To: benchfft@theory.lcs.mit.edu
Subject: SUBMIT
-------------------
@@SUBMIT@@
@ submitter = James Daryl Forrest
@ submitter email = PRIVATE
@ submitter organization = NONE
@ computer manufacturer = Apple
@ computer model = Power Macintosh 8600/300
@ CPU manufacturer = Motorola
@ CPU model = PowerPC 604e
@ CPU speed = 300 MHz
@ RAM = 128 MB
@ L2 cache size = 1 MB
@ operating system = Mac OS 8.0
@ C compiler = Metrowerks Codewarrior Pro 2
@ C compiler flags = all
@ Fortran compiler = NONE
@ Fortran compiler flags = NONE
@ remarks = no extensions enabled, VM off
@ 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)
Maximum array size = 1048576

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. Nielsen
23. NR (C)
24. Ooura (C)
25. QFT
26. Ransom
27. Singleton (f2c)
28. Temperton (f2c)
29. Valkenburg


Computing normalized averages (30 transforms).

Benchmarking for array size = 2 (power of 2):
0. Arndt DIF: elapsed time t=1.46649 s, 4194304 iters, t-(init.)=1.19853 s
    t(norm)=0.142876, mflops=34.9955 (err=1.7e-17)
1. Arndt DIT: elapsed time t=1.52322 s, 4194304 iters, t-(init.)=1.25541 s
    t(norm)=0.149656, mflops=33.41 (err=1.7e-17)
2. Arndt Split-Radix: elapsed time t=1.19154 s, 2097152 iters, 
t-(init.)=1.05748 s
    t(norm)=0.252122, mflops=19.8316 (err=1.7e-17)
3. Arndt 4-step: elapsed time t=1.87441 s, 262144 iters, t-(init.)=1.8576 
s
    t(norm)=3.54308, mflops=1.4112 (err=1.7e-17)
4. Beauregard: elapsed time t=1.08605 s, 524288 iters, t-(init.)=1.05257 s
    t(norm)=1.00381, mflops=4.98101 (err=1.7e-17)
5. Bergland: elapsed time t=1.91183 s, 1048576 iters, t-(init.)=1.84485 s
    t(norm)=0.879694, mflops=5.68379 (err=1.7e-17)
6. CWP (min N): elapsed time t=1.08779 s, 524288 iters, t-(init.)=1.05425 
s
    t(norm)=1.00541, mflops=4.97309
7. CWP (best N) (N=3): elapsed time t=1.15999 s, 524288 iters, 
t-(init.)=1.11941 s
    t(norm)=1.06755, mflops=4.68362
8. Skipping fft (Edelblute can't handle N <= 2).
9. FFTPACK (f2c): elapsed time t=1.48785 s, 1048576 iters, 
t-(init.)=1.41738 s
    t(norm)=0.67586, mflops=7.39798 (err=1.7e-17)

FFTW_MEASURE plan: (cost = 3.225899e-07)
FFTW_NOTW 2

10. FFTW: elapsed time t=1.46674 s, 4194304 iters, t-(init.)=1.18484 s
    t(norm)=0.141244, mflops=35.3998 (err=1.7e-17)

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

11. FFTW_ESTIMATE: elapsed time t=1.43852 s, 4194304 iters, 
t-(init.)=1.17061 s
    t(norm)=0.139548, mflops=35.83 (err=1.7e-17)
12. Frigo-old: elapsed time t=1.04369 s, 4194304 iters, t-(init.)=0.77589 
s
    t(norm)=0.0924933, mflops=54.058 (err=1.7e-17)
13. Skipping fft (Green can't handle this size.).
14. GSL: elapsed time t=1.69248 s, 2097152 iters, t-(init.)=1.55857 s
    t(norm)=0.371593, mflops=13.4556 (err=1.7e-17)
15. GSL DIT: elapsed time t=1.24791 s, 1048576 iters, t-(init.)=1.17725 s
    t(norm)=0.561357, mflops=8.90698 (err=1.7e-17)
16. GSL DIF: elapsed time t=1.29057 s, 1048576 iters, t-(init.)=1.22357 s
    t(norm)=0.583443, mflops=8.56982 (err=1.7e-17)
17. Krukar: elapsed time t=1.67842 s, 4194304 iters, t-(init.)=1.41061 s
    t(norm)=0.168158, mflops=29.7339 (err=1.7e-17)
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=1.59944 s, 524288 iters, 
t-(init.)=1.56582 s
    t(norm)=1.49328, mflops=3.34833 (err=1.7e-17)
22. Nielsen: elapsed time t=1.05438 s, 262144 iters, t-(init.)=1.03762 s
    t(norm)=1.9791, mflops=2.5264 (err=1.7e-17)
23. NR (C): elapsed time t=1.06211 s, 1048576 iters, t-(init.)=0.995131 s
    t(norm)=0.474515, mflops=10.5371 (err=1.7e-17)
24. Ooura (C): elapsed time t=1.53706 s, 4194304 iters, t-(init.)=1.26889 
s
    t(norm)=0.151264, mflops=33.0549 (err=1.7e-17)
25. Skipping fft (QFT requires N >= 16).
26. Skipping fft (Ransom doesn't work for N=2).
27. Singleton (f2c): elapsed time t=1.517 s, 1048576 iters, 
t-(init.)=1.45001 s
    t(norm)=0.69142, mflops=7.23149 (err=1.7e-17)
28. Temperton (f2c): elapsed time t=1.61122 s, 524288 iters, 
t-(init.)=1.5777 s
    t(norm)=1.50462, mflops=3.32311 (err=1.7e-17)
29. Valkenburg: elapsed time t=1.28007 s, 1048576 iters, 
t-(init.)=1.20954 s
    t(norm)=0.576755, mflops=8.66919 (err=1.7e-17)

Top mflops for N=2 = 54.058
Normalized results and averages for N=2:
  fft 0: mflops = 34.9955 (norm. = 0.64737), norm. avg. (of 1) = 0.64737
  fft 1: mflops = 33.41 (norm. = 0.61804), norm. avg. (of 1) = 0.61804
  fft 2: mflops = 19.8316 (norm. = 0.366859), norm. avg. (of 1) = 0.366859
  fft 3: mflops = 1.4112 (norm. = 0.0261053), norm. avg. (of 1) = 
0.0261053
  fft 4: mflops = 4.98101 (norm. = 0.092142), norm. avg. (of 1) = 0.092142
  fft 5: mflops = 5.68379 (norm. = 0.105143), norm. avg. (of 1) = 0.105143
  fft 6: mflops = 4.97309 (norm. = 0.0919954), norm. avg. (of 1) = 
0.0919954
  fft 7: mflops = 4.68362 (norm. = 0.0866407), norm. avg. (of 1) = 
0.0866407
  fft 8: mflops = -1 (norm. = -0.0184987), norm. avg. (of 0) = -1
  fft 9: mflops = 7.39798 (norm. = 0.136853), norm. avg. (of 1) = 0.136853
  fft 10: mflops = 35.3998 (norm. = 0.65485), norm. avg. (of 1) = 0.65485
  fft 11: mflops = 35.83 (norm. = 0.662807), norm. avg. (of 1) = 0.662807
  fft 12: mflops = 54.058 (norm. = 1), norm. avg. (of 1) = 1
  fft 13: mflops = -1 (norm. = -0.0184987), norm. avg. (of 0) = -1
  fft 14: mflops = 13.4556 (norm. = 0.248911), norm. avg. (of 1) = 
0.248911
  fft 15: mflops = 8.90698 (norm. = 0.164767), norm. avg. (of 1) = 
0.164767
  fft 16: mflops = 8.56982 (norm. = 0.15853), norm. avg. (of 1) = 0.15853
  fft 17: mflops = 29.7339 (norm. = 0.550037), norm. avg. (of 1) = 
0.550037
  fft 18: mflops = -1 (norm. = -0.0184987), norm. avg. (of 0) = -1
  fft 19: mflops = -1 (norm. = -0.0184987), norm. avg. (of 0) = -1
  fft 20: mflops = -1 (norm. = -0.0184987), norm. avg. (of 0) = -1
  fft 21: mflops = 3.34833 (norm. = 0.0619397), norm. avg. (of 1) = 
0.0619397
  fft 22: mflops = 2.5264 (norm. = 0.046735), norm. avg. (of 1) = 0.046735
  fft 23: mflops = 10.5371 (norm. = 0.194922), norm. avg. (of 1) = 
0.194922
  fft 24: mflops = 33.0549 (norm. = 0.61147), norm. avg. (of 1) = 0.61147
  fft 25: mflops = -1 (norm. = -0.0184987), norm. avg. (of 0) = -1
  fft 26: mflops = -1 (norm. = -0.0184987), norm. avg. (of 0) = -1
  fft 27: mflops = 7.23149 (norm. = 0.133773), norm. avg. (of 1) = 
0.133773
  fft 28: mflops = 3.32311 (norm. = 0.061473), norm. avg. (of 1) = 
0.061473
  fft 29: mflops = 8.66919 (norm. = 0.160368), norm. avg. (of 1) = 
0.160368

Benchmarking for array size = 4 (power of 2):
0. Arndt DIF: elapsed time t=1.37541 s, 2097152 iters, t-(init.)=1.1851 s
    t(norm)=0.0706376, mflops=70.7838 (err=1.3e-16)
1. Arndt DIT: elapsed time t=1.35476 s, 2097152 iters, t-(init.)=1.16443 s
    t(norm)=0.0694057, mflops=72.0402 (err=1.3e-16)
2. Arndt Split-Radix: elapsed time t=1.41541 s, 1048576 iters, 
t-(init.)=1.32023 s
    t(norm)=0.157384, mflops=31.7694 (err=1.3e-16)
3. Arndt 4-step: elapsed time t=1.62427 s, 262144 iters, 
t-(init.)=1.60048 s
    t(norm)=0.76317, mflops=6.55162 (err=1.3e-16)
4. Beauregard: elapsed time t=1.85332 s, 524288 iters, t-(init.)=1.80577 s
    t(norm)=0.430529, mflops=11.6136 (err=5.3e-17)
5. Bergland: elapsed time t=1.08036 s, 524288 iters, t-(init.)=1.03274 s
    t(norm)=0.246224, mflops=20.3067 (err=5.3e-17)
6. CWP (min N): elapsed time t=1.14767 s, 524288 iters, t-(init.)=1.10004 
s
    t(norm)=0.26227, mflops=19.0643
7. CWP (best N) (N=15): elapsed time t=1.16458 s, 262144 iters, 
t-(init.)=1.10201 s
    t(norm)=0.525477, mflops=9.51516
8. Edelblute: elapsed time t=1.51523 s, 1048576 iters, t-(init.)=1.42003 s
    t(norm)=0.169281, mflops=29.5366 (err=1.3e-16)
9. FFTPACK (f2c): elapsed time t=1.16545 s, 524288 iters, 
t-(init.)=1.11607 s
    t(norm)=0.266091, mflops=18.7906 (err=5.3e-17)

FFTW_MEASURE plan: (cost = 4.071503e-07)
FFTW_NOTW 4

10. FFTW: elapsed time t=1.8473 s, 4194304 iters, t-(init.)=1.4523 s
    t(norm)=0.0432819, mflops=115.522 (err=5.3e-17)

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

11. FFTW_ESTIMATE: elapsed time t=1.81891 s, 4194304 iters, 
t-(init.)=1.438 s
    t(norm)=0.0428557, mflops=116.671 (err=5.3e-17)
12. Frigo-old: elapsed time t=1.35377 s, 4194304 iters, 
t-(init.)=0.972778 s
    t(norm)=0.028991, mflops=172.467 (err=5.3e-17)
13. Skipping fft (Green can't handle this size.).
14. GSL: elapsed time t=1.30136 s, 1048576 iters, t-(init.)=1.20584 s
    t(norm)=0.143747, mflops=34.7833 (err=5.3e-17)
15. GSL DIT: elapsed time t=1.19875 s, 524288 iters, t-(init.)=1.14927 s
    t(norm)=0.274007, mflops=18.2477 (err=6.4e-17)
16. GSL DIF: elapsed time t=1.23602 s, 524288 iters, t-(init.)=1.18831 s
    t(norm)=0.283315, mflops=17.6482 (err=6.4e-17)
17. Krukar: elapsed time t=1.19865 s, 2097152 iters, t-(init.)=1.00821 s
    t(norm)=0.0600942, mflops=83.2027 (err=5.3e-17)
18. Mayer (Buneman): elapsed time t=1.26951 s, 1048576 iters, 
t-(init.)=1.17433 s
    t(norm)=0.139991, mflops=35.7165 (err=1.3e-16)
19. Mayer (simple): elapsed time t=1.24451 s, 1048576 iters, 
t-(init.)=1.14939 s
    t(norm)=0.137018, mflops=36.4916
20. Mayer (lookup): elapsed time t=1.33027 s, 1048576 iters, 
t-(init.)=1.2351 s
    t(norm)=0.147236, mflops=33.9592 (err=1.3e-16)
21. NAPACK (f2c): elapsed time t=1.42925 s, 262144 iters, 
t-(init.)=1.40538 s
    t(norm)=0.670138, mflops=7.46115 (err=5.3e-17)
22. Nielsen: elapsed time t=1.16287 s, 262144 iters, t-(init.)=1.13901 s
    t(norm)=0.543121, mflops=9.20605 (err=1.3e-16)
23. NR (C): elapsed time t=1.13513 s, 524288 iters, t-(init.)=1.08753 s
    t(norm)=0.259288, mflops=19.2836 (err=6.4e-17)
24. Ooura (C): elapsed time t=1.50211 s, 2097152 iters, t-(init.)=1.31175 
s
    t(norm)=0.0781865, mflops=63.9496 (err=5.3e-17)
25. Skipping fft (QFT requires N >= 16).
26. Ransom: elapsed time t=1.97389 s, 262144 iters, t-(init.)=1.95008 s
    t(norm)=0.92987, mflops=5.37709 (err=2.4e-16)
27. Singleton (f2c): elapsed time t=1.7464 s, 1048576 iters, 
t-(init.)=1.65111 s
    t(norm)=0.196827, mflops=25.403 (err=5.3e-17)
28. Temperton (f2c): elapsed time t=1.02817 s, 262144 iters, 
t-(init.)=1.00434 s
    t(norm)=0.478905, mflops=10.4405 (err=5.3e-17)
29. Valkenburg: elapsed time t=1.16 s, 262144 iters, t-(init.)=1.13532 s
    t(norm)=0.541365, mflops=9.23592 (err=5.3e-17)

Top mflops for N=4 = 172.467
Normalized results and averages for N=4:
  fft 0: mflops = 70.7838 (norm. = 0.41042), norm. avg. (of 2) = 0.528895
  fft 1: mflops = 72.0402 (norm. = 0.417704), norm. avg. (of 2) = 0.517872
  fft 2: mflops = 31.7694 (norm. = 0.184206), norm. avg. (of 2) = 0.275532
  fft 3: mflops = 6.55162 (norm. = 0.0379877), norm. avg. (of 2) = 
0.0320465
  fft 4: mflops = 11.6136 (norm. = 0.0673381), norm. avg. (of 2) = 
0.0797401
  fft 5: mflops = 20.3067 (norm. = 0.117743), norm. avg. (of 2) = 0.111443
  fft 6: mflops = 19.0643 (norm. = 0.110539), norm. avg. (of 2) = 0.101267
  fft 7: mflops = 9.51516 (norm. = 0.0551709), norm. avg. (of 2) = 
0.0709058
  fft 8: mflops = 29.5366 (norm. = 0.17126), norm. avg. (of 1) = 0.17126
  fft 9: mflops = 18.7906 (norm. = 0.108952), norm. avg. (of 2) = 0.122902
  fft 10: mflops = 115.522 (norm. = 0.66982), norm. avg. (of 2) = 0.662335
  fft 11: mflops = 116.671 (norm. = 0.676481), norm. avg. (of 2) = 
0.669644
  fft 12: mflops = 172.467 (norm. = 1), norm. avg. (of 2) = 1
  fft 13: mflops = -1 (norm. = -0.00579821), norm. avg. (of 0) = -1
  fft 14: mflops = 34.7833 (norm. = 0.201681), norm. avg. (of 2) = 
0.225296
  fft 15: mflops = 18.2477 (norm. = 0.105804), norm. avg. (of 2) = 
0.135286
  fft 16: mflops = 17.6482 (norm. = 0.102328), norm. avg. (of 2) = 
0.130429
  fft 17: mflops = 83.2027 (norm. = 0.482427), norm. avg. (of 2) = 
0.516232
  fft 18: mflops = 35.7165 (norm. = 0.207092), norm. avg. (of 1) = 
0.207092
  fft 19: mflops = 36.4916 (norm. = 0.211586), norm. avg. (of 1) = 
0.211586
  fft 20: mflops = 33.9592 (norm. = 0.196903), norm. avg. (of 1) = 
0.196903
  fft 21: mflops = 7.46115 (norm. = 0.0432613), norm. avg. (of 2) = 
0.0526005
  fft 22: mflops = 9.20605 (norm. = 0.0533786), norm. avg. (of 2) = 
0.0500568
  fft 23: mflops = 19.2836 (norm. = 0.11181), norm. avg. (of 2) = 0.153366
  fft 24: mflops = 63.9496 (norm. = 0.370793), norm. avg. (of 2) = 
0.491132
  fft 25: mflops = -1 (norm. = -0.00579821), norm. avg. (of 0) = -1
  fft 26: mflops = 5.37709 (norm. = 0.0311775), norm. avg. (of 1) = 
0.0311775
  fft 27: mflops = 25.403 (norm. = 0.147292), norm. avg. (of 2) = 0.140532
  fft 28: mflops = 10.4405 (norm. = 0.0605361), norm. avg. (of 2) = 
0.0610045
  fft 29: mflops = 9.23592 (norm. = 0.0535518), norm. avg. (of 2) = 
0.10696

