To: benchfft@theory.lcs.mit.edu
Subject: SUBMIT
-------------------
@@SUBMIT@@
@ name = Steven G. Johnson
@ email = stevenj@alum.mit.edu
@ organization = MIT
@ computer manufacturer = 
@ computer model = 
@ CPU manufacturer = Cyrix
@ CPU model = 6x86
@ CPU speed = 166
@ RAM = 64
@ L2 cache size = 512 kB
@ operating system = Linux 2.0.18
@ C compiler = gcc 2.7.2.1
@ C compiler flags = -pedantic -ansi -O6 -fomit-frame-pointer -Wall
@ Fortran compiler = g77 0.5.21
@ Fortran compiler flags = -O6 -fomit-frame-pointer
@ remarks = 
@ FFTW version = FFTW V1.2
@ floating-point precision = double
@ floating-point size = 8 bytes

------------------------------------------------------
@@@@ bench.1d.p2.log
Benchmarking for sizes:  2 (0.000228882 MB)  4 (0.000534058 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)
Maximum array size = 360360

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. QFT
33. Ransom
34. SCIPORT
35. Singleton
36. Singleton (f2c)
37. Sorensen
38. Sorensen DIT
39. Temperton
40. Temperton (f2c)
41. Valkenburg


Computing normalized averages (42 transforms).

Benchmarking for array size = 2 (power of 2):
0. Arndt DIF: elapsed time t=1.5 s, 1048576 iters, t-(init.)=1.18 s
    t(norm)=0.562668, mflops=8.88624 (err=5.6e-17)
1. Arndt DIT: elapsed time t=1.52 s, 1048576 iters, t-(init.)=1.24 s
    t(norm)=0.591278, mflops=8.45626 (err=5.6e-17)
2. Arndt Split-Radix: elapsed time t=1.96 s, 1048576 iters, t-(init.)=1.65 s
    t(norm)=0.786781, mflops=6.35501 (err=5.6e-17)
3. Arndt 4-step: elapsed time t=1.09 s, 65536 iters, t-(init.)=1.07 s
    t(norm)=8.16345, mflops=0.612486 (err=5.6e-17)
4. Bailey: elapsed time t=1.26 s, 262144 iters, t-(init.)=1.18 s
    t(norm)=2.25067, mflops=2.22156 (err=5.6e-17)
5. Beauregard: elapsed time t=1.8 s, 262144 iters, t-(init.)=1.73 s
    t(norm)=3.29971, mflops=1.51528 (err=8.4e-17)
6. Bergland: elapsed time t=1.11 s, 262144 iters, t-(init.)=1.03 s
    t(norm)=1.96457, mflops=2.54509 (err=8.4e-17)
7. Brenner: elapsed time t=1.14 s, 262144 iters, t-(init.)=1.06 s
    t(norm)=2.02179, mflops=2.47306 (err=8.4e-17)
8. Burrus: elapsed time t=1.62 s, 1048576 iters, t-(init.)=1.31 s
    t(norm)=0.624657, mflops=8.0044 (err=5.6e-17)
9. CWP (min N): elapsed time t=1.23 s, 262144 iters, t-(init.)=1.14 s
    t(norm)=2.17438, mflops=2.29951
10. CWP (best N) (N=3): elapsed time t=1.64 s, 262144 iters, t-(init.)=1.56 s
    t(norm)=2.97546, mflops=1.68041
11. Skipping fft (Edelblute can't handle N <= 2).
12. FFTPACK: elapsed time t=1.41 s, 524288 iters, t-(init.)=1.26 s
    t(norm)=1.20163, mflops=4.16102 (err=8.4e-17)
13. FFTPACK (f2c): elapsed time t=1.72 s, 524288 iters, t-(init.)=1.56 s
    t(norm)=1.48773, mflops=3.36082 (err=8.4e-17)

FFTW_MEASURE plan: (cost = 1.182556e-06)
FFTW_NOTW 2

14. FFTW: elapsed time t=1.39 s, 1048576 iters, t-(init.)=1.1 s
    t(norm)=0.524521, mflops=9.53251 (err=8.4e-17)

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

15. FFTW_ESTIMATE: elapsed time t=1.39 s, 1048576 iters, t-(init.)=1.08 s
    t(norm)=0.514984, mflops=9.70904 (err=8.4e-17)
16. Frigo-old: elapsed time t=1.29 s, 1048576 iters, t-(init.)=0.96 s
    t(norm)=0.457764, mflops=10.9227 (err=8.4e-17)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=1.09 s, 262144 iters, t-(init.)=1.02 s
    t(norm)=1.9455, mflops=2.57004 (err=8.4e-17)
19. GSL DIT: elapsed time t=1.74 s, 262144 iters, t-(init.)=1.66 s
    t(norm)=3.1662, mflops=1.57918 (err=8.4e-17)
20. GSL DIF: elapsed time t=1.02 s, 131072 iters, t-(init.)=0.98 s
    t(norm)=3.7384, mflops=1.33747 (err=8.4e-17)
21. Krukar: elapsed time t=1.98 s, 1048576 iters, t-(init.)=1.69 s
    t(norm)=0.805855, mflops=6.20459 (err=8.4e-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=1.63 s, 131072 iters, t-(init.)=1.59 s
    t(norm)=6.06537, mflops=0.824352 (err=8.3e-17)
27. Nielsen: elapsed time t=1.03 s, 65536 iters, t-(init.)=1 s
    t(norm)=7.62939, mflops=0.65536 (err=5.6e-17)
28. NR (C): elapsed time t=1.78 s, 262144 iters, t-(init.)=1.7 s
    t(norm)=3.24249, mflops=1.54202 (err=8.4e-17)
29. NR (F): elapsed time t=1.9 s, 262144 iters, t-(init.)=1.82 s
    t(norm)=3.47137, mflops=1.44035 (err=8.4e-17)
30. Ooura (C): elapsed time t=1.51 s, 1048576 iters, t-(init.)=1.21 s
    t(norm)=0.576973, mflops=8.66592 (err=8.4e-17)
31. Ooura (F): elapsed time t=1.63 s, 1048576 iters, t-(init.)=1.31 s
    t(norm)=0.624657, mflops=8.0044 (err=8.4e-17)
32. Skipping fft (QFT requires N >= 16).
33. Skipping fft (Ransom doesn't work for N=2).
34. Skipping fft (SCIPORT can't handle N < 4).
35. Singleton: elapsed time t=1.9 s, 262144 iters, t-(init.)=1.83 s
    t(norm)=3.49045, mflops=1.43248 (err=8.4e-17)
36. Singleton (f2c): elapsed time t=1.76 s, 262144 iters, t-(init.)=1.69 s
    t(norm)=3.22342, mflops=1.55115 (err=8.4e-17)
37. Sorensen: elapsed time t=1.64 s, 1048576 iters, t-(init.)=1.34 s
    t(norm)=0.638962, mflops=7.82519 (err=5.6e-17)
38. Sorensen DIT: elapsed time t=1.75 s, 1048576 iters, t-(init.)=1.43 s
    t(norm)=0.681877, mflops=7.3327 (err=5.6e-17)
39. Temperton: elapsed time t=1.41 s, 262144 iters, t-(init.)=1.34 s
    t(norm)=2.55585, mflops=1.9563 (err=8.4e-17)
40. Temperton (f2c): elapsed time t=1.63 s, 262144 iters, t-(init.)=1.55 s
    t(norm)=2.95639, mflops=1.69125 (err=8.4e-17)
41. Valkenburg: elapsed time t=1.15 s, 262144 iters, t-(init.)=1.07 s
    t(norm)=2.04086, mflops=2.44994 (err=8.3e-17)

Top mflops for N=2 = 10.9227
Normalized results and averages for N=2:
  fft 0: mflops = 8.88624 (norm. = 0.813559), norm. avg. (of 1) = 0.813559
  fft 1: mflops = 8.45626 (norm. = 0.774194), norm. avg. (of 1) = 0.774194
  fft 2: mflops = 6.35501 (norm. = 0.581818), norm. avg. (of 1) = 0.581818
  fft 3: mflops = 0.612486 (norm. = 0.0560748), norm. avg. (of 1) = 0.0560748
  fft 4: mflops = 2.22156 (norm. = 0.20339), norm. avg. (of 1) = 0.20339
  fft 5: mflops = 1.51528 (norm. = 0.138728), norm. avg. (of 1) = 0.138728
  fft 6: mflops = 2.54509 (norm. = 0.23301), norm. avg. (of 1) = 0.23301
  fft 7: mflops = 2.47306 (norm. = 0.226415), norm. avg. (of 1) = 0.226415
  fft 8: mflops = 8.0044 (norm. = 0.732824), norm. avg. (of 1) = 0.732824
  fft 9: mflops = 2.29951 (norm. = 0.210526), norm. avg. (of 1) = 0.210526
  fft 10: mflops = 1.68041 (norm. = 0.153846), norm. avg. (of 1) = 0.153846
  fft 11: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 12: mflops = 4.16102 (norm. = 0.380952), norm. avg. (of 1) = 0.380952
  fft 13: mflops = 3.36082 (norm. = 0.307692), norm. avg. (of 1) = 0.307692
  fft 14: mflops = 9.53251 (norm. = 0.872727), norm. avg. (of 1) = 0.872727
  fft 15: mflops = 9.70904 (norm. = 0.888889), norm. avg. (of 1) = 0.888889
  fft 16: mflops = 10.9227 (norm. = 1), norm. avg. (of 1) = 1
  fft 17: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 18: mflops = 2.57004 (norm. = 0.235294), norm. avg. (of 1) = 0.235294
  fft 19: mflops = 1.57918 (norm. = 0.144578), norm. avg. (of 1) = 0.144578
  fft 20: mflops = 1.33747 (norm. = 0.122449), norm. avg. (of 1) = 0.122449
  fft 21: mflops = 6.20459 (norm. = 0.568047), norm. avg. (of 1) = 0.568047
  fft 22: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 23: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 24: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 25: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 26: mflops = 0.824352 (norm. = 0.0754717), norm. avg. (of 1) = 0.0754717
  fft 27: mflops = 0.65536 (norm. = 0.06), norm. avg. (of 1) = 0.06
  fft 28: mflops = 1.54202 (norm. = 0.141176), norm. avg. (of 1) = 0.141176
  fft 29: mflops = 1.44035 (norm. = 0.131868), norm. avg. (of 1) = 0.131868
  fft 30: mflops = 8.66592 (norm. = 0.793388), norm. avg. (of 1) = 0.793388
  fft 31: mflops = 8.0044 (norm. = 0.732824), norm. avg. (of 1) = 0.732824
  fft 32: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 33: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 34: mflops = -1 (norm. = -0.0915527), norm. avg. (of 0) = -1
  fft 35: mflops = 1.43248 (norm. = 0.131148), norm. avg. (of 1) = 0.131148
  fft 36: mflops = 1.55115 (norm. = 0.142012), norm. avg. (of 1) = 0.142012
  fft 37: mflops = 7.82519 (norm. = 0.716418), norm. avg. (of 1) = 0.716418
  fft 38: mflops = 7.3327 (norm. = 0.671329), norm. avg. (of 1) = 0.671329
  fft 39: mflops = 1.9563 (norm. = 0.179104), norm. avg. (of 1) = 0.179104
  fft 40: mflops = 1.69125 (norm. = 0.154839), norm. avg. (of 1) = 0.154839
  fft 41: mflops = 2.44994 (norm. = 0.224299), norm. avg. (of 1) = 0.224299

Benchmarking for array size = 4 (power of 2):
0. Arndt DIF: elapsed time t=1.89 s, 524288 iters, t-(init.)=1.7 s
    t(norm)=0.405312, mflops=12.3362 (err=9.6e-17)
1. Arndt DIT: elapsed time t=1.98 s, 524288 iters, t-(init.)=1.8 s
    t(norm)=0.429153, mflops=11.6508 (err=9.6e-17)
2. Arndt Split-Radix: elapsed time t=1 s, 131072 iters, t-(init.)=0.95 s
    t(norm)=0.905991, mflops=5.51882 (err=1.5e-16)
3. Arndt 4-step: elapsed time t=1.39 s, 65536 iters, t-(init.)=1.37 s
    t(norm)=2.61307, mflops=1.91346 (err=1.5e-16)
4. Bailey: elapsed time t=1.71 s, 131072 iters, t-(init.)=1.66 s
    t(norm)=1.5831, mflops=3.15836 (err=1.5e-16)
5. Beauregard: elapsed time t=1.32 s, 65536 iters, t-(init.)=1.3 s
    t(norm)=2.47955, mflops=2.01649 (err=1.4e-16)
6. Bergland: elapsed time t=1.72 s, 262144 iters, t-(init.)=1.62 s
    t(norm)=0.772476, mflops=6.47269 (err=7.6e-17)
7. Brenner: elapsed time t=1.14 s, 131072 iters, t-(init.)=1.09 s
    t(norm)=1.03951, mflops=4.80998 (err=1.4e-16)
8. Burrus: elapsed time t=1.02 s, 131072 iters, t-(init.)=0.97 s
    t(norm)=0.925064, mflops=5.40503 (err=1.5e-16)
9. CWP (min N): elapsed time t=1.76 s, 262144 iters, t-(init.)=1.66 s
    t(norm)=0.79155, mflops=6.31672
10. CWP (best N) (N=15): elapsed time t=1.09 s, 32768 iters, t-(init.)=1.07 s
    t(norm)=4.08173, mflops=1.22497
11. Edelblute: elapsed time t=1.97 s, 262144 iters, t-(init.)=1.87 s
    t(norm)=0.891685, mflops=5.60736 (err=1.5e-16)
12. FFTPACK: elapsed time t=1.31 s, 262144 iters, t-(init.)=1.22 s
    t(norm)=0.581741, mflops=8.59489 (err=1.2e-16)
13. FFTPACK (f2c): elapsed time t=1.5 s, 262144 iters, t-(init.)=1.41 s
    t(norm)=0.67234, mflops=7.43671 (err=1.2e-16)

FFTW_MEASURE plan: (cost = 2.975464e-06)
FFTW_NOTW 4

14. FFTW: elapsed time t=1.59 s, 524288 iters, t-(init.)=1.4 s
    t(norm)=0.333786, mflops=14.9797 (err=1.4e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.58 s, 524288 iters, t-(init.)=1.39 s
    t(norm)=0.331402, mflops=15.0874 (err=1.4e-16)
16. Frigo-old: elapsed time t=1.48 s, 524288 iters, t-(init.)=1.29 s
    t(norm)=0.30756, mflops=16.257 (err=1.4e-16)
17. Skipping fft (Green can't handle this size.).
18. GSL: elapsed time t=1.05 s, 131072 iters, t-(init.)=1 s
    t(norm)=0.953674, mflops=5.24288 (err=1.4e-16)
19. GSL DIT: elapsed time t=1.94 s, 131072 iters, t-(init.)=1.9 s
    t(norm)=1.81198, mflops=2.75941 (err=1.4e-16)
20. GSL DIF: elapsed time t=1.16 s, 65536 iters, t-(init.)=1.13 s
    t(norm)=2.1553, mflops=2.31986 (err=1.8e-16)
21. Krukar: elapsed time t=1.92 s, 524288 iters, t-(init.)=1.72 s
    t(norm)=0.41008, mflops=12.1927 (err=1.4e-16)
22. Mayer (Buneman): elapsed time t=1.69 s, 262144 iters, t-(init.)=1.59 s
    t(norm)=0.758171, mflops=6.59482 (err=8.1e-17)
23. Mayer (simple): elapsed time t=1.73 s, 262144 iters, t-(init.)=1.64 s
    t(norm)=0.782013, mflops=6.39376
24. Mayer (lookup): elapsed time t=1.72 s, 262144 iters, t-(init.)=1.62 s
    t(norm)=0.772476, mflops=6.47269 (err=8.1e-17)
25. Monro: elapsed time t=1.21 s, 65536 iters, t-(init.)=1.19 s
    t(norm)=2.26974, mflops=2.20289 (err=8.1e-17)
26. NAPACK (f2c): elapsed time t=1.73 s, 65536 iters, t-(init.)=1.7 s
    t(norm)=3.24249, mflops=1.54202 (err=1.8e-16)
27. Nielsen: elapsed time t=1.11 s, 65536 iters, t-(init.)=1.08 s
    t(norm)=2.05994, mflops=2.42726 (err=1.5e-16)
28. NR (C): elapsed time t=1 s, 65536 iters, t-(init.)=0.97 s
    t(norm)=1.85013, mflops=2.70252 (err=1.4e-16)
29. NR (F): elapsed time t=1.07 s, 65536 iters, t-(init.)=1.05 s
    t(norm)=2.00272, mflops=2.49661 (err=1.4e-16)
30. Ooura (C): elapsed time t=1.06 s, 262144 iters, t-(init.)=0.96 s
    t(norm)=0.457764, mflops=10.9227 (err=9.8e-17)
31. Ooura (F): elapsed time t=1.12 s, 262144 iters, t-(init.)=1.02 s
    t(norm)=0.486374, mflops=10.2802 (err=9.8e-17)
32. Skipping fft (QFT requires N >= 16).
33. Ransom: elapsed time t=1.93 s, 65536 iters, t-(init.)=1.9 s
    t(norm)=3.62396, mflops=1.37971 (err=2.1e-16)
34. SCIPORT: elapsed time t=1.45 s, 131072 iters, t-(init.)=1.4 s
    t(norm)=1.33514, mflops=3.74491 (err=8.0e-09)
35. Singleton: elapsed time t=1.41 s, 131072 iters, t-(init.)=1.36 s
    t(norm)=1.297, mflops=3.85506 (err=1.5e-16)
36. Singleton (f2c): elapsed time t=1.34 s, 131072 iters, t-(init.)=1.29 s
    t(norm)=1.23024, mflops=4.06425 (err=1.1e-16)
37. Sorensen: elapsed time t=1.38 s, 262144 iters, t-(init.)=1.28 s
    t(norm)=0.610352, mflops=8.192 (err=1.5e-16)
38. Sorensen DIT: elapsed time t=1.94 s, 262144 iters, t-(init.)=1.84 s
    t(norm)=0.87738, mflops=5.69878 (err=8.1e-17)
39. Temperton: elapsed time t=1.06 s, 131072 iters, t-(init.)=1.01 s
    t(norm)=0.963211, mflops=5.19097 (err=1.7e-16)
40. Temperton (f2c): elapsed time t=1.2 s, 131072 iters, t-(init.)=1.15 s
    t(norm)=1.09673, mflops=4.55903 (err=1.7e-16)
41. Valkenburg: elapsed time t=1.1 s, 65536 iters, t-(init.)=1.08 s
    t(norm)=2.05994, mflops=2.42726 (err=1.8e-16)

Top mflops for N=4 = 16.257
Normalized results and averages for N=4:
  fft 0: mflops = 12.3362 (norm. = 0.758824), norm. avg. (of 2) = 0.786191
  fft 1: mflops = 11.6508 (norm. = 0.716667), norm. avg. (of 2) = 0.74543
  fft 2: mflops = 5.51882 (norm. = 0.339474), norm. avg. (of 2) = 0.460646
  fft 3: mflops = 1.91346 (norm. = 0.117701), norm. avg. (of 2) = 0.0868877
  fft 4: mflops = 3.15836 (norm. = 0.194277), norm. avg. (of 2) = 0.198833
  fft 5: mflops = 2.01649 (norm. = 0.124038), norm. avg. (of 2) = 0.131383
  fft 6: mflops = 6.47269 (norm. = 0.398148), norm. avg. (of 2) = 0.315579
  fft 7: mflops = 4.80998 (norm. = 0.295872), norm. avg. (of 2) = 0.261143
  fft 8: mflops = 5.40503 (norm. = 0.332474), norm. avg. (of 2) = 0.532649
  fft 9: mflops = 6.31672 (norm. = 0.388554), norm. avg. (of 2) = 0.29954
  fft 10: mflops = 1.22497 (norm. = 0.0753505), norm. avg. (of 2) = 0.114598
  fft 11: mflops = 5.60736 (norm. = 0.34492), norm. avg. (of 1) = 0.34492
  fft 12: mflops = 8.59489 (norm. = 0.528689), norm. avg. (of 2) = 0.45482
  fft 13: mflops = 7.43671 (norm. = 0.457447), norm. avg. (of 2) = 0.38257
  fft 14: mflops = 14.9797 (norm. = 0.921429), norm. avg. (of 2) = 0.897078
  fft 15: mflops = 15.0874 (norm. = 0.928058), norm. avg. (of 2) = 0.908473
  fft 16: mflops = 16.257 (norm. = 1), norm. avg. (of 2) = 1
  fft 17: mflops = -1 (norm. = -0.061512), norm. avg. (of 0) = -1
  fft 18: mflops = 5.24288 (norm. = 0.3225), norm. avg. (of 2) = 0.278897
  fft 19: mflops = 2.75941 (norm. = 0.169737), norm. avg. (of 2) = 0.157158
  fft 20: mflops = 2.31986 (norm. = 0.142699), norm. avg. (of 2) = 0.132574
  fft 21: mflops = 12.1927 (norm. = 0.75), norm. avg. (of 2) = 0.659024
  fft 22: mflops = 6.59482 (norm. = 0.40566), norm. avg. (of 1) = 0.40566
  fft 23: mflops = 6.39376 (norm. = 0.393293), norm. avg. (of 1) = 0.393293
  fft 24: mflops = 6.47269 (norm. = 0.398148), norm. avg. (of 1) = 0.398148
  fft 25: mflops = 2.20289 (norm. = 0.135504), norm. avg. (of 1) = 0.135504
  fft 26: mflops = 1.54202 (norm. = 0.0948529), norm. avg. (of 2) = 0.0851623
  fft 27: mflops = 2.42726 (norm. = 0.149306), norm. avg. (of 2) = 0.104653
  fft 28: mflops = 2.70252 (norm. = 0.166237), norm. avg. (of 2) = 0.153707
  fft 29: mflops = 2.49661 (norm. = 0.153571), norm. avg. (of 2) = 0.14272
  fft 30: mflops = 10.9227 (norm. = 0.671875), norm. avg. (of 2) = 0.732632
  fft 31: mflops = 10.2802 (norm. = 0.632353), norm. avg. (of 2) = 0.682589
  fft 32: mflops = -1 (norm. = -0.061512), norm. avg. (of 0) = -1
  fft 33: mflops = 1.37971 (norm. = 0.0848684), norm. avg. (of 1) = 0.0848684
  fft 34: mflops = 3.74491 (norm. = 0.230357), norm. avg. (of 1) = 0.230357
  fft 35: mflops = 3.85506 (norm. = 0.237132), norm. avg. (of 2) = 0.18414
  fft 36: mflops = 4.06425 (norm. = 0.25), norm. avg. (of 2) = 0.196006
  fft 37: mflops = 8.192 (norm. = 0.503906), norm. avg. (of 2) = 0.610162
  fft 38: mflops = 5.69878 (norm. = 0.350543), norm. avg. (of 2) = 0.510936
  fft 39: mflops = 5.19097 (norm. = 0.319307), norm. avg. (of 2) = 0.249206
  fft 40: mflops = 4.55903 (norm. = 0.280435), norm. avg. (of 2) = 0.217637
  fft 41: mflops = 2.42726 (norm. = 0.149306), norm. avg. (of 2) = 0.186802

Benchmarking for array size = 8 (power of 2):
0. Arndt DIF: elapsed time t=1.3 s, 131072 iters, t-(init.)=1.23 s
    t(norm)=0.391006, mflops=12.7875 (err=1.6e-16)
1. Arndt DIT: elapsed time t=1.29 s, 131072 iters, t-(init.)=1.22 s
    t(norm)=0.387828, mflops=12.8923 (err=1.6e-16)
2. Arndt Split-Radix: elapsed time t=1.38 s, 65536 iters, t-(init.)=1.35 s
    t(norm)=0.858307, mflops=5.82542 (err=2.0e-16)
3. Arndt 4-step: elapsed time t=1.76 s, 32768 iters, t-(init.)=1.74 s
    t(norm)=2.21252, mflops=2.25986 (err=2.1e-16)
4. Bailey: elapsed time t=1.79 s, 65536 iters, t-(init.)=1.75 s
    t(norm)=1.11262, mflops=4.4939 (err=1.6e-16)
5. Beauregard: elapsed time t=1.57 s, 32768 iters, t-(init.)=1.55 s
    t(norm)=1.97093, mflops=2.53688 (err=1.3e-16)
6. Bergland: elapsed time t=1.18 s, 65536 iters, t-(init.)=1.15 s
    t(norm)=0.73115, mflops=6.83854 (err=2.0e-16)
7. Brenner: elapsed time t=1.52 s, 65536 iters, t-(init.)=1.49 s
    t(norm)=0.947316, mflops=5.27807 (err=1.3e-16)
8. Burrus: elapsed time t=1.58 s, 65536 iters, t-(init.)=1.54 s
    t(norm)=0.979106, mflops=5.1067 (err=1.9e-16)
9. CWP (min N): elapsed time t=1.71 s, 131072 iters, t-(init.)=1.64 s
    t(norm)=0.521342, mflops=9.59063
10. CWP (best N) (N=15): elapsed time t=1.07 s, 32768 iters, t-(init.)=1.04 s
    t(norm)=1.32243, mflops=3.78092
11. Edelblute: elapsed time t=1.56 s, 65536 iters, t-(init.)=1.52 s
    t(norm)=0.96639, mflops=5.17389 (err=1.9e-16)
12. FFTPACK: elapsed time t=1.71 s, 131072 iters, t-(init.)=1.64 s
    t(norm)=0.521342, mflops=9.59063 (err=1.8e-16)
13. FFTPACK (f2c): elapsed time t=1.83 s, 131072 iters, t-(init.)=1.76 s
    t(norm)=0.559489, mflops=8.93673 (err=1.8e-16)

FFTW_MEASURE plan: (cost = 8.239746e-06)
FFTW_NOTW 8

14. FFTW: elapsed time t=1.09 s, 131072 iters, t-(init.)=1.02 s
    t(norm)=0.324249, mflops=15.4202 (err=1.0e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.09 s, 131072 iters, t-(init.)=1.02 s
    t(norm)=0.324249, mflops=15.4202 (err=1.0e-16)
16. Frigo-old: elapsed time t=1.11 s, 131072 iters, t-(init.)=1.04 s
    t(norm)=0.330607, mflops=15.1237 (err=1.0e-16)
17. Green: elapsed time t=1.81 s, 131072 iters, t-(init.)=1.74 s
    t(norm)=0.553131, mflops=9.03945 (err=1.2e-16)
18. GSL: elapsed time t=1.28 s, 65536 iters, t-(init.)=1.24 s
    t(norm)=0.788371, mflops=6.34219 (err=1.2e-16)
19. GSL DIT: elapsed time t=1.89 s, 65536 iters, t-(init.)=1.85 s
    t(norm)=1.1762, mflops=4.25098 (err=1.2e-16)
20. GSL DIF: elapsed time t=1.15 s, 32768 iters, t-(init.)=1.14 s
    t(norm)=1.44958, mflops=3.44926 (err=1.6e-16)
21. Krukar: elapsed time t=1.5 s, 131072 iters, t-(init.)=1.43 s
    t(norm)=0.454585, mflops=10.999 (err=1.2e-16)
22. Mayer (Buneman): elapsed time t=1.97 s, 131072 iters, t-(init.)=1.89 s
    t(norm)=0.600815, mflops=8.32203 (err=1.5e-16)
23. Mayer (simple): elapsed time t=2 s, 131072 iters, t-(init.)=1.92 s
    t(norm)=0.610352, mflops=8.192
24. Mayer (lookup): elapsed time t=1.98 s, 131072 iters, t-(init.)=1.91 s
    t(norm)=0.607173, mflops=8.23489 (err=1.5e-16)
25. Monro: elapsed time t=1.96 s, 65536 iters, t-(init.)=1.92 s
    t(norm)=1.2207, mflops=4.096 (err=1.3e-08)
26. NAPACK (f2c): elapsed time t=1.82 s, 32768 iters, t-(init.)=1.8 s
    t(norm)=2.28882, mflops=2.18453 (err=2.8e-16)
27. Nielsen: elapsed time t=1.76 s, 65536 iters, t-(init.)=1.73 s
    t(norm)=1.0999, mflops=4.54585 (err=1.3e-15)
28. NR (C): elapsed time t=1.94 s, 65536 iters, t-(init.)=1.9 s
    t(norm)=1.20799, mflops=4.13912 (err=1.2e-16)
29. NR (F): elapsed time t=1.05 s, 32768 iters, t-(init.)=1.03 s
    t(norm)=1.30971, mflops=3.81763 (err=1.5e-16)
30. Ooura (C): elapsed time t=1.38 s, 131072 iters, t-(init.)=1.31 s
    t(norm)=0.416438, mflops=12.0066 (err=1.6e-16)
31. Ooura (F): elapsed time t=1.45 s, 131072 iters, t-(init.)=1.37 s
    t(norm)=0.435511, mflops=11.4808 (err=1.6e-16)
32. Skipping fft (QFT requires N >= 16).
33. Ransom: elapsed time t=1.07 s, 16384 iters, t-(init.)=1.06 s
    t(norm)=2.69572, mflops=1.85479 (err=7.5e-16)
34. SCIPORT: elapsed time t=1.23 s, 32768 iters, t-(init.)=1.22 s
    t(norm)=1.55131, mflops=3.22308 (err=4.5e-08)
35. Singleton: elapsed time t=1.07 s, 32768 iters, t-(init.)=1.05 s
    t(norm)=1.33514, mflops=3.74491 (err=1.2e-16)
36. Singleton (f2c): elapsed time t=1.88 s, 65536 iters, t-(init.)=1.85 s
    t(norm)=1.1762, mflops=4.25098 (err=1.2e-16)
37. Sorensen: elapsed time t=1.73 s, 131072 iters, t-(init.)=1.66 s
    t(norm)=0.5277, mflops=9.47508 (err=2.4e-16)
38. Sorensen DIT: elapsed time t=1.53 s, 65536 iters, t-(init.)=1.49 s
    t(norm)=0.947316, mflops=5.27807 (err=1.8e-16)
39. Temperton: elapsed time t=1.21 s, 65536 iters, t-(init.)=1.17 s
    t(norm)=0.743866, mflops=6.72164 (err=7.5e-09)
40. Temperton (f2c): elapsed time t=1.33 s, 65536 iters, t-(init.)=1.3 s
    t(norm)=0.826518, mflops=6.04948 (err=1.4e-16)
41. Valkenburg: elapsed time t=1.6 s, 32768 iters, t-(init.)=1.59 s
    t(norm)=2.02179, mflops=2.47306 (err=1.3e-16)

Top mflops for N=8 = 15.4202
Normalized results and averages for N=8:
  fft 0: mflops = 12.7875 (norm. = 0.829268), norm. avg. (of 3) = 0.80055
  fft 1: mflops = 12.8923 (norm. = 0.836066), norm. avg. (of 3) = 0.775642
  fft 2: mflops = 5.82542 (norm. = 0.377778), norm. avg. (of 3) = 0.433023
  fft 3: mflops = 2.25986 (norm. = 0.146552), norm. avg. (of 3) = 0.106776
  fft 4: mflops = 4.4939 (norm. = 0.291429), norm. avg. (of 3) = 0.229699
  fft 5: mflops = 2.53688 (norm. = 0.164516), norm. avg. (of 3) = 0.142428
  fft 6: mflops = 6.83854 (norm. = 0.443478), norm. avg. (of 3) = 0.358212
  fft 7: mflops = 5.27807 (norm. = 0.342282), norm. avg. (of 3) = 0.28819
  fft 8: mflops = 5.1067 (norm. = 0.331169), norm. avg. (of 3) = 0.465489
  fft 9: mflops = 9.59063 (norm. = 0.621951), norm. avg. (of 3) = 0.407011
  fft 10: mflops = 3.78092 (norm. = 0.245192), norm. avg. (of 3) = 0.15813
  fft 11: mflops = 5.17389 (norm. = 0.335526), norm. avg. (of 2) = 0.340223
  fft 12: mflops = 9.59063 (norm. = 0.621951), norm. avg. (of 3) = 0.510531
  fft 13: mflops = 8.93673 (norm. = 0.579545), norm. avg. (of 3) = 0.448228
  fft 14: mflops = 15.4202 (norm. = 1), norm. avg. (of 3) = 0.931385
  fft 15: mflops = 15.4202 (norm. = 1), norm. avg. (of 3) = 0.938982
  fft 16: mflops = 15.1237 (norm. = 0.980769), norm. avg. (of 3) = 0.99359
  fft 17: mflops = 9.03945 (norm. = 0.586207), norm. avg. (of 1) = 0.586207
  fft 18: mflops = 6.34219 (norm. = 0.41129), norm. avg. (of 3) = 0.323028
  fft 19: mflops = 4.25098 (norm. = 0.275676), norm. avg. (of 3) = 0.196664
  fft 20: mflops = 3.44926 (norm. = 0.223684), norm. avg. (of 3) = 0.162944
  fft 21: mflops = 10.999 (norm. = 0.713287), norm. avg. (of 3) = 0.677111
  fft 22: mflops = 8.32203 (norm. = 0.539683), norm. avg. (of 2) = 0.472671
  fft 23: mflops = 8.192 (norm. = 0.53125), norm. avg. (of 2) = 0.462271
  fft 24: mflops = 8.23489 (norm. = 0.534031), norm. avg. (of 2) = 0.46609
  fft 25: mflops = 4.096 (norm. = 0.265625), norm. avg. (of 2) = 0.200565
  fft 26: mflops = 2.18453 (norm. = 0.141667), norm. avg. (of 3) = 0.103997
  fft 27: mflops = 4.54585 (norm. = 0.294798), norm. avg. (of 3) = 0.168034
  fft 28: mflops = 4.13912 (norm. = 0.268421), norm. avg. (of 3) = 0.191945
  fft 29: mflops = 3.81763 (norm. = 0.247573), norm. avg. (of 3) = 0.177671
  fft 30: mflops = 12.0066 (norm. = 0.778626), norm. avg. (of 3) = 0.747963
  fft 31: mflops = 11.4808 (norm. = 0.744526), norm. avg. (of 3) = 0.703234
  fft 32: mflops = -1 (norm. = -0.0648499), norm. avg. (of 0) = -1
  fft 33: mflops = 1.85479 (norm. = 0.120283), norm. avg. (of 2) = 0.102576
  fft 34: mflops = 3.22308 (norm. = 0.209016), norm. avg. (of 2) = 0.219687
  fft 35: mflops = 3.74491 (norm. = 0.242857), norm. avg. (of 3) = 0.203712
  fft 36: mflops = 4.25098 (norm. = 0.275676), norm. avg. (of 3) = 0.222563
  fft 37: mflops = 9.47508 (norm. = 0.614458), norm. avg. (of 3) = 0.611594
  fft 38: mflops = 5.27807 (norm. = 0.342282), norm. avg. (of 3) = 0.454718
  fft 39: mflops = 6.72164 (norm. = 0.435897), norm. avg. (of 3) = 0.311436
  fft 40: mflops = 6.04948 (norm. = 0.392308), norm. avg. (of 3) = 0.27586
  fft 41: mflops = 2.47306 (norm. = 0.160377), norm. avg. (of 3) = 0.177994

Benchmarking for array size = 16 (power of 2):
0. Arndt DIF: elapsed time t=1.43 s, 32768 iters, t-(init.)=1.4 s
    t(norm)=0.667572, mflops=7.48983 (err=1.6e-16)
1. Arndt DIT: elapsed time t=1.37 s, 32768 iters, t-(init.)=1.34 s
    t(norm)=0.638962, mflops=7.82519 (err=1.2e-16)
2. Arndt Split-Radix: elapsed time t=1.78 s, 32768 iters, t-(init.)=1.75 s
    t(norm)=0.834465, mflops=5.99186 (err=1.4e-16)
3. Arndt 4-step: elapsed time t=1.74 s, 16384 iters, t-(init.)=1.73 s
    t(norm)=1.64986, mflops=3.03057 (err=1.3e-16)
4. Bailey: elapsed time t=1.07 s, 16384 iters, t-(init.)=1.06 s
    t(norm)=1.01089, mflops=4.94611 (err=1.4e-16)
5. Beauregard: elapsed time t=1.97 s, 16384 iters, t-(init.)=1.95 s
    t(norm)=1.85966, mflops=2.68866 (err=1.9e-16)
6. Bergland: elapsed time t=1.42 s, 32768 iters, t-(init.)=1.39 s
    t(norm)=0.662804, mflops=7.54371 (err=2.0e-16)
7. Brenner: elapsed time t=1.68 s, 32768 iters, t-(init.)=1.64 s
    t(norm)=0.782013, mflops=6.39376 (err=1.5e-16)
8. Burrus: elapsed time t=1.1 s, 16384 iters, t-(init.)=1.09 s
    t(norm)=1.03951, mflops=4.80998 (err=1.3e-16)
9. CWP (min N): elapsed time t=1.86 s, 65536 iters, t-(init.)=1.8 s
    t(norm)=0.429153, mflops=11.6508
10. CWP (best N) (N=28): elapsed time t=1.04 s, 16384 iters, t-(init.)=1.02 s
    t(norm)=0.972748, mflops=5.14008
11. Edelblute: elapsed time t=1.07 s, 16384 iters, t-(init.)=1.05 s
    t(norm)=1.00136, mflops=4.99322 (err=1.3e-16)
12. FFTPACK: elapsed time t=1.03 s, 32768 iters, t-(init.)=1 s
    t(norm)=0.476837, mflops=10.4858 (err=1.5e-16)
13. FFTPACK (f2c): elapsed time t=1.08 s, 32768 iters, t-(init.)=1.05 s
    t(norm)=0.500679, mflops=9.98644 (err=1.3e-16)

FFTW_MEASURE plan: (cost = 2.258301e-05)
FFTW_NOTW 16

14. FFTW: elapsed time t=1.48 s, 65536 iters, t-(init.)=1.42 s
    t(norm)=0.338554, mflops=14.7687 (err=1.6e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.5 s, 65536 iters, t-(init.)=1.44 s
    t(norm)=0.343323, mflops=14.5636 (err=1.6e-16)
16. Frigo-old: elapsed time t=1.59 s, 65536 iters, t-(init.)=1.53 s
    t(norm)=0.36478, mflops=13.7069 (err=1.6e-16)
17. Green: elapsed time t=1.4 s, 32768 iters, t-(init.)=1.37 s
    t(norm)=0.653267, mflops=7.65384 (err=1.9e-16)
18. GSL: elapsed time t=1.41 s, 32768 iters, t-(init.)=1.38 s
    t(norm)=0.658035, mflops=7.59838 (err=1.5e-16)
19. GSL DIT: elapsed time t=1.91 s, 32768 iters, t-(init.)=1.88 s
    t(norm)=0.896454, mflops=5.57753 (err=1.6e-16)
20. GSL DIF: elapsed time t=1.2 s, 16384 iters, t-(init.)=1.18 s
    t(norm)=1.12534, mflops=4.44312 (err=1.9e-16)
21. Krukar: elapsed time t=1.98 s, 65536 iters, t-(init.)=1.92 s
    t(norm)=0.457764, mflops=10.9227 (err=1.7e-16)
22. Mayer (Buneman): elapsed time t=1.49 s, 32768 iters, t-(init.)=1.46 s
    t(norm)=0.696182, mflops=7.18203 (err=1.3e-16)
23. Mayer (simple): elapsed time t=1.4 s, 32768 iters, t-(init.)=1.37 s
    t(norm)=0.653267, mflops=7.65384
24. Mayer (lookup): elapsed time t=1.31 s, 32768 iters, t-(init.)=1.28 s
    t(norm)=0.610352, mflops=8.192 (err=1.4e-16)
25. Monro: elapsed time t=1.97 s, 32768 iters, t-(init.)=1.94 s
    t(norm)=0.925064, mflops=5.40503 (err=1.2e-08)
26. NAPACK (f2c): elapsed time t=1.83 s, 16384 iters, t-(init.)=1.81 s
    t(norm)=1.72615, mflops=2.89662 (err=3.5e-16)
27. Nielsen: elapsed time t=1.12 s, 16384 iters, t-(init.)=1.1 s
    t(norm)=1.04904, mflops=4.76625 (err=1.3e-16)
28. NR (C): elapsed time t=1.95 s, 32768 iters, t-(init.)=1.92 s
    t(norm)=0.915527, mflops=5.46133 (err=1.6e-16)
29. NR (F): elapsed time t=1.06 s, 16384 iters, t-(init.)=1.04 s
    t(norm)=0.991821, mflops=5.04123 (err=1.7e-16)
30. Ooura (C): elapsed time t=1.93 s, 65536 iters, t-(init.)=1.87 s
    t(norm)=0.445843, mflops=11.2147 (err=1.4e-16)
31. Ooura (F): elapsed time t=1.98 s, 65536 iters, t-(init.)=1.92 s
    t(norm)=0.457764, mflops=10.9227 (err=1.4e-16)
32. QFT: elapsed time t=1.81 s, 65536 iters, t-(init.)=1.75 s
    t(norm)=0.417233, mflops=11.9837 (err=1.3e-16)
33. Ransom: elapsed time t=1.48 s, 16384 iters, t-(init.)=1.47 s
    t(norm)=1.4019, mflops=3.56659 (err=6.0e-16)
34. SCIPORT: elapsed time t=1.7 s, 16384 iters, t-(init.)=1.69 s
    t(norm)=1.61171, mflops=3.1023 (err=5.2e-08)
35. Singleton: elapsed time t=1.76 s, 32768 iters, t-(init.)=1.73 s
    t(norm)=0.824928, mflops=6.06113 (err=1.7e-16)
36. Singleton (f2c): elapsed time t=1.66 s, 32768 iters, t-(init.)=1.63 s
    t(norm)=0.777245, mflops=6.43298 (err=1.9e-16)
37. Sorensen: elapsed time t=1.1 s, 32768 iters, t-(init.)=1.07 s
    t(norm)=0.510216, mflops=9.79978 (err=1.3e-16)
38. Sorensen DIT: elapsed time t=1.02 s, 16384 iters, t-(init.)=1 s
    t(norm)=0.953674, mflops=5.24288 (err=1.4e-16)
39. Temperton: elapsed time t=1.36 s, 32768 iters, t-(init.)=1.33 s
    t(norm)=0.634193, mflops=7.88403 (err=2.9e-08)
40. Temperton (f2c): elapsed time t=1.55 s, 32768 iters, t-(init.)=1.52 s
    t(norm)=0.724792, mflops=6.89853 (err=1.5e-16)
41. Valkenburg: elapsed time t=1.04 s, 8192 iters, t-(init.)=1.03 s
    t(norm)=1.96457, mflops=2.54509 (err=3.0e-16)

Top mflops for N=16 = 14.7687
Normalized results and averages for N=16:
  fft 0: mflops = 7.48983 (norm. = 0.507143), norm. avg. (of 4) = 0.727199
  fft 1: mflops = 7.82519 (norm. = 0.529851), norm. avg. (of 4) = 0.714194
  fft 2: mflops = 5.99186 (norm. = 0.405714), norm. avg. (of 4) = 0.426196
  fft 3: mflops = 3.03057 (norm. = 0.205202), norm. avg. (of 4) = 0.131382
  fft 4: mflops = 4.94611 (norm. = 0.334906), norm. avg. (of 4) = 0.256
  fft 5: mflops = 2.68866 (norm. = 0.182051), norm. avg. (of 4) = 0.152334
  fft 6: mflops = 7.54371 (norm. = 0.510791), norm. avg. (of 4) = 0.396357
  fft 7: mflops = 6.39376 (norm. = 0.432927), norm. avg. (of 4) = 0.324374
  fft 8: mflops = 4.80998 (norm. = 0.325688), norm. avg. (of 4) = 0.430539
  fft 9: mflops = 11.6508 (norm. = 0.788889), norm. avg. (of 4) = 0.50248
  fft 10: mflops = 5.14008 (norm. = 0.348039), norm. avg. (of 4) = 0.205607
  fft 11: mflops = 4.99322 (norm. = 0.338095), norm. avg. (of 3) = 0.339514
  fft 12: mflops = 10.4858 (norm. = 0.71), norm. avg. (of 4) = 0.560398
  fft 13: mflops = 9.98644 (norm. = 0.67619), norm. avg. (of 4) = 0.505219
  fft 14: mflops = 14.7687 (norm. = 1), norm. avg. (of 4) = 0.948539
  fft 15: mflops = 14.5636 (norm. = 0.986111), norm. avg. (of 4) = 0.950764
  fft 16: mflops = 13.7069 (norm. = 0.928105), norm. avg. (of 4) = 0.977218
  fft 17: mflops = 7.65384 (norm. = 0.518248), norm. avg. (of 2) = 0.552228
  fft 18: mflops = 7.59838 (norm. = 0.514493), norm. avg. (of 4) = 0.370894
  fft 19: mflops = 5.57753 (norm. = 0.37766), norm. avg. (of 4) = 0.241913
  fft 20: mflops = 4.44312 (norm. = 0.300847), norm. avg. (of 4) = 0.19742
  fft 21: mflops = 10.9227 (norm. = 0.739583), norm. avg. (of 4) = 0.692729
  fft 22: mflops = 7.18203 (norm. = 0.486301), norm. avg. (of 3) = 0.477215
  fft 23: mflops = 7.65384 (norm. = 0.518248), norm. avg. (of 3) = 0.48093
  fft 24: mflops = 8.192 (norm. = 0.554687), norm. avg. (of 3) = 0.495622
  fft 25: mflops = 5.40503 (norm. = 0.365979), norm. avg. (of 3) = 0.255703
  fft 26: mflops = 2.89662 (norm. = 0.196133), norm. avg. (of 4) = 0.127031
  fft 27: mflops = 4.76625 (norm. = 0.322727), norm. avg. (of 4) = 0.206708
  fft 28: mflops = 5.46133 (norm. = 0.369792), norm. avg. (of 4) = 0.236407
  fft 29: mflops = 5.04123 (norm. = 0.341346), norm. avg. (of 4) = 0.21859
  fft 30: mflops = 11.2147 (norm. = 0.759358), norm. avg. (of 4) = 0.750812
  fft 31: mflops = 10.9227 (norm. = 0.739583), norm. avg. (of 4) = 0.712322
  fft 32: mflops = 11.9837 (norm. = 0.811429), norm. avg. (of 1) = 0.811429
  fft 33: mflops = 3.56659 (norm. = 0.241497), norm. avg. (of 3) = 0.148883
  fft 34: mflops = 3.1023 (norm. = 0.210059), norm. avg. (of 3) = 0.216478
  fft 35: mflops = 6.06113 (norm. = 0.410405), norm. avg. (of 4) = 0.255385
  fft 36: mflops = 6.43298 (norm. = 0.435583), norm. avg. (of 4) = 0.275818
  fft 37: mflops = 9.79978 (norm. = 0.663551), norm. avg. (of 4) = 0.624583
  fft 38: mflops = 5.24288 (norm. = 0.355), norm. avg. (of 4) = 0.429789
  fft 39: mflops = 7.88403 (norm. = 0.533835), norm. avg. (of 4) = 0.367036
  fft 40: mflops = 6.89853 (norm. = 0.467105), norm. avg. (of 4) = 0.323672
  fft 41: mflops = 2.54509 (norm. = 0.17233), norm. avg. (of 4) = 0.176578

Benchmarking for array size = 32 (power of 2):
0. Arndt DIF: elapsed time t=1.65 s, 16384 iters, t-(init.)=1.63 s
    t(norm)=0.621796, mflops=8.04123 (err=6.0e-16)
1. Arndt DIT: elapsed time t=1.61 s, 16384 iters, t-(init.)=1.58 s
    t(norm)=0.602722, mflops=8.2957 (err=5.5e-16)
2. Arndt Split-Radix: elapsed time t=1.07 s, 8192 iters, t-(init.)=1.05 s
    t(norm)=0.801086, mflops=6.24152 (err=3.6e-16)
3. Arndt 4-step: elapsed time t=1.94 s, 8192 iters, t-(init.)=1.93 s
    t(norm)=1.47247, mflops=3.39565 (err=3.2e-16)
4. Bailey: elapsed time t=1.13 s, 8192 iters, t-(init.)=1.12 s
    t(norm)=0.854492, mflops=5.85143 (err=6.7e-16)
5. Beauregard: elapsed time t=1.23 s, 4096 iters, t-(init.)=1.22 s
    t(norm)=1.86157, mflops=2.6859 (err=6.6e-16)
6. Bergland: elapsed time t=1.55 s, 16384 iters, t-(init.)=1.53 s
    t(norm)=0.583649, mflops=8.5668 (err=6.4e-16)
7. Brenner: elapsed time t=1.95 s, 16384 iters, t-(init.)=1.93 s
    t(norm)=0.736237, mflops=6.7913 (err=6.0e-16)
8. Burrus: elapsed time t=1.34 s, 8192 iters, t-(init.)=1.33 s
    t(norm)=1.01471, mflops=4.92752 (err=3.5e-16)
9. CWP (min N) (N=33): elapsed time t=1.52 s, 16384 iters, t-(init.)=1.49 s
    t(norm)=0.56839, mflops=8.79678
10. CWP (best N) (N=35): elapsed time t=1.51 s, 16384 iters, t-(init.)=1.48 s
    t(norm)=0.564575, mflops=8.85622
11. Edelblute: elapsed time t=1.29 s, 8192 iters, t-(init.)=1.27 s
    t(norm)=0.968933, mflops=5.16031 (err=3.5e-16)
12. FFTPACK: elapsed time t=1.4 s, 16384 iters, t-(init.)=1.37 s
    t(norm)=0.522614, mflops=9.5673 (err=4.4e-16)
13. FFTPACK (f2c): elapsed time t=1.46 s, 16384 iters, t-(init.)=1.43 s
    t(norm)=0.545502, mflops=9.16587 (err=5.3e-16)

