To: benchfft@theory.lcs.mit.edu
Subject: SUBMIT
-------------------
@@SUBMIT@@
@ submitter = Roger Koch
@ submitter email = PRIVATE
@ submitter organization = IBM Research
@ computer manufacturer = IBM
@ computer model = IntelliStation M Pro
@ CPU manufacturer = Intel
@ CPU model = Pentium II
@ CPU speed = 300 MHz
@ RAM = 256 MB
@ L2 cache size = 512KB
@ operating system = Windows NT 4.0
@ C compiler = Intel C/C++ V 2.4
@ C compiler flags = all
@ Fortran compiler = NONE
@ Fortran compiler flags = NONE
@ remarks = Intel, with default speed opts (/O2)
@ 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)  524288 (50.9973 MB)  1048576 (96 MB)  2097152 (192 MB)
Maximum array size = 2097152

Benchmarking FFTs:
0. Arndt DIF
1. Arndt DIT
2. Arndt Split-Radix
3. Arndt 4-step
4. Beauregard
5. Bergland
6. CWP (min N)
7. CWP (best N)
8. Edelblute
9. FFTPACK (f2c)
10. FFTW
11. FFTW_ESTIMATE
12. Frigo-old
13. Green
14. GSL
15. GSL DIT
16. GSL DIF
17. Krukar
18. Mayer (Buneman)
19. Mayer (simple)
20. Mayer (lookup)
21. NAPACK (f2c)
22. Ooura (C)
23. Ransom
24. Singleton (f2c)
25. Temperton (f2c)
26. Valkenburg


Computing normalized averages (27 transforms).

Benchmarking for array size = 2 (power of 2):
0. Arndt DIF: elapsed time t=1.522 s, 4194304 iters, t-(init.)=1.061 s
    t(norm)=0.126481, mflops=39.5316 (err=1.5e-017)
1. Arndt DIT: elapsed time t=1.442 s, 4194304 iters, t-(init.)=0.982 s
    t(norm)=0.117064, mflops=42.7119 (err=1.5e-017)
2. Arndt Split-Radix: elapsed time t=1.672 s, 4194304 iters, t-(init.)=1.211 s
    t(norm)=0.144362, mflops=34.635 (err=1.5e-017)
3. Arndt 4-step: elapsed time t=1.532 s, 262144 iters, t-(init.)=1.502 s
    t(norm)=2.86484, mflops=1.7453 (err=1.5e-017)
4. Beauregard: elapsed time t=1.622 s, 1048576 iters, t-(init.)=1.502 s
    t(norm)=0.716209, mflops=6.9812 (err=1.2e-016)
5. Bergland: elapsed time t=1.492 s, 1048576 iters, t-(init.)=1.371 s
    t(norm)=0.653744, mflops=7.64826 (err=1.2e-016)
6. CWP (min N): elapsed time t=1.092 s, 524288 iters, t-(init.)=1.032 s
    t(norm)=0.984192, mflops=5.08031
7. CWP (best N) (N=3): elapsed time t=1.231 s, 524288 iters, t-(init.)=1.16 s
    t(norm)=1.10626, mflops=4.51972
8. Skipping fft (Edelblute can't handle N <= 2).
9. FFTPACK (f2c): elapsed time t=1.042 s, 1048576 iters, t-(init.)=0.922 s
    t(norm)=0.439644, mflops=11.3728 (err=1.2e-016)

FFTW_MEASURE plan: (cost = 4.577637e-007)
FFTW_NOTW 2

10. FFTW: elapsed time t=1.051 s, 2097152 iters, t-(init.)=0.81 s
    t(norm)=0.193119, mflops=25.8908 (err=1.2e-016)

FFTW_ESTIMATE plan: (cost = 1.820000e+002)
FFTW_NOTW 2

11. FFTW_ESTIMATE: elapsed time t=1.062 s, 2097152 iters, t-(init.)=0.822 s
    t(norm)=0.19598, mflops=25.5128 (err=1.2e-016)
12. Frigo-old: elapsed time t=1.091 s, 4194304 iters, t-(init.)=0.6 s
    t(norm)=0.0715256, mflops=69.9051 (err=1.2e-016)
13. Skipping fft (Green can't handle this size.).
14. GSL: elapsed time t=1.742 s, 2097152 iters, t-(init.)=1.502 s
    t(norm)=0.358105, mflops=13.9624 (err=1.2e-016)
15. GSL DIT: elapsed time t=1.232 s, 1048576 iters, t-(init.)=1.112 s
    t(norm)=0.530243, mflops=9.42964 (err=1.2e-016)
16. GSL DIF: elapsed time t=1.272 s, 1048576 iters, t-(init.)=1.152 s
    t(norm)=0.549316, mflops=9.10222 (err=1.2e-016)
17. Krukar: elapsed time t=1.031 s, 2097152 iters, t-(init.)=0.791 s
    t(norm)=0.188589, mflops=26.5127 (err=1.2e-016)
18. Skipping fft (Mayer can't handle N <= 2).
19. Skipping fft (Mayer can't handle N <= 2).
20. Skipping fft (Mayer can't handle N <= 2).
21. NAPACK (f2c): elapsed time t=1.252 s, 524288 iters, t-(init.)=1.192 s
    t(norm)=1.13678, mflops=4.39839 (err=2.1e-016)
22. Ooura (C): elapsed time t=1.963 s, 4194304 iters, t-(init.)=1.483 s
    t(norm)=0.176787, mflops=28.2826 (err=1.2e-016)
23. Skipping fft (Ransom doesn't work for N=2).
24. Singleton (f2c): elapsed time t=1.423 s, 1048576 iters, t-(init.)=1.303 s
    t(norm)=0.621319, mflops=8.0474 (err=1.2e-016)
25. Temperton (f2c): elapsed time t=1.452 s, 524288 iters, t-(init.)=1.392 s
    t(norm)=1.32751, mflops=3.76644 (err=1.2e-016)
26. Valkenburg: elapsed time t=1.392 s, 1048576 iters, t-(init.)=1.272 s
    t(norm)=0.606537, mflops=8.24352 (err=2.1e-016)

Top mflops for N=2 = 69.9051
Normalized results and averages for N=2:
  fft 0: mflops = 39.5316 (norm. = 0.565504), norm. avg. (of 1) = 0.565504
  fft 1: mflops = 42.7119 (norm. = 0.610998), norm. avg. (of 1) = 0.610998
  fft 2: mflops = 34.635 (norm. = 0.495458), norm. avg. (of 1) = 0.495458
  fft 3: mflops = 1.7453 (norm. = 0.0249667), norm. avg. (of 1) = 0.0249667
  fft 4: mflops = 6.9812 (norm. = 0.0998668), norm. avg. (of 1) = 0.0998668
  fft 5: mflops = 7.64826 (norm. = 0.109409), norm. avg. (of 1) = 0.109409
  fft 6: mflops = 5.08031 (norm. = 0.0726744), norm. avg. (of 1) = 0.0726744
  fft 7: mflops = 4.51972 (norm. = 0.0646552), norm. avg. (of 1) = 0.0646552
  fft 8: mflops = -1 (norm. = -0.0143051), norm. avg. (of 0) = -1
  fft 9: mflops = 11.3728 (norm. = 0.16269), norm. avg. (of 1) = 0.16269
  fft 10: mflops = 25.8908 (norm. = 0.37037), norm. avg. (of 1) = 0.37037
  fft 11: mflops = 25.5128 (norm. = 0.364964), norm. avg. (of 1) = 0.364964
  fft 12: mflops = 69.9051 (norm. = 1), norm. avg. (of 1) = 1
  fft 13: mflops = -1 (norm. = -0.0143051), norm. avg. (of 0) = -1
  fft 14: mflops = 13.9624 (norm. = 0.199734), norm. avg. (of 1) = 0.199734
  fft 15: mflops = 9.42964 (norm. = 0.134892), norm. avg. (of 1) = 0.134892
  fft 16: mflops = 9.10222 (norm. = 0.130208), norm. avg. (of 1) = 0.130208
  fft 17: mflops = 26.5127 (norm. = 0.379267), norm. avg. (of 1) = 0.379267
  fft 18: mflops = -1 (norm. = -0.0143051), norm. avg. (of 0) = -1
  fft 19: mflops = -1 (norm. = -0.0143051), norm. avg. (of 0) = -1
  fft 20: mflops = -1 (norm. = -0.0143051), norm. avg. (of 0) = -1
  fft 21: mflops = 4.39839 (norm. = 0.0629195), norm. avg. (of 1) = 0.0629195
  fft 22: mflops = 28.2826 (norm. = 0.404585), norm. avg. (of 1) = 0.404585
  fft 23: mflops = -1 (norm. = -0.0143051), norm. avg. (of 0) = -1
  fft 24: mflops = 8.0474 (norm. = 0.115119), norm. avg. (of 1) = 0.115119
  fft 25: mflops = 3.76644 (norm. = 0.0538793), norm. avg. (of 1) = 0.0538793
  fft 26: mflops = 8.24352 (norm. = 0.117925), norm. avg. (of 1) = 0.117925

Benchmarking for array size = 4 (power of 2):
0. Arndt DIF: elapsed time t=1.623 s, 2097152 iters, t-(init.)=1.293 s
    t(norm)=0.0770688, mflops=64.8771 (err=1.0e-016)
1. Arndt DIT: elapsed time t=1.652 s, 2097152 iters, t-(init.)=1.331 s
    t(norm)=0.0793338, mflops=63.0249 (err=1.0e-016)
2. Arndt Split-Radix: elapsed time t=1.242 s, 1048576 iters, t-(init.)=1.072 s
    t(norm)=0.127792, mflops=39.126 (err=1.0e-016)
3. Arndt 4-step: elapsed time t=1.362 s, 262144 iters, t-(init.)=1.322 s
    t(norm)=0.630379, mflops=7.93174 (err=1.0e-016)
4. Beauregard: elapsed time t=1.362 s, 262144 iters, t-(init.)=1.322 s
    t(norm)=0.630379, mflops=7.93174 (err=1.9e-016)
5. Bergland: elapsed time t=1.792 s, 1048576 iters, t-(init.)=1.621 s
    t(norm)=0.193238, mflops=25.8748 (err=1.6e-016)
6. CWP (min N): elapsed time t=1.301 s, 524288 iters, t-(init.)=1.21 s
    t(norm)=0.288486, mflops=17.3318
7. CWP (best N) (N=15): elapsed time t=1.773 s, 262144 iters, t-(init.)=1.653 s
    t(norm)=0.788212, mflops=6.34347
8. Edelblute: elapsed time t=1.241 s, 1048576 iters, t-(init.)=1.07 s
    t(norm)=0.127554, mflops=39.1991 (err=1.0e-016)
9. FFTPACK (f2c): elapsed time t=1.592 s, 1048576 iters, t-(init.)=1.422 s
    t(norm)=0.169516, mflops=29.4958 (err=1.6e-016)

FFTW_MEASURE plan: (cost = 1.029968e-006)
FFTW_NOTW 4

10. FFTW: elapsed time t=1.182 s, 1048576 iters, t-(init.)=1.002 s
    t(norm)=0.119448, mflops=41.8593 (err=1.6e-016)

FFTW_ESTIMATE plan: (cost = 3.176000e+002)
FFTW_NOTW 4

11. FFTW_ESTIMATE: elapsed time t=1.181 s, 1048576 iters, t-(init.)=1 s
    t(norm)=0.119209, mflops=41.943 (err=1.6e-016)
12. Frigo-old: elapsed time t=1.582 s, 4194304 iters, t-(init.)=0.891 s
    t(norm)=0.0265539, mflops=188.296 (err=1.6e-016)
13. Skipping fft (Green can't handle this size.).
14. GSL: elapsed time t=1.292 s, 1048576 iters, t-(init.)=1.122 s
    t(norm)=0.133753, mflops=37.3824 (err=1.6e-016)
15. GSL DIT: elapsed time t=1.242 s, 524288 iters, t-(init.)=1.152 s
    t(norm)=0.274658, mflops=18.2044 (err=1.9e-016)
16. GSL DIF: elapsed time t=1.302 s, 524288 iters, t-(init.)=1.212 s
    t(norm)=0.288963, mflops=17.3032 (err=1.9e-016)
17. Krukar: elapsed time t=1.372 s, 2097152 iters, t-(init.)=1.032 s
    t(norm)=0.061512, mflops=81.285 (err=1.6e-016)
18. Mayer (Buneman): elapsed time t=1.973 s, 2097152 iters, t-(init.)=1.623 s
    t(norm)=0.0967383, mflops=51.6858 (err=1.0e-016)
19. Mayer (simple): elapsed time t=1.863 s, 2097152 iters, t-(init.)=1.533 s
    t(norm)=0.0913739, mflops=54.7202
20. Mayer (lookup): elapsed time t=1.933 s, 2097152 iters, t-(init.)=1.593 s
    t(norm)=0.0949502, mflops=52.6592 (err=1.0e-016)
21. NAPACK (f2c): elapsed time t=1.352 s, 262144 iters, t-(init.)=1.312 s
    t(norm)=0.62561, mflops=7.9922 (err=2.5e-016)
22. Ooura (C): elapsed time t=1.232 s, 1048576 iters, t-(init.)=1.062 s
    t(norm)=0.1266, mflops=39.4944 (err=1.6e-016)
23. Ransom: elapsed time t=1.852 s, 262144 iters, t-(init.)=1.812 s
    t(norm)=0.864029, mflops=5.78684 (err=2.3e-016)
24. Singleton (f2c): elapsed time t=1.833 s, 1048576 iters, t-(init.)=1.663 s
    t(norm)=0.198245, mflops=25.2213 (err=1.6e-016)
25. Temperton (f2c): elapsed time t=1.713 s, 524288 iters, t-(init.)=1.623 s
    t(norm)=0.386953, mflops=12.9215 (err=1.6e-016)
26. Valkenburg: elapsed time t=1.282 s, 262144 iters, t-(init.)=1.232 s
    t(norm)=0.587463, mflops=8.51117 (err=2.5e-016)

Top mflops for N=4 = 188.296
Normalized results and averages for N=4:
  fft 0: mflops = 64.8771 (norm. = 0.344548), norm. avg. (of 2) = 0.455026
  fft 1: mflops = 63.0249 (norm. = 0.334711), norm. avg. (of 2) = 0.472854
  fft 2: mflops = 39.126 (norm. = 0.207789), norm. avg. (of 2) = 0.351624
  fft 3: mflops = 7.93174 (norm. = 0.0421237), norm. avg. (of 2) = 0.0335452
  fft 4: mflops = 7.93174 (norm. = 0.0421237), norm. avg. (of 2) = 0.0709953
  fft 5: mflops = 25.8748 (norm. = 0.137415), norm. avg. (of 2) = 0.123412
  fft 6: mflops = 17.3318 (norm. = 0.0920455), norm. avg. (of 2) = 0.0823599
  fft 7: mflops = 6.34347 (norm. = 0.0336887), norm. avg. (of 2) = 0.049172
  fft 8: mflops = 39.1991 (norm. = 0.208178), norm. avg. (of 1) = 0.208178
  fft 9: mflops = 29.4958 (norm. = 0.156646), norm. avg. (of 2) = 0.159668
  fft 10: mflops = 41.8593 (norm. = 0.222305), norm. avg. (of 2) = 0.296338
  fft 11: mflops = 41.943 (norm. = 0.22275), norm. avg. (of 2) = 0.293857
  fft 12: mflops = 188.296 (norm. = 1), norm. avg. (of 2) = 1
  fft 13: mflops = -1 (norm. = -0.00531077), norm. avg. (of 0) = -1
  fft 14: mflops = 37.3824 (norm. = 0.198529), norm. avg. (of 2) = 0.199132
  fft 15: mflops = 18.2044 (norm. = 0.0966797), norm. avg. (of 2) = 0.115786
  fft 16: mflops = 17.3032 (norm. = 0.0918936), norm. avg. (of 2) = 0.111051
  fft 17: mflops = 81.285 (norm. = 0.431686), norm. avg. (of 2) = 0.405476
  fft 18: mflops = 51.6858 (norm. = 0.274492), norm. avg. (of 1) = 0.274492
  fft 19: mflops = 54.7202 (norm. = 0.290607), norm. avg. (of 1) = 0.290607
  fft 20: mflops = 52.6592 (norm. = 0.279661), norm. avg. (of 1) = 0.279661
  fft 21: mflops = 7.9922 (norm. = 0.0424447), norm. avg. (of 2) = 0.0526821
  fft 22: mflops = 39.4944 (norm. = 0.209746), norm. avg. (of 2) = 0.307166
  fft 23: mflops = 5.78684 (norm. = 0.0307326), norm. avg. (of 1) = 0.0307326
  fft 24: mflops = 25.2213 (norm. = 0.133945), norm. avg. (of 2) = 0.124532
  fft 25: mflops = 12.9215 (norm. = 0.0686229), norm. avg. (of 2) = 0.0612511
  fft 26: mflops = 8.51117 (norm. = 0.0452009), norm. avg. (of 2) = 0.0815627

Benchmarking for array size = 8 (power of 2):
0. Arndt DIF: elapsed time t=1.652 s, 1048576 iters, t-(init.)=1.371 s
    t(norm)=0.0544786, mflops=91.7791 (err=2.2e-016)
1. Arndt DIT: elapsed time t=1.683 s, 1048576 iters, t-(init.)=1.403 s
    t(norm)=0.0557502, mflops=89.6858 (err=2.2e-016)
2. Arndt Split-Radix: elapsed time t=1.782 s, 524288 iters, t-(init.)=1.632 s
    t(norm)=0.1297, mflops=38.5506 (err=1.8e-016)
3. Arndt 4-step: elapsed time t=1.833 s, 131072 iters, t-(init.)=1.803 s
    t(norm)=0.573158, mflops=8.72359 (err=2.0e-016)
4. Beauregard: elapsed time t=1.362 s, 131072 iters, t-(init.)=1.322 s
    t(norm)=0.420252, mflops=11.8976 (err=1.1e-016)
5. Bergland: elapsed time t=1.512 s, 524288 iters, t-(init.)=1.362 s
    t(norm)=0.108242, mflops=46.1928 (err=1.2e-016)
6. CWP (min N): elapsed time t=1.843 s, 524288 iters, t-(init.)=1.693 s
    t(norm)=0.134548, mflops=37.1616
7. CWP (best N) (N=15): elapsed time t=1.763 s, 262144 iters, t-(init.)=1.643 s
    t(norm)=0.261148, mflops=19.1462
8. Edelblute: elapsed time t=1.051 s, 262144 iters, t-(init.)=0.981 s
    t(norm)=0.155926, mflops=32.0665 (err=2.2e-016)
9. FFTPACK (f2c): elapsed time t=1.031 s, 262144 iters, t-(init.)=0.951 s
    t(norm)=0.151157, mflops=33.0781 (err=1.1e-016)

FFTW_MEASURE plan: (cost = 2.441406e-006)
FFTW_TWIDDLE 4
FFTW_NOTW 2

10. FFTW: elapsed time t=1.302 s, 524288 iters, t-(init.)=1.152 s
    t(norm)=0.0915527, mflops=54.6133 (err=1.1e-016)

FFTW_ESTIMATE plan: (cost = 4.688000e+002)
FFTW_NOTW 8

11. FFTW_ESTIMATE: elapsed time t=1.422 s, 524288 iters, t-(init.)=1.271 s
    t(norm)=0.10101, mflops=49.5 (err=1.1e-016)
12. Frigo-old: elapsed time t=1.592 s, 2097152 iters, t-(init.)=0.981 s
    t(norm)=0.0194907, mflops=256.532 (err=1.2e-016)
13. Green: elapsed time t=1.492 s, 1048576 iters, t-(init.)=1.201 s
    t(norm)=0.0477235, mflops=104.77 (err=1.5e-016)
14. GSL: elapsed time t=1.241 s, 524288 iters, t-(init.)=1.1 s
    t(norm)=0.0874201, mflops=57.1951 (err=1.1e-016)
15. GSL DIT: elapsed time t=1.192 s, 262144 iters, t-(init.)=1.122 s
    t(norm)=0.178337, mflops=28.0368 (err=1.3e-016)
16. GSL DIF: elapsed time t=1.312 s, 262144 iters, t-(init.)=1.242 s
    t(norm)=0.197411, mflops=25.3279 (err=1.2e-016)
17. Krukar: elapsed time t=1.221 s, 1048576 iters, t-(init.)=0.92 s
    t(norm)=0.0365575, mflops=136.771 (err=1.2e-016)
18. Mayer (Buneman): elapsed time t=1.002 s, 524288 iters, t-(init.)=0.842 s
    t(norm)=0.0669161, mflops=74.7204 (err=2.0e-016)
19. Mayer (simple): elapsed time t=2.003 s, 1048576 iters, t-(init.)=1.713 s
    t(norm)=0.0680685, mflops=73.4554
20. Mayer (lookup): elapsed time t=1.933 s, 1048576 iters, t-(init.)=1.623 s
    t(norm)=0.0644922, mflops=77.5287 (err=2.0e-016)
21. NAPACK (f2c): elapsed time t=1.533 s, 131072 iters, t-(init.)=1.493 s
    t(norm)=0.474612, mflops=10.5349 (err=2.7e-016)
22. Ooura (C): elapsed time t=1.432 s, 524288 iters, t-(init.)=1.292 s
    t(norm)=0.102679, mflops=48.6955 (err=1.2e-016)
23. Ransom: elapsed time t=1.191 s, 65536 iters, t-(init.)=1.171 s
    t(norm)=0.744502, mflops=6.7159 (err=2.5e-016)
24. Singleton (f2c): elapsed time t=1.352 s, 262144 iters, t-(init.)=1.282 s
    t(norm)=0.203768, mflops=24.5377 (err=1.6e-016)
25. Temperton (f2c): elapsed time t=1.282 s, 262144 iters, t-(init.)=1.202 s
    t(norm)=0.191053, mflops=26.1708 (err=1.1e-016)
26. Valkenburg: elapsed time t=1.863 s, 131072 iters, t-(init.)=1.823 s
    t(norm)=0.579516, mflops=8.62789 (err=2.0e-016)

Top mflops for N=8 = 256.532
Normalized results and averages for N=8:
  fft 0: mflops = 91.7791 (norm. = 0.357768), norm. avg. (of 3) = 0.422607
  fft 1: mflops = 89.6858 (norm. = 0.349608), norm. avg. (of 3) = 0.431772
  fft 2: mflops = 38.5506 (norm. = 0.150276), norm. avg. (of 3) = 0.284508
  fft 3: mflops = 8.72359 (norm. = 0.0340058), norm. avg. (of 3) = 0.0336987
  fft 4: mflops = 11.8976 (norm. = 0.0463786), norm. avg. (of 3) = 0.0627897
  fft 5: mflops = 46.1928 (norm. = 0.180066), norm. avg. (of 3) = 0.142297
  fft 6: mflops = 37.1616 (norm. = 0.144861), norm. avg. (of 3) = 0.103194
  fft 7: mflops = 19.1462 (norm. = 0.0746348), norm. avg. (of 3) = 0.0576596
  fft 8: mflops = 32.0665 (norm. = 0.125), norm. avg. (of 2) = 0.166589
  fft 9: mflops = 33.0781 (norm. = 0.128943), norm. avg. (of 3) = 0.149426
  fft 10: mflops = 54.6133 (norm. = 0.212891), norm. avg. (of 3) = 0.268522
  fft 11: mflops = 49.5 (norm. = 0.192958), norm. avg. (of 3) = 0.260224
  fft 12: mflops = 256.532 (norm. = 1), norm. avg. (of 3) = 1
  fft 13: mflops = 104.77 (norm. = 0.40841), norm. avg. (of 1) = 0.40841
  fft 14: mflops = 57.1951 (norm. = 0.222955), norm. avg. (of 3) = 0.207073
  fft 15: mflops = 28.0368 (norm. = 0.109291), norm. avg. (of 3) = 0.113621
  fft 16: mflops = 25.3279 (norm. = 0.0987319), norm. avg. (of 3) = 0.106945
  fft 17: mflops = 136.771 (norm. = 0.533152), norm. avg. (of 3) = 0.448035
  fft 18: mflops = 74.7204 (norm. = 0.291271), norm. avg. (of 2) = 0.282881
  fft 19: mflops = 73.4554 (norm. = 0.28634), norm. avg. (of 2) = 0.288473
  fft 20: mflops = 77.5287 (norm. = 0.302218), norm. avg. (of 2) = 0.29094
  fft 21: mflops = 10.5349 (norm. = 0.0410666), norm. avg. (of 3) = 0.0488103
  fft 22: mflops = 48.6955 (norm. = 0.189822), norm. avg. (of 3) = 0.268051
  fft 23: mflops = 6.7159 (norm. = 0.0261795), norm. avg. (of 2) = 0.0284561
  fft 24: mflops = 24.5377 (norm. = 0.0956513), norm. avg. (of 3) = 0.114905
  fft 25: mflops = 26.1708 (norm. = 0.102017), norm. avg. (of 3) = 0.0748399
  fft 26: mflops = 8.62789 (norm. = 0.0336327), norm. avg. (of 3) = 0.0655861

Benchmarking for array size = 16 (power of 2):
0. Arndt DIF: elapsed time t=1.903 s, 262144 iters, t-(init.)=1.793 s
    t(norm)=0.106871, mflops=46.7853 (err=1.3e-016)
1. Arndt DIT: elapsed time t=1.853 s, 262144 iters, t-(init.)=1.743 s
    t(norm)=0.103891, mflops=48.1274 (err=1.5e-016)
2. Arndt Split-Radix: elapsed time t=1.162 s, 131072 iters, t-(init.)=1.102 s
    t(norm)=0.131369, mflops=38.0608 (err=1.1e-016)
3. Arndt 4-step: elapsed time t=1.402 s, 65536 iters, t-(init.)=1.372 s
    t(norm)=0.32711, mflops=15.2854 (err=1.3e-016)
4. Beauregard: elapsed time t=1.523 s, 65536 iters, t-(init.)=1.493 s
    t(norm)=0.355959, mflops=14.0466 (err=2.2e-016)
5. Bergland: elapsed time t=1.492 s, 262144 iters, t-(init.)=1.372 s
    t(norm)=0.0817776, mflops=61.1415 (err=1.9e-016)
6. CWP (min N): elapsed time t=1.432 s, 262144 iters, t-(init.)=1.302 s
    t(norm)=0.0776052, mflops=64.4286
7. CWP (best N) (N=28): elapsed time t=1.492 s, 131072 iters, t-(init.)=1.392 s
    t(norm)=0.165939, mflops=30.1315
8. Edelblute: elapsed time t=1.462 s, 131072 iters, t-(init.)=1.402 s
    t(norm)=0.167131, mflops=29.9166 (err=1.4e-016)
9. FFTPACK (f2c): elapsed time t=1.973 s, 262144 iters, t-(init.)=1.843 s
    t(norm)=0.109851, mflops=45.516 (err=2.0e-016)

FFTW_MEASURE plan: (cost = 4.898071e-006)
FFTW_TWIDDLE 8
FFTW_NOTW 2

10. FFTW: elapsed time t=1.351 s, 262144 iters, t-(init.)=1.22 s
    t(norm)=0.0727177, mflops=68.7591 (err=2.1e-016)

FFTW_ESTIMATE plan: (cost = 4.256000e+002)
FFTW_NOTW 16

11. FFTW_ESTIMATE: elapsed time t=1.843 s, 262144 iters, t-(init.)=1.723 s
    t(norm)=0.102699, mflops=48.6861 (err=2.1e-016)
12. Frigo-old: elapsed time t=1.762 s, 1048576 iters, t-(init.)=1.261 s
    t(norm)=0.0187904, mflops=266.094 (err=2.1e-016)
13. Green: elapsed time t=1.932 s, 524288 iters, t-(init.)=1.701 s
    t(norm)=0.0506938, mflops=98.6315 (err=2.2e-016)
14. GSL: elapsed time t=1.092 s, 262144 iters, t-(init.)=0.972 s
    t(norm)=0.0579357, mflops=86.3026 (err=2.0e-016)
15. GSL DIT: elapsed time t=1.121 s, 131072 iters, t-(init.)=1.061 s
    t(norm)=0.126481, mflops=39.5316 (err=2.4e-016)
16. GSL DIF: elapsed time t=1.202 s, 131072 iters, t-(init.)=1.142 s
    t(norm)=0.136137, mflops=36.7277 (err=2.4e-016)
17. Krukar: elapsed time t=1.272 s, 524288 iters, t-(init.)=1.022 s
    t(norm)=0.030458, mflops=164.161 (err=2.5e-016)
18. Mayer (Buneman): elapsed time t=1.492 s, 262144 iters, t-(init.)=1.361 s
    t(norm)=0.0811219, mflops=61.6356 (err=1.3e-016)
19. Mayer (simple): elapsed time t=1.292 s, 262144 iters, t-(init.)=1.182 s
    t(norm)=0.0704527, mflops=70.9696
20. Mayer (lookup): elapsed time t=1.252 s, 262144 iters, t-(init.)=1.132 s
    t(norm)=0.0674725, mflops=74.1043 (err=1.4e-016)
21. NAPACK (f2c): elapsed time t=1.482 s, 65536 iters, t-(init.)=1.452 s
    t(norm)=0.346184, mflops=14.4432 (err=3.0e-016)
22. Ooura (C): elapsed time t=1.702 s, 262144 iters, t-(init.)=1.581 s
    t(norm)=0.0942349, mflops=53.0589 (err=1.6e-016)
23. Ransom: elapsed time t=1.052 s, 65536 iters, t-(init.)=1.022 s
    t(norm)=0.243664, mflops=20.5201 (err=4.1e-016)
24. Singleton (f2c): elapsed time t=1.592 s, 262144 iters, t-(init.)=1.462 s
    t(norm)=0.087142, mflops=57.3776 (err=2.2e-016)
25. Temperton (f2c): elapsed time t=1.041 s, 131072 iters, t-(init.)=0.97 s
    t(norm)=0.115633, mflops=43.2402 (err=2.0e-016)
26. Valkenburg: elapsed time t=1.212 s, 32768 iters, t-(init.)=1.202 s
    t(norm)=0.573158, mflops=8.72359 (err=2.4e-016)

Top mflops for N=16 = 266.094
Normalized results and averages for N=16:
  fft 0: mflops = 46.7853 (norm. = 0.175823), norm. avg. (of 4) = 0.360911
  fft 1: mflops = 48.1274 (norm. = 0.180866), norm. avg. (of 4) = 0.369046
  fft 2: mflops = 38.0608 (norm. = 0.143035), norm. avg. (of 4) = 0.24914
  fft 3: mflops = 15.2854 (norm. = 0.0574435), norm. avg. (of 4) = 0.0396349
  fft 4: mflops = 14.0466 (norm. = 0.052788), norm. avg. (of 4) = 0.0602893
  fft 5: mflops = 61.1415 (norm. = 0.229774), norm. avg. (of 4) = 0.164166
  fft 6: mflops = 64.4286 (norm. = 0.242127), norm. avg. (of 4) = 0.137927
  fft 7: mflops = 30.1315 (norm. = 0.113236), norm. avg. (of 4) = 0.0715538
  fft 8: mflops = 29.9166 (norm. = 0.112429), norm. avg. (of 3) = 0.148535
  fft 9: mflops = 45.516 (norm. = 0.171053), norm. avg. (of 4) = 0.154833
  fft 10: mflops = 68.7591 (norm. = 0.258402), norm. avg. (of 4) = 0.265992
  fft 11: mflops = 48.6861 (norm. = 0.182966), norm. avg. (of 4) = 0.240909
  fft 12: mflops = 266.094 (norm. = 1), norm. avg. (of 4) = 1
  fft 13: mflops = 98.6315 (norm. = 0.370664), norm. avg. (of 2) = 0.389537
  fft 14: mflops = 86.3026 (norm. = 0.324331), norm. avg. (of 4) = 0.236387
  fft 15: mflops = 39.5316 (norm. = 0.148563), norm. avg. (of 4) = 0.122356
  fft 16: mflops = 36.7277 (norm. = 0.138025), norm. avg. (of 4) = 0.114715
  fft 17: mflops = 164.161 (norm. = 0.616928), norm. avg. (of 4) = 0.490258
  fft 18: mflops = 61.6356 (norm. = 0.231631), norm. avg. (of 3) = 0.265798
  fft 19: mflops = 70.9696 (norm. = 0.266709), norm. avg. (of 3) = 0.281218
  fft 20: mflops = 74.1043 (norm. = 0.278489), norm. avg. (of 3) = 0.28679
  fft 21: mflops = 14.4432 (norm. = 0.0542786), norm. avg. (of 4) = 0.0501774
  fft 22: mflops = 53.0589 (norm. = 0.199399), norm. avg. (of 4) = 0.250888
  fft 23: mflops = 20.5201 (norm. = 0.0771159), norm. avg. (of 3) = 0.044676
  fft 24: mflops = 57.3776 (norm. = 0.215629), norm. avg. (of 4) = 0.140086
  fft 25: mflops = 43.2402 (norm. = 0.1625), norm. avg. (of 4) = 0.0967549
  fft 26: mflops = 8.72359 (norm. = 0.0327839), norm. avg. (of 4) = 0.0573855

Benchmarking for array size = 32 (power of 2):
0. Arndt DIF: elapsed time t=1.943 s, 131072 iters, t-(init.)=1.843 s
    t(norm)=0.0878811, mflops=56.8951 (err=2.6e-016)
1. Arndt DIT: elapsed time t=1.913 s, 131072 iters, t-(init.)=1.813 s
    t(norm)=0.0864506, mflops=57.8365 (err=2.5e-016)
2. Arndt Split-Radix: elapsed time t=1.322 s, 65536 iters, t-(init.)=1.272 s
    t(norm)=0.121307, mflops=41.2176 (err=2.2e-016)
3. Arndt 4-step: elapsed time t=1.752 s, 32768 iters, t-(init.)=1.732 s
    t(norm)=0.330353, mflops=15.1353 (err=2.5e-016)
4. Beauregard: elapsed time t=1.782 s, 32768 iters, t-(init.)=1.751 s
    t(norm)=0.333977, mflops=14.9711 (err=2.9e-016)
5. Bergland: elapsed time t=1.402 s, 131072 iters, t-(init.)=1.292 s
    t(norm)=0.0616074, mflops=81.1591 (err=2.8e-016)
6. CWP (min N) (N=33): elapsed time t=1.942 s, 131072 iters, t-(init.)=1.832 s
    t(norm)=0.0873566, mflops=57.2367
7. CWP (best N) (N=35): elapsed time t=1.943 s, 131072 iters, t-(init.)=1.823 s
    t(norm)=0.0869274, mflops=57.5193
8. Edelblute: elapsed time t=1.672 s, 65536 iters, t-(init.)=1.622 s
    t(norm)=0.154686, mflops=32.3236 (err=2.7e-016)
9. FFTPACK (f2c): elapsed time t=1.402 s, 65536 iters, t-(init.)=1.342 s
    t(norm)=0.127983, mflops=39.0677 (err=3.0e-016)

FFTW_MEASURE plan: (cost = 1.037598e-005)
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.382 s, 131072 iters, t-(init.)=1.272 s
    t(norm)=0.0606537, mflops=82.4352 (err=2.9e-016)