Benchmarking for array size = 8 (power of 2):
0. Arndt DIF: elapsed time t=1.28032 s, 1048576 iters, t-(init.)=1.12877 s
    t(norm)=0.0448535, mflops=111.474 (err=1.1e-16)
1. Arndt DIT: elapsed time t=1.28018 s, 1048576 iters, t-(init.)=1.12828 s
    t(norm)=0.0448338, mflops=111.523 (err=1.1e-16)
2. Arndt Split-Radix: elapsed time t=1.60686 s, 524288 iters, 
t-(init.)=1.5311 s
    t(norm)=0.121681, mflops=41.091 (err=7.7e-17)
3. Arndt 4-step: elapsed time t=1.80393 s, 131072 iters, 
t-(init.)=1.78472 s
    t(norm)=0.567348, mflops=8.81294 (err=9.0e-17)
4. Beauregard: elapsed time t=1.95397 s, 262144 iters, t-(init.)=1.91606 s
    t(norm)=0.30455, mflops=16.4177 (err=1.5e-16)
5. Bergland: elapsed time t=1.81517 s, 524288 iters, t-(init.)=1.73935 s
    t(norm)=0.138231, mflops=36.1713 (err=1.6e-16)
6. CWP (min N): elapsed time t=1.42858 s, 524288 iters, t-(init.)=1.35283 
s
    t(norm)=0.107513, mflops=46.5059
7. CWP (best N) (N=15): elapsed time t=1.16334 s, 262144 iters, 
t-(init.)=1.10043 s
    t(norm)=0.174909, mflops=28.5862
8. Edelblute: elapsed time t=1.99244 s, 524288 iters, t-(init.)=1.91656 s
    t(norm)=0.152314, mflops=32.8268 (err=8.3e-17)
9. FFTPACK (f2c): elapsed time t=1.04544 s, 262144 iters, 
t-(init.)=1.00668 s
    t(norm)=0.160007, mflops=31.2487 (err=1.5e-16)

FFTW_MEASURE plan: (cost = 7.195587e-07)
FFTW_NOTW 8

10. FFTW: elapsed time t=1.60798 s, 2097152 iters, t-(init.)=1.29779 s
    t(norm)=0.0257847, mflops=193.913 (err=1.4e-16)

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

11. FFTW_ESTIMATE: elapsed time t=1.59364 s, 2097152 iters, 
t-(init.)=1.29021 s
    t(norm)=0.0256341, mflops=195.053 (err=1.4e-16)
12. Frigo-old: elapsed time t=1.27673 s, 2097152 iters, 
t-(init.)=0.973303 s
    t(norm)=0.0193378, mflops=258.561 (err=1.4e-16)
13. Green: elapsed time t=1.66409 s, 1048576 iters, t-(init.)=1.51244 s
    t(norm)=0.060099, mflops=83.1961 (err=1.4e-16)
14. GSL: elapsed time t=1.34986 s, 524288 iters, t-(init.)=1.27404 s
    t(norm)=0.101251, mflops=49.3821 (err=1.4e-16)
15. GSL DIT: elapsed time t=1.02961 s, 262144 iters, t-(init.)=0.990765 s
    t(norm)=0.157478, mflops=31.7505 (err=1.5e-16)
16. GSL DIF: elapsed time t=1.05696 s, 262144 iters, t-(init.)=1.01899 s
    t(norm)=0.161964, mflops=30.871 (err=1.6e-16)
17. Krukar: elapsed time t=1.24851 s, 1048576 iters, t-(init.)=1.09699 s
    t(norm)=0.0435906, mflops=114.704 (err=1.5e-16)
18. Mayer (Buneman): elapsed time t=1.12255 s, 524288 iters, 
t-(init.)=1.04668 s
    t(norm)=0.0831825, mflops=60.1088 (err=1.1e-16)
19. Mayer (simple): elapsed time t=1.12051 s, 524288 iters, 
t-(init.)=1.04471 s
    t(norm)=0.0830262, mflops=60.222
20. Mayer (lookup): elapsed time t=1.15951 s, 524288 iters, 
t-(init.)=1.08367 s
    t(norm)=0.0861227, mflops=58.0567 (err=1.1e-16)
21. NAPACK (f2c): elapsed time t=1.42417 s, 131072 iters, 
t-(init.)=1.40519 s
    t(norm)=0.446698, mflops=11.1932 (err=1.7e-16)
22. Nielsen: elapsed time t=1.58319 s, 262144 iters, t-(init.)=1.54528 s
    t(norm)=0.245615, mflops=20.357 (err=7.5e-16)
23. NR (C): elapsed time t=1.99013 s, 524288 iters, t-(init.)=1.91438 s
    t(norm)=0.152142, mflops=32.8641 (err=1.6e-16)
24. Ooura (C): elapsed time t=1.21639 s, 1048576 iters, t-(init.)=1.06442 
s
    t(norm)=0.0422962, mflops=118.214 (err=1.5e-16)
25. Skipping fft (QFT requires N >= 16).
26. Ransom: elapsed time t=1.26027 s, 65536 iters, t-(init.)=1.25079 s
    t(norm)=0.795228, mflops=6.2875 (err=3.1e-16)
27. Singleton (f2c): elapsed time t=1.13403 s, 262144 iters, 
t-(init.)=1.09612 s
    t(norm)=0.174224, mflops=28.6987 (err=1.4e-16)
28. Temperton (f2c): elapsed time t=1.08385 s, 131072 iters, 
t-(init.)=1.0649 s
    t(norm)=0.338522, mflops=14.7701 (err=1.4e-16)
29. Valkenburg: elapsed time t=1.63856 s, 131072 iters, t-(init.)=1.6193 s
    t(norm)=0.514763, mflops=9.7132 (err=1.4e-16)

Top mflops for N=8 = 258.561
Normalized results and averages for N=8:
  fft 0: mflops = 111.474 (norm. = 0.431132), norm. avg. (of 3) = 0.496307
  fft 1: mflops = 111.523 (norm. = 0.431322), norm. avg. (of 3) = 0.489022
  fft 2: mflops = 41.091 (norm. = 0.158922), norm. avg. (of 3) = 0.236662
  fft 3: mflops = 8.81294 (norm. = 0.0340845), norm. avg. (of 3) = 
0.0327258
  fft 4: mflops = 16.4177 (norm. = 0.0634963), norm. avg. (of 3) = 
0.0743255
  fft 5: mflops = 36.1713 (norm. = 0.139895), norm. avg. (of 3) = 0.120927
  fft 6: mflops = 46.5059 (norm. = 0.179864), norm. avg. (of 3) = 0.127466
  fft 7: mflops = 28.5862 (norm. = 0.110559), norm. avg. (of 3) = 
0.0841235
  fft 8: mflops = 32.8268 (norm. = 0.12696), norm. avg. (of 2) = 0.14911
  fft 9: mflops = 31.2487 (norm. = 0.120856), norm. avg. (of 3) = 0.12222
  fft 10: mflops = 193.913 (norm. = 0.749971), norm. avg. (of 3) = 
0.691547
  fft 11: mflops = 195.053 (norm. = 0.754378), norm. avg. (of 3) = 
0.697889
  fft 12: mflops = 258.561 (norm. = 1), norm. avg. (of 3) = 1
  fft 13: mflops = 83.1961 (norm. = 0.321766), norm. avg. (of 1) = 
0.321766
  fft 14: mflops = 49.3821 (norm. = 0.190988), norm. avg. (of 3) = 0.21386
  fft 15: mflops = 31.7505 (norm. = 0.122797), norm. avg. (of 3) = 
0.131123
  fft 16: mflops = 30.871 (norm. = 0.119395), norm. avg. (of 3) = 0.126751
  fft 17: mflops = 114.704 (norm. = 0.443623), norm. avg. (of 3) = 
0.492029
  fft 18: mflops = 60.1088 (norm. = 0.232474), norm. avg. (of 2) = 
0.219783
  fft 19: mflops = 60.222 (norm. = 0.232912), norm. avg. (of 2) = 0.222249
  fft 20: mflops = 58.0567 (norm. = 0.224538), norm. avg. (of 2) = 0.21072
  fft 21: mflops = 11.1932 (norm. = 0.0432905), norm. avg. (of 3) = 
0.0494972
  fft 22: mflops = 20.357 (norm. = 0.0787321), norm. avg. (of 3) = 
0.0596152
  fft 23: mflops = 32.8641 (norm. = 0.127104), norm. avg. (of 3) = 
0.144612
  fft 24: mflops = 118.214 (norm. = 0.457199), norm. avg. (of 3) = 
0.479821
  fft 25: mflops = -1 (norm. = -0.00386756), norm. avg. (of 0) = -1
  fft 26: mflops = 6.2875 (norm. = 0.0243173), norm. avg. (of 2) = 
0.0277474
  fft 27: mflops = 28.6987 (norm. = 0.110994), norm. avg. (of 3) = 
0.130686
  fft 28: mflops = 14.7701 (norm. = 0.0571241), norm. avg. (of 3) = 
0.0597111
  fft 29: mflops = 9.7132 (norm. = 0.0375664), norm. avg. (of 3) = 
0.0838289

Benchmarking for array size = 16 (power of 2):
0. Arndt DIF: elapsed time t=1.20694 s, 262144 iters, t-(init.)=1.14055 s
    t(norm)=0.0679819, mflops=73.549 (err=1.9e-16)
1. Arndt DIT: elapsed time t=1.19935 s, 262144 iters, t-(init.)=1.13327 s
    t(norm)=0.0675482, mflops=74.0212 (err=1.9e-16)
2. Arndt Split-Radix: elapsed time t=1.74688 s, 262144 iters, 
t-(init.)=1.68078 s
    t(norm)=0.100182, mflops=49.909 (err=1.5e-16)
3. Arndt 4-step: elapsed time t=1.24059 s, 65536 iters, t-(init.)=1.22403 
s
    t(norm)=0.291831, mflops=17.1332 (err=2.0e-16)
4. Beauregard: elapsed time t=1.13941 s, 65536 iters, t-(init.)=1.12288 s
    t(norm)=0.267715, mflops=18.6766 (err=2.3e-16)
5. Bergland: elapsed time t=1.46042 s, 262144 iters, t-(init.)=1.3943 s
    t(norm)=0.0831069, mflops=60.1635 (err=2.6e-16)
6. CWP (min N): elapsed time t=1.07869 s, 262144 iters, t-(init.)=1.01258 
s
    t(norm)=0.0603547, mflops=82.8437
7. CWP (best N) (N=28): elapsed time t=1.49977 s, 262144 iters, 
t-(init.)=1.39139 s
    t(norm)=0.0829335, mflops=60.2893
8. Edelblute: elapsed time t=1.15813 s, 131072 iters, t-(init.)=1.12502 s
    t(norm)=0.134113, mflops=37.2819 (err=1.6e-16)
9. FFTPACK (f2c): elapsed time t=1.8753 s, 262144 iters, 
t-(init.)=1.80821 s
    t(norm)=0.107777, mflops=46.3919 (err=2.1e-16)

FFTW_MEASURE plan: (cost = 1.401611e-06)
FFTW_NOTW 16

10. FFTW: elapsed time t=1.54777 s, 1048576 iters, t-(init.)=1.27996 s
    t(norm)=0.0190729, mflops=262.152 (err=2.2e-16)

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

11. FFTW_ESTIMATE: elapsed time t=1.54096 s, 1048576 iters, 
t-(init.)=1.2764 s
    t(norm)=0.0190198, mflops=262.884 (err=2.2e-16)
12. Frigo-old: elapsed time t=1.47779 s, 1048576 iters, t-(init.)=1.21348 
s
    t(norm)=0.0180822, mflops=276.514 (err=2.2e-16)
13. Green: elapsed time t=1.40706 s, 524288 iters, t-(init.)=1.27489 s
    t(norm)=0.0379948, mflops=131.597 (err=2.6e-16)
14. GSL: elapsed time t=1.19625 s, 262144 iters, t-(init.)=1.13015 s
    t(norm)=0.0673623, mflops=74.2255 (err=2.1e-16)
15. GSL DIT: elapsed time t=1.87594 s, 262144 iters, t-(init.)=1.80897 s
    t(norm)=0.107823, mflops=46.3724 (err=3.1e-16)
16. GSL DIF: elapsed time t=1.90053 s, 262144 iters, t-(init.)=1.83443 s
    t(norm)=0.109341, mflops=45.7286 (err=2.5e-16)
17. Krukar: elapsed time t=1.39477 s, 524288 iters, t-(init.)=1.2625 s
    t(norm)=0.0376253, mflops=132.889 (err=1.7e-16)
18. Mayer (Buneman): elapsed time t=1.47781 s, 262144 iters, 
t-(init.)=1.41171 s
    t(norm)=0.0841443, mflops=59.4217 (err=2.3e-16)
19. Mayer (simple): elapsed time t=1.26187 s, 262144 iters, 
t-(init.)=1.19577 s
    t(norm)=0.0712732, mflops=70.1526
20. Mayer (lookup): elapsed time t=1.25872 s, 262144 iters, 
t-(init.)=1.19262 s
    t(norm)=0.0710856, mflops=70.3378 (err=2.1e-16)
21. NAPACK (f2c): elapsed time t=1.34629 s, 65536 iters, 
t-(init.)=1.32975 s
    t(norm)=0.317036, mflops=15.7711 (err=2.7e-16)
22. Nielsen: elapsed time t=1.09164 s, 65536 iters, t-(init.)=1.07511 s
    t(norm)=0.256326, mflops=19.5064 (err=1.8e-16)
23. NR (C): elapsed time t=1.81996 s, 262144 iters, t-(init.)=1.75385 s
    t(norm)=0.104538, mflops=47.8296 (err=2.9e-16)
24. Ooura (C): elapsed time t=1.22409 s, 524288 iters, t-(init.)=1.09152 s
    t(norm)=0.0325298, mflops=153.705 (err=2.5e-16)
25. QFT: elapsed time t=1.98508 s, 524288 iters, t-(init.)=1.85105 s
    t(norm)=0.0551657, mflops=90.6361 (err=1.4e-16)
26. Ransom: elapsed time t=1.02833 s, 65536 iters, t-(init.)=1.01179 s
    t(norm)=0.241229, mflops=20.7272 (err=5.0e-16)
27. Singleton (f2c): elapsed time t=1.1793 s, 262144 iters, 
t-(init.)=1.11319 s
    t(norm)=0.0663512, mflops=75.3566 (err=2.0e-16)
28. Temperton (f2c): elapsed time t=1.00948 s, 65536 iters, 
t-(init.)=0.992901 s
    t(norm)=0.236726, mflops=21.1215 (err=2.1e-16)
29. Valkenburg: elapsed time t=1.04624 s, 32768 iters, t-(init.)=1.03788 s
    t(norm)=0.494901, mflops=10.103 (err=2.5e-16)