FFTW_MEASURE plan: (cost = 5.859375e-05)
FFTW_NOTW 32

14. FFTW: elapsed time t=1.9 s, 32768 iters, t-(init.)=1.84 s
    t(norm)=0.350952, mflops=14.247 (err=6.1e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.91 s, 32768 iters, t-(init.)=1.86 s
    t(norm)=0.354767, mflops=14.0938 (err=6.1e-16)
16. Frigo-old: elapsed time t=1.02 s, 16384 iters, t-(init.)=0.99 s
    t(norm)=0.377655, mflops=13.2396 (err=5.5e-16)
17. Green: elapsed time t=1.65 s, 16384 iters, t-(init.)=1.63 s
    t(norm)=0.621796, mflops=8.04123 (err=6.9e-16)
18. GSL: elapsed time t=1.86 s, 16384 iters, t-(init.)=1.83 s
    t(norm)=0.69809, mflops=7.1624 (err=5.0e-16)
19. GSL DIT: elapsed time t=1.02 s, 8192 iters, t-(init.)=1.01 s
    t(norm)=0.770569, mflops=6.48871 (err=6.1e-16)
20. GSL DIF: elapsed time t=1.26 s, 8192 iters, t-(init.)=1.25 s
    t(norm)=0.953674, mflops=5.24288 (err=4.3e-16)
21. Krukar: elapsed time t=1.27 s, 16384 iters, t-(init.)=1.25 s
    t(norm)=0.476837, mflops=10.4858 (err=8.6e-16)
22. Mayer (Buneman): elapsed time t=1.75 s, 16384 iters, t-(init.)=1.73 s
    t(norm)=0.659943, mflops=7.57642 (err=3.5e-16)
23. Mayer (simple): elapsed time t=1.58 s, 16384 iters, t-(init.)=1.56 s
    t(norm)=0.595093, mflops=8.40205
24. Mayer (lookup): elapsed time t=1.5 s, 16384 iters, t-(init.)=1.48 s
    t(norm)=0.564575, mflops=8.85622 (err=5.9e-16)
25. Monro: elapsed time t=1.02 s, 8192 iters, t-(init.)=1 s
    t(norm)=0.762939, mflops=6.5536 (err=1.2e-07)
26. NAPACK (f2c): elapsed time t=1 s, 4096 iters, t-(init.)=1 s
    t(norm)=1.52588, mflops=3.2768 (err=9.3e-16)
27. Nielsen: elapsed time t=1.09 s, 8192 iters, t-(init.)=1.08 s
    t(norm)=0.823975, mflops=6.06815 (err=3.1e-15)
28. NR (C): elapsed time t=1.01 s, 8192 iters, t-(init.)=0.99 s
    t(norm)=0.75531, mflops=6.6198 (err=6.1e-16)
29. NR (F): elapsed time t=1.11 s, 8192 iters, t-(init.)=1.1 s
    t(norm)=0.839233, mflops=5.95782 (err=7.0e-16)
30. Ooura (C): elapsed time t=1.2 s, 16384 iters, t-(init.)=1.18 s
    t(norm)=0.450134, mflops=11.1078 (err=4.3e-16)
31. Ooura (F): elapsed time t=1.25 s, 16384 iters, t-(init.)=1.22 s
    t(norm)=0.465393, mflops=10.7436 (err=4.3e-16)
32. QFT: elapsed time t=1.22 s, 16384 iters, t-(init.)=1.19 s
    t(norm)=0.453949, mflops=11.0145 (err=4.6e-16)
33. Ransom: elapsed time t=1.64 s, 8192 iters, t-(init.)=1.63 s
    t(norm)=1.24359, mflops=4.02061 (err=3.8e-15)
34. SCIPORT: elapsed time t=1.11 s, 4096 iters, t-(init.)=1.11 s
    t(norm)=1.69373, mflops=2.95207 (err=3.1e-07)
35. Singleton: elapsed time t=1.01 s, 8192 iters, t-(init.)=1 s
    t(norm)=0.762939, mflops=6.5536 (err=7.1e-16)
36. Singleton (f2c): elapsed time t=1.87 s, 16384 iters, t-(init.)=1.84 s
    t(norm)=0.701904, mflops=7.12348 (err=5.8e-16)
37. Sorensen: elapsed time t=1.32 s, 16384 iters, t-(init.)=1.3 s
    t(norm)=0.495911, mflops=10.0825 (err=3.4e-16)
38. Sorensen DIT: elapsed time t=1.23 s, 8192 iters, t-(init.)=1.22 s
    t(norm)=0.930786, mflops=5.3718 (err=5.1e-16)
39. Temperton: elapsed time t=1.67 s, 16384 iters, t-(init.)=1.64 s
    t(norm)=0.62561, mflops=7.9922 (err=1.8e-07)
40. Temperton (f2c): elapsed time t=1.03 s, 8192 iters, t-(init.)=1.02 s
    t(norm)=0.778198, mflops=6.4251 (err=5.1e-16)
41. Valkenburg: elapsed time t=1.28 s, 4096 iters, t-(init.)=1.28 s
    t(norm)=1.95313, mflops=2.56 (err=8.4e-16)

Top mflops for N=32 = 14.247
Normalized results and averages for N=32:
  fft 0: mflops = 8.04123 (norm. = 0.564417), norm. avg. (of 5) = 0.694642
  fft 1: mflops = 8.2957 (norm. = 0.582278), norm. avg. (of 5) = 0.687811
  fft 2: mflops = 6.24152 (norm. = 0.438095), norm. avg. (of 5) = 0.428576
  fft 3: mflops = 3.39565 (norm. = 0.238342), norm. avg. (of 5) = 0.152774
  fft 4: mflops = 5.85143 (norm. = 0.410714), norm. avg. (of 5) = 0.286943
  fft 5: mflops = 2.6859 (norm. = 0.188525), norm. avg. (of 5) = 0.159572
  fft 6: mflops = 8.5668 (norm. = 0.601307), norm. avg. (of 5) = 0.437347
  fft 7: mflops = 6.7913 (norm. = 0.476684), norm. avg. (of 5) = 0.354836
  fft 8: mflops = 4.92752 (norm. = 0.345865), norm. avg. (of 5) = 0.413604
  fft 9: mflops = 8.79678 (norm. = 0.61745), norm. avg. (of 5) = 0.525474
  fft 10: mflops = 8.85622 (norm. = 0.621622), norm. avg. (of 5) = 0.28881
  fft 11: mflops = 5.16031 (norm. = 0.362205), norm. avg. (of 4) = 0.345187
  fft 12: mflops = 9.5673 (norm. = 0.671533), norm. avg. (of 5) = 0.582625
  fft 13: mflops = 9.16587 (norm. = 0.643357), norm. avg. (of 5) = 0.532846
  fft 14: mflops = 14.247 (norm. = 1), norm. avg. (of 5) = 0.958831
  fft 15: mflops = 14.0938 (norm. = 0.989247), norm. avg. (of 5) = 0.958461
  fft 16: mflops = 13.2396 (norm. = 0.929293), norm. avg. (of 5) = 0.967633
  fft 17: mflops = 8.04123 (norm. = 0.564417), norm. avg. (of 3) = 0.556291
  fft 18: mflops = 7.1624 (norm. = 0.502732), norm. avg. (of 5) = 0.397262
  fft 19: mflops = 6.48871 (norm. = 0.455446), norm. avg. (of 5) = 0.284619
  fft 20: mflops = 5.24288 (norm. = 0.368), norm. avg. (of 5) = 0.231536
  fft 21: mflops = 10.4858 (norm. = 0.736), norm. avg. (of 5) = 0.701383
  fft 22: mflops = 7.57642 (norm. = 0.531792), norm. avg. (of 4) = 0.490859
  fft 23: mflops = 8.40205 (norm. = 0.589744), norm. avg. (of 4) = 0.508134
  fft 24: mflops = 8.85622 (norm. = 0.621622), norm. avg. (of 4) = 0.527122
  fft 25: mflops = 6.5536 (norm. = 0.46), norm. avg. (of 4) = 0.306777
  fft 26: mflops = 3.2768 (norm. = 0.23), norm. avg. (of 5) = 0.147625
  fft 27: mflops = 6.06815 (norm. = 0.425926), norm. avg. (of 5) = 0.250551
  fft 28: mflops = 6.6198 (norm. = 0.464646), norm. avg. (of 5) = 0.282055
  fft 29: mflops = 5.95782 (norm. = 0.418182), norm. avg. (of 5) = 0.258508
  fft 30: mflops = 11.1078 (norm. = 0.779661), norm. avg. (of 5) = 0.756582
  fft 31: mflops = 10.7436 (norm. = 0.754098), norm. avg. (of 5) = 0.720677
  fft 32: mflops = 11.0145 (norm. = 0.773109), norm. avg. (of 2) = 0.792269
  fft 33: mflops = 4.02061 (norm. = 0.282209), norm. avg. (of 4) = 0.182214
  fft 34: mflops = 2.95207 (norm. = 0.207207), norm. avg. (of 4) = 0.21416
  fft 35: mflops = 6.5536 (norm. = 0.46), norm. avg. (of 5) = 0.296308
  fft 36: mflops = 7.12348 (norm. = 0.5), norm. avg. (of 5) = 0.320654
  fft 37: mflops = 10.0825 (norm. = 0.707692), norm. avg. (of 5) = 0.641205
  fft 38: mflops = 5.3718 (norm. = 0.377049), norm. avg. (of 5) = 0.419241
  fft 39: mflops = 7.9922 (norm. = 0.560976), norm. avg. (of 5) = 0.405824
  fft 40: mflops = 6.4251 (norm. = 0.45098), norm. avg. (of 5) = 0.349133
  fft 41: mflops = 2.56 (norm. = 0.179687), norm. avg. (of 5) = 0.1772

Benchmarking for array size = 64 (power of 2):
0. Arndt DIF: elapsed time t=1.06 s, 4096 iters, t-(init.)=1.05 s
    t(norm)=0.667572, mflops=7.48983 (err=2.3e-16)
1. Arndt DIT: elapsed time t=1.99 s, 8192 iters, t-(init.)=1.97 s
    t(norm)=0.626246, mflops=7.98408 (err=3.4e-16)
2. Arndt Split-Radix: elapsed time t=1.22 s, 4096 iters, t-(init.)=1.21 s
    t(norm)=0.769297, mflops=6.49944 (err=4.4e-16)
3. Arndt 4-step: elapsed time t=1.92 s, 4096 iters, t-(init.)=1.9 s
    t(norm)=1.20799, mflops=4.13912 (err=3.6e-16)
4. Bailey: elapsed time t=1.3 s, 4096 iters, t-(init.)=1.29 s
    t(norm)=0.82016, mflops=6.09637 (err=4.8e-16)
5. Beauregard: elapsed time t=1.52 s, 2048 iters, t-(init.)=1.51 s
    t(norm)=1.92006, mflops=2.60408 (err=3.8e-16)
6. Bergland: elapsed time t=1.81 s, 8192 iters, t-(init.)=1.79 s
    t(norm)=0.569026, mflops=8.78695 (err=2.5e-16)
7. Brenner: elapsed time t=1.08 s, 4096 iters, t-(init.)=1.07 s
    t(norm)=0.680288, mflops=7.34983 (err=3.8e-16)
8. Burrus: elapsed time t=1.55 s, 4096 iters, t-(init.)=1.53 s
    t(norm)=0.972748, mflops=5.14008 (err=4.2e-16)
9. CWP (min N) (N=65): elapsed time t=1.78 s, 8192 iters, t-(init.)=1.75 s
    t(norm)=0.55631, mflops=8.98779
10. CWP (best N) (N=84): elapsed time t=1.95 s, 8192 iters, t-(init.)=1.92 s
    t(norm)=0.610352, mflops=8.192
11. Edelblute: elapsed time t=1.5 s, 4096 iters, t-(init.)=1.49 s
    t(norm)=0.947316, mflops=5.27807 (err=3.6e-16)
12. FFTPACK: elapsed time t=1.64 s, 8192 iters, t-(init.)=1.61 s
    t(norm)=0.511805, mflops=9.76934 (err=4.2e-16)
13. FFTPACK (f2c): elapsed time t=1.71 s, 8192 iters, t-(init.)=1.69 s
    t(norm)=0.537237, mflops=9.30689 (err=4.5e-16)

FFTW_MEASURE plan: (cost = 1.464844e-04)
FFTW_NOTW 64

14. FFTW: elapsed time t=1.19 s, 8192 iters, t-(init.)=1.16 s
    t(norm)=0.368754, mflops=13.5592 (err=4.2e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.31 s, 8192 iters, t-(init.)=1.29 s
    t(norm)=0.41008, mflops=12.1927 (err=2.6e-16)
16. Frigo-old: elapsed time t=1.42 s, 8192 iters, t-(init.)=1.39 s
    t(norm)=0.441869, mflops=11.3156 (err=4.5e-16)
17. Green: elapsed time t=1.84 s, 8192 iters, t-(init.)=1.81 s
    t(norm)=0.575384, mflops=8.68986 (err=3.7e-16)
18. GSL: elapsed time t=1.02 s, 4096 iters, t-(init.)=1.01 s
    t(norm)=0.642141, mflops=7.78646 (err=3.8e-16)
19. GSL DIT: elapsed time t=1.1 s, 4096 iters, t-(init.)=1.09 s
    t(norm)=0.693003, mflops=7.21497 (err=3.2e-16)
20. GSL DIF: elapsed time t=1.39 s, 4096 iters, t-(init.)=1.38 s
    t(norm)=0.87738, mflops=5.69878 (err=3.1e-16)
21. Krukar: elapsed time t=1.6 s, 8192 iters, t-(init.)=1.57 s
    t(norm)=0.49909, mflops=10.0182 (err=5.3e-16)
22. Mayer (Buneman): elapsed time t=1.07 s, 4096 iters, t-(init.)=1.06 s
    t(norm)=0.67393, mflops=7.41917 (err=2.0e-16)
23. Mayer (simple): elapsed time t=1.92 s, 8192 iters, t-(init.)=1.9 s
    t(norm)=0.603994, mflops=8.27823
24. Mayer (lookup): elapsed time t=1.8 s, 8192 iters, t-(init.)=1.77 s
    t(norm)=0.562668, mflops=8.88624 (err=3.4e-16)
25. Monro: elapsed time t=1.08 s, 4096 iters, t-(init.)=1.06 s
    t(norm)=0.67393, mflops=7.41917 (err=4.9e-08)
26. NAPACK (f2c): elapsed time t=1.07 s, 2048 iters, t-(init.)=1.07 s
    t(norm)=1.36058, mflops=3.67492 (err=1.0e-15)
27. Nielsen: elapsed time t=1.15 s, 4096 iters, t-(init.)=1.14 s
    t(norm)=0.724792, mflops=6.89853 (err=6.5e-15)
28. NR (C): elapsed time t=1.09 s, 4096 iters, t-(init.)=1.08 s
    t(norm)=0.686646, mflops=7.28178 (err=3.2e-16)
29. NR (F): elapsed time t=1.2 s, 4096 iters, t-(init.)=1.19 s
    t(norm)=0.756582, mflops=6.60867 (err=3.4e-16)
30. Ooura (C): elapsed time t=1.46 s, 8192 iters, t-(init.)=1.43 s
    t(norm)=0.454585, mflops=10.999 (err=2.9e-16)
31. Ooura (F): elapsed time t=1.49 s, 8192 iters, t-(init.)=1.46 s
    t(norm)=0.464122, mflops=10.773 (err=2.9e-16)
32. QFT: elapsed time t=1.56 s, 8192 iters, t-(init.)=1.53 s
    t(norm)=0.486374, mflops=10.2802 (err=5.9e-16)
33. Ransom: elapsed time t=1.44 s, 4096 iters, t-(init.)=1.42 s
    t(norm)=0.902812, mflops=5.53825 (err=2.5e-15)
34. SCIPORT: elapsed time t=1.34 s, 2048 iters, t-(init.)=1.33 s
    t(norm)=1.69118, mflops=2.95651 (err=2.0e-07)
35. Singleton: elapsed time t=1.09 s, 4096 iters, t-(init.)=1.08 s
    t(norm)=0.686646, mflops=7.28178 (err=3.5e-16)
36. Singleton (f2c): elapsed time t=1.03 s, 4096 iters, t-(init.)=1.02 s
    t(norm)=0.648499, mflops=7.71012 (err=4.6e-16)
37. Sorensen: elapsed time t=1.54 s, 8192 iters, t-(init.)=1.51 s
    t(norm)=0.480016, mflops=10.4163 (err=3.4e-16)
38. Sorensen DIT: elapsed time t=1.41 s, 4096 iters, t-(init.)=1.4 s
    t(norm)=0.890096, mflops=5.61737 (err=5.4e-16)
39. Temperton: elapsed time t=1.81 s, 8192 iters, t-(init.)=1.78 s
    t(norm)=0.565847, mflops=8.83631 (err=1.2e-07)
40. Temperton (f2c): elapsed time t=1.08 s, 4096 iters, t-(init.)=1.07 s
    t(norm)=0.680288, mflops=7.34983 (err=3.7e-16)
41. Valkenburg: elapsed time t=1.51 s, 2048 iters, t-(init.)=1.5 s
    t(norm)=1.90735, mflops=2.62144 (err=8.5e-16)

Top mflops for N=64 = 13.5592
Normalized results and averages for N=64:
  fft 0: mflops = 7.48983 (norm. = 0.552381), norm. avg. (of 6) = 0.670932
  fft 1: mflops = 7.98408 (norm. = 0.588832), norm. avg. (of 6) = 0.671315
  fft 2: mflops = 6.49944 (norm. = 0.479339), norm. avg. (of 6) = 0.437036
  fft 3: mflops = 4.13912 (norm. = 0.305263), norm. avg. (of 6) = 0.178189
  fft 4: mflops = 6.09637 (norm. = 0.449612), norm. avg. (of 6) = 0.314055
  fft 5: mflops = 2.60408 (norm. = 0.192053), norm. avg. (of 6) = 0.164985
  fft 6: mflops = 8.78695 (norm. = 0.648045), norm. avg. (of 6) = 0.472463
  fft 7: mflops = 7.34983 (norm. = 0.542056), norm. avg. (of 6) = 0.386039
  fft 8: mflops = 5.14008 (norm. = 0.379085), norm. avg. (of 6) = 0.407851
  fft 9: mflops = 8.98779 (norm. = 0.662857), norm. avg. (of 6) = 0.548371
  fft 10: mflops = 8.192 (norm. = 0.604167), norm. avg. (of 6) = 0.341369
  fft 11: mflops = 5.27807 (norm. = 0.389262), norm. avg. (of 5) = 0.354002
  fft 12: mflops = 9.76934 (norm. = 0.720497), norm. avg. (of 6) = 0.605604
  fft 13: mflops = 9.30689 (norm. = 0.686391), norm. avg. (of 6) = 0.558437
  fft 14: mflops = 13.5592 (norm. = 1), norm. avg. (of 6) = 0.965693
  fft 15: mflops = 12.1927 (norm. = 0.899225), norm. avg. (of 6) = 0.948588
  fft 16: mflops = 11.3156 (norm. = 0.834532), norm. avg. (of 6) = 0.94545
  fft 17: mflops = 8.68986 (norm. = 0.640884), norm. avg. (of 4) = 0.577439
  fft 18: mflops = 7.78646 (norm. = 0.574257), norm. avg. (of 6) = 0.426761
  fft 19: mflops = 7.21497 (norm. = 0.53211), norm. avg. (of 6) = 0.325868
  fft 20: mflops = 5.69878 (norm. = 0.42029), norm. avg. (of 6) = 0.262995
  fft 21: mflops = 10.0182 (norm. = 0.738854), norm. avg. (of 6) = 0.707628
  fft 22: mflops = 7.41917 (norm. = 0.54717), norm. avg. (of 5) = 0.502121
  fft 23: mflops = 8.27823 (norm. = 0.610526), norm. avg. (of 5) = 0.528612
  fft 24: mflops = 8.88624 (norm. = 0.655367), norm. avg. (of 5) = 0.552771
  fft 25: mflops = 7.41917 (norm. = 0.54717), norm. avg. (of 5) = 0.354856
  fft 26: mflops = 3.67492 (norm. = 0.271028), norm. avg. (of 6) = 0.168192
  fft 27: mflops = 6.89853 (norm. = 0.508772), norm. avg. (of 6) = 0.293588
  fft 28: mflops = 7.28178 (norm. = 0.537037), norm. avg. (of 6) = 0.324552
  fft 29: mflops = 6.60867 (norm. = 0.487395), norm. avg. (of 6) = 0.296656
  fft 30: mflops = 10.999 (norm. = 0.811189), norm. avg. (of 6) = 0.765683
  fft 31: mflops = 10.773 (norm. = 0.794521), norm. avg. (of 6) = 0.732984
  fft 32: mflops = 10.2802 (norm. = 0.75817), norm. avg. (of 3) = 0.780903
  fft 33: mflops = 5.53825 (norm. = 0.408451), norm. avg. (of 5) = 0.227461
  fft 34: mflops = 2.95651 (norm. = 0.218045), norm. avg. (of 5) = 0.214937
  fft 35: mflops = 7.28178 (norm. = 0.537037), norm. avg. (of 6) = 0.33643
  fft 36: mflops = 7.71012 (norm. = 0.568627), norm. avg. (of 6) = 0.361983
  fft 37: mflops = 10.4163 (norm. = 0.768212), norm. avg. (of 6) = 0.662373
  fft 38: mflops = 5.61737 (norm. = 0.414286), norm. avg. (of 6) = 0.418415
  fft 39: mflops = 8.83631 (norm. = 0.651685), norm. avg. (of 6) = 0.446801
  fft 40: mflops = 7.34983 (norm. = 0.542056), norm. avg. (of 6) = 0.381287
  fft 41: mflops = 2.62144 (norm. = 0.193333), norm. avg. (of 6) = 0.179889

Benchmarking for array size = 128 (power of 2):
0. Arndt DIF: elapsed time t=1.17 s, 2048 iters, t-(init.)=1.15 s
    t(norm)=0.6267, mflops=7.9783 (err=3.8e-16)
1. Arndt DIT: elapsed time t=1.12 s, 2048 iters, t-(init.)=1.1 s
    t(norm)=0.599452, mflops=8.34095 (err=5.1e-16)
2. Arndt Split-Radix: elapsed time t=1.36 s, 2048 iters, t-(init.)=1.35 s
    t(norm)=0.735692, mflops=6.79633 (err=6.1e-16)
3. Arndt 4-step: elapsed time t=1.15 s, 1024 iters, t-(init.)=1.14 s
    t(norm)=1.2425, mflops=4.02414 (err=3.3e-16)
4. Bailey: elapsed time t=1.39 s, 2048 iters, t-(init.)=1.38 s
    t(norm)=0.75204, mflops=6.64858 (err=6.1e-16)
5. Beauregard: elapsed time t=1.79 s, 1024 iters, t-(init.)=1.79 s
    t(norm)=1.95095, mflops=2.56286 (err=9.3e-16)
6. Bergland: elapsed time t=1.05 s, 2048 iters, t-(init.)=1.03 s
    t(norm)=0.561305, mflops=8.90781 (err=6.2e-16)
7. Brenner: elapsed time t=1.22 s, 2048 iters, t-(init.)=1.21 s
    t(norm)=0.659398, mflops=7.58268 (err=6.6e-16)
8. Burrus: elapsed time t=1.72 s, 2048 iters, t-(init.)=1.71 s
    t(norm)=0.931876, mflops=5.36552 (err=5.3e-16)
9. CWP (min N) (N=130): elapsed time t=1.96 s, 4096 iters, t-(init.)=1.93 s
    t(norm)=0.525883, mflops=9.50781
10. CWP (best N) (N=140): elapsed time t=1.82 s, 4096 iters, t-(init.)=1.79 s
    t(norm)=0.487736, mflops=10.2514
11. Edelblute: elapsed time t=1.68 s, 2048 iters, t-(init.)=1.66 s
    t(norm)=0.904628, mflops=5.52713 (err=6.7e-16)
12. FFTPACK: elapsed time t=1.86 s, 4096 iters, t-(init.)=1.84 s
    t(norm)=0.50136, mflops=9.97287 (err=5.3e-16)
13. FFTPACK (f2c): elapsed time t=1.89 s, 4096 iters, t-(init.)=1.86 s
    t(norm)=0.50681, mflops=9.86563 (err=6.2e-16)

FFTW_MEASURE plan: (cost = 3.710938e-04)
FFTW_TWIDDLE 16
FFTW_NOTW 8

14. FFTW: elapsed time t=1.52 s, 4096 iters, t-(init.)=1.49 s
    t(norm)=0.405993, mflops=12.3155 (err=5.8e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.53 s, 4096 iters, t-(init.)=1.51 s
    t(norm)=0.411442, mflops=12.1524 (err=3.6e-16)
16. Frigo-old: elapsed time t=1.65 s, 4096 iters, t-(init.)=1.63 s
    t(norm)=0.44414, mflops=11.2577 (err=4.4e-16)
17. Green: elapsed time t=1.13 s, 2048 iters, t-(init.)=1.12 s
    t(norm)=0.610352, mflops=8.192 (err=6.9e-16)
18. GSL: elapsed time t=1.19 s, 2048 iters, t-(init.)=1.18 s
    t(norm)=0.643049, mflops=7.77546 (err=8.2e-16)
19. GSL DIT: elapsed time t=1.21 s, 2048 iters, t-(init.)=1.2 s
    t(norm)=0.653948, mflops=7.64587 (err=7.5e-16)
20. GSL DIF: elapsed time t=1.54 s, 2048 iters, t-(init.)=1.53 s
    t(norm)=0.833784, mflops=5.99676 (err=7.6e-16)
21. Krukar: elapsed time t=1.95 s, 4096 iters, t-(init.)=1.93 s
    t(norm)=0.525883, mflops=9.50781 (err=6.5e-16)
22. Mayer (Buneman): elapsed time t=1.18 s, 2048 iters, t-(init.)=1.17 s
    t(norm)=0.637599, mflops=7.84191 (err=3.1e-16)
23. Mayer (simple): elapsed time t=1.07 s, 2048 iters, t-(init.)=1.06 s
    t(norm)=0.577654, mflops=8.6557
24. Mayer (lookup): elapsed time t=1.98 s, 4096 iters, t-(init.)=1.95 s
    t(norm)=0.531333, mflops=9.4103 (err=3.5e-16)
25. Monro: elapsed time t=1.24 s, 2048 iters, t-(init.)=1.23 s
    t(norm)=0.670297, mflops=7.45938 (err=8.3e-08)
26. NAPACK (f2c): elapsed time t=1.18 s, 1024 iters, t-(init.)=1.18 s
    t(norm)=1.2861, mflops=3.88773 (err=1.6e-15)
27. Nielsen: elapsed time t=1.32 s, 2048 iters, t-(init.)=1.31 s
    t(norm)=0.713893, mflops=7.00385 (err=1.7e-15)
28. NR (C): elapsed time t=1.18 s, 2048 iters, t-(init.)=1.17 s
    t(norm)=0.637599, mflops=7.84191 (err=7.5e-16)
29. NR (F): elapsed time t=1.3 s, 2048 iters, t-(init.)=1.28 s
    t(norm)=0.697545, mflops=7.168 (err=6.9e-16)
30. Ooura (C): elapsed time t=1.73 s, 4096 iters, t-(init.)=1.71 s
    t(norm)=0.465938, mflops=10.731 (err=6.7e-16)
31. Ooura (F): elapsed time t=1.75 s, 4096 iters, t-(init.)=1.72 s
    t(norm)=0.468663, mflops=10.6687 (err=6.7e-16)
32. QFT: elapsed time t=1.85 s, 4096 iters, t-(init.)=1.83 s
    t(norm)=0.498635, mflops=10.0274 (err=4.9e-16)
33. Ransom: elapsed time t=1.66 s, 2048 iters, t-(init.)=1.65 s
    t(norm)=0.899179, mflops=5.56063 (err=1.7e-15)
34. SCIPORT: elapsed time t=1.6 s, 1024 iters, t-(init.)=1.6 s
    t(norm)=1.74386, mflops=2.8672 (err=1.6e-07)
35. Singleton: elapsed time t=1.3 s, 2048 iters, t-(init.)=1.29 s
    t(norm)=0.702994, mflops=7.11243 (err=6.2e-16)
36. Singleton (f2c): elapsed time t=1.2 s, 2048 iters, t-(init.)=1.19 s
    t(norm)=0.648499, mflops=7.71012 (err=5.7e-16)
37. Sorensen: elapsed time t=1.78 s, 4096 iters, t-(init.)=1.75 s
    t(norm)=0.476837, mflops=10.4858 (err=4.3e-16)
38. Sorensen DIT: elapsed time t=1.56 s, 2048 iters, t-(init.)=1.54 s
    t(norm)=0.839233, mflops=5.95782 (err=4.0e-16)
39. Temperton: elapsed time t=1.1 s, 2048 iters, t-(init.)=1.09 s
    t(norm)=0.594003, mflops=8.41747 (err=9.9e-08)
40. Temperton (f2c): elapsed time t=1.28 s, 2048 iters, t-(init.)=1.26 s
    t(norm)=0.686646, mflops=7.28178 (err=7.7e-16)
41. Valkenburg: elapsed time t=1.76 s, 1024 iters, t-(init.)=1.76 s
    t(norm)=1.91825, mflops=2.60655 (err=8.6e-16)

Top mflops for N=128 = 12.3155
Normalized results and averages for N=128:
  fft 0: mflops = 7.9783 (norm. = 0.647826), norm. avg. (of 7) = 0.667631
  fft 1: mflops = 8.34095 (norm. = 0.677273), norm. avg. (of 7) = 0.672166
  fft 2: mflops = 6.79633 (norm. = 0.551852), norm. avg. (of 7) = 0.453439
  fft 3: mflops = 4.02414 (norm. = 0.326754), norm. avg. (of 7) = 0.199413
  fft 4: mflops = 6.64858 (norm. = 0.539855), norm. avg. (of 7) = 0.346312
  fft 5: mflops = 2.56286 (norm. = 0.208101), norm. avg. (of 7) = 0.171145
  fft 6: mflops = 8.90781 (norm. = 0.723301), norm. avg. (of 7) = 0.508297
  fft 7: mflops = 7.58268 (norm. = 0.615702), norm. avg. (of 7) = 0.418848
  fft 8: mflops = 5.36552 (norm. = 0.435673), norm. avg. (of 7) = 0.411825
  fft 9: mflops = 9.50781 (norm. = 0.772021), norm. avg. (of 7) = 0.580321
  fft 10: mflops = 10.2514 (norm. = 0.832402), norm. avg. (of 7) = 0.411517
  fft 11: mflops = 5.52713 (norm. = 0.448795), norm. avg. (of 6) = 0.3698
  fft 12: mflops = 9.97287 (norm. = 0.809783), norm. avg. (of 7) = 0.634772
  fft 13: mflops = 9.86563 (norm. = 0.801075), norm. avg. (of 7) = 0.5931
  fft 14: mflops = 12.3155 (norm. = 1), norm. avg. (of 7) = 0.970594
  fft 15: mflops = 12.1524 (norm. = 0.986755), norm. avg. (of 7) = 0.954041
  fft 16: mflops = 11.2577 (norm. = 0.91411), norm. avg. (of 7) = 0.940973
  fft 17: mflops = 8.192 (norm. = 0.665179), norm. avg. (of 5) = 0.594987
  fft 18: mflops = 7.77546 (norm. = 0.631356), norm. avg. (of 7) = 0.455989
  fft 19: mflops = 7.64587 (norm. = 0.620833), norm. avg. (of 7) = 0.368006
  fft 20: mflops = 5.99676 (norm. = 0.486928), norm. avg. (of 7) = 0.294985
  fft 21: mflops = 9.50781 (norm. = 0.772021), norm. avg. (of 7) = 0.716827
  fft 22: mflops = 7.84191 (norm. = 0.636752), norm. avg. (of 6) = 0.52456
  fft 23: mflops = 8.6557 (norm. = 0.70283), norm. avg. (of 6) = 0.557648
  fft 24: mflops = 9.4103 (norm. = 0.764103), norm. avg. (of 6) = 0.587993
  fft 25: mflops = 7.45938 (norm. = 0.605691), norm. avg. (of 6) = 0.396662
  fft 26: mflops = 3.88773 (norm. = 0.315678), norm. avg. (of 7) = 0.189261
  fft 27: mflops = 7.00385 (norm. = 0.568702), norm. avg. (of 7) = 0.33289
  fft 28: mflops = 7.84191 (norm. = 0.636752), norm. avg. (of 7) = 0.369152
  fft 29: mflops = 7.168 (norm. = 0.582031), norm. avg. (of 7) = 0.337424
  fft 30: mflops = 10.731 (norm. = 0.871345), norm. avg. (of 7) = 0.780778
  fft 31: mflops = 10.6687 (norm. = 0.866279), norm. avg. (of 7) = 0.752026
  fft 32: mflops = 10.0274 (norm. = 0.814208), norm. avg. (of 4) = 0.789229
  fft 33: mflops = 5.56063 (norm. = 0.451515), norm. avg. (of 6) = 0.264804
  fft 34: mflops = 2.8672 (norm. = 0.232812), norm. avg. (of 6) = 0.217916
  fft 35: mflops = 7.11243 (norm. = 0.577519), norm. avg. (of 7) = 0.370871
  fft 36: mflops = 7.71012 (norm. = 0.62605), norm. avg. (of 7) = 0.399707
  fft 37: mflops = 10.4858 (norm. = 0.851429), norm. avg. (of 7) = 0.689381
  fft 38: mflops = 5.95782 (norm. = 0.483766), norm. avg. (of 7) = 0.427751
  fft 39: mflops = 8.41747 (norm. = 0.683486), norm. avg. (of 7) = 0.480613
  fft 40: mflops = 7.28178 (norm. = 0.59127), norm. avg. (of 7) = 0.411285
  fft 41: mflops = 2.60655 (norm. = 0.211648), norm. avg. (of 7) = 0.184426

Benchmarking for array size = 256 (power of 2):
0. Arndt DIF: elapsed time t=1.34 s, 1024 iters, t-(init.)=1.33 s
    t(norm)=0.634193, mflops=7.88403 (err=4.8e-16)
1. Arndt DIT: elapsed time t=1.26 s, 1024 iters, t-(init.)=1.25 s
    t(norm)=0.596046, mflops=8.38861 (err=5.1e-16)
2. Arndt Split-Radix: elapsed time t=1.5 s, 1024 iters, t-(init.)=1.49 s
    t(norm)=0.710487, mflops=7.03742 (err=5.5e-16)
3. Arndt 4-step: elapsed time t=1.29 s, 512 iters, t-(init.)=1.28 s
    t(norm)=1.2207, mflops=4.096 (err=5.7e-16)
4. Bailey: elapsed time t=1.61 s, 1024 iters, t-(init.)=1.59 s
    t(norm)=0.758171, mflops=6.59482 (err=5.5e-16)
5. Beauregard: elapsed time t=1.03 s, 256 iters, t-(init.)=1.03 s
    t(norm)=1.96457, mflops=2.54509 (err=4.8e-16)
6. Bergland: elapsed time t=1.14 s, 1024 iters, t-(init.)=1.13 s
    t(norm)=0.538826, mflops=9.27943 (err=5.7e-16)
7. Brenner: elapsed time t=1.33 s, 1024 iters, t-(init.)=1.32 s
    t(norm)=0.629425, mflops=7.94376 (err=4.8e-16)
8. Burrus: elapsed time t=1.87 s, 1024 iters, t-(init.)=1.85 s
    t(norm)=0.882149, mflops=5.66798 (err=5.4e-16)
9. CWP (min N) (N=260): elapsed time t=1.04 s, 1024 iters, t-(init.)=1.02 s
    t(norm)=0.486374, mflops=10.2802
10. CWP (best N) (N=280): elapsed time t=1.01 s, 1024 iters, t-(init.)=1 s
    t(norm)=0.476837, mflops=10.4858
11. Edelblute: elapsed time t=1.82 s, 1024 iters, t-(init.)=1.81 s
    t(norm)=0.863075, mflops=5.79324 (err=5.9e-16)
12. FFTPACK: elapsed time t=1.07 s, 1024 iters, t-(init.)=1.06 s
    t(norm)=0.505447, mflops=9.89223 (err=4.4e-16)
13. FFTPACK (f2c): elapsed time t=1.09 s, 1024 iters, t-(init.)=1.08 s
    t(norm)=0.514984, mflops=9.70904 (err=4.5e-16)

FFTW_MEASURE plan: (cost = 8.593750e-04)
FFTW_TWIDDLE 16
FFTW_NOTW 16

14. FFTW: elapsed time t=1.75 s, 2048 iters, t-(init.)=1.73 s
    t(norm)=0.412464, mflops=12.1223 (err=4.7e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.78 s, 2048 iters, t-(init.)=1.76 s
    t(norm)=0.419617, mflops=11.9156 (err=4.6e-16)
16. Frigo-old: elapsed time t=1.92 s, 2048 iters, t-(init.)=1.89 s
    t(norm)=0.450611, mflops=11.096 (err=4.5e-16)
17. Green: elapsed time t=1.29 s, 1024 iters, t-(init.)=1.28 s
    t(norm)=0.610352, mflops=8.192 (err=4.8e-16)
18. GSL: elapsed time t=1.29 s, 1024 iters, t-(init.)=1.28 s
    t(norm)=0.610352, mflops=8.192 (err=4.7e-16)
19. GSL DIT: elapsed time t=1.34 s, 1024 iters, t-(init.)=1.33 s
    t(norm)=0.634193, mflops=7.88403 (err=5.0e-16)
20. GSL DIF: elapsed time t=1.69 s, 1024 iters, t-(init.)=1.68 s
    t(norm)=0.801086, mflops=6.24152 (err=4.9e-16)
21. Krukar: elapsed time t=1.14 s, 1024 iters, t-(init.)=1.13 s
    t(norm)=0.538826, mflops=9.27943 (err=5.0e-16)
22. Mayer (Buneman): elapsed time t=1.34 s, 1024 iters, t-(init.)=1.32 s
    t(norm)=0.629425, mflops=7.94376 (err=4.7e-16)
23. Mayer (simple): elapsed time t=1.21 s, 1024 iters, t-(init.)=1.19 s
    t(norm)=0.567436, mflops=8.81156
24. Mayer (lookup): elapsed time t=1.14 s, 1024 iters, t-(init.)=1.12 s
    t(norm)=0.534058, mflops=9.36229 (err=5.7e-16)
25. Monro: elapsed time t=1.32 s, 1024 iters, t-(init.)=1.31 s
    t(norm)=0.624657, mflops=8.0044 (err=8.2e-08)
26. NAPACK (f2c): elapsed time t=1.28 s, 512 iters, t-(init.)=1.28 s
    t(norm)=1.2207, mflops=4.096 (err=3.9e-15)
27. Nielsen: elapsed time t=1.43 s, 1024 iters, t-(init.)=1.41 s
    t(norm)=0.67234, mflops=7.43671 (err=3.8e-15)
28. NR (C): elapsed time t=1.29 s, 1024 iters, t-(init.)=1.28 s
    t(norm)=0.610352, mflops=8.192 (err=4.9e-16)
29. NR (F): elapsed time t=1.43 s, 1024 iters, t-(init.)=1.42 s
    t(norm)=0.677109, mflops=7.38434 (err=4.5e-16)
30. Ooura (C): elapsed time t=1 s, 1024 iters, t-(init.)=0.99 s
    t(norm)=0.472069, mflops=10.5917 (err=5.0e-16)
31. Ooura (F): elapsed time t=1 s, 1024 iters, t-(init.)=0.99 s
    t(norm)=0.472069, mflops=10.5917 (err=5.0e-16)
32. QFT: elapsed time t=1.09 s, 1024 iters, t-(init.)=1.08 s
    t(norm)=0.514984, mflops=9.70904 (err=7.0e-16)
33. Ransom: elapsed time t=1.65 s, 1024 iters, t-(init.)=1.64 s
    t(norm)=0.782013, mflops=6.39376 (err=2.0e-15)
34. SCIPORT: elapsed time t=1.86 s, 512 iters, t-(init.)=1.85 s
    t(norm)=1.7643, mflops=2.83399 (err=1.4e-07)
35. Singleton: elapsed time t=1.36 s, 1024 iters, t-(init.)=1.35 s
    t(norm)=0.64373, mflops=7.76723 (err=5.0e-16)
36. Singleton (f2c): elapsed time t=1.31 s, 1024 iters, t-(init.)=1.3 s
    t(norm)=0.619888, mflops=8.06597 (err=5.4e-16)
37. Sorensen: elapsed time t=1.02 s, 1024 iters, t-(init.)=1.01 s
    t(norm)=0.481606, mflops=10.3819 (err=6.0e-16)
38. Sorensen DIT: elapsed time t=1.74 s, 1024 iters, t-(init.)=1.73 s
    t(norm)=0.824928, mflops=6.06113 (err=5.7e-16)
39. Temperton: elapsed time t=1.21 s, 1024 iters, t-(init.)=1.2 s
    t(norm)=0.572205, mflops=8.73813 (err=9.1e-08)
40. Temperton (f2c): elapsed time t=1.45 s, 1024 iters, t-(init.)=1.44 s
    t(norm)=0.686646, mflops=7.28178 (err=4.5e-16)
41. Valkenburg: elapsed time t=1 s, 256 iters, t-(init.)=0.99 s
    t(norm)=1.88828, mflops=2.64792 (err=6.4e-16)

Top mflops for N=256 = 12.1223
Normalized results and averages for N=256:
  fft 0: mflops = 7.88403 (norm. = 0.650376), norm. avg. (of 8) = 0.665474
  fft 1: mflops = 8.38861 (norm. = 0.692), norm. avg. (of 8) = 0.674645
  fft 2: mflops = 7.03742 (norm. = 0.580537), norm. avg. (of 8) = 0.469326
  fft 3: mflops = 4.096 (norm. = 0.337891), norm. avg. (of 8) = 0.216722
  fft 4: mflops = 6.59482 (norm. = 0.544025), norm. avg. (of 8) = 0.371026
  fft 5: mflops = 2.54509 (norm. = 0.209951), norm. avg. (of 8) = 0.175995
  fft 6: mflops = 9.27943 (norm. = 0.765487), norm. avg. (of 8) = 0.540446
  fft 7: mflops = 7.94376 (norm. = 0.655303), norm. avg. (of 8) = 0.448405
  fft 8: mflops = 5.66798 (norm. = 0.467568), norm. avg. (of 8) = 0.418793
  fft 9: mflops = 10.2802 (norm. = 0.848039), norm. avg. (of 8) = 0.613786
  fft 10: mflops = 10.4858 (norm. = 0.865), norm. avg. (of 8) = 0.468202
  fft 11: mflops = 5.79324 (norm. = 0.477901), norm. avg. (of 7) = 0.385243
  fft 12: mflops = 9.89223 (norm. = 0.816038), norm. avg. (of 8) = 0.65743
  fft 13: mflops = 9.70904 (norm. = 0.800926), norm. avg. (of 8) = 0.619078
  fft 14: mflops = 12.1223 (norm. = 1), norm. avg. (of 8) = 0.974269
  fft 15: mflops = 11.9156 (norm. = 0.982955), norm. avg. (of 8) = 0.957655
  fft 16: mflops = 11.096 (norm. = 0.915344), norm. avg. (of 8) = 0.937769
  fft 17: mflops = 8.192 (norm. = 0.675781), norm. avg. (of 6) = 0.608453
  fft 18: mflops = 8.192 (norm. = 0.675781), norm. avg. (of 8) = 0.483463
  fft 19: mflops = 7.88403 (norm. = 0.650376), norm. avg. (of 8) = 0.403302
  fft 20: mflops = 6.24152 (norm. = 0.514881), norm. avg. (of 8) = 0.322472
  fft 21: mflops = 9.27943 (norm. = 0.765487), norm. avg. (of 8) = 0.72291
  fft 22: mflops = 7.94376 (norm. = 0.655303), norm. avg. (of 7) = 0.543237
  fft 23: mflops = 8.81156 (norm. = 0.726891), norm. avg. (of 7) = 0.581826
  fft 24: mflops = 9.36229 (norm. = 0.772321), norm. avg. (of 7) = 0.614326
  fft 25: mflops = 8.0044 (norm. = 0.660305), norm. avg. (of 7) = 0.434325
  fft 26: mflops = 4.096 (norm. = 0.337891), norm. avg. (of 8) = 0.20784
  fft 27: mflops = 7.43671 (norm. = 0.613475), norm. avg. (of 8) = 0.367963
  fft 28: mflops = 8.192 (norm. = 0.675781), norm. avg. (of 8) = 0.40748
  fft 29: mflops = 7.38434 (norm. = 0.609155), norm. avg. (of 8) = 0.37139
  fft 30: mflops = 10.5917 (norm. = 0.873737), norm. avg. (of 8) = 0.792397
  fft 31: mflops = 10.5917 (norm. = 0.873737), norm. avg. (of 8) = 0.76724
  fft 32: mflops = 9.70904 (norm. = 0.800926), norm. avg. (of 5) = 0.791568
  fft 33: mflops = 6.39376 (norm. = 0.527439), norm. avg. (of 7) = 0.302323
  fft 34: mflops = 2.83399 (norm. = 0.233784), norm. avg. (of 7) = 0.220183
  fft 35: mflops = 7.76723 (norm. = 0.640741), norm. avg. (of 8) = 0.404605
  fft 36: mflops = 8.06597 (norm. = 0.665385), norm. avg. (of 8) = 0.432917
  fft 37: mflops = 10.3819 (norm. = 0.856436), norm. avg. (of 8) = 0.710263
  fft 38: mflops = 6.06113 (norm. = 0.5), norm. avg. (of 8) = 0.436782
  fft 39: mflops = 8.73813 (norm. = 0.720833), norm. avg. (of 8) = 0.510641
  fft 40: mflops = 7.28178 (norm. = 0.600694), norm. avg. (of 8) = 0.434961
  fft 41: mflops = 2.64792 (norm. = 0.218434), norm. avg. (of 8) = 0.188677

Benchmarking for array size = 512 (power of 2):
0. Arndt DIF: elapsed time t=1.45 s, 512 iters, t-(init.)=1.43 s
    t(norm)=0.606113, mflops=8.24929 (err=5.4e-16)
1. Arndt DIT: elapsed time t=1.37 s, 512 iters, t-(init.)=1.36 s
    t(norm)=0.576443, mflops=8.67388 (err=5.5e-16)
2. Arndt Split-Radix: elapsed time t=1.63 s, 512 iters, t-(init.)=1.62 s
    t(norm)=0.686646, mflops=7.28178 (err=6.0e-16)
3. Arndt 4-step: elapsed time t=1.4 s, 256 iters, t-(init.)=1.4 s
    t(norm)=1.18679, mflops=4.21303 (err=5.5e-16)
4. Bailey: elapsed time t=1.83 s, 512 iters, t-(init.)=1.82 s
    t(norm)=0.771417, mflops=6.48158 (err=5.7e-16)
5. Beauregard: elapsed time t=1.17 s, 128 iters, t-(init.)=1.17 s
    t(norm)=1.98364, mflops=2.52062 (err=6.6e-16)
6. Bergland: elapsed time t=1.26 s, 512 iters, t-(init.)=1.24 s
    t(norm)=0.525581, mflops=9.51329 (err=5.5e-16)
7. Brenner: elapsed time t=1.49 s, 512 iters, t-(init.)=1.48 s
    t(norm)=0.627306, mflops=7.97059 (err=5.7e-16)
8. Burrus: elapsed time t=1.01 s, 256 iters, t-(init.)=1 s
    t(norm)=0.847711, mflops=5.89824 (err=5.8e-16)
9. CWP (min N) (N=520): elapsed time t=1.16 s, 512 iters, t-(init.)=1.15 s
    t(norm)=0.487434, mflops=10.2578
10. CWP (best N) (N=560): elapsed time t=1.14 s, 512 iters, t-(init.)=1.13 s
    t(norm)=0.478956, mflops=10.4394
11. Edelblute: elapsed time t=1.97 s, 512 iters, t-(init.)=1.96 s
    t(norm)=0.830756, mflops=6.01861 (err=6.1e-16)
12. FFTPACK: elapsed time t=1.33 s, 512 iters, t-(init.)=1.32 s
    t(norm)=0.559489, mflops=8.93673 (err=5.5e-16)
13. FFTPACK (f2c): elapsed time t=1.36 s, 512 iters, t-(init.)=1.35 s
    t(norm)=0.572205, mflops=8.73813 (err=5.4e-16)