FFTW_ESTIMATE plan: (cost = 3.200000e+001)
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.101 s, 65536 iters, t-(init.)=1.04 s
    t(norm)=0.0991821, mflops=50.4123 (err=3.2e-016)
12. Frigo-old: elapsed time t=1.052 s, 262144 iters, t-(init.)=0.832 s
    t(norm)=0.0198364, mflops=252.062 (err=3.2e-016)
13. Green: elapsed time t=1.993 s, 262144 iters, t-(init.)=1.793 s
    t(norm)=0.0427485, mflops=116.963 (err=2.9e-016)
14. GSL: elapsed time t=1.352 s, 131072 iters, t-(init.)=1.252 s
    t(norm)=0.0597, mflops=83.7521 (err=2.9e-016)
15. GSL DIT: elapsed time t=1.072 s, 65536 iters, t-(init.)=1.012 s
    t(norm)=0.0965118, mflops=51.8071 (err=3.6e-016)
16. GSL DIF: elapsed time t=1.161 s, 65536 iters, t-(init.)=1.1 s
    t(norm)=0.104904, mflops=47.6625 (err=3.2e-016)
17. Krukar: elapsed time t=1.402 s, 262144 iters, t-(init.)=1.182 s
    t(norm)=0.0281811, mflops=177.424 (err=2.9e-016)
18. Mayer (Buneman): elapsed time t=1.552 s, 131072 iters, t-(init.)=1.431 s
    t(norm)=0.0682354, mflops=73.2758 (err=2.3e-016)
19. Mayer (simple): elapsed time t=1.252 s, 131072 iters, t-(init.)=1.152 s
    t(norm)=0.0549316, mflops=91.0222
20. Mayer (lookup): elapsed time t=1.242 s, 131072 iters, t-(init.)=1.132 s
    t(norm)=0.053978, mflops=92.6304 (err=2.4e-016)
21. NAPACK (f2c): elapsed time t=1.683 s, 32768 iters, t-(init.)=1.663 s
    t(norm)=0.317192, mflops=15.7633 (err=4.3e-016)
22. Ooura (C): elapsed time t=1.032 s, 65536 iters, t-(init.)=0.982 s
    t(norm)=0.0936508, mflops=53.3898 (err=2.7e-016)
23. Ransom: elapsed time t=1.312 s, 32768 iters, t-(init.)=1.282 s
    t(norm)=0.244522, mflops=20.448 (err=6.6e-016)
24. Singleton (f2c): elapsed time t=1.602 s, 131072 iters, t-(init.)=1.492 s
    t(norm)=0.0711441, mflops=70.2799 (err=3.0e-016)
25. Temperton (f2c): elapsed time t=1.062 s, 65536 iters, t-(init.)=1.002 s
    t(norm)=0.0955582, mflops=52.3242 (err=3.0e-016)
26. Valkenburg: elapsed time t=1.472 s, 16384 iters, t-(init.)=1.452 s
    t(norm)=0.553894, mflops=9.027 (err=2.6e-016)

Top mflops for N=32 = 252.062
Normalized results and averages for N=32:
  fft 0: mflops = 56.8951 (norm. = 0.225719), norm. avg. (of 5) = 0.333872
  fft 1: mflops = 57.8365 (norm. = 0.229454), norm. avg. (of 5) = 0.341127
  fft 2: mflops = 41.2176 (norm. = 0.163522), norm. avg. (of 5) = 0.232016
  fft 3: mflops = 15.1353 (norm. = 0.0600462), norm. avg. (of 5) = 0.0437172
  fft 4: mflops = 14.9711 (norm. = 0.0593946), norm. avg. (of 5) = 0.0601104
  fft 5: mflops = 81.1591 (norm. = 0.321981), norm. avg. (of 5) = 0.195729
  fft 6: mflops = 57.2367 (norm. = 0.227074), norm. avg. (of 5) = 0.155757
  fft 7: mflops = 57.5193 (norm. = 0.228195), norm. avg. (of 5) = 0.102882
  fft 8: mflops = 32.3236 (norm. = 0.128237), norm. avg. (of 4) = 0.143461
  fft 9: mflops = 39.0677 (norm. = 0.154993), norm. avg. (of 5) = 0.154865
  fft 10: mflops = 82.4352 (norm. = 0.327044), norm. avg. (of 5) = 0.278202
  fft 11: mflops = 50.4123 (norm. = 0.2), norm. avg. (of 5) = 0.232728
  fft 12: mflops = 252.062 (norm. = 1), norm. avg. (of 5) = 1
  fft 13: mflops = 116.963 (norm. = 0.464027), norm. avg. (of 3) = 0.414367
  fft 14: mflops = 83.7521 (norm. = 0.332268), norm. avg. (of 5) = 0.255563
  fft 15: mflops = 51.8071 (norm. = 0.205534), norm. avg. (of 5) = 0.138992
  fft 16: mflops = 47.6625 (norm. = 0.189091), norm. avg. (of 5) = 0.12959
  fft 17: mflops = 177.424 (norm. = 0.703892), norm. avg. (of 5) = 0.532985
  fft 18: mflops = 73.2758 (norm. = 0.290706), norm. avg. (of 4) = 0.272025
  fft 19: mflops = 91.0222 (norm. = 0.361111), norm. avg. (of 4) = 0.301192
  fft 20: mflops = 92.6304 (norm. = 0.367491), norm. avg. (of 4) = 0.306965
  fft 21: mflops = 15.7633 (norm. = 0.0625376), norm. avg. (of 5) = 0.0526494
  fft 22: mflops = 53.3898 (norm. = 0.211813), norm. avg. (of 5) = 0.243073
  fft 23: mflops = 20.448 (norm. = 0.0811232), norm. avg. (of 4) = 0.0537878
  fft 24: mflops = 70.2799 (norm. = 0.27882), norm. avg. (of 5) = 0.167833
  fft 25: mflops = 52.3242 (norm. = 0.207585), norm. avg. (of 5) = 0.118921
  fft 26: mflops = 9.027 (norm. = 0.0358127), norm. avg. (of 5) = 0.0530709

Benchmarking for array size = 64 (power of 2):
0. Arndt DIF: elapsed time t=1.231 s, 32768 iters, t-(init.)=1.191 s
    t(norm)=0.0946522, mflops=52.825 (err=5.7e-016)
1. Arndt DIT: elapsed time t=1.192 s, 32768 iters, t-(init.)=1.142 s
    t(norm)=0.090758, mflops=55.0916 (err=5.4e-016)
2. Arndt Split-Radix: elapsed time t=1.472 s, 32768 iters, t-(init.)=1.422 s
    t(norm)=0.11301, mflops=44.2437 (err=5.8e-016)
3. Arndt 4-step: elapsed time t=1.432 s, 16384 iters, t-(init.)=1.412 s
    t(norm)=0.224431, mflops=22.2785 (err=5.5e-016)
4. Beauregard: elapsed time t=1.092 s, 8192 iters, t-(init.)=1.072 s
    t(norm)=0.34078, mflops=14.6722 (err=5.7e-016)
5. Bergland: elapsed time t=1.512 s, 65536 iters, t-(init.)=1.412 s
    t(norm)=0.0561078, mflops=89.1141 (err=5.3e-016)
6. CWP (min N) (N=65): elapsed time t=1.001 s, 32768 iters, t-(init.)=0.951 s
    t(norm)=0.0755787, mflops=66.1562
7. CWP (best N) (N=84): elapsed time t=1.232 s, 32768 iters, t-(init.)=1.162 s
    t(norm)=0.0923475, mflops=54.1433
8. Edelblute: elapsed time t=1.853 s, 32768 iters, t-(init.)=1.803 s
    t(norm)=0.14329, mflops=34.8944 (err=5.7e-016)
9. FFTPACK (f2c): elapsed time t=1.442 s, 32768 iters, t-(init.)=1.392 s
    t(norm)=0.110626, mflops=45.1972 (err=5.4e-016)

FFTW_MEASURE plan: (cost = 2.386475e-005)
FFTW_TWIDDLE 32
FFTW_NOTW 2

10. FFTW: elapsed time t=1.572 s, 65536 iters, t-(init.)=1.471 s
    t(norm)=0.0584523, mflops=85.5399 (err=5.9e-016)

FFTW_ESTIMATE plan: (cost = 7.680000e+002)
FFTW_TWIDDLE 2
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.222 s, 32768 iters, t-(init.)=1.172 s
    t(norm)=0.0931422, mflops=53.6814 (err=5.7e-016)
12. Frigo-old: elapsed time t=1.843 s, 131072 iters, t-(init.)=1.633 s
    t(norm)=0.0324448, mflops=154.108 (err=5.7e-016)
13. Green: elapsed time t=1.932 s, 131072 iters, t-(init.)=1.751 s
    t(norm)=0.0347892, mflops=143.723 (err=5.7e-016)
14. GSL: elapsed time t=1.321 s, 65536 iters, t-(init.)=1.23 s
    t(norm)=0.0488758, mflops=102.3 (err=5.4e-016)
15. GSL DIT: elapsed time t=1.152 s, 32768 iters, t-(init.)=1.102 s
    t(norm)=0.0875791, mflops=57.0913 (err=5.8e-016)
16. GSL DIF: elapsed time t=1.242 s, 32768 iters, t-(init.)=1.192 s
    t(norm)=0.0947316, mflops=52.7807 (err=5.7e-016)
17. Krukar: elapsed time t=1.582 s, 32768 iters, t-(init.)=1.522 s
    t(norm)=0.120958, mflops=41.3368 (err=6.0e-016)
18. Mayer (Buneman): elapsed time t=1.853 s, 65536 iters, t-(init.)=1.753 s
    t(norm)=0.069658, mflops=71.7793 (err=5.1e-016)
19. Mayer (simple): elapsed time t=1.462 s, 65536 iters, t-(init.)=1.372 s
    t(norm)=0.0545184, mflops=91.7122
20. Mayer (lookup): elapsed time t=1.472 s, 65536 iters, t-(init.)=1.362 s
    t(norm)=0.054121, mflops=92.3856 (err=5.6e-016)
21. NAPACK (f2c): elapsed time t=1.702 s, 16384 iters, t-(init.)=1.682 s
    t(norm)=0.267347, mflops=18.7023 (err=1.0e-015)
22. Ooura (C): elapsed time t=1.142 s, 32768 iters, t-(init.)=1.092 s
    t(norm)=0.0867844, mflops=57.6141 (err=5.3e-016)
23. Ransom: elapsed time t=1.693 s, 32768 iters, t-(init.)=1.643 s
    t(norm)=0.130574, mflops=38.2925 (err=8.4e-016)
24. Singleton (f2c): elapsed time t=1.522 s, 65536 iters, t-(init.)=1.412 s
    t(norm)=0.0561078, mflops=89.1141 (err=8.6e-016)
25. Temperton (f2c): elapsed time t=1.893 s, 65536 iters, t-(init.)=1.793 s
    t(norm)=0.0712474, mflops=70.178 (err=5.4e-016)
26. Valkenburg: elapsed time t=1.713 s, 8192 iters, t-(init.)=1.693 s
    t(norm)=0.53819, mflops=9.2904 (err=6.7e-016)

Top mflops for N=64 = 154.108
Normalized results and averages for N=64:
  fft 0: mflops = 52.825 (norm. = 0.342779), norm. avg. (of 6) = 0.335357
  fft 1: mflops = 55.0916 (norm. = 0.357487), norm. avg. (of 6) = 0.343854
  fft 2: mflops = 44.2437 (norm. = 0.287096), norm. avg. (of 6) = 0.241196
  fft 3: mflops = 22.2785 (norm. = 0.144564), norm. avg. (of 6) = 0.0605251
  fft 4: mflops = 14.6722 (norm. = 0.0952076), norm. avg. (of 6) = 0.0659599
  fft 5: mflops = 89.1141 (norm. = 0.578258), norm. avg. (of 6) = 0.259484
  fft 6: mflops = 66.1562 (norm. = 0.429285), norm. avg. (of 6) = 0.201345
  fft 7: mflops = 54.1433 (norm. = 0.351334), norm. avg. (of 6) = 0.144291
  fft 8: mflops = 34.8944 (norm. = 0.226428), norm. avg. (of 5) = 0.160054
  fft 9: mflops = 45.1972 (norm. = 0.293283), norm. avg. (of 6) = 0.177934
  fft 10: mflops = 85.5399 (norm. = 0.555065), norm. avg. (of 6) = 0.324346
  fft 11: mflops = 53.6814 (norm. = 0.348336), norm. avg. (of 6) = 0.251996
  fft 12: mflops = 154.108 (norm. = 1), norm. avg. (of 6) = 1
  fft 13: mflops = 143.723 (norm. = 0.93261), norm. avg. (of 4) = 0.543928
  fft 14: mflops = 102.3 (norm. = 0.663821), norm. avg. (of 6) = 0.323606
  fft 15: mflops = 57.0913 (norm. = 0.370463), norm. avg. (of 6) = 0.17757
  fft 16: mflops = 52.7807 (norm. = 0.342492), norm. avg. (of 6) = 0.165074
  fft 17: mflops = 41.3368 (norm. = 0.268233), norm. avg. (of 6) = 0.488859
  fft 18: mflops = 71.7793 (norm. = 0.465773), norm. avg. (of 5) = 0.310774
  fft 19: mflops = 91.7122 (norm. = 0.595117), norm. avg. (of 5) = 0.359977
  fft 20: mflops = 92.3856 (norm. = 0.599486), norm. avg. (of 5) = 0.365469
  fft 21: mflops = 18.7023 (norm. = 0.121359), norm. avg. (of 6) = 0.0641009
  fft 22: mflops = 57.6141 (norm. = 0.373855), norm. avg. (of 6) = 0.26487
  fft 23: mflops = 38.2925 (norm. = 0.248478), norm. avg. (of 5) = 0.092726
  fft 24: mflops = 89.1141 (norm. = 0.578258), norm. avg. (of 6) = 0.236237
  fft 25: mflops = 70.178 (norm. = 0.455382), norm. avg. (of 6) = 0.174998
  fft 26: mflops = 9.2904 (norm. = 0.060285), norm. avg. (of 6) = 0.0542733

Benchmarking for array size = 128 (power of 2):
0. Arndt DIF: elapsed time t=1.251 s, 16384 iters, t-(init.)=1.211 s
    t(norm)=0.0824928, mflops=60.6113 (err=3.7e-016)
1. Arndt DIT: elapsed time t=1.212 s, 16384 iters, t-(init.)=1.172 s
    t(norm)=0.0798362, mflops=62.6283 (err=3.6e-016)
2. Arndt Split-Radix: elapsed time t=1.562 s, 16384 iters, t-(init.)=1.522 s
    t(norm)=0.103678, mflops=48.2262 (err=3.8e-016)
3. Arndt 4-step: elapsed time t=1.853 s, 8192 iters, t-(init.)=1.833 s
    t(norm)=0.249726, mflops=20.0219 (err=3.3e-016)
4. Beauregard: elapsed time t=1.282 s, 4096 iters, t-(init.)=1.272 s
    t(norm)=0.346592, mflops=14.4262 (err=4.0e-016)
5. Bergland: elapsed time t=1.642 s, 32768 iters, t-(init.)=1.542 s
    t(norm)=0.0525202, mflops=95.2015 (err=3.2e-016)
6. CWP (min N) (N=130): elapsed time t=1.142 s, 16384 iters, t-(init.)=1.092 s
    t(norm)=0.0743866, mflops=67.2164
7. CWP (best N) (N=140): elapsed time t=1.072 s, 16384 iters, t-(init.)=1.022 s
    t(norm)=0.0696182, mflops=71.8203
8. Edelblute: elapsed time t=1.973 s, 16384 iters, t-(init.)=1.923 s
    t(norm)=0.130994, mflops=38.1697 (err=3.7e-016)
9. FFTPACK (f2c): elapsed time t=1.743 s, 16384 iters, t-(init.)=1.693 s
    t(norm)=0.115326, mflops=43.3552 (err=3.7e-016)

FFTW_MEASURE plan: (cost = 5.371094e-005)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.782 s, 32768 iters, t-(init.)=1.682 s
    t(norm)=0.0572886, mflops=87.2774 (err=3.8e-016)

FFTW_ESTIMATE plan: (cost = 1.075200e+003)
FFTW_TWIDDLE 4
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.292 s, 16384 iters, t-(init.)=1.242 s
    t(norm)=0.0846045, mflops=59.0985 (err=3.5e-016)
12. Frigo-old: elapsed time t=1.933 s, 65536 iters, t-(init.)=1.723 s
    t(norm)=0.0293425, mflops=170.401 (err=3.5e-016)
13. Green: elapsed time t=1.302 s, 32768 iters, t-(init.)=1.212 s
    t(norm)=0.0412805, mflops=121.123 (err=4.0e-016)
14. GSL: elapsed time t=1.412 s, 32768 iters, t-(init.)=1.322 s
    t(norm)=0.0450271, mflops=111.044 (err=3.6e-016)
15. GSL DIT: elapsed time t=1.191 s, 16384 iters, t-(init.)=1.14 s
    t(norm)=0.0776563, mflops=64.3862 (err=3.8e-016)
16. GSL DIF: elapsed time t=1.302 s, 16384 iters, t-(init.)=1.252 s
    t(norm)=0.0852857, mflops=58.6265 (err=3.4e-016)
17. Krukar: elapsed time t=1.081 s, 8192 iters, t-(init.)=1.051 s
    t(norm)=0.143187, mflops=34.9193 (err=3.5e-016)
18. Mayer (Buneman): elapsed time t=1.953 s, 32768 iters, t-(init.)=1.853 s
    t(norm)=0.0631128, mflops=79.2232 (err=3.4e-016)
19. Mayer (simple): elapsed time t=1.513 s, 32768 iters, t-(init.)=1.433 s
    t(norm)=0.0488077, mflops=102.443
20. Mayer (lookup): elapsed time t=1.492 s, 32768 iters, t-(init.)=1.392 s
    t(norm)=0.0474112, mflops=105.46 (err=3.8e-016)
21. NAPACK (f2c): elapsed time t=1.963 s, 8192 iters, t-(init.)=1.943 s
    t(norm)=0.264713, mflops=18.8884 (err=1.1e-015)
22. Ooura (C): elapsed time t=1.352 s, 16384 iters, t-(init.)=1.312 s
    t(norm)=0.0893729, mflops=55.9454 (err=3.3e-016)
23. Ransom: elapsed time t=1.042 s, 8192 iters, t-(init.)=1.022 s
    t(norm)=0.139236, mflops=35.9101 (err=9.2e-016)
24. Singleton (f2c): elapsed time t=1.733 s, 32768 iters, t-(init.)=1.623 s
    t(norm)=0.0552791, mflops=90.4502 (err=4.1e-016)
25. Temperton (f2c): elapsed time t=1.082 s, 16384 iters, t-(init.)=1.032 s
    t(norm)=0.0702994, mflops=71.1243 (err=3.4e-016)
26. Valkenburg: elapsed time t=1.973 s, 4096 iters, t-(init.)=1.963 s
    t(norm)=0.534875, mflops=9.34798 (err=5.4e-016)

Top mflops for N=128 = 170.401
Normalized results and averages for N=128:
  fft 0: mflops = 60.6113 (norm. = 0.355698), norm. avg. (of 7) = 0.338263
  fft 1: mflops = 62.6283 (norm. = 0.367534), norm. avg. (of 7) = 0.347237
  fft 2: mflops = 48.2262 (norm. = 0.283016), norm. avg. (of 7) = 0.24717
  fft 3: mflops = 20.0219 (norm. = 0.117499), norm. avg. (of 7) = 0.0686641
  fft 4: mflops = 14.4262 (norm. = 0.08466), norm. avg. (of 7) = 0.0686313
  fft 5: mflops = 95.2015 (norm. = 0.55869), norm. avg. (of 7) = 0.302228
  fft 6: mflops = 67.2164 (norm. = 0.39446), norm. avg. (of 7) = 0.228932
  fft 7: mflops = 71.8203 (norm. = 0.421477), norm. avg. (of 7) = 0.183889
  fft 8: mflops = 38.1697 (norm. = 0.223999), norm. avg. (of 6) = 0.170712
  fft 9: mflops = 43.3552 (norm. = 0.25443), norm. avg. (of 7) = 0.188862
  fft 10: mflops = 87.2774 (norm. = 0.512188), norm. avg. (of 7) = 0.351181
  fft 11: mflops = 59.0985 (norm. = 0.34682), norm. avg. (of 7) = 0.265542
  fft 12: mflops = 170.401 (norm. = 1), norm. avg. (of 7) = 1
  fft 13: mflops = 121.123 (norm. = 0.710809), norm. avg. (of 5) = 0.577304
  fft 14: mflops = 111.044 (norm. = 0.651664), norm. avg. (of 7) = 0.370472
  fft 15: mflops = 64.3862 (norm. = 0.377851), norm. avg. (of 7) = 0.206182
  fft 16: mflops = 58.6265 (norm. = 0.34405), norm. avg. (of 7) = 0.190642
  fft 17: mflops = 34.9193 (norm. = 0.204924), norm. avg. (of 7) = 0.448297
  fft 18: mflops = 79.2232 (norm. = 0.464922), norm. avg. (of 6) = 0.336466
  fft 19: mflops = 102.443 (norm. = 0.601186), norm. avg. (of 6) = 0.400178
  fft 20: mflops = 105.46 (norm. = 0.618894), norm. avg. (of 6) = 0.407707
  fft 21: mflops = 18.8884 (norm. = 0.110847), norm. avg. (of 7) = 0.0707789
  fft 22: mflops = 55.9454 (norm. = 0.328316), norm. avg. (of 7) = 0.273934
  fft 23: mflops = 35.9101 (norm. = 0.210739), norm. avg. (of 6) = 0.112395
  fft 24: mflops = 90.4502 (norm. = 0.530807), norm. avg. (of 7) = 0.278319
  fft 25: mflops = 71.1243 (norm. = 0.417393), norm. avg. (of 7) = 0.209626
  fft 26: mflops = 9.34798 (norm. = 0.0548586), norm. avg. (of 7) = 0.0543569

Benchmarking for array size = 256 (power of 2):
0. Arndt DIF: elapsed time t=1.422 s, 8192 iters, t-(init.)=1.382 s
    t(norm)=0.0823736, mflops=60.699 (err=7.3e-016)
1. Arndt DIT: elapsed time t=1.372 s, 8192 iters, t-(init.)=1.332 s
    t(norm)=0.0793934, mflops=62.9775 (err=7.7e-016)
2. Arndt Split-Radix: elapsed time t=1.643 s, 8192 iters, t-(init.)=1.593 s
    t(norm)=0.0949502, mflops=52.6592 (err=7.4e-016)
3. Arndt 4-step: elapsed time t=1.763 s, 4096 iters, t-(init.)=1.743 s
    t(norm)=0.207782, mflops=24.0637 (err=7.4e-016)
4. Beauregard: elapsed time t=1.472 s, 2048 iters, t-(init.)=1.462 s
    t(norm)=0.348568, mflops=14.3444 (err=8.8e-016)
5. Bergland: elapsed time t=1.692 s, 16384 iters, t-(init.)=1.592 s
    t(norm)=0.0474453, mflops=105.385 (err=7.7e-016)
6. CWP (min N) (N=260): elapsed time t=1.131 s, 8192 iters, t-(init.)=1.081 s
    t(norm)=0.0644326, mflops=77.6004
7. CWP (best N) (N=280): elapsed time t=1.112 s, 8192 iters, t-(init.)=1.062 s
    t(norm)=0.0633001, mflops=78.9888
8. Edelblute: elapsed time t=1.032 s, 4096 iters, t-(init.)=1.012 s
    t(norm)=0.12064, mflops=41.4457 (err=7.4e-016)
9. FFTPACK (f2c): elapsed time t=1.843 s, 8192 iters, t-(init.)=1.793 s
    t(norm)=0.106871, mflops=46.7853 (err=8.5e-016)

FFTW_MEASURE plan: (cost = 1.171875e-004)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 32
FFTW_NOTW 2

10. FFTW: elapsed time t=1.953 s, 16384 iters, t-(init.)=1.853 s
    t(norm)=0.0552237, mflops=90.5408 (err=8.3e-016)

FFTW_ESTIMATE plan: (cost = 9.216000e+002)
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.362 s, 8192 iters, t-(init.)=1.312 s
    t(norm)=0.0782013, mflops=63.9376 (err=8.3e-016)
12. Frigo-old: elapsed time t=1.051 s, 16384 iters, t-(init.)=0.951 s
    t(norm)=0.028342, mflops=176.417 (err=8.4e-016)
13. Green: elapsed time t=1.392 s, 16384 iters, t-(init.)=1.302 s
    t(norm)=0.0388026, mflops=128.857 (err=8.4e-016)
14. GSL: elapsed time t=1.462 s, 16384 iters, t-(init.)=1.372 s
    t(norm)=0.0408888, mflops=122.283 (err=8.5e-016)
15. GSL DIT: elapsed time t=1.281 s, 8192 iters, t-(init.)=1.23 s
    t(norm)=0.0733137, mflops=68.2001 (err=8.7e-016)
16. GSL DIF: elapsed time t=1.382 s, 8192 iters, t-(init.)=1.332 s
    t(norm)=0.0793934, mflops=62.9775 (err=8.4e-016)
17. Krukar: elapsed time t=1.923 s, 8192 iters, t-(init.)=1.873 s
    t(norm)=0.111639, mflops=44.787 (err=8.6e-016)
18. Mayer (Buneman): elapsed time t=1.081 s, 8192 iters, t-(init.)=1.031 s
    t(norm)=0.0614524, mflops=81.3638 (err=7.4e-016)
19. Mayer (simple): elapsed time t=1.642 s, 16384 iters, t-(init.)=1.562 s
    t(norm)=0.0465512, mflops=107.409
20. Mayer (lookup): elapsed time t=1.622 s, 16384 iters, t-(init.)=1.522 s
    t(norm)=0.0453591, mflops=110.231 (err=7.2e-016)
21. NAPACK (f2c): elapsed time t=1.022 s, 2048 iters, t-(init.)=1.012 s
    t(norm)=0.24128, mflops=20.7228 (err=2.8e-015)
22. Ooura (C): elapsed time t=1.432 s, 8192 iters, t-(init.)=1.392 s
    t(norm)=0.0829697, mflops=60.263 (err=7.7e-016)
23. Ransom: elapsed time t=1.633 s, 8192 iters, t-(init.)=1.593 s
    t(norm)=0.0949502, mflops=52.6592 (err=1.3e-015)
24. Singleton (f2c): elapsed time t=1.673 s, 16384 iters, t-(init.)=1.573 s
    t(norm)=0.0468791, mflops=106.657 (err=1.2e-015)
25. Temperton (f2c): elapsed time t=1.062 s, 8192 iters, t-(init.)=1.012 s
    t(norm)=0.0603199, mflops=82.8914 (err=8.5e-016)
26. Valkenburg: elapsed time t=1.101 s, 1024 iters, t-(init.)=1.101 s
    t(norm)=0.524998, mflops=9.52385 (err=8.9e-016)

Top mflops for N=256 = 176.417
Normalized results and averages for N=256:
  fft 0: mflops = 60.699 (norm. = 0.344067), norm. avg. (of 8) = 0.338988
  fft 1: mflops = 62.9775 (norm. = 0.356982), norm. avg. (of 8) = 0.348455
  fft 2: mflops = 52.6592 (norm. = 0.298493), norm. avg. (of 8) = 0.253586
  fft 3: mflops = 24.0637 (norm. = 0.136403), norm. avg. (of 8) = 0.0771315
  fft 4: mflops = 14.3444 (norm. = 0.0813098), norm. avg. (of 8) = 0.0702161
  fft 5: mflops = 105.385 (norm. = 0.597362), norm. avg. (of 8) = 0.339119
  fft 6: mflops = 77.6004 (norm. = 0.43987), norm. avg. (of 8) = 0.2553
  fft 7: mflops = 78.9888 (norm. = 0.44774), norm. avg. (of 8) = 0.21687
  fft 8: mflops = 41.4457 (norm. = 0.234931), norm. avg. (of 7) = 0.179886
  fft 9: mflops = 46.7853 (norm. = 0.265198), norm. avg. (of 8) = 0.198404
  fft 10: mflops = 90.5408 (norm. = 0.513222), norm. avg. (of 8) = 0.371436
  fft 11: mflops = 63.9376 (norm. = 0.362424), norm. avg. (of 8) = 0.277652
  fft 12: mflops = 176.417 (norm. = 1), norm. avg. (of 8) = 1
  fft 13: mflops = 128.857 (norm. = 0.730415), norm. avg. (of 6) = 0.602822
  fft 14: mflops = 122.283 (norm. = 0.693149), norm. avg. (of 8) = 0.410806
  fft 15: mflops = 68.2001 (norm. = 0.386585), norm. avg. (of 8) = 0.228732
  fft 16: mflops = 62.9775 (norm. = 0.356982), norm. avg. (of 8) = 0.211434
  fft 17: mflops = 44.787 (norm. = 0.253871), norm. avg. (of 8) = 0.423994
  fft 18: mflops = 81.3638 (norm. = 0.461203), norm. avg. (of 7) = 0.354285
  fft 19: mflops = 107.409 (norm. = 0.608835), norm. avg. (of 7) = 0.429986
  fft 20: mflops = 110.231 (norm. = 0.624836), norm. avg. (of 7) = 0.438725
  fft 21: mflops = 20.7228 (norm. = 0.117465), norm. avg. (of 8) = 0.0766147
  fft 22: mflops = 60.263 (norm. = 0.341595), norm. avg. (of 8) = 0.282391
  fft 23: mflops = 52.6592 (norm. = 0.298493), norm. avg. (of 7) = 0.13898
  fft 24: mflops = 106.657 (norm. = 0.604577), norm. avg. (of 8) = 0.319101
  fft 25: mflops = 82.8914 (norm. = 0.469862), norm. avg. (of 8) = 0.242155
  fft 26: mflops = 9.52385 (norm. = 0.053985), norm. avg. (of 8) = 0.0543104

Benchmarking for array size = 512 (power of 2):
0. Arndt DIF: elapsed time t=1.432 s, 4096 iters, t-(init.)=1.382 s
    t(norm)=0.073221, mflops=68.2864 (err=9.4e-016)
1. Arndt DIT: elapsed time t=1.382 s, 4096 iters, t-(init.)=1.342 s
    t(norm)=0.0711017, mflops=70.3218 (err=9.2e-016)
2. Arndt Split-Radix: elapsed time t=1.772 s, 4096 iters, t-(init.)=1.731 s
    t(norm)=0.0917117, mflops=54.5187 (err=9.2e-016)
3. Arndt 4-step: elapsed time t=1.021 s, 1024 iters, t-(init.)=1.011 s
    t(norm)=0.214259, mflops=23.3363 (err=9.0e-016)
4. Beauregard: elapsed time t=1.652 s, 1024 iters, t-(init.)=1.642 s
    t(norm)=0.347985, mflops=14.3684 (err=9.6e-016)
5. Bergland: elapsed time t=1.802 s, 8192 iters, t-(init.)=1.701 s
    t(norm)=0.0450611, mflops=110.96 (err=1.0e-015)
6. CWP (min N) (N=520): elapsed time t=1.182 s, 4096 iters, t-(init.)=1.132 s
    t(norm)=0.0599755, mflops=83.3673
7. CWP (best N) (N=560): elapsed time t=1.171 s, 4096 iters, t-(init.)=1.12 s
    t(norm)=0.0593397, mflops=84.2606
8. Edelblute: elapsed time t=1.112 s, 2048 iters, t-(init.)=1.092 s
    t(norm)=0.115712, mflops=43.2105 (err=9.2e-016)
9. FFTPACK (f2c): elapsed time t=1.221 s, 2048 iters, t-(init.)=1.191 s
    t(norm)=0.126203, mflops=39.6187 (err=9.3e-016)

FFTW_MEASURE plan: (cost = 2.832031e-004)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.161 s, 4096 iters, t-(init.)=1.11 s
    t(norm)=0.0588099, mflops=85.0197 (err=8.9e-016)

FFTW_ESTIMATE plan: (cost = 1.843200e+003)
FFTW_TWIDDLE 16
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.592 s, 4096 iters, t-(init.)=1.542 s
    t(norm)=0.0816981, mflops=61.2009 (err=8.7e-016)
12. Frigo-old: elapsed time t=1.513 s, 8192 iters, t-(init.)=1.413 s
    t(norm)=0.0374317, mflops=133.577 (err=8.5e-016)
13. Green: elapsed time t=1.432 s, 8192 iters, t-(init.)=1.342 s
    t(norm)=0.0355509, mflops=140.644 (err=9.5e-016)
14. GSL: elapsed time t=1.912 s, 8192 iters, t-(init.)=1.821 s
    t(norm)=0.04824, mflops=103.648 (err=9.1e-016)
15. GSL DIT: elapsed time t=1.432 s, 4096 iters, t-(init.)=1.382 s
    t(norm)=0.073221, mflops=68.2864 (err=1.1e-015)
16. GSL DIF: elapsed time t=1.492 s, 4096 iters, t-(init.)=1.442 s
    t(norm)=0.0763999, mflops=65.4451 (err=1.1e-015)
17. Krukar: elapsed time t=1.111 s, 2048 iters, t-(init.)=1.081 s
    t(norm)=0.114547, mflops=43.6502 (err=9.3e-016)
18. Mayer (Buneman): elapsed time t=1.112 s, 4096 iters, t-(init.)=1.062 s
    t(norm)=0.0562668, mflops=88.8624 (err=8.7e-016)
19. Mayer (simple): elapsed time t=1.683 s, 8192 iters, t-(init.)=1.593 s
    t(norm)=0.0422001, mflops=118.483
20. Mayer (lookup): elapsed time t=1.662 s, 8192 iters, t-(init.)=1.561 s
    t(norm)=0.0413524, mflops=120.912 (err=8.8e-016)
21. NAPACK (f2c): elapsed time t=1.182 s, 1024 iters, t-(init.)=1.172 s
    t(norm)=0.248379, mflops=20.1305 (err=7.6e-015)
22. Ooura (C): elapsed time t=1.633 s, 4096 iters, t-(init.)=1.593 s
    t(norm)=0.0844002, mflops=59.2416 (err=9.6e-016)
23. Ransom: elapsed time t=1.922 s, 4096 iters, t-(init.)=1.882 s
    t(norm)=0.0997119, mflops=50.1444 (err=1.2e-015)
24. Singleton (f2c): elapsed time t=1.813 s, 8192 iters, t-(init.)=1.713 s
    t(norm)=0.045379, mflops=110.183 (err=1.1e-015)
25. Temperton (f2c): elapsed time t=1.281 s, 4096 iters, t-(init.)=1.231 s
    t(norm)=0.0652207, mflops=76.6627 (err=9.3e-016)
26. Valkenburg: elapsed time t=1.262 s, 512 iters, t-(init.)=1.262 s
    t(norm)=0.534905, mflops=9.34745 (err=1.4e-015)

Top mflops for N=512 = 140.644
Normalized results and averages for N=512:
  fft 0: mflops = 68.2864 (norm. = 0.485528), norm. avg. (of 9) = 0.35527
  fft 1: mflops = 70.3218 (norm. = 0.5), norm. avg. (of 9) = 0.365293
  fft 2: mflops = 54.5187 (norm. = 0.387637), norm. avg. (of 9) = 0.26848
  fft 3: mflops = 23.3363 (norm. = 0.165925), norm. avg. (of 9) = 0.0869974
  fft 4: mflops = 14.3684 (norm. = 0.102162), norm. avg. (of 9) = 0.0737657
  fft 5: mflops = 110.96 (norm. = 0.788948), norm. avg. (of 9) = 0.3891
  fft 6: mflops = 83.3673 (norm. = 0.592756), norm. avg. (of 9) = 0.292795
  fft 7: mflops = 84.2606 (norm. = 0.599107), norm. avg. (of 9) = 0.259341
  fft 8: mflops = 43.2105 (norm. = 0.307234), norm. avg. (of 8) = 0.195804
  fft 9: mflops = 39.6187 (norm. = 0.281696), norm. avg. (of 9) = 0.207659
  fft 10: mflops = 85.0197 (norm. = 0.604505), norm. avg. (of 9) = 0.397332
  fft 11: mflops = 61.2009 (norm. = 0.435149), norm. avg. (of 9) = 0.295152
  fft 12: mflops = 133.577 (norm. = 0.949752), norm. avg. (of 9) = 0.994417
  fft 13: mflops = 140.644 (norm. = 1), norm. avg. (of 7) = 0.659562
  fft 14: mflops = 103.648 (norm. = 0.736958), norm. avg. (of 9) = 0.447045
  fft 15: mflops = 68.2864 (norm. = 0.485528), norm. avg. (of 9) = 0.257265
  fft 16: mflops = 65.4451 (norm. = 0.465326), norm. avg. (of 9) = 0.239644
  fft 17: mflops = 43.6502 (norm. = 0.310361), norm. avg. (of 9) = 0.411368
  fft 18: mflops = 88.8624 (norm. = 0.631827), norm. avg. (of 8) = 0.388978
  fft 19: mflops = 118.483 (norm. = 0.842436), norm. avg. (of 8) = 0.481542
  fft 20: mflops = 120.912 (norm. = 0.859705), norm. avg. (of 8) = 0.491348
  fft 21: mflops = 20.1305 (norm. = 0.143131), norm. avg. (of 9) = 0.0840054
  fft 22: mflops = 59.2416 (norm. = 0.421218), norm. avg. (of 9) = 0.297816
  fft 23: mflops = 50.1444 (norm. = 0.356536), norm. avg. (of 8) = 0.166175
  fft 24: mflops = 110.183 (norm. = 0.783421), norm. avg. (of 9) = 0.370692
  fft 25: mflops = 76.6627 (norm. = 0.545085), norm. avg. (of 9) = 0.275814
  fft 26: mflops = 9.34745 (norm. = 0.066462), norm. avg. (of 9) = 0.0556606