Top mflops for N=16 = 276.514
Normalized results and averages for N=16:
  fft 0: mflops = 73.549 (norm. = 0.265986), norm. avg. (of 4) = 0.438727
  fft 1: mflops = 74.0212 (norm. = 0.267694), norm. avg. (of 4) = 0.43369
  fft 2: mflops = 49.909 (norm. = 0.180493), norm. avg. (of 4) = 0.22262
  fft 3: mflops = 17.1332 (norm. = 0.0619614), norm. avg. (of 4) = 
0.0400347
  fft 4: mflops = 18.6766 (norm. = 0.0675429), norm. avg. (of 4) = 
0.0726298
  fft 5: mflops = 60.1635 (norm. = 0.217578), norm. avg. (of 4) = 0.14509
  fft 6: mflops = 82.8437 (norm. = 0.2996), norm. avg. (of 4) = 0.1705
  fft 7: mflops = 60.2893 (norm. = 0.218033), norm. avg. (of 4) = 0.117601
  fft 8: mflops = 37.2819 (norm. = 0.134828), norm. avg. (of 3) = 0.144349
  fft 9: mflops = 46.3919 (norm. = 0.167774), norm. avg. (of 4) = 0.133609
  fft 10: mflops = 262.152 (norm. = 0.948059), norm. avg. (of 4) = 
0.755675
  fft 11: mflops = 262.884 (norm. = 0.950706), norm. avg. (of 4) = 
0.761093
  fft 12: mflops = 276.514 (norm. = 1), norm. avg. (of 4) = 1
  fft 13: mflops = 131.597 (norm. = 0.475914), norm. avg. (of 2) = 0.39884
  fft 14: mflops = 74.2255 (norm. = 0.268433), norm. avg. (of 4) = 
0.227503
  fft 15: mflops = 46.3724 (norm. = 0.167703), norm. avg. (of 4) = 
0.140268
  fft 16: mflops = 45.7286 (norm. = 0.165375), norm. avg. (of 4) = 
0.136407
  fft 17: mflops = 132.889 (norm. = 0.480587), norm. avg. (of 4) = 
0.489169
  fft 18: mflops = 59.4217 (norm. = 0.214896), norm. avg. (of 3) = 
0.218154
  fft 19: mflops = 70.1526 (norm. = 0.253703), norm. avg. (of 3) = 
0.232734
  fft 20: mflops = 70.3378 (norm. = 0.254373), norm. avg. (of 3) = 
0.225271
  fft 21: mflops = 15.7711 (norm. = 0.0570352), norm. avg. (of 4) = 
0.0513817
  fft 22: mflops = 19.5064 (norm. = 0.070544), norm. avg. (of 4) = 
0.0623474
  fft 23: mflops = 47.8296 (norm. = 0.172973), norm. avg. (of 4) = 
0.151702
  fft 24: mflops = 153.705 (norm. = 0.555867), norm. avg. (of 4) = 
0.498833
  fft 25: mflops = 90.6361 (norm. = 0.327781), norm. avg. (of 1) = 
0.327781
  fft 26: mflops = 20.7272 (norm. = 0.0749589), norm. avg. (of 3) = 
0.0434846
  fft 27: mflops = 75.3566 (norm. = 0.272523), norm. avg. (of 4) = 
0.166146
  fft 28: mflops = 21.1215 (norm. = 0.0763847), norm. avg. (of 4) = 
0.0638795
  fft 29: mflops = 10.103 (norm. = 0.0365371), norm. avg. (of 4) = 
0.0720059

Benchmarking for array size = 32 (power of 2):
0. Arndt DIF: elapsed time t=1.24333 s, 131072 iters, t-(init.)=1.18207 s
    t(norm)=0.0563655, mflops=88.7067 (err=2.4e-16)
1. Arndt DIT: elapsed time t=1.23483 s, 131072 iters, t-(init.)=1.17362 s
    t(norm)=0.0559624, mflops=89.3457 (err=2.7e-16)
2. Arndt Split-Radix: elapsed time t=1.84513 s, 131072 iters, 
t-(init.)=1.78381 s
    t(norm)=0.0850586, mflops=58.783 (err=3.0e-16)
3. Arndt 4-step: elapsed time t=1.29092 s, 32768 iters, t-(init.)=1.27558 
s
    t(norm)=0.243298, mflops=20.551 (err=2.4e-16)
4. Beauregard: elapsed time t=1.34232 s, 32768 iters, t-(init.)=1.32695 s
    t(norm)=0.253095, mflops=19.7554 (err=2.5e-16)
5. Bergland: elapsed time t=1.21614 s, 131072 iters, t-(init.)=1.15489 s
    t(norm)=0.0550696, mflops=90.7942 (err=2.6e-16)
6. CWP (min N) (N=33): elapsed time t=1.25305 s, 131072 iters, 
t-(init.)=1.19003 s
    t(norm)=0.0567452, mflops=88.1131
7. CWP (best N) (N=35): elapsed time t=1.99182 s, 262144 iters, 
t-(init.)=1.85877 s
    t(norm)=0.0443165, mflops=112.825
8. Edelblute: elapsed time t=1.26789 s, 65536 iters, t-(init.)=1.23736 s
    t(norm)=0.118004, mflops=42.3716 (err=2.9e-16)
9. FFTPACK (f2c): elapsed time t=1.39422 s, 65536 iters, 
t-(init.)=1.36333 s
    t(norm)=0.130018, mflops=38.4563 (err=2.3e-16)

FFTW_MEASURE plan: (cost = 2.905121e-06)
FFTW_NOTW 32

10. FFTW: elapsed time t=1.5874 s, 524288 iters, t-(init.)=1.34074 s
    t(norm)=0.0159828, mflops=312.836 (err=2.4e-16)

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

11. FFTW_ESTIMATE: elapsed time t=1.58425 s, 524288 iters, 
t-(init.)=1.33915 s
    t(norm)=0.0159639, mflops=313.206 (err=2.4e-16)
12. Frigo-old: elapsed time t=1.57212 s, 524288 iters, t-(init.)=1.3272 s
    t(norm)=0.0158215, mflops=316.026 (err=2.1e-16)
13. Green: elapsed time t=1.27824 s, 262144 iters, t-(init.)=1.15571 s
    t(norm)=0.0275542, mflops=181.461 (err=2.4e-16)
14. GSL: elapsed time t=1.57714 s, 131072 iters, t-(init.)=1.51587 s
    t(norm)=0.0722821, mflops=69.1734 (err=2.3e-16)
15. GSL DIT: elapsed time t=1.78821 s, 131072 iters, t-(init.)=1.72656 s
    t(norm)=0.082329, mflops=60.732 (err=3.1e-16)
16. GSL DIF: elapsed time t=1.76801 s, 131072 iters, t-(init.)=1.70659 s
    t(norm)=0.0813763, mflops=61.4429 (err=3.2e-16)
17. Krukar: elapsed time t=1.65654 s, 262144 iters, t-(init.)=1.53403 s
    t(norm)=0.0365741, mflops=136.709 (err=2.7e-16)
18. Mayer (Buneman): elapsed time t=1.57309 s, 131072 iters, 
t-(init.)=1.51179 s
    t(norm)=0.0720878, mflops=69.3599 (err=2.8e-16)
19. Mayer (simple): elapsed time t=1.27549 s, 131072 iters, 
t-(init.)=1.21427 s
    t(norm)=0.057901, mflops=86.3543
20. Mayer (lookup): elapsed time t=1.25001 s, 131072 iters, 
t-(init.)=1.18871 s
    t(norm)=0.0566822, mflops=88.2111 (err=2.6e-16)
21. NAPACK (f2c): elapsed time t=1.47061 s, 32768 iters, 
t-(init.)=1.45527 s
    t(norm)=0.27757, mflops=18.0135 (err=6.4e-16)
22. Nielsen: elapsed time t=1.90421 s, 65536 iters, t-(init.)=1.87357 s
    t(norm)=0.178678, mflops=27.9833 (err=1.1e-15)
23. NR (C): elapsed time t=1.7109 s, 131072 iters, t-(init.)=1.64963 s
    t(norm)=0.0786603, mflops=63.5644 (err=2.9e-16)
24. Ooura (C): elapsed time t=1.32046 s, 262144 iters, t-(init.)=1.19782 s
    t(norm)=0.0285583, mflops=175.081 (err=2.5e-16)
25. QFT: elapsed time t=1.32905 s, 131072 iters, t-(init.)=1.26732 s
    t(norm)=0.0604307, mflops=82.7394 (err=2.8e-16)
26. Ransom: elapsed time t=1.26916 s, 32768 iters, t-(init.)=1.25382 s
    t(norm)=0.239147, mflops=20.9077 (err=7.4e-16)
27. Singleton (f2c): elapsed time t=1.12253 s, 131072 iters, 
t-(init.)=1.06122 s
    t(norm)=0.050603, mflops=98.8084 (err=2.3e-16)
28. Temperton (f2c): elapsed time t=1.34394 s, 32768 iters, 
t-(init.)=1.32859 s
    t(norm)=0.253409, mflops=19.7309 (err=2.6e-16)
29. Valkenburg: elapsed time t=1.26715 s, 16384 iters, t-(init.)=1.25939 s
    t(norm)=0.480419, mflops=10.4076 (err=2.8e-16)

Top mflops for N=32 = 316.026
Normalized results and averages for N=32:
  fft 0: mflops = 88.7067 (norm. = 0.280695), norm. avg. (of 5) = 0.40712
  fft 1: mflops = 89.3457 (norm. = 0.282717), norm. avg. (of 5) = 0.403495
  fft 2: mflops = 58.783 (norm. = 0.186007), norm. avg. (of 5) = 0.215297
  fft 3: mflops = 20.551 (norm. = 0.0650294), norm. avg. (of 5) = 
0.0450337
  fft 4: mflops = 19.7554 (norm. = 0.062512), norm. avg. (of 5) = 
0.0706063
  fft 5: mflops = 90.7942 (norm. = 0.2873), norm. avg. (of 5) = 0.173532
  fft 6: mflops = 88.1131 (norm. = 0.278816), norm. avg. (of 5) = 0.192163
  fft 7: mflops = 112.825 (norm. = 0.357012), norm. avg. (of 5) = 0.165483
  fft 8: mflops = 42.3716 (norm. = 0.134077), norm. avg. (of 4) = 0.141781
  fft 9: mflops = 38.4563 (norm. = 0.121687), norm. avg. (of 5) = 0.131224
  fft 10: mflops = 312.836 (norm. = 0.989908), norm. avg. (of 5) = 
0.802521
  fft 11: mflops = 313.206 (norm. = 0.991077), norm. avg. (of 5) = 0.80709
  fft 12: mflops = 316.026 (norm. = 1), norm. avg. (of 5) = 1
  fft 13: mflops = 181.461 (norm. = 0.574196), norm. avg. (of 3) = 
0.457292
  fft 14: mflops = 69.1734 (norm. = 0.218886), norm. avg. (of 5) = 0.22578
  fft 15: mflops = 60.732 (norm. = 0.192174), norm. avg. (of 5) = 0.150649
  fft 16: mflops = 61.4429 (norm. = 0.194424), norm. avg. (of 5) = 
0.148011
  fft 17: mflops = 136.709 (norm. = 0.432588), norm. avg. (of 5) = 
0.477853
  fft 18: mflops = 69.3599 (norm. = 0.219475), norm. avg. (of 4) = 
0.218484
  fft 19: mflops = 86.3543 (norm. = 0.273251), norm. avg. (of 4) = 
0.242863
  fft 20: mflops = 88.2111 (norm. = 0.279126), norm. avg. (of 4) = 
0.238735
  fft 21: mflops = 18.0135 (norm. = 0.057), norm. avg. (of 5) = 0.0525054
  fft 22: mflops = 27.9833 (norm. = 0.0885476), norm. avg. (of 5) = 
0.0675874
  fft 23: mflops = 63.5644 (norm. = 0.201137), norm. avg. (of 5) = 
0.161589
  fft 24: mflops = 175.081 (norm. = 0.554008), norm. avg. (of 5) = 
0.509868
  fft 25: mflops = 82.7394 (norm. = 0.261812), norm. avg. (of 2) = 
0.294797
  fft 26: mflops = 20.9077 (norm. = 0.0661582), norm. avg. (of 4) = 
0.049153
  fft 27: mflops = 98.8084 (norm. = 0.312659), norm. avg. (of 5) = 
0.195448
  fft 28: mflops = 19.7309 (norm. = 0.0624347), norm. avg. (of 5) = 
0.0635905
  fft 29: mflops = 10.4076 (norm. = 0.0329327), norm. avg. (of 5) = 
0.0641913

Benchmarking for array size = 64 (power of 2):
0. Arndt DIF: elapsed time t=1.43743 s, 65536 iters, t-(init.)=1.37865 s
    t(norm)=0.0547825, mflops=91.2701 (err=5.0e-16)
1. Arndt DIT: elapsed time t=1.43151 s, 65536 iters, t-(init.)=1.37264 s
    t(norm)=0.054544, mflops=91.6691 (err=4.9e-16)
2. Arndt Split-Radix: elapsed time t=1.93589 s, 65536 iters, 
t-(init.)=1.87709 s
    t(norm)=0.0745887, mflops=67.0343 (err=4.5e-16)
3. Arndt 4-step: elapsed time t=1.04855 s, 16384 iters, t-(init.)=1.0338 s
    t(norm)=0.164319, mflops=30.4287 (err=4.9e-16)
4. Beauregard: elapsed time t=1.58045 s, 16384 iters, t-(init.)=1.56571 s
    t(norm)=0.248863, mflops=20.0914 (err=4.5e-16)
5. Bergland: elapsed time t=1.19649 s, 65536 iters, t-(init.)=1.13761 s
    t(norm)=0.0452047, mflops=110.608 (err=5.5e-16)
6. CWP (min N) (N=65): elapsed time t=1.30254 s, 65536 iters, 
t-(init.)=1.24279 s
    t(norm)=0.049384, mflops=101.247
7. CWP (best N) (N=84): elapsed time t=1.02498 s, 65536 iters, 
t-(init.)=0.948476 s
    t(norm)=0.0376891, mflops=132.665
8. Edelblute: elapsed time t=1.34834 s, 32768 iters, t-(init.)=1.31896 s
    t(norm)=0.104821, mflops=47.7002 (err=4.6e-16)
9. FFTPACK (f2c): elapsed time t=1.40359 s, 32768 iters, 
t-(init.)=1.37404 s
    t(norm)=0.109199, mflops=45.7881 (err=4.4e-16)

FFTW_MEASURE plan: (cost = 6.343994e-06)
FFTW_NOTW 64

10. FFTW: elapsed time t=1.72289 s, 262144 iters, t-(init.)=1.48652 s
    t(norm)=0.0147672, mflops=338.588 (err=4.4e-16)

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

11. FFTW_ESTIMATE: elapsed time t=1.06027 s, 131072 iters, 
t-(init.)=0.942646 s
    t(norm)=0.0187287, mflops=266.97 (err=4.7e-16)
12. Frigo-old: elapsed time t=1.36945 s, 131072 iters, t-(init.)=1.25179 s
    t(norm)=0.0248709, mflops=201.039 (err=4.5e-16)
13. Green: elapsed time t=1.10833 s, 131072 iters, t-(init.)=0.990743 s
    t(norm)=0.0196843, mflops=254.01 (err=4.6e-16)
14. GSL: elapsed time t=1.56148 s, 65536 iters, t-(init.)=1.50257 s
    t(norm)=0.0597068, mflops=83.7425 (err=4.4e-16)
15. GSL DIT: elapsed time t=1.8306 s, 65536 iters, t-(init.)=1.7716 s
    t(norm)=0.070397, mflops=71.0258 (err=4.6e-16)
16. GSL DIF: elapsed time t=1.76959 s, 65536 iters, t-(init.)=1.71076 s
    t(norm)=0.0679795, mflops=73.5516 (err=4.9e-16)
17. Krukar: elapsed time t=1.95406 s, 131072 iters, t-(init.)=1.83643 s
    t(norm)=0.0364866, mflops=137.037 (err=5.2e-16)
18. Mayer (Buneman): elapsed time t=1.78357 s, 65536 iters, 
t-(init.)=1.72497 s
    t(norm)=0.0685443, mflops=72.9456 (err=4.8e-16)
19. Mayer (simple): elapsed time t=1.39031 s, 65536 iters, 
t-(init.)=1.33141 s
    t(norm)=0.0529056, mflops=94.508
20. Mayer (lookup): elapsed time t=1.34487 s, 65536 iters, 
t-(init.)=1.28597 s
    t(norm)=0.0510997, mflops=97.8479 (err=4.5e-16)
21. NAPACK (f2c): elapsed time t=1.51827 s, 16384 iters, t-(init.)=1.5035 
s
    t(norm)=0.238975, mflops=20.9227 (err=1.1e-15)
22. Nielsen: elapsed time t=1.77825 s, 32768 iters, t-(init.)=1.7488 s
    t(norm)=0.138982, mflops=35.9758 (err=1.9e-15)
23. NR (C): elapsed time t=1.71293 s, 65536 iters, t-(init.)=1.65415 s
    t(norm)=0.0657301, mflops=76.0687 (err=4.4e-16)
24. Ooura (C): elapsed time t=1.39592 s, 131072 iters, t-(init.)=1.27817 s
    t(norm)=0.0253949, mflops=196.89 (err=5.4e-16)
25. QFT: elapsed time t=1.64949 s, 65536 iters, t-(init.)=1.5901 s
    t(norm)=0.0631847, mflops=79.133 (err=4.9e-16)
26. Ransom: elapsed time t=1.52607 s, 32768 iters, t-(init.)=1.49663 s
    t(norm)=0.118942, mflops=42.0373 (err=9.1e-16)
27. Singleton (f2c): elapsed time t=1.91736 s, 131072 iters, 
t-(init.)=1.79946 s
    t(norm)=0.035752, mflops=139.852 (err=6.5e-16)
28. Temperton (f2c): elapsed time t=1.23249 s, 16384 iters, 
t-(init.)=1.21772 s
    t(norm)=0.193551, mflops=25.833 (err=4.7e-16)
29. Valkenburg: elapsed time t=1.48632 s, 8192 iters, t-(init.)=1.47893 s
    t(norm)=0.470139, mflops=10.6352 (err=6.0e-16)