FFTW_MEASURE plan: (cost = 1.953125e-03)
FFTW_TWIDDLE 32
FFTW_NOTW 16

14. FFTW: elapsed time t=1 s, 512 iters, t-(init.)=0.98 s
    t(norm)=0.415378, mflops=12.0372 (err=5.3e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.01 s, 512 iters, t-(init.)=1 s
    t(norm)=0.423855, mflops=11.7965 (err=5.4e-16)
16. Frigo-old: elapsed time t=1.17 s, 512 iters, t-(init.)=1.16 s
    t(norm)=0.491672, mflops=10.1694 (err=5.4e-16)
17. Green: elapsed time t=1.41 s, 512 iters, t-(init.)=1.4 s
    t(norm)=0.593397, mflops=8.42606 (err=5.9e-16)
18. GSL: elapsed time t=1.58 s, 512 iters, t-(init.)=1.57 s
    t(norm)=0.665453, mflops=7.51368 (err=6.1e-16)
19. GSL DIT: elapsed time t=1.47 s, 512 iters, t-(init.)=1.46 s
    t(norm)=0.618829, mflops=8.07978 (err=5.9e-16)
20. GSL DIF: elapsed time t=1.86 s, 512 iters, t-(init.)=1.85 s
    t(norm)=0.784132, mflops=6.37648 (err=5.6e-16)
21. Krukar: elapsed time t=1.29 s, 512 iters, t-(init.)=1.28 s
    t(norm)=0.542535, mflops=9.216 (err=5.6e-16)
22. Mayer (Buneman): elapsed time t=1.44 s, 512 iters, t-(init.)=1.43 s
    t(norm)=0.606113, mflops=8.24929 (err=5.7e-16)
23. Mayer (simple): elapsed time t=1.29 s, 512 iters, t-(init.)=1.27 s
    t(norm)=0.538296, mflops=9.28857
24. Mayer (lookup): elapsed time t=1.23 s, 512 iters, t-(init.)=1.21 s
    t(norm)=0.512865, mflops=9.74916 (err=5.1e-16)
25. Monro: elapsed time t=1.46 s, 512 iters, t-(init.)=1.45 s
    t(norm)=0.61459, mflops=8.1355 (err=7.5e-08)
26. NAPACK (f2c): elapsed time t=1.44 s, 256 iters, t-(init.)=1.43 s
    t(norm)=1.21223, mflops=4.12464 (err=6.0e-15)
27. Nielsen: elapsed time t=1.58 s, 512 iters, t-(init.)=1.56 s
    t(norm)=0.661214, mflops=7.56185 (err=3.0e-15)
28. NR (C): elapsed time t=1.41 s, 512 iters, t-(init.)=1.4 s
    t(norm)=0.593397, mflops=8.42606 (err=5.9e-16)
29. NR (F): elapsed time t=1.57 s, 512 iters, t-(init.)=1.56 s
    t(norm)=0.661214, mflops=7.56185 (err=5.8e-16)
30. Ooura (C): elapsed time t=1.12 s, 512 iters, t-(init.)=1.11 s
    t(norm)=0.470479, mflops=10.6275 (err=5.3e-16)
31. Ooura (F): elapsed time t=1.14 s, 512 iters, t-(init.)=1.13 s
    t(norm)=0.478956, mflops=10.4394 (err=5.3e-16)
32. QFT: elapsed time t=1.29 s, 512 iters, t-(init.)=1.28 s
    t(norm)=0.542535, mflops=9.216 (err=7.4e-16)
33. Ransom: elapsed time t=1.84 s, 512 iters, t-(init.)=1.83 s
    t(norm)=0.775655, mflops=6.44616 (err=1.6e-15)
34. SCIPORT: elapsed time t=1.09 s, 128 iters, t-(init.)=1.09 s
    t(norm)=1.84801, mflops=2.70561 (err=1.3e-07)
35. Singleton: elapsed time t=1.53 s, 512 iters, t-(init.)=1.52 s
    t(norm)=0.64426, mflops=7.76084 (err=7.9e-16)
36. Singleton (f2c): elapsed time t=1.46 s, 512 iters, t-(init.)=1.45 s
    t(norm)=0.61459, mflops=8.1355 (err=8.0e-16)
37. Sorensen: elapsed time t=1.14 s, 512 iters, t-(init.)=1.13 s
    t(norm)=0.478956, mflops=10.4394 (err=5.7e-16)
38. Sorensen DIT: elapsed time t=1.83 s, 512 iters, t-(init.)=1.82 s
    t(norm)=0.771417, mflops=6.48158 (err=5.5e-16)
39. Temperton: elapsed time t=1.41 s, 512 iters, t-(init.)=1.39 s
    t(norm)=0.589159, mflops=8.48668 (err=9.2e-08)
40. Temperton (f2c): elapsed time t=1.75 s, 512 iters, t-(init.)=1.74 s
    t(norm)=0.737508, mflops=6.77959 (err=6.1e-16)
41. Valkenburg: elapsed time t=1.12 s, 128 iters, t-(init.)=1.12 s
    t(norm)=1.89887, mflops=2.63314 (err=6.6e-16)

Top mflops for N=512 = 12.0372
Normalized results and averages for N=512:
  fft 0: mflops = 8.24929 (norm. = 0.685315), norm. avg. (of 9) = 0.667679
  fft 1: mflops = 8.67388 (norm. = 0.720588), norm. avg. (of 9) = 0.67975
  fft 2: mflops = 7.28178 (norm. = 0.604938), norm. avg. (of 9) = 0.484394
  fft 3: mflops = 4.21303 (norm. = 0.35), norm. avg. (of 9) = 0.231531
  fft 4: mflops = 6.48158 (norm. = 0.538462), norm. avg. (of 9) = 0.38963
  fft 5: mflops = 2.52062 (norm. = 0.209402), norm. avg. (of 9) = 0.179707
  fft 6: mflops = 9.51329 (norm. = 0.790323), norm. avg. (of 9) = 0.56821
  fft 7: mflops = 7.97059 (norm. = 0.662162), norm. avg. (of 9) = 0.472156
  fft 8: mflops = 5.89824 (norm. = 0.49), norm. avg. (of 9) = 0.426705
  fft 9: mflops = 10.2578 (norm. = 0.852174), norm. avg. (of 9) = 0.640273
  fft 10: mflops = 10.4394 (norm. = 0.867257), norm. avg. (of 9) = 0.512542
  fft 11: mflops = 6.01861 (norm. = 0.5), norm. avg. (of 8) = 0.399588
  fft 12: mflops = 8.93673 (norm. = 0.742424), norm. avg. (of 9) = 0.666874
  fft 13: mflops = 8.73813 (norm. = 0.725926), norm. avg. (of 9) = 0.63095
  fft 14: mflops = 12.0372 (norm. = 1), norm. avg. (of 9) = 0.977128
  fft 15: mflops = 11.7965 (norm. = 0.98), norm. avg. (of 9) = 0.960138
  fft 16: mflops = 10.1694 (norm. = 0.844828), norm. avg. (of 9) = 0.927442
  fft 17: mflops = 8.42606 (norm. = 0.7), norm. avg. (of 7) = 0.621531
  fft 18: mflops = 7.51368 (norm. = 0.624204), norm. avg. (of 9) = 0.499101
  fft 19: mflops = 8.07978 (norm. = 0.671233), norm. avg. (of 9) = 0.433072
  fft 20: mflops = 6.37648 (norm. = 0.52973), norm. avg. (of 9) = 0.345501
  fft 21: mflops = 9.216 (norm. = 0.765625), norm. avg. (of 9) = 0.727656
  fft 22: mflops = 8.24929 (norm. = 0.685315), norm. avg. (of 8) = 0.560997
  fft 23: mflops = 9.28857 (norm. = 0.771654), norm. avg. (of 8) = 0.605554
  fft 24: mflops = 9.74916 (norm. = 0.809917), norm. avg. (of 8) = 0.638775
  fft 25: mflops = 8.1355 (norm. = 0.675862), norm. avg. (of 8) = 0.464517
  fft 26: mflops = 4.12464 (norm. = 0.342657), norm. avg. (of 9) = 0.22282
  fft 27: mflops = 7.56185 (norm. = 0.628205), norm. avg. (of 9) = 0.396879
  fft 28: mflops = 8.42606 (norm. = 0.7), norm. avg. (of 9) = 0.439983
  fft 29: mflops = 7.56185 (norm. = 0.628205), norm. avg. (of 9) = 0.399925
  fft 30: mflops = 10.6275 (norm. = 0.882883), norm. avg. (of 9) = 0.802451
  fft 31: mflops = 10.4394 (norm. = 0.867257), norm. avg. (of 9) = 0.778353
  fft 32: mflops = 9.216 (norm. = 0.765625), norm. avg. (of 6) = 0.787244
  fft 33: mflops = 6.44616 (norm. = 0.535519), norm. avg. (of 8) = 0.331473
  fft 34: mflops = 2.70561 (norm. = 0.224771), norm. avg. (of 8) = 0.220756
  fft 35: mflops = 7.76084 (norm. = 0.644737), norm. avg. (of 9) = 0.431286
  fft 36: mflops = 8.1355 (norm. = 0.675862), norm. avg. (of 9) = 0.459911
  fft 37: mflops = 10.4394 (norm. = 0.867257), norm. avg. (of 9) = 0.727706
  fft 38: mflops = 6.48158 (norm. = 0.538462), norm. avg. (of 9) = 0.44808
  fft 39: mflops = 8.48668 (norm. = 0.705036), norm. avg. (of 9) = 0.53224
  fft 40: mflops = 6.77959 (norm. = 0.563218), norm. avg. (of 9) = 0.449212
  fft 41: mflops = 2.63314 (norm. = 0.21875), norm. avg. (of 9) = 0.192018

Benchmarking for array size = 1024 (power of 2):
0. Arndt DIF: elapsed time t=1.65 s, 256 iters, t-(init.)=1.64 s
    t(norm)=0.62561, mflops=7.9922 (err=5.2e-16)
1. Arndt DIT: elapsed time t=1.53 s, 256 iters, t-(init.)=1.51 s
    t(norm)=0.576019, mflops=8.68026 (err=4.9e-16)
2. Arndt Split-Radix: elapsed time t=1.81 s, 256 iters, t-(init.)=1.8 s
    t(norm)=0.686646, mflops=7.28178 (err=5.1e-16)
3. Arndt 4-step: elapsed time t=1.46 s, 128 iters, t-(init.)=1.45 s
    t(norm)=1.10626, mflops=4.51972 (err=4.4e-16)
4. Bailey: elapsed time t=1.21 s, 128 iters, t-(init.)=1.21 s
    t(norm)=0.923157, mflops=5.4162 (err=5.6e-16)
5. Beauregard: elapsed time t=1.33 s, 64 iters, t-(init.)=1.33 s
    t(norm)=2.02942, mflops=2.46376 (err=5.1e-16)
6. Bergland: elapsed time t=1.47 s, 256 iters, t-(init.)=1.46 s
    t(norm)=0.556946, mflops=8.97753 (err=5.0e-16)
7. Brenner: elapsed time t=1.68 s, 256 iters, t-(init.)=1.67 s
    t(norm)=0.637054, mflops=7.84862 (err=5.1e-16)
8. Burrus: elapsed time t=1.12 s, 128 iters, t-(init.)=1.12 s
    t(norm)=0.854492, mflops=5.85143 (err=5.2e-16)
9. CWP (min N) (N=1040): elapsed time t=1.3 s, 256 iters, t-(init.)=1.29 s
    t(norm)=0.492096, mflops=10.1606
10. CWP (best N) (N=1040): elapsed time t=1.27 s, 256 iters, t-(init.)=1.26 s
    t(norm)=0.480652, mflops=10.4025
11. Edelblute: elapsed time t=1.09 s, 128 iters, t-(init.)=1.09 s
    t(norm)=0.831604, mflops=6.01248 (err=5.2e-16)
12. FFTPACK: elapsed time t=1.55 s, 256 iters, t-(init.)=1.53 s
    t(norm)=0.583649, mflops=8.5668 (err=4.9e-16)
13. FFTPACK (f2c): elapsed time t=1.6 s, 256 iters, t-(init.)=1.59 s
    t(norm)=0.606537, mflops=8.24352 (err=4.7e-16)

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

14. FFTW: elapsed time t=1.16 s, 256 iters, t-(init.)=1.15 s
    t(norm)=0.43869, mflops=11.3976 (err=4.6e-16)

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, 256 iters, t-(init.)=1.22 s
    t(norm)=0.465393, mflops=10.7436 (err=4.8e-16)
16. Frigo-old: elapsed time t=1.4 s, 256 iters, t-(init.)=1.39 s
    t(norm)=0.530243, mflops=9.42964 (err=4.7e-16)
17. Green: elapsed time t=1.68 s, 256 iters, t-(init.)=1.67 s
    t(norm)=0.637054, mflops=7.84862 (err=5.9e-16)
18. GSL: elapsed time t=1.9 s, 256 iters, t-(init.)=1.89 s
    t(norm)=0.720978, mflops=6.93503 (err=4.9e-16)
19. GSL DIT: elapsed time t=1.65 s, 256 iters, t-(init.)=1.64 s
    t(norm)=0.62561, mflops=7.9922 (err=5.1e-16)
20. GSL DIF: elapsed time t=1.03 s, 128 iters, t-(init.)=1.02 s
    t(norm)=0.778198, mflops=6.4251 (err=4.9e-16)
21. Krukar: elapsed time t=1.57 s, 256 iters, t-(init.)=1.55 s
    t(norm)=0.591278, mflops=8.45626 (err=5.4e-16)
22. Mayer (Buneman): elapsed time t=1.61 s, 256 iters, t-(init.)=1.59 s
    t(norm)=0.606537, mflops=8.24352 (err=4.6e-16)
23. Mayer (simple): elapsed time t=1.46 s, 256 iters, t-(init.)=1.45 s
    t(norm)=0.553131, mflops=9.03945
24. Mayer (lookup): elapsed time t=1.4 s, 256 iters, t-(init.)=1.39 s
    t(norm)=0.530243, mflops=9.42964 (err=4.6e-16)
25. Monro: elapsed time t=1.61 s, 256 iters, t-(init.)=1.6 s
    t(norm)=0.610352, mflops=8.192 (err=8.4e-08)
26. NAPACK (f2c): elapsed time t=1.66 s, 128 iters, t-(init.)=1.65 s
    t(norm)=1.25885, mflops=3.97188 (err=1.5e-14)
27. Nielsen: elapsed time t=1.86 s, 256 iters, t-(init.)=1.85 s
    t(norm)=0.705719, mflops=7.08497 (err=6.2e-15)
28. NR (C): elapsed time t=1.55 s, 256 iters, t-(init.)=1.54 s
    t(norm)=0.587463, mflops=8.51117 (err=5.1e-16)
29. NR (F): elapsed time t=1.73 s, 256 iters, t-(init.)=1.72 s
    t(norm)=0.656128, mflops=7.62047 (err=5.0e-16)
30. Ooura (C): elapsed time t=1.27 s, 256 iters, t-(init.)=1.26 s
    t(norm)=0.480652, mflops=10.4025 (err=4.6e-16)
31. Ooura (F): elapsed time t=1.27 s, 256 iters, t-(init.)=1.26 s
    t(norm)=0.480652, mflops=10.4025 (err=4.6e-16)
32. QFT: elapsed time t=1.51 s, 256 iters, t-(init.)=1.5 s
    t(norm)=0.572205, mflops=8.73813 (err=9.5e-16)
33. Ransom: elapsed time t=1.9 s, 256 iters, t-(init.)=1.89 s
    t(norm)=0.720978, mflops=6.93503 (err=1.8e-15)
34. SCIPORT: elapsed time t=1.31 s, 64 iters, t-(init.)=1.31 s
    t(norm)=1.9989, mflops=2.50137 (err=1.4e-07)
35. Singleton: elapsed time t=1.69 s, 256 iters, t-(init.)=1.68 s
    t(norm)=0.640869, mflops=7.8019 (err=6.0e-16)
36. Singleton (f2c): elapsed time t=1.62 s, 256 iters, t-(init.)=1.6 s
    t(norm)=0.610352, mflops=8.192 (err=6.0e-16)
37. Sorensen: elapsed time t=1.36 s, 256 iters, t-(init.)=1.35 s
    t(norm)=0.514984, mflops=9.70904 (err=4.9e-16)
38. Sorensen DIT: elapsed time t=1.97 s, 256 iters, t-(init.)=1.95 s
    t(norm)=0.743866, mflops=6.72164 (err=4.9e-16)
39. Temperton: elapsed time t=1.63 s, 256 iters, t-(init.)=1.62 s
    t(norm)=0.617981, mflops=8.09086 (err=9.8e-08)
40. Temperton (f2c): elapsed time t=1.92 s, 256 iters, t-(init.)=1.91 s
    t(norm)=0.728607, mflops=6.86241 (err=4.8e-16)
41. Valkenburg: elapsed time t=1.29 s, 64 iters, t-(init.)=1.28 s
    t(norm)=1.95313, mflops=2.56 (err=8.2e-16)

Top mflops for N=1024 = 11.3976
Normalized results and averages for N=1024:
  fft 0: mflops = 7.9922 (norm. = 0.70122), norm. avg. (of 10) = 0.671033
  fft 1: mflops = 8.68026 (norm. = 0.761589), norm. avg. (of 10) = 0.687934
  fft 2: mflops = 7.28178 (norm. = 0.638889), norm. avg. (of 10) = 0.499843
  fft 3: mflops = 4.51972 (norm. = 0.396552), norm. avg. (of 10) = 0.248033
  fft 4: mflops = 5.4162 (norm. = 0.475207), norm. avg. (of 10) = 0.398188
  fft 5: mflops = 2.46376 (norm. = 0.216165), norm. avg. (of 10) = 0.183353
  fft 6: mflops = 8.97753 (norm. = 0.787671), norm. avg. (of 10) = 0.590156
  fft 7: mflops = 7.84862 (norm. = 0.688623), norm. avg. (of 10) = 0.493803
  fft 8: mflops = 5.85143 (norm. = 0.513393), norm. avg. (of 10) = 0.435374
  fft 9: mflops = 10.1606 (norm. = 0.891473), norm. avg. (of 10) = 0.665393
  fft 10: mflops = 10.4025 (norm. = 0.912698), norm. avg. (of 10) = 0.552557
  fft 11: mflops = 6.01248 (norm. = 0.527523), norm. avg. (of 9) = 0.413803
  fft 12: mflops = 8.5668 (norm. = 0.751634), norm. avg. (of 10) = 0.67535
  fft 13: mflops = 8.24352 (norm. = 0.72327), norm. avg. (of 10) = 0.640182
  fft 14: mflops = 11.3976 (norm. = 1), norm. avg. (of 10) = 0.979416
  fft 15: mflops = 10.7436 (norm. = 0.942623), norm. avg. (of 10) = 0.958386
  fft 16: mflops = 9.42964 (norm. = 0.827338), norm. avg. (of 10) = 0.917432
  fft 17: mflops = 7.84862 (norm. = 0.688623), norm. avg. (of 8) = 0.629917
  fft 18: mflops = 6.93503 (norm. = 0.608466), norm. avg. (of 10) = 0.510037
  fft 19: mflops = 7.9922 (norm. = 0.70122), norm. avg. (of 10) = 0.459887
  fft 20: mflops = 6.4251 (norm. = 0.563725), norm. avg. (of 10) = 0.367323
  fft 21: mflops = 8.45626 (norm. = 0.741935), norm. avg. (of 10) = 0.729084
  fft 22: mflops = 8.24352 (norm. = 0.72327), norm. avg. (of 9) = 0.579027
  fft 23: mflops = 9.03945 (norm. = 0.793103), norm. avg. (of 9) = 0.626393
  fft 24: mflops = 9.42964 (norm. = 0.827338), norm. avg. (of 9) = 0.659726
  fft 25: mflops = 8.192 (norm. = 0.71875), norm. avg. (of 9) = 0.492765
  fft 26: mflops = 3.97188 (norm. = 0.348485), norm. avg. (of 10) = 0.235386
  fft 27: mflops = 7.08497 (norm. = 0.621622), norm. avg. (of 10) = 0.419353
  fft 28: mflops = 8.51117 (norm. = 0.746753), norm. avg. (of 10) = 0.47066
  fft 29: mflops = 7.62047 (norm. = 0.668605), norm. avg. (of 10) = 0.426793
  fft 30: mflops = 10.4025 (norm. = 0.912698), norm. avg. (of 10) = 0.813476
  fft 31: mflops = 10.4025 (norm. = 0.912698), norm. avg. (of 10) = 0.791788
  fft 32: mflops = 8.73813 (norm. = 0.766667), norm. avg. (of 7) = 0.784305
  fft 33: mflops = 6.93503 (norm. = 0.608466), norm. avg. (of 9) = 0.36225
  fft 34: mflops = 2.50137 (norm. = 0.219466), norm. avg. (of 9) = 0.220613
  fft 35: mflops = 7.8019 (norm. = 0.684524), norm. avg. (of 10) = 0.45661
  fft 36: mflops = 8.192 (norm. = 0.71875), norm. avg. (of 10) = 0.485794
  fft 37: mflops = 9.70904 (norm. = 0.851852), norm. avg. (of 10) = 0.740121
  fft 38: mflops = 6.72164 (norm. = 0.589744), norm. avg. (of 10) = 0.462246
  fft 39: mflops = 8.09086 (norm. = 0.709877), norm. avg. (of 10) = 0.550004
  fft 40: mflops = 6.86241 (norm. = 0.602094), norm. avg. (of 10) = 0.4645
  fft 41: mflops = 2.56 (norm. = 0.224609), norm. avg. (of 10) = 0.195277

Benchmarking for array size = 2048 (power of 2):
0. Arndt DIF: elapsed time t=2 s, 128 iters, t-(init.)=1.97 s
    t(norm)=0.683178, mflops=7.31874 (err=4.6e-16)
1. Arndt DIT: elapsed time t=1.84 s, 128 iters, t-(init.)=1.81 s
    t(norm)=0.627691, mflops=7.9657 (err=4.6e-16)
2. Arndt Split-Radix: elapsed time t=1.14 s, 64 iters, t-(init.)=1.13 s
    t(norm)=0.783747, mflops=6.37961 (err=4.8e-16)
3. Arndt 4-step: elapsed time t=1.67 s, 64 iters, t-(init.)=1.65 s
    t(norm)=1.14441, mflops=4.36907 (err=4.7e-16)
4. Bailey: elapsed time t=1.37 s, 64 iters, t-(init.)=1.35 s
    t(norm)=0.936335, mflops=5.33997 (err=5.0e-16)
5. Beauregard: elapsed time t=1.52 s, 32 iters, t-(init.)=1.52 s
    t(norm)=2.10849, mflops=2.37137 (err=4.7e-16)
6. Bergland: elapsed time t=1.72 s, 128 iters, t-(init.)=1.69 s
    t(norm)=0.586076, mflops=8.53131 (err=4.9e-16)
7. Brenner: elapsed time t=1.97 s, 128 iters, t-(init.)=1.95 s
    t(norm)=0.676242, mflops=7.39381 (err=5.0e-16)
8. Burrus: elapsed time t=1.33 s, 64 iters, t-(init.)=1.31 s
    t(norm)=0.908592, mflops=5.50302 (err=4.6e-16)
9. CWP (min N) (N=2145): elapsed time t=1.65 s, 128 iters, t-(init.)=1.62 s
    t(norm)=0.561801, mflops=8.89995
10. CWP (best N) (N=2184): elapsed time t=1.55 s, 128 iters, t-(init.)=1.52 s
    t(norm)=0.527122, mflops=9.48547
11. Edelblute: elapsed time t=1.3 s, 64 iters, t-(init.)=1.29 s
    t(norm)=0.89472, mflops=5.58834 (err=4.7e-16)
12. FFTPACK: elapsed time t=1.73 s, 128 iters, t-(init.)=1.7 s
    t(norm)=0.589544, mflops=8.48113 (err=4.5e-16)
13. FFTPACK (f2c): elapsed time t=1.76 s, 128 iters, t-(init.)=1.73 s
    t(norm)=0.599948, mflops=8.33406 (err=4.6e-16)

FFTW_MEASURE plan: (cost = 1.000000e-02)
FFTW_TWIDDLE 64
FFTW_NOTW 32

14. FFTW: elapsed time t=1.37 s, 128 iters, t-(init.)=1.35 s
    t(norm)=0.468167, mflops=10.6799 (err=4.5e-16)

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

15. FFTW_ESTIMATE: elapsed time t=1.41 s, 128 iters, t-(init.)=1.38 s
    t(norm)=0.478571, mflops=10.4478 (err=4.4e-16)
16. Frigo-old: elapsed time t=1.57 s, 128 iters, t-(init.)=1.54 s
    t(norm)=0.534058, mflops=9.36229 (err=4.6e-16)
17. Green: elapsed time t=1 s, 64 iters, t-(init.)=0.98 s
    t(norm)=0.67971, mflops=7.35608 (err=5.8e-16)
18. GSL: elapsed time t=1.03 s, 64 iters, t-(init.)=1.02 s
    t(norm)=0.707453, mflops=7.06761 (err=4.7e-16)
19. GSL DIT: elapsed time t=1.07 s, 64 iters, t-(init.)=1.06 s
    t(norm)=0.735196, mflops=6.80091 (err=4.5e-16)
20. GSL DIF: elapsed time t=1.37 s, 64 iters, t-(init.)=1.36 s
    t(norm)=0.943271, mflops=5.30071 (err=4.4e-16)
21. Krukar: elapsed time t=1.77 s, 128 iters, t-(init.)=1.75 s
    t(norm)=0.606884, mflops=8.23881 (err=5.0e-16)
22. Mayer (Buneman): elapsed time t=1.74 s, 128 iters, t-(init.)=1.71 s
    t(norm)=0.593012, mflops=8.43153 (err=4.5e-16)
23. Mayer (simple): elapsed time t=1.57 s, 128 iters, t-(init.)=1.54 s
    t(norm)=0.534058, mflops=9.36229
24. Mayer (lookup): elapsed time t=1.56 s, 128 iters, t-(init.)=1.53 s
    t(norm)=0.53059, mflops=9.42348 (err=4.5e-16)
25. Monro: elapsed time t=1.02 s, 64 iters, t-(init.)=1.01 s
    t(norm)=0.700517, mflops=7.13758 (err=1.0e-07)
26. NAPACK (f2c): elapsed time t=1.82 s, 64 iters, t-(init.)=1.81 s
    t(norm)=1.25538, mflops=3.98285 (err=1.5e-14)
27. Nielsen: elapsed time t=1.12 s, 64 iters, t-(init.)=1.11 s
    t(norm)=0.769875, mflops=6.49456 (err=1.1e-14)
28. NR (C): elapsed time t=1.94 s, 128 iters, t-(init.)=1.91 s
    t(norm)=0.66237, mflops=7.54865 (err=4.5e-16)
29. NR (F): elapsed time t=1.04 s, 64 iters, t-(init.)=1.02 s
    t(norm)=0.707453, mflops=7.06761 (err=4.5e-16)
30. Ooura (C): elapsed time t=1.48 s, 128 iters, t-(init.)=1.45 s
    t(norm)=0.502846, mflops=9.94339 (err=4.6e-16)
31. Ooura (F): elapsed time t=1.51 s, 128 iters, t-(init.)=1.48 s
    t(norm)=0.51325, mflops=9.74184 (err=4.6e-16)
32. QFT: elapsed time t=1.66 s, 128 iters, t-(init.)=1.63 s
    t(norm)=0.565269, mflops=8.84535 (err=1.2e-15)
33. Ransom: elapsed time t=1.13 s, 64 iters, t-(init.)=1.12 s
    t(norm)=0.776811, mflops=6.43657 (err=2.1e-15)
34. SCIPORT: elapsed time t=1.42 s, 32 iters, t-(init.)=1.42 s
    t(norm)=1.96977, mflops=2.53837 (err=1.6e-07)
35. Singleton: elapsed time t=1.1 s, 64 iters, t-(init.)=1.09 s
    t(norm)=0.756004, mflops=6.61372 (err=5.9e-16)
36. Singleton (f2c): elapsed time t=1.04 s, 64 iters, t-(init.)=1.03 s
    t(norm)=0.714389, mflops=6.99899 (err=5.9e-16)
37. Sorensen: elapsed time t=1.71 s, 128 iters, t-(init.)=1.69 s
    t(norm)=0.586076, mflops=8.53131 (err=4.5e-16)
38. Sorensen DIT: elapsed time t=1.16 s, 64 iters, t-(init.)=1.15 s
    t(norm)=0.797619, mflops=6.26866 (err=4.4e-16)
39. Temperton: elapsed time t=1.92 s, 128 iters, t-(init.)=1.89 s
    t(norm)=0.655434, mflops=7.62853 (err=1.0e-07)
40. Temperton (f2c): elapsed time t=1.11 s, 64 iters, t-(init.)=1.09 s
    t(norm)=0.756004, mflops=6.61372 (err=4.7e-16)
41. Valkenburg: elapsed time t=1.42 s, 32 iters, t-(init.)=1.41 s
    t(norm)=1.9559, mflops=2.55637 (err=7.4e-16)

Top mflops for N=2048 = 10.6799
Normalized results and averages for N=2048:
  fft 0: mflops = 7.31874 (norm. = 0.685279), norm. avg. (of 11) = 0.672328
  fft 1: mflops = 7.9657 (norm. = 0.745856), norm. avg. (of 11) = 0.693199
  fft 2: mflops = 6.37961 (norm. = 0.597345), norm. avg. (of 11) = 0.508707
  fft 3: mflops = 4.36907 (norm. = 0.409091), norm. avg. (of 11) = 0.262675
  fft 4: mflops = 5.33997 (norm. = 0.5), norm. avg. (of 11) = 0.407443
  fft 5: mflops = 2.37137 (norm. = 0.222039), norm. avg. (of 11) = 0.18687
  fft 6: mflops = 8.53131 (norm. = 0.798817), norm. avg. (of 11) = 0.609125
  fft 7: mflops = 7.39381 (norm. = 0.692308), norm. avg. (of 11) = 0.511848
  fft 8: mflops = 5.50302 (norm. = 0.515267), norm. avg. (of 11) = 0.442637
  fft 9: mflops = 8.89995 (norm. = 0.833333), norm. avg. (of 11) = 0.680661
  fft 10: mflops = 9.48547 (norm. = 0.888158), norm. avg. (of 11) = 0.583067
  fft 11: mflops = 5.58834 (norm. = 0.523256), norm. avg. (of 10) = 0.424748
  fft 12: mflops = 8.48113 (norm. = 0.794118), norm. avg. (of 11) = 0.686147
  fft 13: mflops = 8.33406 (norm. = 0.780347), norm. avg. (of 11) = 0.652924
  fft 14: mflops = 10.6799 (norm. = 1), norm. avg. (of 11) = 0.981287
  fft 15: mflops = 10.4478 (norm. = 0.978261), norm. avg. (of 11) = 0.960193
  fft 16: mflops = 9.36229 (norm. = 0.876623), norm. avg. (of 11) = 0.913722
  fft 17: mflops = 7.35608 (norm. = 0.688776), norm. avg. (of 9) = 0.636457
  fft 18: mflops = 7.06761 (norm. = 0.661765), norm. avg. (of 11) = 0.523831
  fft 19: mflops = 6.80091 (norm. = 0.636792), norm. avg. (of 11) = 0.475969
  fft 20: mflops = 5.30071 (norm. = 0.496324), norm. avg. (of 11) = 0.379051
  fft 21: mflops = 8.23881 (norm. = 0.771429), norm. avg. (of 11) = 0.732933
  fft 22: mflops = 8.43153 (norm. = 0.789474), norm. avg. (of 10) = 0.600072
  fft 23: mflops = 9.36229 (norm. = 0.876623), norm. avg. (of 10) = 0.651416
  fft 24: mflops = 9.42348 (norm. = 0.882353), norm. avg. (of 10) = 0.681989
  fft 25: mflops = 7.13758 (norm. = 0.668317), norm. avg. (of 10) = 0.51032
  fft 26: mflops = 3.98285 (norm. = 0.372928), norm. avg. (of 11) = 0.24789
  fft 27: mflops = 6.49456 (norm. = 0.608108), norm. avg. (of 11) = 0.436513
  fft 28: mflops = 7.54865 (norm. = 0.706806), norm. avg. (of 11) = 0.492128
  fft 29: mflops = 7.06761 (norm. = 0.661765), norm. avg. (of 11) = 0.448154
  fft 30: mflops = 9.94339 (norm. = 0.931034), norm. avg. (of 11) = 0.824163
  fft 31: mflops = 9.74184 (norm. = 0.912162), norm. avg. (of 11) = 0.802731
  fft 32: mflops = 8.84535 (norm. = 0.828221), norm. avg. (of 8) = 0.789794
  fft 33: mflops = 6.43657 (norm. = 0.602679), norm. avg. (of 10) = 0.386292
  fft 34: mflops = 2.53837 (norm. = 0.237676), norm. avg. (of 10) = 0.222319
  fft 35: mflops = 6.61372 (norm. = 0.619266), norm. avg. (of 11) = 0.471397
  fft 36: mflops = 6.99899 (norm. = 0.65534), norm. avg. (of 11) = 0.501208
  fft 37: mflops = 8.53131 (norm. = 0.798817), norm. avg. (of 11) = 0.745457
  fft 38: mflops = 6.26866 (norm. = 0.586957), norm. avg. (of 11) = 0.473583
  fft 39: mflops = 7.62853 (norm. = 0.714286), norm. avg. (of 11) = 0.564938
  fft 40: mflops = 6.61372 (norm. = 0.619266), norm. avg. (of 11) = 0.47857
  fft 41: mflops = 2.55637 (norm. = 0.239362), norm. avg. (of 11) = 0.199285

Benchmarking for array size = 4096 (power of 2):
0. Arndt DIF: elapsed time t=1.23 s, 32 iters, t-(init.)=1.21 s
    t(norm)=0.769297, mflops=6.49944 (err=1.0e-15)
1. Arndt DIT: elapsed time t=1.08 s, 32 iters, t-(init.)=1.06 s
    t(norm)=0.67393, mflops=7.41917 (err=1.1e-15)
2. Arndt Split-Radix: elapsed time t=1.36 s, 32 iters, t-(init.)=1.34 s
    t(norm)=0.851949, mflops=5.8689 (err=1.0e-15)
3. Arndt 4-step: elapsed time t=1.81 s, 32 iters, t-(init.)=1.79 s
    t(norm)=1.13805, mflops=4.39347 (err=1.0e-15)
4. Bailey: elapsed time t=1.57 s, 32 iters, t-(init.)=1.56 s
    t(norm)=0.991821, mflops=5.04123 (err=1.0e-15)
5. Beauregard: elapsed time t=1.7 s, 16 iters, t-(init.)=1.69 s
    t(norm)=2.14895, mflops=2.32672 (err=1.0e-15)
6. Bergland: elapsed time t=1 s, 32 iters, t-(init.)=0.98 s
    t(norm)=0.623067, mflops=8.02482 (err=1.1e-15)
7. Brenner: elapsed time t=1.11 s, 32 iters, t-(init.)=1.09 s
    t(norm)=0.693003, mflops=7.21497 (err=1.1e-15)
8. Burrus: elapsed time t=1.56 s, 32 iters, t-(init.)=1.54 s
    t(norm)=0.979106, mflops=5.1067 (err=1.0e-15)
9. CWP (min N) (N=4290): elapsed time t=1.81 s, 64 iters, t-(init.)=1.77 s
    t(norm)=0.562668, mflops=8.88624
10. CWP (best N) (N=4368): elapsed time t=1.69 s, 64 iters, t-(init.)=1.65 s
    t(norm)=0.524521, mflops=9.53251
11. Edelblute: elapsed time t=1.53 s, 32 iters, t-(init.)=1.51 s
    t(norm)=0.960032, mflops=5.20816 (err=1.1e-15)
12. FFTPACK: elapsed time t=1.94 s, 64 iters, t-(init.)=1.9 s
    t(norm)=0.603994, mflops=8.27823 (err=1.0e-15)
13. FFTPACK (f2c): elapsed time t=1.98 s, 64 iters, t-(init.)=1.94 s
    t(norm)=0.616709, mflops=8.10755 (err=1.0e-15)

FFTW_MEASURE plan: (cost = 2.250000e-02)
FFTW_TWIDDLE 64
FFTW_NOTW 64

14. FFTW: elapsed time t=1.48 s, 64 iters, t-(init.)=1.44 s
    t(norm)=0.457764, mflops=10.9227 (err=1.0e-15)

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

15. FFTW_ESTIMATE: elapsed time t=1.51 s, 64 iters, t-(init.)=1.47 s
    t(norm)=0.4673, mflops=10.6998 (err=1.1e-15)
16. Frigo-old: elapsed time t=1.84 s, 64 iters, t-(init.)=1.8 s
    t(norm)=0.572205, mflops=8.73813 (err=1.1e-15)
17. Green: elapsed time t=1.13 s, 32 iters, t-(init.)=1.11 s
    t(norm)=0.705719, mflops=7.08497 (err=1.1e-15)
18. GSL: elapsed time t=1.17 s, 32 iters, t-(init.)=1.15 s
    t(norm)=0.73115, mflops=6.83854 (err=1.0e-15)
19. GSL DIT: elapsed time t=1.29 s, 32 iters, t-(init.)=1.27 s
    t(norm)=0.807444, mflops=6.19238 (err=1.0e-15)
20. GSL DIF: elapsed time t=1.62 s, 32 iters, t-(init.)=1.6 s
    t(norm)=1.01725, mflops=4.9152 (err=1.0e-15)
21. Krukar: elapsed time t=1.95 s, 64 iters, t-(init.)=1.91 s
    t(norm)=0.607173, mflops=8.23489 (err=1.1e-15)
22. Mayer (Buneman): elapsed time t=1.03 s, 32 iters, t-(init.)=1.01 s
    t(norm)=0.642141, mflops=7.78646 (err=1.1e-15)
23. Mayer (simple): elapsed time t=1.91 s, 64 iters, t-(init.)=1.87 s
    t(norm)=0.594457, mflops=8.41104
24. Mayer (lookup): elapsed time t=1.88 s, 64 iters, t-(init.)=1.84 s
    t(norm)=0.58492, mflops=8.54817 (err=1.1e-15)
25. Monro: elapsed time t=1.2 s, 32 iters, t-(init.)=1.18 s
    t(norm)=0.750224, mflops=6.66468 (err=1.1e-07)
26. NAPACK (f2c): elapsed time t=1.94 s, 32 iters, t-(init.)=1.92 s
    t(norm)=1.2207, mflops=4.096 (err=4.5e-14)
27. Nielsen: elapsed time t=1.27 s, 32 iters, t-(init.)=1.25 s
    t(norm)=0.794729, mflops=6.29146 (err=2.2e-14)
28. NR (C): elapsed time t=1.16 s, 32 iters, t-(init.)=1.14 s
    t(norm)=0.724792, mflops=6.89853 (err=1.0e-15)
29. NR (F): elapsed time t=1.25 s, 32 iters, t-(init.)=1.23 s
    t(norm)=0.782013, mflops=6.39376 (err=1.0e-15)
30. Ooura (C): elapsed time t=1.69 s, 64 iters, t-(init.)=1.65 s
    t(norm)=0.524521, mflops=9.53251 (err=1.1e-15)
31. Ooura (F): elapsed time t=1.7 s, 64 iters, t-(init.)=1.66 s
    t(norm)=0.5277, mflops=9.47508 (err=1.1e-15)
32. QFT: elapsed time t=1.99 s, 64 iters, t-(init.)=1.96 s
    t(norm)=0.623067, mflops=8.02482 (err=1.9e-15)
33. Ransom: elapsed time t=1.15 s, 32 iters, t-(init.)=1.13 s
    t(norm)=0.718435, mflops=6.95958 (err=2.6e-15)
34. SCIPORT: elapsed time t=1.63 s, 16 iters, t-(init.)=1.62 s
    t(norm)=2.05994, mflops=2.42726 (err=1.7e-07)
35. Singleton: elapsed time t=1.18 s, 32 iters, t-(init.)=1.16 s
    t(norm)=0.737508, mflops=6.77959 (err=1.6e-15)
36. Singleton (f2c): elapsed time t=1.15 s, 32 iters, t-(init.)=1.13 s
    t(norm)=0.718435, mflops=6.95958 (err=1.6e-15)
37. Sorensen: elapsed time t=1.04 s, 32 iters, t-(init.)=1.02 s
    t(norm)=0.648499, mflops=7.71012 (err=1.1e-15)
38. Sorensen DIT: elapsed time t=1.36 s, 32 iters, t-(init.)=1.34 s
    t(norm)=0.851949, mflops=5.8689 (err=1.0e-15)
39. Temperton: elapsed time t=1.1 s, 32 iters, t-(init.)=1.08 s
    t(norm)=0.686646, mflops=7.28178 (err=1.2e-07)
40. Temperton (f2c): elapsed time t=1.25 s, 32 iters, t-(init.)=1.23 s
    t(norm)=0.782013, mflops=6.39376 (err=1.0e-15)
41. Valkenburg: elapsed time t=1.57 s, 16 iters, t-(init.)=1.56 s
    t(norm)=1.98364, mflops=2.52062 (err=1.1e-15)

Top mflops for N=4096 = 10.9227
Normalized results and averages for N=4096:
  fft 0: mflops = 6.49944 (norm. = 0.595041), norm. avg. (of 12) = 0.665887
  fft 1: mflops = 7.41917 (norm. = 0.679245), norm. avg. (of 12) = 0.692037
  fft 2: mflops = 5.8689 (norm. = 0.537313), norm. avg. (of 12) = 0.511091
  fft 3: mflops = 4.39347 (norm. = 0.402235), norm. avg. (of 12) = 0.274305
  fft 4: mflops = 5.04123 (norm. = 0.461538), norm. avg. (of 12) = 0.411951
  fft 5: mflops = 2.32672 (norm. = 0.213018), norm. avg. (of 12) = 0.189049
  fft 6: mflops = 8.02482 (norm. = 0.734694), norm. avg. (of 12) = 0.619589
  fft 7: mflops = 7.21497 (norm. = 0.66055), norm. avg. (of 12) = 0.52424
  fft 8: mflops = 5.1067 (norm. = 0.467532), norm. avg. (of 12) = 0.444711
  fft 9: mflops = 8.88624 (norm. = 0.813559), norm. avg. (of 12) = 0.691736
  fft 10: mflops = 9.53251 (norm. = 0.872727), norm. avg. (of 12) = 0.607205
  fft 11: mflops = 5.20816 (norm. = 0.476821), norm. avg. (of 11) = 0.429482
  fft 12: mflops = 8.27823 (norm. = 0.757895), norm. avg. (of 12) = 0.692126
  fft 13: mflops = 8.10755 (norm. = 0.742268), norm. avg. (of 12) = 0.66037
  fft 14: mflops = 10.9227 (norm. = 1), norm. avg. (of 12) = 0.982846
  fft 15: mflops = 10.6998 (norm. = 0.979592), norm. avg. (of 12) = 0.96181
  fft 16: mflops = 8.73813 (norm. = 0.8), norm. avg. (of 12) = 0.904245
  fft 17: mflops = 7.08497 (norm. = 0.648649), norm. avg. (of 10) = 0.637676
  fft 18: mflops = 6.83854 (norm. = 0.626087), norm. avg. (of 12) = 0.532352
  fft 19: mflops = 6.19238 (norm. = 0.566929), norm. avg. (of 12) = 0.483549
  fft 20: mflops = 4.9152 (norm. = 0.45), norm. avg. (of 12) = 0.384963
  fft 21: mflops = 8.23489 (norm. = 0.753927), norm. avg. (of 12) = 0.734683
  fft 22: mflops = 7.78646 (norm. = 0.712871), norm. avg. (of 11) = 0.610326
  fft 23: mflops = 8.41104 (norm. = 0.770053), norm. avg. (of 11) = 0.662201
  fft 24: mflops = 8.54817 (norm. = 0.782609), norm. avg. (of 11) = 0.691136
  fft 25: mflops = 6.66468 (norm. = 0.610169), norm. avg. (of 11) = 0.519398
  fft 26: mflops = 4.096 (norm. = 0.375), norm. avg. (of 12) = 0.258483
  fft 27: mflops = 6.29146 (norm. = 0.576), norm. avg. (of 12) = 0.448137
  fft 28: mflops = 6.89853 (norm. = 0.631579), norm. avg. (of 12) = 0.503748
  fft 29: mflops = 6.39376 (norm. = 0.585366), norm. avg. (of 12) = 0.459588
  fft 30: mflops = 9.53251 (norm. = 0.872727), norm. avg. (of 12) = 0.82821
  fft 31: mflops = 9.47508 (norm. = 0.86747), norm. avg. (of 12) = 0.808126
  fft 32: mflops = 8.02482 (norm. = 0.734694), norm. avg. (of 9) = 0.783672
  fft 33: mflops = 6.95958 (norm. = 0.637168), norm. avg. (of 11) = 0.409099
  fft 34: mflops = 2.42726 (norm. = 0.222222), norm. avg. (of 11) = 0.222311
  fft 35: mflops = 6.77959 (norm. = 0.62069), norm. avg. (of 12) = 0.483838
  fft 36: mflops = 6.95958 (norm. = 0.637168), norm. avg. (of 12) = 0.512538
  fft 37: mflops = 7.71012 (norm. = 0.705882), norm. avg. (of 12) = 0.742159
  fft 38: mflops = 5.8689 (norm. = 0.537313), norm. avg. (of 12) = 0.478894
  fft 39: mflops = 7.28178 (norm. = 0.666667), norm. avg. (of 12) = 0.573416
  fft 40: mflops = 6.39376 (norm. = 0.585366), norm. avg. (of 12) = 0.487469
  fft 41: mflops = 2.52062 (norm. = 0.230769), norm. avg. (of 12) = 0.201909

Benchmarking for array size = 8192 (power of 2):
0. Arndt DIF: elapsed time t=1.23 s, 16 iters, t-(init.)=1.21 s
    t(norm)=0.710121, mflops=7.04106 (err=1.3e-15)
1. Arndt DIT: elapsed time t=1.14 s, 16 iters, t-(init.)=1.12 s
    t(norm)=0.657302, mflops=7.60686 (err=1.3e-15)
2. Arndt Split-Radix: elapsed time t=1.41 s, 16 iters, t-(init.)=1.39 s
    t(norm)=0.815758, mflops=6.12927 (err=1.3e-15)
3. Arndt 4-step: elapsed time t=2.02 s, 16 iters, t-(init.)=2.01 s
    t(norm)=1.17962, mflops=4.23865 (err=1.4e-15)
4. Bailey: elapsed time t=1.7 s, 16 iters, t-(init.)=1.68 s
    t(norm)=0.985953, mflops=5.07124 (err=1.3e-15)
5. Beauregard: elapsed time t=1.84 s, 8 iters, t-(init.)=1.83 s
    t(norm)=2.14797, mflops=2.32778 (err=1.3e-15)
6. Bergland: elapsed time t=1.06 s, 16 iters, t-(init.)=1.04 s
    t(norm)=0.610352, mflops=8.192 (err=1.4e-15)
7. Brenner: elapsed time t=1.19 s, 16 iters, t-(init.)=1.17 s
    t(norm)=0.686646, mflops=7.28178 (err=1.4e-15)
8. Burrus: elapsed time t=1.61 s, 16 iters, t-(init.)=1.6 s
    t(norm)=0.939002, mflops=5.3248 (err=1.3e-15)
9. CWP (min N) (N=8580): elapsed time t=1.9 s, 32 iters, t-(init.)=1.86 s
    t(norm)=0.545795, mflops=9.16095
10. CWP (best N) (N=9240): elapsed time t=1.96 s, 32 iters, t-(init.)=1.92 s
    t(norm)=0.563401, mflops=8.87467
11. Edelblute: elapsed time t=1.57 s, 16 iters, t-(init.)=1.56 s
    t(norm)=0.915527, mflops=5.46133 (err=1.3e-15)
12. FFTPACK: elapsed time t=1.1 s, 16 iters, t-(init.)=1.08 s
    t(norm)=0.633827, mflops=7.88859 (err=1.3e-15)
13. FFTPACK (f2c): elapsed time t=1.13 s, 16 iters, t-(init.)=1.11 s
    t(norm)=0.651433, mflops=7.67539 (err=1.3e-15)

