2c): elapsed time t=1.68 s, 1 iters, t-(init.)=1.66 s
    t(norm)=0.247684, mflops=20.187 (err=3.4e-11)
10. Nielsen: elapsed time t=2.45 s, 1 iters, t-(init.)=2.42 s
    t(norm)=0.361082, mflops=13.8473 (err=3.5e-12)
11. Singleton: elapsed time t=1.24 s, 1 iters, t-(init.)=1.23 s
    t(norm)=0.183525, mflops=27.2442 (err=1.6e-13)
12. Singleton (f2c): elapsed time t=1.26 s, 1 iters, t-(init.)=1.24 s
    t(norm)=0.185017, mflops=27.0245 (err=1.6e-13)
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
15. Valkenburg: elapsed time t=5.92 s, 1 iters, t-(init.)=5.89 s
    t(norm)=0.878832, mflops=5.68937 (err=1.1e-13)
16. SCSL: elapsed time t=1.8 s, 4 iters, t-(init.)=1.71 s
    t(norm)=0.0637862, mflops=78.3869 (err=1.1e-13)
17. SGIMATH: elapsed time t=1.81 s, 4 iters, t-(init.)=1.72 s
    t(norm)=0.0641592, mflops=77.9312 (err=1.1e-13)

Top mflops for N=362880 = 78.3869
Normalized results and averages for N=362880:
  fft 0: mflops = 10.3747 (norm. = 0.132353), norm. avg. (of 16) = 0.0891771
  fft 1: mflops = 56.7973 (norm. = 0.724576), norm. avg. (of 19) = 0.682723
  fft 2: mflops = 57.7765 (norm. = 0.737069), norm. avg. (of 19) = 0.70506
  fft 3: mflops = 45.5924 (norm. = 0.581633), norm. avg. (of 19) = 0.520329
  fft 4: mflops = 18.2122 (norm. = 0.232337), norm. avg. (of 19) = 0.14249
  fft 5: mflops = 69.8133 (norm. = 0.890625), norm. avg. (of 19) = 0.876261
  fft 6: mflops = 70.5482 (norm. = 0.9), norm. avg. (of 19) = 0.858466
  fft 7: mflops = 17.92 (norm. = 0.22861), norm. avg. (of 19) = 0.158357
  fft 8: mflops = 61.487 (norm. = 0.784404), norm. avg. (of 19) = 0.521211
  fft 9: mflops = 20.187 (norm. = 0.25753), norm. avg. (of 19) = 0.177217
  fft 10: mflops = 13.8473 (norm. = 0.176653), norm. avg. (of 19) = 0.140603
  fft 11: mflops = 27.2442 (norm. = 0.347561), norm. avg. (of 19) = 0.314193
  fft 12: mflops = 27.0245 (norm. = 0.344758), norm. avg. (of 19) = 0.312981
  fft 13: mflops = -1 (norm. = -0.0127572), norm. avg. (of 12) = 0.266678
  fft 14: mflops = -1 (norm. = -0.0127572), norm. avg. (of 12) = 0.116967
  fft 15: mflops = 5.68937 (norm. = 0.0725806), norm. avg. (of 19) = 0.0414337
  fft 16: mflops = 78.3869 (norm. = 1), norm. avg. (of 19) = 0.622635
  fft 17: mflops = 77.9312 (norm. = 0.994186), norm. avg. (of 19) = 0.629405
------------------------------------------------------
@@@@ bench.3d.p2.log
FFT Benchmark Program by M. Frigo and S. G. Johnson.
           email: fftw@theory.lcs.mit.edu
             www: http://theory.lcs.mit.edu/~fftw

Using FFTW V1.1 ($Id: executor.c,v 1.34 1997/04/30 13:15:56 fftw Exp $)

Maximum memory to use: 200 MB
Factors to allow: 2
Using double precision.

Measuring speed of 3D transforms:

Benchmarking for sizes:  4x4x4 (0.00282288 MB)  8x8x8 (0.0166779 MB)  16x16x16 (0.126419 MB)  32x32x32 (1.00215 MB)  64x64x64 (8.00362 MB)  256x64x32 (16.0061 MB)  16x1024x64 (32.0175 MB)  128x128x128 (64.0065 MB)  512x128x64 (128.011 MB)
Maximum array size N = 4194304

Benchmarking FFTs:
0. FFTW
1. HARM
2. HARM (f2c)
3. NR (C)
4. NR (F)
5. PDA
6. PDA (f2c)
7. Singleton
8. Singleton (f2c)
9. Temperton
10. Temperton (f2c)
11. SCSL


Computing normalized averages (12 transforms).

Benchmarking for array size = 4x4x4 (power of 2):
0. FFTW: elapsed time t=1.36 s, 131072 iters, t-(init.)=1.27 s
    t(norm)=0.0252326, mflops=198.156 (err=1.9e-16)
1. Skipping fft (all dimensions must be > 4 for HARM).
2. Skipping fft (all dimensions must be > 4 for HARM).
3. NR (C): elapsed time t=1.63 s, 65536 iters, t-(init.)=1.58 s
    t(norm)=0.0627836, mflops=79.6387 (err=2.4e-16)
4. NR (F): elapsed time t=1.23 s, 32768 iters, t-(init.)=1.21 s
    t(norm)=0.0961622, mflops=51.9955 (err=2.4e-16)
5. PDA: elapsed time t=1.46 s, 16384 iters, t-(init.)=1.45 s
    t(norm)=0.230471, mflops=21.6947 (err=2.8e-16)
6. PDA (f2c): elapsed time t=1.13 s, 8192 iters, t-(init.)=1.12 s
    t(norm)=0.356038, mflops=14.0434 (err=2.8e-16)
7. Singleton: elapsed time t=1.1 s, 65536 iters, t-(init.)=1.06 s
    t(norm)=0.0421206, mflops=118.707 (err=1.9e-16)
8. Singleton (f2c): elapsed time t=1.05 s, 65536 iters, t-(init.)=1 s
    t(norm)=0.0397364, mflops=125.829 (err=1.9e-16)
9. Temperton: elapsed time t=1.9 s, 65536 iters, t-(init.)=1.86 s
    t(norm)=0.0739098, mflops=67.6501 (err=1.9e-16)
10. Temperton (f2c): elapsed time t=1.1 s, 32768 iters, t-(init.)=1.08 s
    t(norm)=0.0858307, mflops=58.2542 (err=1.9e-16)
11. SCSL: elapsed time t=1.53 s, 65536 iters, t-(init.)=1.49 s
    t(norm)=0.0592073, mflops=84.4491 (err=1.9e-16)

Top mflops for N=64 = 198.156
Normalized results and averages for N=64:
  fft 0: mflops = 198.156 (norm. = 1), norm. avg. (of 1) = 1
  fft 1: mflops = -1 (norm. = -0.00504653), norm. avg. (of 0) = -1
  fft 2: mflops = -1 (norm. = -0.00504653), norm. avg. (of 0) = -1
  fft 3: mflops = 79.6387 (norm. = 0.401899), norm. avg. (of 1) = 0.401899
  fft 4: mflops = 51.9955 (norm. = 0.262397), norm. avg. (of 1) = 0.262397
  fft 5: mflops = 21.6947 (norm. = 0.109483), norm. avg. (of 1) = 0.109483
  fft 6: mflops = 14.0434 (norm. = 0.0708705), norm. avg. (of 1) = 0.0708705
  fft 7: mflops = 118.707 (norm. = 0.599057), norm. avg. (of 1) = 0.599057
  fft 8: mflops = 125.829 (norm. = 0.635), norm. avg. (of 1) = 0.635
  fft 9: mflops = 67.6501 (norm. = 0.341398), norm. avg. (of 1) = 0.341398
  fft 10: mflops = 58.2542 (norm. = 0.293981), norm. avg. (of 1) = 0.293981
  fft 11: mflops = 84.4491 (norm. = 0.426174), norm. avg. (of 1) = 0.426174

Benchmarking for array size = 8x8x8 (power of 2):
0. FFTW: elapsed time t=1.39 s, 16384 iters, t-(init.)=1.3 s
    t(norm)=0.0172191, mflops=290.375 (err=3.4e-16)
1. HARM: elapsed time t=1.59 s, 8192 iters, t-(init.)=1.55 s
    t(norm)=0.041061, mflops=121.77 (err=4.0e-16)
2. HARM (f2c): elapsed time t=1.8 s, 8192 iters, t-(init.)=1.76 s
    t(norm)=0.0466241, mflops=107.241 (err=4.0e-16)
3. NR (C): elapsed time t=1.61 s, 8192 iters, t-(init.)=1.56 s
    t(norm)=0.0413259, mflops=120.99 (err=3.5e-16)
4. NR (F): elapsed time t=1.16 s, 4096 iters, t-(init.)=1.13 s
    t(norm)=0.0598696, mflops=83.5149 (err=3.5e-16)
5. PDA: elapsed time t=1.16 s, 2048 iters, t-(init.)=1.15 s
    t(norm)=0.121858, mflops=41.0312 (err=3.1e-16)
6. PDA (f2c): elapsed time t=1.12 s, 1024 iters, t-(init.)=1.12 s
    t(norm)=0.237359, mflops=21.0651 (err=3.1e-16)
7. Singleton: elapsed time t=1.66 s, 8192 iters, t-(init.)=1.62 s
    t(norm)=0.0429153, mflops=116.508 (err=3.5e-16)
8. Singleton (f2c): elapsed time t=1.69 s, 8192 iters, t-(init.)=1.64 s
    t(norm)=0.0434452, mflops=115.088 (err=3.5e-16)
9. Temperton: elapsed time t=1.26 s, 8192 iters, t-(init.)=1.21 s
    t(norm)=0.0320541, mflops=155.987 (err=1.3e-08)
10. Temperton (f2c): elapsed time t=1.48 s, 8192 iters, t-(init.)=1.43 s
    t(norm)=0.0378821, mflops=131.989 (err=3.3e-16)
11. SCSL: elapsed time t=1.84 s, 16384 iters, t-(init.)=1.76 s
    t(norm)=0.023312, mflops=214.481 (err=3.5e-16)

Top mflops for N=512 = 290.375
Normalized results and averages for N=512:
  fft 0: mflops = 290.375 (norm. = 1), norm. avg. (of 2) = 1
  fft 1: mflops = 121.77 (norm. = 0.419355), norm. avg. (of 1) = 0.419355
  fft 2: mflops = 107.241 (norm. = 0.369318), norm. avg. (of 1) = 0.369318
  fft 3: mflops = 120.99 (norm. = 0.416667), norm. avg. (of 2) = 0.409283
  fft 4: mflops = 83.5149 (norm. = 0.287611), norm. avg. (of 2) = 0.275004
  fft 5: mflops = 41.0312 (norm. = 0.141304), norm. avg. (of 2) = 0.125394
  fft 6: mflops = 21.0651 (norm. = 0.0725446), norm. avg. (of 2) = 0.0717076
  fft 7: mflops = 116.508 (norm. = 0.401235), norm. avg. (of 2) = 0.500146
  fft 8: mflops = 115.088 (norm. = 0.396341), norm. avg. (of 2) = 0.515671
  fft 9: mflops = 155.987 (norm. = 0.53719), norm. avg. (of 2) = 0.439294
  fft 10: mflops = 131.989 (norm. = 0.454545), norm. avg. (of 2) = 0.374263
  fft 11: mflops = 214.481 (norm. = 0.738636), norm. avg. (of 2) = 0.582405

Benchmarking for array size = 16x16x16 (power of 2):
0. FFTW: elapsed time t=1.85 s, 1024 iters, t-(init.)=1.72 s
    t(norm)=0.0341733, mflops=146.313 (err=4.2e-16)
1. HARM: elapsed time t=1.38 s, 512 iters, t-(init.)=1.31 s
    t(norm)=0.0520547, mflops=96.0528 (err=4.0e-16)
2. HARM (f2c): elapsed time t=1.48 s, 512 iters, t-(init.)=1.41 s
    t(norm)=0.0560284, mflops=89.2405 (err=4.0e-16)
3. NR (C): elapsed time t=1.43 s, 256 iters, t-(init.)=1.4 s
    t(norm)=0.111262, mflops=44.939 (err=4.6e-16)
4. NR (F): elapsed time t=1.5 s, 256 iters, t-(init.)=1.46 s
    t(norm)=0.11603, mflops=43.0922 (err=4.6e-16)
5. PDA: elapsed time t=1.11 s, 256 iters, t-(init.)=1.07 s
    t(norm)=0.085036, mflops=58.7987 (err=3.9e-16)
6. PDA (f2c): elapsed time t=1.12 s, 128 iters, t-(init.)=1.11 s
    t(norm)=0.17643, mflops=28.3399 (err=3.9e-16)
7. Singleton: elapsed time t=1.95 s, 512 iters, t-(init.)=1.88 s
    t(norm)=0.0747045, mflops=66.9304 (err=4.1e-16)
8. Singleton (f2c): elapsed time t=1.94 s, 512 iters, t-(init.)=1.88 s
    t(norm)=0.0747045, mflops=66.9304 (err=4.1e-16)
9. Temperton: elapsed time t=1.81 s, 512 iters, t-(init.)=1.75 s
    t(norm)=0.0695388, mflops=71.9024 (err=6.3e-08)
10. Temperton (f2c): elapsed time t=1.58 s, 512 iters, t-(init.)=1.52 s
    t(norm)=0.0603994, mflops=82.7823 (err=4.5e-16)
11. SCSL: elapsed time t=1.45 s, 1024 iters, t-(init.)=1.32 s
    t(norm)=0.026226, mflops=190.65 (err=4.5e-16)

Top mflops for N=4096 = 190.65
Normalized results and averages for N=4096:
  fft 0: mflops = 146.313 (norm. = 0.767442), norm. avg. (of 3) = 0.922481
  fft 1: mflops = 96.0528 (norm. = 0.503817), norm. avg. (of 2) = 0.461586
  fft 2: mflops = 89.2405 (norm. = 0.468085), norm. avg. (of 2) = 0.418702
  fft 3: mflops = 44.939 (norm. = 0.235714), norm. avg. (of 3) = 0.351427
  fft 4: mflops = 43.0922 (norm. = 0.226027), norm. avg. (of 3) = 0.258678
  fft 5: mflops = 58.7987 (norm. = 0.308411), norm. avg. (of 3) = 0.186399
  fft 6: mflops = 28.3399 (norm. = 0.148649), norm. avg. (of 3) = 0.0973546
  fft 7: mflops = 66.9304 (norm. = 0.351064), norm. avg. (of 3) = 0.450452
  fft 8: mflops = 66.9304 (norm. = 0.351064), norm. avg. (of 3) = 0.460802
  fft 9: mflops = 71.9024 (norm. = 0.377143), norm. avg. (of 3) = 0.418577
  fft 10: mflops = 82.7823 (norm. = 0.434211), norm. avg. (of 3) = 0.394246
  fft 11: mflops = 190.65 (norm. = 1), norm. avg. (of 3) = 0.721604