Benchmarking for array size = 1024 (power of 2):
0. Arndt DIF: elapsed time t=1.623 s, 2048 iters, t-(init.)=1.573 s
    t(norm)=0.0750065, mflops=66.6609 (err=1.7e-015)
1. Arndt DIT: elapsed time t=1.532 s, 2048 iters, t-(init.)=1.482 s
    t(norm)=0.0706673, mflops=70.7541 (err=1.7e-015)
2. Arndt Split-Radix: elapsed time t=1.873 s, 2048 iters, t-(init.)=1.823 s
    t(norm)=0.0869274, mflops=57.5193 (err=1.6e-015)
3. Arndt 4-step: elapsed time t=1.913 s, 1024 iters, t-(init.)=1.883 s
    t(norm)=0.179577, mflops=27.8432 (err=1.6e-015)
4. Beauregard: elapsed time t=1.863 s, 512 iters, t-(init.)=1.853 s
    t(norm)=0.353432, mflops=14.147 (err=1.8e-015)
5. Bergland: elapsed time t=1.032 s, 2048 iters, t-(init.)=0.982 s
    t(norm)=0.0468254, mflops=106.78 (err=1.7e-015)
6. CWP (min N) (N=1040): elapsed time t=1.281 s, 2048 iters, t-(init.)=1.231 s
    t(norm)=0.0586987, mflops=85.1808
7. CWP (best N) (N=1040): elapsed time t=1.282 s, 2048 iters, t-(init.)=1.232 s
    t(norm)=0.0587463, mflops=85.1117
8. Edelblute: elapsed time t=1.172 s, 1024 iters, t-(init.)=1.152 s
    t(norm)=0.109863, mflops=45.5111 (err=1.7e-015)
9. FFTPACK (f2c): elapsed time t=1.502 s, 1024 iters, t-(init.)=1.472 s
    t(norm)=0.140381, mflops=35.6174 (err=1.7e-015)

FFTW_MEASURE plan: (cost = 6.835938e-004)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.442 s, 2048 iters, t-(init.)=1.392 s
    t(norm)=0.0663757, mflops=75.3287 (err=1.7e-015)

FFTW_ESTIMATE plan: (cost = 1.126400e+004)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.723 s, 2048 iters, t-(init.)=1.673 s
    t(norm)=0.0797749, mflops=62.6764 (err=1.7e-015)
12. Frigo-old: elapsed time t=1.312 s, 2048 iters, t-(init.)=1.262 s
    t(norm)=0.0601768, mflops=83.0884 (err=1.7e-015)
13. Green: elapsed time t=1.972 s, 4096 iters, t-(init.)=1.871 s
    t(norm)=0.0446081, mflops=112.087 (err=1.7e-015)
14. GSL: elapsed time t=1.432 s, 2048 iters, t-(init.)=1.382 s
    t(norm)=0.0658989, mflops=75.8738 (err=1.7e-015)
15. GSL DIT: elapsed time t=1.642 s, 2048 iters, t-(init.)=1.591 s
    t(norm)=0.0758648, mflops=65.9067 (err=1.9e-015)
16. GSL DIF: elapsed time t=1.692 s, 2048 iters, t-(init.)=1.642 s
    t(norm)=0.0782967, mflops=63.8597 (err=1.9e-015)
17. Krukar: elapsed time t=1.442 s, 1024 iters, t-(init.)=1.422 s
    t(norm)=0.135612, mflops=36.8698 (err=1.7e-015)
18. Mayer (Buneman): elapsed time t=1.202 s, 2048 iters, t-(init.)=1.152 s
    t(norm)=0.0549316, mflops=91.0222 (err=1.6e-015)
19. Mayer (simple): elapsed time t=1.843 s, 4096 iters, t-(init.)=1.743 s
    t(norm)=0.0415564, mflops=120.319
20. Mayer (lookup): elapsed time t=1.883 s, 4096 iters, t-(init.)=1.783 s
    t(norm)=0.04251, mflops=117.619 (err=1.6e-015)
21. NAPACK (f2c): elapsed time t=1.482 s, 512 iters, t-(init.)=1.472 s
    t(norm)=0.280762, mflops=17.8087 (err=1.6e-014)
22. Ooura (C): elapsed time t=1.803 s, 2048 iters, t-(init.)=1.753 s
    t(norm)=0.0835896, mflops=59.8161 (err=1.6e-015)
23. Ransom: elapsed time t=1.783 s, 2048 iters, t-(init.)=1.733 s
    t(norm)=0.0826359, mflops=60.5064 (err=1.9e-015)
24. Singleton (f2c): elapsed time t=1.002 s, 2048 iters, t-(init.)=0.962 s
    t(norm)=0.0458717, mflops=109 (err=2.6e-015)
25. Temperton (f2c): elapsed time t=1.492 s, 2048 iters, t-(init.)=1.442 s
    t(norm)=0.0687599, mflops=72.7168 (err=1.7e-015)
26. Valkenburg: elapsed time t=1.462 s, 256 iters, t-(init.)=1.462 s
    t(norm)=0.557709, mflops=8.96525 (err=1.8e-015)

Top mflops for N=1024 = 120.319
Normalized results and averages for N=1024:
  fft 0: mflops = 66.6609 (norm. = 0.554037), norm. avg. (of 10) = 0.375147
  fft 1: mflops = 70.7541 (norm. = 0.588057), norm. avg. (of 10) = 0.38757
  fft 2: mflops = 57.5193 (norm. = 0.478058), norm. avg. (of 10) = 0.289438
  fft 3: mflops = 27.8432 (norm. = 0.231413), norm. avg. (of 10) = 0.101439
  fft 4: mflops = 14.147 (norm. = 0.11758), norm. avg. (of 10) = 0.0781471
  fft 5: mflops = 106.78 (norm. = 0.887475), norm. avg. (of 10) = 0.438938
  fft 6: mflops = 85.1808 (norm. = 0.707961), norm. avg. (of 10) = 0.334312
  fft 7: mflops = 85.1117 (norm. = 0.707386), norm. avg. (of 10) = 0.304146
  fft 8: mflops = 45.5111 (norm. = 0.378255), norm. avg. (of 9) = 0.216077
  fft 9: mflops = 35.6174 (norm. = 0.296026), norm. avg. (of 10) = 0.216496
  fft 10: mflops = 75.3287 (norm. = 0.626078), norm. avg. (of 10) = 0.420207
  fft 11: mflops = 62.6764 (norm. = 0.520921), norm. avg. (of 10) = 0.317729
  fft 12: mflops = 83.0884 (norm. = 0.690571), norm. avg. (of 10) = 0.964032
  fft 13: mflops = 112.087 (norm. = 0.931587), norm. avg. (of 8) = 0.693565
  fft 14: mflops = 75.8738 (norm. = 0.630608), norm. avg. (of 10) = 0.465402
  fft 15: mflops = 65.9067 (norm. = 0.547769), norm. avg. (of 10) = 0.286316
  fft 16: mflops = 63.8597 (norm. = 0.530755), norm. avg. (of 10) = 0.268755
  fft 17: mflops = 36.8698 (norm. = 0.306435), norm. avg. (of 10) = 0.400875
  fft 18: mflops = 91.0222 (norm. = 0.75651), norm. avg. (of 9) = 0.429815
  fft 19: mflops = 120.319 (norm. = 1), norm. avg. (of 9) = 0.539149
  fft 20: mflops = 117.619 (norm. = 0.977566), norm. avg. (of 9) = 0.545372
  fft 21: mflops = 17.8087 (norm. = 0.148013), norm. avg. (of 10) = 0.0904062
  fft 22: mflops = 59.8161 (norm. = 0.497148), norm. avg. (of 10) = 0.31775
  fft 23: mflops = 60.5064 (norm. = 0.502885), norm. avg. (of 9) = 0.203587
  fft 24: mflops = 109 (norm. = 0.905925), norm. avg. (of 10) = 0.424215
  fft 25: mflops = 72.7168 (norm. = 0.604369), norm. avg. (of 10) = 0.30867
  fft 26: mflops = 8.96525 (norm. = 0.0745127), norm. avg. (of 10) = 0.0575458

Benchmarking for array size = 2048 (power of 2):
0. Arndt DIF: elapsed time t=1.453 s, 512 iters, t-(init.)=1.393 s
    t(norm)=0.12077, mflops=41.4011 (err=1.4e-015)
1. Arndt DIT: elapsed time t=1.442 s, 512 iters, t-(init.)=1.382 s
    t(norm)=0.119816, mflops=41.7306 (err=1.4e-015)
2. Arndt Split-Radix: elapsed time t=1.002 s, 256 iters, t-(init.)=0.972 s
    t(norm)=0.16854, mflops=29.6665 (err=1.4e-015)
3. Arndt 4-step: elapsed time t=1.302 s, 256 iters, t-(init.)=1.272 s
    t(norm)=0.220559, mflops=22.6697 (err=1.3e-015)
4. Beauregard: elapsed time t=1.112 s, 128 iters, t-(init.)=1.102 s
    t(norm)=0.382163, mflops=13.0834 (err=1.4e-015)
5. Bergland: elapsed time t=1.693 s, 1024 iters, t-(init.)=1.573 s
    t(norm)=0.0681877, mflops=73.327 (err=1.4e-015)
6. CWP (min N) (N=2145): elapsed time t=1.863 s, 1024 iters, t-(init.)=1.743 s
    t(norm)=0.075557, mflops=66.1752
7. CWP (best N) (N=2184): elapsed time t=1.833 s, 1024 iters, t-(init.)=1.703 s
    t(norm)=0.0738231, mflops=67.7295
8. Edelblute: elapsed time t=1.122 s, 256 iters, t-(init.)=1.092 s
    t(norm)=0.189348, mflops=26.4064 (err=1.4e-015)
9. FFTPACK (f2c): elapsed time t=1.712 s, 512 iters, t-(init.)=1.652 s
    t(norm)=0.143225, mflops=34.9102 (err=1.4e-015)

FFTW_MEASURE plan: (cost = 1.562500e-003)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.642 s, 1024 iters, t-(init.)=1.521 s
    t(norm)=0.0659336, mflops=75.8339 (err=1.4e-015)

FFTW_ESTIMATE plan: (cost = 1.269760e+004)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.022 s, 512 iters, t-(init.)=0.962 s
    t(norm)=0.0834032, mflops=59.9498 (err=1.4e-015)
12. Frigo-old: elapsed time t=1.542 s, 1024 iters, t-(init.)=1.422 s
    t(norm)=0.061642, mflops=81.1135 (err=1.4e-015)
13. Green: elapsed time t=1.412 s, 1024 iters, t-(init.)=1.292 s
    t(norm)=0.0560067, mflops=89.275 (err=1.4e-015)
14. GSL: elapsed time t=1.532 s, 1024 iters, t-(init.)=1.412 s
    t(norm)=0.0612086, mflops=81.6879 (err=1.4e-015)
15. GSL DIT: elapsed time t=1.643 s, 512 iters, t-(init.)=1.583 s
    t(norm)=0.137242, mflops=36.4319 (err=1.9e-015)
16. GSL DIF: elapsed time t=1.633 s, 512 iters, t-(init.)=1.573 s
    t(norm)=0.136375, mflops=36.6635 (err=2.3e-015)
17. Krukar: elapsed time t=1.632 s, 512 iters, t-(init.)=1.572 s
    t(norm)=0.136289, mflops=36.6868 (err=1.4e-015)
18. Mayer (Buneman): elapsed time t=1.482 s, 1024 iters, t-(init.)=1.362 s
    t(norm)=0.0590411, mflops=84.6868 (err=1.3e-015)
19. Mayer (simple): elapsed time t=1.171 s, 1024 iters, t-(init.)=1.051 s
    t(norm)=0.0455596, mflops=109.746
20. Mayer (lookup): elapsed time t=1.402 s, 1024 iters, t-(init.)=1.281 s
    t(norm)=0.0555299, mflops=90.0417 (err=1.3e-015)
21. NAPACK (f2c): elapsed time t=1.703 s, 256 iters, t-(init.)=1.673 s
    t(norm)=0.29009, mflops=17.236 (err=1.5e-014)
22. Ooura (C): elapsed time t=1.182 s, 512 iters, t-(init.)=1.122 s
    t(norm)=0.0972748, mflops=51.4008 (err=1.4e-015)
23. Ransom: elapsed time t=1.272 s, 512 iters, t-(init.)=1.212 s
    t(norm)=0.105078, mflops=47.5839 (err=2.0e-015)
24. Singleton (f2c): elapsed time t=1.983 s, 1024 iters, t-(init.)=1.863 s
    t(norm)=0.0807589, mflops=61.9127 (err=1.8e-015)
25. Temperton (f2c): elapsed time t=1.052 s, 512 iters, t-(init.)=0.992 s
    t(norm)=0.0860041, mflops=58.1368 (err=1.4e-015)
26. Valkenburg: elapsed time t=1.693 s, 128 iters, t-(init.)=1.683 s
    t(norm)=0.583649, mflops=8.5668 (err=1.6e-015)

Top mflops for N=2048 = 109.746
Normalized results and averages for N=2048:
  fft 0: mflops = 41.4011 (norm. = 0.377243), norm. avg. (of 11) = 0.375338
  fft 1: mflops = 41.7306 (norm. = 0.380246), norm. avg. (of 11) = 0.386904
  fft 2: mflops = 29.6665 (norm. = 0.270319), norm. avg. (of 11) = 0.2877
  fft 3: mflops = 22.6697 (norm. = 0.206564), norm. avg. (of 11) = 0.110996
  fft 4: mflops = 13.0834 (norm. = 0.119215), norm. avg. (of 11) = 0.0818805
  fft 5: mflops = 73.327 (norm. = 0.66815), norm. avg. (of 11) = 0.459775
  fft 6: mflops = 66.1752 (norm. = 0.602983), norm. avg. (of 11) = 0.358736
  fft 7: mflops = 67.7295 (norm. = 0.617146), norm. avg. (of 11) = 0.3326
  fft 8: mflops = 26.4064 (norm. = 0.240614), norm. avg. (of 10) = 0.21853
  fft 9: mflops = 34.9102 (norm. = 0.318099), norm. avg. (of 11) = 0.225732
  fft 10: mflops = 75.8339 (norm. = 0.690993), norm. avg. (of 11) = 0.444824
  fft 11: mflops = 59.9498 (norm. = 0.546258), norm. avg. (of 11) = 0.338504
  fft 12: mflops = 81.1135 (norm. = 0.7391), norm. avg. (of 11) = 0.943584
  fft 13: mflops = 89.275 (norm. = 0.813467), norm. avg. (of 9) = 0.706888
  fft 14: mflops = 81.6879 (norm. = 0.744334), norm. avg. (of 11) = 0.490759
  fft 15: mflops = 36.4319 (norm. = 0.331965), norm. avg. (of 11) = 0.290465
  fft 16: mflops = 36.6635 (norm. = 0.334075), norm. avg. (of 11) = 0.274694
  fft 17: mflops = 36.6868 (norm. = 0.334288), norm. avg. (of 11) = 0.394821
  fft 18: mflops = 84.6868 (norm. = 0.771659), norm. avg. (of 10) = 0.463999
  fft 19: mflops = 109.746 (norm. = 1), norm. avg. (of 10) = 0.585234
  fft 20: mflops = 90.0417 (norm. = 0.820453), norm. avg. (of 10) = 0.57288
  fft 21: mflops = 17.236 (norm. = 0.157053), norm. avg. (of 11) = 0.096465
  fft 22: mflops = 51.4008 (norm. = 0.46836), norm. avg. (of 11) = 0.331441
  fft 23: mflops = 47.5839 (norm. = 0.433581), norm. avg. (of 10) = 0.226586
  fft 24: mflops = 61.9127 (norm. = 0.564144), norm. avg. (of 11) = 0.436936
  fft 25: mflops = 58.1368 (norm. = 0.529738), norm. avg. (of 11) = 0.328767
  fft 26: mflops = 8.5668 (norm. = 0.07806), norm. avg. (of 11) = 0.0594107

Benchmarking for array size = 4096 (power of 2):
0. Arndt DIF: elapsed time t=1.753 s, 256 iters, t-(init.)=1.693 s
    t(norm)=0.134548, mflops=37.1616 (err=3.8e-015)
1. Arndt DIT: elapsed time t=1.753 s, 256 iters, t-(init.)=1.693 s
    t(norm)=0.134548, mflops=37.1616 (err=3.8e-015)
2. Arndt Split-Radix: elapsed time t=1.161 s, 128 iters, t-(init.)=1.131 s
    t(norm)=0.179768, mflops=27.8137 (err=3.8e-015)
3. Arndt 4-step: elapsed time t=1.252 s, 128 iters, t-(init.)=1.222 s
    t(norm)=0.194232, mflops=25.7425 (err=3.8e-015)
4. Beauregard: elapsed time t=1.222 s, 64 iters, t-(init.)=1.212 s
    t(norm)=0.385284, mflops=12.9774 (err=3.8e-015)
5. Bergland: elapsed time t=1.673 s, 512 iters, t-(init.)=1.553 s
    t(norm)=0.0617107, mflops=81.0233 (err=3.9e-015)
6. CWP (min N) (N=4290): elapsed time t=1.092 s, 256 iters, t-(init.)=1.022 s
    t(norm)=0.0812213, mflops=61.5602
7. CWP (best N) (N=4368): elapsed time t=1.902 s, 512 iters, t-(init.)=1.771 s
    t(norm)=0.0703732, mflops=71.0498
8. Edelblute: elapsed time t=1.282 s, 128 iters, t-(init.)=1.252 s
    t(norm)=0.199, mflops=25.1256 (err=3.8e-015)
9. FFTPACK (f2c): elapsed time t=1.813 s, 256 iters, t-(init.)=1.753 s
    t(norm)=0.139316, mflops=35.8897 (err=3.8e-015)

FFTW_MEASURE plan: (cost = 3.453125e-003)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.773 s, 512 iters, t-(init.)=1.653 s
    t(norm)=0.0656843, mflops=76.1217 (err=3.8e-015)

FFTW_ESTIMATE plan: (cost = 2.539520e+004)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.032 s, 256 iters, t-(init.)=0.972 s
    t(norm)=0.0772476, mflops=64.7269 (err=3.8e-015)
12. Frigo-old: elapsed time t=1.653 s, 512 iters, t-(init.)=1.533 s
    t(norm)=0.0609159, mflops=82.0803 (err=3.8e-015)
13. Green: elapsed time t=1.472 s, 512 iters, t-(init.)=1.352 s
    t(norm)=0.0537237, mflops=93.0689 (err=3.9e-015)
14. GSL: elapsed time t=1.642 s, 512 iters, t-(init.)=1.522 s
    t(norm)=0.0604788, mflops=82.6735 (err=3.8e-015)
15. GSL DIT: elapsed time t=1.812 s, 256 iters, t-(init.)=1.752 s
    t(norm)=0.139236, mflops=35.9101 (err=4.0e-015)
16. GSL DIF: elapsed time t=1.793 s, 256 iters, t-(init.)=1.733 s
    t(norm)=0.137726, mflops=36.3038 (err=4.3e-015)
17. Krukar: elapsed time t=1.743 s, 256 iters, t-(init.)=1.683 s
    t(norm)=0.133753, mflops=37.3824 (err=3.9e-015)
18. Mayer (Buneman): elapsed time t=1.432 s, 256 iters, t-(init.)=1.372 s
    t(norm)=0.109037, mflops=45.8561 (err=3.8e-015)
19. Mayer (simple): elapsed time t=1.322 s, 256 iters, t-(init.)=1.262 s
    t(norm)=0.100295, mflops=49.8531
20. Mayer (lookup): elapsed time t=1.412 s, 256 iters, t-(init.)=1.352 s
    t(norm)=0.107447, mflops=46.5344 (err=3.8e-015)
21. NAPACK (f2c): elapsed time t=1.752 s, 128 iters, t-(init.)=1.722 s
    t(norm)=0.273705, mflops=18.2679 (err=5.1e-014)
22. Ooura (C): elapsed time t=1.222 s, 256 iters, t-(init.)=1.162 s
    t(norm)=0.0923475, mflops=54.1433 (err=3.9e-015)
23. Ransom: elapsed time t=1.052 s, 256 iters, t-(init.)=0.992 s
    t(norm)=0.0788371, mflops=63.4219 (err=4.6e-015)
24. Singleton (f2c): elapsed time t=1.792 s, 512 iters, t-(init.)=1.672 s
    t(norm)=0.0664393, mflops=75.2567 (err=6.0e-015)
25. Temperton (f2c): elapsed time t=1.101 s, 256 iters, t-(init.)=1.04 s
    t(norm)=0.0826518, mflops=60.4948 (err=3.8e-015)
26. Valkenburg: elapsed time t=1.823 s, 64 iters, t-(init.)=1.803 s
    t(norm)=0.573158, mflops=8.72359 (err=4.0e-015)

Top mflops for N=4096 = 93.0689
Normalized results and averages for N=4096:
  fft 0: mflops = 37.1616 (norm. = 0.399291), norm. avg. (of 12) = 0.377334
  fft 1: mflops = 37.1616 (norm. = 0.399291), norm. avg. (of 12) = 0.387936
  fft 2: mflops = 27.8137 (norm. = 0.298851), norm. avg. (of 12) = 0.288629
  fft 3: mflops = 25.7425 (norm. = 0.276596), norm. avg. (of 12) = 0.124796
  fft 4: mflops = 12.9774 (norm. = 0.139439), norm. avg. (of 12) = 0.0866771
  fft 5: mflops = 81.0233 (norm. = 0.870573), norm. avg. (of 12) = 0.494008
  fft 6: mflops = 61.5602 (norm. = 0.661448), norm. avg. (of 12) = 0.383962
  fft 7: mflops = 71.0498 (norm. = 0.763411), norm. avg. (of 12) = 0.368501
  fft 8: mflops = 25.1256 (norm. = 0.269968), norm. avg. (of 11) = 0.223207
  fft 9: mflops = 35.8897 (norm. = 0.385625), norm. avg. (of 12) = 0.239057
  fft 10: mflops = 76.1217 (norm. = 0.817907), norm. avg. (of 12) = 0.475914
  fft 11: mflops = 64.7269 (norm. = 0.695473), norm. avg. (of 12) = 0.368251
  fft 12: mflops = 82.0803 (norm. = 0.881931), norm. avg. (of 12) = 0.938446
  fft 13: mflops = 93.0689 (norm. = 1), norm. avg. (of 10) = 0.736199
  fft 14: mflops = 82.6735 (norm. = 0.888305), norm. avg. (of 12) = 0.523888
  fft 15: mflops = 35.9101 (norm. = 0.385845), norm. avg. (of 12) = 0.298414
  fft 16: mflops = 36.3038 (norm. = 0.390075), norm. avg. (of 12) = 0.284309
  fft 17: mflops = 37.3824 (norm. = 0.401664), norm. avg. (of 12) = 0.395392
  fft 18: mflops = 45.8561 (norm. = 0.492711), norm. avg. (of 11) = 0.46661
  fft 19: mflops = 49.8531 (norm. = 0.535658), norm. avg. (of 11) = 0.580727
  fft 20: mflops = 46.5344 (norm. = 0.5), norm. avg. (of 11) = 0.566254
  fft 21: mflops = 18.2679 (norm. = 0.196283), norm. avg. (of 12) = 0.104783
  fft 22: mflops = 54.1433 (norm. = 0.581756), norm. avg. (of 12) = 0.352301
  fft 23: mflops = 63.4219 (norm. = 0.681452), norm. avg. (of 11) = 0.267938
  fft 24: mflops = 75.2567 (norm. = 0.808612), norm. avg. (of 12) = 0.467909
  fft 25: mflops = 60.4948 (norm. = 0.65), norm. avg. (of 12) = 0.355536
  fft 26: mflops = 8.72359 (norm. = 0.0937327), norm. avg. (of 12) = 0.0622709

Benchmarking for array size = 8192 (power of 2):
0. Arndt DIF: elapsed time t=1.832 s, 128 iters, t-(init.)=1.772 s
    t(norm)=0.129993, mflops=38.4636 (err=3.6e-015)
1. Arndt DIT: elapsed time t=1.863 s, 128 iters, t-(init.)=1.803 s
    t(norm)=0.132267, mflops=37.8022 (err=3.6e-015)
2. Arndt Split-Radix: elapsed time t=1.251 s, 64 iters, t-(init.)=1.221 s
    t(norm)=0.179144, mflops=27.9105 (err=3.6e-015)
3. Arndt 4-step: elapsed time t=1.462 s, 64 iters, t-(init.)=1.432 s
    t(norm)=0.210102, mflops=23.798 (err=3.6e-015)
4. Beauregard: elapsed time t=1.332 s, 32 iters, t-(init.)=1.322 s
    t(norm)=0.387925, mflops=12.8891 (err=3.7e-015)
5. Bergland: elapsed time t=1.982 s, 256 iters, t-(init.)=1.871 s
    t(norm)=0.0686279, mflops=72.8567 (err=3.7e-015)
6. CWP (min N) (N=8580): elapsed time t=1.092 s, 128 iters, t-(init.)=1.022 s
    t(norm)=0.0749735, mflops=66.6903
7. CWP (best N) (N=9240): elapsed time t=1.112 s, 128 iters, t-(init.)=1.042 s
    t(norm)=0.0764407, mflops=65.4102
8. Edelblute: elapsed time t=1.382 s, 64 iters, t-(init.)=1.352 s
    t(norm)=0.198364, mflops=25.2062 (err=3.6e-015)
9. FFTPACK (f2c): elapsed time t=1.081 s, 64 iters, t-(init.)=1.051 s
    t(norm)=0.154202, mflops=32.425 (err=3.7e-015)

FFTW_MEASURE plan: (cost = 7.812500e-003)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_TWIDDLE 8
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=2.002 s, 256 iters, t-(init.)=1.881 s
    t(norm)=0.0689947, mflops=72.4694 (err=3.7e-015)

FFTW_ESTIMATE plan: (cost = 5.079040e+004)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.082 s, 128 iters, t-(init.)=1.022 s
    t(norm)=0.0749735, mflops=66.6903 (err=3.7e-015)
12. Frigo-old: elapsed time t=1.932 s, 256 iters, t-(init.)=1.811 s
    t(norm)=0.0664271, mflops=75.2705 (err=3.7e-015)
13. Green: elapsed time t=1.692 s, 256 iters, t-(init.)=1.571 s
    t(norm)=0.0576239, mflops=86.7695 (err=3.7e-015)
14. GSL: elapsed time t=1.022 s, 128 iters, t-(init.)=0.962 s
    t(norm)=0.0705719, mflops=70.8497 (err=3.7e-015)
15. GSL DIT: elapsed time t=1.972 s, 128 iters, t-(init.)=1.911 s
    t(norm)=0.14019, mflops=35.6659 (err=4.4e-015)
16. GSL DIF: elapsed time t=1.953 s, 128 iters, t-(init.)=1.893 s
    t(norm)=0.13887, mflops=36.005 (err=4.4e-015)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.602 s, 128 iters, t-(init.)=1.542 s
    t(norm)=0.11312, mflops=44.2007 (err=3.6e-015)
19. Mayer (simple): elapsed time t=1.472 s, 128 iters, t-(init.)=1.412 s
    t(norm)=0.103584, mflops=48.2701
20. Mayer (lookup): elapsed time t=1.582 s, 128 iters, t-(init.)=1.522 s
    t(norm)=0.111653, mflops=44.7815 (err=3.6e-015)
21. NAPACK (f2c): elapsed time t=1.953 s, 64 iters, t-(init.)=1.923 s
    t(norm)=0.282141, mflops=17.7216 (err=4.5e-014)
22. Ooura (C): elapsed time t=1.372 s, 128 iters, t-(init.)=1.312 s
    t(norm)=0.0962477, mflops=51.9493 (err=3.7e-015)
23. Ransom: elapsed time t=1.282 s, 128 iters, t-(init.)=1.222 s
    t(norm)=0.0896454, mflops=55.7753 (err=4.8e-015)
24. Singleton (f2c): elapsed time t=1.032 s, 128 iters, t-(init.)=0.972 s
    t(norm)=0.0713055, mflops=70.1208 (err=5.7e-015)
25. Temperton (f2c): elapsed time t=1.281 s, 128 iters, t-(init.)=1.22 s
    t(norm)=0.0894987, mflops=55.8668 (err=3.7e-015)
26. Valkenburg: elapsed time t=1.001 s, 16 iters, t-(init.)=0.991 s
    t(norm)=0.581595, mflops=8.59705 (err=3.8e-015)

Top mflops for N=8192 = 86.7695
Normalized results and averages for N=8192:
  fft 0: mflops = 38.4636 (norm. = 0.443284), norm. avg. (of 13) = 0.382407
  fft 1: mflops = 37.8022 (norm. = 0.435663), norm. avg. (of 13) = 0.391607
  fft 2: mflops = 27.9105 (norm. = 0.321663), norm. avg. (of 13) = 0.29117
  fft 3: mflops = 23.798 (norm. = 0.274267), norm. avg. (of 13) = 0.136294
  fft 4: mflops = 12.8891 (norm. = 0.148544), norm. avg. (of 13) = 0.091436
  fft 5: mflops = 72.8567 (norm. = 0.839658), norm. avg. (of 13) = 0.520597
  fft 6: mflops = 66.6903 (norm. = 0.768591), norm. avg. (of 13) = 0.413549
  fft 7: mflops = 65.4102 (norm. = 0.753839), norm. avg. (of 13) = 0.398142
  fft 8: mflops = 25.2062 (norm. = 0.290496), norm. avg. (of 12) = 0.228814
  fft 9: mflops = 32.425 (norm. = 0.373692), norm. avg. (of 13) = 0.249413
  fft 10: mflops = 72.4694 (norm. = 0.835194), norm. avg. (of 13) = 0.503551
  fft 11: mflops = 66.6903 (norm. = 0.768591), norm. avg. (of 13) = 0.399047
  fft 12: mflops = 75.2705 (norm. = 0.867477), norm. avg. (of 13) = 0.932987
  fft 13: mflops = 86.7695 (norm. = 1), norm. avg. (of 11) = 0.760181
  fft 14: mflops = 70.8497 (norm. = 0.816528), norm. avg. (of 13) = 0.546399
  fft 15: mflops = 35.6659 (norm. = 0.411041), norm. avg. (of 13) = 0.307077
  fft 16: mflops = 36.005 (norm. = 0.41495), norm. avg. (of 13) = 0.294358
  fft 17: mflops = -1 (norm. = -0.0115248), norm. avg. (of 12) = 0.395392
  fft 18: mflops = 44.2007 (norm. = 0.509403), norm. avg. (of 12) = 0.470176
  fft 19: mflops = 48.2701 (norm. = 0.556303), norm. avg. (of 12) = 0.578692
  fft 20: mflops = 44.7815 (norm. = 0.516097), norm. avg. (of 12) = 0.562075
  fft 21: mflops = 17.7216 (norm. = 0.204238), norm. avg. (of 13) = 0.112434
  fft 22: mflops = 51.9493 (norm. = 0.598704), norm. avg. (of 13) = 0.371255
  fft 23: mflops = 55.7753 (norm. = 0.642799), norm. avg. (of 12) = 0.299176
  fft 24: mflops = 70.1208 (norm. = 0.808128), norm. avg. (of 13) = 0.49408
  fft 25: mflops = 55.8668 (norm. = 0.643852), norm. avg. (of 13) = 0.377714
  fft 26: mflops = 8.59705 (norm. = 0.0990792), norm. avg. (of 13) = 0.0651023

Benchmarking for array size = 16384 (power of 2):
0. Arndt DIF: elapsed time t=1.052 s, 32 iters, t-(init.)=1.022 s
    t(norm)=0.139236, mflops=35.9101 (err=6.9e-015)
1. Arndt DIT: elapsed time t=1.072 s, 32 iters, t-(init.)=1.042 s
    t(norm)=0.141961, mflops=35.2209 (err=6.9e-015)
2. Arndt Split-Radix: elapsed time t=1.342 s, 32 iters, t-(init.)=1.312 s
    t(norm)=0.178746, mflops=27.9727 (err=6.9e-015)
3. Arndt 4-step: elapsed time t=1.292 s, 32 iters, t-(init.)=1.262 s
    t(norm)=0.171934, mflops=29.081 (err=6.9e-015)
4. Beauregard: elapsed time t=1.432 s, 16 iters, t-(init.)=1.422 s
    t(norm)=0.387464, mflops=12.9044 (err=6.9e-015)
5. Bergland: elapsed time t=1.041 s, 64 iters, t-(init.)=0.981 s
    t(norm)=0.0668253, mflops=74.8219 (err=6.8e-015)
6. CWP (min N) (N=17160): elapsed time t=1.142 s, 64 iters, t-(init.)=1.082 s
    t(norm)=0.0737054, mflops=67.8376
7. CWP (best N) (N=17160): elapsed time t=1.132 s, 64 iters, t-(init.)=1.072 s
    t(norm)=0.0730242, mflops=68.4704
8. Edelblute: elapsed time t=1.472 s, 32 iters, t-(init.)=1.442 s
    t(norm)=0.196457, mflops=25.4509 (err=6.9e-015)
9. FFTPACK (f2c): elapsed time t=1.362 s, 32 iters, t-(init.)=1.332 s
    t(norm)=0.181471, mflops=27.5527 (err=6.9e-015)

FFTW_MEASURE plan: (cost = 2.000000e-002)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.312 s, 64 iters, t-(init.)=1.252 s
    t(norm)=0.0852857, mflops=58.6265 (err=6.8e-015)

FFTW_ESTIMATE plan: (cost = 1.441792e+005)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.573 s, 64 iters, t-(init.)=1.513 s
    t(norm)=0.103065, mflops=48.5131 (err=6.8e-015)
12. Frigo-old: elapsed time t=1.392 s, 64 iters, t-(init.)=1.332 s
    t(norm)=0.0907353, mflops=55.1053 (err=6.8e-015)
13. Green: elapsed time t=1.943 s, 128 iters, t-(init.)=1.823 s
    t(norm)=0.062091, mflops=80.527 (err=6.9e-015)
14. GSL: elapsed time t=1.552 s, 64 iters, t-(init.)=1.492 s
    t(norm)=0.101634, mflops=49.1959 (err=6.9e-015)
15. GSL DIT: elapsed time t=1.062 s, 32 iters, t-(init.)=1.042 s
    t(norm)=0.141961, mflops=35.2209 (err=7.3e-015)
16. GSL DIF: elapsed time t=1.052 s, 32 iters, t-(init.)=1.022 s
    t(norm)=0.139236, mflops=35.9101 (err=7.4e-015)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.733 s, 64 iters, t-(init.)=1.673 s
    t(norm)=0.113964, mflops=43.8735 (err=6.9e-015)
19. Mayer (simple): elapsed time t=1.613 s, 64 iters, t-(init.)=1.553 s
    t(norm)=0.10579, mflops=47.2636
20. Mayer (lookup): elapsed time t=1.713 s, 64 iters, t-(init.)=1.653 s
    t(norm)=0.112602, mflops=44.4043 (err=6.9e-015)
21. NAPACK (f2c): elapsed time t=1.151 s, 16 iters, t-(init.)=1.131 s
    t(norm)=0.308173, mflops=16.2247 (err=2.3e-013)
22. Ooura (C): elapsed time t=1.402 s, 64 iters, t-(init.)=1.341 s
    t(norm)=0.0913484, mflops=54.7355 (err=6.8e-015)
23. Ransom: elapsed time t=1.112 s, 64 iters, t-(init.)=1.052 s
    t(norm)=0.0716618, mflops=69.7722 (err=7.5e-015)
24. Singleton (f2c): elapsed time t=1.032 s, 64 iters, t-(init.)=0.972 s
    t(norm)=0.0662122, mflops=75.5147 (err=1.0e-014)
25. Temperton (f2c): elapsed time t=1.372 s, 64 iters, t-(init.)=1.312 s
    t(norm)=0.0893729, mflops=55.9454 (err=6.9e-015)
26. Valkenburg: elapsed time t=1.152 s, 8 iters, t-(init.)=1.142 s
    t(norm)=0.622341, mflops=8.03419 (err=6.9e-015)