FFTW_MEASURE plan: (cost = 5.250000e-02)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 32
FFTW_NOTW 8

14. FFTW: elapsed time t=1.64 s, 32 iters, t-(init.)=1.61 s
    t(norm)=0.472436, mflops=10.5835 (err=1.3e-15)

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

15. FFTW_ESTIMATE: elapsed time t=1.63 s, 32 iters, t-(init.)=1.6 s
    t(norm)=0.469501, mflops=10.6496 (err=1.4e-15)
16. Frigo-old: elapsed time t=1.02 s, 16 iters, t-(init.)=1 s
    t(norm)=0.586877, mflops=8.51968 (err=1.4e-15)
17. Green: elapsed time t=1.22 s, 16 iters, t-(init.)=1.2 s
    t(norm)=0.704252, mflops=7.09973 (err=1.4e-15)
18. GSL: elapsed time t=1.32 s, 16 iters, t-(init.)=1.31 s
    t(norm)=0.768808, mflops=6.50357 (err=1.3e-15)
19. GSL DIT: elapsed time t=1.35 s, 16 iters, t-(init.)=1.33 s
    t(norm)=0.780546, mflops=6.40577 (err=1.3e-15)
20. GSL DIF: elapsed time t=1.71 s, 16 iters, t-(init.)=1.7 s
    t(norm)=0.99769, mflops=5.01158 (err=1.3e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.09 s, 16 iters, t-(init.)=1.07 s
    t(norm)=0.627958, mflops=7.96232 (err=1.3e-15)
23. Mayer (simple): elapsed time t=1.02 s, 16 iters, t-(init.)=1 s
    t(norm)=0.586877, mflops=8.51968
24. Mayer (lookup): elapsed time t=1.03 s, 16 iters, t-(init.)=1.02 s
    t(norm)=0.598614, mflops=8.35263 (err=1.4e-15)
25. Monro: elapsed time t=1.27 s, 16 iters, t-(init.)=1.26 s
    t(norm)=0.739464, mflops=6.76165 (err=1.2e-07)
26. NAPACK (f2c): elapsed time t=1.06 s, 8 iters, t-(init.)=1.05 s
    t(norm)=1.23244, mflops=4.05699 (err=4.1e-14)
27. Nielsen: elapsed time t=1.38 s, 16 iters, t-(init.)=1.37 s
    t(norm)=0.804021, mflops=6.21874 (err=1.1e-14)
28. NR (C): elapsed time t=1.21 s, 16 iters, t-(init.)=1.19 s
    t(norm)=0.698383, mflops=7.15939 (err=1.3e-15)
29. NR (F): elapsed time t=1.3 s, 16 iters, t-(init.)=1.28 s
    t(norm)=0.751202, mflops=6.656 (err=1.3e-15)
30. Ooura (C): elapsed time t=1.83 s, 32 iters, t-(init.)=1.79 s
    t(norm)=0.525254, mflops=9.5192 (err=1.4e-15)
31. Ooura (F): elapsed time t=1.82 s, 32 iters, t-(init.)=1.79 s
    t(norm)=0.525254, mflops=9.5192 (err=1.4e-15)
32. QFT: elapsed time t=1.1 s, 16 iters, t-(init.)=1.08 s
    t(norm)=0.633827, mflops=7.88859 (err=2.8e-15)
33. Ransom: elapsed time t=1.26 s, 16 iters, t-(init.)=1.24 s
    t(norm)=0.727727, mflops=6.87071 (err=3.2e-15)
34. SCIPORT: elapsed time t=1.79 s, 8 iters, t-(init.)=1.78 s
    t(norm)=2.08928, mflops=2.39317 (err=1.9e-07)
35. Singleton: elapsed time t=1.28 s, 16 iters, t-(init.)=1.27 s
    t(norm)=0.745333, mflops=6.70841 (err=2.0e-15)
36. Singleton (f2c): elapsed time t=1.23 s, 16 iters, t-(init.)=1.21 s
    t(norm)=0.710121, mflops=7.04106 (err=2.0e-15)
37. Sorensen: elapsed time t=1.11 s, 16 iters, t-(init.)=1.09 s
    t(norm)=0.639695, mflops=7.81622 (err=1.4e-15)
38. Sorensen DIT: elapsed time t=1.41 s, 16 iters, t-(init.)=1.4 s
    t(norm)=0.821627, mflops=6.08549 (err=1.3e-15)
39. Temperton: elapsed time t=1.21 s, 16 iters, t-(init.)=1.19 s
    t(norm)=0.698383, mflops=7.15939 (err=1.4e-07)
40. Temperton (f2c): elapsed time t=1.46 s, 16 iters, t-(init.)=1.44 s
    t(norm)=0.845102, mflops=5.91644 (err=1.3e-15)
41. Valkenburg: elapsed time t=1.79 s, 8 iters, t-(init.)=1.78 s
    t(norm)=2.08928, mflops=2.39317 (err=1.4e-15)

Top mflops for N=8192 = 10.6496
Normalized results and averages for N=8192:
  fft 0: mflops = 7.04106 (norm. = 0.661157), norm. avg. (of 13) = 0.665524
  fft 1: mflops = 7.60686 (norm. = 0.714286), norm. avg. (of 13) = 0.693748
  fft 2: mflops = 6.12927 (norm. = 0.57554), norm. avg. (of 13) = 0.516049
  fft 3: mflops = 4.23865 (norm. = 0.39801), norm. avg. (of 13) = 0.283821
  fft 4: mflops = 5.07124 (norm. = 0.47619), norm. avg. (of 13) = 0.416893
  fft 5: mflops = 2.32778 (norm. = 0.218579), norm. avg. (of 13) = 0.191321
  fft 6: mflops = 8.192 (norm. = 0.769231), norm. avg. (of 13) = 0.6311
  fft 7: mflops = 7.28178 (norm. = 0.683761), norm. avg. (of 13) = 0.536511
  fft 8: mflops = 5.3248 (norm. = 0.5), norm. avg. (of 13) = 0.448964
  fft 9: mflops = 9.16095 (norm. = 0.860215), norm. avg. (of 13) = 0.704696
  fft 10: mflops = 8.87467 (norm. = 0.833333), norm. avg. (of 13) = 0.624599
  fft 11: mflops = 5.46133 (norm. = 0.512821), norm. avg. (of 12) = 0.436427
  fft 12: mflops = 7.88859 (norm. = 0.740741), norm. avg. (of 13) = 0.695866
  fft 13: mflops = 7.67539 (norm. = 0.720721), norm. avg. (of 13) = 0.665012
  fft 14: mflops = 10.5835 (norm. = 0.993789), norm. avg. (of 13) = 0.983688
  fft 15: mflops = 10.6496 (norm. = 1), norm. avg. (of 13) = 0.964747
  fft 16: mflops = 8.51968 (norm. = 0.8), norm. avg. (of 13) = 0.896226
  fft 17: mflops = 7.09973 (norm. = 0.666667), norm. avg. (of 11) = 0.640312
  fft 18: mflops = 6.50357 (norm. = 0.610687), norm. avg. (of 13) = 0.538378
  fft 19: mflops = 6.40577 (norm. = 0.601504), norm. avg. (of 13) = 0.492623
  fft 20: mflops = 5.01158 (norm. = 0.470588), norm. avg. (of 13) = 0.39155
  fft 21: mflops = -1 (norm. = -0.0939002), norm. avg. (of 12) = 0.734683
  fft 22: mflops = 7.96232 (norm. = 0.747664), norm. avg. (of 12) = 0.621771
  fft 23: mflops = 8.51968 (norm. = 0.8), norm. avg. (of 12) = 0.673685
  fft 24: mflops = 8.35263 (norm. = 0.784314), norm. avg. (of 12) = 0.698901
  fft 25: mflops = 6.76165 (norm. = 0.634921), norm. avg. (of 12) = 0.529024
  fft 26: mflops = 4.05699 (norm. = 0.380952), norm. avg. (of 13) = 0.267903
  fft 27: mflops = 6.21874 (norm. = 0.583942), norm. avg. (of 13) = 0.458583
  fft 28: mflops = 7.15939 (norm. = 0.672269), norm. avg. (of 13) = 0.516712
  fft 29: mflops = 6.656 (norm. = 0.625), norm. avg. (of 13) = 0.472312
  fft 30: mflops = 9.5192 (norm. = 0.893855), norm. avg. (of 13) = 0.83326
  fft 31: mflops = 9.5192 (norm. = 0.893855), norm. avg. (of 13) = 0.81472
  fft 32: mflops = 7.88859 (norm. = 0.740741), norm. avg. (of 10) = 0.779379
  fft 33: mflops = 6.87071 (norm. = 0.645161), norm. avg. (of 12) = 0.428771
  fft 34: mflops = 2.39317 (norm. = 0.224719), norm. avg. (of 12) = 0.222511
  fft 35: mflops = 6.70841 (norm. = 0.629921), norm. avg. (of 13) = 0.495075
  fft 36: mflops = 7.04106 (norm. = 0.661157), norm. avg. (of 13) = 0.52397
  fft 37: mflops = 7.81622 (norm. = 0.733945), norm. avg. (of 13) = 0.741527
  fft 38: mflops = 6.08549 (norm. = 0.571429), norm. avg. (of 13) = 0.486012
  fft 39: mflops = 7.15939 (norm. = 0.672269), norm. avg. (of 13) = 0.58102
  fft 40: mflops = 5.91644 (norm. = 0.555556), norm. avg. (of 13) = 0.492707
  fft 41: mflops = 2.39317 (norm. = 0.224719), norm. avg. (of 13) = 0.203663

Benchmarking for array size = 16384 (power of 2):
0. Arndt DIF: elapsed time t=1.39 s, 8 iters, t-(init.)=1.37 s
    t(norm)=0.746591, mflops=6.69711 (err=1.7e-15)
1. Arndt DIT: elapsed time t=1.23 s, 8 iters, t-(init.)=1.21 s
    t(norm)=0.659398, mflops=7.58268 (err=1.8e-15)
2. Arndt Split-Radix: elapsed time t=1.55 s, 8 iters, t-(init.)=1.53 s
    t(norm)=0.833784, mflops=5.99676 (err=1.8e-15)
3. Arndt 4-step: elapsed time t=1.98 s, 8 iters, t-(init.)=1.96 s
    t(norm)=1.06812, mflops=4.68114 (err=1.8e-15)
4. Bailey: elapsed time t=1.98 s, 8 iters, t-(init.)=1.96 s
    t(norm)=1.06812, mflops=4.68114 (err=1.7e-15)
5. Beauregard: elapsed time t=1 s, 2 iters, t-(init.)=1 s
    t(norm)=2.17983, mflops=2.29376 (err=1.8e-15)
6. Bergland: elapsed time t=1.13 s, 8 iters, t-(init.)=1.11 s
    t(norm)=0.604902, mflops=8.2658 (err=1.8e-15)
7. Brenner: elapsed time t=1.3 s, 8 iters, t-(init.)=1.28 s
    t(norm)=0.697545, mflops=7.168 (err=1.8e-15)
8. Burrus: elapsed time t=1.75 s, 8 iters, t-(init.)=1.73 s
    t(norm)=0.942775, mflops=5.30349 (err=1.8e-15)
9. CWP (min N) (N=17160): elapsed time t=1.02 s, 8 iters, t-(init.)=1 s
    t(norm)=0.544957, mflops=9.17504
10. CWP (best N) (N=17160): elapsed time t=1.01 s, 8 iters, t-(init.)=0.99 s
    t(norm)=0.539507, mflops=9.26772
11. Edelblute: elapsed time t=1.72 s, 8 iters, t-(init.)=1.7 s
    t(norm)=0.926426, mflops=5.39708 (err=1.8e-15)
12. FFTPACK: elapsed time t=1.24 s, 8 iters, t-(init.)=1.22 s
    t(norm)=0.664847, mflops=7.52052 (err=1.8e-15)
13. FFTPACK (f2c): elapsed time t=1.26 s, 8 iters, t-(init.)=1.24 s
    t(norm)=0.675746, mflops=7.39923 (err=1.8e-15)

FFTW_MEASURE plan: (cost = 1.150000e-01)
FFTW_TWIDDLE 64
FFTW_TWIDDLE 16
FFTW_NOTW 16

14. FFTW: elapsed time t=1.78 s, 16 iters, t-(init.)=1.74 s
    t(norm)=0.474112, mflops=10.546 (err=1.9e-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=1.86 s, 16 iters, t-(init.)=1.82 s
    t(norm)=0.495911, mflops=10.0825 (err=1.8e-15)
16. Frigo-old: elapsed time t=1.14 s, 8 iters, t-(init.)=1.12 s
    t(norm)=0.610352, mflops=8.192 (err=1.9e-15)
17. Green: elapsed time t=1.37 s, 8 iters, t-(init.)=1.35 s
    t(norm)=0.735692, mflops=6.79633 (err=1.8e-15)
18. GSL: elapsed time t=1.41 s, 8 iters, t-(init.)=1.39 s
    t(norm)=0.75749, mflops=6.60075 (err=1.8e-15)
19. GSL DIT: elapsed time t=1.49 s, 8 iters, t-(init.)=1.47 s
    t(norm)=0.801086, mflops=6.24152 (err=1.8e-15)
20. GSL DIF: elapsed time t=1.88 s, 8 iters, t-(init.)=1.87 s
    t(norm)=1.01907, mflops=4.90644 (err=1.8e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.21 s, 8 iters, t-(init.)=1.19 s
    t(norm)=0.648499, mflops=7.71012 (err=1.8e-15)
23. Mayer (simple): elapsed time t=1.15 s, 8 iters, t-(init.)=1.13 s
    t(norm)=0.615801, mflops=8.1195
24. Mayer (lookup): elapsed time t=1.14 s, 8 iters, t-(init.)=1.12 s
    t(norm)=0.610352, mflops=8.192 (err=1.9e-15)
25. Monro: elapsed time t=1.37 s, 8 iters, t-(init.)=1.35 s
    t(norm)=0.735692, mflops=6.79633 (err=1.4e-07)
26. NAPACK (f2c): elapsed time t=1.13 s, 4 iters, t-(init.)=1.12 s
    t(norm)=1.2207, mflops=4.096 (err=2.3e-13)
27. Nielsen: elapsed time t=1.51 s, 8 iters, t-(init.)=1.49 s
    t(norm)=0.811986, mflops=6.15774 (err=1.3e-13)
28. NR (C): elapsed time t=1.35 s, 8 iters, t-(init.)=1.33 s
    t(norm)=0.724792, mflops=6.89853 (err=1.8e-15)
29. NR (F): elapsed time t=1.45 s, 8 iters, t-(init.)=1.43 s
    t(norm)=0.779288, mflops=6.41611 (err=1.8e-15)
30. Ooura (C): elapsed time t=1.97 s, 16 iters, t-(init.)=1.93 s
    t(norm)=0.525883, mflops=9.50781 (err=1.9e-15)
31. Ooura (F): elapsed time t=1.97 s, 16 iters, t-(init.)=1.93 s
    t(norm)=0.525883, mflops=9.50781 (err=1.9e-15)
32. QFT: elapsed time t=1.25 s, 8 iters, t-(init.)=1.23 s
    t(norm)=0.670297, mflops=7.45938 (err=3.8e-15)
33. Ransom: elapsed time t=1.29 s, 8 iters, t-(init.)=1.27 s
    t(norm)=0.692095, mflops=7.22444 (err=4.0e-15)
34. SCIPORT: elapsed time t=1 s, 2 iters, t-(init.)=1 s
    t(norm)=2.17983, mflops=2.29376 (err=2.1e-07)
35. Singleton: elapsed time t=1.37 s, 8 iters, t-(init.)=1.35 s
    t(norm)=0.735692, mflops=6.79633 (err=2.5e-15)
36. Singleton (f2c): elapsed time t=1.34 s, 8 iters, t-(init.)=1.32 s
    t(norm)=0.719343, mflops=6.95079 (err=2.5e-15)
37. Sorensen: elapsed time t=1.25 s, 8 iters, t-(init.)=1.23 s
    t(norm)=0.670297, mflops=7.45938 (err=1.9e-15)
38. Sorensen DIT: elapsed time t=1.53 s, 8 iters, t-(init.)=1.51 s
    t(norm)=0.822885, mflops=6.07619 (err=1.8e-15)
39. Temperton: elapsed time t=1.29 s, 8 iters, t-(init.)=1.27 s
    t(norm)=0.692095, mflops=7.22444 (err=1.5e-07)
40. Temperton (f2c): elapsed time t=1.51 s, 8 iters, t-(init.)=1.49 s
    t(norm)=0.811986, mflops=6.15774 (err=1.8e-15)
41. Valkenburg: elapsed time t=2 s, 4 iters, t-(init.)=1.99 s
    t(norm)=2.16893, mflops=2.30529 (err=1.7e-15)

Top mflops for N=16384 = 10.546
Normalized results and averages for N=16384:
  fft 0: mflops = 6.69711 (norm. = 0.635036), norm. avg. (of 14) = 0.663346
  fft 1: mflops = 7.58268 (norm. = 0.719008), norm. avg. (of 14) = 0.695552
  fft 2: mflops = 5.99676 (norm. = 0.568627), norm. avg. (of 14) = 0.519804
  fft 3: mflops = 4.68114 (norm. = 0.443878), norm. avg. (of 14) = 0.295253
  fft 4: mflops = 4.68114 (norm. = 0.443878), norm. avg. (of 14) = 0.41882
  fft 5: mflops = 2.29376 (norm. = 0.2175), norm. avg. (of 14) = 0.193191
  fft 6: mflops = 8.2658 (norm. = 0.783784), norm. avg. (of 14) = 0.642006
  fft 7: mflops = 7.168 (norm. = 0.679688), norm. avg. (of 14) = 0.546738
  fft 8: mflops = 5.30349 (norm. = 0.50289), norm. avg. (of 14) = 0.452816
  fft 9: mflops = 9.17504 (norm. = 0.87), norm. avg. (of 14) = 0.716503
  fft 10: mflops = 9.26772 (norm. = 0.878788), norm. avg. (of 14) = 0.642756
  fft 11: mflops = 5.39708 (norm. = 0.511765), norm. avg. (of 13) = 0.442222
  fft 12: mflops = 7.52052 (norm. = 0.713115), norm. avg. (of 14) = 0.697098
  fft 13: mflops = 7.39923 (norm. = 0.701613), norm. avg. (of 14) = 0.667626
  fft 14: mflops = 10.546 (norm. = 1), norm. avg. (of 14) = 0.984853
  fft 15: mflops = 10.0825 (norm. = 0.956044), norm. avg. (of 14) = 0.964126
  fft 16: mflops = 8.192 (norm. = 0.776786), norm. avg. (of 14) = 0.887695
  fft 17: mflops = 6.79633 (norm. = 0.644444), norm. avg. (of 12) = 0.640656
  fft 18: mflops = 6.60075 (norm. = 0.625899), norm. avg. (of 14) = 0.544629
  fft 19: mflops = 6.24152 (norm. = 0.591837), norm. avg. (of 14) = 0.499709
  fft 20: mflops = 4.90644 (norm. = 0.465241), norm. avg. (of 14) = 0.396813
  fft 21: mflops = -1 (norm. = -0.0948225), norm. avg. (of 12) = 0.734683
  fft 22: mflops = 7.71012 (norm. = 0.731092), norm. avg. (of 13) = 0.630181
  fft 23: mflops = 8.1195 (norm. = 0.769912), norm. avg. (of 13) = 0.681087
  fft 24: mflops = 8.192 (norm. = 0.776786), norm. avg. (of 13) = 0.704892
  fft 25: mflops = 6.79633 (norm. = 0.644444), norm. avg. (of 13) = 0.537903
  fft 26: mflops = 4.096 (norm. = 0.388393), norm. avg. (of 14) = 0.27651
  fft 27: mflops = 6.15774 (norm. = 0.583893), norm. avg. (of 14) = 0.467534
  fft 28: mflops = 6.89853 (norm. = 0.654135), norm. avg. (of 14) = 0.526528
  fft 29: mflops = 6.41611 (norm. = 0.608392), norm. avg. (of 14) = 0.482032
  fft 30: mflops = 9.50781 (norm. = 0.901554), norm. avg. (of 14) = 0.838138
  fft 31: mflops = 9.50781 (norm. = 0.901554), norm. avg. (of 14) = 0.820923
  fft 32: mflops = 7.45938 (norm. = 0.707317), norm. avg. (of 11) = 0.772828
  fft 33: mflops = 7.22444 (norm. = 0.685039), norm. avg. (of 13) = 0.448484
  fft 34: mflops = 2.29376 (norm. = 0.2175), norm. avg. (of 13) = 0.222126
  fft 35: mflops = 6.79633 (norm. = 0.644444), norm. avg. (of 14) = 0.505744
  fft 36: mflops = 6.95079 (norm. = 0.659091), norm. avg. (of 14) = 0.533621
  fft 37: mflops = 7.45938 (norm. = 0.707317), norm. avg. (of 14) = 0.739084
  fft 38: mflops = 6.07619 (norm. = 0.576159), norm. avg. (of 14) = 0.492451
  fft 39: mflops = 7.22444 (norm. = 0.685039), norm. avg. (of 14) = 0.58845
  fft 40: mflops = 6.15774 (norm. = 0.583893), norm. avg. (of 14) = 0.49922
  fft 41: mflops = 2.30529 (norm. = 0.218593), norm. avg. (of 14) = 0.20473

Benchmarking for array size = 32768 (power of 2):
0. Arndt DIF: elapsed time t=1.55 s, 4 iters, t-(init.)=1.53 s
    t(norm)=0.778198, mflops=6.4251 (err=2.1e-15)
1. Arndt DIT: elapsed time t=1.39 s, 4 iters, t-(init.)=1.36 s
    t(norm)=0.691732, mflops=7.22824 (err=2.1e-15)
2. Arndt Split-Radix: elapsed time t=1.77 s, 4 iters, t-(init.)=1.74 s
    t(norm)=0.88501, mflops=5.64966 (err=2.1e-15)
3. Arndt 4-step: elapsed time t=1.13 s, 2 iters, t-(init.)=1.12 s
    t(norm)=1.13932, mflops=4.38857 (err=2.1e-15)
4. Bailey: elapsed time t=1.07 s, 2 iters, t-(init.)=1.06 s
    t(norm)=1.07829, mflops=4.63698 (err=2.1e-15)
5. Beauregard: elapsed time t=1.09 s, 1 iters, t-(init.)=1.09 s
    t(norm)=2.21761, mflops=2.25468 (err=2.2e-15)
6. Bergland: elapsed time t=1.25 s, 4 iters, t-(init.)=1.23 s
    t(norm)=0.62561, mflops=7.9922 (err=2.2e-15)
7. Brenner: elapsed time t=1.44 s, 4 iters, t-(init.)=1.41 s
    t(norm)=0.717163, mflops=6.97191 (err=2.2e-15)
8. Burrus: elapsed time t=1.97 s, 4 iters, t-(init.)=1.94 s
    t(norm)=0.986735, mflops=5.06722 (err=2.1e-15)
9. CWP (min N) (N=34320): elapsed time t=1.07 s, 4 iters, t-(init.)=1.04 s
    t(norm)=0.528971, mflops=9.45231
10. CWP (best N) (N=34320): elapsed time t=1.07 s, 4 iters, t-(init.)=1.05 s
    t(norm)=0.534058, mflops=9.36229
11. Edelblute: elapsed time t=1.93 s, 4 iters, t-(init.)=1.91 s
    t(norm)=0.971476, mflops=5.14681 (err=2.1e-15)
12. FFTPACK: elapsed time t=1.32 s, 4 iters, t-(init.)=1.29 s
    t(norm)=0.656128, mflops=7.62047 (err=2.1e-15)
13. FFTPACK (f2c): elapsed time t=1.34 s, 4 iters, t-(init.)=1.31 s
    t(norm)=0.6663, mflops=7.50412 (err=2.1e-15)

FFTW_MEASURE plan: (cost = 2.500000e-01)
FFTW_TWIDDLE 64
FFTW_TWIDDLE 32
FFTW_NOTW 16

14. FFTW: elapsed time t=1.98 s, 8 iters, t-(init.)=1.93 s
    t(norm)=0.490824, mflops=10.1869 (err=2.1e-15)

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 s, 4 iters, t-(init.)=0.98 s
    t(norm)=0.498454, mflops=10.031 (err=2.1e-15)
16. Frigo-old: elapsed time t=1.29 s, 4 iters, t-(init.)=1.27 s
    t(norm)=0.645955, mflops=7.74047 (err=2.2e-15)
17. Green: elapsed time t=1.5 s, 4 iters, t-(init.)=1.47 s
    t(norm)=0.747681, mflops=6.68735 (err=2.2e-15)
18. GSL: elapsed time t=1.52 s, 4 iters, t-(init.)=1.49 s
    t(norm)=0.757853, mflops=6.59758 (err=2.2e-15)
19. GSL DIT: elapsed time t=1.7 s, 4 iters, t-(init.)=1.67 s
    t(norm)=0.849406, mflops=5.88647 (err=2.2e-15)
20. GSL DIF: elapsed time t=1.1 s, 2 iters, t-(init.)=1.08 s
    t(norm)=1.09863, mflops=4.55111 (err=2.2e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.34 s, 4 iters, t-(init.)=1.32 s
    t(norm)=0.671387, mflops=7.44727 (err=2.1e-15)
23. Mayer (simple): elapsed time t=1.22 s, 4 iters, t-(init.)=1.2 s
    t(norm)=0.610352, mflops=8.192
24. Mayer (lookup): elapsed time t=1.23 s, 4 iters, t-(init.)=1.2 s
    t(norm)=0.610352, mflops=8.192 (err=2.1e-15)
25. Monro: elapsed time t=1.57 s, 4 iters, t-(init.)=1.55 s
    t(norm)=0.788371, mflops=6.34219 (err=1.5e-07)
26. NAPACK (f2c): elapsed time t=1.23 s, 2 iters, t-(init.)=1.22 s
    t(norm)=1.24105, mflops=4.02885 (err=5.7e-13)
27. Nielsen: elapsed time t=1.69 s, 4 iters, t-(init.)=1.67 s
    t(norm)=0.849406, mflops=5.88647 (err=2.3e-13)
28. NR (C): elapsed time t=1.53 s, 4 iters, t-(init.)=1.5 s
    t(norm)=0.762939, mflops=6.5536 (err=2.2e-15)
29. NR (F): elapsed time t=1.63 s, 4 iters, t-(init.)=1.6 s
    t(norm)=0.813802, mflops=6.144 (err=2.2e-15)
30. Ooura (C): elapsed time t=1.09 s, 4 iters, t-(init.)=1.07 s
    t(norm)=0.54423, mflops=9.18729 (err=2.2e-15)
31. Ooura (F): elapsed time t=1.1 s, 4 iters, t-(init.)=1.08 s
    t(norm)=0.549316, mflops=9.10222 (err=2.2e-15)
32. QFT: elapsed time t=1.41 s, 4 iters, t-(init.)=1.39 s
    t(norm)=0.706991, mflops=7.07223 (err=4.9e-15)
33. Ransom: elapsed time t=1.44 s, 4 iters, t-(init.)=1.42 s
    t(norm)=0.722249, mflops=6.92282 (err=3.6e-15)
34. SCIPORT: elapsed time t=1.09 s, 1 iters, t-(init.)=1.09 s
    t(norm)=2.21761, mflops=2.25468 (err=2.3e-07)
35. Singleton: elapsed time t=1.66 s, 4 iters, t-(init.)=1.64 s
    t(norm)=0.834147, mflops=5.99415 (err=3.2e-15)
36. Singleton (f2c): elapsed time t=1.6 s, 4 iters, t-(init.)=1.58 s
    t(norm)=0.80363, mflops=6.22177 (err=3.2e-15)
37. Sorensen: elapsed time t=1.45 s, 4 iters, t-(init.)=1.43 s
    t(norm)=0.727336, mflops=6.87441 (err=2.1e-15)
38. Sorensen DIT: elapsed time t=1.72 s, 4 iters, t-(init.)=1.7 s
    t(norm)=0.864665, mflops=5.78259 (err=2.1e-15)
39. Temperton: elapsed time t=1.48 s, 4 iters, t-(init.)=1.45 s
    t(norm)=0.737508, mflops=6.77959 (err=1.5e-07)
40. Temperton (f2c): elapsed time t=1.68 s, 4 iters, t-(init.)=1.66 s
    t(norm)=0.84432, mflops=5.92193 (err=2.2e-15)
41. Valkenburg: elapsed time t=1.09 s, 1 iters, t-(init.)=1.09 s
    t(norm)=2.21761, mflops=2.25468 (err=2.3e-15)

Top mflops for N=32768 = 10.1869
Normalized results and averages for N=32768:
  fft 0: mflops = 6.4251 (norm. = 0.630719), norm. avg. (of 15) = 0.661171
  fft 1: mflops = 7.22824 (norm. = 0.709559), norm. avg. (of 15) = 0.696486
  fft 2: mflops = 5.64966 (norm. = 0.554598), norm. avg. (of 15) = 0.522124
  fft 3: mflops = 4.38857 (norm. = 0.430804), norm. avg. (of 15) = 0.30429
  fft 4: mflops = 4.63698 (norm. = 0.455189), norm. avg. (of 15) = 0.421245
  fft 5: mflops = 2.25468 (norm. = 0.22133), norm. avg. (of 15) = 0.195067
  fft 6: mflops = 7.9922 (norm. = 0.784553), norm. avg. (of 15) = 0.651509
  fft 7: mflops = 6.97191 (norm. = 0.684397), norm. avg. (of 15) = 0.555915
  fft 8: mflops = 5.06722 (norm. = 0.497423), norm. avg. (of 15) = 0.45579
  fft 9: mflops = 9.45231 (norm. = 0.927885), norm. avg. (of 15) = 0.730595
  fft 10: mflops = 9.36229 (norm. = 0.919048), norm. avg. (of 15) = 0.661175
  fft 11: mflops = 5.14681 (norm. = 0.505236), norm. avg. (of 14) = 0.446723
  fft 12: mflops = 7.62047 (norm. = 0.748062), norm. avg. (of 15) = 0.700495
  fft 13: mflops = 7.50412 (norm. = 0.736641), norm. avg. (of 15) = 0.672227
  fft 14: mflops = 10.1869 (norm. = 1), norm. avg. (of 15) = 0.985863
  fft 15: mflops = 10.031 (norm. = 0.984694), norm. avg. (of 15) = 0.965497
  fft 16: mflops = 7.74047 (norm. = 0.759843), norm. avg. (of 15) = 0.879171
  fft 17: mflops = 6.68735 (norm. = 0.656463), norm. avg. (of 13) = 0.641872
  fft 18: mflops = 6.59758 (norm. = 0.647651), norm. avg. (of 15) = 0.551497
  fft 19: mflops = 5.88647 (norm. = 0.577844), norm. avg. (of 15) = 0.504918
  fft 20: mflops = 4.55111 (norm. = 0.446759), norm. avg. (of 15) = 0.400143
  fft 21: mflops = -1 (norm. = -0.0981649), norm. avg. (of 12) = 0.734683
  fft 22: mflops = 7.44727 (norm. = 0.731061), norm. avg. (of 14) = 0.637386
  fft 23: mflops = 8.192 (norm. = 0.804167), norm. avg. (of 14) = 0.689878
  fft 24: mflops = 8.192 (norm. = 0.804167), norm. avg. (of 14) = 0.711983
  fft 25: mflops = 6.34219 (norm. = 0.622581), norm. avg. (of 14) = 0.543951
  fft 26: mflops = 4.02885 (norm. = 0.395492), norm. avg. (of 15) = 0.284442
  fft 27: mflops = 5.88647 (norm. = 0.577844), norm. avg. (of 15) = 0.474888
  fft 28: mflops = 6.5536 (norm. = 0.643333), norm. avg. (of 15) = 0.534315
  fft 29: mflops = 6.144 (norm. = 0.603125), norm. avg. (of 15) = 0.490105
  fft 30: mflops = 9.18729 (norm. = 0.901869), norm. avg. (of 15) = 0.842387
  fft 31: mflops = 9.10222 (norm. = 0.893519), norm. avg. (of 15) = 0.825762
  fft 32: mflops = 7.07223 (norm. = 0.694245), norm. avg. (of 12) = 0.766279
  fft 33: mflops = 6.92282 (norm. = 0.679577), norm. avg. (of 14) = 0.464991
  fft 34: mflops = 2.25468 (norm. = 0.22133), norm. avg. (of 14) = 0.222069
  fft 35: mflops = 5.99415 (norm. = 0.588415), norm. avg. (of 15) = 0.511256
  fft 36: mflops = 6.22177 (norm. = 0.610759), norm. avg. (of 15) = 0.538764
  fft 37: mflops = 6.87441 (norm. = 0.674825), norm. avg. (of 15) = 0.7348
  fft 38: mflops = 5.78259 (norm. = 0.567647), norm. avg. (of 15) = 0.497464
  fft 39: mflops = 6.77959 (norm. = 0.665517), norm. avg. (of 15) = 0.593588
  fft 40: mflops = 5.92193 (norm. = 0.581325), norm. avg. (of 15) = 0.504694
  fft 41: mflops = 2.25468 (norm. = 0.22133), norm. avg. (of 15) = 0.205837

Benchmarking for array size = 65536 (power of 2):
0. Arndt DIF: elapsed time t=1.75 s, 2 iters, t-(init.)=1.73 s
    t(norm)=0.824928, mflops=6.06113 (err=4.0e-15)
1. Arndt DIT: elapsed time t=1.57 s, 2 iters, t-(init.)=1.54 s
    t(norm)=0.734329, mflops=6.80894 (err=4.1e-15)
2. Arndt Split-Radix: elapsed time t=1.96 s, 2 iters, t-(init.)=1.94 s
    t(norm)=0.925064, mflops=5.40503 (err=4.1e-15)
3. Arndt 4-step: elapsed time t=1.13 s, 1 iters, t-(init.)=1.11 s
    t(norm)=1.05858, mflops=4.72332 (err=4.2e-15)
4. Bailey: elapsed time t=1.2 s, 1 iters, t-(init.)=1.18 s
    t(norm)=1.12534, mflops=4.44312 (err=4.0e-15)
5. Beauregard: elapsed time t=2.33 s, 1 iters, t-(init.)=2.32 s
    t(norm)=2.21252, mflops=2.25986 (err=4.2e-15)
6. Bergland: elapsed time t=1.38 s, 2 iters, t-(init.)=1.35 s
    t(norm)=0.64373, mflops=7.76723 (err=4.3e-15)
7. Brenner: elapsed time t=1.58 s, 2 iters, t-(init.)=1.56 s
    t(norm)=0.743866, mflops=6.72164 (err=4.3e-15)
8. Burrus: elapsed time t=1.08 s, 1 iters, t-(init.)=1.07 s
    t(norm)=1.02043, mflops=4.89989 (err=4.1e-15)
9. CWP (min N) (N=72072): elapsed time t=1.24 s, 2 iters, t-(init.)=1.21 s
    t(norm)=0.576973, mflops=8.66592
10. CWP (best N) (N=72072): elapsed time t=1.25 s, 2 iters, t-(init.)=1.23 s
    t(norm)=0.58651, mflops=8.52501
11. Edelblute: elapsed time t=1.06 s, 1 iters, t-(init.)=1.04 s
    t(norm)=0.991821, mflops=5.04123 (err=4.1e-15)
12. FFTPACK: elapsed time t=1.41 s, 2 iters, t-(init.)=1.38 s
    t(norm)=0.658035, mflops=7.59838 (err=4.2e-15)
13. FFTPACK (f2c): elapsed time t=1.45 s, 2 iters, t-(init.)=1.42 s
    t(norm)=0.677109, mflops=7.38434 (err=4.2e-15)

FFTW_MEASURE plan: (cost = 5.500000e-01)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 32
FFTW_NOTW 64

14. FFTW: elapsed time t=1.07 s, 2 iters, t-(init.)=1.04 s
    t(norm)=0.495911, mflops=10.0825 (err=4.4e-15)

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=1.06 s, 2 iters, t-(init.)=1.03 s
    t(norm)=0.491142, mflops=10.1803 (err=4.3e-15)
16. Frigo-old: elapsed time t=1.41 s, 2 iters, t-(init.)=1.38 s
    t(norm)=0.658035, mflops=7.59838 (err=4.4e-15)
17. Green: elapsed time t=1.62 s, 2 iters, t-(init.)=1.59 s
    t(norm)=0.758171, mflops=6.59482 (err=4.3e-15)
18. GSL: elapsed time t=1.62 s, 2 iters, t-(init.)=1.59 s
    t(norm)=0.758171, mflops=6.59482 (err=4.2e-15)
19. GSL DIT: elapsed time t=1.9 s, 2 iters, t-(init.)=1.87 s
    t(norm)=0.891685, mflops=5.60736 (err=4.2e-15)
20. GSL DIF: elapsed time t=1.19 s, 1 iters, t-(init.)=1.18 s
    t(norm)=1.12534, mflops=4.44312 (err=4.2e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.42 s, 2 iters, t-(init.)=1.39 s
    t(norm)=0.662804, mflops=7.54371 (err=4.2e-15)
23. Mayer (simple): elapsed time t=1.35 s, 2 iters, t-(init.)=1.33 s
    t(norm)=0.634193, mflops=7.88403
24. Mayer (lookup): elapsed time t=1.37 s, 2 iters, t-(init.)=1.34 s
    t(norm)=0.638962, mflops=7.82519 (err=4.2e-15)
25. Monro: elapsed time t=1.75 s, 2 iters, t-(init.)=1.72 s
    t(norm)=0.82016, mflops=6.09637 (err=1.6e-07)
26. NAPACK (f2c): elapsed time t=1.37 s, 1 iters, t-(init.)=1.36 s
    t(norm)=1.297, mflops=3.85506 (err=8.9e-13)
27. Nielsen: elapsed time t=1.01 s, 1 iters, t-(init.)=1 s
    t(norm)=0.953674, mflops=5.24288 (err=2.7e-13)
28. NR (C): elapsed time t=1.81 s, 2 iters, t-(init.)=1.79 s
    t(norm)=0.853539, mflops=5.85797 (err=4.2e-15)
29. NR (F): elapsed time t=1.9 s, 2 iters, t-(init.)=1.87 s
    t(norm)=0.891685, mflops=5.60736 (err=4.2e-15)
30. Ooura (C): elapsed time t=1.21 s, 2 iters, t-(init.)=1.18 s
    t(norm)=0.562668, mflops=8.88624 (err=4.4e-15)
31. Ooura (F): elapsed time t=1.18 s, 2 iters, t-(init.)=1.15 s
    t(norm)=0.548363, mflops=9.11805 (err=4.4e-15)
32. QFT: elapsed time t=1.59 s, 2 iters, t-(init.)=1.57 s
    t(norm)=0.748634, mflops=6.67883 (err=7.9e-15)
33. Ransom: elapsed time t=1.57 s, 2 iters, t-(init.)=1.54 s
    t(norm)=0.734329, mflops=6.80894 (err=6.9e-15)
34. SCIPORT: elapsed time t=2.44 s, 1 iters, t-(init.)=2.43 s
    t(norm)=2.31743, mflops=2.15756 (err=2.5e-07)
35. Singleton: elapsed time t=1.67 s, 2 iters, t-(init.)=1.64 s
    t(norm)=0.782013, mflops=6.39376 (err=5.6e-15)
36. Singleton (f2c): elapsed time t=1.64 s, 2 iters, t-(init.)=1.62 s
    t(norm)=0.772476, mflops=6.47269 (err=5.6e-15)
37. Sorensen: elapsed time t=1.58 s, 2 iters, t-(init.)=1.56 s
    t(norm)=0.743866, mflops=6.72164 (err=4.2e-15)
38. Sorensen DIT: elapsed time t=1.91 s, 2 iters, t-(init.)=1.88 s
    t(norm)=0.896454, mflops=5.57753 (err=4.1e-15)
39. Temperton: elapsed time t=1.58 s, 2 iters, t-(init.)=1.55 s
    t(norm)=0.739098, mflops=6.76501 (err=1.8e-07)
40. Temperton (f2c): elapsed time t=1.81 s, 2 iters, t-(init.)=1.79 s
    t(norm)=0.853539, mflops=5.85797 (err=4.2e-15)
41. Valkenburg: elapsed time t=2.38 s, 1 iters, t-(init.)=2.37 s
    t(norm)=2.26021, mflops=2.21219 (err=4.0e-15)

Top mflops for N=65536 = 10.1803
Normalized results and averages for N=65536:
  fft 0: mflops = 6.06113 (norm. = 0.595376), norm. avg. (of 16) = 0.657059
  fft 1: mflops = 6.80894 (norm. = 0.668831), norm. avg. (of 16) = 0.694758
  fft 2: mflops = 5.40503 (norm. = 0.530928), norm. avg. (of 16) = 0.522674
  fft 3: mflops = 4.72332 (norm. = 0.463964), norm. avg. (of 16) = 0.314269
  fft 4: mflops = 4.44312 (norm. = 0.436441), norm. avg. (of 16) = 0.422195
  fft 5: mflops = 2.25986 (norm. = 0.221983), norm. avg. (of 16) = 0.196749
  fft 6: mflops = 7.76723 (norm. = 0.762963), norm. avg. (of 16) = 0.658475
  fft 7: mflops = 6.72164 (norm. = 0.660256), norm. avg. (of 16) = 0.562437
  fft 8: mflops = 4.89989 (norm. = 0.481308), norm. avg. (of 16) = 0.457385
  fft 9: mflops = 8.66592 (norm. = 0.85124), norm. avg. (of 16) = 0.738135
  fft 10: mflops = 8.52501 (norm. = 0.837398), norm. avg. (of 16) = 0.672189
  fft 11: mflops = 5.04123 (norm. = 0.495192), norm. avg. (of 15) = 0.449954
  fft 12: mflops = 7.59838 (norm. = 0.746377), norm. avg. (of 16) = 0.703363
  fft 13: mflops = 7.38434 (norm. = 0.725352), norm. avg. (of 16) = 0.675548
  fft 14: mflops = 10.0825 (norm. = 0.990385), norm. avg. (of 16) = 0.986146
  fft 15: mflops = 10.1803 (norm. = 1), norm. avg. (of 16) = 0.967653
  fft 16: mflops = 7.59838 (norm. = 0.746377), norm. avg. (of 16) = 0.870872
  fft 17: mflops = 6.59482 (norm. = 0.647799), norm. avg. (of 14) = 0.642295
  fft 18: mflops = 6.59482 (norm. = 0.647799), norm. avg. (of 16) = 0.557516
  fft 19: mflops = 5.60736 (norm. = 0.550802), norm. avg. (of 16) = 0.507786
  fft 20: mflops = 4.44312 (norm. = 0.436441), norm. avg. (of 16) = 0.402412
  fft 21: mflops = -1 (norm. = -0.0982285), norm. avg. (of 12) = 0.734683
  fft 22: mflops = 7.54371 (norm. = 0.741007), norm. avg. (of 15) = 0.644294
  fft 23: mflops = 7.88403 (norm. = 0.774436), norm. avg. (of 15) = 0.695515
  fft 24: mflops = 7.82519 (norm. = 0.768657), norm. avg. (of 15) = 0.715761
  fft 25: mflops = 6.09637 (norm. = 0.598837), norm. avg. (of 15) = 0.54761
  fft 26: mflops = 3.85506 (norm. = 0.378676), norm. avg. (of 16) = 0.290332
  fft 27: mflops = 5.24288 (norm. = 0.515), norm. avg. (of 16) = 0.477395
  fft 28: mflops = 5.85797 (norm. = 0.575419), norm. avg. (of 16) = 0.536884
  fft 29: mflops = 5.60736 (norm. = 0.550802), norm. avg. (of 16) = 0.493899
  fft 30: mflops = 8.88624 (norm. = 0.872881), norm. avg. (of 16) = 0.844293
  fft 31: mflops = 9.11805 (norm. = 0.895652), norm. avg. (of 16) = 0.830131
  fft 32: mflops = 6.67883 (norm. = 0.656051), norm. avg. (of 13) = 0.7578
  fft 33: mflops = 6.80894 (norm. = 0.668831), norm. avg. (of 15) = 0.47858
  fft 34: mflops = 2.15756 (norm. = 0.211934), norm. avg. (of 15) = 0.221393
  fft 35: mflops = 6.39376 (norm. = 0.628049), norm. avg. (of 16) = 0.518555
  fft 36: mflops = 6.47269 (norm. = 0.635802), norm. avg. (of 16) = 0.544829
  fft 37: mflops = 6.72164 (norm. = 0.660256), norm. avg. (of 16) = 0.730141
  fft 38: mflops = 5.57753 (norm. = 0.547872), norm. avg. (of 16) = 0.500615
  fft 39: mflops = 6.76501 (norm. = 0.664516), norm. avg. (of 16) = 0.598021
  fft 40: mflops = 5.85797 (norm. = 0.575419), norm. avg. (of 16) = 0.509114
  fft 41: mflops = 2.21219 (norm. = 0.2173), norm. avg. (of 16) = 0.206553

Benchmarking for array size = 131072 (power of 2):
0. Arndt DIF: elapsed time t=1.85 s, 1 iters, t-(init.)=1.82 s
    t(norm)=0.816794, mflops=6.12149 (err=2.8e-15)
1. Arndt DIT: elapsed time t=1.7 s, 1 iters, t-(init.)=1.67 s
    t(norm)=0.749476, mflops=6.67133 (err=2.8e-15)
2. Arndt Split-Radix: elapsed time t=2.16 s, 1 iters, t-(init.)=2.13 s
    t(norm)=0.955918, mflops=5.23057 (err=2.8e-15)
3. Arndt 4-step: elapsed time t=2.52 s, 1 iters, t-(init.)=2.49 s
    t(norm)=1.11748, mflops=4.47435 (err=2.8e-15)
4. Bailey: elapsed time t=2.57 s, 1 iters, t-(init.)=2.54 s
    t(norm)=1.13992, mflops=4.38627 (err=2.8e-15)
5. Beauregard: elapsed time t=5.01 s, 1 iters, t-(init.)=4.98 s
    t(norm)=2.23496, mflops=2.23717 (err=2.9e-15)
6. Bergland: elapsed time t=1.49 s, 1 iters, t-(init.)=1.46 s
    t(norm)=0.65523, mflops=7.6309 (err=2.9e-15)
7. Brenner: elapsed time t=1.71 s, 1 iters, t-(init.)=1.68 s
    t(norm)=0.753964, mflops=6.63162 (err=2.9e-15)
8. Burrus: elapsed time t=2.35 s, 1 iters, t-(init.)=2.32 s
    t(norm)=1.04119, mflops=4.80221 (err=2.8e-15)
9. CWP (min N) (N=144144): elapsed time t=1.32 s, 1 iters, t-(init.)=1.29 s
    t(norm)=0.578936, mflops=8.63653
10. CWP (best N) (N=144144): elapsed time t=1.32 s, 1 iters, t-(init.)=1.29 s
    t(norm)=0.578936, mflops=8.63653
11. Edelblute: elapsed time t=2.32 s, 1 iters, t-(init.)=2.29 s
    t(norm)=1.02772, mflops=4.86512 (err=2.8e-15)
12. FFTPACK: elapsed time t=1.6 s, 1 iters, t-(init.)=1.57 s
    t(norm)=0.704597, mflops=7.09625 (err=2.9e-15)
13. FFTPACK (f2c): elapsed time t=1.64 s, 1 iters, t-(init.)=1.61 s
    t(norm)=0.722549, mflops=6.91995 (err=2.9e-15)

FFTW_MEASURE plan: (cost = 1.200000e+00)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 32
FFTW_TWIDDLE 32
FFTW_NOTW 16