Benchmarking for array size = 32x32x32 (power of 2):
0. FFTW: elapsed time t=1.23 s, 64 iters, t-(init.)=1.16 s
    t(norm)=0.0368754, mflops=135.592 (err=5.2e-16)
1. HARM: elapsed time t=1.03 s, 32 iters, t-(init.)=0.99 s
    t(norm)=0.0629425, mflops=79.4376 (err=5.0e-16)
2. HARM (f2c): elapsed time t=1.1 s, 32 iters, t-(init.)=1.07 s
    t(norm)=0.0680288, mflops=73.4983 (err=5.0e-16)
3. NR (C): elapsed time t=1.11 s, 16 iters, t-(init.)=1.09 s
    t(norm)=0.138601, mflops=36.0749 (err=5.2e-16)
4. NR (F): elapsed time t=1.11 s, 16 iters, t-(init.)=1.09 s
    t(norm)=0.138601, mflops=36.0749 (err=5.2e-16)
5. PDA: elapsed time t=1.23 s, 32 iters, t-(init.)=1.19 s
    t(norm)=0.0756582, mflops=66.0867 (err=4.3e-16)
6. PDA (f2c): elapsed time t=1.64 s, 16 iters, t-(init.)=1.63 s
    t(norm)=0.207265, mflops=24.1237 (err=4.3e-16)
7. Singleton: elapsed time t=1.55 s, 32 iters, t-(init.)=1.52 s
    t(norm)=0.096639, mflops=51.7389 (err=5.3e-16)
8. Singleton (f2c): elapsed time t=1.57 s, 32 iters, t-(init.)=1.53 s
    t(norm)=0.0972748, mflops=51.4008 (err=5.3e-16)
9. Temperton: elapsed time t=1.18 s, 32 iters, t-(init.)=1.15 s
    t(norm)=0.073115, mflops=68.3854 (err=9.6e-08)
10. Temperton (f2c): elapsed time t=1.14 s, 32 iters, t-(init.)=1.11 s
    t(norm)=0.0705719, mflops=70.8497 (err=4.9e-16)
11. SCSL: elapsed time t=1.58 s, 128 iters, t-(init.)=1.44 s
    t(norm)=0.0228882, mflops=218.453 (err=4.9e-16)

Top mflops for N=32768 = 218.453
Normalized results and averages for N=32768:
  fft 0: mflops = 135.592 (norm. = 0.62069), norm. avg. (of 4) = 0.847033
  fft 1: mflops = 79.4376 (norm. = 0.363636), norm. avg. (of 3) = 0.428936
  fft 2: mflops = 73.4983 (norm. = 0.336449), norm. avg. (of 3) = 0.391284
  fft 3: mflops = 36.0749 (norm. = 0.165138), norm. avg. (of 4) = 0.304854
  fft 4: mflops = 36.0749 (norm. = 0.165138), norm. avg. (of 4) = 0.235293
  fft 5: mflops = 66.0867 (norm. = 0.302521), norm. avg. (of 4) = 0.21543
  fft 6: mflops = 24.1237 (norm. = 0.110429), norm. avg. (of 4) = 0.100623
  fft 7: mflops = 51.7389 (norm. = 0.236842), norm. avg. (of 4) = 0.397049
  fft 8: mflops = 51.4008 (norm. = 0.235294), norm. avg. (of 4) = 0.404425
  fft 9: mflops = 68.3854 (norm. = 0.313043), norm. avg. (of 4) = 0.392194
  fft 10: mflops = 70.8497 (norm. = 0.324324), norm. avg. (of 4) = 0.376765
  fft 11: mflops = 218.453 (norm. = 1), norm. avg. (of 4) = 0.791203

Benchmarking for array size = 64x64x64 (power of 2):
0. FFTW: elapsed time t=1.21 s, 4 iters, t-(init.)=1.17 s
    t(norm)=0.0619888, mflops=80.6597 (err=1.2e-15)
1. HARM: elapsed time t=1.43 s, 4 iters, t-(init.)=1.39 s
    t(norm)=0.0736448, mflops=67.8934 (err=1.2e-15)
2. HARM (f2c): elapsed time t=1.42 s, 4 iters, t-(init.)=1.39 s
    t(norm)=0.0736448, mflops=67.8934 (err=1.2e-15)
3. NR (C): elapsed time t=1.99 s, 2 iters, t-(init.)=1.97 s
    t(norm)=0.208749, mflops=23.9522 (err=1.3e-15)
4. NR (F): elapsed time t=1 s, 1 iters, t-(init.)=0.99 s
    t(norm)=0.209808, mflops=23.8313 (err=1.3e-15)
5. PDA: elapsed time t=1.31 s, 2 iters, t-(init.)=1.29 s
    t(norm)=0.136693, mflops=36.5782 (err=1.2e-15)
6. PDA (f2c): elapsed time t=1.21 s, 1 iters, t-(init.)=1.2 s
    t(norm)=0.254313, mflops=19.6608 (err=1.2e-15)
7. Singleton: elapsed time t=1.24 s, 2 iters, t-(init.)=1.22 s
    t(norm)=0.129276, mflops=38.677 (err=1.7e-15)
8. Singleton (f2c): elapsed time t=1.25 s, 2 iters, t-(init.)=1.23 s
    t(norm)=0.130335, mflops=38.3625 (err=1.7e-15)
9. Temperton: elapsed time t=1.81 s, 4 iters, t-(init.)=1.77 s
    t(norm)=0.093778, mflops=53.3174 (err=1.3e-07)
10. Temperton (f2c): elapsed time t=1.78 s, 4 iters, t-(init.)=1.74 s
    t(norm)=0.0921885, mflops=54.2367 (err=1.3e-15)
11. SCSL: elapsed time t=1.14 s, 8 iters, t-(init.)=1.06 s
    t(norm)=0.0280804, mflops=178.06 (err=1.3e-15)

Top mflops for N=262144 = 178.06
Normalized results and averages for N=262144:
  fft 0: mflops = 80.6597 (norm. = 0.452991), norm. avg. (of 5) = 0.768225
  fft 1: mflops = 67.8934 (norm. = 0.381295), norm. avg. (of 4) = 0.417026
  fft 2: mflops = 67.8934 (norm. = 0.381295), norm. avg. (of 4) = 0.388787
  fft 3: mflops = 23.9522 (norm. = 0.134518), norm. avg. (of 5) = 0.270787
  fft 4: mflops = 23.8313 (norm. = 0.133838), norm. avg. (of 5) = 0.215002
  fft 5: mflops = 36.5782 (norm. = 0.205426), norm. avg. (of 5) = 0.213429
  fft 6: mflops = 19.6608 (norm. = 0.110417), norm. avg. (of 5) = 0.102582
  fft 7: mflops = 38.677 (norm. = 0.217213), norm. avg. (of 5) = 0.361082
  fft 8: mflops = 38.3625 (norm. = 0.215447), norm. avg. (of 5) = 0.366629
  fft 9: mflops = 53.3174 (norm. = 0.299435), norm. avg. (of 5) = 0.373642
  fft 10: mflops = 54.2367 (norm. = 0.304598), norm. avg. (of 5) = 0.362332
  fft 11: mflops = 178.06 (norm. = 1), norm. avg. (of 5) = 0.832962

Benchmarking for array size = 256x64x32 (power of 2):
0. FFTW: elapsed time t=1.24 s, 1 iters, t-(init.)=1.2 s
    t(norm)=0.120464, mflops=41.5061 (err=1.2e-15)
1. HARM: elapsed time t=1.8 s, 1 iters, t-(init.)=1.76 s
    t(norm)=0.176681, mflops=28.2996 (err=1.2e-15)
2. HARM (f2c): elapsed time t=1.52 s, 1 iters, t-(init.)=1.48 s
    t(norm)=0.148572, mflops=33.6536 (err=1.2e-15)
3. NR (C): elapsed time t=5.58 s, 1 iters, t-(init.)=5.54 s
    t(norm)=0.556143, mflops=8.9905 (err=1.3e-15)
4. NR (F): elapsed time t=5.59 s, 1 iters, t-(init.)=5.55 s
    t(norm)=0.557147, mflops=8.9743 (err=1.3e-15)
5. PDA: elapsed time t=1.85 s, 1 iters, t-(init.)=1.81 s
    t(norm)=0.1817, mflops=27.5179 (err=1.2e-15)
6. PDA (f2c): elapsed time t=2.96 s, 1 iters, t-(init.)=2.92 s
    t(norm)=0.293129, mflops=17.0573 (err=1.2e-15)
7. Singleton: elapsed time t=3.7 s, 1 iters, t-(init.)=3.67 s
    t(norm)=0.368419, mflops=13.5715 (err=1.7e-15)
8. Singleton (f2c): elapsed time t=3.77 s, 1 iters, t-(init.)=3.74 s
    t(norm)=0.375447, mflops=13.3175 (err=1.7e-15)
9. Temperton: elapsed time t=2.17 s, 1 iters, t-(init.)=2.13 s
    t(norm)=0.213824, mflops=23.3837 (err=1.5e-07)
10. Temperton (f2c): elapsed time t=2.21 s, 1 iters, t-(init.)=2.17 s
    t(norm)=0.217839, mflops=22.9527 (err=1.3e-15)
11. SCSL: elapsed time t=1.08 s, 2 iters, t-(init.)=1.01 s
    t(norm)=0.0506953, mflops=98.6284 (err=1.3e-15)

Top mflops for N=524288 = 98.6284
Normalized results and averages for N=524288:
  fft 0: mflops = 41.5061 (norm. = 0.420833), norm. avg. (of 6) = 0.710326
  fft 1: mflops = 28.2996 (norm. = 0.286932), norm. avg. (of 5) = 0.391007
  fft 2: mflops = 33.6536 (norm. = 0.341216), norm. avg. (of 5) = 0.379273
  fft 3: mflops = 8.9905 (norm. = 0.0911552), norm. avg. (of 6) = 0.240848
  fft 4: mflops = 8.9743 (norm. = 0.090991), norm. avg. (of 6) = 0.194334
  fft 5: mflops = 27.5179 (norm. = 0.279006), norm. avg. (of 6) = 0.224359
  fft 6: mflops = 17.0573 (norm. = 0.172945), norm. avg. (of 6) = 0.114309
  fft 7: mflops = 13.5715 (norm. = 0.137602), norm. avg. (of 6) = 0.323835
  fft 8: mflops = 13.3175 (norm. = 0.135027), norm. avg. (of 6) = 0.328029
  fft 9: mflops = 23.3837 (norm. = 0.237089), norm. avg. (of 6) = 0.350883
  fft 10: mflops = 22.9527 (norm. = 0.232719), norm. avg. (of 6) = 0.34073
  fft 11: mflops = 98.6284 (norm. = 1), norm. avg. (of 6) = 0.860802

Benchmarking for array size = 16x1024x64 (power of 2):
0. FFTW: elapsed time t=2.45 s, 1 iters, t-(init.)=2.37 s
    t(norm)=0.11301, mflops=44.2437 (err=2.0e-15)
1. HARM: elapsed time t=3.86 s, 1 iters, t-(init.)=3.77 s
    t(norm)=0.179768, mflops=27.8137 (err=1.9e-15)
2. HARM (f2c): elapsed time t=3.31 s, 1 iters, t-(init.)=3.23 s
    t(norm)=0.154018, mflops=32.4637 (err=1.9e-15)
3. NR (C): elapsed time t=14.2 s, 1 iters, t-(init.)=14.12 s
    t(norm)=0.673294, mflops=7.42618 (err=2.0e-15)
4. NR (F): elapsed time t=14.02 s, 1 iters, t-(init.)=13.94 s
    t(norm)=0.664711, mflops=7.52207 (err=2.0e-15)
5. PDA: elapsed time t=3.72 s, 1 iters, t-(init.)=3.64 s
    t(norm)=0.173569, mflops=28.807 (err=2.0e-15)
6. PDA (f2c): elapsed time t=5.93 s, 1 iters, t-(init.)=5.84 s
    t(norm)=0.278473, mflops=17.9551 (err=2.0e-15)
7. Singleton: elapsed time t=8.33 s, 1 iters, t-(init.)=8.25 s
    t(norm)=0.393391, mflops=12.71 (err=2.8e-15)
8. Singleton (f2c): elapsed time t=8.56 s, 1 iters, t-(init.)=8.47 s
    t(norm)=0.403881, mflops=12.3799 (err=2.8e-15)
9. Skipping fft (Temperton can't handle dimensions > 256).
10. Skipping fft (Temperton can't handle dimensions > 256).
11. SCSL: elapsed time t=1.99 s, 2 iters, t-(init.)=1.82 s
    t(norm)=0.0433922, mflops=115.228 (err=2.0e-15)

Top mflops for N=1048576 = 115.228
Normalized results and averages for N=1048576:
  fft 0: mflops = 44.2437 (norm. = 0.383966), norm. avg. (of 7) = 0.663703
  fft 1: mflops = 27.8137 (norm. = 0.241379), norm. avg. (of 6) = 0.366069
  fft 2: mflops = 32.4637 (norm. = 0.281734), norm. avg. (of 6) = 0.363016
  fft 3: mflops = 7.42618 (norm. = 0.0644476), norm. avg. (of 7) = 0.215648
  fft 4: mflops = 7.52207 (norm. = 0.0652798), norm. avg. (of 7) = 0.175897
  fft 5: mflops = 28.807 (norm. = 0.25), norm. avg. (of 7) = 0.228022
  fft 6: mflops = 17.9551 (norm. = 0.155822), norm. avg. (of 7) = 0.12024
  fft 7: mflops = 12.71 (norm. = 0.110303), norm. avg. (of 7) = 0.293331
  fft 8: mflops = 12.3799 (norm. = 0.107438), norm. avg. (of 7) = 0.296516
  fft 9: mflops = -1 (norm. = -0.00867844), norm. avg. (of 6) = 0.350883
  fft 10: mflops = -1 (norm. = -0.00867844), norm. avg. (of 6) = 0.34073
  fft 11: mflops = 115.228 (norm. = 1), norm. avg. (of 7) = 0.880687