Top mflops for N=16384 = 80.527
Normalized results and averages for N=16384:
  fft 0: mflops = 35.9101 (norm. = 0.445939), norm. avg. (of 14) = 0.386945
  fft 1: mflops = 35.2209 (norm. = 0.43738), norm. avg. (of 14) = 0.394877
  fft 2: mflops = 27.9727 (norm. = 0.34737), norm. avg. (of 14) = 0.295185
  fft 3: mflops = 29.081 (norm. = 0.361133), norm. avg. (of 14) = 0.152354
  fft 4: mflops = 12.9044 (norm. = 0.16025), norm. avg. (of 14) = 0.0963513
  fft 5: mflops = 74.8219 (norm. = 0.929154), norm. avg. (of 14) = 0.549779
  fft 6: mflops = 67.8376 (norm. = 0.842421), norm. avg. (of 14) = 0.444183
  fft 7: mflops = 68.4704 (norm. = 0.85028), norm. avg. (of 14) = 0.430438
  fft 8: mflops = 25.4509 (norm. = 0.316054), norm. avg. (of 13) = 0.235525
  fft 9: mflops = 27.5527 (norm. = 0.342155), norm. avg. (of 14) = 0.256038
  fft 10: mflops = 58.6265 (norm. = 0.728035), norm. avg. (of 14) = 0.519586
  fft 11: mflops = 48.5131 (norm. = 0.602445), norm. avg. (of 14) = 0.413575
  fft 12: mflops = 55.1053 (norm. = 0.684309), norm. avg. (of 14) = 0.915224
  fft 13: mflops = 80.527 (norm. = 1), norm. avg. (of 12) = 0.780166
  fft 14: mflops = 49.1959 (norm. = 0.610925), norm. avg. (of 14) = 0.551008
  fft 15: mflops = 35.2209 (norm. = 0.43738), norm. avg. (of 14) = 0.316385
  fft 16: mflops = 35.9101 (norm. = 0.445939), norm. avg. (of 14) = 0.305185
  fft 17: mflops = -1 (norm. = -0.0124182), norm. avg. (of 12) = 0.395392
  fft 18: mflops = 43.8735 (norm. = 0.54483), norm. avg. (of 13) = 0.475918
  fft 19: mflops = 47.2636 (norm. = 0.586929), norm. avg. (of 13) = 0.579325
  fft 20: mflops = 44.4043 (norm. = 0.551422), norm. avg. (of 13) = 0.561255
  fft 21: mflops = 16.2247 (norm. = 0.201481), norm. avg. (of 14) = 0.118794
  fft 22: mflops = 54.7355 (norm. = 0.679717), norm. avg. (of 14) = 0.393288
  fft 23: mflops = 69.7722 (norm. = 0.866445), norm. avg. (of 13) = 0.342812
  fft 24: mflops = 75.5147 (norm. = 0.937757), norm. avg. (of 14) = 0.525771
  fft 25: mflops = 55.9454 (norm. = 0.694741), norm. avg. (of 14) = 0.400359
  fft 26: mflops = 8.03419 (norm. = 0.0997701), norm. avg. (of 14) = 0.0675786

Benchmarking for array size = 32768 (power of 2):
0. Arndt DIF: elapsed time t=1.261 s, 16 iters, t-(init.)=1.22 s
    t(norm)=0.155131, mflops=32.2308 (err=1.4e-014)
1. Arndt DIT: elapsed time t=1.292 s, 16 iters, t-(init.)=1.252 s
    t(norm)=0.1592, mflops=31.407 (err=1.4e-014)
2. Arndt Split-Radix: elapsed time t=1.623 s, 16 iters, t-(init.)=1.583 s
    t(norm)=0.201289, mflops=24.8399 (err=1.4e-014)
3. Arndt 4-step: elapsed time t=1.613 s, 16 iters, t-(init.)=1.573 s
    t(norm)=0.200017, mflops=24.9978 (err=1.4e-014)
4. Beauregard: elapsed time t=1.613 s, 8 iters, t-(init.)=1.603 s
    t(norm)=0.407664, mflops=12.265 (err=1.4e-014)
5. Bergland: elapsed time t=1.252 s, 32 iters, t-(init.)=1.182 s
    t(norm)=0.0751495, mflops=66.534 (err=1.4e-014)
6. CWP (min N) (N=34320): elapsed time t=1.251 s, 32 iters, t-(init.)=1.17 s
    t(norm)=0.0743866, mflops=67.2164
7. CWP (best N) (N=34320): elapsed time t=1.252 s, 32 iters, t-(init.)=1.172 s
    t(norm)=0.0745138, mflops=67.1017
8. Edelblute: elapsed time t=1.742 s, 16 iters, t-(init.)=1.702 s
    t(norm)=0.21642, mflops=23.1032 (err=1.4e-014)
9. FFTPACK (f2c): elapsed time t=1.793 s, 16 iters, t-(init.)=1.753 s
    t(norm)=0.222905, mflops=22.431 (err=1.4e-014)

FFTW_MEASURE plan: (cost = 5.025000e-002)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 2
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.642 s, 32 iters, t-(init.)=1.562 s
    t(norm)=0.0993093, mflops=50.3478 (err=1.4e-014)

FFTW_ESTIMATE plan: (cost = 2.883584e+005)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.783 s, 32 iters, t-(init.)=1.713 s
    t(norm)=0.10891, mflops=45.9096 (err=1.4e-014)
12. Frigo-old: elapsed time t=1.002 s, 16 iters, t-(init.)=0.962 s
    t(norm)=0.122325, mflops=40.8748 (err=1.4e-014)
13. Green: elapsed time t=1.201 s, 32 iters, t-(init.)=1.13 s
    t(norm)=0.0718435, mflops=69.5958 (err=1.4e-014)
14. GSL: elapsed time t=1.362 s, 16 iters, t-(init.)=1.332 s
    t(norm)=0.169373, mflops=29.5207 (err=1.4e-014)
15. GSL DIT: elapsed time t=1.362 s, 16 iters, t-(init.)=1.332 s
    t(norm)=0.169373, mflops=29.5207 (err=1.4e-014)
16. GSL DIF: elapsed time t=1.362 s, 16 iters, t-(init.)=1.322 s
    t(norm)=0.168101, mflops=29.744 (err=1.4e-014)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.903 s, 32 iters, t-(init.)=1.833 s
    t(norm)=0.116539, mflops=42.9041 (err=1.4e-014)
19. Mayer (simple): elapsed time t=1.782 s, 32 iters, t-(init.)=1.711 s
    t(norm)=0.108782, mflops=45.9633
20. Mayer (lookup): elapsed time t=1.011 s, 16 iters, t-(init.)=0.97 s
    t(norm)=0.123342, mflops=40.5377 (err=1.4e-014)
21. NAPACK (f2c): elapsed time t=1.002 s, 4 iters, t-(init.)=0.992 s
    t(norm)=0.504557, mflops=9.90968 (err=5.7e-013)
22. Ooura (C): elapsed time t=1.792 s, 32 iters, t-(init.)=1.711 s
    t(norm)=0.108782, mflops=45.9633 (err=1.4e-014)
23. Ransom: elapsed time t=1.582 s, 32 iters, t-(init.)=1.512 s
    t(norm)=0.0961304, mflops=52.0127 (err=1.5e-014)
24. Singleton (f2c): elapsed time t=1.602 s, 32 iters, t-(init.)=1.532 s
    t(norm)=0.0974019, mflops=51.3337 (err=2.1e-014)
25. Temperton (f2c): elapsed time t=1.933 s, 32 iters, t-(init.)=1.863 s
    t(norm)=0.118446, mflops=42.2132 (err=1.4e-014)
26. Valkenburg: elapsed time t=1.442 s, 4 iters, t-(init.)=1.432 s
    t(norm)=0.728353, mflops=6.8648 (err=1.4e-014)

Top mflops for N=32768 = 69.5958
Normalized results and averages for N=32768:
  fft 0: mflops = 32.2308 (norm. = 0.463115), norm. avg. (of 15) = 0.392023
  fft 1: mflops = 31.407 (norm. = 0.451278), norm. avg. (of 15) = 0.398637
  fft 2: mflops = 24.8399 (norm. = 0.356917), norm. avg. (of 15) = 0.2993
  fft 3: mflops = 24.9978 (norm. = 0.359186), norm. avg. (of 15) = 0.166142
  fft 4: mflops = 12.265 (norm. = 0.176232), norm. avg. (of 15) = 0.101677
  fft 5: mflops = 66.534 (norm. = 0.956007), norm. avg. (of 15) = 0.576861
  fft 6: mflops = 67.2164 (norm. = 0.965812), norm. avg. (of 15) = 0.478958
  fft 7: mflops = 67.1017 (norm. = 0.964164), norm. avg. (of 15) = 0.46602
  fft 8: mflops = 23.1032 (norm. = 0.331962), norm. avg. (of 14) = 0.242413
  fft 9: mflops = 22.431 (norm. = 0.322305), norm. avg. (of 15) = 0.260455
  fft 10: mflops = 50.3478 (norm. = 0.723431), norm. avg. (of 15) = 0.533175
  fft 11: mflops = 45.9096 (norm. = 0.659661), norm. avg. (of 15) = 0.429981
  fft 12: mflops = 40.8748 (norm. = 0.587318), norm. avg. (of 15) = 0.893364
  fft 13: mflops = 69.5958 (norm. = 1), norm. avg. (of 13) = 0.797076
  fft 14: mflops = 29.5207 (norm. = 0.424174), norm. avg. (of 15) = 0.542552
  fft 15: mflops = 29.5207 (norm. = 0.424174), norm. avg. (of 15) = 0.323571
  fft 16: mflops = 29.744 (norm. = 0.427383), norm. avg. (of 15) = 0.313332
  fft 17: mflops = -1 (norm. = -0.0143687), norm. avg. (of 12) = 0.395392
  fft 18: mflops = 42.9041 (norm. = 0.616476), norm. avg. (of 14) = 0.485958
  fft 19: mflops = 45.9633 (norm. = 0.660432), norm. avg. (of 14) = 0.585119
  fft 20: mflops = 40.5377 (norm. = 0.582474), norm. avg. (of 14) = 0.562771
  fft 21: mflops = 9.90968 (norm. = 0.142389), norm. avg. (of 15) = 0.120367
  fft 22: mflops = 45.9633 (norm. = 0.660432), norm. avg. (of 15) = 0.411098
  fft 23: mflops = 52.0127 (norm. = 0.747354), norm. avg. (of 14) = 0.371708
  fft 24: mflops = 51.3337 (norm. = 0.737598), norm. avg. (of 15) = 0.539893
  fft 25: mflops = 42.2132 (norm. = 0.606549), norm. avg. (of 15) = 0.414105
  fft 26: mflops = 6.8648 (norm. = 0.0986383), norm. avg. (of 15) = 0.0696492

Benchmarking for array size = 65536 (power of 2):
0. Arndt DIF: elapsed time t=1.452 s, 4 iters, t-(init.)=1.402 s
    t(norm)=0.334263, mflops=14.9583 (err=1.7e-014)
1. Arndt DIT: elapsed time t=1.472 s, 4 iters, t-(init.)=1.432 s
    t(norm)=0.341415, mflops=14.6449 (err=1.7e-014)
2. Arndt Split-Radix: elapsed time t=1.752 s, 4 iters, t-(init.)=1.712 s
    t(norm)=0.408173, mflops=12.2497 (err=1.7e-014)
3. Arndt 4-step: elapsed time t=1.001 s, 4 iters, t-(init.)=0.951 s
    t(norm)=0.226736, mflops=22.0521 (err=1.7e-014)
4. Beauregard: elapsed time t=1.021 s, 2 iters, t-(init.)=1.001 s
    t(norm)=0.477314, mflops=10.4753 (err=1.7e-014)
5. Bergland: elapsed time t=1.292 s, 8 iters, t-(init.)=1.212 s
    t(norm)=0.144482, mflops=34.6065 (err=1.7e-014)
6. CWP (min N) (N=72072): elapsed time t=1.001 s, 8 iters, t-(init.)=0.9 s
    t(norm)=0.107288, mflops=46.6034
7. CWP (best N) (N=72072): elapsed time t=1.002 s, 8 iters, t-(init.)=0.902 s
    t(norm)=0.107527, mflops=46.5
8. Edelblute: elapsed time t=1.813 s, 4 iters, t-(init.)=1.773 s
    t(norm)=0.422716, mflops=11.8283 (err=1.7e-014)
9. FFTPACK (f2c): elapsed time t=1.983 s, 8 iters, t-(init.)=1.903 s
    t(norm)=0.226855, mflops=22.0405 (err=1.7e-014)

FFTW_MEASURE plan: (cost = 1.200000e-001)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.843 s, 16 iters, t-(init.)=1.673 s
    t(norm)=0.0997186, mflops=50.1411 (err=1.7e-014)

FFTW_ESTIMATE plan: (cost = 5.767168e+005)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.161 s, 8 iters, t-(init.)=1.081 s
    t(norm)=0.128865, mflops=38.8002 (err=1.7e-014)
12. Frigo-old: elapsed time t=1.232 s, 8 iters, t-(init.)=1.142 s
    t(norm)=0.136137, mflops=36.7277 (err=1.7e-014)
13. Green: elapsed time t=1.162 s, 8 iters, t-(init.)=1.082 s
    t(norm)=0.128984, mflops=38.7644 (err=1.7e-014)
14. GSL: elapsed time t=1.472 s, 8 iters, t-(init.)=1.382 s
    t(norm)=0.164747, mflops=30.3495 (err=1.7e-014)
15. GSL DIT: elapsed time t=1.562 s, 4 iters, t-(init.)=1.522 s
    t(norm)=0.362873, mflops=13.7789 (err=1.7e-014)
16. GSL DIF: elapsed time t=1.532 s, 4 iters, t-(init.)=1.492 s
    t(norm)=0.355721, mflops=14.056 (err=1.8e-014)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.322 s, 8 iters, t-(init.)=1.242 s
    t(norm)=0.148058, mflops=33.7706 (err=1.7e-014)
19. Mayer (simple): elapsed time t=1.252 s, 8 iters, t-(init.)=1.172 s
    t(norm)=0.139713, mflops=35.7876
20. Mayer (lookup): elapsed time t=1.392 s, 8 iters, t-(init.)=1.302 s
    t(norm)=0.15521, mflops=32.2143 (err=1.7e-014)
21. NAPACK (f2c): elapsed time t=1.092 s, 2 iters, t-(init.)=1.072 s
    t(norm)=0.511169, mflops=9.78149 (err=8.7e-013)
22. Ooura (C): elapsed time t=1.342 s, 8 iters, t-(init.)=1.252 s
    t(norm)=0.14925, mflops=33.5008 (err=1.7e-014)
23. Ransom: elapsed time t=1.221 s, 8 iters, t-(init.)=1.13 s
    t(norm)=0.134706, mflops=37.1177 (err=1.7e-014)
24. Singleton (f2c): elapsed time t=1.522 s, 8 iters, t-(init.)=1.441 s
    t(norm)=0.171781, mflops=29.1069 (err=2.3e-014)
25. Temperton (f2c): elapsed time t=1.642 s, 8 iters, t-(init.)=1.562 s
    t(norm)=0.186205, mflops=26.8521 (err=1.7e-014)
26. Valkenburg: elapsed time t=1.832 s, 2 iters, t-(init.)=1.812 s
    t(norm)=0.864029, mflops=5.78684 (err=1.7e-014)

Top mflops for N=65536 = 50.1411
Normalized results and averages for N=65536:
  fft 0: mflops = 14.9583 (norm. = 0.298324), norm. avg. (of 16) = 0.386167
  fft 1: mflops = 14.6449 (norm. = 0.292074), norm. avg. (of 16) = 0.391977
  fft 2: mflops = 12.2497 (norm. = 0.244305), norm. avg. (of 16) = 0.295863
  fft 3: mflops = 22.0521 (norm. = 0.4398), norm. avg. (of 16) = 0.183246
  fft 4: mflops = 10.4753 (norm. = 0.208916), norm. avg. (of 16) = 0.108379
  fft 5: mflops = 34.6065 (norm. = 0.690182), norm. avg. (of 16) = 0.583944
  fft 6: mflops = 46.6034 (norm. = 0.929444), norm. avg. (of 16) = 0.507113
  fft 7: mflops = 46.5 (norm. = 0.927384), norm. avg. (of 16) = 0.494855
  fft 8: mflops = 11.8283 (norm. = 0.2359), norm. avg. (of 15) = 0.241979
  fft 9: mflops = 22.0405 (norm. = 0.439569), norm. avg. (of 16) = 0.27165
  fft 10: mflops = 50.1411 (norm. = 1), norm. avg. (of 16) = 0.562352
  fft 11: mflops = 38.8002 (norm. = 0.773821), norm. avg. (of 16) = 0.451471
  fft 12: mflops = 36.7277 (norm. = 0.732487), norm. avg. (of 16) = 0.883309
  fft 13: mflops = 38.7644 (norm. = 0.773105), norm. avg. (of 14) = 0.795364
  fft 14: mflops = 30.3495 (norm. = 0.605282), norm. avg. (of 16) = 0.546473
  fft 15: mflops = 13.7789 (norm. = 0.274803), norm. avg. (of 16) = 0.320523
  fft 16: mflops = 14.056 (norm. = 0.280328), norm. avg. (of 16) = 0.311269
  fft 17: mflops = -1 (norm. = -0.0199437), norm. avg. (of 12) = 0.395392
  fft 18: mflops = 33.7706 (norm. = 0.67351), norm. avg. (of 15) = 0.498462
  fft 19: mflops = 35.7876 (norm. = 0.713737), norm. avg. (of 15) = 0.593693
  fft 20: mflops = 32.2143 (norm. = 0.642473), norm. avg. (of 15) = 0.568084
  fft 21: mflops = 9.78149 (norm. = 0.195079), norm. avg. (of 16) = 0.125037
  fft 22: mflops = 33.5008 (norm. = 0.668131), norm. avg. (of 16) = 0.427162
  fft 23: mflops = 37.1177 (norm. = 0.740265), norm. avg. (of 15) = 0.396279
  fft 24: mflops = 29.1069 (norm. = 0.5805), norm. avg. (of 16) = 0.542431
  fft 25: mflops = 26.8521 (norm. = 0.535531), norm. avg. (of 16) = 0.421694
  fft 26: mflops = 5.78684 (norm. = 0.115411), norm. avg. (of 16) = 0.0725093

Benchmarking for array size = 131072 (power of 2):
0. Arndt DIF: elapsed time t=1.703 s, 2 iters, t-(init.)=1.653 s
    t(norm)=0.370923, mflops=13.4799 (err=3.4e-014)
1. Arndt DIT: elapsed time t=1.712 s, 2 iters, t-(init.)=1.661 s
    t(norm)=0.372718, mflops=13.415 (err=3.4e-014)
2. Arndt Split-Radix: elapsed time t=1.131 s, 1 iters, t-(init.)=1.1 s
    t(norm)=0.493667, mflops=10.1283 (err=3.4e-014)
3. Arndt 4-step: elapsed time t=1.342 s, 2 iters, t-(init.)=1.282 s
    t(norm)=0.287673, mflops=17.3808 (err=3.4e-014)
4. Beauregard: elapsed time t=1.111 s, 1 iters, t-(init.)=1.091 s
    t(norm)=0.489628, mflops=10.2118 (err=3.4e-014)
5. Bergland: elapsed time t=1.512 s, 4 iters, t-(init.)=1.412 s
    t(norm)=0.158422, mflops=31.5612 (err=3.4e-014)
6. CWP (min N) (N=144144): elapsed time t=1.112 s, 4 iters, t-(init.)=1.002 s
    t(norm)=0.112421, mflops=44.4755
7. CWP (best N) (N=144144): elapsed time t=1.101 s, 4 iters, t-(init.)=0.991 s
    t(norm)=0.111187, mflops=44.9692
8. Edelblute: elapsed time t=1.172 s, 1 iters, t-(init.)=1.152 s
    t(norm)=0.517004, mflops=9.67111 (err=3.4e-014)
9. FFTPACK (f2c): elapsed time t=1.212 s, 2 iters, t-(init.)=1.162 s
    t(norm)=0.260746, mflops=19.1758 (err=3.4e-014)

FFTW_MEASURE plan: (cost = 2.700000e-001)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 16
FFTW_TWIDDLE 4
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.032 s, 4 iters, t-(init.)=0.932 s
    t(norm)=0.104568, mflops=47.816 (err=3.4e-014)

FFTW_ESTIMATE plan: (cost = 1.153434e+006)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.222 s, 4 iters, t-(init.)=1.122 s
    t(norm)=0.125885, mflops=39.7188 (err=3.4e-014)
12. Frigo-old: elapsed time t=1.402 s, 4 iters, t-(init.)=1.301 s
    t(norm)=0.145968, mflops=34.254 (err=3.4e-014)
13. Green: elapsed time t=1.452 s, 4 iters, t-(init.)=1.352 s
    t(norm)=0.15169, mflops=32.9619 (err=3.4e-014)
14. GSL: elapsed time t=1.842 s, 4 iters, t-(init.)=1.742 s
    t(norm)=0.195447, mflops=25.5824 (err=3.4e-014)
15. GSL DIT: elapsed time t=1.892 s, 2 iters, t-(init.)=1.842 s
    t(norm)=0.413334, mflops=12.0968 (err=3.5e-014)
16. GSL DIF: elapsed time t=1.833 s, 2 iters, t-(init.)=1.783 s
    t(norm)=0.400094, mflops=12.497 (err=3.6e-014)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.422 s, 2 iters, t-(init.)=1.372 s
    t(norm)=0.307869, mflops=16.2407 (err=3.4e-014)
19. Mayer (simple): elapsed time t=1.402 s, 2 iters, t-(init.)=1.352 s
    t(norm)=0.303381, mflops=16.4809
20. Mayer (lookup): elapsed time t=1.472 s, 2 iters, t-(init.)=1.422 s
    t(norm)=0.319088, mflops=15.6696 (err=3.4e-014)
21. NAPACK (f2c): elapsed time t=1.212 s, 1 iters, t-(init.)=1.182 s
    t(norm)=0.530467, mflops=9.42565 (err=2.0e-012)
22. Ooura (C): elapsed time t=1.552 s, 4 iters, t-(init.)=1.452 s
    t(norm)=0.16291, mflops=30.6918 (err=3.4e-014)
23. Ransom: elapsed time t=1.582 s, 4 iters, t-(init.)=1.472 s
    t(norm)=0.165154, mflops=30.2748 (err=3.4e-014)
24. Singleton (f2c): elapsed time t=2.003 s, 4 iters, t-(init.)=1.903 s
    t(norm)=0.213511, mflops=23.418 (err=4.9e-014)
25. Temperton (f2c): elapsed time t=1.031 s, 2 iters, t-(init.)=0.981 s
    t(norm)=0.22013, mflops=22.7138 (err=3.4e-014)
26. Valkenburg: elapsed time t=1.973 s, 1 iters, t-(init.)=1.953 s
    t(norm)=0.876483, mflops=5.70462 (err=3.4e-014)

Top mflops for N=131072 = 47.816
Normalized results and averages for N=131072:
  fft 0: mflops = 13.4799 (norm. = 0.281912), norm. avg. (of 17) = 0.380034
  fft 1: mflops = 13.415 (norm. = 0.280554), norm. avg. (of 17) = 0.385423
  fft 2: mflops = 10.1283 (norm. = 0.211818), norm. avg. (of 17) = 0.290919
  fft 3: mflops = 17.3808 (norm. = 0.363495), norm. avg. (of 17) = 0.193849
  fft 4: mflops = 10.2118 (norm. = 0.213566), norm. avg. (of 17) = 0.114567
  fft 5: mflops = 31.5612 (norm. = 0.660057), norm. avg. (of 17) = 0.588421
  fft 6: mflops = 44.4755 (norm. = 0.93014), norm. avg. (of 17) = 0.531997
  fft 7: mflops = 44.9692 (norm. = 0.940464), norm. avg. (of 17) = 0.521067
  fft 8: mflops = 9.67111 (norm. = 0.202257), norm. avg. (of 16) = 0.239496
  fft 9: mflops = 19.1758 (norm. = 0.401033), norm. avg. (of 17) = 0.279261
  fft 10: mflops = 47.816 (norm. = 1), norm. avg. (of 17) = 0.588096
  fft 11: mflops = 39.7188 (norm. = 0.83066), norm. avg. (of 17) = 0.473776
  fft 12: mflops = 34.254 (norm. = 0.716372), norm. avg. (of 17) = 0.873489
  fft 13: mflops = 32.9619 (norm. = 0.689349), norm. avg. (of 15) = 0.788296
  fft 14: mflops = 25.5824 (norm. = 0.535017), norm. avg. (of 17) = 0.545799
  fft 15: mflops = 12.0968 (norm. = 0.252986), norm. avg. (of 17) = 0.31655
  fft 16: mflops = 12.497 (norm. = 0.261357), norm. avg. (of 17) = 0.308333
  fft 17: mflops = -1 (norm. = -0.0209135), norm. avg. (of 12) = 0.395392
  fft 18: mflops = 16.2407 (norm. = 0.33965), norm. avg. (of 16) = 0.488536
  fft 19: mflops = 16.4809 (norm. = 0.344675), norm. avg. (of 16) = 0.57813
  fft 20: mflops = 15.6696 (norm. = 0.327707), norm. avg. (of 16) = 0.553061
  fft 21: mflops = 9.42565 (norm. = 0.197124), norm. avg. (of 17) = 0.129277
  fft 22: mflops = 30.6918 (norm. = 0.641873), norm. avg. (of 17) = 0.439792
  fft 23: mflops = 30.2748 (norm. = 0.633152), norm. avg. (of 16) = 0.411083
  fft 24: mflops = 23.418 (norm. = 0.489753), norm. avg. (of 17) = 0.539332
  fft 25: mflops = 22.7138 (norm. = 0.475025), norm. avg. (of 17) = 0.424831
  fft 26: mflops = 5.70462 (norm. = 0.119304), norm. avg. (of 17) = 0.0752619

Benchmarking for array size = 262144 (power of 2):
0. Arndt DIF: elapsed time t=1.983 s, 1 iters, t-(init.)=1.933 s
    t(norm)=0.409656, mflops=12.2054 (err=4.3e-014)
1. Arndt DIT: elapsed time t=1.993 s, 1 iters, t-(init.)=1.943 s
    t(norm)=0.411775, mflops=12.1425 (err=4.3e-014)
2. Arndt Split-Radix: elapsed time t=2.484 s, 1 iters, t-(init.)=2.434 s
    t(norm)=0.515832, mflops=9.69308 (err=4.3e-014)
3. Arndt 4-step: elapsed time t=1.162 s, 1 iters, t-(init.)=1.112 s
    t(norm)=0.235664, mflops=21.2167 (err=4.3e-014)
4. Beauregard: elapsed time t=2.364 s, 1 iters, t-(init.)=2.314 s
    t(norm)=0.490401, mflops=10.1957 (err=4.4e-014)
5. Bergland: elapsed time t=1.562 s, 2 iters, t-(init.)=1.452 s
    t(norm)=0.153859, mflops=32.4972 (err=4.4e-014)
6. CWP (min N) (N=360360): elapsed time t=1.612 s, 2 iters, t-(init.)=1.472 s
    t(norm)=0.155979, mflops=32.0557
7. CWP (best N) (N=360360): elapsed time t=1.613 s, 2 iters, t-(init.)=1.473 s
    t(norm)=0.156085, mflops=32.0339
8. Edelblute: elapsed time t=2.563 s, 1 iters, t-(init.)=2.503 s
    t(norm)=0.530455, mflops=9.42587 (err=4.3e-014)
9. FFTPACK (f2c): elapsed time t=1.262 s, 1 iters, t-(init.)=1.212 s
    t(norm)=0.256856, mflops=19.4661 (err=4.4e-014)

FFTW_MEASURE plan: (cost = 5.900000e-001)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 4
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_TWIDDLE 8
FFTW_TWIDDLE 2
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.112 s, 2 iters, t-(init.)=1.002 s
    t(norm)=0.106176, mflops=47.0917 (err=4.4e-014)

FFTW_ESTIMATE plan: (cost = 2.988442e+006)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.291 s, 2 iters, t-(init.)=1.19 s
    t(norm)=0.126097, mflops=39.652 (err=4.4e-014)
12. Frigo-old: elapsed time t=1.612 s, 2 iters, t-(init.)=1.512 s
    t(norm)=0.160217, mflops=31.2076 (err=4.4e-014)
13. Green: elapsed time t=1.503 s, 2 iters, t-(init.)=1.403 s
    t(norm)=0.148667, mflops=33.6322 (err=4.4e-014)
14. GSL: elapsed time t=1.862 s, 2 iters, t-(init.)=1.762 s
    t(norm)=0.186708, mflops=26.7798 (err=4.4e-014)
15. GSL DIT: elapsed time t=2.013 s, 1 iters, t-(init.)=1.963 s
    t(norm)=0.416014, mflops=12.0188 (err=4.6e-014)
16. GSL DIF: elapsed time t=1.973 s, 1 iters, t-(init.)=1.923 s
    t(norm)=0.407537, mflops=12.2688 (err=4.6e-014)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.722 s, 1 iters, t-(init.)=1.672 s
    t(norm)=0.354343, mflops=14.1106 (err=4.3e-014)
19. Mayer (simple): elapsed time t=1.703 s, 1 iters, t-(init.)=1.653 s
    t(norm)=0.350316, mflops=14.2728
20. Mayer (lookup): elapsed time t=1.783 s, 1 iters, t-(init.)=1.733 s
    t(norm)=0.367271, mflops=13.6139 (err=4.3e-014)
21. NAPACK (f2c): elapsed time t=2.484 s, 1 iters, t-(init.)=2.434 s
    t(norm)=0.515832, mflops=9.69308 (err=3.7e-012)
22. Ooura (C): elapsed time t=1.582 s, 2 iters, t-(init.)=1.472 s
    t(norm)=0.155979, mflops=32.0557 (err=4.4e-014)
23. Ransom: elapsed time t=1.312 s, 2 iters, t-(init.)=1.202 s
    t(norm)=0.127369, mflops=39.2562 (err=4.3e-014)
24. Singleton (f2c): elapsed time t=1.001 s, 1 iters, t-(init.)=0.941 s
    t(norm)=0.199424, mflops=25.0722 (err=6.1e-014)
25. Temperton (f2c): elapsed time t=1.052 s, 1 iters, t-(init.)=1.002 s
    t(norm)=0.212351, mflops=23.5459 (err=4.4e-014)
26. Valkenburg: elapsed time t=4.226 s, 1 iters, t-(init.)=4.176 s
    t(norm)=0.88501, mflops=5.64966 (err=4.4e-014)

Top mflops for N=262144 = 47.0917
Normalized results and averages for N=262144:
  fft 0: mflops = 12.2054 (norm. = 0.259183), norm. avg. (of 18) = 0.37332
  fft 1: mflops = 12.1425 (norm. = 0.257849), norm. avg. (of 18) = 0.378335
  fft 2: mflops = 9.69308 (norm. = 0.205834), norm. avg. (of 18) = 0.286192
  fft 3: mflops = 21.2167 (norm. = 0.45054), norm. avg. (of 18) = 0.208109
  fft 4: mflops = 10.1957 (norm. = 0.216508), norm. avg. (of 18) = 0.12023
  fft 5: mflops = 32.4972 (norm. = 0.690083), norm. avg. (of 18) = 0.594069
  fft 6: mflops = 32.0557 (norm. = 0.680707), norm. avg. (of 18) = 0.540259
  fft 7: mflops = 32.0339 (norm. = 0.680244), norm. avg. (of 18) = 0.52991
  fft 8: mflops = 9.42587 (norm. = 0.20016), norm. avg. (of 17) = 0.237182
  fft 9: mflops = 19.4661 (norm. = 0.413366), norm. avg. (of 18) = 0.286711
  fft 10: mflops = 47.0917 (norm. = 1), norm. avg. (of 18) = 0.610979
  fft 11: mflops = 39.652 (norm. = 0.842017), norm. avg. (of 18) = 0.494234
  fft 12: mflops = 31.2076 (norm. = 0.662698), norm. avg. (of 18) = 0.861779
  fft 13: mflops = 33.6322 (norm. = 0.714184), norm. avg. (of 16) = 0.783664
  fft 14: mflops = 26.7798 (norm. = 0.568672), norm. avg. (of 18) = 0.54707
  fft 15: mflops = 12.0188 (norm. = 0.255222), norm. avg. (of 18) = 0.313143
  fft 16: mflops = 12.2688 (norm. = 0.26053), norm. avg. (of 18) = 0.305677
  fft 17: mflops = -1 (norm. = -0.0212351), norm. avg. (of 12) = 0.395392
  fft 18: mflops = 14.1106 (norm. = 0.299641), norm. avg. (of 17) = 0.477424
  fft 19: mflops = 14.2728 (norm. = 0.303085), norm. avg. (of 17) = 0.561951
  fft 20: mflops = 13.6139 (norm. = 0.289094), norm. avg. (of 17) = 0.537533
  fft 21: mflops = 9.69308 (norm. = 0.205834), norm. avg. (of 18) = 0.13353
  fft 22: mflops = 32.0557 (norm. = 0.680707), norm. avg. (of 18) = 0.453176
  fft 23: mflops = 39.2562 (norm. = 0.833611), norm. avg. (of 17) = 0.435938
  fft 24: mflops = 25.0722 (norm. = 0.532412), norm. avg. (of 18) = 0.538948
  fft 25: mflops = 23.5459 (norm. = 0.5), norm. avg. (of 18) = 0.429007
  fft 26: mflops = 5.64966 (norm. = 0.119971), norm. avg. (of 18) = 0.0777458

Benchmarking for array size = 524288 (power of 2):
0. Arndt DIF: elapsed time t=4.026 s, 1 iters, t-(init.)=3.926 s
    t(norm)=0.394118, mflops=12.6865 (err=1.1e-013)
1. Arndt DIT: elapsed time t=4.026 s, 1 iters, t-(init.)=3.926 s
    t(norm)=0.394118, mflops=12.6865 (err=1.1e-013)
2. Arndt Split-Radix: elapsed time t=5.408 s, 1 iters, t-(init.)=5.298 s
    t(norm)=0.531849, mflops=9.40116 (err=1.1e-013)
3. Arndt 4-step: elapsed time t=3.034 s, 1 iters, t-(init.)=2.933 s
    t(norm)=0.294434, mflops=16.9817 (err=1.1e-013)
4. Beauregard: elapsed time t=4.987 s, 1 iters, t-(init.)=4.877 s
    t(norm)=0.489586, mflops=10.2127 (err=1.1e-013)
5. Bergland: elapsed time t=1.843 s, 1 iters, t-(init.)=1.743 s
    t(norm)=0.174974, mflops=28.5757 (err=1.1e-013)
6. CWP (min N) (N=720720): elapsed time t=1.632 s, 1 iters, t-(init.)=1.482 s
    t(norm)=0.148773, mflops=33.6082
7. CWP (best N) (N=720720): elapsed time t=1.632 s, 1 iters, t-(init.)=1.492 s
    t(norm)=0.149777, mflops=33.3829
8. Edelblute: elapsed time t=5.538 s, 1 iters, t-(init.)=5.428 s
    t(norm)=0.544899, mflops=9.17601 (err=1.1e-013)
9. FFTPACK (f2c): elapsed time t=2.574 s, 1 iters, t-(init.)=2.464 s
    t(norm)=0.247353, mflops=20.214 (err=1.1e-013)

FFTW_MEASURE plan: (cost = 1.212000e+000)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=1.172 s, 1 iters, t-(init.)=1.072 s
    t(norm)=0.107615, mflops=46.4621 (err=1.1e-013)