14. FFTW: elapsed time t=1.15 s, 1 iters, t-(init.)=1.12 s
    t(norm)=0.502642, mflops=9.94743 (err=2.8e-15)

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=1.15 s, 1 iters, t-(init.)=1.12 s
    t(norm)=0.502642, mflops=9.94743 (err=2.9e-15)
16. Frigo-old: elapsed time t=1.55 s, 1 iters, t-(init.)=1.53 s
    t(norm)=0.686646, mflops=7.28178 (err=2.8e-15)
17. Green: elapsed time t=1.81 s, 1 iters, t-(init.)=1.78 s
    t(norm)=0.798842, mflops=6.25906 (err=2.9e-15)
18. GSL: elapsed time t=1.79 s, 1 iters, t-(init.)=1.76 s
    t(norm)=0.789867, mflops=6.33018 (err=2.9e-15)
19. GSL DIT: elapsed time t=2.11 s, 1 iters, t-(init.)=2.08 s
    t(norm)=0.933479, mflops=5.35631 (err=2.9e-15)
20. GSL DIF: elapsed time t=2.57 s, 1 iters, t-(init.)=2.54 s
    t(norm)=1.13992, mflops=4.38627 (err=2.9e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=1.59 s, 1 iters, t-(init.)=1.56 s
    t(norm)=0.700109, mflops=7.14174 (err=2.8e-15)
23. Mayer (simple): elapsed time t=1.51 s, 1 iters, t-(init.)=1.48 s
    t(norm)=0.664206, mflops=7.52778
24. Mayer (lookup): elapsed time t=1.53 s, 1 iters, t-(init.)=1.5 s
    t(norm)=0.673182, mflops=7.42741 (err=2.8e-15)
25. Monro: elapsed time t=1.87 s, 1 iters, t-(init.)=1.84 s
    t(norm)=0.82577, mflops=6.05496 (err=1.7e-07)
26. NAPACK (f2c): elapsed time t=2.81 s, 1 iters, t-(init.)=2.78 s
    t(norm)=1.24763, mflops=4.0076 (err=2.1e-12)
27. Nielsen: elapsed time t=2.04 s, 1 iters, t-(init.)=2.02 s
    t(norm)=0.906552, mflops=5.51541 (err=9.6e-13)
28. NR (C): elapsed time t=1.94 s, 1 iters, t-(init.)=1.92 s
    t(norm)=0.861673, mflops=5.80267 (err=2.9e-15)
29. NR (F): elapsed time t=2.02 s, 1 iters, t-(init.)=1.99 s
    t(norm)=0.893088, mflops=5.59855 (err=2.9e-15)
30. Ooura (C): elapsed time t=1.28 s, 1 iters, t-(init.)=1.25 s
    t(norm)=0.560985, mflops=8.9129 (err=2.8e-15)
31. Ooura (F): elapsed time t=1.28 s, 1 iters, t-(init.)=1.26 s
    t(norm)=0.565473, mflops=8.84216 (err=2.8e-15)
32. QFT: elapsed time t=1.75 s, 1 iters, t-(init.)=1.72 s
    t(norm)=0.771915, mflops=6.4774 (err=8.6e-15)
33. Ransom: elapsed time t=1.71 s, 1 iters, t-(init.)=1.68 s
    t(norm)=0.753964, mflops=6.63162 (err=4.0e-15)
34. SCIPORT: elapsed time t=5.07 s, 1 iters, t-(init.)=5.04 s
    t(norm)=2.26189, mflops=2.21054 (err=2.7e-07)
35. Singleton: elapsed time t=1.85 s, 1 iters, t-(init.)=1.82 s
    t(norm)=0.816794, mflops=6.12149 (err=4.3e-15)
36. Singleton (f2c): elapsed time t=1.82 s, 1 iters, t-(init.)=1.79 s
    t(norm)=0.80333, mflops=6.22409 (err=4.2e-15)
37. Sorensen: elapsed time t=1.74 s, 1 iters, t-(init.)=1.71 s
    t(norm)=0.767427, mflops=6.51527 (err=2.8e-15)
38. Sorensen DIT: elapsed time t=2.07 s, 1 iters, t-(init.)=2.05 s
    t(norm)=0.920015, mflops=5.43469 (err=2.8e-15)
39. Temperton: elapsed time t=1.78 s, 1 iters, t-(init.)=1.76 s
    t(norm)=0.789867, mflops=6.33018 (err=2.0e-07)
40. Temperton (f2c): elapsed time t=2.02 s, 1 iters, t-(init.)=1.99 s
    t(norm)=0.893088, mflops=5.59855 (err=2.9e-15)
41. Valkenburg: elapsed time t=5.18 s, 1 iters, t-(init.)=5.15 s
    t(norm)=2.31126, mflops=2.16332 (err=3.1e-15)

Top mflops for N=131072 = 9.94743
Normalized results and averages for N=131072:
  fft 0: mflops = 6.12149 (norm. = 0.615385), norm. avg. (of 17) = 0.654607
  fft 1: mflops = 6.67133 (norm. = 0.670659), norm. avg. (of 17) = 0.69334
  fft 2: mflops = 5.23057 (norm. = 0.525822), norm. avg. (of 17) = 0.522859
  fft 3: mflops = 4.47435 (norm. = 0.449799), norm. avg. (of 17) = 0.322242
  fft 4: mflops = 4.38627 (norm. = 0.440945), norm. avg. (of 17) = 0.423297
  fft 5: mflops = 2.23717 (norm. = 0.2249), norm. avg. (of 17) = 0.198405
  fft 6: mflops = 7.6309 (norm. = 0.767123), norm. avg. (of 17) = 0.664866
  fft 7: mflops = 6.63162 (norm. = 0.666667), norm. avg. (of 17) = 0.568568
  fft 8: mflops = 4.80221 (norm. = 0.482759), norm. avg. (of 17) = 0.458878
  fft 9: mflops = 8.63653 (norm. = 0.868217), norm. avg. (of 17) = 0.745787
  fft 10: mflops = 8.63653 (norm. = 0.868217), norm. avg. (of 17) = 0.68372
  fft 11: mflops = 4.86512 (norm. = 0.489083), norm. avg. (of 16) = 0.4524
  fft 12: mflops = 7.09625 (norm. = 0.713376), norm. avg. (of 17) = 0.703952
  fft 13: mflops = 6.91995 (norm. = 0.695652), norm. avg. (of 17) = 0.67673
  fft 14: mflops = 9.94743 (norm. = 1), norm. avg. (of 17) = 0.986961
  fft 15: mflops = 9.94743 (norm. = 1), norm. avg. (of 17) = 0.969556
  fft 16: mflops = 7.28178 (norm. = 0.732026), norm. avg. (of 17) = 0.862704
  fft 17: mflops = 6.25906 (norm. = 0.629213), norm. avg. (of 15) = 0.641423
  fft 18: mflops = 6.33018 (norm. = 0.636364), norm. avg. (of 17) = 0.562154
  fft 19: mflops = 5.35631 (norm. = 0.538462), norm. avg. (of 17) = 0.50959
  fft 20: mflops = 4.38627 (norm. = 0.440945), norm. avg. (of 17) = 0.404678
  fft 21: mflops = -1 (norm. = -0.100528), norm. avg. (of 12) = 0.734683
  fft 22: mflops = 7.14174 (norm. = 0.717949), norm. avg. (of 16) = 0.648898
  fft 23: mflops = 7.52778 (norm. = 0.756757), norm. avg. (of 16) = 0.699343
  fft 24: mflops = 7.42741 (norm. = 0.746667), norm. avg. (of 16) = 0.717693
  fft 25: mflops = 6.05496 (norm. = 0.608696), norm. avg. (of 16) = 0.551428
  fft 26: mflops = 4.0076 (norm. = 0.402878), norm. avg. (of 17) = 0.296952
  fft 27: mflops = 5.51541 (norm. = 0.554455), norm. avg. (of 17) = 0.481928
  fft 28: mflops = 5.80267 (norm. = 0.583333), norm. avg. (of 17) = 0.539616
  fft 29: mflops = 5.59855 (norm. = 0.562814), norm. avg. (of 17) = 0.497953
  fft 30: mflops = 8.9129 (norm. = 0.896), norm. avg. (of 17) = 0.847334
  fft 31: mflops = 8.84216 (norm. = 0.888889), norm. avg. (of 17) = 0.833587
  fft 32: mflops = 6.4774 (norm. = 0.651163), norm. avg. (of 14) = 0.750183
  fft 33: mflops = 6.63162 (norm. = 0.666667), norm. avg. (of 16) = 0.490336
  fft 34: mflops = 2.21054 (norm. = 0.222222), norm. avg. (of 16) = 0.221445
  fft 35: mflops = 6.12149 (norm. = 0.615385), norm. avg. (of 17) = 0.524251
  fft 36: mflops = 6.22409 (norm. = 0.625698), norm. avg. (of 17) = 0.549586
  fft 37: mflops = 6.51527 (norm. = 0.654971), norm. avg. (of 17) = 0.725719
  fft 38: mflops = 5.43469 (norm. = 0.546341), norm. avg. (of 17) = 0.503305
  fft 39: mflops = 6.33018 (norm. = 0.636364), norm. avg. (of 17) = 0.600276
  fft 40: mflops = 5.59855 (norm. = 0.562814), norm. avg. (of 17) = 0.512273
  fft 41: mflops = 2.16332 (norm. = 0.217476), norm. avg. (of 17) = 0.207195

Benchmarking for array size = 262144 (power of 2):
0. Arndt DIF: elapsed time t=4.09 s, 1 iters, t-(init.)=4.03 s
    t(norm)=0.854068, mflops=5.85433 (err=6.7e-15)
1. Arndt DIT: elapsed time t=3.69 s, 1 iters, t-(init.)=3.64 s
    t(norm)=0.771417, mflops=6.48158 (err=6.7e-15)
2. Arndt Split-Radix: elapsed time t=4.65 s, 1 iters, t-(init.)=4.6 s
    t(norm)=0.974867, mflops=5.1289 (err=6.7e-15)
3. Arndt 4-step: elapsed time t=4.82 s, 1 iters, t-(init.)=4.76 s
    t(norm)=1.00878, mflops=4.9565 (err=6.8e-15)
4. Bailey: elapsed time t=5.61 s, 1 iters, t-(init.)=5.55 s
    t(norm)=1.1762, mflops=4.25098 (err=6.7e-15)
5. Beauregard: elapsed time t=10.69 s, 1 iters, t-(init.)=10.64 s
    t(norm)=2.25491, mflops=2.21738 (err=6.8e-15)
6. Bergland: elapsed time t=3.13 s, 1 iters, t-(init.)=3.07 s
    t(norm)=0.650618, mflops=7.685 (err=6.8e-15)
7. Brenner: elapsed time t=3.61 s, 1 iters, t-(init.)=3.55 s
    t(norm)=0.752343, mflops=6.6459 (err=6.9e-15)
8. Burrus: elapsed time t=5.02 s, 1 iters, t-(init.)=4.97 s
    t(norm)=1.05328, mflops=4.74707 (err=6.7e-15)
9. CWP (min N) (N=360360): elapsed time t=3.6 s, 1 iters, t-(init.)=3.53 s
    t(norm)=0.748105, mflops=6.68356
10. CWP (best N) (N=360360): elapsed time t=3.61 s, 1 iters, t-(init.)=3.53 s
    t(norm)=0.748105, mflops=6.68356
11. Edelblute: elapsed time t=4.97 s, 1 iters, t-(init.)=4.91 s
    t(norm)=1.04056, mflops=4.80508 (err=6.7e-15)
12. FFTPACK: elapsed time t=3.45 s, 1 iters, t-(init.)=3.39 s
    t(norm)=0.718435, mflops=6.95958 (err=6.8e-15)
13. FFTPACK (f2c): elapsed time t=3.51 s, 1 iters, t-(init.)=3.45 s
    t(norm)=0.73115, mflops=6.83854 (err=6.8e-15)

FFTW_MEASURE plan: (cost = 2.580000e+00)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 64
FFTW_TWIDDLE 32
FFTW_NOTW 16

14. FFTW: elapsed time t=2.51 s, 1 iters, t-(init.)=2.46 s
    t(norm)=0.521342, mflops=9.59063 (err=6.9e-15)

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=2.59 s, 1 iters, t-(init.)=2.54 s
    t(norm)=0.538296, mflops=9.28857 (err=6.8e-15)
16. Frigo-old: elapsed time t=3.37 s, 1 iters, t-(init.)=3.32 s
    t(norm)=0.7036, mflops=7.10631 (err=6.9e-15)
17. Green: elapsed time t=3.8 s, 1 iters, t-(init.)=3.76 s
    t(norm)=0.796848, mflops=6.27472 (err=6.9e-15)
18. GSL: elapsed time t=3.78 s, 1 iters, t-(init.)=3.72 s
    t(norm)=0.788371, mflops=6.34219 (err=6.8e-15)
19. GSL DIT: elapsed time t=4.51 s, 1 iters, t-(init.)=4.45 s
    t(norm)=0.943078, mflops=5.30179 (err=6.8e-15)
20. GSL DIF: elapsed time t=5.52 s, 1 iters, t-(init.)=5.47 s
    t(norm)=1.15924, mflops=4.31316 (err=6.8e-15)
21. Skipping fft (Krukar can't handle N > 4096).
22. Mayer (Buneman): elapsed time t=3.46 s, 1 iters, t-(init.)=3.41 s
    t(norm)=0.722673, mflops=6.91876 (err=6.8e-15)
23. Mayer (simple): elapsed time t=3.3 s, 1 iters, t-(init.)=3.24 s
    t(norm)=0.686646, mflops=7.28178
24. Mayer (lookup): elapsed time t=3.4 s, 1 iters, t-(init.)=3.34 s
    t(norm)=0.707838, mflops=7.06376 (err=6.8e-15)
25. Monro: elapsed time t=4.01 s, 1 iters, t-(init.)=3.96 s
    t(norm)=0.839233, mflops=5.95782 (err=1.8e-07)
26. NAPACK (f2c): elapsed time t=5.8 s, 1 iters, t-(init.)=5.75 s
    t(norm)=1.21858, mflops=4.10312 (err=3.7e-12)
27. Nielsen: elapsed time t=4.28 s, 1 iters, t-(init.)=4.22 s
    t(norm)=0.894335, mflops=5.59075 (err=2.2e-12)
28. NR (C): elapsed time t=4.09 s, 1 iters, t-(init.)=4.04 s
    t(norm)=0.856188, mflops=5.83984 (err=6.8e-15)
29. NR (F): elapsed time t=4.32 s, 1 iters, t-(init.)=4.26 s
    t(norm)=0.902812, mflops=5.53825 (err=6.8e-15)
30. Ooura (C): elapsed time t=2.71 s, 1 iters, t-(init.)=2.66 s
    t(norm)=0.563727, mflops=8.86953 (err=6.9e-15)
31. Ooura (F): elapsed time t=2.71 s, 1 iters, t-(init.)=2.65 s
    t(norm)=0.561608, mflops=8.903 (err=6.9e-15)
32. QFT: elapsed time t=4.02 s, 1 iters, t-(init.)=3.96 s
    t(norm)=0.839233, mflops=5.95782 (err=1.4e-14)
33. Ransom: elapsed time t=3.4 s, 1 iters, t-(init.)=3.34 s
    t(norm)=0.707838, mflops=7.06376 (err=8.2e-15)
34. SCIPORT: elapsed time t=10.94 s, 1 iters, t-(init.)=10.88 s
    t(norm)=2.30577, mflops=2.16847 (err=2.8e-07)
35. Singleton: elapsed time t=3.86 s, 1 iters, t-(init.)=3.8 s
    t(norm)=0.805325, mflops=6.20867 (err=1.0e-14)
36. Singleton (f2c): elapsed time t=3.81 s, 1 iters, t-(init.)=3.75 s
    t(norm)=0.794729, mflops=6.29146 (err=1.0e-14)
37. Sorensen: elapsed time t=3.82 s, 1 iters, t-(init.)=3.77 s
    t(norm)=0.798967, mflops=6.25808 (err=6.8e-15)
38. Sorensen DIT: elapsed time t=4.41 s, 1 iters, t-(init.)=4.36 s
    t(norm)=0.924004, mflops=5.41123 (err=6.7e-15)
39. Temperton: elapsed time t=3.68 s, 1 iters, t-(init.)=3.62 s
    t(norm)=0.767178, mflops=6.51739 (err=2.0e-07)
40. Temperton (f2c): elapsed time t=4.18 s, 1 iters, t-(init.)=4.13 s
    t(norm)=0.875261, mflops=5.71258 (err=6.8e-15)
41. Valkenburg: elapsed time t=11.3 s, 1 iters, t-(init.)=11.25 s
    t(norm)=2.38419, mflops=2.09715 (err=6.8e-15)

Top mflops for N=262144 = 9.59063
Normalized results and averages for N=262144:
  fft 0: mflops = 5.85433 (norm. = 0.610422), norm. avg. (of 18) = 0.652152
  fft 1: mflops = 6.48158 (norm. = 0.675824), norm. avg. (of 18) = 0.692367
  fft 2: mflops = 5.1289 (norm. = 0.534783), norm. avg. (of 18) = 0.523522
  fft 3: mflops = 4.9565 (norm. = 0.516807), norm. avg. (of 18) = 0.333051
  fft 4: mflops = 4.25098 (norm. = 0.443243), norm. avg. (of 18) = 0.424406
  fft 5: mflops = 2.21738 (norm. = 0.231203), norm. avg. (of 18) = 0.200227
  fft 6: mflops = 7.685 (norm. = 0.801303), norm. avg. (of 18) = 0.672446
  fft 7: mflops = 6.6459 (norm. = 0.692958), norm. avg. (of 18) = 0.575478
  fft 8: mflops = 4.74707 (norm. = 0.49497), norm. avg. (of 18) = 0.460883
  fft 9: mflops = 6.68356 (norm. = 0.696884), norm. avg. (of 18) = 0.74307
  fft 10: mflops = 6.68356 (norm. = 0.696884), norm. avg. (of 18) = 0.684451
  fft 11: mflops = 4.80508 (norm. = 0.501018), norm. avg. (of 17) = 0.45526
  fft 12: mflops = 6.95958 (norm. = 0.725664), norm. avg. (of 18) = 0.705158
  fft 13: mflops = 6.83854 (norm. = 0.713043), norm. avg. (of 18) = 0.678748
  fft 14: mflops = 9.59063 (norm. = 1), norm. avg. (of 18) = 0.987685
  fft 15: mflops = 9.28857 (norm. = 0.968504), norm. avg. (of 18) = 0.969498
  fft 16: mflops = 7.10631 (norm. = 0.740964), norm. avg. (of 18) = 0.855941
  fft 17: mflops = 6.27472 (norm. = 0.654255), norm. avg. (of 16) = 0.642225
  fft 18: mflops = 6.34219 (norm. = 0.66129), norm. avg. (of 18) = 0.567662
  fft 19: mflops = 5.30179 (norm. = 0.552809), norm. avg. (of 18) = 0.511991
  fft 20: mflops = 4.31316 (norm. = 0.449726), norm. avg. (of 18) = 0.407181
  fft 21: mflops = -1 (norm. = -0.104268), norm. avg. (of 12) = 0.734683
  fft 22: mflops = 6.91876 (norm. = 0.721408), norm. avg. (of 17) = 0.653163
  fft 23: mflops = 7.28178 (norm. = 0.759259), norm. avg. (of 17) = 0.702867
  fft 24: mflops = 7.06376 (norm. = 0.736527), norm. avg. (of 17) = 0.718801
  fft 25: mflops = 5.95782 (norm. = 0.621212), norm. avg. (of 17) = 0.555533
  fft 26: mflops = 4.10312 (norm. = 0.427826), norm. avg. (of 18) = 0.304223
  fft 27: mflops = 5.59075 (norm. = 0.582938), norm. avg. (of 18) = 0.48754
  fft 28: mflops = 5.83984 (norm. = 0.608911), norm. avg. (of 18) = 0.543466
  fft 29: mflops = 5.53825 (norm. = 0.577465), norm. avg. (of 18) = 0.50237
  fft 30: mflops = 8.86953 (norm. = 0.924812), norm. avg. (of 18) = 0.851639
  fft 31: mflops = 8.903 (norm. = 0.928302), norm. avg. (of 18) = 0.838849
  fft 32: mflops = 5.95782 (norm. = 0.621212), norm. avg. (of 15) = 0.741585
  fft 33: mflops = 7.06376 (norm. = 0.736527), norm. avg. (of 17) = 0.504817
  fft 34: mflops = 2.16847 (norm. = 0.226103), norm. avg. (of 17) = 0.221719
  fft 35: mflops = 6.20867 (norm. = 0.647368), norm. avg. (of 18) = 0.531091
  fft 36: mflops = 6.29146 (norm. = 0.656), norm. avg. (of 18) = 0.555498
  fft 37: mflops = 6.25808 (norm. = 0.65252), norm. avg. (of 18) = 0.721652
  fft 38: mflops = 5.41123 (norm. = 0.56422), norm. avg. (of 18) = 0.506689
  fft 39: mflops = 6.51739 (norm. = 0.679558), norm. avg. (of 18) = 0.604681
  fft 40: mflops = 5.71258 (norm. = 0.595642), norm. avg. (of 18) = 0.516904
  fft 41: mflops = 2.09715 (norm. = 0.218667), norm. avg. (of 18) = 0.207833

------------------------------------------------------
@@@@ bench.1d.np2.log
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. Nielsen
10. Singleton
11. Singleton (f2c)
12. Temperton
13. Temperton (f2c)
14. Valkenburg


Computing normalized averages (15 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=1.53 s, 131072 iters, t-(init.)=1.47 s
    t(norm)=0.723106, mflops=6.91462
2. CWP (best N) (N=15): elapsed time t=1.08 s, 32768 iters, t-(init.)=1.05 s
    t(norm)=2.06602, mflops=2.42012
3. FFTPACK: elapsed time t=1.43 s, 131072 iters, t-(init.)=1.37 s
    t(norm)=0.673915, mflops=7.41933 (err=1.2e-16)
4. FFTPACK (f2c): elapsed time t=1.52 s, 131072 iters, t-(init.)=1.46 s
    t(norm)=0.718187, mflops=6.96198 (err=1.5e-16)

FFTW_MEASURE plan: (cost = 6.103516e-06)
FFTW_NOTW 6

5. FFTW: elapsed time t=1.6 s, 262144 iters, t-(init.)=1.48 s
    t(norm)=0.364012, mflops=13.7358 (err=8.7e-17)

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

6. FFTW_ESTIMATE: elapsed time t=1.62 s, 262144 iters, t-(init.)=1.51 s
    t(norm)=0.371391, mflops=13.4629 (err=8.7e-17)
7. Frigo-old: elapsed time t=1.22 s, 65536 iters, t-(init.)=1.19 s
    t(norm)=1.17074, mflops=4.27079 (err=2.6e-16)
8. GSL: elapsed time t=1.85 s, 131072 iters, t-(init.)=1.79 s
    t(norm)=0.880517, mflops=5.67848 (err=8.2e-17)
9. Nielsen: elapsed time t=1.26 s, 32768 iters, t-(init.)=1.25 s
    t(norm)=2.45954, mflops=2.0329 (err=5.7e-16)
10. Singleton: elapsed time t=1.61 s, 65536 iters, t-(init.)=1.58 s
    t(norm)=1.55443, mflops=3.21661 (err=1.2e-16)
11. Singleton (f2c): elapsed time t=1.44 s, 65536 iters, t-(init.)=1.41 s
    t(norm)=1.38718, mflops=3.60443 (err=1.2e-16)
12. Temperton: elapsed time t=1.03 s, 65536 iters, t-(init.)=1 s
    t(norm)=0.983818, mflops=5.08224 (err=3.9e-09)
13. Temperton (f2c): elapsed time t=1.2 s, 65536 iters, t-(init.)=1.17 s
    t(norm)=1.15107, mflops=4.3438 (err=2.1e-16)
14. Valkenburg: elapsed time t=1.76 s, 65536 iters, t-(init.)=1.73 s
    t(norm)=1.702, mflops=2.93771 (err=2.4e-16)

Top mflops for N=6 = 13.7358
Normalized results and averages for N=6:
  fft 0: mflops = -1 (norm. = -0.0728025), norm. avg. (of 0) = -1
  fft 1: mflops = 6.91462 (norm. = 0.503401), norm. avg. (of 1) = 0.503401
  fft 2: mflops = 2.42012 (norm. = 0.17619), norm. avg. (of 1) = 0.17619
  fft 3: mflops = 7.41933 (norm. = 0.540146), norm. avg. (of 1) = 0.540146
  fft 4: mflops = 6.96198 (norm. = 0.506849), norm. avg. (of 1) = 0.506849
  fft 5: mflops = 13.7358 (norm. = 1), norm. avg. (of 1) = 1
  fft 6: mflops = 13.4629 (norm. = 0.980132), norm. avg. (of 1) = 0.980132
  fft 7: mflops = 4.27079 (norm. = 0.310924), norm. avg. (of 1) = 0.310924
  fft 8: mflops = 5.67848 (norm. = 0.413408), norm. avg. (of 1) = 0.413408
  fft 9: mflops = 2.0329 (norm. = 0.148), norm. avg. (of 1) = 0.148
  fft 10: mflops = 3.21661 (norm. = 0.234177), norm. avg. (of 1) = 0.234177
  fft 11: mflops = 3.60443 (norm. = 0.262411), norm. avg. (of 1) = 0.262411
  fft 12: mflops = 5.08224 (norm. = 0.37), norm. avg. (of 1) = 0.37
  fft 13: mflops = 4.3438 (norm. = 0.316239), norm. avg. (of 1) = 0.316239
  fft 14: mflops = 2.93771 (norm. = 0.213873), norm. avg. (of 1) = 0.213873

Benchmarking for array size = 9:
0. Brenner: elapsed time t=1.94 s, 32768 iters, t-(init.)=1.92 s
    t(norm)=2.05381, mflops=2.4345 (err=4.8e-16)
1. CWP (min N): elapsed time t=1.23 s, 65536 iters, t-(init.)=1.19 s
    t(norm)=0.636466, mflops=7.85587
2. CWP (best N) (N=15): elapsed time t=1.07 s, 32768 iters, t-(init.)=1.04 s
    t(norm)=1.11248, mflops=4.49447
3. FFTPACK: elapsed time t=1.3 s, 65536 iters, t-(init.)=1.26 s
    t(norm)=0.673906, mflops=7.41944 (err=1.1e-16)
4. FFTPACK (f2c): elapsed time t=1.33 s, 65536 iters, t-(init.)=1.29 s
    t(norm)=0.689951, mflops=7.24689 (err=2.5e-16)

FFTW_MEASURE plan: (cost = 1.464844e-05)
FFTW_NOTW 9

5. FFTW: elapsed time t=1.76 s, 131072 iters, t-(init.)=1.68 s
    t(norm)=0.44927, mflops=11.1292 (err=2.1e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.76 s, 131072 iters, t-(init.)=1.68 s
    t(norm)=0.44927, mflops=11.1292 (err=2.1e-16)
7. Frigo-old: elapsed time t=1.47 s, 32768 iters, t-(init.)=1.45 s
    t(norm)=1.55105, mflops=3.22362 (err=3.1e-16)
8. GSL: elapsed time t=1.92 s, 65536 iters, t-(init.)=1.88 s
    t(norm)=1.00551, mflops=4.9726 (err=1.7e-16)
9. Nielsen: elapsed time t=1.48 s, 32768 iters, t-(init.)=1.46 s
    t(norm)=1.56175, mflops=3.20154 (err=9.6e-16)
10. Singleton: elapsed time t=1.04 s, 32768 iters, t-(init.)=1.02 s
    t(norm)=1.09109, mflops=4.58259 (err=1.5e-16)
11. Singleton (f2c): elapsed time t=1.87 s, 65536 iters, t-(init.)=1.83 s
    t(norm)=0.978768, mflops=5.10846 (err=1.5e-16)
12. Temperton: elapsed time t=1.69 s, 65536 iters, t-(init.)=1.65 s
    t(norm)=0.882496, mflops=5.66575 (err=1.9e-08)
13. Temperton (f2c): elapsed time t=1.93 s, 65536 iters, t-(init.)=1.9 s
    t(norm)=1.01621, mflops=4.92026 (err=1.3e-16)
14. Valkenburg: elapsed time t=1.74 s, 32768 iters, t-(init.)=1.72 s
    t(norm)=1.83987, mflops=2.71758 (err=4.0e-16)

Top mflops for N=9 = 11.1292
Normalized results and averages for N=9:
  fft 0: mflops = 2.4345 (norm. = 0.21875), norm. avg. (of 1) = 0.21875
  fft 1: mflops = 7.85587 (norm. = 0.705882), norm. avg. (of 2) = 0.604642
  fft 2: mflops = 4.49447 (norm. = 0.403846), norm. avg. (of 2) = 0.290018
  fft 3: mflops = 7.41944 (norm. = 0.666667), norm. avg. (of 2) = 0.603406
  fft 4: mflops = 7.24689 (norm. = 0.651163), norm. avg. (of 2) = 0.579006
  fft 5: mflops = 11.1292 (norm. = 1), norm. avg. (of 2) = 1
  fft 6: mflops = 11.1292 (norm. = 1), norm. avg. (of 2) = 0.990066
  fft 7: mflops = 3.22362 (norm. = 0.289655), norm. avg. (of 2) = 0.30029
  fft 8: mflops = 4.9726 (norm. = 0.446809), norm. avg. (of 2) = 0.430108
  fft 9: mflops = 3.20154 (norm. = 0.287671), norm. avg. (of 2) = 0.217836
  fft 10: mflops = 4.58259 (norm. = 0.411765), norm. avg. (of 2) = 0.322971
  fft 11: mflops = 5.10846 (norm. = 0.459016), norm. avg. (of 2) = 0.360714
  fft 12: mflops = 5.66575 (norm. = 0.509091), norm. avg. (of 2) = 0.439545
  fft 13: mflops = 4.92026 (norm. = 0.442105), norm. avg. (of 2) = 0.379172
  fft 14: mflops = 2.71758 (norm. = 0.244186), norm. avg. (of 2) = 0.229029

Benchmarking for array size = 12:
0. Skipping fft (Brenner has a bug for N=3*2^m).
1. CWP (min N): elapsed time t=1.44 s, 65536 iters, t-(init.)=1.39 s
    t(norm)=0.493025, mflops=10.1415
2. CWP (best N) (N=15): elapsed time t=1.08 s, 32768 iters, t-(init.)=1.06 s
    t(norm)=0.751952, mflops=6.64936
3. FFTPACK: elapsed time t=1.6 s, 65536 iters, t-(init.)=1.55 s
    t(norm)=0.549776, mflops=9.09461 (err=2.0e-16)
4. FFTPACK (f2c): elapsed time t=1.68 s, 65536 iters, t-(init.)=1.64 s
    t(norm)=0.581699, mflops=8.59552 (err=2.6e-16)

FFTW_MEASURE plan: (cost = 1.525879e-05)
FFTW_NOTW 12

5. FFTW: elapsed time t=1.94 s, 131072 iters, t-(init.)=1.84 s
    t(norm)=0.326319, mflops=15.3224 (err=1.4e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.95 s, 131072 iters, t-(init.)=1.86 s
    t(norm)=0.329866, mflops=15.1577 (err=1.4e-16)
7. Frigo-old: elapsed time t=1.37 s, 32768 iters, t-(init.)=1.35 s
    t(norm)=0.957675, mflops=5.22098 (err=2.9e-16)
8. GSL: elapsed time t=1.11 s, 32768 iters, t-(init.)=1.08 s
    t(norm)=0.76614, mflops=6.52623 (err=3.2e-16)
9. Nielsen: elapsed time t=1.79 s, 32768 iters, t-(init.)=1.77 s
    t(norm)=1.25562, mflops=3.9821 (err=6.0e-16)
10. Singleton: elapsed time t=1.53 s, 32768 iters, t-(init.)=1.5 s
    t(norm)=1.06408, mflops=4.69888 (err=2.5e-16)
11. Singleton (f2c): elapsed time t=1.37 s, 32768 iters, t-(init.)=1.35 s
    t(norm)=0.957675, mflops=5.22098 (err=2.5e-16)
12. Temperton: elapsed time t=1.82 s, 65536 iters, t-(init.)=1.77 s
    t(norm)=0.627809, mflops=7.96421 (err=8.2e-09)
13. Temperton (f2c): elapsed time t=1.06 s, 32768 iters, t-(init.)=1.04 s
    t(norm)=0.737764, mflops=6.77723 (err=1.7e-16)
14. Valkenburg: elapsed time t=1.35 s, 16384 iters, t-(init.)=1.34 s
    t(norm)=1.90116, mflops=2.62997 (err=4.2e-16)

Top mflops for N=12 = 15.3224
Normalized results and averages for N=12:
  fft 0: mflops = -1 (norm. = -0.0652638), norm. avg. (of 1) = 0.21875
  fft 1: mflops = 10.1415 (norm. = 0.661871), norm. avg. (of 3) = 0.623718
  fft 2: mflops = 6.64936 (norm. = 0.433962), norm. avg. (of 3) = 0.338
  fft 3: mflops = 9.09461 (norm. = 0.593548), norm. avg. (of 3) = 0.60012
  fft 4: mflops = 8.59552 (norm. = 0.560976), norm. avg. (of 3) = 0.572996
  fft 5: mflops = 15.3224 (norm. = 1), norm. avg. (of 3) = 1
  fft 6: mflops = 15.1577 (norm. = 0.989247), norm. avg. (of 3) = 0.989793
  fft 7: mflops = 5.22098 (norm. = 0.340741), norm. avg. (of 3) = 0.313773
  fft 8: mflops = 6.52623 (norm. = 0.425926), norm. avg. (of 3) = 0.428714
  fft 9: mflops = 3.9821 (norm. = 0.259887), norm. avg. (of 3) = 0.231853
  fft 10: mflops = 4.69888 (norm. = 0.306667), norm. avg. (of 3) = 0.317536
  fft 11: mflops = 5.22098 (norm. = 0.340741), norm. avg. (of 3) = 0.354056
  fft 12: mflops = 7.96421 (norm. = 0.519774), norm. avg. (of 3) = 0.466288
  fft 13: mflops = 6.77723 (norm. = 0.442308), norm. avg. (of 3) = 0.400217
  fft 14: mflops = 2.62997 (norm. = 0.171642), norm. avg. (of 3) = 0.2099

Benchmarking for array size = 15:
0. Brenner: elapsed time t=1.64 s, 16384 iters, t-(init.)=1.63 s
    t(norm)=1.69764, mflops=2.94527 (err=4.1e-16)
1. CWP (min N): elapsed time t=1.11 s, 32768 iters, t-(init.)=1.09 s
    t(norm)=0.567615, mflops=8.80878
2. CWP (best N): elapsed time t=1.07 s, 32768 iters, t-(init.)=1.04 s
    t(norm)=0.541578, mflops=9.23228
3. FFTPACK: elapsed time t=1.18 s, 32768 iters, t-(init.)=1.15 s
    t(norm)=0.59886, mflops=8.3492 (err=1.4e-16)
4. FFTPACK (f2c): elapsed time t=1.31 s, 32768 iters, t-(init.)=1.29 s
    t(norm)=0.671765, mflops=7.44308 (err=3.0e-16)

FFTW_MEASURE plan: (cost = 2.441406e-05)
FFTW_NOTW 15

5. FFTW: elapsed time t=1.6 s, 65536 iters, t-(init.)=1.55 s
    t(norm)=0.40358, mflops=12.3891 (err=1.9e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.6 s, 65536 iters, t-(init.)=1.54 s
    t(norm)=0.400976, mflops=12.4696 (err=1.9e-16)
7. Frigo-old: elapsed time t=1.49 s, 16384 iters, t-(init.)=1.47 s
    t(norm)=1.531, mflops=3.26584 (err=2.6e-16)
8. GSL: elapsed time t=1.83 s, 32768 iters, t-(init.)=1.8 s
    t(norm)=0.937346, mflops=5.33421 (err=1.4e-16)
9. Nielsen: elapsed time t=1.11 s, 16384 iters, t-(init.)=1.1 s
    t(norm)=1.14565, mflops=4.36435 (err=4.3e-15)
10. Singleton: elapsed time t=1.99 s, 32768 iters, t-(init.)=1.96 s
    t(norm)=1.02067, mflops=4.89876 (err=2.2e-16)
11. Singleton (f2c): elapsed time t=1.85 s, 32768 iters, t-(init.)=1.82 s
    t(norm)=0.947761, mflops=5.27559 (err=2.2e-16)
12. Temperton: elapsed time t=1.31 s, 32768 iters, t-(init.)=1.28 s
    t(norm)=0.666557, mflops=7.50123 (err=1.0e-08)
13. Temperton (f2c): elapsed time t=1.47 s, 32768 iters, t-(init.)=1.44 s
    t(norm)=0.749877, mflops=6.66776 (err=1.8e-16)
14. Valkenburg: elapsed time t=1.92 s, 16384 iters, t-(init.)=1.91 s
    t(norm)=1.98926, mflops=2.5135 (err=2.2e-16)

Top mflops for N=15 = 12.4696
Normalized results and averages for N=15:
  fft 0: mflops = 2.94527 (norm. = 0.236196), norm. avg. (of 2) = 0.227473
  fft 1: mflops = 8.80878 (norm. = 0.706422), norm. avg. (of 4) = 0.644394
  fft 2: mflops = 9.23228 (norm. = 0.740385), norm. avg. (of 4) = 0.438596
  fft 3: mflops = 8.3492 (norm. = 0.669565), norm. avg. (of 4) = 0.617482
  fft 4: mflops = 7.44308 (norm. = 0.596899), norm. avg. (of 4) = 0.578972
  fft 5: mflops = 12.3891 (norm. = 0.993548), norm. avg. (of 4) = 0.998387
  fft 6: mflops = 12.4696 (norm. = 1), norm. avg. (of 4) = 0.992345
  fft 7: mflops = 3.26584 (norm. = 0.261905), norm. avg. (of 4) = 0.300806
  fft 8: mflops = 5.33421 (norm. = 0.427778), norm. avg. (of 4) = 0.42848
  fft 9: mflops = 4.36435 (norm. = 0.35), norm. avg. (of 4) = 0.26139
  fft 10: mflops = 4.89876 (norm. = 0.392857), norm. avg. (of 4) = 0.336366
  fft 11: mflops = 5.27559 (norm. = 0.423077), norm. avg. (of 4) = 0.371311
  fft 12: mflops = 7.50123 (norm. = 0.601562), norm. avg. (of 4) = 0.500107
  fft 13: mflops = 6.66776 (norm. = 0.534722), norm. avg. (of 4) = 0.433844
  fft 14: mflops = 2.5135 (norm. = 0.201571), norm. avg. (of 4) = 0.207818

Benchmarking for array size = 18:
0. Brenner: elapsed time t=1.1 s, 8192 iters, t-(init.)=1.09 s
    t(norm)=1.7727, mflops=2.82055 (err=4.1e-16)
1. CWP (min N): elapsed time t=1.37 s, 32768 iters, t-(init.)=1.34 s
    t(norm)=0.544821, mflops=9.17732
2. CWP (best N) (N=28): elapsed time t=1.03 s, 16384 iters, t-(init.)=1.01 s
    t(norm)=0.821298, mflops=6.08793
3. FFTPACK: elapsed time t=1.7 s, 32768 iters, t-(init.)=1.66 s
    t(norm)=0.674928, mflops=7.4082 (err=2.5e-16)
4. FFTPACK (f2c): elapsed time t=1.73 s, 32768 iters, t-(init.)=1.7 s
    t(norm)=0.691191, mflops=7.23389 (err=2.8e-16)

FFTW_MEASURE plan: (cost = 3.784180e-05)
FFTW_TWIDDLE 3
FFTW_NOTW 6

5. FFTW: elapsed time t=1.24 s, 32768 iters, t-(init.)=1.21 s
    t(norm)=0.491966, mflops=10.1633 (err=2.0e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.29 s, 32768 iters, t-(init.)=1.26 s
    t(norm)=0.512295, mflops=9.76001 (err=2.2e-16)
7. Frigo-old: elapsed time t=1.69 s, 16384 iters, t-(init.)=1.68 s
    t(norm)=1.36612, mflops=3.66 (err=3.5e-16)
8. GSL: elapsed time t=1.89 s, 32768 iters, t-(init.)=1.86 s
    t(norm)=0.756245, mflops=6.61162 (err=2.1e-16)
9. Nielsen: elapsed time t=1.69 s, 16384 iters, t-(init.)=1.67 s
    t(norm)=1.35799, mflops=3.68192 (err=8.7e-16)
10. Singleton: elapsed time t=1.2 s, 16384 iters, t-(init.)=1.19 s
    t(norm)=0.967668, mflops=5.16706 (err=2.1e-16)
11. Singleton (f2c): elapsed time t=1.07 s, 16384 iters, t-(init.)=1.05 s
    t(norm)=0.853824, mflops=5.856 (err=2.1e-16)
12. Temperton: elapsed time t=1.85 s, 32768 iters, t-(init.)=1.82 s
    t(norm)=0.739981, mflops=6.75693 (err=4.5e-08)
13. Temperton (f2c): elapsed time t=1.1 s, 16384 iters, t-(init.)=1.08 s
    t(norm)=0.878219, mflops=5.69334 (err=2.6e-16)
14. Valkenburg: elapsed time t=1.13 s, 8192 iters, t-(init.)=1.12 s
    t(norm)=1.82149, mflops=2.745 (err=4.2e-16)

Top mflops for N=18 = 10.1633
Normalized results and averages for N=18:
  fft 0: mflops = 2.82055 (norm. = 0.277523), norm. avg. (of 3) = 0.244156
  fft 1: mflops = 9.17732 (norm. = 0.902985), norm. avg. (of 5) = 0.696112
  fft 2: mflops = 6.08793 (norm. = 0.59901), norm. avg. (of 5) = 0.470679
  fft 3: mflops = 7.4082 (norm. = 0.728916), norm. avg. (of 5) = 0.639768
  fft 4: mflops = 7.23389 (norm. = 0.711765), norm. avg. (of 5) = 0.60553
  fft 5: mflops = 10.1633 (norm. = 1), norm. avg. (of 5) = 0.99871
  fft 6: mflops = 9.76001 (norm. = 0.960317), norm. avg. (of 5) = 0.985939
  fft 7: mflops = 3.66 (norm. = 0.360119), norm. avg. (of 5) = 0.312669
  fft 8: mflops = 6.61162 (norm. = 0.650538), norm. avg. (of 5) = 0.472892
  fft 9: mflops = 3.68192 (norm. = 0.362275), norm. avg. (of 5) = 0.281567
  fft 10: mflops = 5.16706 (norm. = 0.508403), norm. avg. (of 5) = 0.370774
  fft 11: mflops = 5.856 (norm. = 0.57619), norm. avg. (of 5) = 0.412287
  fft 12: mflops = 6.75693 (norm. = 0.664835), norm. avg. (of 5) = 0.533053
  fft 13: mflops = 5.69334 (norm. = 0.560185), norm. avg. (of 5) = 0.459112
  fft 14: mflops = 2.745 (norm. = 0.270089), norm. avg. (of 5) = 0.220272

Benchmarking for array size = 24:
0. Skipping fft (Brenner has a bug for N=3*2^m).
1. CWP (min N): elapsed time t=1.61 s, 32768 iters, t-(init.)=1.57 s
    t(norm)=0.435414, mflops=11.4833
2. CWP (best N) (N=28): elapsed time t=1.03 s, 16384 iters, t-(init.)=1.01 s
    t(norm)=0.560215, mflops=8.92515
3. FFTPACK: elapsed time t=1.07 s, 16384 iters, t-(init.)=1.05 s
    t(norm)=0.582401, mflops=8.58515 (err=1.7e-16)
4. FFTPACK (f2c): elapsed time t=1.11 s, 16384 iters, t-(init.)=1.09 s
    t(norm)=0.604588, mflops=8.27009 (err=2.5e-16)

FFTW_MEASURE plan: (cost = 4.638672e-05)
FFTW_TWIDDLE 2
FFTW_NOTW 12

5. FFTW: elapsed time t=1.48 s, 32768 iters, t-(init.)=1.44 s
    t(norm)=0.399361, mflops=12.52 (err=2.1e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.5 s, 32768 iters, t-(init.)=1.46 s
    t(norm)=0.404908, mflops=12.3485 (err=2.1e-16)
7. Frigo-old: elapsed time t=1.51 s, 16384 iters, t-(init.)=1.49 s
    t(norm)=0.826455, mflops=6.04993 (err=3.8e-16)
8. GSL: elapsed time t=1.21 s, 16384 iters, t-(init.)=1.19 s
    t(norm)=0.660055, mflops=7.57513 (err=2.1e-16)
9. Nielsen: elapsed time t=1.66 s, 16384 iters, t-(init.)=1.64 s
    t(norm)=0.909655, mflops=5.49659 (err=1.7e-15)
10. Singleton: elapsed time t=1.76 s, 16384 iters, t-(init.)=1.74 s
    t(norm)=0.965122, mflops=5.18069 (err=2.1e-16)
11. Singleton (f2c): elapsed time t=1.56 s, 16384 iters, t-(init.)=1.54 s
    t(norm)=0.854189, mflops=5.85351 (err=2.1e-16)
12. Temperton: elapsed time t=1.07 s, 16384 iters, t-(init.)=1.04 s
    t(norm)=0.576855, mflops=8.6677 (err=8.0e-09)
13. Temperton (f2c): elapsed time t=1.21 s, 16384 iters, t-(init.)=1.19 s
    t(norm)=0.660055, mflops=7.57513 (err=2.4e-16)
14. Valkenburg: elapsed time t=1.7 s, 8192 iters, t-(init.)=1.69 s
    t(norm)=1.87478, mflops=2.66698 (err=6.1e-16)

Top mflops for N=24 = 12.52
Normalized results and averages for N=24:
  fft 0: mflops = -1 (norm. = -0.0798722), norm. avg. (of 3) = 0.244156
  fft 1: mflops = 11.4833 (norm. = 0.917197), norm. avg. (of 6) = 0.73296
  fft 2: mflops = 8.92515 (norm. = 0.712871), norm. avg. (of 6) = 0.511044
  fft 3: mflops = 8.58515 (norm. = 0.685714), norm. avg. (of 6) = 0.647426
  fft 4: mflops = 8.27009 (norm. = 0.66055), norm. avg. (of 6) = 0.6147
  fft 5: mflops = 12.52 (norm. = 1), norm. avg. (of 6) = 0.998925
  fft 6: mflops = 12.3485 (norm. = 0.986301), norm. avg. (of 6) = 0.986
  fft 7: mflops = 6.04993 (norm. = 0.483221), norm. avg. (of 6) = 0.341094
  fft 8: mflops = 7.57513 (norm. = 0.605042), norm. avg. (of 6) = 0.494917
  fft 9: mflops = 5.49659 (norm. = 0.439024), norm. avg. (of 6) = 0.30781
  fft 10: mflops = 5.18069 (norm. = 0.413793), norm. avg. (of 6) = 0.377944
  fft 11: mflops = 5.85351 (norm. = 0.467532), norm. avg. (of 6) = 0.421495
  fft 12: mflops = 8.6677 (norm. = 0.692308), norm. avg. (of 6) = 0.559595
  fft 13: mflops = 7.57513 (norm. = 0.605042), norm. avg. (of 6) = 0.483434
  fft 14: mflops = 2.66698 (norm. = 0.213018), norm. avg. (of 6) = 0.219063

Benchmarking for array size = 36:
0. Brenner: elapsed time t=1.15 s, 4096 iters, t-(init.)=1.14 s
    t(norm)=1.4954, mflops=3.34358 (err=1.4e-15)
1. CWP (min N): elapsed time t=1.44 s, 16384 iters, t-(init.)=1.41 s
    t(norm)=0.462394, mflops=10.8133
2. CWP (best N): elapsed time t=1.44 s, 16384 iters, t-(init.)=1.41 s
    t(norm)=0.462394, mflops=10.8133
3. FFTPACK: elapsed time t=1.9 s, 16384 iters, t-(init.)=1.87 s
    t(norm)=0.613246, mflops=8.15333 (err=4.3e-16)
4. FFTPACK (f2c): elapsed time t=1.94 s, 16384 iters, t-(init.)=1.91 s
    t(norm)=0.626364, mflops=7.98258 (err=1.1e-15)