Benchmarking for array size = 128x128x128 (power of 2):
0. FFTW: elapsed time t=5.7 s, 1 iters, t-(init.)=5.53 s
    t(norm)=0.125567, mflops=39.8193 (err=7.4e-16)
1. HARM: elapsed time t=7.78 s, 1 iters, t-(init.)=7.61 s
    t(norm)=0.172797, mflops=28.9357 (err=7.0e-16)
2. HARM (f2c): elapsed time t=7.01 s, 1 iters, t-(init.)=6.84 s
    t(norm)=0.155313, mflops=32.1931 (err=7.0e-16)
3. NR (C): elapsed time t=31.52 s, 1 iters, t-(init.)=31.35 s
    t(norm)=0.71185, mflops=7.02395 (err=7.8e-16)
4. NR (F): elapsed time t=31.52 s, 1 iters, t-(init.)=31.34 s
    t(norm)=0.711623, mflops=7.0262 (err=7.8e-16)
5. PDA: elapsed time t=8.35 s, 1 iters, t-(init.)=8.18 s
    t(norm)=0.185739, mflops=26.9194 (err=7.0e-16)
6. PDA (f2c): elapsed time t=13.4 s, 1 iters, t-(init.)=13.22 s
    t(norm)=0.30018, mflops=16.6567 (err=7.0e-16)
7. Singleton: elapsed time t=25.67 s, 1 iters, t-(init.)=25.5 s
    t(norm)=0.579017, mflops=8.63533 (err=8.4e-16)
8. Singleton (f2c): elapsed time t=26.13 s, 1 iters, t-(init.)=25.96 s
    t(norm)=0.589462, mflops=8.48232 (err=8.4e-16)
9. Temperton: elapsed time t=16.14 s, 1 iters, t-(init.)=15.97 s
    t(norm)=0.362623, mflops=13.7884 (err=1.5e-07)
10. Temperton (f2c): elapsed time t=16.86 s, 1 iters, t-(init.)=16.7 s
    t(norm)=0.379199, mflops=13.1857 (err=7.3e-16)
11. SCSL: elapsed time t=1.95 s, 1 iters, t-(init.)=1.78 s
    t(norm)=0.0404176, mflops=123.708 (err=7.3e-16)

Top mflops for N=2097152 = 123.708
Normalized results and averages for N=2097152:
  fft 0: mflops = 39.8193 (norm. = 0.321881), norm. avg. (of 8) = 0.620975
  fft 1: mflops = 28.9357 (norm. = 0.233903), norm. avg. (of 7) = 0.347188
  fft 2: mflops = 32.1931 (norm. = 0.260234), norm. avg. (of 7) = 0.348333
  fft 3: mflops = 7.02395 (norm. = 0.0567783), norm. avg. (of 8) = 0.19579
  fft 4: mflops = 7.0262 (norm. = 0.0567964), norm. avg. (of 8) = 0.16101
  fft 5: mflops = 26.9194 (norm. = 0.217604), norm. avg. (of 8) = 0.226719
  fft 6: mflops = 16.6567 (norm. = 0.134644), norm. avg. (of 8) = 0.12204
  fft 7: mflops = 8.63533 (norm. = 0.0698039), norm. avg. (of 8) = 0.26539
  fft 8: mflops = 8.48232 (norm. = 0.068567), norm. avg. (of 8) = 0.268022
  fft 9: mflops = 13.7884 (norm. = 0.111459), norm. avg. (of 7) = 0.31668
  fft 10: mflops = 13.1857 (norm. = 0.106587), norm. avg. (of 7) = 0.307281
  fft 11: mflops = 123.708 (norm. = 1), norm. avg. (of 8) = 0.895601

Benchmarking for array size = 512x128x64 (power of 2):
0. FFTW: elapsed time t=12.17 s, 1 iters, t-(init.)=11.83 s
    t(norm)=0.128204, mflops=39.0003 (err=1.3e-15)
1. HARM: elapsed time t=22.1 s, 1 iters, t-(init.)=21.75 s
    t(norm)=0.235709, mflops=21.2126 (err=1.2e-15)
2. HARM (f2c): elapsed time t=17.34 s, 1 iters, t-(init.)=17 s
    t(norm)=0.184233, mflops=27.1396 (err=1.2e-15)
3. NR (C): elapsed time t=68.76 s, 1 iters, t-(init.)=68.42 s
    t(norm)=0.741482, mflops=6.74325 (err=1.4e-15)
4. NR (F): elapsed time t=67.64 s, 1 iters, t-(init.)=67.3 s
    t(norm)=0.729344, mflops=6.85547 (err=1.4e-15)
5. PDA: elapsed time t=17.56 s, 1 iters, t-(init.)=17.21 s
    t(norm)=0.186508, mflops=26.8085 (err=1.3e-15)
6. PDA (f2c): elapsed time t=28.84 s, 1 iters, t-(init.)=28.49 s
    t(norm)=0.308752, mflops=16.1942 (err=1.3e-15)
7. Singleton: elapsed time t=49.87 s, 1 iters, t-(init.)=49.52 s
    t(norm)=0.536659, mflops=9.31691 (err=1.6e-15)
8. Singleton (f2c): elapsed time t=50.16 s, 1 iters, t-(init.)=49.81 s
    t(norm)=0.539801, mflops=9.26267 (err=1.6e-15)
9. Skipping fft (Temperton can't handle dimensions > 256).
10. Skipping fft (Temperton can't handle dimensions > 256).
11. SCSL: elapsed time t=4.13 s, 1 iters, t-(init.)=3.79 s
    t(norm)=0.041073, mflops=121.734 (err=1.4e-15)

Top mflops for N=4194304 = 121.734
Normalized results and averages for N=4194304:
  fft 0: mflops = 39.0003 (norm. = 0.320372), norm. avg. (of 9) = 0.587575
  fft 1: mflops = 21.2126 (norm. = 0.174253), norm. avg. (of 8) = 0.325571
  fft 2: mflops = 27.1396 (norm. = 0.222941), norm. avg. (of 8) = 0.332659
  fft 3: mflops = 6.74325 (norm. = 0.0553932), norm. avg. (of 9) = 0.18019
  fft 4: mflops = 6.85547 (norm. = 0.056315), norm. avg. (of 9) = 0.149377
  fft 5: mflops = 26.8085 (norm. = 0.220221), norm. avg. (of 9) = 0.225997
  fft 6: mflops = 16.1942 (norm. = 0.133029), norm. avg. (of 9) = 0.123261
  fft 7: mflops = 9.31691 (norm. = 0.0765347), norm. avg. (of 9) = 0.244406
  fft 8: mflops = 9.26267 (norm. = 0.0760891), norm. avg. (of 9) = 0.246696
  fft 9: mflops = -1 (norm. = -0.0082146), norm. avg. (of 7) = 0.31668
  fft 10: mflops = -1 (norm. = -0.0082146), norm. avg. (of 7) = 0.307281
  fft 11: mflops = 121.734 (norm. = 1), norm. avg. (of 9) = 0.907201
------------------------------------------------------
@@@@ bench.3d.np2.log
FFT Benchmark Program by M. Frigo and S. G. Johnson.
           email: fftw@theory.lcs.mit.edu
             www: http://theory.lcs.mit.edu/~fftw

Using FFTW V1.1 ($Id: executor.c,v 1.34 1997/04/30 13:15:56 fftw Exp $)

Maximum memory to use: 200 MB
Factors to allow: anything but 2
Using double precision.

Measuring speed of 3D transforms:

Benchmarking for sizes:  5x5x5 (0.00473022 MB)  6x6x6 (0.0075531 MB)  7x7x7 (0.0114746 MB)  9x9x9 (0.0233459 MB)  10x10x10 (0.031662 MB)  11x11x11 (0.0418091 MB)  12x12x12 (0.0539703 MB)  13x13x13 (0.0683289 MB)  14x14x14 (0.0850677 MB)  15x15x15 (0.10437 MB)  24x25x28 (0.514557 MB)  48x48x48 (3.37788 MB)  49x49x49 (3.59329 MB)  60x60x60 (6.59523 MB)  72x60x56 (7.38637 MB)  75x75x75 (12.8787 MB)  80x80x80 (15.6293 MB)  84x84x84 (18.0924 MB)  96x96x96 (27.0051 MB)  105x105x105 (35.3334 MB)  112x112x112 (42.8808 MB)  120x120x120 (52.7406 MB)  144x144x144 (91.1323 MB)  180x180x180 (177.987 MB)
Maximum array size N = 5832000

Benchmarking FFTs:
0. FFTW
1. PDA
2. PDA (f2c)
3. Singleton
4. Singleton (f2c)
5. Temperton
6. Temperton (f2c)
7. SCSL


Computing normalized averages (8 transforms).

Benchmarking for array size = 5x5x5:
0. FFTW: elapsed time t=1.78 s, 65536 iters, t-(init.)=1.69 s
    t(norm)=0.029616, mflops=168.828 (err=3.9e-16)
1. PDA: elapsed time t=1.25 s, 8192 iters, t-(init.)=1.24 s
    t(norm)=0.173841, mflops=28.7619 (err=3.0e-16)
2. PDA (f2c): elapsed time t=1.06 s, 4096 iters, t-(init.)=1.06 s
    t(norm)=0.297212, mflops=16.823 (err=3.0e-16)
3. Singleton: elapsed time t=1.79 s, 65536 iters, t-(init.)=1.71 s
    t(norm)=0.0299665, mflops=166.853 (err=3.4e-16)
4. Singleton (f2c): elapsed time t=1.75 s, 65536 iters, t-(init.)=1.67 s
    t(norm)=0.0292655, mflops=170.849 (err=3.4e-16)
5. Temperton: elapsed time t=1.26 s, 32768 iters, t-(init.)=1.22 s
    t(norm)=0.0427592, mflops=116.934 (err=5.5e-16)
6. Temperton (f2c): elapsed time t=1.08 s, 8192 iters, t-(init.)=1.07 s
    t(norm)=0.150008, mflops=33.3316 (err=2.5e-16)
7. SCSL: elapsed time t=1.77 s, 32768 iters, t-(init.)=1.72 s
    t(norm)=0.0602835, mflops=82.9414 (err=5.3e-16)

Top mflops for N=125 = 170.849
Normalized results and averages for N=125:
  fft 0: mflops = 168.828 (norm. = 0.988166), norm. avg. (of 1) = 0.988166
  fft 1: mflops = 28.7619 (norm. = 0.168347), norm. avg. (of 1) = 0.168347
  fft 2: mflops = 16.823 (norm. = 0.098467), norm. avg. (of 1) = 0.098467
  fft 3: mflops = 166.853 (norm. = 0.976608), norm. avg. (of 1) = 0.976608
  fft 4: mflops = 170.849 (norm. = 1), norm. avg. (of 1) = 1
  fft 5: mflops = 116.934 (norm. = 0.684426), norm. avg. (of 1) = 0.684426
  fft 6: mflops = 33.3316 (norm. = 0.195093), norm. avg. (of 1) = 0.195093
  fft 7: mflops = 82.9414 (norm. = 0.485465), norm. avg. (of 1) = 0.485465

Benchmarking for array size = 6x6x6:
0. FFTW: elapsed time t=1.3 s, 32768 iters, t-(init.)=1.23 s
    t(norm)=0.0224092, mflops=223.123 (err=2.9e-16)
1. PDA: elapsed time t=1.22 s, 4096 iters, t-(init.)=1.21 s
    t(norm)=0.176358, mflops=28.3514 (err=3.6e-16)
2. PDA (f2c): elapsed time t=1.08 s, 2048 iters, t-(init.)=1.07 s
    t(norm)=0.311907, mflops=16.0304 (err=3.6e-16)
3. Singleton: elapsed time t=1.54 s, 16384 iters, t-(init.)=1.5 s
    t(norm)=0.0546565, mflops=91.4804 (err=2.9e-16)
4. Singleton (f2c): elapsed time t=1.55 s, 16384 iters, t-(init.)=1.52 s
    t(norm)=0.0553853, mflops=90.2767 (err=2.9e-16)
5. Temperton: elapsed time t=1.31 s, 16384 iters, t-(init.)=1.27 s
    t(norm)=0.0462759, mflops=108.048 (err=2.1e-15)
6. Temperton (f2c): elapsed time t=1.9 s, 8192 iters, t-(init.)=1.88 s
    t(norm)=0.137006, mflops=36.4948 (err=3.1e-16)
7. SCSL: elapsed time t=1.72 s, 16384 iters, t-(init.)=1.68 s
    t(norm)=0.0612153, mflops=81.6789 (err=6.0e-16)

Top mflops for N=216 = 223.123
Normalized results and averages for N=216:
  fft 0: mflops = 223.123 (norm. = 1), norm. avg. (of 2) = 0.994083
  fft 1: mflops = 28.3514 (norm. = 0.127066), norm. avg. (of 2) = 0.147706
  fft 2: mflops = 16.0304 (norm. = 0.0718458), norm. avg. (of 2) = 0.0851564
  fft 3: mflops = 91.4804 (norm. = 0.41), norm. avg. (of 2) = 0.693304
  fft 4: mflops = 90.2767 (norm. = 0.404605), norm. avg. (of 2) = 0.702303
  fft 5: mflops = 108.048 (norm. = 0.484252), norm. avg. (of 2) = 0.584339
  fft 6: mflops = 36.4948 (norm. = 0.163564), norm. avg. (of 2) = 0.179329
  fft 7: mflops = 81.6789 (norm. = 0.366071), norm. avg. (of 2) = 0.425768

Benchmarking for array size = 7x7x7:
0. FFTW: elapsed time t=1.46 s, 16384 iters, t-(init.)=1.4 s
    t(norm)=0.0295798, mflops=169.034 (err=3.7e-16)
1. PDA: elapsed time t=1.25 s, 1024 iters, t-(init.)=1.25 s
    t(norm)=0.422569, mflops=11.8324 (err=4.9e-16)
2. PDA (f2c): elapsed time t=1.45 s, 512 iters, t-(init.)=1.45 s
    t(norm)=0.980359, mflops=5.10017 (err=4.9e-16)
3. Singleton: elapsed time t=1.67 s, 8192 iters, t-(init.)=1.64 s
    t(norm)=0.0693013, mflops=72.1487 (err=5.8e-16)
4. Singleton (f2c): elapsed time t=1.53 s, 8192 iters, t-(init.)=1.5 s
    t(norm)=0.0633853, mflops=78.8826 (err=5.8e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.6 s, 4096 iters, t-(init.)=1.58 s
    t(norm)=0.133532, mflops=37.4443 (err=6.0e-16)