FFTW_ESTIMATE plan: (cost = 5.976883e+006)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=1.392 s, 1 iters, t-(init.)=1.292 s
    t(norm)=0.1297, mflops=38.5506 (err=1.1e-013)
12. Frigo-old: elapsed time t=1.802 s, 1 iters, t-(init.)=1.702 s
    t(norm)=0.170858, mflops=29.264 (err=1.1e-013)
13. Green: elapsed time t=1.682 s, 1 iters, t-(init.)=1.572 s
    t(norm)=0.157808, mflops=31.6841 (err=1.1e-013)
14. GSL: elapsed time t=1.893 s, 1 iters, t-(init.)=1.793 s
    t(norm)=0.179993, mflops=27.7788 (err=1.1e-013)
15. GSL DIT: elapsed time t=4.336 s, 1 iters, t-(init.)=4.235 s
    t(norm)=0.425138, mflops=11.7609 (err=1.1e-013)
16. GSL DIF: elapsed time t=4.236 s, 1 iters, t-(init.)=4.136 s
    t(norm)=0.4152, mflops=12.0424 (err=1.1e-013)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=3.745 s, 1 iters, t-(init.)=3.645 s
    t(norm)=0.36591, mflops=13.6646 (err=1.1e-013)
19. Mayer (simple): elapsed time t=3.695 s, 1 iters, t-(init.)=3.585 s
    t(norm)=0.359887, mflops=13.8933
20. Mayer (lookup): elapsed time t=3.846 s, 1 iters, t-(init.)=3.746 s
    t(norm)=0.376049, mflops=13.2961 (err=1.1e-013)
21. NAPACK (f2c): elapsed time t=5.398 s, 1 iters, t-(init.)=5.298 s
    t(norm)=0.531849, mflops=9.40116 (err=7.9e-012)
22. Ooura (C): elapsed time t=1.713 s, 1 iters, t-(init.)=1.603 s
    t(norm)=0.16092, mflops=31.0713 (err=1.1e-013)
23. Ransom: elapsed time t=1.672 s, 1 iters, t-(init.)=1.562 s
    t(norm)=0.156804, mflops=31.8869 (err=1.1e-013)
24. Singleton (f2c): elapsed time t=2.513 s, 1 iters, t-(init.)=2.413 s
    t(norm)=0.242233, mflops=20.6413 (err=1.6e-013)
25. Temperton (f2c): elapsed time t=2.364 s, 1 iters, t-(init.)=2.254 s
    t(norm)=0.226272, mflops=22.0973 (err=1.1e-013)
26. Valkenburg: elapsed time t=9.083 s, 1 iters, t-(init.)=8.983 s
    t(norm)=0.901774, mflops=5.54462 (err=1.1e-013)

Top mflops for N=524288 = 46.4621
Normalized results and averages for N=524288:
  fft 0: mflops = 12.6865 (norm. = 0.273051), norm. avg. (of 19) = 0.368043
  fft 1: mflops = 12.6865 (norm. = 0.273051), norm. avg. (of 19) = 0.372794
  fft 2: mflops = 9.40116 (norm. = 0.202341), norm. avg. (of 19) = 0.281779
  fft 3: mflops = 16.9817 (norm. = 0.365496), norm. avg. (of 19) = 0.216393
  fft 4: mflops = 10.2127 (norm. = 0.219807), norm. avg. (of 19) = 0.125471
  fft 5: mflops = 28.5757 (norm. = 0.615032), norm. avg. (of 19) = 0.595172
  fft 6: mflops = 33.6082 (norm. = 0.723347), norm. avg. (of 19) = 0.549895
  fft 7: mflops = 33.3829 (norm. = 0.718499), norm. avg. (of 19) = 0.539836
  fft 8: mflops = 9.17601 (norm. = 0.197494), norm. avg. (of 18) = 0.234978
  fft 9: mflops = 20.214 (norm. = 0.435065), norm. avg. (of 19) = 0.294519
  fft 10: mflops = 46.4621 (norm. = 1), norm. avg. (of 19) = 0.631454
  fft 11: mflops = 38.5506 (norm. = 0.829721), norm. avg. (of 19) = 0.511891
  fft 12: mflops = 29.264 (norm. = 0.629847), norm. avg. (of 19) = 0.849572
  fft 13: mflops = 31.6841 (norm. = 0.681934), norm. avg. (of 17) = 0.77768
  fft 14: mflops = 27.7788 (norm. = 0.597881), norm. avg. (of 19) = 0.549744
  fft 15: mflops = 11.7609 (norm. = 0.253129), norm. avg. (of 19) = 0.309984
  fft 16: mflops = 12.0424 (norm. = 0.259188), norm. avg. (of 19) = 0.303231
  fft 17: mflops = -1 (norm. = -0.0215229), norm. avg. (of 12) = 0.395392
  fft 18: mflops = 13.6646 (norm. = 0.294102), norm. avg. (of 18) = 0.46724
  fft 19: mflops = 13.8933 (norm. = 0.299024), norm. avg. (of 18) = 0.547343
  fft 20: mflops = 13.2961 (norm. = 0.286172), norm. avg. (of 18) = 0.523569
  fft 21: mflops = 9.40116 (norm. = 0.202341), norm. avg. (of 19) = 0.137152
  fft 22: mflops = 31.0713 (norm. = 0.668746), norm. avg. (of 19) = 0.464522
  fft 23: mflops = 31.8869 (norm. = 0.6863), norm. avg. (of 18) = 0.449847
  fft 24: mflops = 20.6413 (norm. = 0.44426), norm. avg. (of 19) = 0.533964
  fft 25: mflops = 22.0973 (norm. = 0.475599), norm. avg. (of 19) = 0.43146
  fft 26: mflops = 5.54462 (norm. = 0.119337), norm. avg. (of 19) = 0.0799348

Benchmarking for array size = 1048576 (power of 2):
0. Arndt DIF: elapsed time t=9.093 s, 1 iters, t-(init.)=8.883 s
    t(norm)=0.423574, mflops=11.8043 (err=1.9e-013)
1. Arndt DIT: elapsed time t=9.083 s, 1 iters, t-(init.)=8.872 s
    t(norm)=0.42305, mflops=11.8189 (err=1.9e-013)
2. Arndt Split-Radix: elapsed time t=11.396 s, 1 iters, t-(init.)=11.195 s
    t(norm)=0.533819, mflops=9.36647 (err=1.9e-013)
3. Arndt 4-step: elapsed time t=4.756 s, 1 iters, t-(init.)=4.545 s
    t(norm)=0.216722, mflops=23.071 (err=1.9e-013)
4. Beauregard: elapsed time t=10.526 s, 1 iters, t-(init.)=10.316 s
    t(norm)=0.491905, mflops=10.1646 (err=1.9e-013)
5. Bergland: elapsed time t=3.765 s, 1 iters, t-(init.)=3.554 s
    t(norm)=0.169468, mflops=29.5041 (err=1.9e-013)
6. Skipping fft (this transform size is too big for CWP).
7. Skipping fft (this transform size is too big for CWP).
8. Edelblute: elapsed time t=11.656 s, 1 iters, t-(init.)=11.445 s
    t(norm)=0.54574, mflops=9.16187 (err=1.9e-013)
9. FFTPACK (f2c): elapsed time t=5.548 s, 1 iters, t-(init.)=5.337 s
    t(norm)=0.254488, mflops=19.6473 (err=1.9e-013)

FFTW_MEASURE plan: (cost = 2.543000e+000)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 4
FFTW_TWIDDLE 32
FFTW_TWIDDLE 4
FFTW_TWIDDLE 4
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=2.474 s, 1 iters, t-(init.)=2.274 s
    t(norm)=0.108433, mflops=46.1115 (err=1.9e-013)

FFTW_ESTIMATE plan: (cost = 1.195377e+007)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 8
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=2.894 s, 1 iters, t-(init.)=2.684 s
    t(norm)=0.127983, mflops=39.0677 (err=1.9e-013)
12. Frigo-old: elapsed time t=4.547 s, 1 iters, t-(init.)=4.347 s
    t(norm)=0.207281, mflops=24.1218 (err=1.9e-013)
13. Skipping fft (Green can't handle this size.).
14. GSL: elapsed time t=3.786 s, 1 iters, t-(init.)=3.576 s
    t(norm)=0.170517, mflops=29.3226 (err=1.9e-013)
15. GSL DIT: elapsed time t=9.183 s, 1 iters, t-(init.)=8.972 s
    t(norm)=0.427818, mflops=11.6872 (err=1.9e-013)
16. GSL DIF: elapsed time t=9.003 s, 1 iters, t-(init.)=8.792 s
    t(norm)=0.419235, mflops=11.9265 (err=1.9e-013)
17. Skipping fft (Krukar can't handle N > 4096).
18. Skipping fft (Mayer (Buneman) can't handle N > 2^19).
19. Mayer (simple): elapsed time t=7.931 s, 1 iters, t-(init.)=7.721 s
    t(norm)=0.368166, mflops=13.5808
20. Mayer (lookup): elapsed time t=8.232 s, 1 iters, t-(init.)=8.022 s
    t(norm)=0.382519, mflops=13.0713 (err=1.9e-013)
21. NAPACK (f2c): elapsed time t=11.006 s, 1 iters, t-(init.)=10.795 s
    t(norm)=0.514746, mflops=9.71353 (err=1.5e-011)
22. Ooura (C): elapsed time t=3.475 s, 1 iters, t-(init.)=3.265 s
    t(norm)=0.155687, mflops=32.1157 (err=1.9e-013)
23. Ransom: elapsed time t=2.834 s, 1 iters, t-(init.)=2.624 s
    t(norm)=0.125122, mflops=39.961 (err=1.9e-013)
24. Singleton (f2c): elapsed time t=4.526 s, 1 iters, t-(init.)=4.316 s
    t(norm)=0.205803, mflops=24.2951 (err=2.6e-013)
25. Temperton (f2c): elapsed time t=4.707 s, 1 iters, t-(init.)=4.497 s
    t(norm)=0.214434, mflops=23.3172 (err=1.9e-013)
26. Valkenburg: elapsed time t=19.387 s, 1 iters, t-(init.)=19.176 s
    t(norm)=0.914383, mflops=5.46817 (err=1.9e-013)

Top mflops for N=1048576 = 46.1115
Normalized results and averages for N=1048576:
  fft 0: mflops = 11.8043 (norm. = 0.255995), norm. avg. (of 20) = 0.36244
  fft 1: mflops = 11.8189 (norm. = 0.256312), norm. avg. (of 20) = 0.36697
  fft 2: mflops = 9.36647 (norm. = 0.203126), norm. avg. (of 20) = 0.277846
  fft 3: mflops = 23.071 (norm. = 0.50033), norm. avg. (of 20) = 0.23059
  fft 4: mflops = 10.1646 (norm. = 0.220434), norm. avg. (of 20) = 0.130219
  fft 5: mflops = 29.5041 (norm. = 0.639842), norm. avg. (of 20) = 0.597406
  fft 6: mflops = -1 (norm. = -0.0216866), norm. avg. (of 19) = 0.549895
  fft 7: mflops = -1 (norm. = -0.0216866), norm. avg. (of 19) = 0.539836
  fft 8: mflops = 9.16187 (norm. = 0.198689), norm. avg. (of 19) = 0.233068
  fft 9: mflops = 19.6473 (norm. = 0.426082), norm. avg. (of 20) = 0.301097
  fft 10: mflops = 46.1115 (norm. = 1), norm. avg. (of 20) = 0.649881
  fft 11: mflops = 39.0677 (norm. = 0.847243), norm. avg. (of 20) = 0.528659
  fft 12: mflops = 24.1218 (norm. = 0.523119), norm. avg. (of 20) = 0.833249
  fft 13: mflops = -1 (norm. = -0.0216866), norm. avg. (of 17) = 0.77768
  fft 14: mflops = 29.3226 (norm. = 0.635906), norm. avg. (of 20) = 0.554052
  fft 15: mflops = 11.6872 (norm. = 0.253455), norm. avg. (of 20) = 0.307158
  fft 16: mflops = 11.9265 (norm. = 0.258644), norm. avg. (of 20) = 0.301001
  fft 17: mflops = -1 (norm. = -0.0216866), norm. avg. (of 12) = 0.395392
  fft 18: mflops = -1 (norm. = -0.0216866), norm. avg. (of 18) = 0.46724
  fft 19: mflops = 13.5808 (norm. = 0.294521), norm. avg. (of 19) = 0.534037
  fft 20: mflops = 13.0713 (norm. = 0.28347), norm. avg. (of 19) = 0.510932
  fft 21: mflops = 9.71353 (norm. = 0.210653), norm. avg. (of 20) = 0.140827
  fft 22: mflops = 32.1157 (norm. = 0.696478), norm. avg. (of 20) = 0.47612
  fft 23: mflops = 39.961 (norm. = 0.866616), norm. avg. (of 19) = 0.471782
  fft 24: mflops = 24.2951 (norm. = 0.526877), norm. avg. (of 20) = 0.53361
  fft 25: mflops = 23.3172 (norm. = 0.50567), norm. avg. (of 20) = 0.43517
  fft 26: mflops = 5.46817 (norm. = 0.118586), norm. avg. (of 20) = 0.0818673

Benchmarking for array size = 2097152 (power of 2):
0. Arndt DIF: elapsed time t=18.086 s, 1 iters, t-(init.)=17.665 s
    t(norm)=0.401111, mflops=12.4654 (err=2.7e-013)
1. Arndt DIT: elapsed time t=18.126 s, 1 iters, t-(init.)=17.705 s
    t(norm)=0.402019, mflops=12.4372 (err=2.7e-013)
2. Arndt Split-Radix: elapsed time t=24.004 s, 1 iters, t-(init.)=23.583 s
    t(norm)=0.535488, mflops=9.33728 (err=2.7e-013)
3. Arndt 4-step: elapsed time t=12.498 s, 1 iters, t-(init.)=12.077 s
    t(norm)=0.274227, mflops=18.2331 (err=2.7e-013)
4. Beauregard: elapsed time t=22.112 s, 1 iters, t-(init.)=21.692 s
    t(norm)=0.49255, mflops=10.1513 (err=2.7e-013)
5. Skipping fft (Bergland doesn't work for N > 2^20).
6. Skipping fft (this transform size is too big for CWP).
7. Skipping fft (this transform size is too big for CWP).
8. Edelblute: elapsed time t=24.595 s, 1 iters, t-(init.)=24.174 s
    t(norm)=0.548908, mflops=9.109 (err=2.7e-013)
9. FFTPACK (f2c): elapsed time t=12.738 s, 1 iters, t-(init.)=12.327 s
    t(norm)=0.279903, mflops=17.8633 (err=2.7e-013)

FFTW_MEASURE plan: (cost = 5.388000e+000)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 4
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 2

10. FFTW: elapsed time t=5.148 s, 1 iters, t-(init.)=4.738 s
    t(norm)=0.107584, mflops=46.4755 (err=2.7e-013)

FFTW_ESTIMATE plan: (cost = 2.390753e+007)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_TWIDDLE 16
FFTW_NOTW 32

11. FFTW_ESTIMATE: elapsed time t=6.159 s, 1 iters, t-(init.)=5.749 s
    t(norm)=0.13054, mflops=38.3025 (err=2.7e-013)
12. Frigo-old: elapsed time t=9.844 s, 1 iters, t-(init.)=9.423 s
    t(norm)=0.213964, mflops=23.3685 (err=2.7e-013)
13. Skipping fft (Green can't handle this size.).
14. GSL: elapsed time t=8.863 s, 1 iters, t-(init.)=8.443 s
    t(norm)=0.191711, mflops=26.0809 (err=2.7e-013)
15. GSL DIT: elapsed time t=18.837 s, 1 iters, t-(init.)=18.417 s
    t(norm)=0.418186, mflops=11.9564 (err=2.7e-013)
16. GSL DIF: elapsed time t=18.968 s, 1 iters, t-(init.)=18.548 s
    t(norm)=0.421161, mflops=11.872 (err=2.7e-013)
17. Skipping fft (Krukar can't handle N > 4096).
18. Skipping fft (Mayer (Buneman) can't handle N > 2^19).
19. Mayer (simple): elapsed time t=16.584 s, 1 iters, t-(init.)=16.164 s
    t(norm)=0.367028, mflops=13.6229
20. Mayer (lookup): elapsed time t=17.155 s, 1 iters, t-(init.)=16.735 s
    t(norm)=0.379994, mflops=13.1581 (err=2.7e-013)
21. NAPACK (f2c): elapsed time t=23.745 s, 1 iters, t-(init.)=23.325 s
    t(norm)=0.52963, mflops=9.44056 (err=1.9e-011)
22. Ooura (C): elapsed time t=7.461 s, 1 iters, t-(init.)=7.04 s
    t(norm)=0.159854, mflops=31.2785 (err=2.7e-013)
23. Ransom: elapsed time t=7.892 s, 1 iters, t-(init.)=7.472 s
    t(norm)=0.169663, mflops=29.4701 (err=2.7e-013)
24. Singleton (f2c): elapsed time t=9.985 s, 1 iters, t-(init.)=9.575 s
    t(norm)=0.217415, mflops=22.9975 (err=3.7e-013)
25. Temperton (f2c): elapsed time t=10.455 s, 1 iters, t-(init.)=10.034 s
    t(norm)=0.227837, mflops=21.9455 (err=2.7e-013)
26. Valkenburg: elapsed time t=41.69 s, 1 iters, t-(init.)=41.269 s
    t(norm)=0.937076, mflops=5.33575 (err=2.7e-013)

Top mflops for N=2097152 = 46.4755
Normalized results and averages for N=2097152:
  fft 0: mflops = 12.4654 (norm. = 0.268214), norm. avg. (of 21) = 0.357953
  fft 1: mflops = 12.4372 (norm. = 0.267608), norm. avg. (of 21) = 0.362238
  fft 2: mflops = 9.33728 (norm. = 0.200907), norm. avg. (of 21) = 0.274182
  fft 3: mflops = 18.2331 (norm. = 0.392316), norm. avg. (of 21) = 0.238291
  fft 4: mflops = 10.1513 (norm. = 0.218422), norm. avg. (of 21) = 0.134419
  fft 5: mflops = -1 (norm. = -0.0215167), norm. avg. (of 20) = 0.597406
  fft 6: mflops = -1 (norm. = -0.0215167), norm. avg. (of 19) = 0.549895
  fft 7: mflops = -1 (norm. = -0.0215167), norm. avg. (of 19) = 0.539836
  fft 8: mflops = 9.109 (norm. = 0.195996), norm. avg. (of 20) = 0.231214
  fft 9: mflops = 17.8633 (norm. = 0.38436), norm. avg. (of 21) = 0.305062
  fft 10: mflops = 46.4755 (norm. = 1), norm. avg. (of 21) = 0.666554
  fft 11: mflops = 38.3025 (norm. = 0.824143), norm. avg. (of 21) = 0.54273
  fft 12: mflops = 23.3685 (norm. = 0.502812), norm. avg. (of 21) = 0.817514
  fft 13: mflops = -1 (norm. = -0.0215167), norm. avg. (of 17) = 0.77768
  fft 14: mflops = 26.0809 (norm. = 0.561175), norm. avg. (of 21) = 0.554391
  fft 15: mflops = 11.9564 (norm. = 0.257262), norm. avg. (of 21) = 0.304782
  fft 16: mflops = 11.872 (norm. = 0.255445), norm. avg. (of 21) = 0.298832
  fft 17: mflops = -1 (norm. = -0.0215167), norm. avg. (of 12) = 0.395392
  fft 18: mflops = -1 (norm. = -0.0215167), norm. avg. (of 18) = 0.46724
  fft 19: mflops = 13.6229 (norm. = 0.293121), norm. avg. (of 20) = 0.521991
  fft 20: mflops = 13.1581 (norm. = 0.283119), norm. avg. (of 20) = 0.499541
  fft 21: mflops = 9.44056 (norm. = 0.20313), norm. avg. (of 21) = 0.143794
  fft 22: mflops = 31.2785 (norm. = 0.673011), norm. avg. (of 21) = 0.485496
  fft 23: mflops = 29.4701 (norm. = 0.634101), norm. avg. (of 20) = 0.479898
  fft 24: mflops = 22.9975 (norm. = 0.49483), norm. avg. (of 21) = 0.531763
  fft 25: mflops = 21.9455 (norm. = 0.472195), norm. avg. (of 21) = 0.436933
  fft 26: mflops = 5.33575 (norm. = 0.114808), norm. avg. (of 21) = 0.0834359

------------------------------------------------------
@@@@ 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. CWP (min N)
1. CWP (best N)
2. FFTPACK (f2c)
3. FFTW
4. FFTW_ESTIMATE
5. Frigo-old
6. GSL
7. NAPACK (f2c)
8. Singleton (f2c)
9. Temperton (f2c)
10. Valkenburg


Computing normalized averages (11 transforms).

Benchmarking for array size = 6:
0. CWP (min N): elapsed time t=1.002 s, 262144 iters, t-(init.)=0.942 s
    t(norm)=0.231689, mflops=21.5806
1. CWP (best N) (N=15): elapsed time t=1.773 s, 262144 iters, t-(init.)=1.653 s
    t(norm)=0.406563, mflops=12.2982
2. FFTPACK (f2c): elapsed time t=1.672 s, 524288 iters, t-(init.)=1.542 s
    t(norm)=0.189631, mflops=26.367 (err=2.6e-016)

FFTW_MEASURE plan: (cost = 1.754761e-006)
FFTW_NOTW 6

3. FFTW: elapsed time t=1.963 s, 1048576 iters, t-(init.)=1.712 s
    t(norm)=0.105268, mflops=47.4976 (err=1.6e-016)

FFTW_ESTIMATE plan: (cost = 4.116000e+002)
FFTW_NOTW 6

4. FFTW_ESTIMATE: elapsed time t=1.963 s, 1048576 iters, t-(init.)=1.702 s
    t(norm)=0.104654, mflops=47.7767 (err=1.6e-016)
5. Frigo-old: elapsed time t=2.003 s, 524288 iters, t-(init.)=1.872 s
    t(norm)=0.230213, mflops=21.719 (err=5.2e-016)
6. GSL: elapsed time t=1.112 s, 524288 iters, t-(init.)=0.992 s
    t(norm)=0.121993, mflops=40.9858 (err=1.4e-016)
7. NAPACK (f2c): elapsed time t=1.082 s, 131072 iters, t-(init.)=1.052 s
    t(norm)=0.517488, mflops=9.66206 (err=8.3e-016)
8. Singleton (f2c): elapsed time t=1.222 s, 262144 iters, t-(init.)=1.152 s
    t(norm)=0.283339, mflops=17.6467 (err=1.7e-016)
9. Temperton (f2c): elapsed time t=1.412 s, 262144 iters, t-(init.)=1.352 s
    t(norm)=0.33253, mflops=15.0362 (err=1.6e-016)
10. Valkenburg: elapsed time t=1.191 s, 131072 iters, t-(init.)=1.161 s
    t(norm)=0.571106, mflops=8.75494 (err=4.7e-016)

Top mflops for N=6 = 47.7767
Normalized results and averages for N=6:
  fft 0: mflops = 21.5806 (norm. = 0.451699), norm. avg. (of 1) = 0.451699
  fft 1: mflops = 12.2982 (norm. = 0.257411), norm. avg. (of 1) = 0.257411
  fft 2: mflops = 26.367 (norm. = 0.551881), norm. avg. (of 1) = 0.551881
  fft 3: mflops = 47.4976 (norm. = 0.994159), norm. avg. (of 1) = 0.994159
  fft 4: mflops = 47.7767 (norm. = 1), norm. avg. (of 1) = 1
  fft 5: mflops = 21.719 (norm. = 0.454594), norm. avg. (of 1) = 0.454594
  fft 6: mflops = 40.9858 (norm. = 0.857863), norm. avg. (of 1) = 0.857863
  fft 7: mflops = 9.66206 (norm. = 0.202234), norm. avg. (of 1) = 0.202234
  fft 8: mflops = 17.6467 (norm. = 0.369358), norm. avg. (of 1) = 0.369358
  fft 9: mflops = 15.0362 (norm. = 0.314719), norm. avg. (of 1) = 0.314719
  fft 10: mflops = 8.75494 (norm. = 0.183247), norm. avg. (of 1) = 0.183247

Benchmarking for array size = 9:
0. CWP (min N): elapsed time t=1.091 s, 262144 iters, t-(init.)=1.01 s
    t(norm)=0.135049, mflops=37.0237
1. CWP (best N) (N=15): elapsed time t=1.773 s, 262144 iters, t-(init.)=1.663 s
    t(norm)=0.222362, mflops=22.4858
2. FFTPACK (f2c): elapsed time t=1.261 s, 262144 iters, t-(init.)=1.17 s
    t(norm)=0.156442, mflops=31.9606 (err=2.3e-016)

FFTW_MEASURE plan: (cost = 3.356934e-006)
FFTW_TWIDDLE 3
FFTW_NOTW 3

3. FFTW: elapsed time t=1.792 s, 524288 iters, t-(init.)=1.632 s
    t(norm)=0.109109, mflops=45.8259 (err=1.1e-016)

FFTW_ESTIMATE plan: (cost = 4.851000e+002)
FFTW_NOTW 9

4. FFTW_ESTIMATE: elapsed time t=1.963 s, 524288 iters, t-(init.)=1.793 s
    t(norm)=0.119872, mflops=41.7111 (err=1.5e-016)
5. Frigo-old: elapsed time t=1.051 s, 131072 iters, t-(init.)=1.011 s
    t(norm)=0.270365, mflops=18.4935 (err=5.5e-016)
6. GSL: elapsed time t=1.923 s, 524288 iters, t-(init.)=1.763 s
    t(norm)=0.117867, mflops=42.4208 (err=1.1e-016)
7. NAPACK (f2c): elapsed time t=1.652 s, 131072 iters, t-(init.)=1.622 s
    t(norm)=0.43376, mflops=11.5271 (err=7.6e-016)
8. Singleton (f2c): elapsed time t=1.322 s, 262144 iters, t-(init.)=1.232 s
    t(norm)=0.164732, mflops=30.3522 (err=9.3e-017)
9. Temperton (f2c): elapsed time t=1.372 s, 262144 iters, t-(init.)=1.282 s
    t(norm)=0.171418, mflops=29.1685 (err=1.1e-016)
10. Valkenburg: elapsed time t=1.061 s, 65536 iters, t-(init.)=1.041 s
    t(norm)=0.556774, mflops=8.9803 (err=4.5e-016)

Top mflops for N=9 = 45.8259
Normalized results and averages for N=9:
  fft 0: mflops = 37.0237 (norm. = 0.807921), norm. avg. (of 2) = 0.62981
  fft 1: mflops = 22.4858 (norm. = 0.490679), norm. avg. (of 2) = 0.374045
  fft 2: mflops = 31.9606 (norm. = 0.697436), norm. avg. (of 2) = 0.624658
  fft 3: mflops = 45.8259 (norm. = 1), norm. avg. (of 2) = 0.997079
  fft 4: mflops = 41.7111 (norm. = 0.910206), norm. avg. (of 2) = 0.955103
  fft 5: mflops = 18.4935 (norm. = 0.403561), norm. avg. (of 2) = 0.429077
  fft 6: mflops = 42.4208 (norm. = 0.925695), norm. avg. (of 2) = 0.891779
  fft 7: mflops = 11.5271 (norm. = 0.251541), norm. avg. (of 2) = 0.226888
  fft 8: mflops = 30.3522 (norm. = 0.662338), norm. avg. (of 2) = 0.515848
  fft 9: mflops = 29.1685 (norm. = 0.636505), norm. avg. (of 2) = 0.475612
  fft 10: mflops = 8.9803 (norm. = 0.195965), norm. avg. (of 2) = 0.189606

Benchmarking for array size = 12:
0. CWP (min N): elapsed time t=1.442 s, 262144 iters, t-(init.)=1.342 s
    t(norm)=0.119, mflops=42.0168
1. CWP (best N) (N=15): elapsed time t=1.772 s, 262144 iters, t-(init.)=1.651 s
    t(norm)=0.1464, mflops=34.153
2. FFTPACK (f2c): elapsed time t=1.612 s, 262144 iters, t-(init.)=1.512 s
    t(norm)=0.134074, mflops=37.2927 (err=2.3e-016)

FFTW_MEASURE plan: (cost = 3.982544e-006)
FFTW_TWIDDLE 6
FFTW_NOTW 2

3. FFTW: elapsed time t=1.022 s, 262144 iters, t-(init.)=0.922 s
    t(norm)=0.081757, mflops=61.1568 (err=1.7e-016)

FFTW_ESTIMATE plan: (cost = 4.920000e+002)
FFTW_NOTW 12

4. FFTW_ESTIMATE: elapsed time t=1.131 s, 262144 iters, t-(init.)=1.031 s
    t(norm)=0.0914225, mflops=54.6912 (err=2.0e-016)
5. Frigo-old: elapsed time t=1.893 s, 262144 iters, t-(init.)=1.793 s
    t(norm)=0.158992, mflops=31.4482 (err=3.3e-016)
6. GSL: elapsed time t=1.002 s, 262144 iters, t-(init.)=0.912 s
    t(norm)=0.0808703, mflops=61.8274 (err=2.0e-016)
7. NAPACK (f2c): elapsed time t=1.191 s, 65536 iters, t-(init.)=1.171 s
    t(norm)=0.415347, mflops=12.0381 (err=9.5e-016)
8. Singleton (f2c): elapsed time t=1.762 s, 262144 iters, t-(init.)=1.661 s
    t(norm)=0.147287, mflops=33.9474 (err=2.1e-016)
9. Temperton (f2c): elapsed time t=1.813 s, 262144 iters, t-(init.)=1.713 s
    t(norm)=0.151898, mflops=32.9169 (err=1.6e-016)
10. Valkenburg: elapsed time t=1.633 s, 65536 iters, t-(init.)=1.613 s
    t(norm)=0.572122, mflops=8.7394 (err=4.7e-016)

Top mflops for N=12 = 61.8274
Normalized results and averages for N=12:
  fft 0: mflops = 42.0168 (norm. = 0.679583), norm. avg. (of 3) = 0.646401
  fft 1: mflops = 34.153 (norm. = 0.552392), norm. avg. (of 3) = 0.433494
  fft 2: mflops = 37.2927 (norm. = 0.603175), norm. avg. (of 3) = 0.617497
  fft 3: mflops = 61.1568 (norm. = 0.989154), norm. avg. (of 3) = 0.994438
  fft 4: mflops = 54.6912 (norm. = 0.884578), norm. avg. (of 3) = 0.931595
  fft 5: mflops = 31.4482 (norm. = 0.508645), norm. avg. (of 3) = 0.4556
  fft 6: mflops = 61.8274 (norm. = 1), norm. avg. (of 3) = 0.927853
  fft 7: mflops = 12.0381 (norm. = 0.194705), norm. avg. (of 3) = 0.21616
  fft 8: mflops = 33.9474 (norm. = 0.549067), norm. avg. (of 3) = 0.526921
  fft 9: mflops = 32.9169 (norm. = 0.532399), norm. avg. (of 3) = 0.494541
  fft 10: mflops = 8.7394 (norm. = 0.141352), norm. avg. (of 3) = 0.173521

Benchmarking for array size = 15:
0. CWP (min N): elapsed time t=1.773 s, 262144 iters, t-(init.)=1.653 s
    t(norm)=0.1076, mflops=46.4686
1. CWP (best N): elapsed time t=1.773 s, 262144 iters, t-(init.)=1.653 s
    t(norm)=0.1076, mflops=46.4686
2. FFTPACK (f2c): elapsed time t=1.071 s, 131072 iters, t-(init.)=1.011 s
    t(norm)=0.131619, mflops=37.9884 (err=3.5e-016)

FFTW_MEASURE plan: (cost = 5.798340e-006)
FFTW_TWIDDLE 5
FFTW_NOTW 3

3. FFTW: elapsed time t=1.572 s, 262144 iters, t-(init.)=1.452 s
    t(norm)=0.0945158, mflops=52.9012 (err=1.9e-016)

FFTW_ESTIMATE plan: (cost = 4.485000e+002)
FFTW_NOTW 15

4. FFTW_ESTIMATE: elapsed time t=1.673 s, 262144 iters, t-(init.)=1.553 s
    t(norm)=0.10109, mflops=49.4608 (err=2.0e-016)
5. Frigo-old: elapsed time t=1.923 s, 131072 iters, t-(init.)=1.863 s
    t(norm)=0.242538, mflops=20.6153 (err=3.8e-016)
6. GSL: elapsed time t=1.642 s, 262144 iters, t-(init.)=1.531 s
    t(norm)=0.0996581, mflops=50.1715 (err=2.0e-016)
7. NAPACK (f2c): elapsed time t=1.102 s, 32768 iters, t-(init.)=1.092 s
    t(norm)=0.568657, mflops=8.79265 (err=1.5e-015)
8. Singleton (f2c): elapsed time t=1.162 s, 131072 iters, t-(init.)=1.102 s
    t(norm)=0.143466, mflops=34.8514 (err=2.4e-016)
9. Temperton (f2c): elapsed time t=1.141 s, 131072 iters, t-(init.)=1.08 s
    t(norm)=0.140602, mflops=35.5614 (err=2.2e-016)
10. Valkenburg: elapsed time t=1.192 s, 32768 iters, t-(init.)=1.172 s
    t(norm)=0.610317, mflops=8.19247 (err=4.0e-016)

Top mflops for N=15 = 52.9012
Normalized results and averages for N=15:
  fft 0: mflops = 46.4686 (norm. = 0.878403), norm. avg. (of 4) = 0.704401
  fft 1: mflops = 46.4686 (norm. = 0.878403), norm. avg. (of 4) = 0.544721
  fft 2: mflops = 37.9884 (norm. = 0.718101), norm. avg. (of 4) = 0.642648
  fft 3: mflops = 52.9012 (norm. = 1), norm. avg. (of 4) = 0.995828
  fft 4: mflops = 49.4608 (norm. = 0.934965), norm. avg. (of 4) = 0.932437
  fft 5: mflops = 20.6153 (norm. = 0.389694), norm. avg. (of 4) = 0.439123
  fft 6: mflops = 50.1715 (norm. = 0.9484), norm. avg. (of 4) = 0.932989
  fft 7: mflops = 8.79265 (norm. = 0.166209), norm. avg. (of 4) = 0.203672
  fft 8: mflops = 34.8514 (norm. = 0.658802), norm. avg. (of 4) = 0.559891
  fft 9: mflops = 35.5614 (norm. = 0.672222), norm. avg. (of 4) = 0.538961
  fft 10: mflops = 8.19247 (norm. = 0.154863), norm. avg. (of 4) = 0.168857

Benchmarking for array size = 18:
0. CWP (min N): elapsed time t=1.131 s, 131072 iters, t-(init.)=1.061 s
    t(norm)=0.107846, mflops=46.3623
1. CWP (best N) (N=28): elapsed time t=1.493 s, 131072 iters, t-(init.)=1.393 s
    t(norm)=0.141593, mflops=35.3126
2. FFTPACK (f2c): elapsed time t=1.693 s, 131072 iters, t-(init.)=1.623 s
    t(norm)=0.164971, mflops=30.3083 (err=2.6e-016)

FFTW_MEASURE plan: (cost = 6.408691e-006)
FFTW_TWIDDLE 9
FFTW_NOTW 2

3. FFTW: elapsed time t=1.672 s, 262144 iters, t-(init.)=1.532 s
    t(norm)=0.0778607, mflops=64.2173 (err=2.1e-016)

FFTW_ESTIMATE plan: (cost = 1.168200e+003)
FFTW_TWIDDLE 2
FFTW_NOTW 9

4. FFTW_ESTIMATE: elapsed time t=1.112 s, 131072 iters, t-(init.)=1.042 s
    t(norm)=0.105915, mflops=47.2077 (err=1.8e-016)
5. Frigo-old: elapsed time t=1.172 s, 65536 iters, t-(init.)=1.132 s
    t(norm)=0.230126, mflops=21.7272 (err=4.0e-016)
6. GSL: elapsed time t=1.512 s, 262144 iters, t-(init.)=1.391 s
    t(norm)=0.0706946, mflops=70.7267 (err=2.3e-016)
7. NAPACK (f2c): elapsed time t=1.843 s, 65536 iters, t-(init.)=1.813 s
    t(norm)=0.368568, mflops=13.566 (err=9.5e-016)
8. Singleton (f2c): elapsed time t=1.201 s, 131072 iters, t-(init.)=1.131 s
    t(norm)=0.114961, mflops=43.4929 (err=2.7e-016)
9. Temperton (f2c): elapsed time t=1.423 s, 131072 iters, t-(init.)=1.353 s
    t(norm)=0.137527, mflops=36.3566 (err=2.1e-016)
10. Valkenburg: elapsed time t=1.362 s, 32768 iters, t-(init.)=1.342 s
    t(norm)=0.545635, mflops=9.16364 (err=5.3e-016)

Top mflops for N=18 = 70.7267
Normalized results and averages for N=18:
  fft 0: mflops = 46.3623 (norm. = 0.655514), norm. avg. (of 5) = 0.694624
  fft 1: mflops = 35.3126 (norm. = 0.499282), norm. avg. (of 5) = 0.535634
  fft 2: mflops = 30.3083 (norm. = 0.428527), norm. avg. (of 5) = 0.599824
  fft 3: mflops = 64.2173 (norm. = 0.907963), norm. avg. (of 5) = 0.978255
  fft 4: mflops = 47.2077 (norm. = 0.667466), norm. avg. (of 5) = 0.879443
  fft 5: mflops = 21.7272 (norm. = 0.3072), norm. avg. (of 5) = 0.412739
  fft 6: mflops = 70.7267 (norm. = 1), norm. avg. (of 5) = 0.946391
  fft 7: mflops = 13.566 (norm. = 0.191809), norm. avg. (of 5) = 0.2013
  fft 8: mflops = 43.4929 (norm. = 0.614943), norm. avg. (of 5) = 0.570901
  fft 9: mflops = 36.3566 (norm. = 0.514043), norm. avg. (of 5) = 0.533978
  fft 10: mflops = 9.16364 (norm. = 0.129564), norm. avg. (of 5) = 0.160998