FFTW_MEASURE plan: (cost = 8.300781e-05)
FFTW_TWIDDLE 3
FFTW_NOTW 12

5. FFTW: elapsed time t=1.31 s, 16384 iters, t-(init.)=1.28 s
    t(norm)=0.419762, mflops=11.9115 (err=6.2e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.32 s, 16384 iters, t-(init.)=1.29 s
    t(norm)=0.423042, mflops=11.8192 (err=6.2e-16)
7. Frigo-old: elapsed time t=1.78 s, 8192 iters, t-(init.)=1.77 s
    t(norm)=1.1609, mflops=4.30699 (err=6.6e-16)
8. GSL: elapsed time t=1.97 s, 16384 iters, t-(init.)=1.94 s
    t(norm)=0.636202, mflops=7.85914 (err=4.2e-16)
9. Nielsen: elapsed time t=1.47 s, 8192 iters, t-(init.)=1.45 s
    t(norm)=0.951024, mflops=5.25749 (err=1.6e-15)
10. Singleton: elapsed time t=1.26 s, 8192 iters, t-(init.)=1.24 s
    t(norm)=0.813289, mflops=6.14787 (err=4.2e-16)
11. Singleton (f2c): elapsed time t=1.16 s, 8192 iters, t-(init.)=1.14 s
    t(norm)=0.747701, mflops=6.68716 (err=4.1e-16)
12. Temperton: elapsed time t=1.83 s, 16384 iters, t-(init.)=1.8 s
    t(norm)=0.590291, mflops=8.47041 (err=6.4e-08)
13. Temperton (f2c): elapsed time t=1.08 s, 8192 iters, t-(init.)=1.07 s
    t(norm)=0.70179, mflops=7.12464 (err=3.5e-16)
14. Valkenburg: elapsed time t=1.4 s, 4096 iters, t-(init.)=1.4 s
    t(norm)=1.83646, mflops=2.72263 (err=8.4e-16)

Top mflops for N=36 = 11.9115
Normalized results and averages for N=36:
  fft 0: mflops = 3.34358 (norm. = 0.280702), norm. avg. (of 4) = 0.253293
  fft 1: mflops = 10.8133 (norm. = 0.907801), norm. avg. (of 7) = 0.757937
  fft 2: mflops = 10.8133 (norm. = 0.907801), norm. avg. (of 7) = 0.567724
  fft 3: mflops = 8.15333 (norm. = 0.684492), norm. avg. (of 7) = 0.652721
  fft 4: mflops = 7.98258 (norm. = 0.670157), norm. avg. (of 7) = 0.622623
  fft 5: mflops = 11.9115 (norm. = 1), norm. avg. (of 7) = 0.999078
  fft 6: mflops = 11.8192 (norm. = 0.992248), norm. avg. (of 7) = 0.986892
  fft 7: mflops = 4.30699 (norm. = 0.361582), norm. avg. (of 7) = 0.344021
  fft 8: mflops = 7.85914 (norm. = 0.659794), norm. avg. (of 7) = 0.518471
  fft 9: mflops = 5.25749 (norm. = 0.441379), norm. avg. (of 7) = 0.326891
  fft 10: mflops = 6.14787 (norm. = 0.516129), norm. avg. (of 7) = 0.397684
  fft 11: mflops = 6.68716 (norm. = 0.561404), norm. avg. (of 7) = 0.441482
  fft 12: mflops = 8.47041 (norm. = 0.711111), norm. avg. (of 7) = 0.58124
  fft 13: mflops = 7.12464 (norm. = 0.598131), norm. avg. (of 7) = 0.499819
  fft 14: mflops = 2.72263 (norm. = 0.228571), norm. avg. (of 7) = 0.220421

Benchmarking for array size = 80:
0. Brenner: elapsed time t=1.12 s, 2048 iters, t-(init.)=1.11 s
    t(norm)=1.07165, mflops=4.6657 (err=5.1e-16)
1. CWP (min N): elapsed time t=1.73 s, 8192 iters, t-(init.)=1.7 s
    t(norm)=0.410317, mflops=12.1857
2. CWP (best N) (N=84): elapsed time t=1.95 s, 8192 iters, t-(init.)=1.91 s
    t(norm)=0.461003, mflops=10.8459
3. FFTPACK: elapsed time t=1.15 s, 4096 iters, t-(init.)=1.13 s
    t(norm)=0.54548, mflops=9.16624 (err=4.3e-16)
4. FFTPACK (f2c): elapsed time t=1.25 s, 4096 iters, t-(init.)=1.24 s
    t(norm)=0.59858, mflops=8.3531 (err=4.7e-16)

FFTW_MEASURE plan: (cost = 2.148438e-04)
FFTW_TWIDDLE 16
FFTW_NOTW 5

5. FFTW: elapsed time t=2 s, 8192 iters, t-(init.)=1.97 s
    t(norm)=0.475485, mflops=10.5156 (err=2.7e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.9 s, 8192 iters, t-(init.)=1.87 s
    t(norm)=0.451349, mflops=11.0779 (err=4.6e-16)
7. Frigo-old: elapsed time t=1.74 s, 4096 iters, t-(init.)=1.72 s
    t(norm)=0.830288, mflops=6.022 (err=3.3e-16)
8. GSL: elapsed time t=1.54 s, 4096 iters, t-(init.)=1.52 s
    t(norm)=0.733743, mflops=6.81437 (err=4.1e-16)
9. Nielsen: elapsed time t=1.53 s, 4096 iters, t-(init.)=1.52 s
    t(norm)=0.733743, mflops=6.81437 (err=8.1e-15)
10. Singleton: elapsed time t=1.42 s, 4096 iters, t-(init.)=1.4 s
    t(norm)=0.675816, mflops=7.39846 (err=4.3e-16)
11. Singleton (f2c): elapsed time t=1.37 s, 4096 iters, t-(init.)=1.35 s
    t(norm)=0.65168, mflops=7.67248 (err=3.5e-16)
12. Temperton: elapsed time t=1.11 s, 4096 iters, t-(init.)=1.1 s
    t(norm)=0.530998, mflops=9.41622 (err=1.7e-07)
13. Temperton (f2c): elapsed time t=1.29 s, 4096 iters, t-(init.)=1.28 s
    t(norm)=0.617889, mflops=8.09207 (err=4.0e-16)
14. Valkenburg: elapsed time t=1 s, 1024 iters, t-(init.)=1 s
    t(norm)=1.9309, mflops=2.58946 (err=5.4e-16)

Top mflops for N=80 = 12.1857
Normalized results and averages for N=80:
  fft 0: mflops = 4.6657 (norm. = 0.382883), norm. avg. (of 5) = 0.279211
  fft 1: mflops = 12.1857 (norm. = 1), norm. avg. (of 8) = 0.788195
  fft 2: mflops = 10.8459 (norm. = 0.890052), norm. avg. (of 8) = 0.608015
  fft 3: mflops = 9.16624 (norm. = 0.752212), norm. avg. (of 8) = 0.665158
  fft 4: mflops = 8.3531 (norm. = 0.685484), norm. avg. (of 8) = 0.63048
  fft 5: mflops = 10.5156 (norm. = 0.862944), norm. avg. (of 8) = 0.982062
  fft 6: mflops = 11.0779 (norm. = 0.909091), norm. avg. (of 8) = 0.977167
  fft 7: mflops = 6.022 (norm. = 0.494186), norm. avg. (of 8) = 0.362792
  fft 8: mflops = 6.81437 (norm. = 0.559211), norm. avg. (of 8) = 0.523563
  fft 9: mflops = 6.81437 (norm. = 0.559211), norm. avg. (of 8) = 0.355931
  fft 10: mflops = 7.39846 (norm. = 0.607143), norm. avg. (of 8) = 0.423867
  fft 11: mflops = 7.67248 (norm. = 0.62963), norm. avg. (of 8) = 0.465
  fft 12: mflops = 9.41622 (norm. = 0.772727), norm. avg. (of 8) = 0.605176
  fft 13: mflops = 8.09207 (norm. = 0.664063), norm. avg. (of 8) = 0.520349
  fft 14: mflops = 2.58946 (norm. = 0.2125), norm. avg. (of 8) = 0.219431

Benchmarking for array size = 108:
0. Brenner: elapsed time t=1.06 s, 1024 iters, t-(init.)=1.05 s
    t(norm)=1.40555, mflops=3.55732 (err=8.7e-16)
1. CWP (min N) (N=110): elapsed time t=1.55 s, 4096 iters, t-(init.)=1.53 s
    t(norm)=0.512023, mflops=9.76518
2. CWP (best N) (N=112): elapsed time t=1.31 s, 4096 iters, t-(init.)=1.28 s
    t(norm)=0.428359, mflops=11.6724
3. FFTPACK: elapsed time t=1.83 s, 4096 iters, t-(init.)=1.81 s
    t(norm)=0.605727, mflops=8.25455 (err=3.4e-16)
4. FFTPACK (f2c): elapsed time t=1.81 s, 4096 iters, t-(init.)=1.79 s
    t(norm)=0.599034, mflops=8.34678 (err=7.1e-16)

FFTW_MEASURE plan: (cost = 3.613281e-04)
FFTW_TWIDDLE 9
FFTW_NOTW 12

5. FFTW: elapsed time t=1.36 s, 4096 iters, t-(init.)=1.34 s
    t(norm)=0.448439, mflops=11.1498 (err=3.0e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.36 s, 4096 iters, t-(init.)=1.34 s
    t(norm)=0.448439, mflops=11.1498 (err=3.0e-16)
7. Frigo-old: elapsed time t=1.9 s, 2048 iters, t-(init.)=1.89 s
    t(norm)=1.265, mflops=3.95257 (err=5.6e-16)
8. GSL: elapsed time t=1 s, 2048 iters, t-(init.)=0.99 s
    t(norm)=0.662618, mflops=7.54582 (err=3.2e-16)
9. Nielsen: elapsed time t=1.27 s, 2048 iters, t-(init.)=1.26 s
    t(norm)=0.843332, mflops=5.92886 (err=1.2e-15)
10. Singleton: elapsed time t=1.21 s, 2048 iters, t-(init.)=1.2 s
    t(norm)=0.803174, mflops=6.2253 (err=3.3e-16)
11. Singleton (f2c): elapsed time t=1.08 s, 2048 iters, t-(init.)=1.07 s
    t(norm)=0.716163, mflops=6.98165 (err=3.3e-16)
12. Temperton: elapsed time t=1.83 s, 4096 iters, t-(init.)=1.81 s
    t(norm)=0.605727, mflops=8.25455 (err=1.0e-07)
13. Temperton (f2c): elapsed time t=1.08 s, 2048 iters, t-(init.)=1.07 s
    t(norm)=0.716163, mflops=6.98165 (err=3.1e-16)
14. Valkenburg: elapsed time t=1.35 s, 1024 iters, t-(init.)=1.34 s
    t(norm)=1.79375, mflops=2.78745 (err=6.6e-16)

Top mflops for N=108 = 11.6724
Normalized results and averages for N=108:
  fft 0: mflops = 3.55732 (norm. = 0.304762), norm. avg. (of 6) = 0.283469
  fft 1: mflops = 9.76518 (norm. = 0.836601), norm. avg. (of 9) = 0.793573
  fft 2: mflops = 11.6724 (norm. = 1), norm. avg. (of 9) = 0.651569
  fft 3: mflops = 8.25455 (norm. = 0.707182), norm. avg. (of 9) = 0.669827
  fft 4: mflops = 8.34678 (norm. = 0.715084), norm. avg. (of 9) = 0.639881
  fft 5: mflops = 11.1498 (norm. = 0.955224), norm. avg. (of 9) = 0.97908
  fft 6: mflops = 11.1498 (norm. = 0.955224), norm. avg. (of 9) = 0.974729
  fft 7: mflops = 3.95257 (norm. = 0.338624), norm. avg. (of 9) = 0.360106
  fft 8: mflops = 7.54582 (norm. = 0.646465), norm. avg. (of 9) = 0.537219
  fft 9: mflops = 5.92886 (norm. = 0.507937), norm. avg. (of 9) = 0.37282
  fft 10: mflops = 6.2253 (norm. = 0.533333), norm. avg. (of 9) = 0.43603
  fft 11: mflops = 6.98165 (norm. = 0.598131), norm. avg. (of 9) = 0.479792
  fft 12: mflops = 8.25455 (norm. = 0.707182), norm. avg. (of 9) = 0.61651
  fft 13: mflops = 6.98165 (norm. = 0.598131), norm. avg. (of 9) = 0.528992
  fft 14: mflops = 2.78745 (norm. = 0.238806), norm. avg. (of 9) = 0.221584

Benchmarking for array size = 210:
0. Brenner: elapsed time t=1.09 s, 512 iters, t-(init.)=1.09 s
    t(norm)=1.31415, mflops=3.80475 (err=6.2e-16)
1. CWP (min N): elapsed time t=1.56 s, 2048 iters, t-(init.)=1.54 s
    t(norm)=0.464171, mflops=10.7719
2. CWP (best N): elapsed time t=1.55 s, 2048 iters, t-(init.)=1.53 s
    t(norm)=0.461157, mflops=10.8423
3. FFTPACK: elapsed time t=1.1 s, 1024 iters, t-(init.)=1.09 s
    t(norm)=0.657073, mflops=7.6095 (err=3.7e-16)
4. FFTPACK (f2c): elapsed time t=1.2 s, 1024 iters, t-(init.)=1.19 s
    t(norm)=0.717355, mflops=6.97005 (err=4.2e-16)

FFTW_MEASURE plan: (cost = 7.812500e-04)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 3
FFTW_NOTW 7

5. FFTW: elapsed time t=1.61 s, 2048 iters, t-(init.)=1.59 s
    t(norm)=0.479242, mflops=10.4332 (err=2.8e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.73 s, 2048 iters, t-(init.)=1.71 s
    t(norm)=0.515411, mflops=9.701 (err=3.5e-16)
7. Frigo-old: elapsed time t=1.25 s, 512 iters, t-(init.)=1.24 s
    t(norm)=1.49499, mflops=3.3445 (err=4.6e-16)
8. GSL: elapsed time t=1.31 s, 1024 iters, t-(init.)=1.3 s
    t(norm)=0.783665, mflops=6.38027 (err=3.6e-16)
9. Nielsen: elapsed time t=1.31 s, 1024 iters, t-(init.)=1.3 s
    t(norm)=0.783665, mflops=6.38027 (err=8.6e-15)
10. Singleton: elapsed time t=1.37 s, 1024 iters, t-(init.)=1.36 s
    t(norm)=0.819835, mflops=6.09879 (err=3.4e-16)
11. Singleton (f2c): elapsed time t=1.23 s, 1024 iters, t-(init.)=1.22 s
    t(norm)=0.73544, mflops=6.79865 (err=3.4e-16)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1.77 s, 512 iters, t-(init.)=1.77 s
    t(norm)=2.13398, mflops=2.34304 (err=6.1e-16)

Top mflops for N=210 = 10.8423
Normalized results and averages for N=210:
  fft 0: mflops = 3.80475 (norm. = 0.350917), norm. avg. (of 7) = 0.293105
  fft 1: mflops = 10.7719 (norm. = 0.993506), norm. avg. (of 10) = 0.813567
  fft 2: mflops = 10.8423 (norm. = 1), norm. avg. (of 10) = 0.686412
  fft 3: mflops = 7.6095 (norm. = 0.701835), norm. avg. (of 10) = 0.673028
  fft 4: mflops = 6.97005 (norm. = 0.642857), norm. avg. (of 10) = 0.640178
  fft 5: mflops = 10.4332 (norm. = 0.962264), norm. avg. (of 10) = 0.977398
  fft 6: mflops = 9.701 (norm. = 0.894737), norm. avg. (of 10) = 0.96673
  fft 7: mflops = 3.3445 (norm. = 0.308468), norm. avg. (of 10) = 0.354943
  fft 8: mflops = 6.38027 (norm. = 0.588462), norm. avg. (of 10) = 0.542343
  fft 9: mflops = 6.38027 (norm. = 0.588462), norm. avg. (of 10) = 0.394385
  fft 10: mflops = 6.09879 (norm. = 0.5625), norm. avg. (of 10) = 0.448677
  fft 11: mflops = 6.79865 (norm. = 0.627049), norm. avg. (of 10) = 0.494518
  fft 12: mflops = -1 (norm. = -0.0922314), norm. avg. (of 9) = 0.61651
  fft 13: mflops = -1 (norm. = -0.0922314), norm. avg. (of 9) = 0.528992
  fft 14: mflops = 2.34304 (norm. = 0.216102), norm. avg. (of 10) = 0.221036

Benchmarking for array size = 504:
0. Brenner: elapsed time t=1.4 s, 256 iters, t-(init.)=1.39 s
    t(norm)=1.20005, mflops=4.16649 (err=6.6e-16)
1. CWP (min N): elapsed time t=1.04 s, 512 iters, t-(init.)=1.03 s
    t(norm)=0.444623, mflops=11.2455
2. CWP (best N): elapsed time t=1.04 s, 512 iters, t-(init.)=1.03 s
    t(norm)=0.444623, mflops=11.2455
3. FFTPACK: elapsed time t=1.57 s, 512 iters, t-(init.)=1.56 s
    t(norm)=0.67341, mflops=7.4249 (err=4.6e-16)
4. FFTPACK (f2c): elapsed time t=1.64 s, 512 iters, t-(init.)=1.63 s
    t(norm)=0.703627, mflops=7.10604 (err=6.0e-16)

FFTW_MEASURE plan: (cost = 2.187500e-03)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 8
FFTW_NOTW 7

5. FFTW: elapsed time t=1.12 s, 512 iters, t-(init.)=1.11 s
    t(norm)=0.479157, mflops=10.435 (err=4.5e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.14 s, 512 iters, t-(init.)=1.13 s
    t(norm)=0.48779, mflops=10.2503 (err=4.5e-16)
7. Frigo-old: elapsed time t=1.47 s, 256 iters, t-(init.)=1.47 s
    t(norm)=1.26912, mflops=3.93974 (err=6.0e-16)
8. GSL: elapsed time t=1.63 s, 512 iters, t-(init.)=1.62 s
    t(norm)=0.69931, mflops=7.1499 (err=5.7e-16)
9. Nielsen: elapsed time t=1.81 s, 512 iters, t-(init.)=1.8 s
    t(norm)=0.777011, mflops=6.43491 (err=5.4e-15)
10. Singleton: elapsed time t=1.84 s, 512 iters, t-(init.)=1.83 s
    t(norm)=0.789961, mflops=6.32942 (err=6.6e-16)
11. Singleton (f2c): elapsed time t=1.62 s, 512 iters, t-(init.)=1.6 s
    t(norm)=0.690677, mflops=7.23928 (err=6.6e-16)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1.17 s, 128 iters, t-(init.)=1.17 s
    t(norm)=2.02023, mflops=2.47497 (err=7.6e-16)

Top mflops for N=504 = 11.2455
Normalized results and averages for N=504:
  fft 0: mflops = 4.16649 (norm. = 0.370504), norm. avg. (of 8) = 0.30278
  fft 1: mflops = 11.2455 (norm. = 1), norm. avg. (of 11) = 0.830515
  fft 2: mflops = 11.2455 (norm. = 1), norm. avg. (of 11) = 0.71492
  fft 3: mflops = 7.4249 (norm. = 0.660256), norm. avg. (of 11) = 0.671867
  fft 4: mflops = 7.10604 (norm. = 0.631902), norm. avg. (of 11) = 0.639426
  fft 5: mflops = 10.435 (norm. = 0.927928), norm. avg. (of 11) = 0.972901
  fft 6: mflops = 10.2503 (norm. = 0.911504), norm. avg. (of 11) = 0.961709
  fft 7: mflops = 3.93974 (norm. = 0.35034), norm. avg. (of 11) = 0.354524
  fft 8: mflops = 7.1499 (norm. = 0.635802), norm. avg. (of 11) = 0.550839
  fft 9: mflops = 6.43491 (norm. = 0.572222), norm. avg. (of 11) = 0.410552
  fft 10: mflops = 6.32942 (norm. = 0.562842), norm. avg. (of 11) = 0.459055
  fft 11: mflops = 7.23928 (norm. = 0.64375), norm. avg. (of 11) = 0.508085
  fft 12: mflops = -1 (norm. = -0.0889246), norm. avg. (of 9) = 0.61651
  fft 13: mflops = -1 (norm. = -0.0889246), norm. avg. (of 9) = 0.528992
  fft 14: mflops = 2.47497 (norm. = 0.220085), norm. avg. (of 11) = 0.220949

Benchmarking for array size = 1000:
0. Brenner: elapsed time t=1.62 s, 128 iters, t-(init.)=1.61 s
    t(norm)=1.26213, mflops=3.96155 (err=8.0e-16)
1. CWP (min N) (N=1001): elapsed time t=1.43 s, 256 iters, t-(init.)=1.42 s
    t(norm)=0.556592, mflops=8.98324
2. CWP (best N) (N=1008): elapsed time t=1.17 s, 256 iters, t-(init.)=1.16 s
    t(norm)=0.454681, mflops=10.9967
3. FFTPACK: elapsed time t=1.68 s, 256 iters, t-(init.)=1.66 s
    t(norm)=0.650664, mflops=7.68446 (err=6.1e-16)
4. FFTPACK (f2c): elapsed time t=1.78 s, 256 iters, t-(init.)=1.77 s
    t(norm)=0.69378, mflops=7.20689 (err=7.8e-16)

FFTW_MEASURE plan: (cost = 4.843750e-03)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_NOTW 10

5. FFTW: elapsed time t=1.31 s, 256 iters, t-(init.)=1.3 s
    t(norm)=0.509556, mflops=9.81246 (err=6.3e-16)

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

6. FFTW_ESTIMATE: elapsed time t=1.31 s, 256 iters, t-(init.)=1.3 s
    t(norm)=0.509556, mflops=9.81246 (err=6.3e-16)
7. Frigo-old: elapsed time t=1.62 s, 128 iters, t-(init.)=1.61 s
    t(norm)=1.26213, mflops=3.96155 (err=6.3e-16)
8. GSL: elapsed time t=1.12 s, 128 iters, t-(init.)=1.11 s
    t(norm)=0.870165, mflops=5.74604 (err=6.3e-16)
9. Nielsen: elapsed time t=1.73 s, 256 iters, t-(init.)=1.72 s
    t(norm)=0.674182, mflops=7.4164 (err=1.3e-14)
10. Singleton: elapsed time t=1.65 s, 256 iters, t-(init.)=1.63 s
    t(norm)=0.638905, mflops=7.82589 (err=9.0e-16)
11. Singleton (f2c): elapsed time t=1.56 s, 256 iters, t-(init.)=1.55 s
    t(norm)=0.607548, mflops=8.22981 (err=9.1e-16)
12. Temperton: elapsed time t=1.64 s, 256 iters, t-(init.)=1.63 s
    t(norm)=0.638905, mflops=7.82589 (err=1.1e-07)
13. Temperton (f2c): elapsed time t=1.87 s, 256 iters, t-(init.)=1.85 s
    t(norm)=0.725137, mflops=6.89525 (err=6.4e-16)
14. Valkenburg: elapsed time t=1.31 s, 64 iters, t-(init.)=1.31 s
    t(norm)=2.0539, mflops=2.43439 (err=7.2e-16)

Top mflops for N=1000 = 10.9967
Normalized results and averages for N=1000:
  fft 0: mflops = 3.96155 (norm. = 0.360248), norm. avg. (of 9) = 0.309165
  fft 1: mflops = 8.98324 (norm. = 0.816901), norm. avg. (of 12) = 0.829381
  fft 2: mflops = 10.9967 (norm. = 1), norm. avg. (of 12) = 0.738677
  fft 3: mflops = 7.68446 (norm. = 0.698795), norm. avg. (of 12) = 0.674111
  fft 4: mflops = 7.20689 (norm. = 0.655367), norm. avg. (of 12) = 0.640754
  fft 5: mflops = 9.81246 (norm. = 0.892308), norm. avg. (of 12) = 0.966185
  fft 6: mflops = 9.81246 (norm. = 0.892308), norm. avg. (of 12) = 0.955926
  fft 7: mflops = 3.96155 (norm. = 0.360248), norm. avg. (of 12) = 0.355001
  fft 8: mflops = 5.74604 (norm. = 0.522523), norm. avg. (of 12) = 0.54848
  fft 9: mflops = 7.4164 (norm. = 0.674419), norm. avg. (of 12) = 0.432541
  fft 10: mflops = 7.82589 (norm. = 0.711656), norm. avg. (of 12) = 0.480105
  fft 11: mflops = 8.22981 (norm. = 0.748387), norm. avg. (of 12) = 0.52811
  fft 12: mflops = 7.82589 (norm. = 0.711656), norm. avg. (of 10) = 0.626025
  fft 13: mflops = 6.89525 (norm. = 0.627027), norm. avg. (of 10) = 0.538795
  fft 14: mflops = 2.43439 (norm. = 0.221374), norm. avg. (of 12) = 0.220985

Benchmarking for array size = 1960:
0. Brenner: elapsed time t=1.81 s, 64 iters, t-(init.)=1.79 s
    t(norm)=1.30477, mflops=3.8321 (err=7.3e-16)
1. CWP (min N) (N=1980): elapsed time t=1.42 s, 128 iters, t-(init.)=1.38 s
    t(norm)=0.502955, mflops=9.94125
2. CWP (best N) (N=1980): elapsed time t=1.42 s, 128 iters, t-(init.)=1.38 s
    t(norm)=0.502955, mflops=9.94125
3. FFTPACK: elapsed time t=1.08 s, 64 iters, t-(init.)=1.06 s
    t(norm)=0.772656, mflops=6.47119 (err=5.6e-16)
4. FFTPACK (f2c): elapsed time t=1.17 s, 64 iters, t-(init.)=1.15 s
    t(norm)=0.838258, mflops=5.96475 (err=6.3e-16)

FFTW_MEASURE plan: (cost = 1.062500e-02)
FFTW_TWIDDLE 5
FFTW_TWIDDLE 8
FFTW_TWIDDLE 7
FFTW_NOTW 7

5. FFTW: elapsed time t=1.46 s, 128 iters, t-(init.)=1.42 s
    t(norm)=0.517534, mflops=9.66121 (err=5.6e-16)

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=1.52 s, 128 iters, t-(init.)=1.48 s
    t(norm)=0.539401, mflops=9.26954 (err=5.6e-16)
7. Frigo-old: elapsed time t=1.94 s, 64 iters, t-(init.)=1.92 s
    t(norm)=1.39953, mflops=3.57264 (err=6.9e-16)
8. GSL: elapsed time t=1.14 s, 64 iters, t-(init.)=1.12 s
    t(norm)=0.816391, mflops=6.12452 (err=7.0e-16)
9. Nielsen: elapsed time t=1.1 s, 64 iters, t-(init.)=1.07 s
    t(norm)=0.779945, mflops=6.41071 (err=1.5e-14)
10. Singleton: elapsed time t=1.02 s, 64 iters, t-(init.)=1 s
    t(norm)=0.72892, mflops=6.85946 (err=7.7e-16)
11. Singleton (f2c): elapsed time t=1.87 s, 128 iters, t-(init.)=1.83 s
    t(norm)=0.666962, mflops=7.49668 (err=7.7e-16)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1.56 s, 32 iters, t-(init.)=1.55 s
    t(norm)=2.25965, mflops=2.21273 (err=6.1e-16)

Top mflops for N=1960 = 9.94125
Normalized results and averages for N=1960:
  fft 0: mflops = 3.8321 (norm. = 0.385475), norm. avg. (of 10) = 0.316796
  fft 1: mflops = 9.94125 (norm. = 1), norm. avg. (of 13) = 0.842505
  fft 2: mflops = 9.94125 (norm. = 1), norm. avg. (of 13) = 0.758778
  fft 3: mflops = 6.47119 (norm. = 0.650943), norm. avg. (of 13) = 0.672329
  fft 4: mflops = 5.96475 (norm. = 0.6), norm. avg. (of 13) = 0.637619
  fft 5: mflops = 9.66121 (norm. = 0.971831), norm. avg. (of 13) = 0.966619
  fft 6: mflops = 9.26954 (norm. = 0.932432), norm. avg. (of 13) = 0.954119
  fft 7: mflops = 3.57264 (norm. = 0.359375), norm. avg. (of 13) = 0.355338
  fft 8: mflops = 6.12452 (norm. = 0.616071), norm. avg. (of 13) = 0.553679
  fft 9: mflops = 6.41071 (norm. = 0.64486), norm. avg. (of 13) = 0.448873
  fft 10: mflops = 6.85946 (norm. = 0.69), norm. avg. (of 13) = 0.496251
  fft 11: mflops = 7.49668 (norm. = 0.754098), norm. avg. (of 13) = 0.545494
  fft 12: mflops = -1 (norm. = -0.100591), norm. avg. (of 10) = 0.626025
  fft 13: mflops = -1 (norm. = -0.100591), norm. avg. (of 10) = 0.538795
  fft 14: mflops = 2.21273 (norm. = 0.222581), norm. avg. (of 13) = 0.221108

Benchmarking for array size = 4725:
0. Brenner: elapsed time t=1.3 s, 16 iters, t-(init.)=1.29 s
    t(norm)=1.39795, mflops=3.57667 (err=1.4e-15)
1. CWP (min N) (N=5005): elapsed time t=1.1 s, 32 iters, t-(init.)=1.08 s
    t(norm)=0.585188, mflops=8.54427
2. CWP (best N) (N=5040): elapsed time t=1.86 s, 64 iters, t-(init.)=1.81 s
    t(norm)=0.490366, mflops=10.1965
3. FFTPACK: elapsed time t=1.41 s, 32 iters, t-(init.)=1.39 s
    t(norm)=0.753158, mflops=6.63871 (err=1.2e-15)
4. FFTPACK (f2c): elapsed time t=1.46 s, 32 iters, t-(init.)=1.44 s
    t(norm)=0.78025, mflops=6.4082 (err=1.3e-15)

FFTW_MEASURE plan: (cost = 3.125000e-02)
FFTW_TWIDDLE 5
FFTW_TWIDDLE 9
FFTW_TWIDDLE 3
FFTW_TWIDDLE 5
FFTW_NOTW 7

5. FFTW: elapsed time t=1.04 s, 32 iters, t-(init.)=1.02 s
    t(norm)=0.552677, mflops=9.04687 (err=1.2e-15)

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

6. FFTW_ESTIMATE: elapsed time t=1.07 s, 32 iters, t-(init.)=1.05 s
    t(norm)=0.568932, mflops=8.78839 (err=1.2e-15)
7. Frigo-old: elapsed time t=1.63 s, 16 iters, t-(init.)=1.62 s
    t(norm)=1.75556, mflops=2.84809 (err=1.3e-15)
8. GSL: elapsed time t=1.51 s, 32 iters, t-(init.)=1.49 s
    t(norm)=0.807342, mflops=6.19316 (err=1.3e-15)
9. Nielsen: elapsed time t=1.55 s, 32 iters, t-(init.)=1.53 s
    t(norm)=0.829016, mflops=6.03125 (err=4.3e-14)
10. Singleton: elapsed time t=1.51 s, 32 iters, t-(init.)=1.49 s
    t(norm)=0.807342, mflops=6.19316 (err=1.8e-15)
11. Singleton (f2c): elapsed time t=1.41 s, 32 iters, t-(init.)=1.39 s
    t(norm)=0.753158, mflops=6.63871 (err=1.8e-15)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=1 s, 8 iters, t-(init.)=1 s
    t(norm)=2.16736, mflops=2.30695 (err=1.3e-15)

Top mflops for N=4725 = 10.1965
Normalized results and averages for N=4725:
  fft 0: mflops = 3.57667 (norm. = 0.350775), norm. avg. (of 11) = 0.319885
  fft 1: mflops = 8.54427 (norm. = 0.837963), norm. avg. (of 14) = 0.842181
  fft 2: mflops = 10.1965 (norm. = 1), norm. avg. (of 14) = 0.776008
  fft 3: mflops = 6.63871 (norm. = 0.651079), norm. avg. (of 14) = 0.670811
  fft 4: mflops = 6.4082 (norm. = 0.628472), norm. avg. (of 14) = 0.636966
  fft 5: mflops = 9.04687 (norm. = 0.887255), norm. avg. (of 14) = 0.96095
  fft 6: mflops = 8.78839 (norm. = 0.861905), norm. avg. (of 14) = 0.947532
  fft 7: mflops = 2.84809 (norm. = 0.279321), norm. avg. (of 14) = 0.349908
  fft 8: mflops = 6.19316 (norm. = 0.607383), norm. avg. (of 14) = 0.557515
  fft 9: mflops = 6.03125 (norm. = 0.591503), norm. avg. (of 14) = 0.459061
  fft 10: mflops = 6.19316 (norm. = 0.607383), norm. avg. (of 14) = 0.504189
  fft 11: mflops = 6.63871 (norm. = 0.651079), norm. avg. (of 14) = 0.553035
  fft 12: mflops = -1 (norm. = -0.0980731), norm. avg. (of 10) = 0.626025
  fft 13: mflops = -1 (norm. = -0.0980731), norm. avg. (of 10) = 0.538795
  fft 14: mflops = 2.30695 (norm. = 0.22625), norm. avg. (of 14) = 0.221475

Benchmarking for array size = 10368:
0. Brenner: elapsed time t=1.38 s, 8 iters, t-(init.)=1.36 s
    t(norm)=1.22914, mflops=4.06787 (err=1.1e-15)
1. CWP (min N) (N=10920): elapsed time t=1.19 s, 16 iters, t-(init.)=1.16 s
    t(norm)=0.524194, mflops=9.53845
2. CWP (best N) (N=11088): elapsed time t=1.18 s, 16 iters, t-(init.)=1.16 s
    t(norm)=0.524194, mflops=9.53845
3. FFTPACK: elapsed time t=1.46 s, 16 iters, t-(init.)=1.44 s
    t(norm)=0.650724, mflops=7.68375 (err=9.9e-16)
4. FFTPACK (f2c): elapsed time t=1.47 s, 16 iters, t-(init.)=1.45 s
    t(norm)=0.655243, mflops=7.63076 (err=1.1e-15)

FFTW_MEASURE plan: (cost = 7.250000e-02)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 9
FFTW_TWIDDLE 3
FFTW_NOTW 12

5. FFTW: elapsed time t=1.12 s, 16 iters, t-(init.)=1.1 s
    t(norm)=0.497081, mflops=10.0587 (err=9.1e-16)

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=1.2 s, 16 iters, t-(init.)=1.18 s
    t(norm)=0.533232, mflops=9.37678 (err=9.4e-16)
7. Frigo-old: elapsed time t=1.23 s, 8 iters, t-(init.)=1.22 s
    t(norm)=1.10262, mflops=4.53467 (err=1.0e-15)
8. GSL: elapsed time t=1.43 s, 16 iters, t-(init.)=1.41 s
    t(norm)=0.637167, mflops=7.84724 (err=9.4e-16)
9. Nielsen: elapsed time t=1.9 s, 16 iters, t-(init.)=1.88 s
    t(norm)=0.849556, mflops=5.88543 (err=1.1e-14)
10. Singleton: elapsed time t=1.84 s, 16 iters, t-(init.)=1.82 s
    t(norm)=0.822442, mflops=6.07945 (err=1.3e-15)
11. Singleton (f2c): elapsed time t=1.7 s, 16 iters, t-(init.)=1.68 s
    t(norm)=0.759178, mflops=6.58607 (err=1.3e-15)
12. Temperton: elapsed time t=1.59 s, 16 iters, t-(init.)=1.57 s
    t(norm)=0.70947, mflops=7.04752 (err=2.2e-07)
13. Temperton (f2c): elapsed time t=1.83 s, 16 iters, t-(init.)=1.81 s
    t(norm)=0.817923, mflops=6.11304 (err=9.7e-16)
14. Valkenburg: elapsed time t=1.11 s, 4 iters, t-(init.)=1.11 s
    t(norm)=2.0064, mflops=2.49203 (err=1.3e-15)

Top mflops for N=10368 = 10.0587
Normalized results and averages for N=10368:
  fft 0: mflops = 4.06787 (norm. = 0.404412), norm. avg. (of 12) = 0.326929
  fft 1: mflops = 9.53845 (norm. = 0.948276), norm. avg. (of 15) = 0.849254
  fft 2: mflops = 9.53845 (norm. = 0.948276), norm. avg. (of 15) = 0.787493
  fft 3: mflops = 7.68375 (norm. = 0.763889), norm. avg. (of 15) = 0.677016
  fft 4: mflops = 7.63076 (norm. = 0.758621), norm. avg. (of 15) = 0.645076
  fft 5: mflops = 10.0587 (norm. = 1), norm. avg. (of 15) = 0.963553
  fft 6: mflops = 9.37678 (norm. = 0.932203), norm. avg. (of 15) = 0.94651
  fft 7: mflops = 4.53467 (norm. = 0.45082), norm. avg. (of 15) = 0.356635
  fft 8: mflops = 7.84724 (norm. = 0.780142), norm. avg. (of 15) = 0.572357
  fft 9: mflops = 5.88543 (norm. = 0.585106), norm. avg. (of 15) = 0.467464
  fft 10: mflops = 6.07945 (norm. = 0.604396), norm. avg. (of 15) = 0.51087
  fft 11: mflops = 6.58607 (norm. = 0.654762), norm. avg. (of 15) = 0.559817
  fft 12: mflops = 7.04752 (norm. = 0.700637), norm. avg. (of 11) = 0.632808
  fft 13: mflops = 6.11304 (norm. = 0.607735), norm. avg. (of 11) = 0.545063
  fft 14: mflops = 2.49203 (norm. = 0.247748), norm. avg. (of 15) = 0.223226

Benchmarking for array size = 27000:
0. Brenner: elapsed time t=1.16 s, 2 iters, t-(init.)=1.15 s
    t(norm)=1.44669, mflops=3.45616 (err=3.6e-15)
1. CWP (min N) (N=27720): elapsed time t=1.67 s, 8 iters, t-(init.)=1.64 s
    t(norm)=0.515778, mflops=9.6941
2. CWP (best N) (N=27720): elapsed time t=1.67 s, 8 iters, t-(init.)=1.63 s
    t(norm)=0.512633, mflops=9.75357
3. FFTPACK: elapsed time t=1.12 s, 4 iters, t-(init.)=1.1 s
    t(norm)=0.691897, mflops=7.22651 (err=3.4e-15)
4. FFTPACK (f2c): elapsed time t=1.16 s, 4 iters, t-(init.)=1.15 s
    t(norm)=0.723347, mflops=6.91232 (err=3.5e-15)

FFTW_MEASURE plan: (cost = 2.200000e-01)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_TWIDDLE 6
FFTW_TWIDDLE 9
FFTW_NOTW 5

5. FFTW: elapsed time t=1.93 s, 8 iters, t-(init.)=1.89 s
    t(norm)=0.594402, mflops=8.41181 (err=3.5e-15)

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

6. FFTW_ESTIMATE: elapsed time t=1.82 s, 8 iters, t-(init.)=1.79 s
    t(norm)=0.562952, mflops=8.88175 (err=3.5e-15)
7. Frigo-old: elapsed time t=1.21 s, 2 iters, t-(init.)=1.21 s
    t(norm)=1.52217, mflops=3.28478 (err=3.6e-15)
8. GSL: elapsed time t=1.24 s, 4 iters, t-(init.)=1.22 s
    t(norm)=0.767376, mflops=6.51571 (err=3.4e-15)
9. Nielsen: elapsed time t=1.27 s, 4 iters, t-(init.)=1.25 s
    t(norm)=0.786246, mflops=6.35933 (err=2.0e-13)
10. Singleton: elapsed time t=1.35 s, 4 iters, t-(init.)=1.33 s
    t(norm)=0.836566, mflops=5.97681 (err=5.0e-15)
11. Singleton (f2c): elapsed time t=1.26 s, 4 iters, t-(init.)=1.24 s
    t(norm)=0.779956, mflops=6.41062 (err=5.0e-15)
12. Temperton: elapsed time t=1.2 s, 4 iters, t-(init.)=1.18 s
    t(norm)=0.742217, mflops=6.73658 (err=1.4e-07)
13. Temperton (f2c): elapsed time t=1.38 s, 4 iters, t-(init.)=1.36 s
    t(norm)=0.855436, mflops=5.84497 (err=3.6e-15)
14. Valkenburg: elapsed time t=1.74 s, 2 iters, t-(init.)=1.73 s
    t(norm)=2.17633, mflops=2.29745 (err=3.4e-15)

Top mflops for N=27000 = 9.75357
Normalized results and averages for N=27000:
  fft 0: mflops = 3.45616 (norm. = 0.354348), norm. avg. (of 13) = 0.329038
  fft 1: mflops = 9.6941 (norm. = 0.993902), norm. avg. (of 16) = 0.858294
  fft 2: mflops = 9.75357 (norm. = 1), norm. avg. (of 16) = 0.800775
  fft 3: mflops = 7.22651 (norm. = 0.740909), norm. avg. (of 16) = 0.681009
  fft 4: mflops = 6.91232 (norm. = 0.708696), norm. avg. (of 16) = 0.649053
  fft 5: mflops = 8.41181 (norm. = 0.862434), norm. avg. (of 16) = 0.957233
  fft 6: mflops = 8.88175 (norm. = 0.910615), norm. avg. (of 16) = 0.944267
  fft 7: mflops = 3.28478 (norm. = 0.336777), norm. avg. (of 16) = 0.355394
  fft 8: mflops = 6.51571 (norm. = 0.668033), norm. avg. (of 16) = 0.578336
  fft 9: mflops = 6.35933 (norm. = 0.652), norm. avg. (of 16) = 0.478997
  fft 10: mflops = 5.97681 (norm. = 0.612782), norm. avg. (of 16) = 0.517239
  fft 11: mflops = 6.41062 (norm. = 0.657258), norm. avg. (of 16) = 0.565907
  fft 12: mflops = 6.73658 (norm. = 0.690678), norm. avg. (of 12) = 0.63763
  fft 13: mflops = 5.84497 (norm. = 0.599265), norm. avg. (of 12) = 0.549579
  fft 14: mflops = 2.29745 (norm. = 0.235549), norm. avg. (of 16) = 0.223997

Benchmarking for array size = 75600:
0. Brenner: elapsed time t=1.84 s, 1 iters, t-(init.)=1.83 s
    t(norm)=1.49366, mflops=3.34749 (err=4.7e-15)
1. CWP (min N) (N=80080): elapsed time t=1.39 s, 2 iters, t-(init.)=1.35 s
    t(norm)=0.550939, mflops=9.07542
2. CWP (best N) (N=80080): elapsed time t=1.37 s, 2 iters, t-(init.)=1.33 s
    t(norm)=0.542777, mflops=9.21189
3. FFTPACK: elapsed time t=1.95 s, 2 iters, t-(init.)=1.92 s
    t(norm)=0.783558, mflops=6.38115 (err=4.7e-15)
4. FFTPACK (f2c): elapsed time t=1 s, 1 iters, t-(init.)=0.99 s
    t(norm)=0.808044, mflops=6.18778 (err=4.7e-15)

FFTW_MEASURE plan: (cost = 6.800000e-01)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 6
FFTW_TWIDDLE 10
FFTW_TWIDDLE 3
FFTW_TWIDDLE 6
FFTW_NOTW 7

5. FFTW: elapsed time t=1.29 s, 2 iters, t-(init.)=1.25 s
    t(norm)=0.510129, mflops=9.80145 (err=4.6e-15)

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

6. FFTW_ESTIMATE: elapsed time t=1.42 s, 2 iters, t-(init.)=1.38 s
    t(norm)=0.563182, mflops=8.87812 (err=4.7e-15)
7. Frigo-old: elapsed time t=1.91 s, 1 iters, t-(init.)=1.89 s
    t(norm)=1.54263, mflops=3.24122 (err=4.7e-15)
8. GSL: elapsed time t=1.93 s, 2 iters, t-(init.)=1.9 s
    t(norm)=0.775396, mflops=6.44832 (err=4.7e-15)
9. Nielsen: elapsed time t=1.07 s, 1 iters, t-(init.)=1.05 s
    t(norm)=0.857016, mflops=5.8342 (err=4.8e-13)
10. Singleton: elapsed time t=1.09 s, 1 iters, t-(init.)=1.07 s
    t(norm)=0.87334, mflops=5.72515 (err=6.1e-15)
11. Singleton (f2c): elapsed time t=1.04 s, 1 iters, t-(init.)=1.03 s
    t(norm)=0.840692, mflops=5.94748 (err=6.1e-15)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=2.89 s, 1 iters, t-(init.)=2.87 s
    t(norm)=2.34251, mflops=2.13446 (err=4.5e-15)

Top mflops for N=75600 = 9.80145
Normalized results and averages for N=75600:
  fft 0: mflops = 3.34749 (norm. = 0.34153), norm. avg. (of 14) = 0.32993
  fft 1: mflops = 9.07542 (norm. = 0.925926), norm. avg. (of 17) = 0.862273
  fft 2: mflops = 9.21189 (norm. = 0.93985), norm. avg. (of 17) = 0.808956
  fft 3: mflops = 6.38115 (norm. = 0.651042), norm. avg. (of 17) = 0.679247
  fft 4: mflops = 6.18778 (norm. = 0.631313), norm. avg. (of 17) = 0.648009
  fft 5: mflops = 9.80145 (norm. = 1), norm. avg. (of 17) = 0.959749
  fft 6: mflops = 8.87812 (norm. = 0.905797), norm. avg. (of 17) = 0.942004
  fft 7: mflops = 3.24122 (norm. = 0.330688), norm. avg. (of 17) = 0.353941
  fft 8: mflops = 6.44832 (norm. = 0.657895), norm. avg. (of 17) = 0.583016
  fft 9: mflops = 5.8342 (norm. = 0.595238), norm. avg. (of 17) = 0.485835
  fft 10: mflops = 5.72515 (norm. = 0.584112), norm. avg. (of 17) = 0.521173
  fft 11: mflops = 5.94748 (norm. = 0.606796), norm. avg. (of 17) = 0.568312
  fft 12: mflops = -1 (norm. = -0.102026), norm. avg. (of 12) = 0.63763
  fft 13: mflops = -1 (norm. = -0.102026), norm. avg. (of 12) = 0.549579
  fft 14: mflops = 2.13446 (norm. = 0.21777), norm. avg. (of 17) = 0.22363

Benchmarking for array size = 165375:
0. Brenner: elapsed time t=4.67 s, 1 iters, t-(init.)=4.63 s
    t(norm)=1.61502, mflops=3.09594 (err=1.2e-14)
1. CWP (min N) (N=180180): elapsed time t=1.73 s, 1 iters, t-(init.)=1.69 s
    t(norm)=0.589499, mflops=8.48177
2. CWP (best N) (N=180180): elapsed time t=1.73 s, 1 iters, t-(init.)=1.7 s
    t(norm)=0.592988, mflops=8.43188
3. FFTPACK: elapsed time t=2.76 s, 1 iters, t-(init.)=2.72 s
    t(norm)=0.94878, mflops=5.26992 (err=1.2e-14)
4. FFTPACK (f2c): elapsed time t=2.83 s, 1 iters, t-(init.)=2.8 s
    t(norm)=0.976686, mflops=5.11935 (err=1.2e-14)

FFTW_MEASURE plan: (cost = 1.770000e+00)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 3
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_NOTW 7

5. FFTW: elapsed time t=1.69 s, 1 iters, t-(init.)=1.66 s
    t(norm)=0.579035, mflops=8.63506 (err=1.2e-14)

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

6. FFTW_ESTIMATE: elapsed time t=1.81 s, 1 iters, t-(init.)=1.78 s
    t(norm)=0.620893, mflops=8.05292 (err=1.2e-14)
7. Frigo-old: elapsed time t=5.69 s, 1 iters, t-(init.)=5.66 s
    t(norm)=1.9743, mflops=2.53254 (err=1.2e-14)
8. GSL: elapsed time t=2.42 s, 1 iters, t-(init.)=2.38 s
    t(norm)=0.830183, mflops=6.02277 (err=1.2e-14)
9. Nielsen: elapsed time t=2.73 s, 1 iters, t-(init.)=2.7 s
    t(norm)=0.941804, mflops=5.30896 (err=1.7e-12)
10. Singleton: elapsed time t=2.61 s, 1 iters, t-(init.)=2.57 s
    t(norm)=0.896458, mflops=5.57751 (err=1.8e-14)
11. Singleton (f2c): elapsed time t=2.41 s, 1 iters, t-(init.)=2.37 s
    t(norm)=0.826695, mflops=6.04818 (err=1.8e-14)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=7.31 s, 1 iters, t-(init.)=7.27 s
    t(norm)=2.53589, mflops=1.97169 (err=1.2e-14)

Top mflops for N=165375 = 8.63506
Normalized results and averages for N=165375:
  fft 0: mflops = 3.09594 (norm. = 0.358531), norm. avg. (of 15) = 0.331837
  fft 1: mflops = 8.48177 (norm. = 0.982249), norm. avg. (of 18) = 0.868938
  fft 2: mflops = 8.43188 (norm. = 0.976471), norm. avg. (of 18) = 0.818262
  fft 3: mflops = 5.26992 (norm. = 0.610294), norm. avg. (of 18) = 0.675416
  fft 4: mflops = 5.11935 (norm. = 0.592857), norm. avg. (of 18) = 0.644945
  fft 5: mflops = 8.63506 (norm. = 1), norm. avg. (of 18) = 0.961985
  fft 6: mflops = 8.05292 (norm. = 0.932584), norm. avg. (of 18) = 0.94148
  fft 7: mflops = 2.53254 (norm. = 0.293286), norm. avg. (of 18) = 0.350571
  fft 8: mflops = 6.02277 (norm. = 0.697479), norm. avg. (of 18) = 0.589375
  fft 9: mflops = 5.30896 (norm. = 0.614815), norm. avg. (of 18) = 0.493001
  fft 10: mflops = 5.57751 (norm. = 0.645914), norm. avg. (of 18) = 0.528103
  fft 11: mflops = 6.04818 (norm. = 0.700422), norm. avg. (of 18) = 0.575652
  fft 12: mflops = -1 (norm. = -0.115807), norm. avg. (of 12) = 0.63763
  fft 13: mflops = -1 (norm. = -0.115807), norm. avg. (of 12) = 0.549579
  fft 14: mflops = 1.97169 (norm. = 0.228336), norm. avg. (of 18) = 0.223892

Benchmarking for array size = 362880:
0. Brenner: elapsed time t=10.01 s, 1 iters, t-(init.)=9.93 s
    t(norm)=1.48163, mflops=3.37466 (err=7.7e-15)
1. CWP (min N) (N=720720): elapsed time t=7.5 s, 1 iters, t-(init.)=7.34 s
    t(norm)=1.09518, mflops=4.56545
2. CWP (best N) (N=720720): elapsed time t=7.5 s, 1 iters, t-(init.)=7.35 s
    t(norm)=1.09667, mflops=4.55924
3. FFTPACK: elapsed time t=5.4 s, 1 iters, t-(init.)=5.32 s
    t(norm)=0.793784, mflops=6.29895 (err=7.5e-15)
4. FFTPACK (f2c): elapsed time t=5.41 s, 1 iters, t-(init.)=5.33 s
    t(norm)=0.795276, mflops=6.28713 (err=7.5e-15)

FFTW_MEASURE plan: (cost = 3.640000e+00)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 10
FFTW_TWIDDLE 6
FFTW_TWIDDLE 3
FFTW_TWIDDLE 9
FFTW_NOTW 7

5. FFTW: elapsed time t=3.42 s, 1 iters, t-(init.)=3.34 s
    t(norm)=0.498353, mflops=10.0331 (err=7.6e-15)

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=4.14 s, 1 iters, t-(init.)=4.06 s
    t(norm)=0.605782, mflops=8.25379 (err=7.6e-15)
7. Frigo-old: elapsed time t=9.93 s, 1 iters, t-(init.)=9.85 s
    t(norm)=1.46969, mflops=3.40207 (err=7.6e-15)
8. GSL: elapsed time t=4.9 s, 1 iters, t-(init.)=4.83 s
    t(norm)=0.720672, mflops=6.93797 (err=7.5e-15)
9. Nielsen: elapsed time t=6.03 s, 1 iters, t-(init.)=5.95 s
    t(norm)=0.887784, mflops=5.632 (err=3.5e-12)
10. Singleton: elapsed time t=6.67 s, 1 iters, t-(init.)=6.6 s
    t(norm)=0.984769, mflops=5.07733 (err=1.1e-14)
11. Singleton (f2c): elapsed time t=6.3 s, 1 iters, t-(init.)=6.22 s
    t(norm)=0.92807, mflops=5.38752 (err=1.1e-14)
12. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
13. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
14. Valkenburg: elapsed time t=16.35 s, 1 iters, t-(init.)=16.28 s
    t(norm)=2.4291, mflops=2.05838 (err=7.9e-15)

Top mflops for N=362880 = 10.0331
Normalized results and averages for N=362880:
  fft 0: mflops = 3.37466 (norm. = 0.336354), norm. avg. (of 16) = 0.332119
  fft 1: mflops = 4.56545 (norm. = 0.455041), norm. avg. (of 19) = 0.847154
  fft 2: mflops = 4.55924 (norm. = 0.454422), norm. avg. (of 19) = 0.799112
  fft 3: mflops = 6.29895 (norm. = 0.62782), norm. avg. (of 19) = 0.672911
  fft 4: mflops = 6.28713 (norm. = 0.626642), norm. avg. (of 19) = 0.643982
  fft 5: mflops = 10.0331 (norm. = 1), norm. avg. (of 19) = 0.963986
  fft 6: mflops = 8.25379 (norm. = 0.82266), norm. avg. (of 19) = 0.935227
  fft 7: mflops = 3.40207 (norm. = 0.339086), norm. avg. (of 19) = 0.349967
  fft 8: mflops = 6.93797 (norm. = 0.691511), norm. avg. (of 19) = 0.594751
  fft 9: mflops = 5.632 (norm. = 0.561345), norm. avg. (of 19) = 0.496598
  fft 10: mflops = 5.07733 (norm. = 0.506061), norm. avg. (of 19) = 0.526943
  fft 11: mflops = 5.38752 (norm. = 0.536977), norm. avg. (of 19) = 0.573616
  fft 12: mflops = -1 (norm. = -0.0996706), norm. avg. (of 12) = 0.63763
  fft 13: mflops = -1 (norm. = -0.0996706), norm. avg. (of 12) = 0.549579
  fft 14: mflops = 2.05838 (norm. = 0.20516), norm. avg. (of 19) = 0.222906

------------------------------------------------------
@@@@ bench.3d.p2.log
Benchmarking for sizes:  4x4x4 (0.00128174 MB)  8x8x8 (0.00830078 MB)  16x16x16 (0.0633545 MB)  32x32x32 (0.501587 MB)  64x64x64 (4.00305 MB)  256x64x32 (8.01184 MB)  16x1024x64 (16.047 MB)  128x128x128 (32.006 MB)
Maximum array size N = 2097152

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)


Computing normalized averages (11 transforms).