Top mflops for N=343 = 169.034
Normalized results and averages for N=343:
  fft 0: mflops = 169.034 (norm. = 1), norm. avg. (of 3) = 0.996055
  fft 1: mflops = 11.8324 (norm. = 0.07), norm. avg. (of 3) = 0.121804
  fft 2: mflops = 5.10017 (norm. = 0.0301724), norm. avg. (of 3) = 0.0668284
  fft 3: mflops = 72.1487 (norm. = 0.426829), norm. avg. (of 3) = 0.604479
  fft 4: mflops = 78.8826 (norm. = 0.466667), norm. avg. (of 3) = 0.623757
  fft 5: mflops = -1 (norm. = -0.00591596), norm. avg. (of 2) = 0.584339
  fft 6: mflops = -1 (norm. = -0.00591596), norm. avg. (of 2) = 0.179329
  fft 7: mflops = 37.4443 (norm. = 0.221519), norm. avg. (of 3) = 0.357685

Benchmarking for array size = 9x9x9:
0. FFTW: elapsed time t=1.32 s, 8192 iters, t-(init.)=1.26 s
    t(norm)=0.0221862, mflops=225.365 (err=5.3e-16)
1. PDA: elapsed time t=1.53 s, 2048 iters, t-(init.)=1.51 s
    t(norm)=0.106353, mflops=47.0133 (err=4.1e-16)
2. PDA (f2c): elapsed time t=1.66 s, 1024 iters, t-(init.)=1.65 s
    t(norm)=0.232427, mflops=21.5121 (err=4.1e-16)
3. Singleton: elapsed time t=1.18 s, 4096 iters, t-(init.)=1.15 s
    t(norm)=0.0404986, mflops=123.461 (err=4.5e-16)
4. Singleton (f2c): elapsed time t=1.26 s, 4096 iters, t-(init.)=1.23 s
    t(norm)=0.0433159, mflops=115.431 (err=4.5e-16)
5. Temperton: elapsed time t=1.7 s, 8192 iters, t-(init.)=1.64 s
    t(norm)=0.0288773, mflops=173.147 (err=6.0e-08)
6. Temperton (f2c): elapsed time t=1.14 s, 1024 iters, t-(init.)=1.14 s
    t(norm)=0.160586, mflops=31.136 (err=4.8e-16)
7. SCSL: elapsed time t=1.22 s, 4096 iters, t-(init.)=1.18 s
    t(norm)=0.0415551, mflops=120.322 (err=8.4e-16)

Top mflops for N=729 = 225.365
Normalized results and averages for N=729:
  fft 0: mflops = 225.365 (norm. = 1), norm. avg. (of 4) = 0.997041
  fft 1: mflops = 47.0133 (norm. = 0.208609), norm. avg. (of 4) = 0.143506
  fft 2: mflops = 21.5121 (norm. = 0.0954545), norm. avg. (of 4) = 0.0739849
  fft 3: mflops = 123.461 (norm. = 0.547826), norm. avg. (of 4) = 0.590316
  fft 4: mflops = 115.431 (norm. = 0.512195), norm. avg. (of 4) = 0.595867
  fft 5: mflops = 173.147 (norm. = 0.768293), norm. avg. (of 3) = 0.645657
  fft 6: mflops = 31.136 (norm. = 0.138158), norm. avg. (of 3) = 0.165605
  fft 7: mflops = 120.322 (norm. = 0.533898), norm. avg. (of 4) = 0.401738

Benchmarking for array size = 10x10x10:
0. FFTW: elapsed time t=1.86 s, 8192 iters, t-(init.)=1.77 s
    t(norm)=0.0216806, mflops=230.621 (err=4.8e-16)
1. PDA: elapsed time t=1.01 s, 1024 iters, t-(init.)=1 s
    t(norm)=0.0979915, mflops=51.0248 (err=4.7e-16)
2. PDA (f2c): elapsed time t=1.07 s, 512 iters, t-(init.)=1.06 s
    t(norm)=0.207742, mflops=24.0683 (err=4.7e-16)
3. Singleton: elapsed time t=1.83 s, 4096 iters, t-(init.)=1.79 s
    t(norm)=0.0438512, mflops=114.022 (err=5.4e-16)
4. Singleton (f2c): elapsed time t=1.8 s, 4096 iters, t-(init.)=1.76 s
    t(norm)=0.0431163, mflops=115.965 (err=5.4e-16)
5. Temperton: elapsed time t=1.1 s, 4096 iters, t-(init.)=1.06 s
    t(norm)=0.0259678, mflops=192.546 (err=6.6e-16)
6. Temperton (f2c): elapsed time t=1.07 s, 1024 iters, t-(init.)=1.06 s
    t(norm)=0.103871, mflops=48.1366 (err=3.9e-16)
7. SCSL: elapsed time t=1.57 s, 4096 iters, t-(init.)=1.53 s
    t(norm)=0.0374818, mflops=133.398 (err=7.0e-16)

Top mflops for N=1000 = 230.621
Normalized results and averages for N=1000:
  fft 0: mflops = 230.621 (norm. = 1), norm. avg. (of 5) = 0.997633
  fft 1: mflops = 51.0248 (norm. = 0.22125), norm. avg. (of 5) = 0.159054
  fft 2: mflops = 24.0683 (norm. = 0.104363), norm. avg. (of 5) = 0.0800606
  fft 3: mflops = 114.022 (norm. = 0.494413), norm. avg. (of 5) = 0.571135
  fft 4: mflops = 115.965 (norm. = 0.502841), norm. avg. (of 5) = 0.577262
  fft 5: mflops = 192.546 (norm. = 0.834906), norm. avg. (of 4) = 0.692969
  fft 6: mflops = 48.1366 (norm. = 0.208726), norm. avg. (of 4) = 0.176385
  fft 7: mflops = 133.398 (norm. = 0.578431), norm. avg. (of 5) = 0.437077

Benchmarking for array size = 11x11x11:
0. FFTW: elapsed time t=1.17 s, 2048 iters, t-(init.)=1.15 s
    t(norm)=0.0406503, mflops=123 (err=4.4e-16)
1. PDA: elapsed time t=1.49 s, 256 iters, t-(init.)=1.49 s
    t(norm)=0.421349, mflops=11.8666 (err=5.3e-16)
2. PDA (f2c): elapsed time t=1.85 s, 128 iters, t-(init.)=1.85 s
    t(norm)=1.0463, mflops=4.77873 (err=5.3e-16)
3. Singleton: elapsed time t=1.1 s, 1024 iters, t-(init.)=1.09 s
    t(norm)=0.0770588, mflops=64.8855 (err=6.6e-16)
4. Singleton (f2c): elapsed time t=1.03 s, 1024 iters, t-(init.)=1.01 s
    t(norm)=0.0714031, mflops=70.0249 (err=6.6e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.06 s, 512 iters, t-(init.)=1.06 s
    t(norm)=0.149876, mflops=33.3609 (err=5.8e-16)

Top mflops for N=1331 = 123
Normalized results and averages for N=1331:
  fft 0: mflops = 123 (norm. = 1), norm. avg. (of 6) = 0.998028
  fft 1: mflops = 11.8666 (norm. = 0.0964765), norm. avg. (of 6) = 0.148625
  fft 2: mflops = 4.77873 (norm. = 0.0388514), norm. avg. (of 6) = 0.0731924
  fft 3: mflops = 64.8855 (norm. = 0.527523), norm. avg. (of 6) = 0.563867
  fft 4: mflops = 70.0249 (norm. = 0.569307), norm. avg. (of 6) = 0.575936
  fft 5: mflops = -1 (norm. = -0.00813006), norm. avg. (of 4) = 0.692969
  fft 6: mflops = -1 (norm. = -0.00813006), norm. avg. (of 4) = 0.176385
  fft 7: mflops = 33.3609 (norm. = 0.271226), norm. avg. (of 6) = 0.409435

Benchmarking for array size = 12x12x12:
0. FFTW: elapsed time t=1.45 s, 4096 iters, t-(init.)=1.38 s
    t(norm)=0.0181288, mflops=275.804 (err=3.9e-16)
1. PDA: elapsed time t=1.56 s, 1024 iters, t-(init.)=1.54 s
    t(norm)=0.0809228, mflops=61.7872 (err=3.8e-16)
2. PDA (f2c): elapsed time t=1.79 s, 512 iters, t-(init.)=1.79 s
    t(norm)=0.188119, mflops=26.5789 (err=3.8e-16)
3. Singleton: elapsed time t=1.63 s, 2048 iters, t-(init.)=1.59 s
    t(norm)=0.0417751, mflops=119.689 (err=4.0e-16)
4. Singleton (f2c): elapsed time t=1.66 s, 2048 iters, t-(init.)=1.62 s
    t(norm)=0.0425633, mflops=117.472 (err=4.0e-16)
5. Temperton: elapsed time t=1.65 s, 4096 iters, t-(init.)=1.58 s
    t(norm)=0.0207562, mflops=240.892 (err=1.8e-15)
6. Temperton (f2c): elapsed time t=1.53 s, 1024 iters, t-(init.)=1.51 s
    t(norm)=0.0793464, mflops=63.0148 (err=3.9e-16)
7. SCSL: elapsed time t=1.56 s, 2048 iters, t-(init.)=1.53 s
    t(norm)=0.0401987, mflops=124.382 (err=5.1e-16)

Top mflops for N=1728 = 275.804
Normalized results and averages for N=1728:
  fft 0: mflops = 275.804 (norm. = 1), norm. avg. (of 7) = 0.998309
  fft 1: mflops = 61.7872 (norm. = 0.224026), norm. avg. (of 7) = 0.159396
  fft 2: mflops = 26.5789 (norm. = 0.0963687), norm. avg. (of 7) = 0.0765033
  fft 3: mflops = 119.689 (norm. = 0.433962), norm. avg. (of 7) = 0.545309
  fft 4: mflops = 117.472 (norm. = 0.425926), norm. avg. (of 7) = 0.554506
  fft 5: mflops = 240.892 (norm. = 0.873418), norm. avg. (of 5) = 0.729059
  fft 6: mflops = 63.0148 (norm. = 0.228477), norm. avg. (of 5) = 0.186804
  fft 7: mflops = 124.382 (norm. = 0.45098), norm. avg. (of 7) = 0.41537

Benchmarking for array size = 13x13x13:
0. FFTW: elapsed time t=1.12 s, 1024 iters, t-(init.)=1.09 s
    t(norm)=0.0436437, mflops=114.564 (err=7.8e-16)
1. PDA: elapsed time t=1.34 s, 128 iters, t-(init.)=1.34 s
    t(norm)=0.42923, mflops=11.6488 (err=1.2e-15)
2. PDA (f2c): elapsed time t=1.72 s, 64 iters, t-(init.)=1.72 s
    t(norm)=1.1019, mflops=4.5376 (err=1.2e-15)
3. Singleton: elapsed time t=1.91 s, 1024 iters, t-(init.)=1.87 s
    t(norm)=0.074875, mflops=66.7779 (err=1.5e-15)
4. Singleton (f2c): elapsed time t=1.72 s, 1024 iters, t-(init.)=1.68 s
    t(norm)=0.0672674, mflops=74.3302 (err=1.5e-15)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.98 s, 512 iters, t-(init.)=1.96 s
    t(norm)=0.156957, mflops=31.8558 (err=1.1e-15)

Top mflops for N=2197 = 114.564
Normalized results and averages for N=2197:
  fft 0: mflops = 114.564 (norm. = 1), norm. avg. (of 8) = 0.998521
  fft 1: mflops = 11.6488 (norm. = 0.101679), norm. avg. (of 8) = 0.152182
  fft 2: mflops = 4.5376 (norm. = 0.0396076), norm. avg. (of 8) = 0.0718913
  fft 3: mflops = 66.7779 (norm. = 0.582888), norm. avg. (of 8) = 0.550006
  fft 4: mflops = 74.3302 (norm. = 0.64881), norm. avg. (of 8) = 0.566294
  fft 5: mflops = -1 (norm. = -0.00872875), norm. avg. (of 5) = 0.729059
  fft 6: mflops = -1 (norm. = -0.00872875), norm. avg. (of 5) = 0.186804
  fft 7: mflops = 31.8558 (norm. = 0.278061), norm. avg. (of 8) = 0.398207

Benchmarking for array size = 14x14x14:
0. FFTW: elapsed time t=1.08 s, 1024 iters, t-(init.)=1 s
    t(norm)=0.0311581, mflops=160.472 (err=4.1e-16)
1. PDA: elapsed time t=1.65 s, 256 iters, t-(init.)=1.63 s
    t(norm)=0.203151, mflops=24.6122 (err=5.0e-16)
2. PDA (f2c): elapsed time t=1.25 s, 64 iters, t-(init.)=1.24 s
    t(norm)=0.618177, mflops=8.0883 (err=5.0e-16)
3. Singleton: elapsed time t=1.28 s, 512 iters, t-(init.)=1.24 s
    t(norm)=0.0772722, mflops=64.7064 (err=5.6e-16)
4. Singleton (f2c): elapsed time t=1.22 s, 512 iters, t-(init.)=1.18 s
    t(norm)=0.0735332, mflops=67.9965 (err=5.6e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.1 s, 256 iters, t-(init.)=1.08 s
    t(norm)=0.134603, mflops=37.1462 (err=5.8e-16)

Top mflops for N=2744 = 160.472
Normalized results and averages for N=2744:
  fft 0: mflops = 160.472 (norm. = 1), norm. avg. (of 9) = 0.998685
  fft 1: mflops = 24.6122 (norm. = 0.153374), norm. avg. (of 9) = 0.152314
  fft 2: mflops = 8.0883 (norm. = 0.0504032), norm. avg. (of 9) = 0.0695038
  fft 3: mflops = 64.7064 (norm. = 0.403226), norm. avg. (of 9) = 0.533697
  fft 4: mflops = 67.9965 (norm. = 0.423729), norm. avg. (of 9) = 0.550453
  fft 5: mflops = -1 (norm. = -0.00623163), norm. avg. (of 5) = 0.729059
  fft 6: mflops = -1 (norm. = -0.00623163), norm. avg. (of 5) = 0.186804
  fft 7: mflops = 37.1462 (norm. = 0.231481), norm. avg. (of 9) = 0.379682