Benchmarking for array size = 24:
0. CWP (min N): elapsed time t=1.272 s, 131072 iters, t-(init.)=1.192 s
    t(norm)=0.0826455, mflops=60.4993
1. CWP (best N) (N=28): elapsed time t=1.492 s, 131072 iters, t-(init.)=1.392 s
    t(norm)=0.0965122, mflops=51.8069
2. FFTPACK (f2c): elapsed time t=1.102 s, 65536 iters, t-(init.)=1.052 s
    t(norm)=0.145878, mflops=34.2753 (err=2.5e-016)

FFTW_MEASURE plan: (cost = 9.155273e-006)
FFTW_TWIDDLE 8
FFTW_NOTW 3

3. FFTW: elapsed time t=1.242 s, 131072 iters, t-(init.)=1.152 s
    t(norm)=0.0798722, mflops=62.6 (err=1.9e-016)

FFTW_ESTIMATE plan: (cost = 1.248000e+003)
FFTW_TWIDDLE 2
FFTW_NOTW 12

4. FFTW_ESTIMATE: elapsed time t=1.302 s, 131072 iters, t-(init.)=1.222 s
    t(norm)=0.0847255, mflops=59.0141 (err=2.4e-016)
5. Frigo-old: elapsed time t=1.933 s, 131072 iters, t-(init.)=1.843 s
    t(norm)=0.127782, mflops=39.1293 (err=3.7e-016)
6. GSL: elapsed time t=1.743 s, 262144 iters, t-(init.)=1.583 s
    t(norm)=0.0548775, mflops=91.1121 (err=1.5e-016)
7. NAPACK (f2c): elapsed time t=1.242 s, 32768 iters, t-(init.)=1.222 s
    t(norm)=0.338902, mflops=14.7535 (err=8.0e-016)
8. Singleton (f2c): elapsed time t=1.803 s, 131072 iters, t-(init.)=1.713 s
    t(norm)=0.118768, mflops=42.0988 (err=2.5e-016)
9. Temperton (f2c): elapsed time t=1.522 s, 131072 iters, t-(init.)=1.432 s
    t(norm)=0.0992856, mflops=50.3598 (err=2.1e-016)
10. Valkenburg: elapsed time t=1.011 s, 16384 iters, t-(init.)=1.001 s
    t(norm)=0.555223, mflops=9.0054 (err=4.8e-016)

Top mflops for N=24 = 91.1121
Normalized results and averages for N=24:
  fft 0: mflops = 60.4993 (norm. = 0.66401), norm. avg. (of 6) = 0.689521
  fft 1: mflops = 51.8069 (norm. = 0.568606), norm. avg. (of 6) = 0.541129
  fft 2: mflops = 34.2753 (norm. = 0.376188), norm. avg. (of 6) = 0.562551
  fft 3: mflops = 62.6 (norm. = 0.687066), norm. avg. (of 6) = 0.929724
  fft 4: mflops = 59.0141 (norm. = 0.647709), norm. avg. (of 6) = 0.840821
  fft 5: mflops = 39.1293 (norm. = 0.429463), norm. avg. (of 6) = 0.415526
  fft 6: mflops = 91.1121 (norm. = 1), norm. avg. (of 6) = 0.955326
  fft 7: mflops = 14.7535 (norm. = 0.161927), norm. avg. (of 6) = 0.194738
  fft 8: mflops = 42.0988 (norm. = 0.462055), norm. avg. (of 6) = 0.55276
  fft 9: mflops = 50.3598 (norm. = 0.552723), norm. avg. (of 6) = 0.537102
  fft 10: mflops = 9.0054 (norm. = 0.0988387), norm. avg. (of 6) = 0.150638

Benchmarking for array size = 36:
0. CWP (min N): elapsed time t=1.963 s, 131072 iters, t-(init.)=1.833 s
    t(norm)=0.0751391, mflops=66.5433
1. CWP (best N): elapsed time t=1.963 s, 131072 iters, t-(init.)=1.833 s
    t(norm)=0.0751391, mflops=66.5433
2. FFTPACK (f2c): elapsed time t=1.762 s, 65536 iters, t-(init.)=1.702 s
    t(norm)=0.139538, mflops=35.8325 (err=3.9e-016)

FFTW_MEASURE plan: (cost = 1.403809e-005)
FFTW_TWIDDLE 6
FFTW_NOTW 6

3. FFTW: elapsed time t=1.883 s, 131072 iters, t-(init.)=1.763 s
    t(norm)=0.0722696, mflops=69.1854 (err=3.6e-016)

FFTW_ESTIMATE plan: (cost = 1.803600e+003)
FFTW_TWIDDLE 3
FFTW_NOTW 12

4. FFTW_ESTIMATE: elapsed time t=1.032 s, 65536 iters, t-(init.)=0.962 s
    t(norm)=0.0788694, mflops=63.396 (err=3.6e-016)
5. Frigo-old: elapsed time t=1.171 s, 32768 iters, t-(init.)=1.141 s
    t(norm)=0.187089, mflops=26.7252 (err=5.6e-016)
6. GSL: elapsed time t=1.352 s, 131072 iters, t-(init.)=1.242 s
    t(norm)=0.0509126, mflops=98.2076 (err=3.9e-016)
7. NAPACK (f2c): elapsed time t=1.933 s, 32768 iters, t-(init.)=1.913 s
    t(norm)=0.313674, mflops=15.9401 (err=1.4e-015)
8. Singleton (f2c): elapsed time t=1.032 s, 65536 iters, t-(init.)=0.972 s
    t(norm)=0.0796892, mflops=62.7437 (err=4.7e-016)
9. Temperton (f2c): elapsed time t=1.052 s, 65536 iters, t-(init.)=0.992 s
    t(norm)=0.0813289, mflops=61.4787 (err=3.5e-016)
10. Valkenburg: elapsed time t=1.663 s, 16384 iters, t-(init.)=1.643 s
    t(norm)=0.538804, mflops=9.27981 (err=4.7e-016)

Top mflops for N=36 = 98.2076
Normalized results and averages for N=36:
  fft 0: mflops = 66.5433 (norm. = 0.677578), norm. avg. (of 7) = 0.687815
  fft 1: mflops = 66.5433 (norm. = 0.677578), norm. avg. (of 7) = 0.560622
  fft 2: mflops = 35.8325 (norm. = 0.364865), norm. avg. (of 7) = 0.53431
  fft 3: mflops = 69.1854 (norm. = 0.704481), norm. avg. (of 7) = 0.897546
  fft 4: mflops = 63.396 (norm. = 0.64553), norm. avg. (of 7) = 0.812922
  fft 5: mflops = 26.7252 (norm. = 0.27213), norm. avg. (of 7) = 0.395041
  fft 6: mflops = 98.2076 (norm. = 1), norm. avg. (of 7) = 0.961708
  fft 7: mflops = 15.9401 (norm. = 0.162311), norm. avg. (of 7) = 0.190105
  fft 8: mflops = 62.7437 (norm. = 0.638889), norm. avg. (of 7) = 0.565064
  fft 9: mflops = 61.4787 (norm. = 0.626008), norm. avg. (of 7) = 0.549803
  fft 10: mflops = 9.27981 (norm. = 0.0944918), norm. avg. (of 7) = 0.142617

Benchmarking for array size = 80:
0. CWP (min N): elapsed time t=2.003 s, 65536 iters, t-(init.)=1.873 s
    t(norm)=0.0565091, mflops=88.4813
1. CWP (best N) (N=84): elapsed time t=1.231 s, 32768 iters, t-(init.)=1.161 s
    t(norm)=0.0700556, mflops=71.3719
2. FFTPACK (f2c): elapsed time t=1.903 s, 32768 iters, t-(init.)=1.843 s
    t(norm)=0.111208, mflops=44.9608 (err=3.9e-016)

FFTW_MEASURE plan: (cost = 3.417969e-005)
FFTW_TWIDDLE 5
FFTW_TWIDDLE 8
FFTW_NOTW 2

3. FFTW: elapsed time t=1.172 s, 32768 iters, t-(init.)=1.102 s
    t(norm)=0.0664955, mflops=75.1931 (err=3.8e-016)

FFTW_ESTIMATE plan: (cost = 2.600000e+003)
FFTW_TWIDDLE 5
FFTW_NOTW 16

4. FFTW_ESTIMATE: elapsed time t=1.392 s, 32768 iters, t-(init.)=1.322 s
    t(norm)=0.0797704, mflops=62.6799 (err=3.6e-016)
5. Frigo-old: elapsed time t=1.872 s, 32768 iters, t-(init.)=1.801 s
    t(norm)=0.108674, mflops=46.0093 (err=4.2e-016)
6. GSL: elapsed time t=1.001 s, 32768 iters, t-(init.)=0.951 s
    t(norm)=0.057384, mflops=87.1323 (err=3.4e-016)
7. NAPACK (f2c): elapsed time t=1.753 s, 8192 iters, t-(init.)=1.743 s
    t(norm)=0.420696, mflops=11.8851 (err=5.2e-016)
8. Singleton (f2c): elapsed time t=1.001 s, 32768 iters, t-(init.)=0.94 s
    t(norm)=0.0567203, mflops=88.1519 (err=4.7e-016)
9. Temperton (f2c): elapsed time t=1.532 s, 32768 iters, t-(init.)=1.472 s
    t(norm)=0.0888215, mflops=56.2926 (err=4.1e-016)
10. Valkenburg: elapsed time t=1.181 s, 4096 iters, t-(init.)=1.171 s
    t(norm)=0.565272, mflops=8.8453 (err=4.9e-016)

Top mflops for N=80 = 88.4813
Normalized results and averages for N=80:
  fft 0: mflops = 88.4813 (norm. = 1), norm. avg. (of 8) = 0.726838
  fft 1: mflops = 71.3719 (norm. = 0.806632), norm. avg. (of 8) = 0.591373
  fft 2: mflops = 44.9608 (norm. = 0.508139), norm. avg. (of 8) = 0.531039
  fft 3: mflops = 75.1931 (norm. = 0.849819), norm. avg. (of 8) = 0.89158
  fft 4: mflops = 62.6799 (norm. = 0.708396), norm. avg. (of 8) = 0.799856
  fft 5: mflops = 46.0093 (norm. = 0.519989), norm. avg. (of 8) = 0.410659
  fft 6: mflops = 87.1323 (norm. = 0.984753), norm. avg. (of 8) = 0.964589
  fft 7: mflops = 11.8851 (norm. = 0.134323), norm. avg. (of 8) = 0.183132
  fft 8: mflops = 88.1519 (norm. = 0.996277), norm. avg. (of 8) = 0.618966
  fft 9: mflops = 56.2926 (norm. = 0.636209), norm. avg. (of 8) = 0.560604
  fft 10: mflops = 8.8453 (norm. = 0.099968), norm. avg. (of 8) = 0.137286

Benchmarking for array size = 108:
0. CWP (min N) (N=110): elapsed time t=1.833 s, 32768 iters, t-(init.)=1.743 s
    t(norm)=0.0729131, mflops=68.5748
1. CWP (best N) (N=112): elapsed time t=1.482 s, 32768 iters, t-(init.)=1.402 s
    t(norm)=0.0586484, mflops=85.2538
2. FFTPACK (f2c): elapsed time t=1.652 s, 16384 iters, t-(init.)=1.602 s
    t(norm)=0.13403, mflops=37.3052 (err=4.5e-016)

FFTW_MEASURE plan: (cost = 5.126953e-005)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 6
FFTW_NOTW 2

3. FFTW: elapsed time t=1.743 s, 32768 iters, t-(init.)=1.663 s
    t(norm)=0.0695665, mflops=71.8736 (err=3.1e-016)

FFTW_ESTIMATE plan: (cost = 4.633200e+003)
FFTW_TWIDDLE 9
FFTW_NOTW 12

4. FFTW_ESTIMATE: elapsed time t=1.812 s, 32768 iters, t-(init.)=1.732 s
    t(norm)=0.072453, mflops=69.0103 (err=3.2e-016)
5. Frigo-old: elapsed time t=1.222 s, 8192 iters, t-(init.)=1.202 s
    t(norm)=0.201128, mflops=24.8598 (err=5.4e-016)
6. GSL: elapsed time t=1.221 s, 32768 iters, t-(init.)=1.151 s
    t(norm)=0.0481486, mflops=103.845 (err=3.0e-016)
7. NAPACK (f2c): elapsed time t=1.692 s, 8192 iters, t-(init.)=1.672 s
    t(norm)=0.279772, mflops=17.8717 (err=3.1e-015)
8. Singleton (f2c): elapsed time t=1.742 s, 32768 iters, t-(init.)=1.652 s
    t(norm)=0.0691064, mflops=72.3522 (err=3.8e-016)
9. Temperton (f2c): elapsed time t=1.732 s, 32768 iters, t-(init.)=1.641 s
    t(norm)=0.0686462, mflops=72.8372 (err=3.5e-016)
10. Valkenburg: elapsed time t=1.582 s, 4096 iters, t-(init.)=1.572 s
    t(norm)=0.526079, mflops=9.50428 (err=5.5e-016)

Top mflops for N=108 = 103.845
Normalized results and averages for N=108:
  fft 0: mflops = 68.5748 (norm. = 0.660356), norm. avg. (of 9) = 0.719451
  fft 1: mflops = 85.2538 (norm. = 0.82097), norm. avg. (of 9) = 0.616884
  fft 2: mflops = 37.3052 (norm. = 0.359238), norm. avg. (of 9) = 0.51195
  fft 3: mflops = 71.8736 (norm. = 0.692123), norm. avg. (of 9) = 0.869418
  fft 4: mflops = 69.0103 (norm. = 0.66455), norm. avg. (of 9) = 0.784822
  fft 5: mflops = 24.8598 (norm. = 0.239393), norm. avg. (of 9) = 0.39163
  fft 6: mflops = 103.845 (norm. = 1), norm. avg. (of 9) = 0.968523
  fft 7: mflops = 17.8717 (norm. = 0.172099), norm. avg. (of 9) = 0.181906
  fft 8: mflops = 72.3522 (norm. = 0.696731), norm. avg. (of 9) = 0.627606
  fft 9: mflops = 72.8372 (norm. = 0.701402), norm. avg. (of 9) = 0.576248
  fft 10: mflops = 9.50428 (norm. = 0.0915235), norm. avg. (of 9) = 0.132202

Benchmarking for array size = 210:
0. CWP (min N): elapsed time t=1.883 s, 16384 iters, t-(init.)=1.803 s
    t(norm)=0.0679302, mflops=73.6049
1. CWP (best N): elapsed time t=1.883 s, 16384 iters, t-(init.)=1.803 s
    t(norm)=0.0679302, mflops=73.6049
2. FFTPACK (f2c): elapsed time t=1.342 s, 4096 iters, t-(init.)=1.322 s
    t(norm)=0.199232, mflops=25.0964 (err=5.4e-016)

FFTW_MEASURE plan: (cost = 1.171875e-004)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 7
FFTW_NOTW 3

3. FFTW: elapsed time t=1.963 s, 16384 iters, t-(init.)=1.873 s
    t(norm)=0.0705676, mflops=70.8541 (err=4.3e-016)

FFTW_ESTIMATE plan: (cost = 9.324000e+003)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 15

4. FFTW_ESTIMATE: elapsed time t=1.071 s, 8192 iters, t-(init.)=1.031 s
    t(norm)=0.0776884, mflops=64.3597 (err=4.2e-016)
5. Frigo-old: elapsed time t=1.463 s, 4096 iters, t-(init.)=1.443 s
    t(norm)=0.217467, mflops=22.992 (err=5.2e-016)
6. GSL: elapsed time t=1.472 s, 16384 iters, t-(init.)=1.402 s
    t(norm)=0.0528221, mflops=94.6574 (err=5.3e-016)
7. NAPACK (f2c): elapsed time t=1.763 s, 2048 iters, t-(init.)=1.753 s
    t(norm)=0.528371, mflops=9.46304 (err=1.3e-014)
8. Singleton (f2c): elapsed time t=1.111 s, 8192 iters, t-(init.)=1.061 s
    t(norm)=0.0799489, mflops=62.5399 (err=5.6e-016)
9. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
10. Valkenburg: elapsed time t=1.081 s, 1024 iters, t-(init.)=1.081 s
    t(norm)=0.651648, mflops=7.67286 (err=5.8e-016)

Top mflops for N=210 = 94.6574
Normalized results and averages for N=210:
  fft 0: mflops = 73.6049 (norm. = 0.777593), norm. avg. (of 10) = 0.725266
  fft 1: mflops = 73.6049 (norm. = 0.777593), norm. avg. (of 10) = 0.632955
  fft 2: mflops = 25.0964 (norm. = 0.265129), norm. avg. (of 10) = 0.487268
  fft 3: mflops = 70.8541 (norm. = 0.748532), norm. avg. (of 10) = 0.85733
  fft 4: mflops = 64.3597 (norm. = 0.679922), norm. avg. (of 10) = 0.774332
  fft 5: mflops = 22.992 (norm. = 0.242897), norm. avg. (of 10) = 0.376756
  fft 6: mflops = 94.6574 (norm. = 1), norm. avg. (of 10) = 0.971671
  fft 7: mflops = 9.46304 (norm. = 0.0999715), norm. avg. (of 10) = 0.173713
  fft 8: mflops = 62.5399 (norm. = 0.660697), norm. avg. (of 10) = 0.630916
  fft 9: mflops = -1 (norm. = -0.0105644), norm. avg. (of 9) = 0.576248
  fft 10: mflops = 7.67286 (norm. = 0.0810592), norm. avg. (of 10) = 0.127087

Benchmarking for array size = 504:
0. CWP (min N): elapsed time t=1.112 s, 4096 iters, t-(init.)=1.072 s
    t(norm)=0.0578442, mflops=86.4391
1. CWP (best N): elapsed time t=1.112 s, 4096 iters, t-(init.)=1.062 s
    t(norm)=0.0573046, mflops=87.2531
2. FFTPACK (f2c): elapsed time t=1.862 s, 2048 iters, t-(init.)=1.842 s
    t(norm)=0.198785, mflops=25.1528 (err=1.4e-015)

FFTW_MEASURE plan: (cost = 3.515625e-004)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 4
FFTW_NOTW 2

3. FFTW: elapsed time t=1.492 s, 4096 iters, t-(init.)=1.441 s
    t(norm)=0.0777551, mflops=64.3045 (err=1.3e-015)

FFTW_ESTIMATE plan: (cost = 2.147040e+004)
FFTW_TWIDDLE 6
FFTW_TWIDDLE 6
FFTW_NOTW 14

4. FFTW_ESTIMATE: elapsed time t=1.542 s, 4096 iters, t-(init.)=1.502 s
    t(norm)=0.0810466, mflops=61.6929 (err=1.3e-015)
5. Frigo-old: elapsed time t=1.762 s, 2048 iters, t-(init.)=1.742 s
    t(norm)=0.187994, mflops=26.5967 (err=1.4e-015)
6. GSL: elapsed time t=1.021 s, 4096 iters, t-(init.)=0.981 s
    t(norm)=0.0529339, mflops=94.4575 (err=1.4e-015)
7. NAPACK (f2c): elapsed time t=1.873 s, 1024 iters, t-(init.)=1.863 s
    t(norm)=0.402103, mflops=12.4346 (err=4.1e-014)
8. Singleton (f2c): elapsed time t=1.332 s, 4096 iters, t-(init.)=1.292 s
    t(norm)=0.0697152, mflops=71.7204 (err=1.9e-015)
9. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
10. Valkenburg: elapsed time t=1.402 s, 512 iters, t-(init.)=1.402 s
    t(norm)=0.605205, mflops=8.26166 (err=1.4e-015)

Top mflops for N=504 = 94.4575
Normalized results and averages for N=504:
  fft 0: mflops = 86.4391 (norm. = 0.915112), norm. avg. (of 11) = 0.742524
  fft 1: mflops = 87.2531 (norm. = 0.923729), norm. avg. (of 11) = 0.659389
  fft 2: mflops = 25.1528 (norm. = 0.266287), norm. avg. (of 11) = 0.467179
  fft 3: mflops = 64.3045 (norm. = 0.680777), norm. avg. (of 11) = 0.841279
  fft 4: mflops = 61.6929 (norm. = 0.653129), norm. avg. (of 11) = 0.763314
  fft 5: mflops = 26.5967 (norm. = 0.281573), norm. avg. (of 11) = 0.368103
  fft 6: mflops = 94.4575 (norm. = 1), norm. avg. (of 11) = 0.974246
  fft 7: mflops = 12.4346 (norm. = 0.131643), norm. avg. (of 11) = 0.169888
  fft 8: mflops = 71.7204 (norm. = 0.759288), norm. avg. (of 11) = 0.642586
  fft 9: mflops = -1 (norm. = -0.0105868), norm. avg. (of 9) = 0.576248
  fft 10: mflops = 8.26166 (norm. = 0.0874643), norm. avg. (of 11) = 0.123485

Benchmarking for array size = 1000:
0. CWP (min N) (N=1001): elapsed time t=1.412 s, 2048 iters, t-(init.)=1.362 s
    t(norm)=0.0667322, mflops=74.9263
1. CWP (best N) (N=1008): elapsed time t=1.182 s, 2048 iters, t-(init.)=1.132 s
    t(norm)=0.0554632, mflops=90.1499
2. FFTPACK (f2c): elapsed time t=1.502 s, 1024 iters, t-(init.)=1.482 s
    t(norm)=0.145223, mflops=34.4297 (err=1.0e-015)

FFTW_MEASURE plan: (cost = 7.441406e-004)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 5
FFTW_TWIDDLE 10
FFTW_NOTW 2

3. FFTW: elapsed time t=1.512 s, 2048 iters, t-(init.)=1.462 s
    t(norm)=0.0716318, mflops=69.8014 (err=9.0e-016)

FFTW_ESTIMATE plan: (cost = 5.220000e+004)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_NOTW 10

4. FFTW_ESTIMATE: elapsed time t=1.582 s, 2048 iters, t-(init.)=1.532 s
    t(norm)=0.0750615, mflops=66.612 (err=9.1e-016)
5. Frigo-old: elapsed time t=1.963 s, 1024 iters, t-(init.)=1.933 s
    t(norm)=0.189418, mflops=26.3967 (err=9.3e-016)
6. GSL: elapsed time t=1.482 s, 2048 iters, t-(init.)=1.432 s
    t(norm)=0.0701619, mflops=71.2637 (err=9.1e-016)
7. NAPACK (f2c): elapsed time t=1.332 s, 256 iters, t-(init.)=1.332 s
    t(norm)=0.522099, mflops=9.57673 (err=1.6e-014)
8. Singleton (f2c): elapsed time t=1.211 s, 2048 iters, t-(init.)=1.161 s
    t(norm)=0.0568841, mflops=87.898 (err=1.2e-015)
9. Temperton (f2c): elapsed time t=1.432 s, 2048 iters, t-(init.)=1.381 s
    t(norm)=0.0676632, mflops=73.8955 (err=9.2e-016)
10. Valkenburg: elapsed time t=1.582 s, 256 iters, t-(init.)=1.582 s
    t(norm)=0.62009, mflops=8.06334 (err=1.0e-015)

Top mflops for N=1000 = 90.1499
Normalized results and averages for N=1000:
  fft 0: mflops = 74.9263 (norm. = 0.831131), norm. avg. (of 12) = 0.749908
  fft 1: mflops = 90.1499 (norm. = 1), norm. avg. (of 12) = 0.687773
  fft 2: mflops = 34.4297 (norm. = 0.381916), norm. avg. (of 12) = 0.460073
  fft 3: mflops = 69.8014 (norm. = 0.774282), norm. avg. (of 12) = 0.835696
  fft 4: mflops = 66.612 (norm. = 0.738903), norm. avg. (of 12) = 0.76128
  fft 5: mflops = 26.3967 (norm. = 0.292809), norm. avg. (of 12) = 0.361829
  fft 6: mflops = 71.2637 (norm. = 0.790503), norm. avg. (of 12) = 0.958934
  fft 7: mflops = 9.57673 (norm. = 0.106231), norm. avg. (of 12) = 0.164584
  fft 8: mflops = 87.898 (norm. = 0.975022), norm. avg. (of 12) = 0.670289
  fft 9: mflops = 73.8955 (norm. = 0.819696), norm. avg. (of 10) = 0.600593
  fft 10: mflops = 8.06334 (norm. = 0.0894437), norm. avg. (of 12) = 0.120648

Benchmarking for array size = 1960:
0. CWP (min N) (N=1980): elapsed time t=1.563 s, 1024 iters, t-(init.)=1.443 s
    t(norm)=0.0657395, mflops=76.0578
1. CWP (best N) (N=1980): elapsed time t=1.562 s, 1024 iters, t-(init.)=1.452 s
    t(norm)=0.0661495, mflops=75.5863
2. FFTPACK (f2c): elapsed time t=1.542 s, 256 iters, t-(init.)=1.512 s
    t(norm)=0.275532, mflops=18.1467 (err=2.8e-015)

FFTW_MEASURE plan: (cost = 1.640625e-003)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 7
FFTW_TWIDDLE 7
FFTW_NOTW 4

3. FFTW: elapsed time t=1.722 s, 1024 iters, t-(init.)=1.612 s
    t(norm)=0.0734387, mflops=68.084 (err=2.8e-015)

FFTW_ESTIMATE plan: (cost = 9.662800e+004)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 14

4. FFTW_ESTIMATE: elapsed time t=1.762 s, 1024 iters, t-(init.)=1.641 s
    t(norm)=0.0747599, mflops=66.8808 (err=2.8e-015)
5. Frigo-old: elapsed time t=1.202 s, 256 iters, t-(init.)=1.172 s
    t(norm)=0.213574, mflops=23.4111 (err=2.8e-015)
6. GSL: elapsed time t=1.613 s, 1024 iters, t-(init.)=1.493 s
    t(norm)=0.0680174, mflops=73.5106 (err=2.9e-015)
7. NAPACK (f2c): elapsed time t=1.603 s, 128 iters, t-(init.)=1.583 s
    t(norm)=0.576941, mflops=8.6664 (err=1.3e-013)
8. Singleton (f2c): elapsed time t=1.022 s, 512 iters, t-(init.)=0.962 s
    t(norm)=0.0876527, mflops=57.0433 (err=4.2e-015)
9. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
10. Valkenburg: elapsed time t=1.923 s, 128 iters, t-(init.)=1.913 s
    t(norm)=0.697212, mflops=7.17142 (err=2.7e-015)

Top mflops for N=1960 = 76.0578
Normalized results and averages for N=1960:
  fft 0: mflops = 76.0578 (norm. = 1), norm. avg. (of 13) = 0.769146
  fft 1: mflops = 75.5863 (norm. = 0.993802), norm. avg. (of 13) = 0.711314
  fft 2: mflops = 18.1467 (norm. = 0.238591), norm. avg. (of 13) = 0.443036
  fft 3: mflops = 68.084 (norm. = 0.895161), norm. avg. (of 13) = 0.840271
  fft 4: mflops = 66.8808 (norm. = 0.879342), norm. avg. (of 13) = 0.770361
  fft 5: mflops = 23.4111 (norm. = 0.307807), norm. avg. (of 13) = 0.357673
  fft 6: mflops = 73.5106 (norm. = 0.96651), norm. avg. (of 13) = 0.959517
  fft 7: mflops = 8.6664 (norm. = 0.113945), norm. avg. (of 13) = 0.160688
  fft 8: mflops = 57.0433 (norm. = 0.75), norm. avg. (of 13) = 0.67642
  fft 9: mflops = -1 (norm. = -0.0131479), norm. avg. (of 10) = 0.600593
  fft 10: mflops = 7.17142 (norm. = 0.0942891), norm. avg. (of 13) = 0.118621

Benchmarking for array size = 4725:
0. CWP (min N) (N=5005): elapsed time t=1.172 s, 256 iters, t-(init.)=1.092 s
    t(norm)=0.0739612, mflops=67.603
1. CWP (best N) (N=5040): elapsed time t=1.032 s, 256 iters, t-(init.)=0.962 s
    t(norm)=0.0651563, mflops=76.7385
2. FFTPACK (f2c): elapsed time t=1.532 s, 128 iters, t-(init.)=1.492 s
    t(norm)=0.202106, mflops=24.7394 (err=1.9e-015)

FFTW_MEASURE plan: (cost = 4.859375e-003)
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_TWIDDLE 9
FFTW_NOTW 3

3. FFTW: elapsed time t=1.242 s, 256 iters, t-(init.)=1.182 s
    t(norm)=0.0800569, mflops=62.4556 (err=1.8e-015)

FFTW_ESTIMATE plan: (cost = 1.946700e+005)
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_TWIDDLE 9
FFTW_NOTW 15

4. FFTW_ESTIMATE: elapsed time t=1.192 s, 256 iters, t-(init.)=1.122 s
    t(norm)=0.0759931, mflops=65.7954 (err=1.9e-015)
5. Frigo-old: elapsed time t=1.973 s, 128 iters, t-(init.)=1.943 s
    t(norm)=0.263199, mflops=18.997 (err=2.0e-015)
6. GSL: elapsed time t=1.923 s, 512 iters, t-(init.)=1.783 s
    t(norm)=0.0603813, mflops=82.807 (err=1.9e-015)
7. NAPACK (f2c): elapsed time t=1.912 s, 64 iters, t-(init.)=1.902 s
    t(norm)=0.51529, mflops=9.70327 (err=3.6e-013)
8. Singleton (f2c): elapsed time t=1.432 s, 256 iters, t-(init.)=1.361 s
    t(norm)=0.0921806, mflops=54.2414 (err=2.5e-015)
9. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
10. Valkenburg: elapsed time t=1.202 s, 32 iters, t-(init.)=1.192 s
    t(norm)=0.645874, mflops=7.74145 (err=1.8e-015)

Top mflops for N=4725 = 82.807
Normalized results and averages for N=4725:
  fft 0: mflops = 67.603 (norm. = 0.816392), norm. avg. (of 14) = 0.772521
  fft 1: mflops = 76.7385 (norm. = 0.926715), norm. avg. (of 14) = 0.726699
  fft 2: mflops = 24.7394 (norm. = 0.29876), norm. avg. (of 14) = 0.432731
  fft 3: mflops = 62.4556 (norm. = 0.75423), norm. avg. (of 14) = 0.834125
  fft 4: mflops = 65.7954 (norm. = 0.794563), norm. avg. (of 14) = 0.77209
  fft 5: mflops = 18.997 (norm. = 0.229413), norm. avg. (of 14) = 0.348512
  fft 6: mflops = 82.807 (norm. = 1), norm. avg. (of 14) = 0.962409
  fft 7: mflops = 9.70327 (norm. = 0.117179), norm. avg. (of 14) = 0.157581
  fft 8: mflops = 54.2414 (norm. = 0.655033), norm. avg. (of 14) = 0.674893
  fft 9: mflops = -1 (norm. = -0.0120763), norm. avg. (of 10) = 0.600593
  fft 10: mflops = 7.74145 (norm. = 0.0934878), norm. avg. (of 14) = 0.116826

Benchmarking for array size = 10368:
0. CWP (min N) (N=10920): elapsed time t=1.382 s, 128 iters, t-(init.)=1.302 s
    t(norm)=0.0735453, mflops=67.9853
1. CWP (best N) (N=11088): elapsed time t=1.272 s, 128 iters, t-(init.)=1.192 s
    t(norm)=0.0673318, mflops=74.2591
2. FFTPACK (f2c): elapsed time t=1.402 s, 64 iters, t-(init.)=1.372 s
    t(norm)=0.154999, mflops=32.2583 (err=3.1e-015)

FFTW_MEASURE plan: (cost = 1.065625e-002)
FFTW_TWIDDLE 3
FFTW_TWIDDLE 8
FFTW_TWIDDLE 9
FFTW_TWIDDLE 8
FFTW_NOTW 6

3. FFTW: elapsed time t=1.422 s, 128 iters, t-(init.)=1.352 s
    t(norm)=0.0763696, mflops=65.471 (err=3.1e-015)

FFTW_ESTIMATE plan: (cost = 1.254528e+005)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 6
FFTW_TWIDDLE 6
FFTW_NOTW 32

4. FFTW_ESTIMATE: elapsed time t=1.553 s, 128 iters, t-(init.)=1.483 s
    t(norm)=0.0837694, mflops=59.6877 (err=3.1e-015)
5. Frigo-old: elapsed time t=1.592 s, 64 iters, t-(init.)=1.552 s
    t(norm)=0.175334, mflops=28.517 (err=3.2e-015)
6. GSL: elapsed time t=1.092 s, 128 iters, t-(init.)=1.022 s
    t(norm)=0.0577291, mflops=86.6114 (err=3.0e-015)
7. NAPACK (f2c): elapsed time t=1.291 s, 32 iters, t-(init.)=1.271 s
    t(norm)=0.287177, mflops=17.4109 (err=8.2e-014)
8. Singleton (f2c): elapsed time t=1.753 s, 128 iters, t-(init.)=1.683 s
    t(norm)=0.0950667, mflops=52.5947 (err=4.4e-015)
9. Temperton (f2c): elapsed time t=1.602 s, 128 iters, t-(init.)=1.522 s
    t(norm)=0.0859723, mflops=58.1582 (err=3.0e-015)
10. Valkenburg: elapsed time t=1.282 s, 16 iters, t-(init.)=1.272 s
    t(norm)=0.574806, mflops=8.69859 (err=3.0e-015)

Top mflops for N=10368 = 86.6114
Normalized results and averages for N=10368:
  fft 0: mflops = 67.9853 (norm. = 0.784946), norm. avg. (of 15) = 0.773349
  fft 1: mflops = 74.2591 (norm. = 0.857383), norm. avg. (of 15) = 0.735412
  fft 2: mflops = 32.2583 (norm. = 0.372449), norm. avg. (of 15) = 0.428712
  fft 3: mflops = 65.471 (norm. = 0.755917), norm. avg. (of 15) = 0.828911
  fft 4: mflops = 59.6877 (norm. = 0.689144), norm. avg. (of 15) = 0.76656
  fft 5: mflops = 28.517 (norm. = 0.329253), norm. avg. (of 15) = 0.347228
  fft 6: mflops = 86.6114 (norm. = 1), norm. avg. (of 15) = 0.964915
  fft 7: mflops = 17.4109 (norm. = 0.201023), norm. avg. (of 15) = 0.160477
  fft 8: mflops = 52.5947 (norm. = 0.607249), norm. avg. (of 15) = 0.670383
  fft 9: mflops = 58.1582 (norm. = 0.671485), norm. avg. (of 11) = 0.607037
  fft 10: mflops = 8.69859 (norm. = 0.100432), norm. avg. (of 15) = 0.115733

Benchmarking for array size = 27000:
0. CWP (min N) (N=27720): elapsed time t=1.853 s, 64 iters, t-(init.)=1.743 s
    t(norm)=0.0685214, mflops=72.9699
1. CWP (best N) (N=27720): elapsed time t=1.862 s, 64 iters, t-(init.)=1.752 s
    t(norm)=0.0688752, mflops=72.5951
2. FFTPACK (f2c): elapsed time t=1.362 s, 16 iters, t-(init.)=1.332 s
    t(norm)=0.209456, mflops=23.8714 (err=5.6e-015)

FFTW_MEASURE plan: (cost = 4.000000e-002)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_NOTW 3

3. FFTW: elapsed time t=1.302 s, 32 iters, t-(init.)=1.252 s
    t(norm)=0.098438, mflops=50.7934 (err=5.6e-015)

FFTW_ESTIMATE plan: (cost = 1.231200e+006)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_TWIDDLE 2
FFTW_TWIDDLE 9
FFTW_NOTW 15