Benchmarking for array size = 4x4x4 (power of 2):
0. FFTW: elapsed time t=1.05 s, 8192 iters, t-(init.)=1.02 s
    t(norm)=0.324249, mflops=15.4202 (err=3.0e-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=1.03 s, 4096 iters, t-(init.)=1.02 s
    t(norm)=0.648499, mflops=7.71012 (err=3.0e-16)
4. NR (F): elapsed time t=1.15 s, 4096 iters, t-(init.)=1.14 s
    t(norm)=0.724792, mflops=6.89853 (err=3.0e-16)
5. PDA: elapsed time t=1.32 s, 4096 iters, t-(init.)=1.3 s
    t(norm)=0.826518, mflops=6.04948 (err=2.9e-16)
6. PDA (f2c): elapsed time t=1.55 s, 4096 iters, t-(init.)=1.54 s
    t(norm)=0.979106, mflops=5.1067 (err=3.3e-16)
7. Singleton: elapsed time t=1.87 s, 8192 iters, t-(init.)=1.84 s
    t(norm)=0.58492, mflops=8.54817 (err=3.0e-16)
8. Singleton (f2c): elapsed time t=1.75 s, 8192 iters, t-(init.)=1.72 s
    t(norm)=0.546773, mflops=9.14456 (err=2.2e-16)
9. Temperton: elapsed time t=1.34 s, 8192 iters, t-(init.)=1.32 s
    t(norm)=0.419617, mflops=11.9156 (err=4.1e-16)
10. Temperton (f2c): elapsed time t=1.73 s, 8192 iters, t-(init.)=1.71 s
    t(norm)=0.543594, mflops=9.19804 (err=3.0e-16)

Top mflops for N=64 = 15.4202
Normalized results and averages for N=64:
  fft 0: mflops = 15.4202 (norm. = 1), norm. avg. (of 1) = 1
  fft 1: mflops = -1 (norm. = -0.0648499), norm. avg. (of 0) = -1
  fft 2: mflops = -1 (norm. = -0.0648499), norm. avg. (of 0) = -1
  fft 3: mflops = 7.71012 (norm. = 0.5), norm. avg. (of 1) = 0.5
  fft 4: mflops = 6.89853 (norm. = 0.447368), norm. avg. (of 1) = 0.447368
  fft 5: mflops = 6.04948 (norm. = 0.392308), norm. avg. (of 1) = 0.392308
  fft 6: mflops = 5.1067 (norm. = 0.331169), norm. avg. (of 1) = 0.331169
  fft 7: mflops = 8.54817 (norm. = 0.554348), norm. avg. (of 1) = 0.554348
  fft 8: mflops = 9.14456 (norm. = 0.593023), norm. avg. (of 1) = 0.593023
  fft 9: mflops = 11.9156 (norm. = 0.772727), norm. avg. (of 1) = 0.772727
  fft 10: mflops = 9.19804 (norm. = 0.596491), norm. avg. (of 1) = 0.596491

Benchmarking for array size = 8x8x8 (power of 2):
0. FFTW: elapsed time t=1.57 s, 1024 iters, t-(init.)=1.54 s
    t(norm)=0.326369, mflops=15.3201 (err=2.8e-16)
1. HARM: elapsed time t=1.07 s, 512 iters, t-(init.)=1.05 s
    t(norm)=0.445048, mflops=11.2347 (err=3.3e-16)
2. HARM (f2c): elapsed time t=1.24 s, 512 iters, t-(init.)=1.23 s
    t(norm)=0.521342, mflops=9.59063 (err=3.2e-16)
3. NR (C): elapsed time t=1.32 s, 512 iters, t-(init.)=1.31 s
    t(norm)=0.55525, mflops=9.00495 (err=3.1e-16)
4. NR (F): elapsed time t=1.44 s, 512 iters, t-(init.)=1.43 s
    t(norm)=0.606113, mflops=8.24929 (err=3.1e-16)
5. PDA: elapsed time t=1.52 s, 512 iters, t-(init.)=1.51 s
    t(norm)=0.640021, mflops=7.81224 (err=2.5e-16)
6. PDA (f2c): elapsed time t=1.67 s, 512 iters, t-(init.)=1.66 s
    t(norm)=0.7036, mflops=7.10631 (err=2.6e-16)
7. Singleton: elapsed time t=1.45 s, 512 iters, t-(init.)=1.44 s
    t(norm)=0.610352, mflops=8.192 (err=3.4e-16)
8. Singleton (f2c): elapsed time t=1.27 s, 512 iters, t-(init.)=1.26 s
    t(norm)=0.534058, mflops=9.36229 (err=3.4e-16)
9. Temperton: elapsed time t=1.01 s, 512 iters, t-(init.)=1 s
    t(norm)=0.423855, mflops=11.7965 (err=1.1e-08)
10. Temperton (f2c): elapsed time t=1.3 s, 512 iters, t-(init.)=1.29 s
    t(norm)=0.546773, mflops=9.14456 (err=3.0e-16)

Top mflops for N=512 = 15.3201
Normalized results and averages for N=512:
  fft 0: mflops = 15.3201 (norm. = 1), norm. avg. (of 2) = 1
  fft 1: mflops = 11.2347 (norm. = 0.733333), norm. avg. (of 1) = 0.733333
  fft 2: mflops = 9.59063 (norm. = 0.626016), norm. avg. (of 1) = 0.626016
  fft 3: mflops = 9.00495 (norm. = 0.587786), norm. avg. (of 2) = 0.543893
  fft 4: mflops = 8.24929 (norm. = 0.538462), norm. avg. (of 2) = 0.492915
  fft 5: mflops = 7.81224 (norm. = 0.509934), norm. avg. (of 2) = 0.451121
  fft 6: mflops = 7.10631 (norm. = 0.463855), norm. avg. (of 2) = 0.397512
  fft 7: mflops = 8.192 (norm. = 0.534722), norm. avg. (of 2) = 0.544535
  fft 8: mflops = 9.36229 (norm. = 0.611111), norm. avg. (of 2) = 0.602067
  fft 9: mflops = 11.7965 (norm. = 0.77), norm. avg. (of 2) = 0.771364
  fft 10: mflops = 9.14456 (norm. = 0.596899), norm. avg. (of 2) = 0.596695

Benchmarking for array size = 16x16x16 (power of 2):
0. FFTW: elapsed time t=1.18 s, 64 iters, t-(init.)=1.15 s
    t(norm)=0.365575, mflops=13.6771 (err=3.1e-16)
1. HARM: elapsed time t=1.5 s, 64 iters, t-(init.)=1.47 s
    t(norm)=0.4673, mflops=10.6998 (err=3.2e-16)
2. HARM (f2c): elapsed time t=1.76 s, 64 iters, t-(init.)=1.74 s
    t(norm)=0.553131, mflops=9.03945 (err=3.1e-16)
3. NR (C): elapsed time t=1.06 s, 32 iters, t-(init.)=1.05 s
    t(norm)=0.667572, mflops=7.48983 (err=3.5e-16)
4. NR (F): elapsed time t=1.11 s, 32 iters, t-(init.)=1.1 s
    t(norm)=0.699361, mflops=7.14938 (err=3.5e-16)
5. PDA: elapsed time t=1.94 s, 64 iters, t-(init.)=1.91 s
    t(norm)=0.607173, mflops=8.23489 (err=2.9e-16)
6. PDA (f2c): elapsed time t=1.02 s, 32 iters, t-(init.)=1.01 s
    t(norm)=0.642141, mflops=7.78646 (err=2.9e-16)
7. Singleton: elapsed time t=1.09 s, 32 iters, t-(init.)=1.08 s
    t(norm)=0.686646, mflops=7.28178 (err=3.5e-16)
8. Singleton (f2c): elapsed time t=1.03 s, 32 iters, t-(init.)=1.02 s
    t(norm)=0.648499, mflops=7.71012 (err=3.3e-16)
9. Temperton: elapsed time t=1.5 s, 64 iters, t-(init.)=1.47 s
    t(norm)=0.4673, mflops=10.6998 (err=6.0e-08)
10. Temperton (f2c): elapsed time t=1.82 s, 64 iters, t-(init.)=1.79 s
    t(norm)=0.569026, mflops=8.78695 (err=3.1e-16)

Top mflops for N=4096 = 13.6771
Normalized results and averages for N=4096:
  fft 0: mflops = 13.6771 (norm. = 1), norm. avg. (of 3) = 1
  fft 1: mflops = 10.6998 (norm. = 0.782313), norm. avg. (of 2) = 0.757823
  fft 2: mflops = 9.03945 (norm. = 0.66092), norm. avg. (of 2) = 0.643468
  fft 3: mflops = 7.48983 (norm. = 0.547619), norm. avg. (of 3) = 0.545135
  fft 4: mflops = 7.14938 (norm. = 0.522727), norm. avg. (of 3) = 0.502852
  fft 5: mflops = 8.23489 (norm. = 0.602094), norm. avg. (of 3) = 0.501445
  fft 6: mflops = 7.78646 (norm. = 0.569307), norm. avg. (of 3) = 0.454777
  fft 7: mflops = 7.28178 (norm. = 0.532407), norm. avg. (of 3) = 0.540492
  fft 8: mflops = 7.71012 (norm. = 0.563725), norm. avg. (of 3) = 0.589287
  fft 9: mflops = 10.6998 (norm. = 0.782313), norm. avg. (of 3) = 0.775013
  fft 10: mflops = 8.78695 (norm. = 0.642458), norm. avg. (of 3) = 0.61195

Benchmarking for array size = 32x32x32 (power of 2):
0. FFTW: elapsed time t=1.59 s, 8 iters, t-(init.)=1.54 s
    t(norm)=0.391642, mflops=12.7668 (err=4.1e-16)
1. HARM: elapsed time t=1.08 s, 4 iters, t-(init.)=1.06 s
    t(norm)=0.539144, mflops=9.27396 (err=4.6e-16)
2. HARM (f2c): elapsed time t=1.27 s, 4 iters, t-(init.)=1.24 s
    t(norm)=0.630697, mflops=7.92774 (err=4.3e-16)
3. NR (C): elapsed time t=1.57 s, 4 iters, t-(init.)=1.55 s
    t(norm)=0.788371, mflops=6.34219 (err=4.2e-16)
4. NR (F): elapsed time t=1.61 s, 4 iters, t-(init.)=1.58 s
    t(norm)=0.80363, mflops=6.22177 (err=4.2e-16)
5. PDA: elapsed time t=1.32 s, 4 iters, t-(init.)=1.29 s
    t(norm)=0.656128, mflops=7.62047 (err=3.5e-16)
6. PDA (f2c): elapsed time t=1.38 s, 4 iters, t-(init.)=1.35 s
    t(norm)=0.686646, mflops=7.28178 (err=3.6e-16)
7. Singleton: elapsed time t=1.63 s, 4 iters, t-(init.)=1.61 s
    t(norm)=0.818888, mflops=6.10584 (err=4.4e-16)
8. Singleton (f2c): elapsed time t=1.55 s, 4 iters, t-(init.)=1.53 s
    t(norm)=0.778198, mflops=6.4251 (err=4.2e-16)
9. Temperton: elapsed time t=1.1 s, 4 iters, t-(init.)=1.08 s
    t(norm)=0.549316, mflops=9.10222 (err=9.6e-08)
10. Temperton (f2c): elapsed time t=1.34 s, 4 iters, t-(init.)=1.32 s
    t(norm)=0.671387, mflops=7.44727 (err=4.0e-16)

Top mflops for N=32768 = 12.7668
Normalized results and averages for N=32768:
  fft 0: mflops = 12.7668 (norm. = 1), norm. avg. (of 4) = 1
  fft 1: mflops = 9.27396 (norm. = 0.726415), norm. avg. (of 3) = 0.747354
  fft 2: mflops = 7.92774 (norm. = 0.620968), norm. avg. (of 3) = 0.635968
  fft 3: mflops = 6.34219 (norm. = 0.496774), norm. avg. (of 4) = 0.533045
  fft 4: mflops = 6.22177 (norm. = 0.487342), norm. avg. (of 4) = 0.498975
  fft 5: mflops = 7.62047 (norm. = 0.596899), norm. avg. (of 4) = 0.525309
  fft 6: mflops = 7.28178 (norm. = 0.57037), norm. avg. (of 4) = 0.483675
  fft 7: mflops = 6.10584 (norm. = 0.478261), norm. avg. (of 4) = 0.524935
  fft 8: mflops = 6.4251 (norm. = 0.503268), norm. avg. (of 4) = 0.567782
  fft 9: mflops = 9.10222 (norm. = 0.712963), norm. avg. (of 4) = 0.759501
  fft 10: mflops = 7.44727 (norm. = 0.583333), norm. avg. (of 4) = 0.604795

Benchmarking for array size = 64x64x64 (power of 2):
0. FFTW: elapsed time t=2.03 s, 1 iters, t-(init.)=1.97 s
    t(norm)=0.417497, mflops=11.9761 (err=4.3e-16)
1. HARM: elapsed time t=2.54 s, 1 iters, t-(init.)=2.48 s
    t(norm)=0.525581, mflops=9.51329 (err=4.9e-16)
2. HARM (f2c): elapsed time t=3.09 s, 1 iters, t-(init.)=3.04 s
    t(norm)=0.64426, mflops=7.76084 (err=4.3e-16)
3. NR (C): elapsed time t=4.26 s, 1 iters, t-(init.)=4.2 s
    t(norm)=0.890096, mflops=5.61737 (err=4.9e-16)
4. NR (F): elapsed time t=4.37 s, 1 iters, t-(init.)=4.31 s
    t(norm)=0.913408, mflops=5.474 (err=4.9e-16)
5. PDA: elapsed time t=3.18 s, 1 iters, t-(init.)=3.12 s
    t(norm)=0.661214, mflops=7.56185 (err=4.4e-16)
6. PDA (f2c): elapsed time t=3.27 s, 1 iters, t-(init.)=3.21 s
    t(norm)=0.680288, mflops=7.34983 (err=4.4e-16)
7. Singleton: elapsed time t=3.88 s, 1 iters, t-(init.)=3.82 s
    t(norm)=0.809564, mflops=6.17617 (err=5.0e-16)
8. Singleton (f2c): elapsed time t=3.77 s, 1 iters, t-(init.)=3.71 s
    t(norm)=0.786251, mflops=6.35929 (err=4.8e-16)
9. Temperton: elapsed time t=2.64 s, 1 iters, t-(init.)=2.59 s
    t(norm)=0.548893, mflops=9.10925 (err=1.4e-07)
10. Temperton (f2c): elapsed time t=3.2 s, 1 iters, t-(init.)=3.14 s
    t(norm)=0.665453, mflops=7.51368 (err=4.4e-16)

Top mflops for N=262144 = 11.9761
Normalized results and averages for N=262144:
  fft 0: mflops = 11.9761 (norm. = 1), norm. avg. (of 5) = 1
  fft 1: mflops = 9.51329 (norm. = 0.794355), norm. avg. (of 4) = 0.759104
  fft 2: mflops = 7.76084 (norm. = 0.648026), norm. avg. (of 4) = 0.638982
  fft 3: mflops = 5.61737 (norm. = 0.469048), norm. avg. (of 5) = 0.520245
  fft 4: mflops = 5.474 (norm. = 0.457077), norm. avg. (of 5) = 0.490595
  fft 5: mflops = 7.56185 (norm. = 0.63141), norm. avg. (of 5) = 0.546529
  fft 6: mflops = 7.34983 (norm. = 0.613707), norm. avg. (of 5) = 0.509682
  fft 7: mflops = 6.17617 (norm. = 0.515707), norm. avg. (of 5) = 0.523089
  fft 8: mflops = 6.35929 (norm. = 0.530997), norm. avg. (of 5) = 0.560425
  fft 9: mflops = 9.10925 (norm. = 0.760618), norm. avg. (of 5) = 0.759724
  fft 10: mflops = 7.51368 (norm. = 0.627389), norm. avg. (of 5) = 0.609314

Benchmarking for array size = 256x64x32 (power of 2):
0. FFTW: elapsed time t=4.81 s, 1 iters, t-(init.)=4.69 s
    t(norm)=0.470814, mflops=10.6199 (err=5.8e-16)
1. HARM: elapsed time t=5.51 s, 1 iters, t-(init.)=5.4 s
    t(norm)=0.542089, mflops=9.22359 (err=6.1e-16)
2. HARM (f2c): elapsed time t=6.63 s, 1 iters, t-(init.)=6.51 s
    t(norm)=0.653518, mflops=7.6509 (err=5.9e-16)
3. NR (C): elapsed time t=9.05 s, 1 iters, t-(init.)=8.94 s
    t(norm)=0.897458, mflops=5.57129 (err=5.7e-16)
4. NR (F): elapsed time t=9.28 s, 1 iters, t-(init.)=9.17 s
    t(norm)=0.920547, mflops=5.43156 (err=5.7e-16)
5. PDA: elapsed time t=6.85 s, 1 iters, t-(init.)=6.74 s
    t(norm)=0.676607, mflops=7.38982 (err=4.9e-16)
6. PDA (f2c): elapsed time t=7 s, 1 iters, t-(init.)=6.89 s
    t(norm)=0.691665, mflops=7.22893 (err=5.1e-16)
7. Singleton: elapsed time t=8.53 s, 1 iters, t-(init.)=8.42 s
    t(norm)=0.845257, mflops=5.91536 (err=7.2e-16)
8. Singleton (f2c): elapsed time t=8.31 s, 1 iters, t-(init.)=8.2 s
    t(norm)=0.823172, mflops=6.07407 (err=7.1e-16)
9. Temperton: elapsed time t=5.75 s, 1 iters, t-(init.)=5.64 s
    t(norm)=0.566181, mflops=8.83109 (err=1.5e-07)
10. Temperton (f2c): elapsed time t=6.93 s, 1 iters, t-(init.)=6.82 s
    t(norm)=0.684638, mflops=7.30313 (err=5.5e-16)

Top mflops for N=524288 = 10.6199
Normalized results and averages for N=524288:
  fft 0: mflops = 10.6199 (norm. = 1), norm. avg. (of 6) = 1
  fft 1: mflops = 9.22359 (norm. = 0.868519), norm. avg. (of 5) = 0.780987
  fft 2: mflops = 7.6509 (norm. = 0.72043), norm. avg. (of 5) = 0.655272
  fft 3: mflops = 5.57129 (norm. = 0.524609), norm. avg. (of 6) = 0.520973
  fft 4: mflops = 5.43156 (norm. = 0.51145), norm. avg. (of 6) = 0.494071
  fft 5: mflops = 7.38982 (norm. = 0.695846), norm. avg. (of 6) = 0.571415
  fft 6: mflops = 7.22893 (norm. = 0.680697), norm. avg. (of 6) = 0.538184
  fft 7: mflops = 5.91536 (norm. = 0.557007), norm. avg. (of 6) = 0.528742
  fft 8: mflops = 6.07407 (norm. = 0.571951), norm. avg. (of 6) = 0.562346
  fft 9: mflops = 8.83109 (norm. = 0.83156), norm. avg. (of 6) = 0.771697
  fft 10: mflops = 7.30313 (norm. = 0.687683), norm. avg. (of 6) = 0.622376

Benchmarking for array size = 16x1024x64 (power of 2):
0. FFTW: elapsed time t=10.29 s, 1 iters, t-(init.)=10.07 s
    t(norm)=0.480175, mflops=10.4129 (err=5.7e-16)
1. HARM: elapsed time t=11.56 s, 1 iters, t-(init.)=11.33 s
    t(norm)=0.540257, mflops=9.25486 (err=5.8e-16)
2. HARM (f2c): elapsed time t=13.99 s, 1 iters, t-(init.)=13.77 s
    t(norm)=0.656605, mflops=7.61493 (err=5.5e-16)
3. NR (C): elapsed time t=19.16 s, 1 iters, t-(init.)=18.93 s
    t(norm)=0.902653, mflops=5.53923 (err=7.3e-16)
4. NR (F): elapsed time t=19.66 s, 1 iters, t-(init.)=19.44 s
    t(norm)=0.926971, mflops=5.39391 (err=7.3e-16)
5. PDA: elapsed time t=14.86 s, 1 iters, t-(init.)=14.63 s
    t(norm)=0.697613, mflops=7.1673 (err=6.0e-16)
6. PDA (f2c): elapsed time t=15.23 s, 1 iters, t-(init.)=15.01 s
    t(norm)=0.715733, mflops=6.98585 (err=6.0e-16)
7. Singleton: elapsed time t=17.65 s, 1 iters, t-(init.)=17.43 s
    t(norm)=0.831127, mflops=6.01593 (err=7.1e-16)
8. Singleton (f2c): elapsed time t=17.14 s, 1 iters, t-(init.)=16.92 s
    t(norm)=0.806808, mflops=6.19726 (err=6.9e-16)
9. Skipping fft (Temperton can't handle dimensions > 256).
10. Skipping fft (Temperton can't handle dimensions > 256).

Top mflops for N=1048576 = 10.4129
Normalized results and averages for N=1048576:
  fft 0: mflops = 10.4129 (norm. = 1), norm. avg. (of 7) = 1
  fft 1: mflops = 9.25486 (norm. = 0.888791), norm. avg. (of 6) = 0.798954
  fft 2: mflops = 7.61493 (norm. = 0.7313), norm. avg. (of 6) = 0.667943
  fft 3: mflops = 5.53923 (norm. = 0.53196), norm. avg. (of 7) = 0.522542
  fft 4: mflops = 5.39391 (norm. = 0.518004), norm. avg. (of 7) = 0.49749
  fft 5: mflops = 7.1673 (norm. = 0.688312), norm. avg. (of 7) = 0.588115
  fft 6: mflops = 6.98585 (norm. = 0.670886), norm. avg. (of 7) = 0.557142
  fft 7: mflops = 6.01593 (norm. = 0.57774), norm. avg. (of 7) = 0.535742
  fft 8: mflops = 6.19726 (norm. = 0.595154), norm. avg. (of 7) = 0.567033
  fft 9: mflops = -1 (norm. = -0.096035), norm. avg. (of 6) = 0.771697
  fft 10: mflops = -1 (norm. = -0.096035), norm. avg. (of 6) = 0.622376

Benchmarking for array size = 128x128x128 (power of 2):
0. FFTW: elapsed time t=23.8 s, 1 iters, t-(init.)=23.35 s
    t(norm)=0.530198, mflops=9.43045 (err=6.6e-16)
1. HARM: elapsed time t=25.39 s, 1 iters, t-(init.)=24.94 s
    t(norm)=0.566301, mflops=8.82923 (err=6.3e-16)
2. HARM (f2c): elapsed time t=30.01 s, 1 iters, t-(init.)=29.57 s
    t(norm)=0.671432, mflops=7.44677 (err=6.1e-16)
3. NR (C): elapsed time t=43.56 s, 1 iters, t-(init.)=43.12 s
    t(norm)=0.979106, mflops=5.1067 (err=7.5e-16)
4. NR (F): elapsed time t=44.59 s, 1 iters, t-(init.)=44.14 s
    t(norm)=1.00227, mflops=4.98869 (err=7.5e-16)
5. PDA: elapsed time t=30.73 s, 1 iters, t-(init.)=30.29 s
    t(norm)=0.687781, mflops=7.26976 (err=6.7e-16)
6. PDA (f2c): elapsed time t=30.85 s, 1 iters, t-(init.)=30.41 s
    t(norm)=0.690506, mflops=7.24107 (err=6.7e-16)
7. Singleton: elapsed time t=46.13 s, 1 iters, t-(init.)=45.68 s
    t(norm)=1.03723, mflops=4.82051 (err=8.0e-16)
8. Singleton (f2c): elapsed time t=44.21 s, 1 iters, t-(init.)=43.77 s
    t(norm)=0.993865, mflops=5.03086 (err=7.9e-16)
9. Temperton: elapsed time t=28.81 s, 1 iters, t-(init.)=28.37 s
    t(norm)=0.644184, mflops=7.76175 (err=1.5e-07)
10. Temperton (f2c): elapsed time t=34.29 s, 1 iters, t-(init.)=33.84 s
    t(norm)=0.768389, mflops=6.50712 (err=7.1e-16)

Top mflops for N=2097152 = 9.43045
Normalized results and averages for N=2097152:
  fft 0: mflops = 9.43045 (norm. = 1), norm. avg. (of 8) = 1
  fft 1: mflops = 8.82923 (norm. = 0.936247), norm. avg. (of 7) = 0.818568
  fft 2: mflops = 7.44677 (norm. = 0.789652), norm. avg. (of 7) = 0.68533
  fft 3: mflops = 5.1067 (norm. = 0.541512), norm. avg. (of 8) = 0.524913
  fft 4: mflops = 4.98869 (norm. = 0.528999), norm. avg. (of 8) = 0.501429
  fft 5: mflops = 7.26976 (norm. = 0.770881), norm. avg. (of 8) = 0.610961
  fft 6: mflops = 7.24107 (norm. = 0.76784), norm. avg. (of 8) = 0.583479
  fft 7: mflops = 4.82051 (norm. = 0.511165), norm. avg. (of 8) = 0.53267
  fft 8: mflops = 5.03086 (norm. = 0.53347), norm. avg. (of 8) = 0.562838
  fft 9: mflops = 7.76175 (norm. = 0.823053), norm. avg. (of 7) = 0.779033
  fft 10: mflops = 6.50712 (norm. = 0.690012), norm. avg. (of 7) = 0.632038

------------------------------------------------------
@@@@ bench.3d.np2.log
Benchmarking for sizes:  5x5x5 (0.0022583 MB)  6x6x6 (0.00369263 MB)  7x7x7 (0.00567627 MB)  9x9x9 (0.0116577 MB)  10x10x10 (0.0158386 MB)  11x11x11 (0.0209351 MB)  12x12x12 (0.0270386 MB)  13x13x13 (0.0342407 MB)  14x14x14 (0.0426331 MB)  15x15x15 (0.0523071 MB)  24x25x28 (0.257751 MB)  48x48x48 (1.68982 MB)  49x49x49 (1.79755 MB)  60x60x60 (3.29877 MB)  72x60x56 (3.69482 MB)  75x75x75 (6.44086 MB)  80x80x80 (7.81628 MB)  84x84x84 (9.04791 MB)  96x96x96 (13.5045 MB)  105x105x105 (17.6689 MB)  112x112x112 (21.4427 MB)  120x120x120 (26.3728 MB)  144x144x144 (45.5692 MB)
Maximum array size N = 2985984

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


Computing normalized averages (7 transforms).

Benchmarking for array size = 5x5x5:
0. FFTW: elapsed time t=1.68 s, 4096 iters, t-(init.)=1.65 s
    t(norm)=0.462641, mflops=10.8075 (err=2.9e-16)
1. PDA: elapsed time t=1.4 s, 2048 iters, t-(init.)=1.38 s
    t(norm)=0.773872, mflops=6.46102 (err=2.5e-16)
2. PDA (f2c): elapsed time t=1.7 s, 2048 iters, t-(init.)=1.69 s
    t(norm)=0.947713, mflops=5.27586 (err=2.4e-16)
3. Singleton: elapsed time t=1.5 s, 4096 iters, t-(init.)=1.47 s
    t(norm)=0.412171, mflops=12.1309 (err=3.2e-16)
4. Singleton (f2c): elapsed time t=1.52 s, 4096 iters, t-(init.)=1.5 s
    t(norm)=0.420583, mflops=11.8883 (err=2.6e-16)
5. Temperton: elapsed time t=1.94 s, 4096 iters, t-(init.)=1.92 s
    t(norm)=0.538346, mflops=9.28771 (err=3.8e-08)
6. Temperton (f2c): elapsed time t=1.14 s, 2048 iters, t-(init.)=1.13 s
    t(norm)=0.633678, mflops=7.89045 (err=1.7e-16)

Top mflops for N=125 = 12.1309
Normalized results and averages for N=125:
  fft 0: mflops = 10.8075 (norm. = 0.890909), norm. avg. (of 1) = 0.890909
  fft 1: mflops = 6.46102 (norm. = 0.532609), norm. avg. (of 1) = 0.532609
  fft 2: mflops = 5.27586 (norm. = 0.434911), norm. avg. (of 1) = 0.434911
  fft 3: mflops = 12.1309 (norm. = 1), norm. avg. (of 1) = 1
  fft 4: mflops = 11.8883 (norm. = 0.98), norm. avg. (of 1) = 0.98
  fft 5: mflops = 9.28771 (norm. = 0.765625), norm. avg. (of 1) = 0.765625
  fft 6: mflops = 7.89045 (norm. = 0.650442), norm. avg. (of 1) = 0.650442

Benchmarking for array size = 6x6x6:
0. FFTW: elapsed time t=1.29 s, 2048 iters, t-(init.)=1.27 s
    t(norm)=0.370207, mflops=13.506 (err=2.3e-16)
1. PDA: elapsed time t=1.46 s, 1024 iters, t-(init.)=1.45 s
    t(norm)=0.845354, mflops=5.91468 (err=3.7e-16)
2. PDA (f2c): elapsed time t=1.54 s, 1024 iters, t-(init.)=1.53 s
    t(norm)=0.891995, mflops=5.60542 (err=3.8e-16)
3. Singleton: elapsed time t=1.12 s, 1024 iters, t-(init.)=1.11 s
    t(norm)=0.647133, mflops=7.72638 (err=3.0e-16)
4. Singleton (f2c): elapsed time t=1.94 s, 2048 iters, t-(init.)=1.92 s
    t(norm)=0.559683, mflops=8.93363 (err=3.0e-16)
5. Temperton: elapsed time t=1.78 s, 2048 iters, t-(init.)=1.76 s
    t(norm)=0.513043, mflops=9.74578 (err=1.7e-08)
6. Temperton (f2c): elapsed time t=1.07 s, 1024 iters, t-(init.)=1.06 s
    t(norm)=0.617983, mflops=8.09084 (err=2.9e-16)

Top mflops for N=216 = 13.506
Normalized results and averages for N=216:
  fft 0: mflops = 13.506 (norm. = 1), norm. avg. (of 2) = 0.945455
  fft 1: mflops = 5.91468 (norm. = 0.437931), norm. avg. (of 2) = 0.48527
  fft 2: mflops = 5.60542 (norm. = 0.415033), norm. avg. (of 2) = 0.424972
  fft 3: mflops = 7.72638 (norm. = 0.572072), norm. avg. (of 2) = 0.786036
  fft 4: mflops = 8.93363 (norm. = 0.661458), norm. avg. (of 2) = 0.820729
  fft 5: mflops = 9.74578 (norm. = 0.721591), norm. avg. (of 2) = 0.743608
  fft 6: mflops = 8.09084 (norm. = 0.599057), norm. avg. (of 2) = 0.62475

Benchmarking for array size = 7x7x7:
0. FFTW: elapsed time t=1.35 s, 1024 iters, t-(init.)=1.34 s
    t(norm)=0.452994, mflops=11.0377 (err=2.1e-16)
1. PDA: elapsed time t=1.92 s, 512 iters, t-(init.)=1.91 s
    t(norm)=1.29137, mflops=3.87186 (err=3.7e-16)
2. PDA (f2c): elapsed time t=1.08 s, 256 iters, t-(init.)=1.08 s
    t(norm)=1.4604, mflops=3.42373 (err=3.4e-16)
3. Singleton: elapsed time t=1.57 s, 1024 iters, t-(init.)=1.56 s
    t(norm)=0.527366, mflops=9.48109 (err=4.2e-16)
4. Singleton (f2c): elapsed time t=1.4 s, 1024 iters, t-(init.)=1.38 s
    t(norm)=0.466516, mflops=10.7177 (err=4.2e-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).

Top mflops for N=343 = 11.0377
Normalized results and averages for N=343:
  fft 0: mflops = 11.0377 (norm. = 1), norm. avg. (of 3) = 0.963636
  fft 1: mflops = 3.87186 (norm. = 0.350785), norm. avg. (of 3) = 0.440442
  fft 2: mflops = 3.42373 (norm. = 0.310185), norm. avg. (of 3) = 0.38671
  fft 3: mflops = 9.48109 (norm. = 0.858974), norm. avg. (of 3) = 0.810349
  fft 4: mflops = 10.7177 (norm. = 0.971014), norm. avg. (of 3) = 0.870824
  fft 5: mflops = -1 (norm. = -0.0905987), norm. avg. (of 2) = 0.743608
  fft 6: mflops = -1 (norm. = -0.0905987), norm. avg. (of 2) = 0.62475

Benchmarking for array size = 9x9x9:
0. FFTW: elapsed time t=1.66 s, 512 iters, t-(init.)=1.65 s
    t(norm)=0.464854, mflops=10.7561 (err=4.1e-16)
1. PDA: elapsed time t=1.25 s, 256 iters, t-(init.)=1.25 s
    t(norm)=0.704324, mflops=7.09901 (err=3.2e-16)
2. PDA (f2c): elapsed time t=1.34 s, 256 iters, t-(init.)=1.33 s
    t(norm)=0.7494, mflops=6.672 (err=3.6e-16)
3. Singleton: elapsed time t=1.1 s, 256 iters, t-(init.)=1.09 s
    t(norm)=0.61417, mflops=8.14107 (err=3.6e-16)
4. Singleton (f2c): elapsed time t=1.95 s, 512 iters, t-(init.)=1.94 s
    t(norm)=0.546555, mflops=9.14821 (err=3.6e-16)
5. Temperton: elapsed time t=1.06 s, 256 iters, t-(init.)=1.05 s
    t(norm)=0.591632, mflops=8.4512 (err=5.3e-08)
6. Temperton (f2c): elapsed time t=1.25 s, 256 iters, t-(init.)=1.24 s
    t(norm)=0.698689, mflops=7.15626 (err=3.5e-16)

Top mflops for N=729 = 10.7561
Normalized results and averages for N=729:
  fft 0: mflops = 10.7561 (norm. = 1), norm. avg. (of 4) = 0.972727
  fft 1: mflops = 7.09901 (norm. = 0.66), norm. avg. (of 4) = 0.495331
  fft 2: mflops = 6.672 (norm. = 0.620301), norm. avg. (of 4) = 0.445107
  fft 3: mflops = 8.14107 (norm. = 0.756881), norm. avg. (of 4) = 0.796982
  fft 4: mflops = 9.14821 (norm. = 0.850515), norm. avg. (of 4) = 0.865747
  fft 5: mflops = 8.4512 (norm. = 0.785714), norm. avg. (of 3) = 0.757643
  fft 6: mflops = 7.15626 (norm. = 0.665323), norm. avg. (of 3) = 0.638274

Benchmarking for array size = 10x10x10:
0. FFTW: elapsed time t=1.05 s, 256 iters, t-(init.)=1.04 s
    t(norm)=0.407645, mflops=12.2656 (err=2.6e-16)
1. PDA: elapsed time t=1.75 s, 256 iters, t-(init.)=1.74 s
    t(norm)=0.682021, mflops=7.33115 (err=2.8e-16)
2. PDA (f2c): elapsed time t=1 s, 128 iters, t-(init.)=0.99 s
    t(norm)=0.776093, mflops=6.44253 (err=3.1e-16)
3. Singleton: elapsed time t=1.6 s, 256 iters, t-(init.)=1.59 s
    t(norm)=0.623226, mflops=8.02277 (err=3.8e-16)
4. Singleton (f2c): elapsed time t=1.48 s, 256 iters, t-(init.)=1.47 s
    t(norm)=0.57619, mflops=8.67769 (err=3.7e-16)
5. Temperton: elapsed time t=1.3 s, 256 iters, t-(init.)=1.29 s
    t(norm)=0.505636, mflops=9.88853 (err=2.5e-08)
6. Temperton (f2c): elapsed time t=1.59 s, 256 iters, t-(init.)=1.58 s
    t(norm)=0.619307, mflops=8.07355 (err=2.8e-16)

Top mflops for N=1000 = 12.2656
Normalized results and averages for N=1000:
  fft 0: mflops = 12.2656 (norm. = 1), norm. avg. (of 5) = 0.978182
  fft 1: mflops = 7.33115 (norm. = 0.597701), norm. avg. (of 5) = 0.515805
  fft 2: mflops = 6.44253 (norm. = 0.525253), norm. avg. (of 5) = 0.461136
  fft 3: mflops = 8.02277 (norm. = 0.654088), norm. avg. (of 5) = 0.768403
  fft 4: mflops = 8.67769 (norm. = 0.707483), norm. avg. (of 5) = 0.834094
  fft 5: mflops = 9.88853 (norm. = 0.806202), norm. avg. (of 4) = 0.769783
  fft 6: mflops = 8.07355 (norm. = 0.658228), norm. avg. (of 4) = 0.643262

Benchmarking for array size = 11x11x11:
0. FFTW: elapsed time t=1.92 s, 256 iters, t-(init.)=1.89 s
    t(norm)=0.534463, mflops=9.35518 (err=2.4e-16)
1. PDA: elapsed time t=1.18 s, 64 iters, t-(init.)=1.17 s
    t(norm)=1.32343, mflops=3.77805 (err=4.2e-16)
2. PDA (f2c): elapsed time t=1.28 s, 64 iters, t-(init.)=1.27 s
    t(norm)=1.43655, mflops=3.48057 (err=4.3e-16)
3. Singleton: elapsed time t=1.06 s, 128 iters, t-(init.)=1.04 s
    t(norm)=0.588192, mflops=8.50062 (err=3.8e-16)
4. Singleton (f2c): elapsed time t=1.95 s, 256 iters, t-(init.)=1.93 s
    t(norm)=0.545775, mflops=9.16129 (err=3.8e-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).

Top mflops for N=1331 = 9.35518
Normalized results and averages for N=1331:
  fft 0: mflops = 9.35518 (norm. = 1), norm. avg. (of 6) = 0.981818
  fft 1: mflops = 3.77805 (norm. = 0.403846), norm. avg. (of 6) = 0.497145
  fft 2: mflops = 3.48057 (norm. = 0.372047), norm. avg. (of 6) = 0.446288
  fft 3: mflops = 8.50062 (norm. = 0.908654), norm. avg. (of 6) = 0.791778
  fft 4: mflops = 9.16129 (norm. = 0.979275), norm. avg. (of 6) = 0.858291
  fft 5: mflops = -1 (norm. = -0.106893), norm. avg. (of 4) = 0.769783
  fft 6: mflops = -1 (norm. = -0.106893), norm. avg. (of 4) = 0.643262

Benchmarking for array size = 12x12x12:
0. FFTW: elapsed time t=1.73 s, 256 iters, t-(init.)=1.69 s
    t(norm)=0.35522, mflops=14.0758 (err=3.3e-16)
1. PDA: elapsed time t=1.59 s, 128 iters, t-(init.)=1.57 s
    t(norm)=0.659994, mflops=7.57582 (err=3.1e-16)
2. PDA (f2c): elapsed time t=1.68 s, 128 iters, t-(init.)=1.66 s
    t(norm)=0.697828, mflops=7.16509 (err=3.5e-16)
3. Singleton: elapsed time t=1.61 s, 128 iters, t-(init.)=1.59 s
    t(norm)=0.668402, mflops=7.48053 (err=3.7e-16)
4. Singleton (f2c): elapsed time t=1.45 s, 128 iters, t-(init.)=1.43 s
    t(norm)=0.601141, mflops=8.31751 (err=3.7e-16)
5. Temperton: elapsed time t=1.11 s, 128 iters, t-(init.)=1.09 s
    t(norm)=0.458212, mflops=10.912 (err=1.6e-08)
6. Temperton (f2c): elapsed time t=1.31 s, 128 iters, t-(init.)=1.29 s
    t(norm)=0.542288, mflops=9.22019 (err=3.9e-16)

Top mflops for N=1728 = 14.0758
Normalized results and averages for N=1728:
  fft 0: mflops = 14.0758 (norm. = 1), norm. avg. (of 7) = 0.984416
  fft 1: mflops = 7.57582 (norm. = 0.538217), norm. avg. (of 7) = 0.503013
  fft 2: mflops = 7.16509 (norm. = 0.509036), norm. avg. (of 7) = 0.455252
  fft 3: mflops = 7.48053 (norm. = 0.531447), norm. avg. (of 7) = 0.754588
  fft 4: mflops = 8.31751 (norm. = 0.590909), norm. avg. (of 7) = 0.820094
  fft 5: mflops = 10.912 (norm. = 0.775229), norm. avg. (of 5) = 0.770872
  fft 6: mflops = 9.22019 (norm. = 0.655039), norm. avg. (of 5) = 0.645618

Benchmarking for array size = 13x13x13:
0. FFTW: elapsed time t=1.81 s, 128 iters, t-(init.)=1.78 s
    t(norm)=0.570171, mflops=8.76929 (err=2.3e-16)
1. PDA: elapsed time t=1.13 s, 32 iters, t-(init.)=1.12 s
    t(norm)=1.43504, mflops=3.48423 (err=8.7e-16)
2. PDA (f2c): elapsed time t=1.17 s, 32 iters, t-(init.)=1.16 s
    t(norm)=1.48629, mflops=3.36408 (err=8.4e-16)
3. Singleton: elapsed time t=1 s, 64 iters, t-(init.)=0.99 s
    t(norm)=0.634236, mflops=7.88351 (err=5.3e-16)
4. Singleton (f2c): elapsed time t=1.82 s, 128 iters, t-(init.)=1.79 s
    t(norm)=0.573375, mflops=8.7203 (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).

Top mflops for N=2197 = 8.76929
Normalized results and averages for N=2197:
  fft 0: mflops = 8.76929 (norm. = 1), norm. avg. (of 8) = 0.986364
  fft 1: mflops = 3.48423 (norm. = 0.397321), norm. avg. (of 8) = 0.489801
  fft 2: mflops = 3.36408 (norm. = 0.383621), norm. avg. (of 8) = 0.446298
  fft 3: mflops = 7.88351 (norm. = 0.89899), norm. avg. (of 8) = 0.772638
  fft 4: mflops = 8.7203 (norm. = 0.994413), norm. avg. (of 8) = 0.841884
  fft 5: mflops = -1 (norm. = -0.114034), norm. avg. (of 5) = 0.770872
  fft 6: mflops = -1 (norm. = -0.114034), norm. avg. (of 5) = 0.645618

Benchmarking for array size = 14x14x14:
0. FFTW: elapsed time t=1.79 s, 128 iters, t-(init.)=1.75 s
    t(norm)=0.436214, mflops=11.4623 (err=2.6e-16)
1. PDA: elapsed time t=1.89 s, 64 iters, t-(init.)=1.87 s
    t(norm)=0.932251, mflops=5.36336 (err=3.7e-16)
2. PDA (f2c): elapsed time t=1 s, 32 iters, t-(init.)=0.99 s
    t(norm)=0.987089, mflops=5.0654 (err=3.6e-16)
3. Singleton: elapsed time t=1.42 s, 64 iters, t-(init.)=1.4 s
    t(norm)=0.697942, mflops=7.16392 (err=4.1e-16)
4. Singleton (f2c): elapsed time t=1.24 s, 64 iters, t-(init.)=1.22 s
    t(norm)=0.608207, mflops=8.22089 (err=4.1e-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).