Top mflops for N=64 = 338.588
Normalized results and averages for N=64:
  fft 0: mflops = 91.2701 (norm. = 0.269561), norm. avg. (of 6) = 0.384194
  fft 1: mflops = 91.6691 (norm. = 0.270739), norm. avg. (of 6) = 0.381369
  fft 2: mflops = 67.0343 (norm. = 0.197982), norm. avg. (of 6) = 0.212411
  fft 3: mflops = 30.4287 (norm. = 0.0898694), norm. avg. (of 6) = 
0.0525063
  fft 4: mflops = 20.0914 (norm. = 0.0593387), norm. avg. (of 6) = 
0.0687283
  fft 5: mflops = 110.608 (norm. = 0.326674), norm. avg. (of 6) = 0.199055
  fft 6: mflops = 101.247 (norm. = 0.299028), norm. avg. (of 6) = 0.209974
  fft 7: mflops = 132.665 (norm. = 0.391817), norm. avg. (of 6) = 0.203205
  fft 8: mflops = 47.7002 (norm. = 0.14088), norm. avg. (of 5) = 0.141601
  fft 9: mflops = 45.7881 (norm. = 0.135233), norm. avg. (of 6) = 0.131892
  fft 10: mflops = 338.588 (norm. = 1), norm. avg. (of 6) = 0.835435
  fft 11: mflops = 266.97 (norm. = 0.788481), norm. avg. (of 6) = 0.803988
  fft 12: mflops = 201.039 (norm. = 0.593756), norm. avg. (of 6) = 
0.932293
  fft 13: mflops = 254.01 (norm. = 0.750203), norm. avg. (of 4) = 0.53052
  fft 14: mflops = 83.7425 (norm. = 0.247329), norm. avg. (of 6) = 
0.229371
  fft 15: mflops = 71.0258 (norm. = 0.209771), norm. avg. (of 6) = 
0.160503
  fft 16: mflops = 73.5516 (norm. = 0.21723), norm. avg. (of 6) = 0.159547
  fft 17: mflops = 137.037 (norm. = 0.40473), norm. avg. (of 6) = 0.465665
  fft 18: mflops = 72.9456 (norm. = 0.21544), norm. avg. (of 5) = 0.217876
  fft 19: mflops = 94.508 (norm. = 0.279124), norm. avg. (of 5) = 0.250115
  fft 20: mflops = 97.8479 (norm. = 0.288988), norm. avg. (of 5) = 
0.248786
  fft 21: mflops = 20.9227 (norm. = 0.0617939), norm. avg. (of 6) = 
0.0540534
  fft 22: mflops = 35.9758 (norm. = 0.106253), norm. avg. (of 6) = 
0.0740316
  fft 23: mflops = 76.0687 (norm. = 0.224664), norm. avg. (of 6) = 
0.172102
  fft 24: mflops = 196.89 (norm. = 0.581503), norm. avg. (of 6) = 0.521807
  fft 25: mflops = 79.133 (norm. = 0.233715), norm. avg. (of 3) = 0.274436
  fft 26: mflops = 42.0373 (norm. = 0.124155), norm. avg. (of 5) = 
0.0641533
  fft 27: mflops = 139.852 (norm. = 0.413046), norm. avg. (of 6) = 
0.231715
  fft 28: mflops = 25.833 (norm. = 0.0762962), norm. avg. (of 6) = 
0.0657081
  fft 29: mflops = 10.6352 (norm. = 0.0314103), norm. avg. (of 6) = 
0.0587278

Benchmarking for array size = 128 (power of 2):
0. Arndt DIF: elapsed time t=1.50372 s, 32768 iters, t-(init.)=1.44604 s
    t(norm)=0.0492519, mflops=101.519 (err=4.0e-16)
1. Arndt DIT: elapsed time t=1.49745 s, 32768 iters, t-(init.)=1.43986 s
    t(norm)=0.0490412, mflops=101.955 (err=4.1e-16)
2. Arndt Split-Radix: elapsed time t=1.01192 s, 16384 iters, 
t-(init.)=0.98311 s
    t(norm)=0.0669691, mflops=74.6614 (err=4.4e-16)
3. Arndt 4-step: elapsed time t=1.21117 s, 8192 iters, t-(init.)=1.1968 s
    t(norm)=0.163051, mflops=30.6652 (err=4.0e-16)
4. Beauregard: elapsed time t=1.83818 s, 8192 iters, t-(init.)=1.82374 s
    t(norm)=0.248465, mflops=20.1235 (err=4.1e-16)
5. Bergland: elapsed time t=1.23401 s, 32768 iters, t-(init.)=1.1764 s
    t(norm)=0.0400678, mflops=124.788 (err=4.3e-16)
6. CWP (min N) (N=130): elapsed time t=1.28308 s, 32768 iters, 
t-(init.)=1.22453 s
    t(norm)=0.0417072, mflops=119.883
7. CWP (best N) (N=140): elapsed time t=1.70242 s, 65536 iters, 
t-(init.)=1.57647 s
    t(norm)=0.0268472, mflops=186.239
8. Edelblute: elapsed time t=1.40841 s, 16384 iters, t-(init.)=1.37946 s
    t(norm)=0.0939684, mflops=53.2094 (err=4.1e-16)
9. FFTPACK (f2c): elapsed time t=1.45274 s, 16384 iters, 
t-(init.)=1.42384 s
    t(norm)=0.0969912, mflops=51.5511 (err=4.1e-16)

FFTW_MEASURE plan: (cost = 1.647314e-05)
FFTW_TWIDDLE 4
FFTW_NOTW 32

10. FFTW: elapsed time t=1.10795 s, 65536 iters, t-(init.)=0.992577 s
    t(norm)=0.0169035, mflops=295.797 (err=4.2e-16)

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

11. FFTW_ESTIMATE: elapsed time t=1.10752 s, 65536 iters, 
t-(init.)=0.992058 s
    t(norm)=0.0168946, mflops=295.952 (err=4.2e-16)
12. Frigo-old: elapsed time t=1.42984 s, 65536 iters, t-(init.)=1.31429 s
    t(norm)=0.0223823, mflops=223.391 (err=4.4e-16)
13. Green: elapsed time t=1.16733 s, 65536 iters, t-(init.)=1.05211 s
    t(norm)=0.0179174, mflops=279.058 (err=4.4e-16)
14. GSL: elapsed time t=1.76307 s, 32768 iters, t-(init.)=1.70519 s
    t(norm)=0.0580784, mflops=86.0906 (err=4.2e-16)
15. GSL DIT: elapsed time t=1.92483 s, 32768 iters, t-(init.)=1.86695 s
    t(norm)=0.063588, mflops=78.6312 (err=4.3e-16)
16. GSL DIF: elapsed time t=1.82492 s, 32768 iters, t-(init.)=1.76732 s
    t(norm)=0.0601945, mflops=83.0641 (err=4.6e-16)
17. Krukar: elapsed time t=1.13731 s, 16384 iters, t-(init.)=1.10829 s
    t(norm)=0.0754961, mflops=66.2286 (err=4.6e-16)
18. Mayer (Buneman): elapsed time t=1.8929 s, 32768 iters, 
t-(init.)=1.83526 s
    t(norm)=0.0625087, mflops=79.9889 (err=4.0e-16)
19. Mayer (simple): elapsed time t=1.43957 s, 32768 iters, 
t-(init.)=1.38196 s
    t(norm)=0.0470694, mflops=106.226
20. Mayer (lookup): elapsed time t=1.39314 s, 32768 iters, 
t-(init.)=1.33547 s
    t(norm)=0.0454858, mflops=109.924 (err=4.3e-16)
21. NAPACK (f2c): elapsed time t=1.72643 s, 8192 iters, t-(init.)=1.71198 
s
    t(norm)=0.233239, mflops=21.4372 (err=1.2e-15)
22. Nielsen: elapsed time t=1.13552 s, 8192 iters, t-(init.)=1.12108 s
    t(norm)=0.152735, mflops=32.7365 (err=1.3e-15)
23. NR (C): elapsed time t=1.75863 s, 32768 iters, t-(init.)=1.70087 s
    t(norm)=0.0579313, mflops=86.3092 (err=4.4e-16)
24. Ooura (C): elapsed time t=1.57783 s, 65536 iters, t-(init.)=1.46259 s
    t(norm)=0.0249077, mflops=200.741 (err=4.1e-16)
25. QFT: elapsed time t=1.96473 s, 32768 iters, t-(init.)=1.90695 s
    t(norm)=0.0649505, mflops=76.9817 (err=4.6e-16)
26. Ransom: elapsed time t=1.88367 s, 16384 iters, t-(init.)=1.85482 s
    t(norm)=0.12635, mflops=39.5727 (err=1.1e-15)
27. Singleton (f2c): elapsed time t=1.17789 s, 32768 iters, 
t-(init.)=1.12018 s
    t(norm)=0.0381533, mflops=131.05 (err=5.3e-16)
28. Temperton (f2c): elapsed time t=1.49835 s, 8192 iters, 
t-(init.)=1.48388 s
    t(norm)=0.202163, mflops=24.7325 (err=4.4e-16)
29. Valkenburg: elapsed time t=1.70761 s, 4096 iters, t-(init.)=1.70039 s
    t(norm)=0.46332, mflops=10.7917 (err=4.8e-16)

Top mflops for N=128 = 295.952
Normalized results and averages for N=128:
  fft 0: mflops = 101.519 (norm. = 0.343025), norm. avg. (of 7) = 0.378313
  fft 1: mflops = 101.955 (norm. = 0.344499), norm. avg. (of 7) = 0.376102
  fft 2: mflops = 74.6614 (norm. = 0.252275), norm. avg. (of 7) = 0.218106
  fft 3: mflops = 30.6652 (norm. = 0.103616), norm. avg. (of 7) = 
0.0598076
  fft 4: mflops = 20.1235 (norm. = 0.067996), norm. avg. (of 7) = 
0.0686237
  fft 5: mflops = 124.788 (norm. = 0.421651), norm. avg. (of 7) = 0.230855
  fft 6: mflops = 119.883 (norm. = 0.405077), norm. avg. (of 7) = 0.237846
  fft 7: mflops = 186.239 (norm. = 0.629289), norm. avg. (of 7) = 0.264074
  fft 8: mflops = 53.2094 (norm. = 0.179791), norm. avg. (of 6) = 0.147966
  fft 9: mflops = 51.5511 (norm. = 0.174187), norm. avg. (of 7) = 0.137935
  fft 10: mflops = 295.797 (norm. = 0.999477), norm. avg. (of 7) = 
0.858869
  fft 11: mflops = 295.952 (norm. = 1), norm. avg. (of 7) = 0.83199
  fft 12: mflops = 223.391 (norm. = 0.754823), norm. avg. (of 7) = 0.90694
  fft 13: mflops = 279.058 (norm. = 0.942918), norm. avg. (of 5) = 
0.612999
  fft 14: mflops = 86.0906 (norm. = 0.290894), norm. avg. (of 7) = 0.23816
  fft 15: mflops = 78.6312 (norm. = 0.265689), norm. avg. (of 7) = 
0.175529
  fft 16: mflops = 83.0641 (norm. = 0.280668), norm. avg. (of 7) = 0.17685
  fft 17: mflops = 66.2286 (norm. = 0.223782), norm. avg. (of 7) = 
0.431111
  fft 18: mflops = 79.9889 (norm. = 0.270277), norm. avg. (of 6) = 
0.226609
  fft 19: mflops = 106.226 (norm. = 0.35893), norm. avg. (of 6) = 0.268251
  fft 20: mflops = 109.924 (norm. = 0.371427), norm. avg. (of 6) = 
0.269226
  fft 21: mflops = 21.4372 (norm. = 0.0724349), norm. avg. (of 7) = 
0.0566794
  fft 22: mflops = 32.7365 (norm. = 0.110614), norm. avg. (of 7) = 
0.0792577
  fft 23: mflops = 86.3092 (norm. = 0.291633), norm. avg. (of 7) = 
0.189178
  fft 24: mflops = 200.741 (norm. = 0.67829), norm. avg. (of 7) = 0.544162
  fft 25: mflops = 76.9817 (norm. = 0.260116), norm. avg. (of 4) = 
0.270856
  fft 26: mflops = 39.5727 (norm. = 0.133713), norm. avg. (of 6) = 
0.0757467
  fft 27: mflops = 131.05 (norm. = 0.44281), norm. avg. (of 7) = 0.261871
  fft 28: mflops = 24.7325 (norm. = 0.0835693), norm. avg. (of 7) = 
0.0682597
  fft 29: mflops = 10.7917 (norm. = 0.0364644), norm. avg. (of 7) = 
0.0555473

Benchmarking for array size = 256 (power of 2):
0. Arndt DIF: elapsed time t=1.61575 s, 16384 iters, t-(init.)=1.55877 s
    t(norm)=0.0464548, mflops=107.631 (err=6.7e-16)
1. Arndt DIT: elapsed time t=1.61406 s, 16384 iters, t-(init.)=1.55698 s
    t(norm)=0.0464017, mflops=107.755 (err=7.1e-16)
2. Arndt Split-Radix: elapsed time t=1.05743 s, 8192 iters, 
t-(init.)=1.02889 s
    t(norm)=0.0613267, mflops=81.5305 (err=7.4e-16)
3. Arndt 4-step: elapsed time t=1.20178 s, 4096 iters, t-(init.)=1.18747 s
    t(norm)=0.141557, mflops=35.3214 (err=7.2e-16)
4. Beauregard: elapsed time t=1.04788 s, 2048 iters, t-(init.)=1.04075 s
    t(norm)=0.248134, mflops=20.1504 (err=7.8e-16)
5. Bergland: elapsed time t=1.23668 s, 16384 iters, t-(init.)=1.17947 s
    t(norm)=0.035151, mflops=142.243 (err=8.3e-16)
6. CWP (min N) (N=260): elapsed time t=1.24071 s, 16384 iters, 
t-(init.)=1.18285 s
    t(norm)=0.0352517, mflops=141.837
7. CWP (best N) (N=280): elapsed time t=1.86264 s, 32768 iters, 
t-(init.)=1.73779 s
    t(norm)=0.0258951, mflops=193.087
8. Edelblute: elapsed time t=1.46587 s, 8192 iters, t-(init.)=1.43737 s
    t(norm)=0.0856739, mflops=58.3608 (err=7.0e-16)
9. FFTPACK (f2c): elapsed time t=1.52898 s, 8192 iters, t-(init.)=1.50031 
s
    t(norm)=0.0894257, mflops=55.9123 (err=7.8e-16)