4. FFTW_ESTIMATE: elapsed time t=1.312 s, 32 iters, t-(init.)=1.262 s
    t(norm)=0.0992243, mflops=50.3909 (err=5.7e-015)
5. Frigo-old: elapsed time t=1.812 s, 16 iters, t-(init.)=1.792 s
    t(norm)=0.281791, mflops=17.7437 (err=5.8e-015)
6. GSL: elapsed time t=1.532 s, 32 iters, t-(init.)=1.482 s
    t(norm)=0.116522, mflops=42.9105 (err=5.6e-015)
7. NAPACK (f2c): elapsed time t=1.883 s, 8 iters, t-(init.)=1.873 s
    t(norm)=0.589056, mflops=8.48816 (err=1.1e-012)
8. Singleton (f2c): elapsed time t=1.292 s, 32 iters, t-(init.)=1.242 s
    t(norm)=0.0976518, mflops=51.2023 (err=7.8e-015)
9. Temperton (f2c): elapsed time t=1.182 s, 32 iters, t-(init.)=1.132 s
    t(norm)=0.0890031, mflops=56.1778 (err=5.7e-015)
10. Valkenburg: elapsed time t=1.112 s, 4 iters, t-(init.)=1.102 s
    t(norm)=0.693155, mflops=7.2134 (err=5.6e-015)

Top mflops for N=27000 = 72.9699
Normalized results and averages for N=27000:
  fft 0: mflops = 72.9699 (norm. = 1), norm. avg. (of 16) = 0.787515
  fft 1: mflops = 72.5951 (norm. = 0.994863), norm. avg. (of 16) = 0.751627
  fft 2: mflops = 23.8714 (norm. = 0.32714), norm. avg. (of 16) = 0.422364
  fft 3: mflops = 50.7934 (norm. = 0.696086), norm. avg. (of 16) = 0.820609
  fft 4: mflops = 50.3909 (norm. = 0.690571), norm. avg. (of 16) = 0.761811
  fft 5: mflops = 17.7437 (norm. = 0.243164), norm. avg. (of 16) = 0.340724
  fft 6: mflops = 42.9105 (norm. = 0.588057), norm. avg. (of 16) = 0.941361
  fft 7: mflops = 8.48816 (norm. = 0.116324), norm. avg. (of 16) = 0.157717
  fft 8: mflops = 51.2023 (norm. = 0.701691), norm. avg. (of 16) = 0.67234
  fft 9: mflops = 56.1778 (norm. = 0.769876), norm. avg. (of 12) = 0.620607
  fft 10: mflops = 7.2134 (norm. = 0.0988544), norm. avg. (of 16) = 0.114678

Benchmarking for array size = 75600:
0. CWP (min N) (N=80080): elapsed time t=1.132 s, 8 iters, t-(init.)=1.022 s
    t(norm)=0.10427, mflops=47.9523
1. CWP (best N) (N=80080): elapsed time t=1.121 s, 8 iters, t-(init.)=1.011 s
    t(norm)=0.103148, mflops=48.474
2. FFTPACK (f2c): elapsed time t=1.602 s, 4 iters, t-(init.)=1.542 s
    t(norm)=0.314647, mflops=15.8908 (err=1.1e-014)

FFTW_MEASURE plan: (cost = 1.355000e-001)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 4
FFTW_TWIDDLE 10
FFTW_NOTW 6

3. FFTW: elapsed time t=1.081 s, 8 iters, t-(init.)=0.97 s
    t(norm)=0.098965, mflops=50.5229 (err=1.1e-014)

FFTW_ESTIMATE plan: (cost = 2.971080e+006)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 8
FFTW_NOTW 15

4. FFTW_ESTIMATE: elapsed time t=1.061 s, 8 iters, t-(init.)=0.95 s
    t(norm)=0.0969245, mflops=51.5866 (err=1.1e-014)
5. Frigo-old: elapsed time t=1.553 s, 4 iters, t-(init.)=1.503 s
    t(norm)=0.306689, mflops=16.3031 (err=1.1e-014)
6. GSL: elapsed time t=1.693 s, 8 iters, t-(init.)=1.583 s
    t(norm)=0.161507, mflops=30.9585 (err=1.1e-014)
7. NAPACK (f2c): elapsed time t=1.703 s, 2 iters, t-(init.)=1.673 s
    t(norm)=0.682756, mflops=7.32326 (err=5.1e-012)
8. Singleton (f2c): elapsed time t=1.082 s, 4 iters, t-(init.)=1.032 s
    t(norm)=0.210581, mflops=23.7438 (err=1.5e-014)
9. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
10. Valkenburg: elapsed time t=1.973 s, 2 iters, t-(init.)=1.943 s
    t(norm)=0.792944, mflops=6.30562 (err=1.1e-014)

Top mflops for N=75600 = 51.5866
Normalized results and averages for N=75600:
  fft 0: mflops = 47.9523 (norm. = 0.92955), norm. avg. (of 17) = 0.79587
  fft 1: mflops = 48.474 (norm. = 0.939664), norm. avg. (of 17) = 0.762688
  fft 2: mflops = 15.8908 (norm. = 0.308042), norm. avg. (of 17) = 0.415639
  fft 3: mflops = 50.5229 (norm. = 0.979381), norm. avg. (of 17) = 0.829949
  fft 4: mflops = 51.5866 (norm. = 1), norm. avg. (of 17) = 0.775822
  fft 5: mflops = 16.3031 (norm. = 0.316035), norm. avg. (of 17) = 0.339272
  fft 6: mflops = 30.9585 (norm. = 0.600126), norm. avg. (of 17) = 0.921289
  fft 7: mflops = 7.32326 (norm. = 0.141961), norm. avg. (of 17) = 0.15679
  fft 8: mflops = 23.7438 (norm. = 0.460271), norm. avg. (of 17) = 0.659865
  fft 9: mflops = -1 (norm. = -0.0193849), norm. avg. (of 12) = 0.620607
  fft 10: mflops = 6.30562 (norm. = 0.122234), norm. avg. (of 17) = 0.115122

Benchmarking for array size = 165375:
0. CWP (min N) (N=180180): elapsed time t=1.543 s, 4 iters, t-(init.)=1.403 s
    t(norm)=0.122347, mflops=40.8673
1. CWP (best N) (N=180180): elapsed time t=1.542 s, 4 iters, t-(init.)=1.391 s
    t(norm)=0.121301, mflops=41.2198
2. FFTPACK (f2c): elapsed time t=1.412 s, 1 iters, t-(init.)=1.382 s
    t(norm)=0.482064, mflops=10.3721 (err=2.7e-014)

FFTW_MEASURE plan: (cost = 3.510000e-001)
FFTW_TWIDDLE 5
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_NOTW 3

3. FFTW: elapsed time t=1.351 s, 4 iters, t-(init.)=1.22 s
    t(norm)=0.106389, mflops=46.9974 (err=2.7e-014)

FFTW_ESTIMATE plan: (cost = 8.367975e+006)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_TWIDDLE 9
FFTW_NOTW 15

4. FFTW_ESTIMATE: elapsed time t=1.352 s, 4 iters, t-(init.)=1.222 s
    t(norm)=0.106563, mflops=46.9204 (err=2.7e-014)
5. Frigo-old: elapsed time t=1.232 s, 1 iters, t-(init.)=1.202 s
    t(norm)=0.419277, mflops=11.9253 (err=2.7e-014)
6. GSL: elapsed time t=1.932 s, 4 iters, t-(init.)=1.801 s
    t(norm)=0.157055, mflops=31.8361 (err=2.7e-014)
7. NAPACK (f2c): elapsed time t=2.213 s, 1 iters, t-(init.)=2.193 s
    t(norm)=0.764954, mflops=6.53634 (err=1.6e-011)
8. Singleton (f2c): elapsed time t=1.392 s, 2 iters, t-(init.)=1.332 s
    t(norm)=0.232312, mflops=21.5228 (err=4.0e-014)
9. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
10. Valkenburg: elapsed time t=2.334 s, 1 iters, t-(init.)=2.304 s
    t(norm)=0.803673, mflops=6.22144 (err=2.7e-014)

Top mflops for N=165375 = 46.9974
Normalized results and averages for N=165375:
  fft 0: mflops = 40.8673 (norm. = 0.869565), norm. avg. (of 18) = 0.799964
  fft 1: mflops = 41.2198 (norm. = 0.877067), norm. avg. (of 18) = 0.769043
  fft 2: mflops = 10.3721 (norm. = 0.220695), norm. avg. (of 18) = 0.404809
  fft 3: mflops = 46.9974 (norm. = 1), norm. avg. (of 18) = 0.839396
  fft 4: mflops = 46.9204 (norm. = 0.998363), norm. avg. (of 18) = 0.788185
  fft 5: mflops = 11.9253 (norm. = 0.253744), norm. avg. (of 18) = 0.33452
  fft 6: mflops = 31.8361 (norm. = 0.677401), norm. avg. (of 18) = 0.907739
  fft 7: mflops = 6.53634 (norm. = 0.139079), norm. avg. (of 18) = 0.155806
  fft 8: mflops = 21.5228 (norm. = 0.457958), norm. avg. (of 18) = 0.648648
  fft 9: mflops = -1 (norm. = -0.0212778), norm. avg. (of 12) = 0.620607
  fft 10: mflops = 6.22144 (norm. = 0.132378), norm. avg. (of 18) = 0.116081

Benchmarking for array size = 362880:
0. CWP (min N) (N=720720): elapsed time t=1.622 s, 1 iters, t-(init.)=1.472 s
    t(norm)=0.219633, mflops=22.7652
1. CWP (best N) (N=720720): elapsed time t=1.613 s, 1 iters, t-(init.)=1.463 s
    t(norm)=0.21829, mflops=22.9053
2. FFTPACK (f2c): elapsed time t=2.273 s, 1 iters, t-(init.)=2.203 s
    t(norm)=0.328704, mflops=15.2113 (err=1.1e-013)

FFTW_MEASURE plan: (cost = 7.410000e-001)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 9
FFTW_TWIDDLE 10
FFTW_TWIDDLE 7
FFTW_TWIDDLE 9
FFTW_NOTW 2

3. FFTW: elapsed time t=1.402 s, 2 iters, t-(init.)=1.262 s
    t(norm)=0.0941499, mflops=53.1068 (err=1.1e-013)

FFTW_ESTIMATE plan: (cost = 7.511616e+006)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 9
FFTW_TWIDDLE 9
FFTW_TWIDDLE 7
FFTW_TWIDDLE 2
FFTW_NOTW 32

4. FFTW_ESTIMATE: elapsed time t=1.622 s, 2 iters, t-(init.)=1.471 s
    t(norm)=0.109742, mflops=45.5614 (err=1.1e-013)
5. Frigo-old: elapsed time t=2.254 s, 1 iters, t-(init.)=2.184 s
    t(norm)=0.325869, mflops=15.3436 (err=1.1e-013)
6. GSL: elapsed time t=1.062 s, 1 iters, t-(init.)=0.992 s
    t(norm)=0.148014, mflops=33.7806 (err=1.1e-013)
7. NAPACK (f2c): elapsed time t=4.346 s, 1 iters, t-(init.)=4.266 s
    t(norm)=0.636519, mflops=7.85523 (err=3.4e-011)
8. Singleton (f2c): elapsed time t=1.963 s, 1 iters, t-(init.)=1.903 s
    t(norm)=0.283942, mflops=17.6092 (err=1.6e-013)
9. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
10. Valkenburg: elapsed time t=5.898 s, 1 iters, t-(init.)=5.828 s
    t(norm)=0.869581, mflops=5.7499 (err=1.1e-013)

Top mflops for N=362880 = 53.1068
Normalized results and averages for N=362880:
  fft 0: mflops = 22.7652 (norm. = 0.428668), norm. avg. (of 19) = 0.780422
  fft 1: mflops = 22.9053 (norm. = 0.431306), norm. avg. (of 19) = 0.751267
  fft 2: mflops = 15.2113 (norm. = 0.286428), norm. avg. (of 19) = 0.398578
  fft 3: mflops = 53.1068 (norm. = 1), norm. avg. (of 19) = 0.847849
  fft 4: mflops = 45.5614 (norm. = 0.85792), norm. avg. (of 19) = 0.791856
  fft 5: mflops = 15.3436 (norm. = 0.288919), norm. avg. (of 19) = 0.33212
  fft 6: mflops = 33.7806 (norm. = 0.636089), norm. avg. (of 19) = 0.893442
  fft 7: mflops = 7.85523 (norm. = 0.147914), norm. avg. (of 19) = 0.155391
  fft 8: mflops = 17.6092 (norm. = 0.331582), norm. avg. (of 19) = 0.63196
  fft 9: mflops = -1 (norm. = -0.01883), norm. avg. (of 12) = 0.620607
  fft 10: mflops = 5.7499 (norm. = 0.10827), norm. avg. (of 19) = 0.11567

------------------------------------------------------
@@@@ 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)  512x128x64 (64.0236 MB)  256x128x256 (128.012 MB)
Maximum array size N = 8388608

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


Computing normalized averages (5 transforms).

Benchmarking for array size = 4x4x4 (power of 2):
0. FFTW: elapsed time t=1.032 s, 65536 iters, t-(init.)=0.932 s
    t(norm)=0.0370344, mflops=135.01 (err=1.7e-016)
1. Skipping fft (all dimensions must be > 4 for HARM).
2. PDA (f2c): elapsed time t=1.121 s, 8192 iters, t-(init.)=1.101 s
    t(norm)=0.349998, mflops=14.2858 (err=1.9e-016)
3. Singleton (f2c): elapsed time t=1.232 s, 65536 iters, t-(init.)=1.132 s
    t(norm)=0.0449816, mflops=111.156 (err=1.7e-016)
4. Temperton (f2c): elapsed time t=1.021 s, 32768 iters, t-(init.)=0.971 s
    t(norm)=0.0771681, mflops=64.7936 (err=1.7e-016)

Top mflops for N=64 = 135.01
Normalized results and averages for N=64:
  fft 0: mflops = 135.01 (norm. = 1), norm. avg. (of 1) = 1
  fft 1: mflops = -1 (norm. = -0.00740687), norm. avg. (of 0) = -1
  fft 2: mflops = 14.2858 (norm. = 0.105813), norm. avg. (of 1) = 0.105813
  fft 3: mflops = 111.156 (norm. = 0.823322), norm. avg. (of 1) = 0.823322
  fft 4: mflops = 64.7936 (norm. = 0.479918), norm. avg. (of 1) = 0.479918

Benchmarking for array size = 8x8x8 (power of 2):
0. FFTW: elapsed time t=1.242 s, 8192 iters, t-(init.)=1.142 s
    t(norm)=0.0302527, mflops=165.275 (err=3.1e-016)
1. HARM (f2c): elapsed time t=1.663 s, 8192 iters, t-(init.)=1.563 s
    t(norm)=0.0414054, mflops=120.757 (err=3.2e-016)
2. PDA (f2c): elapsed time t=1.101 s, 1024 iters, t-(init.)=1.091 s
    t(norm)=0.231213, mflops=21.6251 (err=2.8e-016)
3. Singleton (f2c): elapsed time t=1.953 s, 8192 iters, t-(init.)=1.853 s
    t(norm)=0.0490877, mflops=101.858 (err=3.1e-016)
4. Temperton (f2c): elapsed time t=1.653 s, 8192 iters, t-(init.)=1.553 s
    t(norm)=0.0411405, mflops=121.535 (err=3.1e-016)

Top mflops for N=512 = 165.275
Normalized results and averages for N=512:
  fft 0: mflops = 165.275 (norm. = 1), norm. avg. (of 2) = 1
  fft 1: mflops = 120.757 (norm. = 0.730646), norm. avg. (of 1) = 0.730646
  fft 2: mflops = 21.6251 (norm. = 0.130843), norm. avg. (of 2) = 0.118328
  fft 3: mflops = 101.858 (norm. = 0.616298), norm. avg. (of 2) = 0.71981
  fft 4: mflops = 121.535 (norm. = 0.735351), norm. avg. (of 2) = 0.607634

Benchmarking for array size = 16x16x16 (power of 2):
0. FFTW: elapsed time t=1.162 s, 256 iters, t-(init.)=1.102 s
    t(norm)=0.0875791, mflops=57.0913 (err=3.8e-016)
1. HARM (f2c): elapsed time t=1.232 s, 512 iters, t-(init.)=1.112 s
    t(norm)=0.0441869, mflops=113.156 (err=3.7e-016)
2. PDA (f2c): elapsed time t=1.162 s, 128 iters, t-(init.)=1.132 s
    t(norm)=0.179927, mflops=27.7891 (err=4.0e-016)
3. Singleton (f2c): elapsed time t=1.993 s, 512 iters, t-(init.)=1.873 s
    t(norm)=0.0744263, mflops=67.1805 (err=3.8e-016)
4. Temperton (f2c): elapsed time t=1.502 s, 512 iters, t-(init.)=1.382 s
    t(norm)=0.0549157, mflops=91.0486 (err=4.1e-016)

Top mflops for N=4096 = 113.156
Normalized results and averages for N=4096:
  fft 0: mflops = 57.0913 (norm. = 0.504537), norm. avg. (of 3) = 0.834846
  fft 1: mflops = 113.156 (norm. = 1), norm. avg. (of 2) = 0.865323
  fft 2: mflops = 27.7891 (norm. = 0.245583), norm. avg. (of 3) = 0.160746
  fft 3: mflops = 67.1805 (norm. = 0.5937), norm. avg. (of 3) = 0.677773
  fft 4: mflops = 91.0486 (norm. = 0.804631), norm. avg. (of 3) = 0.6733

Benchmarking for array size = 32x32x32 (power of 2):
0. FFTW: elapsed time t=1.311 s, 32 iters, t-(init.)=1.241 s
    t(norm)=0.0789007, mflops=63.3708 (err=4.7e-016)
1. HARM (f2c): elapsed time t=1.943 s, 64 iters, t-(init.)=1.813 s
    t(norm)=0.0576337, mflops=86.7548 (err=5.3e-016)
2. PDA (f2c): elapsed time t=1.612 s, 16 iters, t-(init.)=1.582 s
    t(norm)=0.201162, mflops=24.8556 (err=4.1e-016)
3. Singleton (f2c): elapsed time t=1.592 s, 32 iters, t-(init.)=1.522 s
    t(norm)=0.0967662, mflops=51.671 (err=4.9e-016)
4. Temperton (f2c): elapsed time t=1.152 s, 32 iters, t-(init.)=1.092 s
    t(norm)=0.0694275, mflops=72.0176 (err=4.6e-016)

Top mflops for N=32768 = 86.7548
Normalized results and averages for N=32768:
  fft 0: mflops = 63.3708 (norm. = 0.730459), norm. avg. (of 4) = 0.808749
  fft 1: mflops = 86.7548 (norm. = 1), norm. avg. (of 3) = 0.910215
  fft 2: mflops = 24.8556 (norm. = 0.286504), norm. avg. (of 4) = 0.192186
  fft 3: mflops = 51.671 (norm. = 0.595598), norm. avg. (of 4) = 0.657229
  fft 4: mflops = 72.0176 (norm. = 0.830128), norm. avg. (of 4) = 0.712507

Benchmarking for array size = 64x64x64 (power of 2):
0. FFTW: elapsed time t=1.242 s, 2 iters, t-(init.)=1.132 s
    t(norm)=0.119951, mflops=41.6837 (err=1.3e-015)
1. HARM (f2c): elapsed time t=1.241 s, 2 iters, t-(init.)=1.13 s
    t(norm)=0.119739, mflops=41.7575 (err=1.2e-015)
2. PDA (f2c): elapsed time t=1.202 s, 1 iters, t-(init.)=1.152 s
    t(norm)=0.244141, mflops=20.48 (err=1.2e-015)
3. Singleton (f2c): elapsed time t=1.182 s, 1 iters, t-(init.)=1.132 s
    t(norm)=0.239902, mflops=20.8418 (err=1.7e-015)
4. Temperton (f2c): elapsed time t=1.302 s, 2 iters, t-(init.)=1.192 s
    t(norm)=0.126309, mflops=39.5855 (err=1.3e-015)

Top mflops for N=262144 = 41.7575
Normalized results and averages for N=262144:
  fft 0: mflops = 41.6837 (norm. = 0.998233), norm. avg. (of 5) = 0.846646
  fft 1: mflops = 41.7575 (norm. = 1), norm. avg. (of 4) = 0.932662
  fft 2: mflops = 20.48 (norm. = 0.490451), norm. avg. (of 5) = 0.251839
  fft 3: mflops = 20.8418 (norm. = 0.499117), norm. avg. (of 5) = 0.625607
  fft 4: mflops = 39.5855 (norm. = 0.947987), norm. avg. (of 5) = 0.759603

Benchmarking for array size = 256x64x32 (power of 2):
0. FFTW: elapsed time t=1.241 s, 1 iters, t-(init.)=1.14 s
    t(norm)=0.114441, mflops=43.6907 (err=1.2e-015)
1. HARM (f2c): elapsed time t=1.382 s, 1 iters, t-(init.)=1.282 s
    t(norm)=0.128696, mflops=38.8513 (err=1.2e-015)
2. PDA (f2c): elapsed time t=2.463 s, 1 iters, t-(init.)=2.363 s
    t(norm)=0.237214, mflops=21.078 (err=1.2e-015)
3. Singleton (f2c): elapsed time t=2.644 s, 1 iters, t-(init.)=2.544 s
    t(norm)=0.255384, mflops=19.5784 (err=1.8e-015)
4. Temperton (f2c): elapsed time t=1.332 s, 1 iters, t-(init.)=1.222 s
    t(norm)=0.122673, mflops=40.7589 (err=1.2e-015)

Top mflops for N=524288 = 43.6907
Normalized results and averages for N=524288:
  fft 0: mflops = 43.6907 (norm. = 1), norm. avg. (of 6) = 0.872205
  fft 1: mflops = 38.8513 (norm. = 0.889236), norm. avg. (of 5) = 0.923976
  fft 2: mflops = 21.078 (norm. = 0.482438), norm. avg. (of 6) = 0.290272
  fft 3: mflops = 19.5784 (norm. = 0.448113), norm. avg. (of 6) = 0.596025
  fft 4: mflops = 40.7589 (norm. = 0.932897), norm. avg. (of 6) = 0.788485

Benchmarking for array size = 16x1024x64 (power of 2):
0. FFTW: elapsed time t=2.574 s, 1 iters, t-(init.)=2.364 s
    t(norm)=0.112724, mflops=44.356 (err=2.0e-015)
1. HARM (f2c): elapsed time t=2.784 s, 1 iters, t-(init.)=2.573 s
    t(norm)=0.12269, mflops=40.7531 (err=2.0e-015)
2. PDA (f2c): elapsed time t=5.688 s, 1 iters, t-(init.)=5.477 s
    t(norm)=0.261164, mflops=19.1451 (err=2.0e-015)
3. Singleton (f2c): elapsed time t=5.017 s, 1 iters, t-(init.)=4.807 s
    t(norm)=0.229216, mflops=21.8135 (err=2.8e-015)
4. Skipping fft (Temperton can't handle dimensions > 256).

Top mflops for N=1048576 = 44.356
Normalized results and averages for N=1048576:
  fft 0: mflops = 44.356 (norm. = 1), norm. avg. (of 7) = 0.890461
  fft 1: mflops = 40.7531 (norm. = 0.918772), norm. avg. (of 6) = 0.923109
  fft 2: mflops = 19.1451 (norm. = 0.431623), norm. avg. (of 7) = 0.310465
  fft 3: mflops = 21.8135 (norm. = 0.491783), norm. avg. (of 7) = 0.581133
  fft 4: mflops = -1 (norm. = -0.0225449), norm. avg. (of 6) = 0.788485

Benchmarking for array size = 128x128x128 (power of 2):
0. FFTW: elapsed time t=5.247 s, 1 iters, t-(init.)=4.826 s
    t(norm)=0.109582, mflops=45.628 (err=7.8e-016)
1. HARM (f2c): elapsed time t=6.389 s, 1 iters, t-(init.)=5.968 s
    t(norm)=0.135513, mflops=36.8969 (err=7.3e-016)
2. PDA (f2c): elapsed time t=10.144 s, 1 iters, t-(init.)=9.733 s
    t(norm)=0.221003, mflops=22.6242 (err=7.0e-016)
3. Singleton (f2c): elapsed time t=15.031 s, 1 iters, t-(init.)=14.61 s
    t(norm)=0.331742, mflops=15.0719 (err=8.9e-016)
4. Temperton (f2c): elapsed time t=7.882 s, 1 iters, t-(init.)=7.462 s
    t(norm)=0.169436, mflops=29.5096 (err=7.7e-016)

Top mflops for N=2097152 = 45.628
Normalized results and averages for N=2097152:
  fft 0: mflops = 45.628 (norm. = 1), norm. avg. (of 8) = 0.904154
  fft 1: mflops = 36.8969 (norm. = 0.808646), norm. avg. (of 7) = 0.906757
  fft 2: mflops = 22.6242 (norm. = 0.495839), norm. avg. (of 8) = 0.333637
  fft 3: mflops = 15.0719 (norm. = 0.330322), norm. avg. (of 8) = 0.549781
  fft 4: mflops = 29.5096 (norm. = 0.646744), norm. avg. (of 7) = 0.768236

Benchmarking for array size = 512x128x64 (power of 2):
0. FFTW: elapsed time t=10.986 s, 1 iters, t-(init.)=10.145 s
    t(norm)=0.109943, mflops=45.4779 (err=1.4e-015)
1. HARM (f2c): elapsed time t=12.928 s, 1 iters, t-(init.)=12.086 s
    t(norm)=0.130978, mflops=38.1742 (err=1.2e-015)
2. PDA (f2c): elapsed time t=21.612 s, 1 iters, t-(init.)=20.771 s
    t(norm)=0.2251, mflops=22.2124 (err=1.3e-015)
3. Singleton (f2c): elapsed time t=26.978 s, 1 iters, t-(init.)=26.136 s
    t(norm)=0.283241, mflops=17.6528 (err=1.6e-015)
4. Skipping fft (Temperton can't handle dimensions > 256).

Top mflops for N=4194304 = 45.4779
Normalized results and averages for N=4194304:
  fft 0: mflops = 45.4779 (norm. = 1), norm. avg. (of 9) = 0.914803
  fft 1: mflops = 38.1742 (norm. = 0.839401), norm. avg. (of 8) = 0.898338
  fft 2: mflops = 22.2124 (norm. = 0.488421), norm. avg. (of 9) = 0.350835
  fft 3: mflops = 17.6528 (norm. = 0.388162), norm. avg. (of 9) = 0.531824
  fft 4: mflops = -1 (norm. = -0.0219887), norm. avg. (of 7) = 0.768236

Benchmarking for array size = 256x128x256 (power of 2):
0. FFTW: elapsed time t=22.252 s, 1 iters, t-(init.)=20.58 s
    t(norm)=0.106666, mflops=46.8751 (err=1.5e-015)
1. HARM (f2c): elapsed time t=25.727 s, 1 iters, t-(init.)=24.054 s
    t(norm)=0.124672, mflops=40.1052 (err=1.4e-015)
2. PDA (f2c): elapsed time t=41.87 s, 1 iters, t-(init.)=40.187 s
    t(norm)=0.20829, mflops=24.005 (err=1.4e-015)
3. Singleton (f2c): elapsed time t=53.838 s, 1 iters, t-(init.)=52.156 s
    t(norm)=0.270325, mflops=18.4962 (err=2.1e-015)
4. Temperton (f2c): elapsed time t=30.734 s, 1 iters, t-(init.)=29.052 s
    t(norm)=0.150577, mflops=33.2056 (err=1.5e-015)

Top mflops for N=8388608 = 46.8751
Normalized results and averages for N=8388608:
  fft 0: mflops = 46.8751 (norm. = 1), norm. avg. (of 10) = 0.923323
  fft 1: mflops = 40.1052 (norm. = 0.855575), norm. avg. (of 9) = 0.893586
  fft 2: mflops = 24.005 (norm. = 0.512106), norm. avg. (of 10) = 0.366962
  fft 3: mflops = 18.4962 (norm. = 0.394585), norm. avg. (of 10) = 0.5181
  fft 4: mflops = 33.2056 (norm. = 0.708385), norm. avg. (of 8) = 0.760755

------------------------------------------------------
@@@@ 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)  180x180x180 (88.9976 MB)  240x240x240 (210.949 MB)
Maximum array size N = 13824000

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


Computing normalized averages (4 transforms).

Benchmarking for array size = 5x5x5:
0. FFTW: elapsed time t=1.372 s, 32768 iters, t-(init.)=1.271 s
    t(norm)=0.0445467, mflops=112.242 (err=2.3e-016)
1. PDA (f2c): elapsed time t=1.102 s, 4096 iters, t-(init.)=1.092 s
    t(norm)=0.306184, mflops=16.33 (err=2.6e-016)
2. Singleton (f2c): elapsed time t=1.162 s, 32768 iters, t-(init.)=1.062 s
    t(norm)=0.0372216, mflops=134.331 (err=2.9e-016)
3. Temperton (f2c): elapsed time t=1.081 s, 16384 iters, t-(init.)=1.031 s
    t(norm)=0.0722701, mflops=69.1849 (err=2.1e-016)

Top mflops for N=125 = 134.331
Normalized results and averages for N=125:
  fft 0: mflops = 112.242 (norm. = 0.835563), norm. avg. (of 1) = 0.835563
  fft 1: mflops = 16.33 (norm. = 0.121566), norm. avg. (of 1) = 0.121566
  fft 2: mflops = 134.331 (norm. = 1), norm. avg. (of 1) = 1
  fft 3: mflops = 69.1849 (norm. = 0.515034), norm. avg. (of 1) = 0.515034

Benchmarking for array size = 6x6x6:
0. FFTW: elapsed time t=1.022 s, 16384 iters, t-(init.)=0.942 s
    t(norm)=0.0343243, mflops=145.669 (err=2.5e-016)
1. PDA (f2c): elapsed time t=1.002 s, 2048 iters, t-(init.)=0.992 s
    t(norm)=0.289169, mflops=17.2909 (err=2.9e-016)
2. Singleton (f2c): elapsed time t=1.773 s, 16384 iters, t-(init.)=1.693 s
    t(norm)=0.061689, mflops=81.0517 (err=2.6e-016)
3. Temperton (f2c): elapsed time t=1.753 s, 16384 iters, t-(init.)=1.673 s
    t(norm)=0.0609603, mflops=82.0207 (err=2.5e-016)

Top mflops for N=216 = 145.669
Normalized results and averages for N=216:
  fft 0: mflops = 145.669 (norm. = 1), norm. avg. (of 2) = 0.917781
  fft 1: mflops = 17.2909 (norm. = 0.1187), norm. avg. (of 2) = 0.120133
  fft 2: mflops = 81.0517 (norm. = 0.556409), norm. avg. (of 2) = 0.778204
  fft 3: mflops = 82.0207 (norm. = 0.56306), norm. avg. (of 2) = 0.539047

Benchmarking for array size = 7x7x7:
0. FFTW: elapsed time t=1.101 s, 8192 iters, t-(init.)=1.031 s
    t(norm)=0.0435668, mflops=114.766 (err=4.1e-016)
1. PDA (f2c): elapsed time t=1.483 s, 1024 iters, t-(init.)=1.473 s
    t(norm)=0.497955, mflops=10.0411 (err=4.1e-016)
2. Singleton (f2c): elapsed time t=1.492 s, 8192 iters, t-(init.)=1.422 s
    t(norm)=0.0600893, mflops=83.2095 (err=6.4e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=343 = 114.766
Normalized results and averages for N=343:
  fft 0: mflops = 114.766 (norm. = 1), norm. avg. (of 3) = 0.945188
  fft 1: mflops = 10.0411 (norm. = 0.0874915), norm. avg. (of 3) = 0.109252
  fft 2: mflops = 83.2095 (norm. = 0.725035), norm. avg. (of 3) = 0.760481
  fft 3: mflops = -1 (norm. = -0.00871337), norm. avg. (of 2) = 0.539047

Benchmarking for array size = 9x9x9:
0. FFTW: elapsed time t=1.172 s, 4096 iters, t-(init.)=1.102 s
    t(norm)=0.0388082, mflops=128.839 (err=4.6e-016)
1. PDA (f2c): elapsed time t=1.633 s, 1024 iters, t-(init.)=1.613 s
    t(norm)=0.227215, mflops=22.0056 (err=4.4e-016)
2. Singleton (f2c): elapsed time t=1.362 s, 4096 iters, t-(init.)=1.292 s
    t(norm)=0.0454993, mflops=109.892 (err=4.1e-016)
3. Temperton (f2c): elapsed time t=1.492 s, 4096 iters, t-(init.)=1.422 s
    t(norm)=0.0500774, mflops=99.8454 (err=4.2e-016)

Top mflops for N=729 = 128.839
Normalized results and averages for N=729:
  fft 0: mflops = 128.839 (norm. = 1), norm. avg. (of 4) = 0.958891
  fft 1: mflops = 22.0056 (norm. = 0.1708), norm. avg. (of 4) = 0.124639
  fft 2: mflops = 109.892 (norm. = 0.852941), norm. avg. (of 4) = 0.783596
  fft 3: mflops = 99.8454 (norm. = 0.774965), norm. avg. (of 3) = 0.617686

Benchmarking for array size = 10x10x10:
0. FFTW: elapsed time t=1.542 s, 4096 iters, t-(init.)=1.442 s
    t(norm)=0.0353259, mflops=141.539 (err=3.5e-016)
1. PDA (f2c): elapsed time t=1.081 s, 512 iters, t-(init.)=1.061 s
    t(norm)=0.207938, mflops=24.0456 (err=3.9e-016)
2. Singleton (f2c): elapsed time t=1.212 s, 2048 iters, t-(init.)=1.162 s
    t(norm)=0.0569331, mflops=87.8224 (err=4.6e-016)
3. Temperton (f2c): elapsed time t=1.271 s, 2048 iters, t-(init.)=1.22 s
    t(norm)=0.0597748, mflops=83.6472 (err=3.6e-016)

Top mflops for N=1000 = 141.539
Normalized results and averages for N=1000:
  fft 0: mflops = 141.539 (norm. = 1), norm. avg. (of 5) = 0.967113
  fft 1: mflops = 24.0456 (norm. = 0.169887), norm. avg. (of 5) = 0.133689
  fft 2: mflops = 87.8224 (norm. = 0.620482), norm. avg. (of 5) = 0.750973
  fft 3: mflops = 83.6472 (norm. = 0.590984), norm. avg. (of 4) = 0.611011

Benchmarking for array size = 11x11x11:
0. FFTW: elapsed time t=1.582 s, 2048 iters, t-(init.)=1.422 s
    t(norm)=0.050265, mflops=99.4728 (err=4.0e-016)
1. PDA (f2c): elapsed time t=1.833 s, 256 iters, t-(init.)=1.813 s
    t(norm)=0.512689, mflops=9.75251 (err=4.9e-016)
2. Singleton (f2c): elapsed time t=1.192 s, 1024 iters, t-(init.)=1.112 s
    t(norm)=0.0786142, mflops=63.6018 (err=4.6e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=1331 = 99.4728
Normalized results and averages for N=1331:
  fft 0: mflops = 99.4728 (norm. = 1), norm. avg. (of 6) = 0.972594
  fft 1: mflops = 9.75251 (norm. = 0.0980419), norm. avg. (of 6) = 0.127748
  fft 2: mflops = 63.6018 (norm. = 0.639388), norm. avg. (of 6) = 0.732376
  fft 3: mflops = -1 (norm. = -0.010053), norm. avg. (of 4) = 0.611011

Benchmarking for array size = 12x12x12:
0. FFTW: elapsed time t=1.452 s, 2048 iters, t-(init.)=1.252 s
    t(norm)=0.0328946, mflops=152.001 (err=3.8e-016)
1. PDA (f2c): elapsed time t=1.913 s, 512 iters, t-(init.)=1.863 s
    t(norm)=0.195791, mflops=25.5374 (err=3.7e-016)
2. Singleton (f2c): elapsed time t=1.542 s, 1024 iters, t-(init.)=1.441 s
    t(norm)=0.0757207, mflops=66.0322 (err=4.0e-016)
3. Temperton (f2c): elapsed time t=1.052 s, 1024 iters, t-(init.)=0.952 s
    t(norm)=0.050025, mflops=99.95 (err=3.9e-016)

Top mflops for N=1728 = 152.001
Normalized results and averages for N=1728:
  fft 0: mflops = 152.001 (norm. = 1), norm. avg. (of 7) = 0.976509
  fft 1: mflops = 25.5374 (norm. = 0.168009), norm. avg. (of 7) = 0.133499
  fft 2: mflops = 66.0322 (norm. = 0.434421), norm. avg. (of 7) = 0.689811
  fft 3: mflops = 99.95 (norm. = 0.657563), norm. avg. (of 5) = 0.620321