Benchmarking for array size = 15x15x15:
0. FFTW: elapsed time t=1.3 s, 1024 iters, t-(init.)=1.19 s
    t(norm)=0.0293779, mflops=170.196 (err=5.4e-16)
1. PDA: elapsed time t=1.49 s, 512 iters, t-(init.)=1.44 s
    t(norm)=0.0710995, mflops=70.324 (err=5.3e-16)
2. PDA (f2c): elapsed time t=1.82 s, 256 iters, t-(init.)=1.8 s
    t(norm)=0.177749, mflops=28.1296 (err=5.3e-16)
3. Singleton: elapsed time t=1.17 s, 512 iters, t-(init.)=1.12 s
    t(norm)=0.0552996, mflops=90.4166 (err=6.7e-16)
4. Singleton (f2c): elapsed time t=1.2 s, 512 iters, t-(init.)=1.15 s
    t(norm)=0.0567808, mflops=88.0579 (err=6.7e-16)
5. Temperton: elapsed time t=1.15 s, 1024 iters, t-(init.)=1.04 s
    t(norm)=0.0256748, mflops=194.743 (err=2.1e-15)
6. Temperton (f2c): elapsed time t=1.39 s, 256 iters, t-(init.)=1.37 s
    t(norm)=0.135286, mflops=36.9586 (err=5.2e-16)
7. SCSL: elapsed time t=1.7 s, 1024 iters, t-(init.)=1.59 s
    t(norm)=0.0392528, mflops=127.379 (err=6.4e-16)

Top mflops for N=3375 = 194.743
Normalized results and averages for N=3375:
  fft 0: mflops = 170.196 (norm. = 0.87395), norm. avg. (of 10) = 0.986212
  fft 1: mflops = 70.324 (norm. = 0.361111), norm. avg. (of 10) = 0.173194
  fft 2: mflops = 28.1296 (norm. = 0.144444), norm. avg. (of 10) = 0.0769978
  fft 3: mflops = 90.4166 (norm. = 0.464286), norm. avg. (of 10) = 0.526756
  fft 4: mflops = 88.0579 (norm. = 0.452174), norm. avg. (of 10) = 0.540625
  fft 5: mflops = 194.743 (norm. = 1), norm. avg. (of 6) = 0.774216
  fft 6: mflops = 36.9586 (norm. = 0.189781), norm. avg. (of 6) = 0.1873
  fft 7: mflops = 127.379 (norm. = 0.654088), norm. avg. (of 10) = 0.407122

Benchmarking for array size = 24x25x28:
0. FFTW: elapsed time t=1.38 s, 128 iters, t-(init.)=1.31 s
    t(norm)=0.0434014, mflops=115.204 (err=5.1e-16)
1. PDA: elapsed time t=1.3 s, 64 iters, t-(init.)=1.26 s
    t(norm)=0.0834896, mflops=59.8877 (err=4.9e-16)
2. PDA (f2c): elapsed time t=1.95 s, 32 iters, t-(init.)=1.93 s
    t(norm)=0.25577, mflops=19.5488 (err=4.9e-16)
3. Singleton: elapsed time t=1.11 s, 64 iters, t-(init.)=1.08 s
    t(norm)=0.0715625, mflops=69.869 (err=5.3e-16)
4. Singleton (f2c): elapsed time t=1.08 s, 64 iters, t-(init.)=1.05 s
    t(norm)=0.0695747, mflops=71.8652 (err=5.3e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.85 s, 128 iters, t-(init.)=1.78 s
    t(norm)=0.0589728, mflops=84.7848 (err=6.7e-16)

Top mflops for N=16800 = 115.204
Normalized results and averages for N=16800:
  fft 0: mflops = 115.204 (norm. = 1), norm. avg. (of 11) = 0.987465
  fft 1: mflops = 59.8877 (norm. = 0.519841), norm. avg. (of 11) = 0.204707
  fft 2: mflops = 19.5488 (norm. = 0.169689), norm. avg. (of 11) = 0.0854243
  fft 3: mflops = 69.869 (norm. = 0.606481), norm. avg. (of 11) = 0.534004
  fft 4: mflops = 71.8652 (norm. = 0.62381), norm. avg. (of 11) = 0.548188
  fft 5: mflops = -1 (norm. = -0.00868027), norm. avg. (of 6) = 0.774216
  fft 6: mflops = -1 (norm. = -0.00868027), norm. avg. (of 6) = 0.1873
  fft 7: mflops = 84.7848 (norm. = 0.735955), norm. avg. (of 11) = 0.437016

Benchmarking for array size = 48x48x48:
0. FFTW: elapsed time t=1.28 s, 16 iters, t-(init.)=1.22 s
    t(norm)=0.0411505, mflops=121.505 (err=6.7e-16)
1. PDA: elapsed time t=1.02 s, 8 iters, t-(init.)=0.99 s
    t(norm)=0.0667852, mflops=74.8669 (err=6.4e-16)
2. PDA (f2c): elapsed time t=1.45 s, 4 iters, t-(init.)=1.43 s
    t(norm)=0.192935, mflops=25.9155 (err=6.4e-16)
3. Singleton: elapsed time t=1.4 s, 8 iters, t-(init.)=1.37 s
    t(norm)=0.0924199, mflops=54.1009 (err=6.5e-16)
4. Singleton (f2c): elapsed time t=1.39 s, 8 iters, t-(init.)=1.36 s
    t(norm)=0.0917453, mflops=54.4987 (err=6.5e-16)
5. Temperton: elapsed time t=1.02 s, 8 iters, t-(init.)=0.99 s
    t(norm)=0.0667852, mflops=74.8669 (err=1.0e-07)
6. Temperton (f2c): elapsed time t=1.36 s, 8 iters, t-(init.)=1.33 s
    t(norm)=0.0897215, mflops=55.728 (err=7.3e-16)
7. SCSL: elapsed time t=1.95 s, 32 iters, t-(init.)=1.84 s
    t(norm)=0.0310315, mflops=161.127 (err=6.9e-16)

Top mflops for N=110592 = 161.127
Normalized results and averages for N=110592:
  fft 0: mflops = 121.505 (norm. = 0.754098), norm. avg. (of 12) = 0.968018
  fft 1: mflops = 74.8669 (norm. = 0.464646), norm. avg. (of 12) = 0.226369
  fft 2: mflops = 25.9155 (norm. = 0.160839), norm. avg. (of 12) = 0.0917089
  fft 3: mflops = 54.1009 (norm. = 0.335766), norm. avg. (of 12) = 0.517484
  fft 4: mflops = 54.4987 (norm. = 0.338235), norm. avg. (of 12) = 0.530691
  fft 5: mflops = 74.8669 (norm. = 0.464646), norm. avg. (of 7) = 0.729992
  fft 6: mflops = 55.728 (norm. = 0.345865), norm. avg. (of 7) = 0.209952
  fft 7: mflops = 161.127 (norm. = 1), norm. avg. (of 12) = 0.483931

Benchmarking for array size = 49x49x49:
0. FFTW: elapsed time t=1.43 s, 16 iters, t-(init.)=1.37 s
    t(norm)=0.043208, mflops=115.719 (err=6.8e-16)
1. PDA: elapsed time t=1.37 s, 4 iters, t-(init.)=1.35 s
    t(norm)=0.170309, mflops=29.3584 (err=7.6e-16)
2. PDA (f2c): elapsed time t=1.22 s, 1 iters, t-(init.)=1.21 s
    t(norm)=0.610588, mflops=8.18882 (err=7.6e-16)
3. Singleton: elapsed time t=1.66 s, 8 iters, t-(init.)=1.63 s
    t(norm)=0.102816, mflops=48.6306 (err=1.0e-15)
4. Singleton (f2c): elapsed time t=1.57 s, 8 iters, t-(init.)=1.54 s
    t(norm)=0.0971391, mflops=51.4726 (err=1.0e-15)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.03 s, 4 iters, t-(init.)=1.01 s
    t(norm)=0.127416, mflops=39.2415 (err=8.3e-16)

Top mflops for N=117649 = 115.719
Normalized results and averages for N=117649:
  fft 0: mflops = 115.719 (norm. = 1), norm. avg. (of 13) = 0.970478
  fft 1: mflops = 29.3584 (norm. = 0.253704), norm. avg. (of 13) = 0.228472
  fft 2: mflops = 8.18882 (norm. = 0.0707645), norm. avg. (of 13) = 0.0900978
  fft 3: mflops = 48.6306 (norm. = 0.420245), norm. avg. (of 13) = 0.510004
  fft 4: mflops = 51.4726 (norm. = 0.444805), norm. avg. (of 13) = 0.524085
  fft 5: mflops = -1 (norm. = -0.00864159), norm. avg. (of 7) = 0.729992
  fft 6: mflops = -1 (norm. = -0.00864159), norm. avg. (of 7) = 0.209952
  fft 7: mflops = 39.2415 (norm. = 0.339109), norm. avg. (of 13) = 0.472791

Benchmarking for array size = 60x60x60:
0. FFTW: elapsed time t=1.36 s, 8 iters, t-(init.)=1.3 s
    t(norm)=0.0424541, mflops=117.774 (err=7.6e-16)
1. PDA: elapsed time t=1.49 s, 4 iters, t-(init.)=1.46 s
    t(norm)=0.0953584, mflops=52.4338 (err=7.7e-16)
2. PDA (f2c): elapsed time t=1.71 s, 2 iters, t-(init.)=1.69 s
    t(norm)=0.220761, mflops=22.6489 (err=7.7e-16)
3. Singleton: elapsed time t=1.86 s, 4 iters, t-(init.)=1.83 s
    t(norm)=0.119525, mflops=41.8324 (err=1.0e-15)
4. Singleton (f2c): elapsed time t=1.87 s, 4 iters, t-(init.)=1.84 s
    t(norm)=0.120178, mflops=41.6051 (err=1.0e-15)
5. Temperton: elapsed time t=1.01 s, 8 iters, t-(init.)=0.95 s
    t(norm)=0.0310241, mflops=161.165 (err=2.0e-15)
6. Temperton (f2c): elapsed time t=1.61 s, 4 iters, t-(init.)=1.58 s
    t(norm)=0.103196, mflops=48.4515 (err=7.3e-16)
7. SCSL: elapsed time t=1.12 s, 8 iters, t-(init.)=1.06 s
    t(norm)=0.0346164, mflops=144.44 (err=9.0e-16)

Top mflops for N=216000 = 161.165
Normalized results and averages for N=216000:
  fft 0: mflops = 117.774 (norm. = 0.730769), norm. avg. (of 14) = 0.953356
  fft 1: mflops = 52.4338 (norm. = 0.325342), norm. avg. (of 14) = 0.235391
  fft 2: mflops = 22.6489 (norm. = 0.140533), norm. avg. (of 14) = 0.0937003
  fft 3: mflops = 41.8324 (norm. = 0.259563), norm. avg. (of 14) = 0.492116
  fft 4: mflops = 41.6051 (norm. = 0.258152), norm. avg. (of 14) = 0.50509
  fft 5: mflops = 161.165 (norm. = 1), norm. avg. (of 8) = 0.763743
  fft 6: mflops = 48.4515 (norm. = 0.300633), norm. avg. (of 8) = 0.221287
  fft 7: mflops = 144.44 (norm. = 0.896226), norm. avg. (of 14) = 0.503037

Benchmarking for array size = 72x60x56:
0. FFTW: elapsed time t=1.85 s, 8 iters, t-(init.)=1.78 s
    t(norm)=0.0514268, mflops=97.2256 (err=7.5e-16)
1. PDA: elapsed time t=1.04 s, 2 iters, t-(init.)=1.03 s
    t(norm)=0.119033, mflops=42.0052 (err=8.0e-16)
2. PDA (f2c): elapsed time t=1.26 s, 1 iters, t-(init.)=1.25 s
    t(norm)=0.288915, mflops=17.3062 (err=8.0e-16)
3. Singleton: elapsed time t=1.19 s, 2 iters, t-(init.)=1.17 s
    t(norm)=0.135212, mflops=36.979 (err=9.3e-16)
4. Singleton (f2c): elapsed time t=1.19 s, 2 iters, t-(init.)=1.18 s
    t(norm)=0.136368, mflops=36.6656 (err=9.3e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.85 s, 8 iters, t-(init.)=1.78 s
    t(norm)=0.0514268, mflops=97.2256 (err=9.6e-16)

Top mflops for N=241920 = 97.2256
Normalized results and averages for N=241920:
  fft 0: mflops = 97.2256 (norm. = 1), norm. avg. (of 15) = 0.956466
  fft 1: mflops = 42.0052 (norm. = 0.432039), norm. avg. (of 15) = 0.248501
  fft 2: mflops = 17.3062 (norm. = 0.178), norm. avg. (of 15) = 0.0993202
  fft 3: mflops = 36.979 (norm. = 0.380342), norm. avg. (of 15) = 0.484664
  fft 4: mflops = 36.6656 (norm. = 0.377119), norm. avg. (of 15) = 0.496558
  fft 5: mflops = -1 (norm. = -0.0102854), norm. avg. (of 8) = 0.763743
  fft 6: mflops = -1 (norm. = -0.0102854), norm. avg. (of 8) = 0.221287
  fft 7: mflops = 97.2256 (norm. = 1), norm. avg. (of 15) = 0.536168

Benchmarking for array size = 75x75x75:
0. FFTW: elapsed time t=1.95 s, 4 iters, t-(init.)=1.84 s
    t(norm)=0.0583508, mflops=85.6886 (err=7.6e-16)
1. PDA: elapsed time t=1.82 s, 2 iters, t-(init.)=1.77 s
    t(norm)=0.112262, mflops=44.5387 (err=7.9e-16)
2. PDA (f2c): elapsed time t=1.87 s, 1 iters, t-(init.)=1.85 s
    t(norm)=0.234672, mflops=21.3063 (err=7.9e-16)
3. Singleton: elapsed time t=1.34 s, 1 iters, t-(init.)=1.31 s
    t(norm)=0.166173, mflops=30.0891 (err=9.8e-16)
4. Singleton (f2c): elapsed time t=1.37 s, 1 iters, t-(init.)=1.34 s
    t(norm)=0.169979, mflops=29.4155 (err=9.8e-16)
5. Temperton: elapsed time t=1.21 s, 2 iters, t-(init.)=1.11 s
    t(norm)=0.0704016, mflops=71.0212 (err=1.4e-07)
6. Temperton (f2c): elapsed time t=1.31 s, 1 iters, t-(init.)=1.25 s
    t(norm)=0.158562, mflops=31.5334 (err=9.7e-16)
7. SCSL: elapsed time t=1.47 s, 4 iters, t-(init.)=1.33 s
    t(norm)=0.0421775, mflops=118.547 (err=1.0e-15)