FFTW_MEASURE plan: (cost = 3.501318e-05)
FFTW_TWIDDLE 4
FFTW_NOTW 64

10. FFTW: elapsed time t=1.17673 s, 32768 iters, t-(init.)=1.06234 s
    t(norm)=0.0158301, mflops=315.854 (err=8.0e-16)

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

11. FFTW_ESTIMATE: elapsed time t=1.19545 s, 32768 iters, 
t-(init.)=1.08114 s
    t(norm)=0.0161102, mflops=310.362 (err=8.1e-16)
12. Frigo-old: elapsed time t=1.45791 s, 32768 iters, t-(init.)=1.34387 s
    t(norm)=0.0200252, mflops=249.685 (err=8.0e-16)
13. Green: elapsed time t=1.23826 s, 32768 iters, t-(init.)=1.12428 s
    t(norm)=0.0167531, mflops=298.452 (err=7.6e-16)
14. GSL: elapsed time t=1.80087 s, 16384 iters, t-(init.)=1.7438 s
    t(norm)=0.0519693, mflops=96.2106 (err=7.8e-16)
15. GSL DIT: elapsed time t=1.03622 s, 8192 iters, t-(init.)=1.00766 s
    t(norm)=0.0600613, mflops=83.2482 (err=7.7e-16)
16. GSL DIF: elapsed time t=1.93477 s, 16384 iters, t-(init.)=1.87769 s
    t(norm)=0.0559596, mflops=89.3501 (err=8.3e-16)
17. Krukar: elapsed time t=1.27842 s, 8192 iters, t-(init.)=1.24984 s
    t(norm)=0.0744965, mflops=67.1172 (err=7.7e-16)
18. Mayer (Buneman): elapsed time t=1.02161 s, 8192 iters, 
t-(init.)=0.9931 s
    t(norm)=0.0591934, mflops=84.4689 (err=7.0e-16)
19. Mayer (simple): elapsed time t=1.55288 s, 16384 iters, 
t-(init.)=1.49588 s
    t(norm)=0.0445806, mflops=112.156
20. Mayer (lookup): elapsed time t=1.49581 s, 16384 iters, 
t-(init.)=1.43882 s
    t(norm)=0.0428802, mflops=116.604 (err=7.1e-16)
21. NAPACK (f2c): elapsed time t=1.82959 s, 4096 iters, t-(init.)=1.81529 
s
    t(norm)=0.216399, mflops=23.1054 (err=3.6e-15)
22. Nielsen: elapsed time t=1.1416 s, 4096 iters, t-(init.)=1.12731 s
    t(norm)=0.134386, mflops=37.2063 (err=3.4e-15)
23. NR (C): elapsed time t=1.85366 s, 16384 iters, t-(init.)=1.79662 s
    t(norm)=0.0535436, mflops=93.3818 (err=8.6e-16)
24. Ooura (C): elapsed time t=1.67517 s, 32768 iters, t-(init.)=1.56115 s
    t(norm)=0.0232629, mflops=214.934 (err=7.9e-16)
25. QFT: elapsed time t=1.14291 s, 8192 iters, t-(init.)=1.11437 s
    t(norm)=0.0664218, mflops=75.2765 (err=9.5e-16)
26. Ransom: elapsed time t=1.42897 s, 8192 iters, t-(init.)=1.40043 s
    t(norm)=0.083472, mflops=59.9004 (err=1.7e-15)
27. Singleton (f2c): elapsed time t=1.00797 s, 16384 iters, 
t-(init.)=0.950985 s
    t(norm)=0.0283416, mflops=176.419 (err=1.3e-15)
28. Temperton (f2c): elapsed time t=1.5507 s, 4096 iters, 
t-(init.)=1.53639 s
    t(norm)=0.183152, mflops=27.2997 (err=7.5e-16)
29. Valkenburg: elapsed time t=1.92713 s, 2048 iters, t-(init.)=1.91999 s
    t(norm)=0.457762, mflops=10.9227 (err=7.4e-16)

Top mflops for N=256 = 315.854
Normalized results and averages for N=256:
  fft 0: mflops = 107.631 (norm. = 0.340763), norm. avg. (of 8) = 0.373619
  fft 1: mflops = 107.755 (norm. = 0.341154), norm. avg. (of 8) = 0.371733
  fft 2: mflops = 81.5305 (norm. = 0.258127), norm. avg. (of 8) = 0.223109
  fft 3: mflops = 35.3214 (norm. = 0.111828), norm. avg. (of 8) = 
0.0663102
  fft 4: mflops = 20.1504 (norm. = 0.0637965), norm. avg. (of 8) = 
0.0680203
  fft 5: mflops = 142.243 (norm. = 0.450346), norm. avg. (of 8) = 0.258291
  fft 6: mflops = 141.837 (norm. = 0.449059), norm. avg. (of 8) = 0.264247
  fft 7: mflops = 193.087 (norm. = 0.611317), norm. avg. (of 8) = 0.30748
  fft 8: mflops = 58.3608 (norm. = 0.184771), norm. avg. (of 7) = 0.153224
  fft 9: mflops = 55.9123 (norm. = 0.17702), norm. avg. (of 8) = 0.14282
  fft 10: mflops = 315.854 (norm. = 1), norm. avg. (of 8) = 0.876511
  fft 11: mflops = 310.362 (norm. = 0.982614), norm. avg. (of 8) = 
0.850818
  fft 12: mflops = 249.685 (norm. = 0.790507), norm. avg. (of 8) = 
0.892386
  fft 13: mflops = 298.452 (norm. = 0.944906), norm. avg. (of 6) = 
0.668317
  fft 14: mflops = 96.2106 (norm. = 0.304605), norm. avg. (of 8) = 
0.246466
  fft 15: mflops = 83.2482 (norm. = 0.263566), norm. avg. (of 8) = 
0.186534
  fft 16: mflops = 89.3501 (norm. = 0.282884), norm. avg. (of 8) = 
0.190104
  fft 17: mflops = 67.1172 (norm. = 0.212495), norm. avg. (of 8) = 
0.403784
  fft 18: mflops = 84.4689 (norm. = 0.26743), norm. avg. (of 7) = 0.232441
  fft 19: mflops = 112.156 (norm. = 0.35509), norm. avg. (of 7) = 0.280657
  fft 20: mflops = 116.604 (norm. = 0.36917), norm. avg. (of 7) = 0.283504
  fft 21: mflops = 23.1054 (norm. = 0.0731523), norm. avg. (of 8) = 
0.0587385
  fft 22: mflops = 37.2063 (norm. = 0.117796), norm. avg. (of 8) = 
0.084075
  fft 23: mflops = 93.3818 (norm. = 0.295649), norm. avg. (of 8) = 
0.202487
  fft 24: mflops = 214.934 (norm. = 0.680487), norm. avg. (of 8) = 
0.561202
  fft 25: mflops = 75.2765 (norm. = 0.238327), norm. avg. (of 5) = 0.26435
  fft 26: mflops = 59.9004 (norm. = 0.189646), norm. avg. (of 7) = 
0.092018
  fft 27: mflops = 176.419 (norm. = 0.558547), norm. avg. (of 8) = 
0.298956
  fft 28: mflops = 27.2997 (norm. = 0.0864314), norm. avg. (of 8) = 
0.0705312
  fft 29: mflops = 10.9227 (norm. = 0.0345815), norm. avg. (of 8) = 
0.0529266

Benchmarking for array size = 512 (power of 2):
0. Arndt DIF: elapsed time t=1.72444 s, 8192 iters, t-(init.)=1.66762 s
    t(norm)=0.0441769, mflops=113.181 (err=6.7e-16)
1. Arndt DIT: elapsed time t=1.72368 s, 8192 iters, t-(init.)=1.66699 s
    t(norm)=0.0441601, mflops=113.224 (err=6.2e-16)
2. Arndt Split-Radix: elapsed time t=1.2036 s, 4096 iters, 
t-(init.)=1.17523 s
    t(norm)=0.0622658, mflops=80.3009 (err=6.5e-16)
3. Arndt 4-step: elapsed time t=1.27384 s, 2048 iters, t-(init.)=1.25961 s
    t(norm)=0.133474, mflops=37.4606 (err=6.3e-16)
4. Beauregard: elapsed time t=1.17545 s, 1024 iters, t-(init.)=1.1683 s
    t(norm)=0.247594, mflops=20.1943 (err=6.8e-16)
5. Bergland: elapsed time t=1.27861 s, 8192 iters, t-(init.)=1.22184 s
    t(norm)=0.0323677, mflops=154.475 (err=7.2e-16)
6. CWP (min N) (N=520): elapsed time t=1.35086 s, 8192 iters, 
t-(init.)=1.29329 s
    t(norm)=0.0342605, mflops=145.94
7. CWP (best N) (N=560): elapsed time t=1.09476 s, 8192 iters, 
t-(init.)=1.03279 s
    t(norm)=0.0273595, mflops=182.752
8. Edelblute: elapsed time t=1.62434 s, 4096 iters, t-(init.)=1.59586 s
    t(norm)=0.0845515, mflops=59.1356 (err=6.2e-16)
9. FFTPACK (f2c): elapsed time t=1.03272 s, 2048 iters, t-(init.)=1.01848 
s
    t(norm)=0.107922, mflops=46.3298 (err=6.4e-16)

FFTW_MEASURE plan: (cost = 7.930078e-05)
FFTW_TWIDDLE 8
FFTW_NOTW 64

10. FFTW: elapsed time t=1.30149 s, 16384 iters, t-(init.)=1.18806 s
    t(norm)=0.0157364, mflops=317.734 (err=6.4e-16)

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

11. FFTW_ESTIMATE: elapsed time t=1.39047 s, 16384 iters, 
t-(init.)=1.27701 s
    t(norm)=0.0169146, mflops=295.603 (err=6.5e-16)
12. Frigo-old: elapsed time t=1.68231 s, 16384 iters, t-(init.)=1.56888 s
    t(norm)=0.0207805, mflops=240.61 (err=6.3e-16)
13. Green: elapsed time t=1.28137 s, 16384 iters, t-(init.)=1.16788 s
    t(norm)=0.0154691, mflops=323.226 (err=6.2e-16)
14. GSL: elapsed time t=1.1323 s, 4096 iters, t-(init.)=1.10389 s
    t(norm)=0.0584862, mflops=85.4903 (err=6.4e-16)
15. GSL DIT: elapsed time t=1.15344 s, 4096 iters, t-(init.)=1.12504 s
    t(norm)=0.0596067, mflops=83.8832 (err=9.0e-16)
16. GSL DIF: elapsed time t=1.0398 s, 4096 iters, t-(init.)=1.01144 s
    t(norm)=0.0535881, mflops=93.3043 (err=7.8e-16)
17. Krukar: elapsed time t=1.36186 s, 4096 iters, t-(init.)=1.33342 s
    t(norm)=0.0706473, mflops=70.7741 (err=6.9e-16)
18. Mayer (Buneman): elapsed time t=1.0652 s, 4096 iters, 
t-(init.)=1.03687 s
    t(norm)=0.0549351, mflops=91.0164 (err=6.5e-16)
19. Mayer (simple): elapsed time t=1.61135 s, 8192 iters, 
t-(init.)=1.55465 s
    t(norm)=0.0411842, mflops=121.406
20. Mayer (lookup): elapsed time t=1.5585 s, 8192 iters, 
t-(init.)=1.50169 s
    t(norm)=0.0397812, mflops=125.688 (err=6.5e-16)
21. NAPACK (f2c): elapsed time t=1.0361 s, 1024 iters, t-(init.)=1.02897 s
    t(norm)=0.218068, mflops=22.9286 (err=6.7e-15)
22. Nielsen: elapsed time t=1.15015 s, 2048 iters, t-(init.)=1.13596 s
    t(norm)=0.120371, mflops=41.5382 (err=3.2e-15)
23. NR (C): elapsed time t=1.02203 s, 4096 iters, t-(init.)=0.993653 s
    t(norm)=0.0526456, mflops=94.9746 (err=7.1e-16)
24. Ooura (C): elapsed time t=1.88024 s, 16384 iters, t-(init.)=1.7668 s
    t(norm)=0.0234021, mflops=213.656 (err=6.9e-16)
25. QFT: elapsed time t=1.37044 s, 4096 iters, t-(init.)=1.34198 s
    t(norm)=0.0711005, mflops=70.323 (err=9.5e-16)
26. Ransom: elapsed time t=1.73437 s, 4096 iters, t-(init.)=1.70601 s
    t(norm)=0.0903878, mflops=55.3172 (err=1.5e-15)
27. Singleton (f2c): elapsed time t=1.11825 s, 8192 iters, 
t-(init.)=1.06156 s
    t(norm)=0.0281217, mflops=177.798 (err=8.4e-16)
28. Temperton (f2c): elapsed time t=1.95023 s, 2048 iters, 
t-(init.)=1.93607 s
    t(norm)=0.205153, mflops=24.3721 (err=6.4e-16)
29. Valkenburg: elapsed time t=1.07772 s, 512 iters, t-(init.)=1.07411 s
    t(norm)=0.455266, mflops=10.9826 (err=7.4e-16)

Top mflops for N=512 = 323.226
Normalized results and averages for N=512:
  fft 0: mflops = 113.181 (norm. = 0.350162), norm. avg. (of 9) = 0.371013
  fft 1: mflops = 113.224 (norm. = 0.350295), norm. avg. (of 9) = 0.369351
  fft 2: mflops = 80.3009 (norm. = 0.248436), norm. avg. (of 9) = 0.225923
  fft 3: mflops = 37.4606 (norm. = 0.115896), norm. avg. (of 9) = 
0.0718198
  fft 4: mflops = 20.1943 (norm. = 0.0624775), norm. avg. (of 9) = 
0.0674044
  fft 5: mflops = 154.475 (norm. = 0.477917), norm. avg. (of 9) = 0.282694
  fft 6: mflops = 145.94 (norm. = 0.451513), norm. avg. (of 9) = 0.285055
  fft 7: mflops = 182.752 (norm. = 0.5654), norm. avg. (of 9) = 0.336138
  fft 8: mflops = 59.1356 (norm. = 0.182954), norm. avg. (of 8) = 0.15694
  fft 9: mflops = 46.3298 (norm. = 0.143336), norm. avg. (of 9) = 0.142877
  fft 10: mflops = 317.734 (norm. = 0.983011), norm. avg. (of 9) = 
0.888344
  fft 11: mflops = 295.603 (norm. = 0.914542), norm. avg. (of 9) = 
0.857898
  fft 12: mflops = 240.61 (norm. = 0.744403), norm. avg. (of 9) = 0.875943
  fft 13: mflops = 323.226 (norm. = 1), norm. avg. (of 7) = 0.7157
  fft 14: mflops = 85.4903 (norm. = 0.264491), norm. avg. (of 9) = 
0.248468
  fft 15: mflops = 83.8832 (norm. = 0.259519), norm. avg. (of 9) = 
0.194643
  fft 16: mflops = 93.3043 (norm. = 0.288666), norm. avg. (of 9) = 
0.201056
  fft 17: mflops = 70.7741 (norm. = 0.218962), norm. avg. (of 9) = 
0.383248
  fft 18: mflops = 91.0164 (norm. = 0.281588), norm. avg. (of 8) = 
0.238584
  fft 19: mflops = 121.406 (norm. = 0.375607), norm. avg. (of 8) = 
0.292525
  fft 20: mflops = 125.688 (norm. = 0.388854), norm. avg. (of 8) = 
0.296672
  fft 21: mflops = 22.9286 (norm. = 0.0709369), norm. avg. (of 9) = 
0.0600939
  fft 22: mflops = 41.5382 (norm. = 0.128512), norm. avg. (of 9) = 
0.0890124
  fft 23: mflops = 94.9746 (norm. = 0.293834), norm. avg. (of 9) = 
0.212636
  fft 24: mflops = 213.656 (norm. = 0.661011), norm. avg. (of 9) = 
0.572292
  fft 25: mflops = 70.323 (norm. = 0.217566), norm. avg. (of 6) = 0.256553
  fft 26: mflops = 55.3172 (norm. = 0.171141), norm. avg. (of 8) = 
0.101908
  fft 27: mflops = 177.798 (norm. = 0.550075), norm. avg. (of 9) = 
0.326858
  fft 28: mflops = 24.3721 (norm. = 0.0754026), norm. avg. (of 9) = 
0.0710725
  fft 29: mflops = 10.9826 (norm. = 0.0339781), norm. avg. (of 9) = 
0.0508212

Benchmarking for array size = 1024 (power of 2):
0. Arndt DIF: elapsed time t=1.81602 s, 4096 iters, t-(init.)=1.75934 s
    t(norm)=0.0419458, mflops=119.201 (err=1.0e-15)
1. Arndt DIT: elapsed time t=1.82163 s, 4096 iters, t-(init.)=1.76506 s
    t(norm)=0.0420822, mflops=118.815 (err=1.0e-15)
2. Arndt Split-Radix: elapsed time t=1.25908 s, 2048 iters, 
t-(init.)=1.23059 s
    t(norm)=0.0586792, mflops=85.209 (err=1.0e-15)
3. Arndt 4-step: elapsed time t=1.21199 s, 1024 iters, t-(init.)=1.1978 s
    t(norm)=0.114231, mflops=43.7709 (err=1.0e-15)
4. Beauregard: elapsed time t=1.30831 s, 512 iters, t-(init.)=1.30124 s
    t(norm)=0.248192, mflops=20.1457 (err=1.1e-15)
5. Bergland: elapsed time t=1.38249 s, 4096 iters, t-(init.)=1.32585 s
    t(norm)=0.0316107, mflops=158.174 (err=1.1e-15)
6. CWP (min N) (N=1040): elapsed time t=1.50719 s, 4096 iters, 
t-(init.)=1.44953 s
    t(norm)=0.0345595, mflops=144.678
7. CWP (best N) (N=1040): elapsed time t=1.50729 s, 4096 iters, 
t-(init.)=1.44972 s
    t(norm)=0.034564, mflops=144.659
8. Edelblute: elapsed time t=1.68392 s, 2048 iters, t-(init.)=1.65562 s
    t(norm)=0.078946, mflops=63.3344 (err=1.0e-15)
9. FFTPACK (f2c): elapsed time t=1.91127 s, 1024 iters, t-(init.)=1.89698 
s
    t(norm)=0.18091, mflops=27.6381 (err=1.1e-15)