Benchmarking for array size = 13x13x13:
0. FFTW: elapsed time t=1.483 s, 1024 iters, t-(init.)=1.353 s
    t(norm)=0.0541743, mflops=92.2947 (err=4.7e-016)
1. PDA (f2c): elapsed time t=1.693 s, 128 iters, t-(init.)=1.673 s
    t(norm)=0.535897, mflops=9.33015 (err=8.8e-016)
2. Singleton (f2c): elapsed time t=1.192 s, 512 iters, t-(init.)=1.122 s
    t(norm)=0.08985, mflops=55.6483 (err=8.5e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=2197 = 92.2947
Normalized results and averages for N=2197:
  fft 0: mflops = 92.2947 (norm. = 1), norm. avg. (of 8) = 0.979445
  fft 1: mflops = 9.33015 (norm. = 0.101091), norm. avg. (of 8) = 0.129448
  fft 2: mflops = 55.6483 (norm. = 0.602941), norm. avg. (of 8) = 0.678952
  fft 3: mflops = -1 (norm. = -0.0108349), norm. avg. (of 5) = 0.620321

Benchmarking for array size = 14x14x14:
0. FFTW: elapsed time t=1.562 s, 1024 iters, t-(init.)=1.402 s
    t(norm)=0.0436837, mflops=114.459 (err=4.1e-016)
1. PDA (f2c): elapsed time t=1.462 s, 128 iters, t-(init.)=1.441 s
    t(norm)=0.359191, mflops=13.9202 (err=4.7e-016)
2. Singleton (f2c): elapsed time t=1.512 s, 512 iters, t-(init.)=1.432 s
    t(norm)=0.0892369, mflops=56.0307 (err=5.7e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=2744 = 114.459
Normalized results and averages for N=2744:
  fft 0: mflops = 114.459 (norm. = 1), norm. avg. (of 9) = 0.981729
  fft 1: mflops = 13.9202 (norm. = 0.121617), norm. avg. (of 9) = 0.128578
  fft 2: mflops = 56.0307 (norm. = 0.489525), norm. avg. (of 9) = 0.657905
  fft 3: mflops = -1 (norm. = -0.00873674), norm. avg. (of 5) = 0.620321

Benchmarking for array size = 15x15x15:
0. FFTW: elapsed time t=1.843 s, 1024 iters, t-(init.)=1.653 s
    t(norm)=0.0408081, mflops=122.525 (err=5.2e-016)
1. PDA (f2c): elapsed time t=1.993 s, 256 iters, t-(init.)=1.943 s
    t(norm)=0.19187, mflops=26.0593 (err=5.4e-016)
2. Singleton (f2c): elapsed time t=1.643 s, 512 iters, t-(init.)=1.543 s
    t(norm)=0.076185, mflops=65.6297 (err=6.6e-016)
3. Temperton (f2c): elapsed time t=1.322 s, 512 iters, t-(init.)=1.222 s
    t(norm)=0.0603358, mflops=82.8696 (err=5.2e-016)

Top mflops for N=3375 = 122.525
Normalized results and averages for N=3375:
  fft 0: mflops = 122.525 (norm. = 1), norm. avg. (of 10) = 0.983556
  fft 1: mflops = 26.0593 (norm. = 0.212687), norm. avg. (of 10) = 0.136989
  fft 2: mflops = 65.6297 (norm. = 0.535645), norm. avg. (of 10) = 0.645679
  fft 3: mflops = 82.8696 (norm. = 0.67635), norm. avg. (of 6) = 0.629659

Benchmarking for array size = 24x25x28:
0. FFTW: elapsed time t=1.092 s, 64 iters, t-(init.)=1.032 s
    t(norm)=0.068382, mflops=73.1187 (err=4.4e-016)
1. PDA (f2c): elapsed time t=1.652 s, 32 iters, t-(init.)=1.622 s
    t(norm)=0.214953, mflops=23.2609 (err=4.6e-016)
2. Singleton (f2c): elapsed time t=1.422 s, 64 iters, t-(init.)=1.362 s
    t(norm)=0.0902483, mflops=55.4027 (err=5.5e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=16800 = 73.1187
Normalized results and averages for N=16800:
  fft 0: mflops = 73.1187 (norm. = 1), norm. avg. (of 11) = 0.985051
  fft 1: mflops = 23.2609 (norm. = 0.318126), norm. avg. (of 11) = 0.153456
  fft 2: mflops = 55.4027 (norm. = 0.757709), norm. avg. (of 11) = 0.655863
  fft 3: mflops = -1 (norm. = -0.0136764), norm. avg. (of 6) = 0.629659

Benchmarking for array size = 48x48x48:
0. FFTW: elapsed time t=1.733 s, 8 iters, t-(init.)=1.563 s
    t(norm)=0.10544, mflops=47.4205 (err=7.5e-016)
1. PDA (f2c): elapsed time t=1.622 s, 4 iters, t-(init.)=1.542 s
    t(norm)=0.208046, mflops=24.0332 (err=7.1e-016)
2. Singleton (f2c): elapsed time t=1.873 s, 4 iters, t-(init.)=1.773 s
    t(norm)=0.239212, mflops=20.9019 (err=6.7e-016)
3. Temperton (f2c): elapsed time t=1.753 s, 8 iters, t-(init.)=1.583 s
    t(norm)=0.106789, mflops=46.8214 (err=8.0e-016)

Top mflops for N=110592 = 47.4205
Normalized results and averages for N=110592:
  fft 0: mflops = 47.4205 (norm. = 1), norm. avg. (of 12) = 0.986297
  fft 1: mflops = 24.0332 (norm. = 0.506809), norm. avg. (of 12) = 0.182902
  fft 2: mflops = 20.9019 (norm. = 0.440778), norm. avg. (of 12) = 0.63794
  fft 3: mflops = 46.8214 (norm. = 0.987366), norm. avg. (of 7) = 0.68076

Benchmarking for array size = 49x49x49:
0. FFTW: elapsed time t=1.462 s, 8 iters, t-(init.)=1.272 s
    t(norm)=0.0802343, mflops=62.3175 (err=6.7e-016)
1. PDA (f2c): elapsed time t=1.742 s, 2 iters, t-(init.)=1.702 s
    t(norm)=0.42943, mflops=11.6433 (err=7.0e-016)
2. Singleton (f2c): elapsed time t=1.513 s, 4 iters, t-(init.)=1.423 s
    t(norm)=0.179518, mflops=27.8524 (err=9.3e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=117649 = 62.3175
Normalized results and averages for N=117649:
  fft 0: mflops = 62.3175 (norm. = 1), norm. avg. (of 13) = 0.987351
  fft 1: mflops = 11.6433 (norm. = 0.186839), norm. avg. (of 13) = 0.183205
  fft 2: mflops = 27.8524 (norm. = 0.446943), norm. avg. (of 13) = 0.623248
  fft 3: mflops = -1 (norm. = -0.0160469), norm. avg. (of 7) = 0.68076

Benchmarking for array size = 60x60x60:
0. FFTW: elapsed time t=1.673 s, 4 iters, t-(init.)=1.503 s
    t(norm)=0.0981669, mflops=50.9337 (err=7.5e-016)
1. PDA (f2c): elapsed time t=1.632 s, 2 iters, t-(init.)=1.542 s
    t(norm)=0.201428, mflops=24.8227 (err=7.4e-016)
2. Singleton (f2c): elapsed time t=1.161 s, 1 iters, t-(init.)=1.121 s
    t(norm)=0.292868, mflops=17.0725 (err=1.0e-015)
3. Temperton (f2c): elapsed time t=1.873 s, 4 iters, t-(init.)=1.703 s
    t(norm)=0.11123, mflops=44.952 (err=7.4e-016)

Top mflops for N=216000 = 50.9337
Normalized results and averages for N=216000:
  fft 0: mflops = 50.9337 (norm. = 1), norm. avg. (of 14) = 0.988254
  fft 1: mflops = 24.8227 (norm. = 0.487354), norm. avg. (of 14) = 0.20493
  fft 2: mflops = 17.0725 (norm. = 0.335192), norm. avg. (of 14) = 0.602672
  fft 3: mflops = 44.952 (norm. = 0.88256), norm. avg. (of 8) = 0.705985

Benchmarking for array size = 72x60x56:
0. FFTW: elapsed time t=1.853 s, 4 iters, t-(init.)=1.663 s
    t(norm)=0.096093, mflops=52.0329 (err=7.4e-016)
1. PDA (f2c): elapsed time t=1.072 s, 1 iters, t-(init.)=1.022 s
    t(norm)=0.236217, mflops=21.167 (err=7.8e-016)
2. Singleton (f2c): elapsed time t=1.382 s, 1 iters, t-(init.)=1.331 s
    t(norm)=0.307636, mflops=16.253 (err=9.5e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=241920 = 52.0329
Normalized results and averages for N=241920:
  fft 0: mflops = 52.0329 (norm. = 1), norm. avg. (of 15) = 0.989038
  fft 1: mflops = 21.167 (norm. = 0.4068), norm. avg. (of 15) = 0.218388
  fft 2: mflops = 16.253 (norm. = 0.312359), norm. avg. (of 15) = 0.583318
  fft 3: mflops = -1 (norm. = -0.0192186), norm. avg. (of 8) = 0.705985

Benchmarking for array size = 75x75x75:
0. FFTW: elapsed time t=1.522 s, 2 iters, t-(init.)=1.352 s
    t(norm)=0.0857504, mflops=58.3088 (err=7.9e-016)
1. PDA (f2c): elapsed time t=1.632 s, 1 iters, t-(init.)=1.552 s
    t(norm)=0.196871, mflops=25.3974 (err=7.4e-016)
2. Singleton (f2c): elapsed time t=1.862 s, 1 iters, t-(init.)=1.771 s
    t(norm)=0.224651, mflops=22.2568 (err=9.1e-016)
3. Temperton (f2c): elapsed time t=1.753 s, 2 iters, t-(init.)=1.593 s
    t(norm)=0.101036, mflops=49.4874 (err=9.0e-016)

Top mflops for N=421875 = 58.3088
Normalized results and averages for N=421875:
  fft 0: mflops = 58.3088 (norm. = 1), norm. avg. (of 16) = 0.989723
  fft 1: mflops = 25.3974 (norm. = 0.435567), norm. avg. (of 16) = 0.231962
  fft 2: mflops = 22.2568 (norm. = 0.381705), norm. avg. (of 16) = 0.570717
  fft 3: mflops = 49.4874 (norm. = 0.848713), norm. avg. (of 9) = 0.721844

Benchmarking for array size = 80x80x80:
0. FFTW: elapsed time t=1.081 s, 1 iters, t-(init.)=0.98 s
    t(norm)=0.100922, mflops=49.5433 (err=7.4e-016)
1. PDA (f2c): elapsed time t=1.973 s, 1 iters, t-(init.)=1.873 s
    t(norm)=0.192884, mflops=25.9223 (err=7.1e-016)
2. Singleton (f2c): elapsed time t=2.433 s, 1 iters, t-(init.)=2.332 s
    t(norm)=0.240153, mflops=20.8201 (err=9.7e-016)
3. Temperton (f2c): elapsed time t=1.221 s, 1 iters, t-(init.)=1.111 s
    t(norm)=0.114412, mflops=43.7015 (err=7.7e-016)

Top mflops for N=512000 = 49.5433
Normalized results and averages for N=512000:
  fft 0: mflops = 49.5433 (norm. = 1), norm. avg. (of 17) = 0.990327
  fft 1: mflops = 25.9223 (norm. = 0.523225), norm. avg. (of 17) = 0.249095
  fft 2: mflops = 20.8201 (norm. = 0.42024), norm. avg. (of 17) = 0.561866
  fft 3: mflops = 43.7015 (norm. = 0.882088), norm. avg. (of 10) = 0.737868

Benchmarking for array size = 84x84x84:
0. FFTW: elapsed time t=1.122 s, 1 iters, t-(init.)=1.002 s
    t(norm)=0.0881557, mflops=56.7178 (err=7.8e-016)
1. PDA (f2c): elapsed time t=3.345 s, 1 iters, t-(init.)=3.225 s
    t(norm)=0.283735, mflops=17.6221 (err=7.2e-016)
2. Singleton (f2c): elapsed time t=3.575 s, 1 iters, t-(init.)=3.455 s
    t(norm)=0.30397, mflops=16.449 (err=9.6e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=592704 = 56.7178
Normalized results and averages for N=592704:
  fft 0: mflops = 56.7178 (norm. = 1), norm. avg. (of 18) = 0.990865
  fft 1: mflops = 17.6221 (norm. = 0.310698), norm. avg. (of 18) = 0.252517
  fft 2: mflops = 16.449 (norm. = 0.290014), norm. avg. (of 18) = 0.546763
  fft 3: mflops = -1 (norm. = -0.0176311), norm. avg. (of 10) = 0.737868

Benchmarking for array size = 96x96x96:
0. FFTW: elapsed time t=1.873 s, 1 iters, t-(init.)=1.703 s
    t(norm)=0.0974376, mflops=51.3149 (err=7.4e-016)
1. PDA (f2c): elapsed time t=4.206 s, 1 iters, t-(init.)=4.036 s
    t(norm)=0.230921, mflops=21.6525 (err=6.4e-016)
2. Singleton (f2c): elapsed time t=5.588 s, 1 iters, t-(init.)=5.418 s
    t(norm)=0.309992, mflops=16.1294 (err=7.0e-016)
3. Temperton (f2c): elapsed time t=2.683 s, 1 iters, t-(init.)=2.512 s
    t(norm)=0.143725, mflops=34.7887 (err=7.5e-016)

Top mflops for N=884736 = 51.3149
Normalized results and averages for N=884736:
  fft 0: mflops = 51.3149 (norm. = 1), norm. avg. (of 19) = 0.991345
  fft 1: mflops = 21.6525 (norm. = 0.421952), norm. avg. (of 19) = 0.261435
  fft 2: mflops = 16.1294 (norm. = 0.314323), norm. avg. (of 19) = 0.534529
  fft 3: mflops = 34.7887 (norm. = 0.677946), norm. avg. (of 11) = 0.732421

Benchmarking for array size = 105x105x105:
0. FFTW: elapsed time t=2.253 s, 1 iters, t-(init.)=2.023 s
    t(norm)=0.086758, mflops=57.6316 (err=7.6e-016)
1. PDA (f2c): elapsed time t=6.64 s, 1 iters, t-(init.)=6.41 s
    t(norm)=0.274898, mflops=18.1886 (err=7.4e-016)
2. Singleton (f2c): elapsed time t=5.628 s, 1 iters, t-(init.)=5.397 s
    t(norm)=0.231455, mflops=21.6025 (err=8.2e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=1157625 = 57.6316
Normalized results and averages for N=1157625:
  fft 0: mflops = 57.6316 (norm. = 1), norm. avg. (of 20) = 0.991778
  fft 1: mflops = 18.1886 (norm. = 0.315601), norm. avg. (of 20) = 0.264143
  fft 2: mflops = 21.6025 (norm. = 0.374838), norm. avg. (of 20) = 0.526544
  fft 3: mflops = -1 (norm. = -0.0173516), norm. avg. (of 11) = 0.732421

Benchmarking for array size = 112x112x112:
0. FFTW: elapsed time t=3.155 s, 1 iters, t-(init.)=2.875 s
    t(norm)=0.100204, mflops=49.8983 (err=5.2e-016)
1. PDA (f2c): elapsed time t=8.092 s, 1 iters, t-(init.)=7.812 s
    t(norm)=0.272275, mflops=18.3638 (err=5.9e-016)
2. Singleton (f2c): elapsed time t=6.98 s, 1 iters, t-(init.)=6.7 s
    t(norm)=0.233518, mflops=21.4116 (err=7.0e-016)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=1404928 = 49.8983
Normalized results and averages for N=1404928:
  fft 0: mflops = 49.8983 (norm. = 1), norm. avg. (of 21) = 0.99217
  fft 1: mflops = 18.3638 (norm. = 0.368024), norm. avg. (of 21) = 0.26909
  fft 2: mflops = 21.4116 (norm. = 0.429104), norm. avg. (of 21) = 0.521904
  fft 3: mflops = -1 (norm. = -0.0200408), norm. avg. (of 11) = 0.732421

Benchmarking for array size = 120x120x120:
0. FFTW: elapsed time t=3.766 s, 1 iters, t-(init.)=3.426 s
    t(norm)=0.0956841, mflops=52.2553 (err=7.4e-016)
1. PDA (f2c): elapsed time t=7.301 s, 1 iters, t-(init.)=6.951 s
    t(norm)=0.194133, mflops=25.7555 (err=7.9e-016)
2. Singleton (f2c): elapsed time t=13.359 s, 1 iters, t-(init.)=13.009 s
    t(norm)=0.363326, mflops=13.7617 (err=9.4e-016)
3. Temperton (f2c): elapsed time t=4.817 s, 1 iters, t-(init.)=4.467 s
    t(norm)=0.124758, mflops=40.0776 (err=7.0e-016)

Top mflops for N=1728000 = 52.2553
Normalized results and averages for N=1728000:
  fft 0: mflops = 52.2553 (norm. = 1), norm. avg. (of 22) = 0.992526
  fft 1: mflops = 25.7555 (norm. = 0.492879), norm. avg. (of 22) = 0.279262
  fft 2: mflops = 13.7617 (norm. = 0.263356), norm. avg. (of 22) = 0.510152
  fft 3: mflops = 40.0776 (norm. = 0.766958), norm. avg. (of 12) = 0.735299

Benchmarking for array size = 144x144x144:
0. FFTW: elapsed time t=7.02 s, 1 iters, t-(init.)=6.419 s
    t(norm)=0.0999411, mflops=50.0295 (err=1.2e-015)
1. PDA (f2c): elapsed time t=14.04 s, 1 iters, t-(init.)=13.449 s
    t(norm)=0.209395, mflops=23.8783 (err=1.2e-015)
2. Singleton (f2c): elapsed time t=20.21 s, 1 iters, t-(init.)=19.61 s
    t(norm)=0.305319, mflops=16.3763 (err=1.6e-015)
3. Temperton (f2c): elapsed time t=8.742 s, 1 iters, t-(init.)=8.151 s
    t(norm)=0.126908, mflops=39.3988 (err=1.2e-015)

Top mflops for N=2985984 = 50.0295
Normalized results and averages for N=2985984:
  fft 0: mflops = 50.0295 (norm. = 1), norm. avg. (of 23) = 0.992851
  fft 1: mflops = 23.8783 (norm. = 0.477285), norm. avg. (of 23) = 0.287872
  fft 2: mflops = 16.3763 (norm. = 0.327333), norm. avg. (of 23) = 0.502204
  fft 3: mflops = 39.3988 (norm. = 0.787511), norm. avg. (of 13) = 0.739315

Benchmarking for array size = 180x180x180:
0. FFTW: elapsed time t=13.88 s, 1 iters, t-(init.)=12.709 s
    t(norm)=0.0969579, mflops=51.5688 (err=9.4e-016)
1. PDA (f2c): elapsed time t=26.669 s, 1 iters, t-(init.)=25.498 s
    t(norm)=0.194526, mflops=25.7035 (err=9.3e-016)
2. Singleton (f2c): elapsed time t=45.506 s, 1 iters, t-(init.)=44.345 s
    t(norm)=0.338311, mflops=14.7793 (err=1.2e-015)
3. Temperton (f2c): elapsed time t=15.732 s, 1 iters, t-(init.)=14.56 s
    t(norm)=0.111079, mflops=45.0129 (err=9.5e-016)

Top mflops for N=5832000 = 51.5688
Normalized results and averages for N=5832000:
  fft 0: mflops = 51.5688 (norm. = 1), norm. avg. (of 24) = 0.993148
  fft 1: mflops = 25.7035 (norm. = 0.498431), norm. avg. (of 24) = 0.296645
  fft 2: mflops = 14.7793 (norm. = 0.286594), norm. avg. (of 24) = 0.49322
  fft 3: mflops = 45.0129 (norm. = 0.872871), norm. avg. (of 14) = 0.748855

Benchmarking for array size = 240x240x240:
0. FFTW: elapsed time t=37.634 s, 1 iters, t-(init.)=34.87 s
    t(norm)=0.106339, mflops=47.0196 (err=1.5e-015)
1. PDA (f2c): elapsed time t=72.024 s, 1 iters, t-(init.)=69.26 s
    t(norm)=0.211214, mflops=23.6727 (err=1.5e-015)
2. Singleton (f2c): elapsed time t=104.971 s, 1 iters, t-(init.)=102.217 s
    t(norm)=0.311718, mflops=16.0401 (err=2.1e-015)
3. Temperton (f2c): elapsed time t=47.018 s, 1 iters, t-(init.)=44.264 s
    t(norm)=0.134986, mflops=37.0408 (err=1.5e-015)

Top mflops for N=13824000 = 47.0196
Normalized results and averages for N=13824000:
  fft 0: mflops = 47.0196 (norm. = 1), norm. avg. (of 25) = 0.993423
  fft 1: mflops = 23.6727 (norm. = 0.503465), norm. avg. (of 25) = 0.304918
  fft 2: mflops = 16.0401 (norm. = 0.341137), norm. avg. (of 25) = 0.487137
  fft 3: mflops = 37.0408 (norm. = 0.787773), norm. avg. (of 15) = 0.751449

------------------------------------------------------
@@@@ bench.1d.p2.dat
N, Arndt DIF, Arndt DIT, Arndt Split-Radix, Arndt 4-step, Beauregard, Bergland, CWP (min N), CWP (best N), Edelblute, FFTPACK (f2c), FFTW, FFTW_ESTIMATE, Frigo-old, Green, GSL, GSL DIT, GSL DIF, Krukar, Mayer (Buneman), Mayer (simple), Mayer (lookup), NAPACK (f2c), Ooura (C), Ransom, Singleton (f2c), Temperton (f2c), Valkenburg
2, 39.5316, 42.7119, 34.635, 1.7453, 6.9812, 7.64826, 5.08031, 4.51972, , 11.3728, 25.8908, 25.5128, 69.9051, , 13.9624, 9.42964, 9.10222, 26.5127, , , , 4.39839, 28.2826, , 8.0474, 3.76644, 8.24352
4, 64.8771, 63.0249, 39.126, 7.93174, 7.93174, 25.8748, 17.3318, 6.34347, 39.1991, 29.4958, 41.8593, 41.943, 188.296, , 37.3824, 18.2044, 17.3032, 81.285, 51.6858, 54.7202, 52.6592, 7.9922, 39.4944, 5.78684, 25.2213, 12.9215, 8.51117
8, 91.7791, 89.6858, 38.5506, 8.72359, 11.8976, 46.1928, 37.1616, 19.1462, 32.0665, 33.0781, 54.6133, 49.5, 256.532, 104.77, 57.1951, 28.0368, 25.3279, 136.771, 74.7204, 73.4554, 77.5287, 10.5349, 48.6955, 6.7159, 24.5377, 26.1708, 8.62789
16, 46.7853, 48.1274, 38.0608, 15.2854, 14.0466, 61.1415, 64.4286, 30.1315, 29.9166, 45.516, 68.7591, 48.6861, 266.094, 98.6315, 86.3026, 39.5316, 36.7277, 164.161, 61.6356, 70.9696, 74.1043, 14.4432, 53.0589, 20.5201, 57.3776, 43.2402, 8.72359
32, 56.8951, 57.8365, 41.2176, 15.1353, 14.9711, 81.1591, 57.2367, 57.5193, 32.3236, 39.0677, 82.4352, 50.4123, 252.062, 116.963, 83.7521, 51.8071, 47.6625, 177.424, 73.2758, 91.0222, 92.6304, 15.7633, 53.3898, 20.448, 70.2799, 52.3242, 9.027
64, 52.825, 55.0916, 44.2437, 22.2785, 14.6722, 89.1141, 66.1562, 54.1433, 34.8944, 45.1972, 85.5399, 53.6814, 154.108, 143.723, 102.3, 57.0913, 52.7807, 41.3368, 71.7793, 91.7122, 92.3856, 18.7023, 57.6141, 38.2925, 89.1141, 70.178, 9.2904
128, 60.6113, 62.6283, 48.2262, 20.0219, 14.4262, 95.2015, 67.2164, 71.8203, 38.1697, 43.3552, 87.2774, 59.0985, 170.401, 121.123, 111.044, 64.3862, 58.6265, 34.9193, 79.2232, 102.443, 105.46, 18.8884, 55.9454, 35.9101, 90.4502, 71.1243, 9.34798
256, 60.699, 62.9775, 52.6592, 24.0637, 14.3444, 105.385, 77.6004, 78.9888, 41.4457, 46.7853, 90.5408, 63.9376, 176.417, 128.857, 122.283, 68.2001, 62.9775, 44.787, 81.3638, 107.409, 110.231, 20.7228, 60.263, 52.6592, 106.657, 82.8914, 9.52385
512, 68.2864, 70.3218, 54.5187, 23.3363, 14.3684, 110.96, 83.3673, 84.2606, 43.2105, 39.6187, 85.0197, 61.2009, 133.577, 140.644, 103.648, 68.2864, 65.4451, 43.6502, 88.8624, 118.483, 120.912, 20.1305, 59.2416, 50.1444, 110.183, 76.6627, 9.34745
1024, 66.6609, 70.7541, 57.5193, 27.8432, 14.147, 106.78, 85.1808, 85.1117, 45.5111, 35.6174, 75.3287, 62.6764, 83.0884, 112.087, 75.8738, 65.9067, 63.8597, 36.8698, 91.0222, 120.319, 117.619, 17.8087, 59.8161, 60.5064, 109, 72.7168, 8.96525
2048, 41.4011, 41.7306, 29.6665, 22.6697, 13.0834, 73.327, 66.1752, 67.7295, 26.4064, 34.9102, 75.8339, 59.9498, 81.1135, 89.275, 81.6879, 36.4319, 36.6635, 36.6868, 84.6868, 109.746, 90.0417, 17.236, 51.4008, 47.5839, 61.9127, 58.1368, 8.5668
4096, 37.1616, 37.1616, 27.8137, 25.7425, 12.9774, 81.0233, 61.5602, 71.0498, 25.1256, 35.8897, 76.1217, 64.7269, 82.0803, 93.0689, 82.6735, 35.9101, 36.3038, 37.3824, 45.8561, 49.8531, 46.5344, 18.2679, 54.1433, 63.4219, 75.2567, 60.4948, 8.72359
8192, 38.4636, 37.8022, 27.9105, 23.798, 12.8891, 72.8567, 66.6903, 65.4102, 25.2062, 32.425, 72.4694, 66.6903, 75.2705, 86.7695, 70.8497, 35.6659, 36.005, , 44.2007, 48.2701, 44.7815, 17.7216, 51.9493, 55.7753, 70.1208, 55.8668, 8.59705
16384, 35.9101, 35.2209, 27.9727, 29.081, 12.9044, 74.8219, 67.8376, 68.4704, 25.4509, 27.5527, 58.6265, 48.5131, 55.1053, 80.527, 49.1959, 35.2209, 35.9101, , 43.8735, 47.2636, 44.4043, 16.2247, 54.7355, 69.7722, 75.5147, 55.9454, 8.03419
32768, 32.2308, 31.407, 24.8399, 24.9978, 12.265, 66.534, 67.2164, 67.1017, 23.1032, 22.431, 50.3478, 45.9096, 40.8748, 69.5958, 29.5207, 29.5207, 29.744, , 42.9041, 45.9633, 40.5377, 9.90968, 45.9633, 52.0127, 51.3337, 42.2132, 6.8648
65536, 14.9583, 14.6449, 12.2497, 22.0521, 10.4753, 34.6065, 46.6034, 46.5, 11.8283, 22.0405, 50.1411, 38.8002, 36.7277, 38.7644, 30.3495, 13.7789, 14.056, , 33.7706, 35.7876, 32.2143, 9.78149, 33.5008, 37.1177, 29.1069, 26.8521, 5.78684
131072, 13.4799, 13.415, 10.1283, 17.3808, 10.2118, 31.5612, 44.4755, 44.9692, 9.67111, 19.1758, 47.816, 39.7188, 34.254, 32.9619, 25.5824, 12.0968, 12.497, , 16.2407, 16.4809, 15.6696, 9.42565, 30.6918, 30.2748, 23.418, 22.7138, 5.70462
262144, 12.2054, 12.1425, 9.69308, 21.2167, 10.1957, 32.4972, 32.0557, 32.0339, 9.42587, 19.4661, 47.0917, 39.652, 31.2076, 33.6322, 26.7798, 12.0188, 12.2688, , 14.1106, 14.2728, 13.6139, 9.69308, 32.0557, 39.2562, 25.0722, 23.5459, 5.64966
524288, 12.6865, 12.6865, 9.40116, 16.9817, 10.2127, 28.5757, 33.6082, 33.3829, 9.17601, 20.214, 46.4621, 38.5506, 29.264, 31.6841, 27.7788, 11.7609, 12.0424, , 13.6646, 13.8933, 13.2961, 9.40116, 31.0713, 31.8869, 20.6413, 22.0973, 5.54462
1048576, 11.8043, 11.8189, 9.36647, 23.071, 10.1646, 29.5041, , , 9.16187, 19.6473, 46.1115, 39.0677, 24.1218, , 29.3226, 11.6872, 11.9265, , , 13.5808, 13.0713, 9.71353, 32.1157, 39.961, 24.2951, 23.3172, 5.46817
2097152, 12.4654, 12.4372, 9.33728, 18.2331, 10.1513, , , , 9.109, 17.8633, 46.4755, 38.3025, 23.3685, , 26.0809, 11.9564, 11.872, , , 13.6229, 13.1581, 9.44056, 31.2785, 29.4701, 22.9975, 21.9455, 5.33575

Norm. Avg., 0.357953, 0.362238, 0.274182, 0.238291, 0.134419, 0.597406, 0.549895, 0.539836, 0.231214, 0.305062, 0.666554, 0.54273, 0.817514, 0.77768, 0.554391, 0.304782, 0.298832, 0.395392, 0.46724, 0.521991, 0.499541, 0.143794, 0.485496, 0.479898, 0.531763, 0.436933, 0.0834359

------------------------------------------------------
@@@@ bench.1d.np2.dat
N, CWP (min N), CWP (best N), FFTPACK (f2c), FFTW, FFTW_ESTIMATE, Frigo-old, GSL, NAPACK (f2c), Singleton (f2c), Temperton (f2c), Valkenburg
6, 21.5806, 12.2982, 26.367, 47.4976, 47.7767, 21.719, 40.9858, 9.66206, 17.6467, 15.0362, 8.75494
9, 37.0237, 22.4858, 31.9606, 45.8259, 41.7111, 18.4935, 42.4208, 11.5271, 30.3522, 29.1685, 8.9803
12, 42.0168, 34.153, 37.2927, 61.1568, 54.6912, 31.4482, 61.8274, 12.0381, 33.9474, 32.9169, 8.7394
15, 46.4686, 46.4686, 37.9884, 52.9012, 49.4608, 20.6153, 50.1715, 8.79265, 34.8514, 35.5614, 8.19247
18, 46.3623, 35.3126, 30.3083, 64.2173, 47.2077, 21.7272, 70.7267, 13.566, 43.4929, 36.3566, 9.16364
24, 60.4993, 51.8069, 34.2753, 62.6, 59.0141, 39.1293, 91.1121, 14.7535, 42.0988, 50.3598, 9.0054
36, 66.5433, 66.5433, 35.8325, 69.1854, 63.396, 26.7252, 98.2076, 15.9401, 62.7437, 61.4787, 9.27981
80, 88.4813, 71.3719, 44.9608, 75.1931, 62.6799, 46.0093, 87.1323, 11.8851, 88.1519, 56.2926, 8.8453
108, 68.5748, 85.2538, 37.3052, 71.8736, 69.0103, 24.8598, 103.845, 17.8717, 72.3522, 72.8372, 9.50428
210, 73.6049, 73.6049, 25.0964, 70.8541, 64.3597, 22.992, 94.6574, 9.46304, 62.5399, , 7.67286
504, 86.4391, 87.2531, 25.1528, 64.3045, 61.6929, 26.5967, 94.4575, 12.4346, 71.7204, , 8.26166
1000, 74.9263, 90.1499, 34.4297, 69.8014, 66.612, 26.3967, 71.2637, 9.57673, 87.898, 73.8955, 8.06334
1960, 76.0578, 75.5863, 18.1467, 68.084, 66.8808, 23.4111, 73.5106, 8.6664, 57.0433, , 7.17142
4725, 67.603, 76.7385, 24.7394, 62.4556, 65.7954, 18.997, 82.807, 9.70327, 54.2414, , 7.74145
10368, 67.9853, 74.2591, 32.2583, 65.471, 59.6877, 28.517, 86.6114, 17.4109, 52.5947, 58.1582, 8.69859
27000, 72.9699, 72.5951, 23.8714, 50.7934, 50.3909, 17.7437, 42.9105, 8.48816, 51.2023, 56.1778, 7.2134
75600, 47.9523, 48.474, 15.8908, 50.5229, 51.5866, 16.3031, 30.9585, 7.32326, 23.7438, , 6.30562
165375, 40.8673, 41.2198, 10.3721, 46.9974, 46.9204, 11.9253, 31.8361, 6.53634, 21.5228, , 6.22144
362880, 22.7652, 22.9053, 15.2113, 53.1068, 45.5614, 15.3436, 33.7806, 7.85523, 17.6092, , 5.7499

Norm. Avg., 0.780422, 0.751267, 0.398578, 0.847849, 0.791856, 0.33212, 0.893442, 0.155391, 0.63196, 0.620607, 0.11567

------------------------------------------------------
@@@@ bench.3d.p2.dat
Array Dimensions, FFTW, HARM (f2c), PDA (f2c), Singleton (f2c), Temperton (f2c)
4x4x4, 135.01, , 14.2858, 111.156, 64.7936
8x8x8, 165.275, 120.757, 21.6251, 101.858, 121.535
16x16x16, 57.0913, 113.156, 27.7891, 67.1805, 91.0486
32x32x32, 63.3708, 86.7548, 24.8556, 51.671, 72.0176
64x64x64, 41.6837, 41.7575, 20.48, 20.8418, 39.5855
256x64x32, 43.6907, 38.8513, 21.078, 19.5784, 40.7589
16x1024x64, 44.356, 40.7531, 19.1451, 21.8135,
128x128x128, 45.628, 36.8969, 22.6242, 15.0719, 29.5096
512x128x64, 45.4779, 38.1742, 22.2124, 17.6528,
256x128x256, 46.8751, 40.1052, 24.005, 18.4962, 33.2056

Norm. Avg., 0.923323, 0.893586, 0.366962, 0.5181, 0.760755

------------------------------------------------------
@@@@ bench.3d.np2.dat
Array Dimensions, FFTW, PDA (f2c), Singleton (f2c), Temperton (f2c)
5x5x5, 112.242, 16.33, 134.331, 69.1849
6x6x6, 145.669, 17.2909, 81.0517, 82.0207
7x7x7, 114.766, 10.0411, 83.2095,
9x9x9, 128.839, 22.0056, 109.892, 99.8454
10x10x10, 141.539, 24.0456, 87.8224, 83.6472
11x11x11, 99.4728, 9.75251, 63.6018,
12x12x12, 152.001, 25.5374, 66.0322, 99.95
13x13x13, 92.2947, 9.33015, 55.6483,
14x14x14, 114.459, 13.9202, 56.0307,
15x15x15, 122.525, 26.0593, 65.6297, 82.8696
24x25x28, 73.1187, 23.2609, 55.4027,
48x48x48, 47.4205, 24.0332, 20.9019, 46.8214
49x49x49, 62.3175, 11.6433, 27.8524,
60x60x60, 50.9337, 24.8227, 17.0725, 44.952
72x60x56, 52.0329, 21.167, 16.253,
75x75x75, 58.3088, 25.3974, 22.2568, 49.4874
80x80x80, 49.5433, 25.9223, 20.8201, 43.7015
84x84x84, 56.7178, 17.6221, 16.449,
96x96x96, 51.3149, 21.6525, 16.1294, 34.7887
105x105x105, 57.6316, 18.1886, 21.6025,
112x112x112, 49.8983, 18.3638, 21.4116,
120x120x120, 52.2553, 25.7555, 13.7617, 40.0776
144x144x144, 50.0295, 23.8783, 16.3763, 39.3988
180x180x180, 51.5688, 25.7035, 14.7793, 45.0129
240x240x240, 47.0196, 23.6727, 16.0401, 37.0408

Norm. Avg., 0.993423, 0.304918, 0.487137, 0.751449
@@@@ end