Top mflops for N=421875 = 118.547
Normalized results and averages for N=421875:
  fft 0: mflops = 85.6886 (norm. = 0.722826), norm. avg. (of 16) = 0.941863
  fft 1: mflops = 44.5387 (norm. = 0.375706), norm. avg. (of 16) = 0.256451
  fft 2: mflops = 21.3063 (norm. = 0.17973), norm. avg. (of 16) = 0.104346
  fft 3: mflops = 30.0891 (norm. = 0.253817), norm. avg. (of 16) = 0.470236
  fft 4: mflops = 29.4155 (norm. = 0.248134), norm. avg. (of 16) = 0.481032
  fft 5: mflops = 71.0212 (norm. = 0.599099), norm. avg. (of 9) = 0.745449
  fft 6: mflops = 31.5334 (norm. = 0.266), norm. avg. (of 9) = 0.226255
  fft 7: mflops = 118.547 (norm. = 1), norm. avg. (of 16) = 0.565157

Benchmarking for array size = 80x80x80:
0. FFTW: elapsed time t=1.24 s, 2 iters, t-(init.)=1.17 s
    t(norm)=0.0602442, mflops=82.9956 (err=6.7e-16)
1. PDA: elapsed time t=1.29 s, 1 iters, t-(init.)=1.25 s
    t(norm)=0.128727, mflops=38.8419 (err=6.1e-16)
2. PDA (f2c): elapsed time t=2.32 s, 1 iters, t-(init.)=2.29 s
    t(norm)=0.235828, mflops=21.2019 (err=6.1e-16)
3. Singleton: elapsed time t=1.77 s, 1 iters, t-(init.)=1.74 s
    t(norm)=0.179188, mflops=27.9037 (err=7.9e-16)
4. Singleton (f2c): elapsed time t=1.78 s, 1 iters, t-(init.)=1.74 s
    t(norm)=0.179188, mflops=27.9037 (err=7.9e-16)
5. Temperton: elapsed time t=1.58 s, 2 iters, t-(init.)=1.51 s
    t(norm)=0.077751, mflops=64.3078 (err=1.7e-07)
6. Temperton (f2c): elapsed time t=1.04 s, 1 iters, t-(init.)=1 s
    t(norm)=0.102982, mflops=48.5524 (err=6.7e-16)
7. SCSL: elapsed time t=1.58 s, 4 iters, t-(init.)=1.44 s
    t(norm)=0.0370733, mflops=134.868 (err=7.6e-16)

Top mflops for N=512000 = 134.868
Normalized results and averages for N=512000:
  fft 0: mflops = 82.9956 (norm. = 0.615385), norm. avg. (of 17) = 0.922658
  fft 1: mflops = 38.8419 (norm. = 0.288), norm. avg. (of 17) = 0.258307
  fft 2: mflops = 21.2019 (norm. = 0.157205), norm. avg. (of 17) = 0.107455
  fft 3: mflops = 27.9037 (norm. = 0.206897), norm. avg. (of 17) = 0.454745
  fft 4: mflops = 27.9037 (norm. = 0.206897), norm. avg. (of 17) = 0.464906
  fft 5: mflops = 64.3078 (norm. = 0.476821), norm. avg. (of 10) = 0.718586
  fft 6: mflops = 48.5524 (norm. = 0.36), norm. avg. (of 10) = 0.23963
  fft 7: mflops = 134.868 (norm. = 1), norm. avg. (of 17) = 0.590736

Benchmarking for array size = 84x84x84:
0. FFTW: elapsed time t=1.41 s, 2 iters, t-(init.)=1.33 s
    t(norm)=0.0585065, mflops=85.4606 (err=7.0e-16)
1. PDA: elapsed time t=1.92 s, 1 iters, t-(init.)=1.88 s
    t(norm)=0.165402, mflops=30.2294 (err=7.0e-16)
2. PDA (f2c): elapsed time t=4.54 s, 1 iters, t-(init.)=4.49 s
    t(norm)=0.395029, mflops=12.6573 (err=7.0e-16)
3. Singleton: elapsed time t=2.76 s, 1 iters, t-(init.)=2.72 s
    t(norm)=0.239305, mflops=20.8939 (err=8.9e-16)
4. Singleton (f2c): elapsed time t=2.75 s, 1 iters, t-(init.)=2.71 s
    t(norm)=0.238425, mflops=20.971 (err=8.9e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.82 s, 2 iters, t-(init.)=1.73 s
    t(norm)=0.0761025, mflops=65.7009 (err=9.7e-16)

Top mflops for N=592704 = 85.4606
Normalized results and averages for N=592704:
  fft 0: mflops = 85.4606 (norm. = 1), norm. avg. (of 18) = 0.926955
  fft 1: mflops = 30.2294 (norm. = 0.353723), norm. avg. (of 18) = 0.263608
  fft 2: mflops = 12.6573 (norm. = 0.148107), norm. avg. (of 18) = 0.109714
  fft 3: mflops = 20.8939 (norm. = 0.244485), norm. avg. (of 18) = 0.443064
  fft 4: mflops = 20.971 (norm. = 0.245387), norm. avg. (of 18) = 0.452711
  fft 5: mflops = -1 (norm. = -0.0117013), norm. avg. (of 10) = 0.718586
  fft 6: mflops = -1 (norm. = -0.0117013), norm. avg. (of 10) = 0.23963
  fft 7: mflops = 65.7009 (norm. = 0.768786), norm. avg. (of 18) = 0.600628

Benchmarking for array size = 96x96x96:
0. FFTW: elapsed time t=1.36 s, 1 iters, t-(init.)=1.29 s
    t(norm)=0.0738077, mflops=67.7436 (err=7.7e-16)
1. PDA: elapsed time t=2.33 s, 1 iters, t-(init.)=2.26 s
    t(norm)=0.129306, mflops=38.6678 (err=6.5e-16)
2. PDA (f2c): elapsed time t=4.48 s, 1 iters, t-(init.)=4.41 s
    t(norm)=0.252319, mflops=19.8162 (err=6.5e-16)
3. Singleton: elapsed time t=5.74 s, 1 iters, t-(init.)=5.68 s
    t(norm)=0.324983, mflops=15.3854 (err=7.0e-16)
4. Singleton (f2c): elapsed time t=5.89 s, 1 iters, t-(init.)=5.83 s
    t(norm)=0.333565, mflops=14.9896 (err=7.0e-16)
5. Temperton: elapsed time t=1.78 s, 1 iters, t-(init.)=1.7 s
    t(norm)=0.0972659, mflops=51.4055 (err=1.6e-07)
6. Temperton (f2c): elapsed time t=2.07 s, 1 iters, t-(init.)=2 s
    t(norm)=0.11443, mflops=43.6947 (err=7.7e-16)
7. SCSL: elapsed time t=1.45 s, 2 iters, t-(init.)=1.31 s
    t(norm)=0.037476, mflops=133.419 (err=7.7e-16)

Top mflops for N=884736 = 133.419
Normalized results and averages for N=884736:
  fft 0: mflops = 67.7436 (norm. = 0.507752), norm. avg. (of 19) = 0.904892
  fft 1: mflops = 38.6678 (norm. = 0.289823), norm. avg. (of 19) = 0.264988
  fft 2: mflops = 19.8162 (norm. = 0.148526), norm. avg. (of 19) = 0.111756
  fft 3: mflops = 15.3854 (norm. = 0.115317), norm. avg. (of 19) = 0.425814
  fft 4: mflops = 14.9896 (norm. = 0.11235), norm. avg. (of 19) = 0.434797
  fft 5: mflops = 51.4055 (norm. = 0.385294), norm. avg. (of 11) = 0.688287
  fft 6: mflops = 43.6947 (norm. = 0.3275), norm. avg. (of 11) = 0.247618
  fft 7: mflops = 133.419 (norm. = 1), norm. avg. (of 19) = 0.621647

Benchmarking for array size = 105x105x105:
0. FFTW: elapsed time t=1.66 s, 1 iters, t-(init.)=1.56 s
    t(norm)=0.0669019, mflops=74.7363 (err=7.5e-16)
1. PDA: elapsed time t=3.79 s, 1 iters, t-(init.)=3.69 s
    t(norm)=0.158249, mflops=31.5958 (err=7.3e-16)
2. PDA (f2c): elapsed time t=8.98 s, 1 iters, t-(init.)=8.89 s
    t(norm)=0.381255, mflops=13.1146 (err=7.3e-16)
3. Singleton: elapsed time t=5.73 s, 1 iters, t-(init.)=5.64 s
    t(norm)=0.241876, mflops=20.6718 (err=7.8e-16)
4. Singleton (f2c): elapsed time t=5.69 s, 1 iters, t-(init.)=5.6 s
    t(norm)=0.240161, mflops=20.8194 (err=7.8e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=1.84 s, 1 iters, t-(init.)=1.74 s
    t(norm)=0.0746213, mflops=67.005 (err=9.6e-16)

Top mflops for N=1157625 = 74.7363
Normalized results and averages for N=1157625:
  fft 0: mflops = 74.7363 (norm. = 1), norm. avg. (of 20) = 0.909647
  fft 1: mflops = 31.5958 (norm. = 0.422764), norm. avg. (of 20) = 0.272876
  fft 2: mflops = 13.1146 (norm. = 0.175478), norm. avg. (of 20) = 0.114942
  fft 3: mflops = 20.6718 (norm. = 0.276596), norm. avg. (of 20) = 0.418354
  fft 4: mflops = 20.8194 (norm. = 0.278571), norm. avg. (of 20) = 0.426986
  fft 5: mflops = -1 (norm. = -0.0133804), norm. avg. (of 11) = 0.688287
  fft 6: mflops = -1 (norm. = -0.0133804), norm. avg. (of 11) = 0.247618
  fft 7: mflops = 67.005 (norm. = 0.896552), norm. avg. (of 20) = 0.635393

Benchmarking for array size = 112x112x112:
0. FFTW: elapsed time t=2.07 s, 1 iters, t-(init.)=1.96 s
    t(norm)=0.0683128, mflops=73.1927 (err=5.5e-16)
1. PDA: elapsed time t=4.73 s, 1 iters, t-(init.)=4.61 s
    t(norm)=0.160675, mflops=31.1188 (err=5.6e-16)
2. PDA (f2c): elapsed time t=10.85 s, 1 iters, t-(init.)=10.73 s
    t(norm)=0.373978, mflops=13.3698 (err=5.6e-16)
3. Singleton: elapsed time t=7.05 s, 1 iters, t-(init.)=6.93 s
    t(norm)=0.241535, mflops=20.701 (err=6.4e-16)
4. Singleton (f2c): elapsed time t=7.51 s, 1 iters, t-(init.)=7.4 s
    t(norm)=0.257916, mflops=19.3862 (err=6.4e-16)
5. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
6. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
7. SCSL: elapsed time t=2.12 s, 1 iters, t-(init.)=2.01 s
    t(norm)=0.0700555, mflops=71.372 (err=6.6e-16)

Top mflops for N=1404928 = 73.1927
Normalized results and averages for N=1404928:
  fft 0: mflops = 73.1927 (norm. = 1), norm. avg. (of 21) = 0.91395
  fft 1: mflops = 31.1188 (norm. = 0.425163), norm. avg. (of 21) = 0.280128
  fft 2: mflops = 13.3698 (norm. = 0.182665), norm. avg. (of 21) = 0.118167
  fft 3: mflops = 20.701 (norm. = 0.282828), norm. avg. (of 21) = 0.4119
  fft 4: mflops = 19.3862 (norm. = 0.264865), norm. avg. (of 21) = 0.419266
  fft 5: mflops = -1 (norm. = -0.0136626), norm. avg. (of 11) = 0.688287
  fft 6: mflops = -1 (norm. = -0.0136626), norm. avg. (of 11) = 0.247618
  fft 7: mflops = 71.372 (norm. = 0.975124), norm. avg. (of 21) = 0.65157

Benchmarking for array size = 120x120x120:
0. FFTW: elapsed time t=2.4 s, 1 iters, t-(init.)=2.26 s
    t(norm)=0.0631191, mflops=79.2153 (err=7.5e-16)
1. PDA: elapsed time t=4.15 s, 1 iters, t-(init.)=3.97 s
    t(norm)=0.110877, mflops=45.0949 (err=8.1e-16)
2. PDA (f2c): elapsed time t=8.51 s, 1 iters, t-(init.)=8.37 s
    t(norm)=0.233764, mflops=21.3891 (err=8.1e-16)
3. Singleton: elapsed time t=12.39 s, 1 iters, t-(init.)=12.22 s
    t(norm)=0.34129, mflops=14.6503 (err=9.6e-16)
4. Singleton (f2c): elapsed time t=12.37 s, 1 iters, t-(init.)=12.24 s
    t(norm)=0.341849, mflops=14.6264 (err=9.6e-16)
5. Temperton: elapsed time t=2.43 s, 1 iters, t-(init.)=2.29 s
    t(norm)=0.063957, mflops=78.1776 (err=1.1e-08)
6. Temperton (f2c): elapsed time t=4.46 s, 1 iters, t-(init.)=4.29 s
    t(norm)=0.119815, mflops=41.7311 (err=7.1e-16)
7. SCSL: elapsed time t=1.62 s, 1 iters, t-(init.)=1.48 s
    t(norm)=0.0413346, mflops=120.964 (err=8.9e-16)

Top mflops for N=1728000 = 120.964
Normalized results and averages for N=1728000:
  fft 0: mflops = 79.2153 (norm. = 0.654867), norm. avg. (of 22) = 0.902173
  fft 1: mflops = 45.0949 (norm. = 0.372796), norm. avg. (of 22) = 0.28434
  fft 2: mflops = 21.3891 (norm. = 0.176822), norm. avg. (of 22) = 0.120833
  fft 3: mflops = 14.6503 (norm. = 0.121113), norm. avg. (of 22) = 0.398682
  fft 4: mflops = 14.6264 (norm. = 0.120915), norm. avg. (of 22) = 0.405704
  fft 5: mflops = 78.1776 (norm. = 0.646288), norm. avg. (of 12) = 0.684787
  fft 6: mflops = 41.7311 (norm. = 0.344988), norm. avg. (of 12) = 0.255732
  fft 7: mflops = 120.964 (norm. = 1), norm. avg. (of 22) = 0.667408