FFTW_MEASURE plan: (cost = 4.015781e-04)
FFTW_TWIDDLE 16
FFTW_NOTW 64

10. FFTW: elapsed time t=1.5994 s, 4096 iters, t-(init.)=1.54256 s
    t(norm)=0.0367775, mflops=135.953 (err=1.1e-15)

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

11. FFTW_ESTIMATE: elapsed time t=1.61519 s, 4096 iters, 
t-(init.)=1.55845 s
    t(norm)=0.0371562, mflops=134.567 (err=1.1e-15)
12. Frigo-old: elapsed time t=1.75717 s, 2048 iters, t-(init.)=1.72875 s
    t(norm)=0.0824334, mflops=60.655 (err=1.1e-15)
13. Green: elapsed time t=1.37874 s, 8192 iters, t-(init.)=1.26538 s
    t(norm)=0.0150846, mflops=331.465 (err=1.1e-15)
14. GSL: elapsed time t=1.23908 s, 1024 iters, t-(init.)=1.22484 s
    t(norm)=0.11681, mflops=42.8045 (err=1.1e-15)
15. GSL DIT: elapsed time t=1.29019 s, 2048 iters, t-(init.)=1.26184 s
    t(norm)=0.0601692, mflops=83.099 (err=1.3e-15)
16. GSL DIF: elapsed time t=1.12765 s, 2048 iters, t-(init.)=1.09932 s
    t(norm)=0.0524197, mflops=95.3841 (err=1.4e-15)
17. Krukar: elapsed time t=1.90191 s, 2048 iters, t-(init.)=1.87349 s
    t(norm)=0.0893349, mflops=55.9692 (err=1.1e-15)
18. Mayer (Buneman): elapsed time t=1.12684 s, 2048 iters, 
t-(init.)=1.09856 s
    t(norm)=0.0523835, mflops=95.4499 (err=1.0e-15)
19. Mayer (simple): elapsed time t=1.7248 s, 4096 iters, 
t-(init.)=1.66813 s
    t(norm)=0.0397713, mflops=125.719
20. Mayer (lookup): elapsed time t=1.66841 s, 4096 iters, 
t-(init.)=1.61165 s
    t(norm)=0.0384248, mflops=130.124 (err=1.0e-15)
21. NAPACK (f2c): elapsed time t=1.30821 s, 512 iters, t-(init.)=1.30102 s
    t(norm)=0.248149, mflops=20.1491 (err=1.6e-14)
22. Nielsen: elapsed time t=1.57366 s, 1024 iters, t-(init.)=1.55909 s
    t(norm)=0.148687, mflops=33.6278 (err=7.2e-15)
23. NR (C): elapsed time t=1.13681 s, 2048 iters, t-(init.)=1.10842 s
    t(norm)=0.0528537, mflops=94.6007 (err=1.2e-15)
24. Ooura (C): elapsed time t=1.9951 s, 8192 iters, t-(init.)=1.88197 s
    t(norm)=0.0224349, mflops=222.868 (err=1.1e-15)
25. QFT: elapsed time t=1.05458 s, 512 iters, t-(init.)=1.04714 s
    t(norm)=0.199727, mflops=25.0342 (err=1.4e-15)
26. Ransom: elapsed time t=1.45267 s, 2048 iters, t-(init.)=1.42427 s
    t(norm)=0.0679146, mflops=73.6218 (err=2.1e-15)
27. Singleton (f2c): elapsed time t=1.14153 s, 4096 iters, 
t-(init.)=1.08495 s
    t(norm)=0.0258673, mflops=193.294 (err=1.6e-15)
28. Temperton (f2c): elapsed time t=1.91545 s, 1024 iters, 
t-(init.)=1.90129 s
    t(norm)=0.181321, mflops=27.5754 (err=1.1e-15)
29. Valkenburg: elapsed time t=1.41823 s, 256 iters, t-(init.)=1.4147 s
    t(norm)=0.539665, mflops=9.265 (err=1.1e-15)

Top mflops for N=1024 = 331.465
Normalized results and averages for N=1024:
  fft 0: mflops = 119.201 (norm. = 0.35962), norm. avg. (of 10) = 0.369873
  fft 1: mflops = 118.815 (norm. = 0.358454), norm. avg. (of 10) = 
0.368262
  fft 2: mflops = 85.209 (norm. = 0.257068), norm. avg. (of 10) = 0.229037
  fft 3: mflops = 43.7709 (norm. = 0.132053), norm. avg. (of 10) = 
0.0778431
  fft 4: mflops = 20.1457 (norm. = 0.0607777), norm. avg. (of 10) = 
0.0667418
  fft 5: mflops = 158.174 (norm. = 0.477197), norm. avg. (of 10) = 
0.302144
  fft 6: mflops = 144.678 (norm. = 0.436481), norm. avg. (of 10) = 
0.300197
  fft 7: mflops = 144.659 (norm. = 0.436424), norm. avg. (of 10) = 
0.346166
  fft 8: mflops = 63.3344 (norm. = 0.191074), norm. avg. (of 9) = 0.160733
  fft 9: mflops = 27.6381 (norm. = 0.0833816), norm. avg. (of 10) = 
0.136928
  fft 10: mflops = 135.953 (norm. = 0.410157), norm. avg. (of 10) = 
0.840525
  fft 11: mflops = 134.567 (norm. = 0.405976), norm. avg. (of 10) = 
0.812706
  fft 12: mflops = 60.655 (norm. = 0.182991), norm. avg. (of 10) = 
0.806648
  fft 13: mflops = 331.465 (norm. = 1), norm. avg. (of 8) = 0.751238
  fft 14: mflops = 42.8045 (norm. = 0.129137), norm. avg. (of 10) = 
0.236535
  fft 15: mflops = 83.099 (norm. = 0.250702), norm. avg. (of 10) = 
0.200249
  fft 16: mflops = 95.3841 (norm. = 0.287765), norm. avg. (of 10) = 
0.209727
  fft 17: mflops = 55.9692 (norm. = 0.168854), norm. avg. (of 10) = 
0.361808
  fft 18: mflops = 95.4499 (norm. = 0.287964), norm. avg. (of 9) = 
0.244071
  fft 19: mflops = 125.719 (norm. = 0.379282), norm. avg. (of 9) = 
0.302165
  fft 20: mflops = 130.124 (norm. = 0.392573), norm. avg. (of 9) = 
0.307328
  fft 21: mflops = 20.1491 (norm. = 0.0607882), norm. avg. (of 10) = 
0.0601633
  fft 22: mflops = 33.6278 (norm. = 0.101452), norm. avg. (of 10) = 
0.0902563
  fft 23: mflops = 94.6007 (norm. = 0.285402), norm. avg. (of 10) = 
0.219913
  fft 24: mflops = 222.868 (norm. = 0.672371), norm. avg. (of 10) = 0.5823
  fft 25: mflops = 25.0342 (norm. = 0.075526), norm. avg. (of 7) = 
0.230692
  fft 26: mflops = 73.6218 (norm. = 0.222111), norm. avg. (of 9) = 
0.115264
  fft 27: mflops = 193.294 (norm. = 0.583152), norm. avg. (of 10) = 
0.352487
  fft 28: mflops = 27.5754 (norm. = 0.0831926), norm. avg. (of 10) = 
0.0722845
  fft 29: mflops = 9.265 (norm. = 0.0279517), norm. avg. (of 10) = 
0.0485342

Benchmarking for array size = 2048 (power of 2):
0. Arndt DIF: elapsed time t=1.05783 s, 1024 iters, t-(init.)=1.02769 s
    t(norm)=0.0445493, mflops=112.235 (err=1.4e-15)
1. Arndt DIT: elapsed time t=1.08902 s, 1024 iters, t-(init.)=1.0588 s
    t(norm)=0.0458977, mflops=108.938 (err=1.4e-15)
2. Arndt Split-Radix: elapsed time t=1.56031 s, 1024 iters, 
t-(init.)=1.52978 s
    t(norm)=0.0663144, mflops=75.3985 (err=1.4e-15)
3. Arndt 4-step: elapsed time t=1.53224 s, 512 iters, t-(init.)=1.51689 s
    t(norm)=0.131511, mflops=38.0197 (err=1.4e-15)
4. Beauregard: elapsed time t=1.50049 s, 256 iters, t-(init.)=1.49311 s
    t(norm)=0.258898, mflops=19.3126 (err=1.5e-15)
5. Bergland: elapsed time t=1.71333 s, 2048 iters, t-(init.)=1.65276 s
    t(norm)=0.0358226, mflops=139.577 (err=1.5e-15)
6. CWP (min N) (N=2145): elapsed time t=1.20577 s, 1024 iters, 
t-(init.)=1.12815 s
    t(norm)=0.048904, mflops=102.241
7. CWP (best N) (N=2184): elapsed time t=1.09243 s, 1024 iters, 
t-(init.)=0.996309 s
    t(norm)=0.0431888, mflops=115.771
8. Edelblute: elapsed time t=1.99185 s, 1024 iters, t-(init.)=1.96133 s
    t(norm)=0.0850212, mflops=58.8088 (err=1.4e-15)
9. FFTPACK (f2c): elapsed time t=1.84189 s, 256 iters, t-(init.)=1.83379 s
    t(norm)=0.317971, mflops=15.7247 (err=1.5e-15)

FFTW_MEASURE plan: (cost = 1.111844e-03)
FFTW_TWIDDLE 32
FFTW_NOTW 64

10. FFTW: elapsed time t=1.3544 s, 512 iters, t-(init.)=1.33869 s
    t(norm)=0.116062, mflops=43.0806 (err=1.5e-15)

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

11. FFTW_ESTIMATE: elapsed time t=1.36131 s, 512 iters, t-(init.)=1.34562 
s
    t(norm)=0.116662, mflops=42.8589 (err=1.5e-15)
12. Frigo-old: elapsed time t=1.09922 s, 256 iters, t-(init.)=1.09128 s
    t(norm)=0.189223, mflops=26.4238 (err=1.5e-15)
13. Green: elapsed time t=1.68733 s, 2048 iters, t-(init.)=1.62667 s
    t(norm)=0.0352571, mflops=141.815 (err=1.5e-15)
14. GSL: elapsed time t=1.4773 s, 256 iters, t-(init.)=1.46944 s
    t(norm)=0.254794, mflops=19.6237 (err=1.5e-15)
15. GSL DIT: elapsed time t=1.59107 s, 1024 iters, t-(init.)=1.56071 s
    t(norm)=0.067655, mflops=73.9043 (err=2.1e-15)
16. GSL DIF: elapsed time t=1.37796 s, 1024 iters, t-(init.)=1.34768 s
    t(norm)=0.0584203, mflops=85.5867 (err=2.2e-15)
17. Krukar: elapsed time t=1.24415 s, 512 iters, t-(init.)=1.22883 s
    t(norm)=0.106536, mflops=46.9324 (err=1.5e-15)
18. Mayer (Buneman): elapsed time t=1.24664 s, 1024 iters, 
t-(init.)=1.21623 s
    t(norm)=0.0527222, mflops=94.8366 (err=1.4e-15)
19. Mayer (simple): elapsed time t=1.91962 s, 2048 iters, 
t-(init.)=1.85891 s
    t(norm)=0.0402907, mflops=124.098
20. Mayer (lookup): elapsed time t=1.25257 s, 1024 iters, 
t-(init.)=1.22209 s
    t(norm)=0.0529762, mflops=94.3821 (err=1.4e-15)
21. NAPACK (f2c): elapsed time t=1.33021 s, 64 iters, t-(init.)=1.32818 s
    t(norm)=0.921203, mflops=5.42769 (err=1.5e-14)
22. Nielsen: elapsed time t=1.30163 s, 256 iters, t-(init.)=1.29312 s
    t(norm)=0.224222, mflops=22.2994 (err=1.2e-14)
23. NR (C): elapsed time t=1.42834 s, 1024 iters, t-(init.)=1.39809 s
    t(norm)=0.0606054, mflops=82.5008 (err=1.6e-15)
24. Ooura (C): elapsed time t=1.10506 s, 1024 iters, t-(init.)=1.07477 s
    t(norm)=0.0465899, mflops=107.319 (err=1.4e-15)
25. QFT: elapsed time t=1.24577 s, 256 iters, t-(init.)=1.2376 s
    t(norm)=0.214594, mflops=23.2998 (err=1.9e-15)
26. Ransom: elapsed time t=1.0598 s, 512 iters, t-(init.)=1.04453 s
    t(norm)=0.090558, mflops=55.2133 (err=2.6e-15)
27. Singleton (f2c): elapsed time t=1.68156 s, 2048 iters, 
t-(init.)=1.62103 s
    t(norm)=0.0351349, mflops=142.309 (err=2.0e-15)
28. Temperton (f2c): elapsed time t=1.4404 s, 256 iters, 
t-(init.)=1.43288 s
    t(norm)=0.248454, mflops=20.1244 (err=1.5e-15)
29. Valkenburg: elapsed time t=1.16633 s, 64 iters, t-(init.)=1.16433 s
    t(norm)=0.807558, mflops=6.1915 (err=1.5e-15)

Top mflops for N=2048 = 142.309
Normalized results and averages for N=2048:
  fft 0: mflops = 112.235 (norm. = 0.788674), norm. avg. (of 11) = 
0.407946
  fft 1: mflops = 108.938 (norm. = 0.765504), norm. avg. (of 11) = 
0.404375
  fft 2: mflops = 75.3985 (norm. = 0.529823), norm. avg. (of 11) = 
0.256382
  fft 3: mflops = 38.0197 (norm. = 0.267163), norm. avg. (of 11) = 
0.095054
  fft 4: mflops = 19.3126 (norm. = 0.135709), norm. avg. (of 11) = 
0.0730115
  fft 5: mflops = 139.577 (norm. = 0.980801), norm. avg. (of 11) = 0.36384
  fft 6: mflops = 102.241 (norm. = 0.718445), norm. avg. (of 11) = 0.33822
  fft 7: mflops = 115.771 (norm. = 0.813517), norm. avg. (of 11) = 
0.388653
  fft 8: mflops = 58.8088 (norm. = 0.413248), norm. avg. (of 10) = 
0.185984
  fft 9: mflops = 15.7247 (norm. = 0.110497), norm. avg. (of 11) = 
0.134525
  fft 10: mflops = 43.0806 (norm. = 0.302726), norm. avg. (of 11) = 
0.791634
  fft 11: mflops = 42.8589 (norm. = 0.301169), norm. avg. (of 11) = 
0.766203
  fft 12: mflops = 26.4238 (norm. = 0.18568), norm. avg. (of 11) = 
0.750196
  fft 13: mflops = 141.815 (norm. = 0.996532), norm. avg. (of 9) = 
0.778493
  fft 14: mflops = 19.6237 (norm. = 0.137895), norm. avg. (of 11) = 
0.227568
  fft 15: mflops = 73.9043 (norm. = 0.519324), norm. avg. (of 11) = 
0.229256
  fft 16: mflops = 85.5867 (norm. = 0.601416), norm. avg. (of 11) = 
0.245335
  fft 17: mflops = 46.9324 (norm. = 0.329792), norm. avg. (of 11) = 
0.358898
  fft 18: mflops = 94.8366 (norm. = 0.666414), norm. avg. (of 10) = 
0.286305
  fft 19: mflops = 124.098 (norm. = 0.872034), norm. avg. (of 10) = 
0.359152
  fft 20: mflops = 94.3821 (norm. = 0.66322), norm. avg. (of 10) = 
0.342917
  fft 21: mflops = 5.42769 (norm. = 0.0381402), norm. avg. (of 11) = 
0.0581612
  fft 22: mflops = 22.2994 (norm. = 0.156697), norm. avg. (of 11) = 
0.0962964
  fft 23: mflops = 82.5008 (norm. = 0.579731), norm. avg. (of 11) = 
0.252624
  fft 24: mflops = 107.319 (norm. = 0.75413), norm. avg. (of 11) = 
0.597921
  fft 25: mflops = 23.2998 (norm. = 0.163727), norm. avg. (of 8) = 
0.222321
  fft 26: mflops = 55.2133 (norm. = 0.387982), norm. avg. (of 10) = 
0.142536
  fft 27: mflops = 142.309 (norm. = 1), norm. avg. (of 11) = 0.411352
  fft 28: mflops = 20.1244 (norm. = 0.141414), norm. avg. (of 11) = 
0.078569
  fft 29: mflops = 6.1915 (norm. = 0.0435075), norm. avg. (of 11) = 
0.0480773