Top mflops for N=2744 = 11.4623
Normalized results and averages for N=2744:
  fft 0: mflops = 11.4623 (norm. = 1), norm. avg. (of 9) = 0.987879
  fft 1: mflops = 5.36336 (norm. = 0.467914), norm. avg. (of 9) = 0.487369
  fft 2: mflops = 5.0654 (norm. = 0.441919), norm. avg. (of 9) = 0.445812
  fft 3: mflops = 7.16392 (norm. = 0.625), norm. avg. (of 9) = 0.756234
  fft 4: mflops = 8.22089 (norm. = 0.717213), norm. avg. (of 9) = 0.828031
  fft 5: mflops = -1 (norm. = -0.0872428), norm. avg. (of 5) = 0.770872
  fft 6: mflops = -1 (norm. = -0.0872428), norm. avg. (of 5) = 0.645618

Benchmarking for array size = 15x15x15:
0. FFTW: elapsed time t=1.1 s, 64 iters, t-(init.)=1.07 s
    t(norm)=0.422647, mflops=11.8302 (err=3.7e-16)
1. PDA: elapsed time t=1.56 s, 64 iters, t-(init.)=1.53 s
    t(norm)=0.604345, mflops=8.27342 (err=3.5e-16)
2. PDA (f2c): elapsed time t=1.79 s, 64 iters, t-(init.)=1.76 s
    t(norm)=0.695195, mflops=7.19223 (err=3.4e-16)
3. Singleton: elapsed time t=1.77 s, 64 iters, t-(init.)=1.75 s
    t(norm)=0.691245, mflops=7.23333 (err=4.2e-16)
4. Singleton (f2c): elapsed time t=1.64 s, 64 iters, t-(init.)=1.62 s
    t(norm)=0.639895, mflops=7.81378 (err=4.1e-16)
5. Temperton: elapsed time t=1.37 s, 64 iters, t-(init.)=1.35 s
    t(norm)=0.533246, mflops=9.37654 (err=1.8e-08)
6. Temperton (f2c): elapsed time t=1.6 s, 64 iters, t-(init.)=1.58 s
    t(norm)=0.624095, mflops=8.0116 (err=3.8e-16)

Top mflops for N=3375 = 11.8302
Normalized results and averages for N=3375:
  fft 0: mflops = 11.8302 (norm. = 1), norm. avg. (of 10) = 0.989091
  fft 1: mflops = 8.27342 (norm. = 0.699346), norm. avg. (of 10) = 0.508567
  fft 2: mflops = 7.19223 (norm. = 0.607955), norm. avg. (of 10) = 0.462026
  fft 3: mflops = 7.23333 (norm. = 0.611429), norm. avg. (of 10) = 0.741753
  fft 4: mflops = 7.81378 (norm. = 0.660494), norm. avg. (of 10) = 0.811278
  fft 5: mflops = 9.37654 (norm. = 0.792593), norm. avg. (of 6) = 0.774492
  fft 6: mflops = 8.0116 (norm. = 0.677215), norm. avg. (of 6) = 0.650884

Benchmarking for array size = 24x25x28:
0. FFTW: elapsed time t=1.06 s, 8 iters, t-(init.)=1.04 s
    t(norm)=0.551297, mflops=9.06953 (err=3.3e-16)
1. PDA: elapsed time t=1.34 s, 8 iters, t-(init.)=1.32 s
    t(norm)=0.699723, mflops=7.14569 (err=3.8e-16)
2. PDA (f2c): elapsed time t=1.45 s, 8 iters, t-(init.)=1.43 s
    t(norm)=0.758033, mflops=6.59602 (err=3.8e-16)
3. Singleton: elapsed time t=1.4 s, 8 iters, t-(init.)=1.38 s
    t(norm)=0.731528, mflops=6.83501 (err=4.5e-16)
4. Singleton (f2c): elapsed time t=1.28 s, 8 iters, t-(init.)=1.26 s
    t(norm)=0.667917, mflops=7.48596 (err=4.4e-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).

Top mflops for N=16800 = 9.06953
Normalized results and averages for N=16800:
  fft 0: mflops = 9.06953 (norm. = 1), norm. avg. (of 11) = 0.990083
  fft 1: mflops = 7.14569 (norm. = 0.787879), norm. avg. (of 11) = 0.533959
  fft 2: mflops = 6.59602 (norm. = 0.727273), norm. avg. (of 11) = 0.486139
  fft 3: mflops = 6.83501 (norm. = 0.753623), norm. avg. (of 11) = 0.742832
  fft 4: mflops = 7.48596 (norm. = 0.825397), norm. avg. (of 11) = 0.812561
  fft 5: mflops = -1 (norm. = -0.110259), norm. avg. (of 6) = 0.774492
  fft 6: mflops = -1 (norm. = -0.110259), norm. avg. (of 6) = 0.650884

Benchmarking for array size = 48x48x48:
0. FFTW: elapsed time t=1.86 s, 2 iters, t-(init.)=1.82 s
    t(norm)=0.491107, mflops=10.1811 (err=4.0e-16)
1. PDA: elapsed time t=1.29 s, 1 iters, t-(init.)=1.27 s
    t(norm)=0.685391, mflops=7.2951 (err=4.0e-16)
2. PDA (f2c): elapsed time t=1.31 s, 1 iters, t-(init.)=1.28 s
    t(norm)=0.690788, mflops=7.23811 (err=4.2e-16)
3. Singleton: elapsed time t=1.61 s, 1 iters, t-(init.)=1.59 s
    t(norm)=0.858088, mflops=5.82691 (err=3.7e-16)
4. Singleton (f2c): elapsed time t=1.55 s, 1 iters, t-(init.)=1.53 s
    t(norm)=0.825707, mflops=6.05541 (err=3.6e-16)
5. Temperton: elapsed time t=1.03 s, 1 iters, t-(init.)=1 s
    t(norm)=0.539678, mflops=9.26478 (err=1.1e-07)
6. Temperton (f2c): elapsed time t=1.2 s, 1 iters, t-(init.)=1.18 s
    t(norm)=0.63682, mflops=7.85151 (err=4.8e-16)

Top mflops for N=110592 = 10.1811
Normalized results and averages for N=110592:
  fft 0: mflops = 10.1811 (norm. = 1), norm. avg. (of 12) = 0.990909
  fft 1: mflops = 7.2951 (norm. = 0.716535), norm. avg. (of 12) = 0.549174
  fft 2: mflops = 7.23811 (norm. = 0.710938), norm. avg. (of 12) = 0.504873
  fft 3: mflops = 5.82691 (norm. = 0.572327), norm. avg. (of 12) = 0.728624
  fft 4: mflops = 6.05541 (norm. = 0.594771), norm. avg. (of 12) = 0.794412
  fft 5: mflops = 9.26478 (norm. = 0.91), norm. avg. (of 7) = 0.793851
  fft 6: mflops = 7.85151 (norm. = 0.771186), norm. avg. (of 7) = 0.66807

Benchmarking for array size = 49x49x49:
0. FFTW: elapsed time t=1.15 s, 1 iters, t-(init.)=1.13 s
    t(norm)=0.570219, mflops=8.76856 (err=4.3e-16)
1. PDA: elapsed time t=1.62 s, 1 iters, t-(init.)=1.59 s
    t(norm)=0.802343, mflops=6.23175 (err=5.7e-16)
2. PDA (f2c): elapsed time t=1.84 s, 1 iters, t-(init.)=1.82 s
    t(norm)=0.918406, mflops=5.44422 (err=5.7e-16)
3. Singleton: elapsed time t=1.54 s, 1 iters, t-(init.)=1.52 s
    t(norm)=0.76702, mflops=6.51873 (err=6.8e-16)
4. Singleton (f2c): elapsed time t=1.41 s, 1 iters, t-(init.)=1.39 s
    t(norm)=0.70142, mflops=7.1284 (err=6.8e-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).

Top mflops for N=117649 = 8.76856
Normalized results and averages for N=117649:
  fft 0: mflops = 8.76856 (norm. = 1), norm. avg. (of 13) = 0.991608
  fft 1: mflops = 6.23175 (norm. = 0.710692), norm. avg. (of 13) = 0.561598
  fft 2: mflops = 5.44422 (norm. = 0.620879), norm. avg. (of 13) = 0.513796
  fft 3: mflops = 6.51873 (norm. = 0.743421), norm. avg. (of 13) = 0.729762
  fft 4: mflops = 7.1284 (norm. = 0.81295), norm. avg. (of 13) = 0.795838
  fft 5: mflops = -1 (norm. = -0.114044), norm. avg. (of 7) = 0.793851
  fft 6: mflops = -1 (norm. = -0.114044), norm. avg. (of 7) = 0.66807

Benchmarking for array size = 60x60x60:
0. FFTW: elapsed time t=2.05 s, 1 iters, t-(init.)=2 s
    t(norm)=0.522512, mflops=9.56916 (err=4.6e-16)
1. PDA: elapsed time t=2.65 s, 1 iters, t-(init.)=2.61 s
    t(norm)=0.681878, mflops=7.33269 (err=4.4e-16)
2. PDA (f2c): elapsed time t=2.85 s, 1 iters, t-(init.)=2.81 s
    t(norm)=0.734129, mflops=6.81079 (err=4.4e-16)
3. Singleton: elapsed time t=3.58 s, 1 iters, t-(init.)=3.53 s
    t(norm)=0.922233, mflops=5.42162 (err=5.4e-16)
4. Singleton (f2c): elapsed time t=3.4 s, 1 iters, t-(init.)=3.36 s
    t(norm)=0.87782, mflops=5.69593 (err=5.4e-16)
5. Temperton: elapsed time t=2.09 s, 1 iters, t-(init.)=2.05 s
    t(norm)=0.535575, mflops=9.33577 (err=1.9e-08)
6. Temperton (f2c): elapsed time t=2.43 s, 1 iters, t-(init.)=2.39 s
    t(norm)=0.624402, mflops=8.00767 (err=5.4e-16)

Top mflops for N=216000 = 9.56916
Normalized results and averages for N=216000:
  fft 0: mflops = 9.56916 (norm. = 1), norm. avg. (of 14) = 0.992208
  fft 1: mflops = 7.33269 (norm. = 0.766284), norm. avg. (of 14) = 0.576219
  fft 2: mflops = 6.81079 (norm. = 0.711744), norm. avg. (of 14) = 0.527935
  fft 3: mflops = 5.42162 (norm. = 0.566572), norm. avg. (of 14) = 0.718106
  fft 4: mflops = 5.69593 (norm. = 0.595238), norm. avg. (of 14) = 0.781509
  fft 5: mflops = 9.33577 (norm. = 0.97561), norm. avg. (of 8) = 0.81657
  fft 6: mflops = 8.00767 (norm. = 0.83682), norm. avg. (of 8) = 0.689164

Benchmarking for array size = 72x60x56:
0. FFTW: elapsed time t=2.28 s, 1 iters, t-(init.)=2.23 s
    t(norm)=0.515424, mflops=9.70076 (err=3.8e-16)
1. PDA: elapsed time t=3.13 s, 1 iters, t-(init.)=3.08 s
    t(norm)=0.711885, mflops=7.0236 (err=4.7e-16)
2. PDA (f2c): elapsed time t=3.31 s, 1 iters, t-(init.)=3.25 s
    t(norm)=0.751178, mflops=6.65621 (err=4.7e-16)
3. Singleton: elapsed time t=4.32 s, 1 iters, t-(init.)=4.27 s
    t(norm)=0.986932, mflops=5.0662 (err=5.2e-16)
4. Singleton (f2c): elapsed time t=4.05 s, 1 iters, t-(init.)=4 s
    t(norm)=0.924527, mflops=5.40817 (err=5.2e-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).

Top mflops for N=241920 = 9.70076
Normalized results and averages for N=241920:
  fft 0: mflops = 9.70076 (norm. = 1), norm. avg. (of 15) = 0.992727
  fft 1: mflops = 7.0236 (norm. = 0.724026), norm. avg. (of 15) = 0.586072
  fft 2: mflops = 6.65621 (norm. = 0.686154), norm. avg. (of 15) = 0.538483
  fft 3: mflops = 5.0662 (norm. = 0.522248), norm. avg. (of 15) = 0.705048
  fft 4: mflops = 5.40817 (norm. = 0.5575), norm. avg. (of 15) = 0.766575
  fft 5: mflops = -1 (norm. = -0.103085), norm. avg. (of 8) = 0.81657
  fft 6: mflops = -1 (norm. = -0.103085), norm. avg. (of 8) = 0.689164

Benchmarking for array size = 75x75x75:
0. FFTW: elapsed time t=4.44 s, 1 iters, t-(init.)=4.35 s
    t(norm)=0.551796, mflops=9.06132 (err=5.2e-16)
1. PDA: elapsed time t=5.04 s, 1 iters, t-(init.)=4.95 s
    t(norm)=0.627906, mflops=7.96298 (err=5.8e-16)
2. PDA (f2c): elapsed time t=5.64 s, 1 iters, t-(init.)=5.55 s
    t(norm)=0.704016, mflops=7.10212 (err=5.8e-16)
3. Singleton: elapsed time t=6.29 s, 1 iters, t-(init.)=6.2 s
    t(norm)=0.786468, mflops=6.35754 (err=6.6e-16)
4. Singleton (f2c): elapsed time t=6.06 s, 1 iters, t-(init.)=5.97 s
    t(norm)=0.757292, mflops=6.60247 (err=6.6e-16)
5. Temperton: elapsed time t=4.85 s, 1 iters, t-(init.)=4.76 s
    t(norm)=0.603804, mflops=8.28083 (err=1.4e-07)
6. Temperton (f2c): elapsed time t=5.67 s, 1 iters, t-(init.)=5.58 s
    t(norm)=0.707821, mflops=7.06393 (err=7.0e-16)

Top mflops for N=421875 = 9.06132
Normalized results and averages for N=421875:
  fft 0: mflops = 9.06132 (norm. = 1), norm. avg. (of 16) = 0.993182
  fft 1: mflops = 7.96298 (norm. = 0.878788), norm. avg. (of 16) = 0.604367
  fft 2: mflops = 7.10212 (norm. = 0.783784), norm. avg. (of 16) = 0.553814
  fft 3: mflops = 6.35754 (norm. = 0.701613), norm. avg. (of 16) = 0.704834
  fft 4: mflops = 6.60247 (norm. = 0.728643), norm. avg. (of 16) = 0.764205
  fft 5: mflops = 8.28083 (norm. = 0.913866), norm. avg. (of 9) = 0.827381
  fft 6: mflops = 7.06393 (norm. = 0.77957), norm. avg. (of 9) = 0.699209

Benchmarking for array size = 80x80x80:
0. FFTW: elapsed time t=5.56 s, 1 iters, t-(init.)=5.45 s
    t(norm)=0.561249, mflops=8.9087 (err=3.8e-16)
1. PDA: elapsed time t=6.72 s, 1 iters, t-(init.)=6.62 s
    t(norm)=0.681738, mflops=7.3342 (err=3.8e-16)
2. PDA (f2c): elapsed time t=7.17 s, 1 iters, t-(init.)=7.06 s
    t(norm)=0.727049, mflops=6.87711 (err=3.7e-16)
3. Singleton: elapsed time t=8.23 s, 1 iters, t-(init.)=8.12 s
    t(norm)=0.83621, mflops=5.97936 (err=4.8e-16)
4. Singleton (f2c): elapsed time t=7.98 s, 1 iters, t-(init.)=7.87 s
    t(norm)=0.810464, mflops=6.1693 (err=4.7e-16)
5. Temperton: elapsed time t=5.42 s, 1 iters, t-(init.)=5.31 s
    t(norm)=0.546832, mflops=9.14358 (err=1.7e-07)
6. Temperton (f2c): elapsed time t=6.34 s, 1 iters, t-(init.)=6.23 s
    t(norm)=0.641575, mflops=7.79332 (err=5.2e-16)

Top mflops for N=512000 = 9.14358
Normalized results and averages for N=512000:
  fft 0: mflops = 8.9087 (norm. = 0.974312), norm. avg. (of 17) = 0.992072
  fft 1: mflops = 7.3342 (norm. = 0.802115), norm. avg. (of 17) = 0.615999
  fft 2: mflops = 6.87711 (norm. = 0.752125), norm. avg. (of 17) = 0.56548
  fft 3: mflops = 5.97936 (norm. = 0.653941), norm. avg. (of 17) = 0.70184
  fft 4: mflops = 6.1693 (norm. = 0.674714), norm. avg. (of 17) = 0.75894
  fft 5: mflops = 9.14358 (norm. = 1), norm. avg. (of 10) = 0.844643
  fft 6: mflops = 7.79332 (norm. = 0.852327), norm. avg. (of 10) = 0.714521

Benchmarking for array size = 84x84x84:
0. FFTW: elapsed time t=6.18 s, 1 iters, t-(init.)=6.05 s
    t(norm)=0.532277, mflops=9.3936 (err=4.8e-16)
1. PDA: elapsed time t=8.92 s, 1 iters, t-(init.)=8.79 s
    t(norm)=0.773342, mflops=6.46545 (err=4.7e-16)
2. PDA (f2c): elapsed time t=9.62 s, 1 iters, t-(init.)=9.49 s
    t(norm)=0.834928, mflops=5.98854 (err=5.0e-16)
3. Singleton: elapsed time t=11.47 s, 1 iters, t-(init.)=11.34 s
    t(norm)=0.99769, mflops=5.01158 (err=5.4e-16)
4. Singleton (f2c): elapsed time t=10.63 s, 1 iters, t-(init.)=10.5 s
    t(norm)=0.923787, mflops=5.4125 (err=5.4e-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).

Top mflops for N=592704 = 9.3936
Normalized results and averages for N=592704:
  fft 0: mflops = 9.3936 (norm. = 1), norm. avg. (of 18) = 0.992512
  fft 1: mflops = 6.46545 (norm. = 0.688282), norm. avg. (of 18) = 0.620015
  fft 2: mflops = 5.98854 (norm. = 0.637513), norm. avg. (of 18) = 0.569482
  fft 3: mflops = 5.01158 (norm. = 0.53351), norm. avg. (of 18) = 0.692488
  fft 4: mflops = 5.4125 (norm. = 0.57619), norm. avg. (of 18) = 0.748788
  fft 5: mflops = -1 (norm. = -0.106455), norm. avg. (of 10) = 0.844643
  fft 6: mflops = -1 (norm. = -0.106455), norm. avg. (of 10) = 0.714521

Benchmarking for array size = 96x96x96:
0. FFTW: elapsed time t=8.94 s, 1 iters, t-(init.)=8.75 s
    t(norm)=0.500633, mflops=9.98735 (err=4.8e-16)
1. PDA: elapsed time t=12.4 s, 1 iters, t-(init.)=12.21 s
    t(norm)=0.698598, mflops=7.15719 (err=4.9e-16)
2. PDA (f2c): elapsed time t=12.51 s, 1 iters, t-(init.)=12.32 s
    t(norm)=0.704892, mflops=7.09329 (err=4.8e-16)
3. Singleton: elapsed time t=17.31 s, 1 iters, t-(init.)=17.12 s
    t(norm)=0.979525, mflops=5.10452 (err=5.5e-16)
4. Singleton (f2c): elapsed time t=16.64 s, 1 iters, t-(init.)=16.45 s
    t(norm)=0.941191, mflops=5.31242 (err=5.5e-16)
5. Temperton: elapsed time t=10.58 s, 1 iters, t-(init.)=10.39 s
    t(norm)=0.594466, mflops=8.4109 (err=1.6e-07)
6. Temperton (f2c): elapsed time t=12.34 s, 1 iters, t-(init.)=12.15 s
    t(norm)=0.695165, mflops=7.19254 (err=5.2e-16)

Top mflops for N=884736 = 9.98735
Normalized results and averages for N=884736:
  fft 0: mflops = 9.98735 (norm. = 1), norm. avg. (of 19) = 0.992906
  fft 1: mflops = 7.15719 (norm. = 0.716626), norm. avg. (of 19) = 0.6251
  fft 2: mflops = 7.09329 (norm. = 0.710227), norm. avg. (of 19) = 0.576889
  fft 3: mflops = 5.10452 (norm. = 0.511098), norm. avg. (of 19) = 0.682941
  fft 4: mflops = 5.31242 (norm. = 0.531915), norm. avg. (of 19) = 0.737373
  fft 5: mflops = 8.4109 (norm. = 0.842156), norm. avg. (of 11) = 0.844417
  fft 6: mflops = 7.19254 (norm. = 0.720165), norm. avg. (of 11) = 0.715034

Benchmarking for array size = 105x105x105:
0. FFTW: elapsed time t=13.92 s, 1 iters, t-(init.)=13.68 s
    t(norm)=0.586678, mflops=8.52256 (err=4.8e-16)
1. PDA: elapsed time t=16.67 s, 1 iters, t-(init.)=16.42 s
    t(norm)=0.704185, mflops=7.10041 (err=5.5e-16)
2. PDA (f2c): elapsed time t=19.4 s, 1 iters, t-(init.)=19.16 s
    t(norm)=0.821692, mflops=6.085 (err=5.5e-16)
3. Singleton: elapsed time t=21.15 s, 1 iters, t-(init.)=20.91 s
    t(norm)=0.896742, mflops=5.57574 (err=6.5e-16)
4. Singleton (f2c): elapsed time t=19.75 s, 1 iters, t-(init.)=19.5 s
    t(norm)=0.836273, mflops=5.97891 (err=6.5e-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).

Top mflops for N=1157625 = 8.52256
Normalized results and averages for N=1157625:
  fft 0: mflops = 8.52256 (norm. = 1), norm. avg. (of 20) = 0.993261
  fft 1: mflops = 7.10041 (norm. = 0.83313), norm. avg. (of 20) = 0.635501
  fft 2: mflops = 6.085 (norm. = 0.713987), norm. avg. (of 20) = 0.583744
  fft 3: mflops = 5.57574 (norm. = 0.654232), norm. avg. (of 20) = 0.681506
  fft 4: mflops = 5.97891 (norm. = 0.701538), norm. avg. (of 20) = 0.735582
  fft 5: mflops = -1 (norm. = -0.117336), norm. avg. (of 11) = 0.844417
  fft 6: mflops = -1 (norm. = -0.117336), norm. avg. (of 11) = 0.715034

Benchmarking for array size = 112x112x112:
0. FFTW: elapsed time t=15.02 s, 1 iters, t-(init.)=14.72 s
    t(norm)=0.513043, mflops=9.74576 (err=5.3e-16)
1. PDA: elapsed time t=22.08 s, 1 iters, t-(init.)=21.78 s
    t(norm)=0.759109, mflops=6.58667 (err=5.6e-16)
2. PDA (f2c): elapsed time t=23.85 s, 1 iters, t-(init.)=23.55 s
    t(norm)=0.8208, mflops=6.09162 (err=5.7e-16)
3. Singleton: elapsed time t=25.48 s, 1 iters, t-(init.)=25.18 s
    t(norm)=0.877611, mflops=5.69729 (err=6.3e-16)
4. Singleton (f2c): elapsed time t=24.07 s, 1 iters, t-(init.)=23.77 s
    t(norm)=0.828467, mflops=6.03524 (err=6.3e-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).

Top mflops for N=1404928 = 9.74576
Normalized results and averages for N=1404928:
  fft 0: mflops = 9.74576 (norm. = 1), norm. avg. (of 21) = 0.993582
  fft 1: mflops = 6.58667 (norm. = 0.675849), norm. avg. (of 21) = 0.637423
  fft 2: mflops = 6.09162 (norm. = 0.625053), norm. avg. (of 21) = 0.585711
  fft 3: mflops = 5.69729 (norm. = 0.584591), norm. avg. (of 21) = 0.676891
  fft 4: mflops = 6.03524 (norm. = 0.619268), norm. avg. (of 21) = 0.730043
  fft 5: mflops = -1 (norm. = -0.102609), norm. avg. (of 11) = 0.844417
  fft 6: mflops = -1 (norm. = -0.102609), norm. avg. (of 11) = 0.715034

Benchmarking for array size = 120x120x120:
0. FFTW: elapsed time t=18.91 s, 1 iters, t-(init.)=18.54 s
    t(norm)=0.5178, mflops=9.65624 (err=4.7e-16)
1. PDA: elapsed time t=25.37 s, 1 iters, t-(init.)=25 s
    t(norm)=0.69822, mflops=7.16106 (err=4.8e-16)
2. PDA (f2c): elapsed time t=26.46 s, 1 iters, t-(init.)=26.09 s
    t(norm)=0.728663, mflops=6.86189 (err=4.9e-16)
3. Singleton: elapsed time t=38.5 s, 1 iters, t-(init.)=38.13 s
    t(norm)=1.06493, mflops=4.69516 (err=5.6e-16)
4. Singleton (f2c): elapsed time t=36.64 s, 1 iters, t-(init.)=36.26 s
    t(norm)=1.0127, mflops=4.9373 (err=5.6e-16)
5. Temperton: elapsed time t=21.04 s, 1 iters, t-(init.)=20.67 s
    t(norm)=0.577289, mflops=8.66118 (err=2.0e-08)
6. Temperton (f2c): elapsed time t=24.27 s, 1 iters, t-(init.)=23.9 s
    t(norm)=0.667499, mflops=7.49065 (err=5.7e-16)

Top mflops for N=1728000 = 9.65624
Normalized results and averages for N=1728000:
  fft 0: mflops = 9.65624 (norm. = 1), norm. avg. (of 22) = 0.993874
  fft 1: mflops = 7.16106 (norm. = 0.7416), norm. avg. (of 22) = 0.642158
  fft 2: mflops = 6.86189 (norm. = 0.710617), norm. avg. (of 22) = 0.591389
  fft 3: mflops = 4.69516 (norm. = 0.486231), norm. avg. (of 22) = 0.668225
  fft 4: mflops = 4.9373 (norm. = 0.511307), norm. avg. (of 22) = 0.7201
  fft 5: mflops = 8.66118 (norm. = 0.896952), norm. avg. (of 12) = 0.848795
  fft 6: mflops = 7.49065 (norm. = 0.775732), norm. avg. (of 12) = 0.720092

Benchmarking for array size = 144x144x144:
0. FFTW: elapsed time t=36.11 s, 1 iters, t-(init.)=35.47 s
    t(norm)=0.552253, mflops=9.05383 (err=5.8e-16)
1. PDA: elapsed time t=46.48 s, 1 iters, t-(init.)=45.84 s
    t(norm)=0.713709, mflops=7.00565 (err=5.7e-16)
2. PDA (f2c): elapsed time t=46.64 s, 1 iters, t-(init.)=45.99 s
    t(norm)=0.716045, mflops=6.98281 (err=5.8e-16)
3. Singleton: elapsed time t=63.18 s, 1 iters, t-(init.)=62.54 s
    t(norm)=0.973721, mflops=5.13494 (err=6.0e-16)
4. Singleton (f2c): elapsed time t=60.66 s, 1 iters, t-(init.)=60.02 s
    t(norm)=0.934486, mflops=5.35054 (err=5.8e-16)
5. Temperton: elapsed time t=39.22 s, 1 iters, t-(init.)=38.58 s
    t(norm)=0.600674, mflops=8.32398 (err=1.8e-07)
6. Temperton (f2c): elapsed time t=46.28 s, 1 iters, t-(init.)=45.64 s
    t(norm)=0.710595, mflops=7.03635 (err=6.6e-16)

Top mflops for N=2985984 = 9.05383
Normalized results and averages for N=2985984:
  fft 0: mflops = 9.05383 (norm. = 1), norm. avg. (of 23) = 0.99414
  fft 1: mflops = 7.00565 (norm. = 0.773778), norm. avg. (of 23) = 0.647881
  fft 2: mflops = 6.98281 (norm. = 0.771255), norm. avg. (of 23) = 0.599209
  fft 3: mflops = 5.13494 (norm. = 0.567157), norm. avg. (of 23) = 0.66383
  fft 4: mflops = 5.35054 (norm. = 0.59097), norm. avg. (of 23) = 0.714486
  fft 5: mflops = 8.32398 (norm. = 0.919388), norm. avg. (of 13) = 0.854225
  fft 6: mflops = 7.03635 (norm. = 0.777169), norm. avg. (of 13) = 0.724483

------------------------------------------------------
@@@@ 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), QFT, Ransom, SCIPORT, Singleton, Singleton (f2c), Sorensen, Sorensen DIT, Temperton, Temperton (f2c), Valkenburg
2, 8.88624, 8.45626, 6.35501, 0.612486, 2.22156, 1.51528, 2.54509, 2.47306, 8.0044, 2.29951, 1.68041, , 4.16102, 3.36082, 9.53251, 9.70904, 10.9227, , 2.57004, 1.57918, 1.33747, 6.20459, , , , , 0.824352, 0.65536, 1.54202, 1.44035, 8.66592, 8.0044, , , , 1.43248, 1.55115, 7.82519, 7.3327, 1.9563, 1.69125, 2.44994
4, 12.3362, 11.6508, 5.51882, 1.91346, 3.15836, 2.01649, 6.47269, 4.80998, 5.40503, 6.31672, 1.22497, 5.60736, 8.59489, 7.43671, 14.9797, 15.0874, 16.257, , 5.24288, 2.75941, 2.31986, 12.1927, 6.59482, 6.39376, 6.47269, 2.20289, 1.54202, 2.42726, 2.70252, 2.49661, 10.9227, 10.2802, , 1.37971, 3.74491, 3.85506, 4.06425, 8.192, 5.69878, 5.19097, 4.55903, 2.42726
8, 12.7875, 12.8923, 5.82542, 2.25986, 4.4939, 2.53688, 6.83854, 5.27807, 5.1067, 9.59063, 3.78092, 5.17389, 9.59063, 8.93673, 15.4202, 15.4202, 15.1237, 9.03945, 6.34219, 4.25098, 3.44926, 10.999, 8.32203, 8.192, 8.23489, 4.096, 2.18453, 4.54585, 4.13912, 3.81763, 12.0066, 11.4808, , 1.85479, 3.22308, 3.74491, 4.25098, 9.47508, 5.27807, 6.72164, 6.04948, 2.47306
16, 7.48983, 7.82519, 5.99186, 3.03057, 4.94611, 2.68866, 7.54371, 6.39376, 4.80998, 11.6508, 5.14008, 4.99322, 10.4858, 9.98644, 14.7687, 14.5636, 13.7069, 7.65384, 7.59838, 5.57753, 4.44312, 10.9227, 7.18203, 7.65384, 8.192, 5.40503, 2.89662, 4.76625, 5.46133, 5.04123, 11.2147, 10.9227, 11.9837, 3.56659, 3.1023, 6.06113, 6.43298, 9.79978, 5.24288, 7.88403, 6.89853, 2.54509
32, 8.04123, 8.2957, 6.24152, 3.39565, 5.85143, 2.6859, 8.5668, 6.7913, 4.92752, 8.79678, 8.85622, 5.16031, 9.5673, 9.16587, 14.247, 14.0938, 13.2396, 8.04123, 7.1624, 6.48871, 5.24288, 10.4858, 7.57642, 8.40205, 8.85622, 6.5536, 3.2768, 6.06815, 6.6198, 5.95782, 11.1078, 10.7436, 11.0145, 4.02061, 2.95207, 6.5536, 7.12348, 10.0825, 5.3718, 7.9922, 6.4251, 2.56
64, 7.48983, 7.98408, 6.49944, 4.13912, 6.09637, 2.60408, 8.78695, 7.34983, 5.14008, 8.98779, 8.192, 5.27807, 9.76934, 9.30689, 13.5592, 12.1927, 11.3156, 8.68986, 7.78646, 7.21497, 5.69878, 10.0182, 7.41917, 8.27823, 8.88624, 7.41917, 3.67492, 6.89853, 7.28178, 6.60867, 10.999, 10.773, 10.2802, 5.53825, 2.95651, 7.28178, 7.71012, 10.4163, 5.61737, 8.83631, 7.34983, 2.62144
128, 7.9783, 8.34095, 6.79633, 4.02414, 6.64858, 2.56286, 8.90781, 7.58268, 5.36552, 9.50781, 10.2514, 5.52713, 9.97287, 9.86563, 12.3155, 12.1524, 11.2577, 8.192, 7.77546, 7.64587, 5.99676, 9.50781, 7.84191, 8.6557, 9.4103, 7.45938, 3.88773, 7.00385, 7.84191, 7.168, 10.731, 10.6687, 10.0274, 5.56063, 2.8672, 7.11243, 7.71012, 10.4858, 5.95782, 8.41747, 7.28178, 2.60655
256, 7.88403, 8.38861, 7.03742, 4.096, 6.59482, 2.54509, 9.27943, 7.94376, 5.66798, 10.2802, 10.4858, 5.79324, 9.89223, 9.70904, 12.1223, 11.9156, 11.096, 8.192, 8.192, 7.88403, 6.24152, 9.27943, 7.94376, 8.81156, 9.36229, 8.0044, 4.096, 7.43671, 8.192, 7.38434, 10.5917, 10.5917, 9.70904, 6.39376, 2.83399, 7.76723, 8.06597, 10.3819, 6.06113, 8.73813, 7.28178, 2.64792
512, 8.24929, 8.67388, 7.28178, 4.21303, 6.48158, 2.52062, 9.51329, 7.97059, 5.89824, 10.2578, 10.4394, 6.01861, 8.93673, 8.73813, 12.0372, 11.7965, 10.1694, 8.42606, 7.51368, 8.07978, 6.37648, 9.216, 8.24929, 9.28857, 9.74916, 8.1355, 4.12464, 7.56185, 8.42606, 7.56185, 10.6275, 10.4394, 9.216, 6.44616, 2.70561, 7.76084, 8.1355, 10.4394, 6.48158, 8.48668, 6.77959, 2.63314
1024, 7.9922, 8.68026, 7.28178, 4.51972, 5.4162, 2.46376, 8.97753, 7.84862, 5.85143, 10.1606, 10.4025, 6.01248, 8.5668, 8.24352, 11.3976, 10.7436, 9.42964, 7.84862, 6.93503, 7.9922, 6.4251, 8.45626, 8.24352, 9.03945, 9.42964, 8.192, 3.97188, 7.08497, 8.51117, 7.62047, 10.4025, 10.4025, 8.73813, 6.93503, 2.50137, 7.8019, 8.192, 9.70904, 6.72164, 8.09086, 6.86241, 2.56
2048, 7.31874, 7.9657, 6.37961, 4.36907, 5.33997, 2.37137, 8.53131, 7.39381, 5.50302, 8.89995, 9.48547, 5.58834, 8.48113, 8.33406, 10.6799, 10.4478, 9.36229, 7.35608, 7.06761, 6.80091, 5.30071, 8.23881, 8.43153, 9.36229, 9.42348, 7.13758, 3.98285, 6.49456, 7.54865, 7.06761, 9.94339, 9.74184, 8.84535, 6.43657, 2.53837, 6.61372, 6.99899, 8.53131, 6.26866, 7.62853, 6.61372, 2.55637
4096, 6.49944, 7.41917, 5.8689, 4.39347, 5.04123, 2.32672, 8.02482, 7.21497, 5.1067, 8.88624, 9.53251, 5.20816, 8.27823, 8.10755, 10.9227, 10.6998, 8.73813, 7.08497, 6.83854, 6.19238, 4.9152, 8.23489, 7.78646, 8.41104, 8.54817, 6.66468, 4.096, 6.29146, 6.89853, 6.39376, 9.53251, 9.47508, 8.02482, 6.95958, 2.42726, 6.77959, 6.95958, 7.71012, 5.8689, 7.28178, 6.39376, 2.52062
8192, 7.04106, 7.60686, 6.12927, 4.23865, 5.07124, 2.32778, 8.192, 7.28178, 5.3248, 9.16095, 8.87467, 5.46133, 7.88859, 7.67539, 10.5835, 10.6496, 8.51968, 7.09973, 6.50357, 6.40577, 5.01158, , 7.96232, 8.51968, 8.35263, 6.76165, 4.05699, 6.21874, 7.15939, 6.656, 9.5192, 9.5192, 7.88859, 6.87071, 2.39317, 6.70841, 7.04106, 7.81622, 6.08549, 7.15939, 5.91644, 2.39317
16384, 6.69711, 7.58268, 5.99676, 4.68114, 4.68114, 2.29376, 8.2658, 7.168, 5.30349, 9.17504, 9.26772, 5.39708, 7.52052, 7.39923, 10.546, 10.0825, 8.192, 6.79633, 6.60075, 6.24152, 4.90644, , 7.71012, 8.1195, 8.192, 6.79633, 4.096, 6.15774, 6.89853, 6.41611, 9.50781, 9.50781, 7.45938, 7.22444, 2.29376, 6.79633, 6.95079, 7.45938, 6.07619, 7.22444, 6.15774, 2.30529
32768, 6.4251, 7.22824, 5.64966, 4.38857, 4.63698, 2.25468, 7.9922, 6.97191, 5.06722, 9.45231, 9.36229, 5.14681, 7.62047, 7.50412, 10.1869, 10.031, 7.74047, 6.68735, 6.59758, 5.88647, 4.55111, , 7.44727, 8.192, 8.192, 6.34219, 4.02885, 5.88647, 6.5536, 6.144, 9.18729, 9.10222, 7.07223, 6.92282, 2.25468, 5.99415, 6.22177, 6.87441, 5.78259, 6.77959, 5.92193, 2.25468
65536, 6.06113, 6.80894, 5.40503, 4.72332, 4.44312, 2.25986, 7.76723, 6.72164, 4.89989, 8.66592, 8.52501, 5.04123, 7.59838, 7.38434, 10.0825, 10.1803, 7.59838, 6.59482, 6.59482, 5.60736, 4.44312, , 7.54371, 7.88403, 7.82519, 6.09637, 3.85506, 5.24288, 5.85797, 5.60736, 8.88624, 9.11805, 6.67883, 6.80894, 2.15756, 6.39376, 6.47269, 6.72164, 5.57753, 6.76501, 5.85797, 2.21219
131072, 6.12149, 6.67133, 5.23057, 4.47435, 4.38627, 2.23717, 7.6309, 6.63162, 4.80221, 8.63653, 8.63653, 4.86512, 7.09625, 6.91995, 9.94743, 9.94743, 7.28178, 6.25906, 6.33018, 5.35631, 4.38627, , 7.14174, 7.52778, 7.42741, 6.05496, 4.0076, 5.51541, 5.80267, 5.59855, 8.9129, 8.84216, 6.4774, 6.63162, 2.21054, 6.12149, 6.22409, 6.51527, 5.43469, 6.33018, 5.59855, 2.16332
262144, 5.85433, 6.48158, 5.1289, 4.9565, 4.25098, 2.21738, 7.685, 6.6459, 4.74707, 6.68356, 6.68356, 4.80508, 6.95958, 6.83854, 9.59063, 9.28857, 7.10631, 6.27472, 6.34219, 5.30179, 4.31316, , 6.91876, 7.28178, 7.06376, 5.95782, 4.10312, 5.59075, 5.83984, 5.53825, 8.86953, 8.903, 5.95782, 7.06376, 2.16847, 6.20867, 6.29146, 6.25808, 5.41123, 6.51739, 5.71258, 2.09715

Norm. Avg., 0.652152, 0.692367, 0.523522, 0.333051, 0.424406, 0.200227, 0.672446, 0.575478, 0.460883, 0.74307, 0.684451, 0.45526, 0.705158, 0.678748, 0.987685, 0.969498, 0.855941, 0.642225, 0.567662, 0.511991, 0.407181, 0.734683, 0.653163, 0.702867, 0.718801, 0.555533, 0.304223, 0.48754, 0.543466, 0.50237, 0.851639, 0.838849, 0.741585, 0.504817, 0.221719, 0.531091, 0.555498, 0.721652, 0.506689, 0.604681, 0.516904, 0.207833

------------------------------------------------------
@@@@ bench.1d.np2.dat
N, Brenner, CWP (min N), CWP (best N), FFTPACK, FFTPACK (f2c), FFTW, FFTW_ESTIMATE, Frigo-old, GSL, Nielsen, Singleton, Singleton (f2c), Temperton, Temperton (f2c), Valkenburg
6, , 6.91462, 2.42012, 7.41933, 6.96198, 13.7358, 13.4629, 4.27079, 5.67848, 2.0329, 3.21661, 3.60443, 5.08224, 4.3438, 2.93771
9, 2.4345, 7.85587, 4.49447, 7.41944, 7.24689, 11.1292, 11.1292, 3.22362, 4.9726, 3.20154, 4.58259, 5.10846, 5.66575, 4.92026, 2.71758
12, , 10.1415, 6.64936, 9.09461, 8.59552, 15.3224, 15.1577, 5.22098, 6.52623, 3.9821, 4.69888, 5.22098, 7.96421, 6.77723, 2.62997
15, 2.94527, 8.80878, 9.23228, 8.3492, 7.44308, 12.3891, 12.4696, 3.26584, 5.33421, 4.36435, 4.89876, 5.27559, 7.50123, 6.66776, 2.5135
18, 2.82055, 9.17732, 6.08793, 7.4082, 7.23389, 10.1633, 9.76001, 3.66, 6.61162, 3.68192, 5.16706, 5.856, 6.75693, 5.69334, 2.745
24, , 11.4833, 8.92515, 8.58515, 8.27009, 12.52, 12.3485, 6.04993, 7.57513, 5.49659, 5.18069, 5.85351, 8.6677, 7.57513, 2.66698
36, 3.34358, 10.8133, 10.8133, 8.15333, 7.98258, 11.9115, 11.8192, 4.30699, 7.85914, 5.25749, 6.14787, 6.68716, 8.47041, 7.12464, 2.72263
80, 4.6657, 12.1857, 10.8459, 9.16624, 8.3531, 10.5156, 11.0779, 6.022, 6.81437, 6.81437, 7.39846, 7.67248, 9.41622, 8.09207, 2.58946
108, 3.55732, 9.76518, 11.6724, 8.25455, 8.34678, 11.1498, 11.1498, 3.95257, 7.54582, 5.92886, 6.2253, 6.98165, 8.25455, 6.98165, 2.78745
210, 3.80475, 10.7719, 10.8423, 7.6095, 6.97005, 10.4332, 9.701, 3.3445, 6.38027, 6.38027, 6.09879, 6.79865, , , 2.34304
504, 4.16649, 11.2455, 11.2455, 7.4249, 7.10604, 10.435, 10.2503, 3.93974, 7.1499, 6.43491, 6.32942, 7.23928, , , 2.47497
1000, 3.96155, 8.98324, 10.9967, 7.68446, 7.20689, 9.81246, 9.81246, 3.96155, 5.74604, 7.4164, 7.82589, 8.22981, 7.82589, 6.89525, 2.43439
1960, 3.8321, 9.94125, 9.94125, 6.47119, 5.96475, 9.66121, 9.26954, 3.57264, 6.12452, 6.41071, 6.85946, 7.49668, , , 2.21273
4725, 3.57667, 8.54427, 10.1965, 6.63871, 6.4082, 9.04687, 8.78839, 2.84809, 6.19316, 6.03125, 6.19316, 6.63871, , , 2.30695
10368, 4.06787, 9.53845, 9.53845, 7.68375, 7.63076, 10.0587, 9.37678, 4.53467, 7.84724, 5.88543, 6.07945, 6.58607, 7.04752, 6.11304, 2.49203
27000, 3.45616, 9.6941, 9.75357, 7.22651, 6.91232, 8.41181, 8.88175, 3.28478, 6.51571, 6.35933, 5.97681, 6.41062, 6.73658, 5.84497, 2.29745
75600, 3.34749, 9.07542, 9.21189, 6.38115, 6.18778, 9.80145, 8.87812, 3.24122, 6.44832, 5.8342, 5.72515, 5.94748, , , 2.13446
165375, 3.09594, 8.48177, 8.43188, 5.26992, 5.11935, 8.63506, 8.05292, 2.53254, 6.02277, 5.30896, 5.57751, 6.04818, , , 1.97169
362880, 3.37466, 4.56545, 4.55924, 6.29895, 6.28713, 10.0331, 8.25379, 3.40207, 6.93797, 5.632, 5.07733, 5.38752, , , 2.05838

Norm. Avg., 0.332119, 0.847154, 0.799112, 0.672911, 0.643982, 0.963986, 0.935227, 0.349967, 0.594751, 0.496598, 0.526943, 0.573616, 0.63763, 0.549579, 0.222906

------------------------------------------------------
@@@@ bench.3d.p2.dat
Array Dimensions, FFTW, HARM, HARM (f2c), NR (C), NR (F), PDA, PDA (f2c), Singleton, Singleton (f2c), Temperton, Temperton (f2c)
4x4x4, 15.4202, , , 7.71012, 6.89853, 6.04948, 5.1067, 8.54817, 9.14456, 11.9156, 9.19804
8x8x8, 15.3201, 11.2347, 9.59063, 9.00495, 8.24929, 7.81224, 7.10631, 8.192, 9.36229, 11.7965, 9.14456
16x16x16, 13.6771, 10.6998, 9.03945, 7.48983, 7.14938, 8.23489, 7.78646, 7.28178, 7.71012, 10.6998, 8.78695
32x32x32, 12.7668, 9.27396, 7.92774, 6.34219, 6.22177, 7.62047, 7.28178, 6.10584, 6.4251, 9.10222, 7.44727
64x64x64, 11.9761, 9.51329, 7.76084, 5.61737, 5.474, 7.56185, 7.34983, 6.17617, 6.35929, 9.10925, 7.51368
256x64x32, 10.6199, 9.22359, 7.6509, 5.57129, 5.43156, 7.38982, 7.22893, 5.91536, 6.07407, 8.83109, 7.30313
16x1024x64, 10.4129, 9.25486, 7.61493, 5.53923, 5.39391, 7.1673, 6.98585, 6.01593, 6.19726, , 
128x128x128, 9.43045, 8.82923, 7.44677, 5.1067, 4.98869, 7.26976, 7.24107, 4.82051, 5.03086, 7.76175, 6.50712

Norm. Avg., 1, 0.818568, 0.68533, 0.524913, 0.501429, 0.610961, 0.583479, 0.53267, 0.562838, 0.779033, 0.632038

------------------------------------------------------
@@@@ bench.3d.np2.dat
Array Dimensions, FFTW, PDA, PDA (f2c), Singleton, Singleton (f2c), Temperton, Temperton (f2c)
5x5x5, 10.8075, 6.46102, 5.27586, 12.1309, 11.8883, 9.28771, 7.89045
6x6x6, 13.506, 5.91468, 5.60542, 7.72638, 8.93363, 9.74578, 8.09084
7x7x7, 11.0377, 3.87186, 3.42373, 9.48109, 10.7177, , 
9x9x9, 10.7561, 7.09901, 6.672, 8.14107, 9.14821, 8.4512, 7.15626
10x10x10, 12.2656, 7.33115, 6.44253, 8.02277, 8.67769, 9.88853, 8.07355
11x11x11, 9.35518, 3.77805, 3.48057, 8.50062, 9.16129, , 
12x12x12, 14.0758, 7.57582, 7.16509, 7.48053, 8.31751, 10.912, 9.22019
13x13x13, 8.76929, 3.48423, 3.36408, 7.88351, 8.7203, , 
14x14x14, 11.4623, 5.36336, 5.0654, 7.16392, 8.22089, , 
15x15x15, 11.8302, 8.27342, 7.19223, 7.23333, 7.81378, 9.37654, 8.0116
24x25x28, 9.06953, 7.14569, 6.59602, 6.83501, 7.48596, , 
48x48x48, 10.1811, 7.2951, 7.23811, 5.82691, 6.05541, 9.26478, 7.85151
49x49x49, 8.76856, 6.23175, 5.44422, 6.51873, 7.1284, , 
60x60x60, 9.56916, 7.33269, 6.81079, 5.42162, 5.69593, 9.33577, 8.00767
72x60x56, 9.70076, 7.0236, 6.65621, 5.0662, 5.40817, , 
75x75x75, 9.06132, 7.96298, 7.10212, 6.35754, 6.60247, 8.28083, 7.06393
80x80x80, 8.9087, 7.3342, 6.87711, 5.97936, 6.1693, 9.14358, 7.79332
84x84x84, 9.3936, 6.46545, 5.98854, 5.01158, 5.4125, , 
96x96x96, 9.98735, 7.15719, 7.09329, 5.10452, 5.31242, 8.4109, 7.19254
105x105x105, 8.52256, 7.10041, 6.085, 5.57574, 5.97891, , 
112x112x112, 9.74576, 6.58667, 6.09162, 5.69729, 6.03524, , 
120x120x120, 9.65624, 7.16106, 6.86189, 4.69516, 4.9373, 8.66118, 7.49065
144x144x144, 9.05383, 7.00565, 6.98281, 5.13494, 5.35054, 8.32398, 7.03635

Norm. Avg., 0.99414, 0.647881, 0.599209, 0.66383, 0.714486, 0.854225, 0.724483
@@@@ end