Benchmarking for array size = 144x144x144:
0. FFTW: elapsed time t=4.75 s, 1 iters, t-(init.)=4.49 s
    t(norm)=0.0699074, mflops=71.5232 (err=1.2e-15)
1. PDA: elapsed time t=7.42 s, 1 iters, t-(init.)=7.18 s
    t(norm)=0.11179, mflops=44.7269 (err=1.2e-15)
2. PDA (f2c): elapsed time t=15.24 s, 1 iters, t-(init.)=14.97 s
    t(norm)=0.233076, mflops=21.4522 (err=1.2e-15)
3. Singleton: elapsed time t=23.84 s, 1 iters, t-(init.)=23.59 s
    t(norm)=0.367286, mflops=13.6134 (err=1.6e-15)
4. Singleton (f2c): elapsed time t=23.28 s, 1 iters, t-(init.)=22.76 s
    t(norm)=0.354363, mflops=14.1098 (err=1.6e-15)
5. Temperton: elapsed time t=6.15 s, 1 iters, t-(init.)=5.91 s
    t(norm)=0.0920162, mflops=54.3383 (err=1.8e-07)
6. Temperton (f2c): elapsed time t=8.45 s, 1 iters, t-(init.)=8.2 s
    t(norm)=0.12767, mflops=39.1633 (err=1.2e-15)
7. SCSL: elapsed time t=2.81 s, 1 iters, t-(init.)=2.56 s
    t(norm)=0.0398581, mflops=125.445 (err=1.3e-15)

Top mflops for N=2985984 = 125.445
Normalized results and averages for N=2985984:
  fft 0: mflops = 71.5232 (norm. = 0.570156), norm. avg. (of 23) = 0.887738
  fft 1: mflops = 44.7269 (norm. = 0.356546), norm. avg. (of 23) = 0.28748
  fft 2: mflops = 21.4522 (norm. = 0.171009), norm. avg. (of 23) = 0.123015
  fft 3: mflops = 13.6134 (norm. = 0.108521), norm. avg. (of 23) = 0.386067
  fft 4: mflops = 14.1098 (norm. = 0.112478), norm. avg. (of 23) = 0.392955
  fft 5: mflops = 54.3383 (norm. = 0.433164), norm. avg. (of 13) = 0.665431
  fft 6: mflops = 39.1633 (norm. = 0.312195), norm. avg. (of 13) = 0.260075
  fft 7: mflops = 125.445 (norm. = 1), norm. avg. (of 23) = 0.681868

Benchmarking for array size = 180x180x180:
0. FFTW: elapsed time t=9.75 s, 1 iters, t-(init.)=9.28 s
    t(norm)=0.0707978, mflops=70.6236 (err=9.7e-16)
1. PDA: elapsed time t=14.44 s, 1 iters, t-(init.)=13.96 s
    t(norm)=0.106502, mflops=46.9475 (err=9.5e-16)
2. PDA (f2c): elapsed time t=30.03 s, 1 iters, t-(init.)=29.54 s
    t(norm)=0.225363, mflops=22.1864 (err=9.5e-16)
3. Singleton: elapsed time t=51.35 s, 1 iters, t-(init.)=50.87 s
    t(norm)=0.388091, mflops=12.8836 (err=1.2e-15)
4. Singleton (f2c): elapsed time t=51.59 s, 1 iters, t-(init.)=51.1 s
    t(norm)=0.389846, mflops=12.8256 (err=1.2e-15)
5. Temperton: elapsed time t=9.79 s, 1 iters, t-(init.)=9.17 s
    t(norm)=0.0699586, mflops=71.4708 (err=9.9e-08)
6. Temperton (f2c): elapsed time t=18.55 s, 1 iters, t-(init.)=17.94 s
    t(norm)=0.136866, mflops=36.5322 (err=9.4e-16)
7. SCSL: elapsed time t=6.13 s, 1 iters, t-(init.)=5.65 s
    t(norm)=0.0431043, mflops=115.998 (err=1.2e-15)

Top mflops for N=5832000 = 115.998
Normalized results and averages for N=5832000:
  fft 0: mflops = 70.6236 (norm. = 0.608836), norm. avg. (of 24) = 0.876117
  fft 1: mflops = 46.9475 (norm. = 0.404728), norm. avg. (of 24) = 0.292365
  fft 2: mflops = 22.1864 (norm. = 0.191266), norm. avg. (of 24) = 0.125859
  fft 3: mflops = 12.8836 (norm. = 0.111067), norm. avg. (of 24) = 0.374608
  fft 4: mflops = 12.8256 (norm. = 0.110568), norm. avg. (of 24) = 0.381189
  fft 5: mflops = 71.4708 (norm. = 0.61614), norm. avg. (of 14) = 0.661911
  fft 6: mflops = 36.5322 (norm. = 0.314939), norm. avg. (of 14) = 0.263994
  fft 7: mflops = 115.998 (norm. = 1), norm. avg. (of 24) = 0.695124
------------------------------------------------------
@@@@ bench.1d.p2.dat
N, Arndt DIF, Arndt DIT, Arndt Split-Radix, Arndt 4-step, Bailey, Beauregard, Bergland, Brenner, Burrus, CWP (min N), CWP (best N), Edelblute, FFTPACK, FFTPACK (f2c), FFTW, FFTW_ESTIMATE, Frigo-old, Green, GSL, GSL DIT, GSL DIF, Krukar, Mayer (Buneman), Mayer (simple), Mayer (lookup), Monro, NAPACK (f2c), Nielsen, NR (C), NR (F), Ooura (C), Ooura (F), Ransom, SCIPORT, Singleton, Singleton (f2c), Sorensen, Sorensen DIT, Temperton, Temperton (f2c), Valkenburg, SCSL, SGIMATH
2, 49.9322, 41.1206, 30.3935, 1.22497, 12.4092, 10.6998, 4.40578, 7.13317, 20.9715, 3.29741, 3.36082, , 9.89223, 6.63656, 24.3855, 24.6724, 48.771, , 5.72992, 9.98644, 11.4598, 33.026, , , , , 5.34988, 2.31986, 11.5228, 7.59838, 65.536, 25.575, , , 6.20459, 6.5536, 20.5603, 19.5996, 3.12076, 2.70252, 7.13317, 13.6179, 10.3819
4, 69.9051, 72.3156, 45.1, 5.57753, 22.55, 17.05, 14.3641, 15.0874, 33.2881, 12.0526, 6.85344, 49.9322, 33.026, 18.3961, 92.1825, 86.4805, 107.546, , 20.7639, 17.1898, 18.5589, 105.517, 41.943, 44.6203, 35.5449, 5.09017, 10.4858, 8.81156, 18.5589, 13.7069, 92.1825, 65.536, 6.76501, 44.1506, 22.0753, 23.6966, 38.8361, 32.2639, 10.5917, 9.19804, 6.89853, 49.0562, 49.0562
8, 116.508, 119.837, 52.8694, 6.5536, 42.2245, 17.5739, 25.3688, 22.7951, 36.1578, 30.541, 20.295, 44.306, 49.539, 23.4756, 174.763, 173.557, 270.6, 113.36, 41.6653, 27.5941, 27.5941, 164.483, 63.5501, 62.2916, 57.1951, 11.9156, 16.7326, 21.8453, 27.8383, 21.1123, 133.861, 93.9023, 6.34219, 59.3534, 23.1304, 22.4695, 51.15, 36.7921, 21.5461, 14.8383, 6.83854, 117.597, 118.707
16, 75.573, 79.1378, 57.4562, 14.8734, 57.0654, 23.0456, 39.5689, 31.775, 42.3667, 69.3273, 41.5278, 46.0913, 102.3, 36.1578, 234.646, 228.261, 319.566, 87.3813, 76.2601, 37.7865, 39.5689, 193.956, 58.6616, 67.6501, 63.5501, 18.8933, 27.2357, 19.065, 38.13, 30.1748, 144.631, 127.1, 22.0753, 73.5843, 57.4562, 58.2542, 67.1089, 41.5278, 27.2357, 27.7768, 7.23156, 190.65, 189.573
32, 93.6229, 97.9978, 64.3298, 15.7918, 83.8861, 25.9549, 54.8993, 40.3298, 47.2332, 88.1156, 89.6219, 50.9017, 105.917, 26.4792, 211.834, 209.715, 287.281, 127.1, 78.2519, 50.4123, 50.4123, 201.649, 66.7883, 83.2203, 79.4376, 28.1875, 34.7211, 30.3057, 48.5452, 40.3298, 165.13, 146.654, 17.9551, 88.8624, 77.1012, 76.5384, 91.1805, 47.6625, 35.9101, 33.1828, 7.28178, 211.834, 236.966
64, 93.9023, 94.6084, 71.0899, 30.8405, 87.3813, 27.8383, 64.8604, 46.2607, 53.3174, 116.508, 123.362, 56.1737, 160.292, 34.1927, 218.833, 192.106, 196.608, 173.557, 109.417, 56.6798, 58.2542, 190.65, 68.3854, 88.6121, 87.9924, 34.9525, 44.6203, 42.799, 56.1737, 49.152, 178.481, 175.985, 38.5979, 99.8644, 106.635, 107.546, 114.39, 53.7731, 52.4288, 47.3042, 7.63526, 259.441, 254.2
128, 105.612, 107.154, 77.2635, 29.1271, 107.154, 28.4497, 71.2624, 53.1886, 59.1938, 146.801, 168.736, 61.1669, 173.729, 35.6312, 240.657, 203.89, 227.598, 177.94, 126.552, 63.2761, 62.7353, 179.025, 75.6704, 99.8644, 99.1896, 41.943, 46.4559, 34.9525, 62.7353, 56.0308, 182.361, 182.361, 34.9525, 111.213, 107.942, 105.612, 139.81, 60.6614, 53.1886, 50.2742, 7.58268, 299.593, 299.593
256, 108.24, 108.24, 83.8861, 37.1177, 99.8644, 29.5374, 80.6597, 55.9241, 64.5278, 184.365, 213.722, 66.5763, 209.715, 41.1206, 203.36, 193.956, 196.225, 198.547, 137.518, 69.9051, 68.7591, 167.772, 79.8915, 103.563, 106.861, 46.0913, 54.4715, 43.2402, 67.6501, 62.6016, 191.74, 200.925, 53.4306, 118.149, 136.4, 135.3, 155.345, 64.5278, 55.9241, 56.2994, 7.71012, 316.551, 313.593
512, 115.794, 117.965, 87.3813, 38.3625, 112.347, 29.6767, 87.3813, 60.8851, 68.8846, 202.95, 210.887, 71.4938, 171.585, 33.9467, 213.27, 212.072, 188.744, 218.201, 117.965, 72.0396, 71.4938, 158.608, 85.0197, 112.347, 111.683, 51.289, 51.8527, 51.289, 70.9563, 67.4085, 194.581, 200.791, 49.9322, 115.794, 139.81, 140.853, 171.585, 69.9051, 54.5502, 51.289, 7.9171, 328.25, 269.634
1024, 117.818, 118.483, 92.7943, 46.8114, 85.2501, 28.6496, 91.9804, 63.5501, 73.8434, 203.607, 207.639, 75.4371, 145.636, 36.1578, 201.649, 177.725, 177.725, 220.753, 127.875, 71.8203, 69.9051, 89.6219, 88.1156, 114.598, 117.159, 54.3304, 57.2992, 42.2813, 73.327, 71.8203, 201.649, 209.715, 63.9376, 104.858, 153.077, 155.345, 182.361, 73.8434, 63.1672, 59.9186, 7.8019, 231.73, 241.052
2048, 98.5841, 101.178, 81.2277, 42.0961, 35.1657, 28.2704, 94.5437, 62.6866, 63.3755, 178.827, 193.854, 67.4523, 66.6725, 28.2704, 162.455, 152.773, 102.074, 174.763, 59.4553, 67.4523, 66.2893, 80.6597, 90.8215, 116.508, 110.907, 50.5892, 32.0398, 40.6139, 72.0896, 73.9381, 165.962, 172.154, 60.0747, 44.0242, 136.501, 132.579, 102.985, 56.5409, 53.3997, 52.4288, 4.90405, 136.501, 135.698
4096, 48.3958, 49.9322, 44.306, 42.799, 21.2549, 24.576, 66.2259, 45.923, 37.6734, 154.392, 167.772, 39.8193, 51.9955, 31.775, 122.164, 127.1, 83.3305, 106.635, 46.9512, 38.3625, 37.4491, 59.3534, 87.9924, 109.417, 99.8644, 33.6441, 32.768, 37.2276, 38.3625, 41.3912, 98.304, 95.3251, 62.9146, 42.5098, 69.5189, 70.6905, 62.2916, 34.3795, 39.5689, 39.8193, 5.8689, 140.591, 139.81
8192, 49.0341, 50.1158, 38.7258, 40.0926, 21.0362, 24.3419, 61.4031, 45.1374, 34.4229, 154.903, 167.258, 36.6438, 44.2581, 24.5171, 118.535, 118.535, 85.1968, 95.3251, 41.0587, 36.254, 36.0621, , 54.9657, 61.4031, 56.7979, 33.4105, 28.8803, 31.5544, 37.2445, 39.1709, 94.6631, 92.7312, 58.7564, 40.8128, 64.2995, 64.2995, 52.8352, 30.9807, 36.0621, 35.6845, 6.08549, 151.461, 155.788
16384, 44.7563, 46.1637, 37.4491, 47.9741, 19.9457, 24.4668, 61.6809, 44.485, 32.768, 164.945, 164.945, 35.9805, 46.1637, 26.9854, 113.799, 106.377, 76.859, 92.3274, 42.6746, 34.9525, 34.2992, , 53.5769, 56.8995, 56.4618, 32.1931, 29.3601, 33.3638, 35.9805, 37.4491, 84.8559, 80.6597, 69.2456, 39.0427, 61.1669, 63.8264, 44.7563, 30.3307, 37.0709, 36.7002, 6.07619, 152.917, 154.527
32768, 46.5344, 46.8114, 35.4249, 44.1816, 20.1649, 24.1237, 61.44, 43.9347, 32.4972, 162.151, 163.84, 34.7979, 44.939, 25.7004, 108.473, 109.227, 67.7959, 88.8624, 41.3912, 33.6082, 34.1927, , 50.4123, 53.8652, 53.1373, 32.2308, 26.5686, 36.0749, 35.4249, 35.4249, 85.4817, 81.0755, 64.9944, 37.4491, 55.3825, 55.7753, 41.6102, 29.1271, 35.1086, 35.7469, 5.88647, 162.151, 163.84
65536, 41.5278, 43.4643, 34.9525, 51.4639, 19.4181, 24.6724, 58.6616, 43.4643, 32.0176, 161.319, 164.483, 34.1, 45.3438, 27.7768, 106.861, 93.2068, 59.4937, 82.2413, 41.1206, 33.026, 34.6637, , 50.2312, 52.4288, 52.7585, 32.0176, 27.06, 31.775, 34.6637, 34.3795, 78.3982, 71.0899, 66.052, 34.3795, 56.6798, 58.2542, 39.9458, 28.1497, 34.3795, 35.2463, 5.14008, 162.886, 161.319
131072, 29.909, 32.0608, 24.3522, 45.474, 14.7565, 24.3522, 52.4288, 39.0916, 27.5089, 160.593, 160.593, 28.938, 27.5089, 18.7246, 73.6603, 76.1786, 47.409, 62.7669, 30.9476, 26.2144, 27.5089, , 47.409, 50.3553, 49.7927, 25.1777, 25.0362, 25.7598, 27.3402, 27.6798, 73.0565, 69.0922, 61.8951, 25.9096, 47.6625, 49.2425, 35.0901, 24.758, 28.2054, 27.3402, 5.89477, 141.475, 141.475
262144, 22.2575, 23.8313, 19.826, 49.152, 7.08497, 23.1304, 45.3711, 31.0434, 18.2891, 100.396, 99.3388, 19.1813, 15.8342, 10.8225, 63.3368, 55.8413, 29.308, 48.1489, 12.288, 23.3594, 24.576, , 37.1543, 38.677, 39.3216, 19.6608, 9.91301, 20.1649, 24.0744, 24.3226, 59.729, 54.5502, 70.9563, 11.9761, 39.9881, 42.1303, 23.593, 16.6148, 16.8521, 13.5592, 5.20816, 96.2978, 129.276
524288, 6.42676, 5.82542, 5.54648, 26.9229, 4.22813, 18.1118, 18.0461, 13.5346, 4.80302, 84.4193, 79.0593, 5.72498, 6.23371, 7.62747, 44.4709, 27.9817, 22.0387, 22.1366, 8.44193, 9.25787, 7.11534, , 32.5538, 33.2049, 19.3803, 5.81862, 10.3982, 8.11195, 7.14596, 8.32899, 42.5704, 39.8459, 49.3142, 10.4199, 11.6101, 12.5776, 11.5562, 5.66637, 10.4418, 9.08893, 3.67582, 89.743, 91.3897
1048576, 5.9782, 5.9782, 4.84779, 26.3461, 3.62829, 16.6177, 14.3641, 11.9974, 4.6728, , , 5.27188, 7.6094, 8.5668, 27.3067, 27.0252, 13.2731, , 7.63156, 7.48448, 6.6198, , , 10.6563, 9.53251, 4.98847, 8.05358, 8.64448, 6.4251, 7.24655, 22.9951, 21.6648, 60.6113, 8.83383, 12.3217, 12.1083, 10.2101, 4.95546, 9.72705, 7.98003, 3.527, 95.3251, 81.285
2097152, 6.28248, 6.29685, 4.77659, 17.0963, 3.50025, 15.6615, , 9.87006, 4.68214, , , 5.05628, 6.24861, 6.70323, 26.4665, 24.2245, 15.2283, , 7.63262, 6.66266, 6.53221, , , 8.1195, 7.64852, , 7.75083, 8.61843, 6.46889, 6.22388, 24.3585, 23.6014, 43.3466, 8.28446, 9.00986, 10.0502, 8.14654, 4.22651, 7.89817, 7.56444, 3.47594, 94.103, 82.1645