Benchmarking for array size = 4096 (power of 2):
0. Arndt DIF: elapsed time t=1.4379 s, 128 iters, t-(init.)=1.38207 s
    t(norm)=0.219674, mflops=22.761 (err=2.5e-15)
1. Arndt DIT: elapsed time t=1.51944 s, 128 iters, t-(init.)=1.46404 s
    t(norm)=0.232702, mflops=21.4867 (err=2.5e-15)
2. Arndt Split-Radix: elapsed time t=1.80081 s, 128 iters, 
t-(init.)=1.74515 s
    t(norm)=0.277383, mflops=18.0256 (err=2.5e-15)
3. Arndt 4-step: elapsed time t=1.14121 s, 128 iters, t-(init.)=1.08546 s
    t(norm)=0.172529, mflops=28.9807 (err=2.5e-15)
4. Beauregard: elapsed time t=1.994 s, 128 iters, t-(init.)=1.93826 s
    t(norm)=0.308078, mflops=16.2296 (err=2.6e-15)
5. Bergland: elapsed time t=1.31886 s, 256 iters, t-(init.)=1.20813 s
    t(norm)=0.0960139, mflops=52.0758 (err=2.5e-15)
6. CWP (min N) (N=4290): elapsed time t=1.96875 s, 512 iters, 
t-(init.)=1.73638 s
    t(norm)=0.0689974, mflops=72.4665
7. CWP (best N) (N=4368): elapsed time t=1.68496 s, 512 iters, 
t-(init.)=1.44848 s
    t(norm)=0.0575574, mflops=86.8698
8. Edelblute: elapsed time t=1.89028 s, 128 iters, t-(init.)=1.83489 s
    t(norm)=0.291647, mflops=17.144 (err=2.5e-15)
9. FFTPACK (f2c): elapsed time t=1.90091 s, 128 iters, t-(init.)=1.84502 s
    t(norm)=0.293259, mflops=17.0498 (err=2.6e-15)

FFTW_MEASURE plan: (cost = 2.563375e-03)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 16
FFTW_NOTW 64

10. FFTW: elapsed time t=1.5073 s, 256 iters, t-(init.)=1.39542 s
    t(norm)=0.110898, mflops=45.0866 (err=2.6e-15)

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

11. FFTW_ESTIMATE: elapsed time t=1.59947 s, 256 iters, t-(init.)=1.48778 
s
    t(norm)=0.118238, mflops=42.2877 (err=2.6e-15)
12. Frigo-old: elapsed time t=1.20145 s, 128 iters, t-(init.)=1.14609 s
    t(norm)=0.182166, mflops=27.4475 (err=2.6e-15)
13. Green: elapsed time t=1.26866 s, 256 iters, t-(init.)=1.15741 s
    t(norm)=0.0919829, mflops=54.3579 (err=2.6e-15)
14. GSL: elapsed time t=1.44447 s, 128 iters, t-(init.)=1.38902 s
    t(norm)=0.220779, mflops=22.6471 (err=2.6e-15)
15. GSL DIT: elapsed time t=1.4498 s, 128 iters, t-(init.)=1.39423 s
    t(norm)=0.221608, mflops=22.5624 (err=3.0e-15)
16. GSL DIF: elapsed time t=1.43601 s, 128 iters, t-(init.)=1.38084 s
    t(norm)=0.219479, mflops=22.7812 (err=3.1e-15)
17. Krukar: elapsed time t=1.58406 s, 256 iters, t-(init.)=1.47296 s
    t(norm)=0.11706, mflops=42.713 (err=2.6e-15)
18. Mayer (Buneman): elapsed time t=1.72403 s, 512 iters, 
t-(init.)=1.50237 s
    t(norm)=0.0596989, mflops=83.7536 (err=2.5e-15)
19. Mayer (simple): elapsed time t=1.38075 s, 512 iters, 
t-(init.)=1.15907 s
    t(norm)=0.0460573, mflops=108.561
20. Mayer (lookup): elapsed time t=1.21896 s, 256 iters, 
t-(init.)=1.10869 s
    t(norm)=0.0881104, mflops=56.747 (err=2.5e-15)
21. NAPACK (f2c): elapsed time t=1.39443 s, 32 iters, t-(init.)=1.37976 s
    t(norm)=0.877229, mflops=5.69977 (err=4.7e-14)
22. Nielsen: elapsed time t=1.84809 s, 128 iters, t-(init.)=1.79133 s
    t(norm)=0.284725, mflops=17.5608 (err=2.2e-14)
23. NR (C): elapsed time t=1.42647 s, 128 iters, t-(init.)=1.37085 s
    t(norm)=0.217891, mflops=22.9473 (err=2.6e-15)
24. Ooura (C): elapsed time t=1.17554 s, 256 iters, t-(init.)=1.06455 s
    t(norm)=0.084603, mflops=59.0996 (err=2.5e-15)
25. QFT: elapsed time t=1.50038 s, 128 iters, t-(init.)=1.44357 s
    t(norm)=0.229449, mflops=21.7914 (err=3.1e-15)
26. Ransom: elapsed time t=1.27631 s, 256 iters, t-(init.)=1.16555 s
    t(norm)=0.0926296, mflops=53.9784 (err=3.1e-15)
27. Singleton (f2c): elapsed time t=1.50264 s, 256 iters, 
t-(init.)=1.39174 s
    t(norm)=0.110605, mflops=45.2057 (err=3.8e-15)
28. Temperton (f2c): elapsed time t=1.70124 s, 128 iters, 
t-(init.)=1.64566 s
    t(norm)=0.26157, mflops=19.1153 (err=2.6e-15)
29. Valkenburg: elapsed time t=1.39236 s, 32 iters, t-(init.)=1.37841 s
    t(norm)=0.87637, mflops=5.70535 (err=2.5e-15)

Top mflops for N=4096 = 108.561
Normalized results and averages for N=4096:
  fft 0: mflops = 22.761 (norm. = 0.209662), norm. avg. (of 12) = 0.391422
  fft 1: mflops = 21.4867 (norm. = 0.197924), norm. avg. (of 12) = 0.38717
  fft 2: mflops = 18.0256 (norm. = 0.166042), norm. avg. (of 12) = 
0.248853
  fft 3: mflops = 28.9807 (norm. = 0.266954), norm. avg. (of 12) = 
0.109379
  fft 4: mflops = 16.2296 (norm. = 0.149498), norm. avg. (of 12) = 
0.0793855
  fft 5: mflops = 52.0758 (norm. = 0.479694), norm. avg. (of 12) = 
0.373495
  fft 6: mflops = 72.4665 (norm. = 0.667522), norm. avg. (of 12) = 
0.365662
  fft 7: mflops = 86.8698 (norm. = 0.800197), norm. avg. (of 12) = 
0.422948
  fft 8: mflops = 17.144 (norm. = 0.157921), norm. avg. (of 11) = 0.183433
  fft 9: mflops = 17.0498 (norm. = 0.157053), norm. avg. (of 12) = 
0.136402
  fft 10: mflops = 45.0866 (norm. = 0.415313), norm. avg. (of 12) = 
0.760274
  fft 11: mflops = 42.2877 (norm. = 0.389531), norm. avg. (of 12) = 
0.734813
  fft 12: mflops = 27.4475 (norm. = 0.252832), norm. avg. (of 12) = 
0.708749
  fft 13: mflops = 54.3579 (norm. = 0.500715), norm. avg. (of 10) = 
0.750715
  fft 14: mflops = 22.6471 (norm. = 0.208612), norm. avg. (of 12) = 
0.225988
  fft 15: mflops = 22.5624 (norm. = 0.207833), norm. avg. (of 12) = 
0.227471
  fft 16: mflops = 22.7812 (norm. = 0.209848), norm. avg. (of 12) = 
0.242378
  fft 17: mflops = 42.713 (norm. = 0.393449), norm. avg. (of 12) = 
0.361777
  fft 18: mflops = 83.7536 (norm. = 0.771492), norm. avg. (of 11) = 
0.330413
  fft 19: mflops = 108.561 (norm. = 1), norm. avg. (of 11) = 0.417411
  fft 20: mflops = 56.747 (norm. = 0.522722), norm. avg. (of 11) = 
0.359263
  fft 21: mflops = 5.69977 (norm. = 0.0525031), norm. avg. (of 12) = 
0.0576897
  fft 22: mflops = 17.5608 (norm. = 0.161761), norm. avg. (of 12) = 
0.101752
  fft 23: mflops = 22.9473 (norm. = 0.211378), norm. avg. (of 12) = 
0.249186
  fft 24: mflops = 59.0996 (norm. = 0.544393), norm. avg. (of 12) = 
0.59346
  fft 25: mflops = 21.7914 (norm. = 0.20073), norm. avg. (of 9) = 0.219922
  fft 26: mflops = 53.9784 (norm. = 0.49722), norm. avg. (of 11) = 0.17478
  fft 27: mflops = 45.2057 (norm. = 0.41641), norm. avg. (of 12) = 
0.411774
  fft 28: mflops = 19.1153 (norm. = 0.17608), norm. avg. (of 12) = 
0.0866949
  fft 29: mflops = 5.70535 (norm. = 0.0525546), norm. avg. (of 12) = 
0.0484504

Benchmarking for array size = 8192 (power of 2):
0. Arndt DIF: elapsed time t=1.45907 s, 64 iters, t-(init.)=1.40309 s
    t(norm)=0.205861, mflops=24.2882 (err=3.0e-15)
1. Arndt DIT: elapsed time t=1.54525 s, 64 iters, t-(init.)=1.48952 s
    t(norm)=0.218542, mflops=22.8789 (err=3.0e-15)
2. Arndt Split-Radix: elapsed time t=1.03777 s, 32 iters, 
t-(init.)=1.01004 s
    t(norm)=0.296383, mflops=16.8701 (err=3.0e-15)
3. Arndt 4-step: elapsed time t=1.4618 s, 64 iters, t-(init.)=1.40634 s
    t(norm)=0.206337, mflops=24.2322 (err=2.9e-15)
4. Beauregard: elapsed time t=1.08554 s, 32 iters, t-(init.)=1.05746 s
    t(norm)=0.310298, mflops=16.1135 (err=2.9e-15)
5. Bergland: elapsed time t=1.5606 s, 128 iters, t-(init.)=1.44927 s
    t(norm)=0.106318, mflops=47.0286 (err=2.9e-15)
6. CWP (min N) (N=8580): elapsed time t=1.04581 s, 128 iters, 
t-(init.)=0.929636 s
    t(norm)=0.0681977, mflops=73.3163
7. CWP (best N) (N=9240): elapsed time t=1.95084 s, 256 iters, 
t-(init.)=1.70044 s
    t(norm)=0.0623718, mflops=80.1645
8. Edelblute: elapsed time t=1.07825 s, 32 iters, t-(init.)=1.05036 s
    t(norm)=0.308215, mflops=16.2224 (err=3.0e-15)
9. FFTPACK (f2c): elapsed time t=1.20721 s, 32 iters, t-(init.)=1.17934 s
    t(norm)=0.346062, mflops=14.4483 (err=2.9e-15)

FFTW_MEASURE plan: (cost = 6.030625e-03)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 16
FFTW_TWIDDLE 4
FFTW_NOTW 32

10. FFTW: elapsed time t=1.61597 s, 128 iters, t-(init.)=1.50264 s
    t(norm)=0.110233, mflops=45.3585 (err=2.9e-15)

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

11. FFTW_ESTIMATE: elapsed time t=1.61698 s, 128 iters, t-(init.)=1.50411 
s
    t(norm)=0.11034, mflops=45.3143 (err=2.9e-15)
12. Frigo-old: elapsed time t=1.22837 s, 64 iters, t-(init.)=1.17256 s
    t(norm)=0.172037, mflops=29.0635 (err=2.9e-15)
13. Green: elapsed time t=1.39134 s, 128 iters, t-(init.)=1.27991 s
    t(norm)=0.093894, mflops=53.2515 (err=2.9e-15)
14. GSL: elapsed time t=1.98796 s, 64 iters, t-(init.)=1.93212 s
    t(norm)=0.283479, mflops=17.638 (err=2.9e-15)
15. GSL DIT: elapsed time t=1.58504 s, 64 iters, t-(init.)=1.52954 s
    t(norm)=0.224412, mflops=22.2804 (err=3.6e-15)
16. GSL DIF: elapsed time t=1.56841 s, 64 iters, t-(init.)=1.51271 s
    t(norm)=0.221943, mflops=22.5283 (err=3.6e-15)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.38305 s, 64 iters, 
t-(init.)=1.32776 s
    t(norm)=0.194808, mflops=25.6663 (err=2.9e-15)
19. Mayer (simple): elapsed time t=1.31214 s, 64 iters, t-(init.)=1.25667 
s
    t(norm)=0.184377, mflops=27.1183
20. Mayer (lookup): elapsed time t=1.5482 s, 64 iters, t-(init.)=1.49257 s
    t(norm)=0.218989, mflops=22.8322 (err=3.0e-15)
21. NAPACK (f2c): elapsed time t=1.55661 s, 16 iters, t-(init.)=1.54254 s
    t(norm)=0.90528, mflops=5.52315 (err=4.3e-14)
22. Nielsen: elapsed time t=1.07139 s, 32 iters, t-(init.)=1.04159 s
    t(norm)=0.305641, mflops=16.359 (err=1.1e-14)
23. NR (C): elapsed time t=1.55942 s, 64 iters, t-(init.)=1.50388 s
    t(norm)=0.220648, mflops=22.6605 (err=3.0e-15)
24. Ooura (C): elapsed time t=1.30803 s, 128 iters, t-(init.)=1.19663 s
    t(norm)=0.087784, mflops=56.958 (err=2.9e-15)
25. QFT: elapsed time t=1.79928 s, 64 iters, t-(init.)=1.74142 s
    t(norm)=0.2555, mflops=19.5695 (err=4.0e-15)
26. Ransom: elapsed time t=1.64102 s, 128 iters, t-(init.)=1.52948 s
    t(norm)=0.112202, mflops=44.5624 (err=4.1e-15)
27. Singleton (f2c): elapsed time t=1.76322 s, 128 iters, 
t-(init.)=1.6523 s
    t(norm)=0.121212, mflops=41.25 (err=4.4e-15)
28. Temperton (f2c): elapsed time t=1.96627 s, 64 iters, 
t-(init.)=1.91092 s
    t(norm)=0.280369, mflops=17.8337 (err=2.9e-15)
29. Valkenburg: elapsed time t=1.5859 s, 16 iters, t-(init.)=1.57193 s
    t(norm)=0.922527, mflops=5.4199 (err=2.9e-15)

Top mflops for N=8192 = 80.1645
Normalized results and averages for N=8192:
  fft 0: mflops = 24.2882 (norm. = 0.30298), norm. avg. (of 13) = 0.384619
  fft 1: mflops = 22.8789 (norm. = 0.2854), norm. avg. (of 13) = 0.379342
  fft 2: mflops = 16.8701 (norm. = 0.210443), norm. avg. (of 13) = 
0.245899
  fft 3: mflops = 24.2322 (norm. = 0.30228), norm. avg. (of 13) = 0.124218
  fft 4: mflops = 16.1135 (norm. = 0.201006), norm. avg. (of 13) = 
0.0887409
  fft 5: mflops = 47.0286 (norm. = 0.586652), norm. avg. (of 13) = 
0.389892
  fft 6: mflops = 73.3163 (norm. = 0.914573), norm. avg. (of 13) = 
0.407886
  fft 7: mflops = 80.1645 (norm. = 1), norm. avg. (of 13) = 0.467337
  fft 8: mflops = 16.2224 (norm. = 0.202364), norm. avg. (of 12) = 
0.185011
  fft 9: mflops = 14.4483 (norm. = 0.180233), norm. avg. (of 13) = 
0.139774
  fft 10: mflops = 45.3585 (norm. = 0.565818), norm. avg. (of 13) = 
0.745316
  fft 11: mflops = 45.3143 (norm. = 0.565266), norm. avg. (of 13) = 
0.721771
  fft 12: mflops = 29.0635 (norm. = 0.362548), norm. avg. (of 13) = 
0.682118
  fft 13: mflops = 53.2515 (norm. = 0.664278), norm. avg. (of 11) = 
0.742857
  fft 14: mflops = 17.638 (norm. = 0.220022), norm. avg. (of 13) = 
0.225529
  fft 15: mflops = 22.2804 (norm. = 0.277934), norm. avg. (of 13) = 
0.231352
  fft 16: mflops = 22.5283 (norm. = 0.281026), norm. avg. (of 13) = 
0.24535
  fft 17: mflops = -1 (norm. = -0.0124744), norm. avg. (of 12) = 0.361777
  fft 18: mflops = 25.6663 (norm. = 0.32017), norm. avg. (of 12) = 
0.329559
  fft 19: mflops = 27.1183 (norm. = 0.338283), norm. avg. (of 12) = 
0.410817
  fft 20: mflops = 22.8322 (norm. = 0.284817), norm. avg. (of 12) = 
0.353059
  fft 21: mflops = 5.52315 (norm. = 0.0688978), norm. avg. (of 13) = 
0.0585518
  fft 22: mflops = 16.359 (norm. = 0.204068), norm. avg. (of 13) = 
0.109622
  fft 23: mflops = 22.6605 (norm. = 0.282675), norm. avg. (of 13) = 
0.251762
  fft 24: mflops = 56.958 (norm. = 0.710514), norm. avg. (of 13) = 
0.602464
  fft 25: mflops = 19.5695 (norm. = 0.244116), norm. avg. (of 10) = 
0.222342
  fft 26: mflops = 44.5624 (norm. = 0.555887), norm. avg. (of 12) = 
0.206539
  fft 27: mflops = 41.25 (norm. = 0.514567), norm. avg. (of 13) = 0.419681
  fft 28: mflops = 17.8337 (norm. = 0.222463), norm. avg. (of 13) = 
0.0971386
  fft 29: mflops = 5.4199 (norm. = 0.0676097), norm. avg. (of 13) = 
0.0499242