Norm. Avg., 0.321856, 0.322525, 0.236571, 0.182956, 0.180745, 0.133665, 0.269032, 0.194585, 0.1903, 0.643315, 0.657007, 0.202683, 0.313025, 0.124498, 0.638173, 0.598542, 0.572956, 0.548242, 0.249935, 0.184837, 0.185426, 0.574086, 0.312907, 0.337655, 0.317661, 0.143328, 0.137762, 0.13982, 0.187556, 0.178198, 0.576884, 0.516728, 0.294707, 0.251703, 0.314825, 0.318825, 0.322693, 0.181904, 0.161984, 0.153887, 0.0368404, 0.826495, 0.821541
------------------------------------------------------
@@@@ bench.1d.np2.dat
N, Brenner, CWP (min N), CWP (best N), FFTPACK, FFTPACK (f2c), FFTW, FFTW_ESTIMATE, Frigo-old, GSL, NAPACK (f2c), Nielsen, Singleton, Singleton (f2c), Temperton, Temperton (f2c), Valkenburg, SCSL, SGIMATH
6, , 16.8008, 13.1155, 35.3547, 18.6504, 127.056, 118.709, 19.1783, 33.3262, 17.525, 7.58544, 15.6377, 15.1709, 13.4629, 8.68759, 7.31258, 37.6462, 41.4877
9, 6.11012, 38.1571, 24.2818, 57.5292, 23.8178, 152.628, 157.448, 17.4738, 39.9935, 24.7642, 11.9089, 27.9059, 28.1158, 22.5265, 11.613, 7.5391, 58.8881, 57.5292
12, , 39.4312, 36.3784, 79.4177, 29.2158, 218.977, 203.195, 28.7687, 59.6683, 26.1049, 15.3224, 31.6779, 31.3259, 30.4792, 16.9839, 7.45854, 82.9214, 86.0864
15, 9.23228, 51.9004, 50.2043, 92.5453, 32.0052, 158.376, 161.711, 23.8548, 66.2178, 21.2189, 17.7807, 33.3968, 32.5477, 41.746, 15.7403, 6.80963, 87.287, 87.7858
18, 10.1633, 56.2176, 48.7034, 69.7737, 21.2028, 138.565, 136.64, 20.6683, 75.6776, 33.9244, 13.1525, 43.1495, 43.5314, 33.2368, 15.5666, 7.68601, 89.4372, 92.8121
24, , 87.4124, 71.4012, 91.2851, 24.697, 173.772, 169.683, 38.5643, 96.1536, 36.4218, 25.3927, 41.4455, 40.7431, 49.394, 23.1139, 7.57513, 155.087, 153.437
36, 12.3957, 109.886, 109.886, 117.283, 26.7486, 176.774, 176.774, 25.8419, 115.07, 43.8755, 20.8859, 68.1418, 67.3889, 59.2106, 23.1011, 7.85914, 152.467, 153.426
80, 20.5106, 156.345, 160.899, 174.448, 36.3433, 207.157, 196.125, 59.1877, 115.087, 32.3683, 47.6223, 101.052, 101.672, 73.3299, 39.8379, 7.50569, 215.228, 215.228
108, 14.095, 140.619, 171.98, 174.49, 30.8056, 207.871, 211.55, 23.9052, 121.965, 55.336, 24.098, 79.6839, 76.6191, 73.7814, 23.1639, 7.9472, 200.884, 211.55
210, 18.9585, 193.737, 195.161, 75.4032, 18.4319, 163.839, 156.129, 29.103, 126.39, 28.1165, 31.5975, 57.6999, 59.2454, , , 6.58282, 99.7817, 99.7817
504, 19.9704, 245.464, 240.683, 82.7346, 18.9883, 191.057, 158.398, 33.3319, 139.343, 36.7709, 30.0853, 74.728, 76.5808, , , 7.23928, 74.1302, 73.5419
1000, 22.9842, 182.231, 238.713, 165.934, 34.4762, 174.444, 174.444, 39.2499, 125.214, 30.5538, 57.011, 112.762, 110.924, 96.2732, 32.2942, 7.04763, 210.412, 210.412
1960, 23.2524, 228.649, 228.649, 59.6475, 14.7515, 131.439, 136.337, 36.3415, 93.0096, 24.9435, 31.9045, 77.8378, 79.53, , , 6.23587, 45.7297, 45.7297
4725, 18.8323, 160.484, 189.288, 78.119, 21.841, 144.75, 143.345, 23.3615, 100.439, 27.7528, 26.7473, 65.3296, 65.9129, , , 6.68682, 93.4462, 93.4462
10368, 19.5834, 151.311, 178.822, 134.116, 30.735, 175.281, 160.94, 31.6132, 115.708, 47.5897, 28.1901, 71.9649, 69.6983, 52.0687, 27.8355, 7.96015, 140.503, 142.769
27000, 19.9979, 191.258, 191.258, 142.108, 32.6119, 150.517, 155.106, 27.4109, 121.13, 32.1178, 35.7266, 69.1232, 68.7495, 59.433, 23.9073, 7.22651, 128.471, 131.12
75600, 19.6029, 163.357, 163.357, 83.7731, 24.0232, 148.507, 144.139, 28.0041, 104.271, 31.2148, 31.2148, 63.2352, 63.6458, , , 6.84459, 94.2447, 93.3471
165375, 12.7984, 153.924, 153.924, 46.2393, 15.2491, 76.9621, 84.9434, 17.0645, 71.2258, 22.5735, 22.3972, 43.1104, 43.1104, , , 5.77992, 72.1217, 73.0405
362880, 10.3747, 56.7973, 57.7765, 45.5924, 18.2122, 69.8133, 70.5482, 17.92, 61.487, 20.187, 13.8473, 27.2442, 27.0245, , , 5.68937, 78.3869, 77.9312

Norm. Avg., 0.0891771, 0.682723, 0.70506, 0.520329, 0.14249, 0.876261, 0.858466, 0.158357, 0.521211, 0.177217, 0.140603, 0.314193, 0.312981, 0.266678, 0.116967, 0.0414337, 0.622635, 0.629405
------------------------------------------------------
@@@@ bench.3d.p2.dat
Array Dimensions, FFTW, HARM, HARM (f2c), NR (C), NR (F), PDA, PDA (f2c), Singleton, Singleton (f2c), Temperton, Temperton (f2c), SCSL
4x4x4, 198.156, , , 79.6387, 51.9955, 21.6947, 14.0434, 118.707, 125.829, 67.6501, 58.2542, 84.4491
8x8x8, 290.375, 121.77, 107.241, 120.99, 83.5149, 41.0312, 21.0651, 116.508, 115.088, 155.987, 131.989, 214.481
16x16x16, 146.313, 96.0528, 89.2405, 44.939, 43.0922, 58.7987, 28.3399, 66.9304, 66.9304, 71.9024, 82.7823, 190.65
32x32x32, 135.592, 79.4376, 73.4983, 36.0749, 36.0749, 66.0867, 24.1237, 51.7389, 51.4008, 68.3854, 70.8497, 218.453
64x64x64, 80.6597, 67.8934, 67.8934, 23.9522, 23.8313, 36.5782, 19.6608, 38.677, 38.3625, 53.3174, 54.2367, 178.06
256x64x32, 41.5061, 28.2996, 33.6536, 8.9905, 8.9743, 27.5179, 17.0573, 13.5715, 13.3175, 23.3837, 22.9527, 98.6284
16x1024x64, 44.2437, 27.8137, 32.4637, 7.42618, 7.52207, 28.807, 17.9551, 12.71, 12.3799, , , 115.228
128x128x128, 39.8193, 28.9357, 32.1931, 7.02395, 7.0262, 26.9194, 16.6567, 8.63533, 8.48232, 13.7884, 13.1857, 123.708
512x128x64, 39.0003, 21.2126, 27.1396, 6.74325, 6.85547, 26.8085, 16.1942, 9.31691, 9.26267, , , 121.734

Norm. Avg., 0.587575, 0.325571, 0.332659, 0.18019, 0.149377, 0.225997, 0.123261, 0.244406, 0.246696, 0.31668, 0.307281, 0.907201
------------------------------------------------------
@@@@ bench.3d.np2.dat
Array Dimensions, FFTW, PDA, PDA (f2c), Singleton, Singleton (f2c), Temperton, Temperton (f2c), SCSL
5x5x5, 168.828, 28.7619, 16.823, 166.853, 170.849, 116.934, 33.3316, 82.9414
6x6x6, 223.123, 28.3514, 16.0304, 91.4804, 90.2767, 108.048, 36.4948, 81.6789
7x7x7, 169.034, 11.8324, 5.10017, 72.1487, 78.8826, , , 37.4443
9x9x9, 225.365, 47.0133, 21.5121, 123.461, 115.431, 173.147, 31.136, 120.322
10x10x10, 230.621, 51.0248, 24.0683, 114.022, 115.965, 192.546, 48.1366, 133.398
11x11x11, 123, 11.8666, 4.77873, 64.8855, 70.0249, , , 33.3609
12x12x12, 275.804, 61.7872, 26.5789, 119.689, 117.472, 240.892, 63.0148, 124.382
13x13x13, 114.564, 11.6488, 4.5376, 66.7779, 74.3302, , , 31.8558
14x14x14, 160.472, 24.6122, 8.0883, 64.7064, 67.9965, , , 37.1462
15x15x15, 170.196, 70.324, 28.1296, 90.4166, 88.0579, 194.743, 36.9586, 127.379
24x25x28, 115.204, 59.8877, 19.5488, 69.869, 71.8652, , , 84.7848
48x48x48, 121.505, 74.8669, 25.9155, 54.1009, 54.4987, 74.8669, 55.728, 161.127
49x49x49, 115.719, 29.3584, 8.18882, 48.6306, 51.4726, , , 39.2415
60x60x60, 117.774, 52.4338, 22.6489, 41.8324, 41.6051, 161.165, 48.4515, 144.44
72x60x56, 97.2256, 42.0052, 17.3062, 36.979, 36.6656, , , 97.2256
75x75x75, 85.6886, 44.5387, 21.3063, 30.0891, 29.4155, 71.0212, 31.5334, 118.547
80x80x80, 82.9956, 38.8419, 21.2019, 27.9037, 27.9037, 64.3078, 48.5524, 134.868
84x84x84, 85.4606, 30.2294, 12.6573, 20.8939, 20.971, , , 65.7009
96x96x96, 67.7436, 38.6678, 19.8162, 15.3854, 14.9896, 51.4055, 43.6947, 133.419
105x105x105, 74.7363, 31.5958, 13.1146, 20.6718, 20.8194, , , 67.005
112x112x112, 73.1927, 31.1188, 13.3698, 20.701, 19.3862, , , 71.372
120x120x120, 79.2153, 45.0949, 21.3891, 14.6503, 14.6264, 78.1776, 41.7311, 120.964
144x144x144, 71.5232, 44.7269, 21.4522, 13.6134, 14.1098, 54.3383, 39.1633, 125.445
180x180x180, 70.6236, 46.9475, 22.1864, 12.8836, 12.8256, 71.4708, 36.5322, 115.998

Norm. Avg., 0.876117, 0.292365, 0.125859, 0.374608, 0.381189, 0.661911, 0.263994, 0.695124
@@@@ end