Benchmarking for array size = 16384 (power of 2):
0. Arndt DIF: elapsed time t=1.73714 s, 32 iters, t-(init.)=1.68163 s
    t(norm)=0.229105, mflops=21.8241 (err=5.6e-15)
1. Arndt DIT: elapsed time t=1.83619 s, 32 iters, t-(init.)=1.7808 s
    t(norm)=0.242615, mflops=20.6088 (err=5.6e-15)
2. Arndt Split-Radix: elapsed time t=1.12235 s, 16 iters, 
t-(init.)=1.09417 s
    t(norm)=0.298137, mflops=16.7708 (err=5.6e-15)
3. Arndt 4-step: elapsed time t=1.24272 s, 32 iters, t-(init.)=1.18703 s
    t(norm)=0.16172, mflops=30.9176 (err=5.6e-15)
4. Beauregard: elapsed time t=1.16676 s, 16 iters, t-(init.)=1.13884 s
    t(norm)=0.31031, mflops=16.1129 (err=5.7e-15)
5. Bergland: elapsed time t=1.56566 s, 64 iters, t-(init.)=1.45447 s
    t(norm)=0.0990782, mflops=50.4652 (err=5.7e-15)
6. CWP (min N) (N=17160): elapsed time t=1.04158 s, 64 iters, 
t-(init.)=0.924754 s
    t(norm)=0.0629939, mflops=79.3728
7. CWP (best N) (N=17160): elapsed time t=1.04237 s, 64 iters, 
t-(init.)=0.92549 s
    t(norm)=0.063044, mflops=79.3097
8. Edelblute: elapsed time t=1.1628 s, 16 iters, t-(init.)=1.13504 s
    t(norm)=0.309273, mflops=16.1669 (err=5.6e-15)
9. FFTPACK (f2c): elapsed time t=1.2515 s, 16 iters, t-(init.)=1.2237 s
    t(norm)=0.333433, mflops=14.9955 (err=5.7e-15)

FFTW_MEASURE plan: (cost = 1.456450e-02)
FFTW_TWIDDLE 64
FFTW_TWIDDLE 4
FFTW_NOTW 64

10. FFTW: elapsed time t=1.80683 s, 64 iters, t-(init.)=1.69144 s
    t(norm)=0.11522, mflops=43.3952 (err=5.7e-15)

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

11. FFTW_ESTIMATE: elapsed time t=1.70901 s, 64 iters, t-(init.)=1.5933 s
    t(norm)=0.108535, mflops=46.0682 (err=5.7e-15)
12. Frigo-old: elapsed time t=1.40622 s, 32 iters, t-(init.)=1.35062 s
    t(norm)=0.184008, mflops=27.1727 (err=5.7e-15)
13. Green: elapsed time t=1.52941 s, 64 iters, t-(init.)=1.41802 s
    t(norm)=0.0965949, mflops=51.7625 (err=5.7e-15)
14. GSL: elapsed time t=1.96114 s, 32 iters, t-(init.)=1.90558 s
    t(norm)=0.259614, mflops=19.2594 (err=5.7e-15)
15. GSL DIT: elapsed time t=1.69964 s, 32 iters, t-(init.)=1.6436 s
    t(norm)=0.223923, mflops=22.3291 (err=6.3e-15)
16. GSL DIF: elapsed time t=1.68398 s, 32 iters, t-(init.)=1.62842 s
    t(norm)=0.221855, mflops=22.5372 (err=6.4e-15)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.52977 s, 32 iters, 
t-(init.)=1.47387 s
    t(norm)=0.200799, mflops=24.9005 (err=5.6e-15)
19. Mayer (simple): elapsed time t=1.46238 s, 32 iters, t-(init.)=1.40699 
s
    t(norm)=0.191688, mflops=26.0841
20. Mayer (lookup): elapsed time t=1.6859 s, 32 iters, t-(init.)=1.63034 s
    t(norm)=0.222117, mflops=22.5107 (err=5.6e-15)
21. NAPACK (f2c): elapsed time t=1.62402 s, 8 iters, t-(init.)=1.60568 s
    t(norm)=0.875028, mflops=5.7141 (err=2.3e-13)
22. Nielsen: elapsed time t=1.07973 s, 16 iters, t-(init.)=1.04752 s
    t(norm)=0.285425, mflops=17.5177 (err=1.3e-13)
23. NR (C): elapsed time t=1.68063 s, 32 iters, t-(init.)=1.62514 s
    t(norm)=0.221408, mflops=22.5828 (err=5.6e-15)
24. Ooura (C): elapsed time t=1.32549 s, 64 iters, t-(init.)=1.21435 s
    t(norm)=0.082721, mflops=60.4442 (err=5.7e-15)
25. QFT: elapsed time t=1.0639 s, 16 iters, t-(init.)=1.03148 s
    t(norm)=0.281057, mflops=17.79 (err=7.0e-15)
26. Ransom: elapsed time t=1.3011 s, 64 iters, t-(init.)=1.19015 s
    t(norm)=0.0810727, mflops=61.6731 (err=6.0e-15)
27. Singleton (f2c): elapsed time t=1.74913 s, 64 iters, 
t-(init.)=1.63786 s
    t(norm)=0.11157, mflops=44.8147 (err=8.5e-15)
28. Temperton (f2c): elapsed time t=1.97089 s, 32 iters, 
t-(init.)=1.91526 s
    t(norm)=0.260934, mflops=19.1619 (err=5.7e-15)
29. Valkenburg: elapsed time t=1.78215 s, 8 iters, t-(init.)=1.76809 s
    t(norm)=0.963534, mflops=5.18923 (err=5.7e-15)

Top mflops for N=16384 = 79.3728
Normalized results and averages for N=16384:
  fft 0: mflops = 21.8241 (norm. = 0.274957), norm. avg. (of 14) = 
0.376786
  fft 1: mflops = 20.6088 (norm. = 0.259646), norm. avg. (of 14) = 
0.370792
  fft 2: mflops = 16.7708 (norm. = 0.211292), norm. avg. (of 14) = 
0.243427
  fft 3: mflops = 30.9176 (norm. = 0.389523), norm. avg. (of 14) = 
0.143168
  fft 4: mflops = 16.1129 (norm. = 0.203003), norm. avg. (of 14) = 
0.0969025
  fft 5: mflops = 50.4652 (norm. = 0.6358), norm. avg. (of 14) = 0.407456
  fft 6: mflops = 79.3728 (norm. = 1), norm. avg. (of 14) = 0.450179
  fft 7: mflops = 79.3097 (norm. = 0.999205), norm. avg. (of 14) = 
0.505327
  fft 8: mflops = 16.1669 (norm. = 0.203684), norm. avg. (of 13) = 
0.186447
  fft 9: mflops = 14.9955 (norm. = 0.188925), norm. avg. (of 14) = 
0.143285
  fft 10: mflops = 43.3952 (norm. = 0.546727), norm. avg. (of 14) = 
0.731131
  fft 11: mflops = 46.0682 (norm. = 0.580403), norm. avg. (of 14) = 
0.711674
  fft 12: mflops = 27.1727 (norm. = 0.342343), norm. avg. (of 14) = 
0.657849
  fft 13: mflops = 51.7625 (norm. = 0.652145), norm. avg. (of 12) = 
0.735298
  fft 14: mflops = 19.2594 (norm. = 0.242644), norm. avg. (of 14) = 
0.226752
  fft 15: mflops = 22.3291 (norm. = 0.28132), norm. avg. (of 14) = 
0.234922
  fft 16: mflops = 22.5372 (norm. = 0.283941), norm. avg. (of 14) = 
0.248107
  fft 17: mflops = -1 (norm. = -0.0125988), norm. avg. (of 12) = 0.361777
  fft 18: mflops = 24.9005 (norm. = 0.313716), norm. avg. (of 13) = 
0.328341
  fft 19: mflops = 26.0841 (norm. = 0.328628), norm. avg. (of 13) = 
0.404495
  fft 20: mflops = 22.5107 (norm. = 0.283607), norm. avg. (of 13) = 
0.347717
  fft 21: mflops = 5.7141 (norm. = 0.0719907), norm. avg. (of 14) = 
0.0595118
  fft 22: mflops = 17.5177 (norm. = 0.220702), norm. avg. (of 14) = 
0.117557
  fft 23: mflops = 22.5828 (norm. = 0.284515), norm. avg. (of 14) = 
0.254102
  fft 24: mflops = 60.4442 (norm. = 0.761522), norm. avg. (of 14) = 
0.613826
  fft 25: mflops = 17.79 (norm. = 0.224132), norm. avg. (of 11) = 0.222504
  fft 26: mflops = 61.6731 (norm. = 0.777005), norm. avg. (of 13) = 
0.250421
  fft 27: mflops = 44.8147 (norm. = 0.56461), norm. avg. (of 14) = 
0.430033
  fft 28: mflops = 19.1619 (norm. = 0.241417), norm. avg. (of 14) = 
0.107444
  fft 29: mflops = 5.18923 (norm. = 0.065378), norm. avg. (of 14) = 
0.051028

Benchmarking for array size = 32768 (power of 2):
0. Arndt DIF: elapsed time t=1.75045 s, 16 iters, t-(init.)=1.69425 s
    t(norm)=0.215435, mflops=23.2089 (err=5.2e-15)
1. Arndt DIT: elapsed time t=1.84393 s, 16 iters, t-(init.)=1.7875 s
    t(norm)=0.227293, mflops=21.9981 (err=5.2e-15)
2. Arndt Split-Radix: elapsed time t=1.21118 s, 8 iters, 
t-(init.)=1.18296 s
    t(norm)=0.300842, mflops=16.62 (err=5.2e-15)
3. Arndt 4-step: elapsed time t=1.61205 s, 16 iters, t-(init.)=1.5559 s
    t(norm)=0.197843, mflops=25.2725 (err=5.2e-15)
4. Beauregard: elapsed time t=1.26164 s, 8 iters, t-(init.)=1.2333 s
    t(norm)=0.313646, mflops=15.9416 (err=5.2e-15)
5. Bergland: elapsed time t=1.69804 s, 32 iters, t-(init.)=1.58504 s
    t(norm)=0.100774, mflops=49.6159 (err=5.2e-15)
6. CWP (min N) (N=34320): elapsed time t=1.12753 s, 32 iters, 
t-(init.)=1.01003 s
    t(norm)=0.0642158, mflops=77.8625
7. CWP (best N) (N=34320): elapsed time t=1.1264 s, 32 iters, 
t-(init.)=1.00841 s
    t(norm)=0.0641127, mflops=77.9876
8. Edelblute: elapsed time t=1.25185 s, 8 iters, t-(init.)=1.22392 s
    t(norm)=0.31126, mflops=16.0638 (err=5.2e-15)
9. FFTPACK (f2c): elapsed time t=1.29778 s, 8 iters, t-(init.)=1.26493 s
    t(norm)=0.321688, mflops=15.543 (err=5.2e-15)

FFTW_MEASURE plan: (cost = 4.509850e-02)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 16
FFTW_NOTW 64

10. FFTW: elapsed time t=1.81421 s, 32 iters, t-(init.)=1.69277 s
    t(norm)=0.107624, mflops=46.4582 (err=5.2e-15)

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

11. FFTW_ESTIMATE: elapsed time t=1.83979 s, 32 iters, t-(init.)=1.71801 s
    t(norm)=0.109228, mflops=45.7758 (err=5.2e-15)
12. Frigo-old: elapsed time t=1.88815 s, 16 iters, t-(init.)=1.83144 s
    t(norm)=0.23288, mflops=21.4703 (err=5.2e-15)
13. Green: elapsed time t=1.65442 s, 32 iters, t-(init.)=1.54065 s
    t(norm)=0.0979522, mflops=51.0453 (err=5.2e-15)
14. GSL: elapsed time t=1.93952 s, 16 iters, t-(init.)=1.88348 s
    t(norm)=0.239497, mflops=20.8771 (err=5.2e-15)
15. GSL DIT: elapsed time t=1.83081 s, 16 iters, t-(init.)=1.77461 s
    t(norm)=0.225654, mflops=22.1578 (err=5.9e-15)
16. GSL DIF: elapsed time t=1.81426 s, 16 iters, t-(init.)=1.75791 s
    t(norm)=0.22353, mflops=22.3684 (err=6.0e-15)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.64714 s, 16 iters, 
t-(init.)=1.59079 s
    t(norm)=0.20228, mflops=24.7183 (err=5.2e-15)
19. Mayer (simple): elapsed time t=1.58207 s, 16 iters, t-(init.)=1.52555 
s
    t(norm)=0.193983, mflops=25.7754
20. Mayer (lookup): elapsed time t=1.80698 s, 16 iters, t-(init.)=1.75008 
s
    t(norm)=0.222534, mflops=22.4685 (err=5.2e-15)
21. NAPACK (f2c): elapsed time t=1.79736 s, 4 iters, t-(init.)=1.78306 s
    t(norm)=0.90691, mflops=5.51323 (err=5.6e-13)
22. Nielsen: elapsed time t=1.13682 s, 8 iters, t-(init.)=1.10004 s
    t(norm)=0.279756, mflops=17.8727 (err=2.3e-13)
23. NR (C): elapsed time t=1.81812 s, 16 iters, t-(init.)=1.76128 s
    t(norm)=0.223958, mflops=22.3256 (err=5.3e-15)
24. Ooura (C): elapsed time t=1.46234 s, 32 iters, t-(init.)=1.34991 s
    t(norm)=0.0858248, mflops=58.2582 (err=5.2e-15)
25. QFT: elapsed time t=1.28349 s, 8 iters, t-(init.)=1.24624 s
    t(norm)=0.316934, mflops=15.7761 (err=7.5e-15)
26. Ransom: elapsed time t=1.69697 s, 32 iters, t-(init.)=1.58478 s
    t(norm)=0.100757, mflops=49.6241 (err=6.4e-15)
27. Singleton (f2c): elapsed time t=1.11715 s, 16 iters, 
t-(init.)=1.06076 s
    t(norm)=0.134883, mflops=37.0693 (err=7.2e-15)
28. Temperton (f2c): elapsed time t=1.11491 s, 8 iters, t-(init.)=1.08654 
s
    t(norm)=0.276321, mflops=18.0949 (err=5.2e-15)
29. Valkenburg: elapsed time t=1.01509 s, 2 iters, t-(init.)=1.00778 s
    t(norm)=1.02517, mflops=4.87724 (err=5.2e-15)

Top mflops for N=32768 = 77.9876
Normalized results and averages for N=32768:
  fft 0: mflops = 23.2089 (norm. = 0.297597), norm. avg. (of 15) = 
0.371507
  fft 1: mflops = 21.9981 (norm. = 0.282071), norm. avg. (of 15) = 
0.364877
  fft 2: mflops = 16.62 (norm. = 0.213111), norm. avg. (of 15) = 0.241406
  fft 3: mflops = 25.2725 (norm. = 0.324058), norm. avg. (of 15) = 
0.155227
  fft 4: mflops = 15.9416 (norm. = 0.204411), norm. avg. (of 15) = 0.10407
  fft 5: mflops = 49.6159 (norm. = 0.636202), norm. avg. (of 15) = 
0.422706
  fft 6: mflops = 77.8625 (norm. = 0.998395), norm. avg. (of 15) = 
0.486727
  fft 7: mflops = 77.9876 (norm. = 1), norm. avg. (of 15) = 0.538305
  fft 8: mflops = 16.0638 (norm. = 0.205978), norm. avg. (of 14) = 
0.187842
  fft 9: mflops = 15.543 (norm. = 0.199301), norm. avg. (of 15) = 0.147019
  fft 10: mflops = 46.4582 (norm. = 0.595712), norm. avg. (of 15) = 
0.722103
  fft 11: mflops = 45.7758 (norm. = 0.586962), norm. avg. (of 15) = 
0.703359
  fft 12: mflops = 21.4703 (norm. = 0.275304), norm. avg. (of 15) = 
0.632346
  fft 13: mflops = 51.0453 (norm. = 0.654531), norm. avg. (of 13) = 
0.729085
  fft 14: mflops = 20.8771 (norm. = 0.267697), norm. avg. (of 15) = 
0.229482
  fft 15: mflops = 22.1578 (norm. = 0.28412), norm. avg. (of 15) = 
0.238201
  fft 16: mflops = 22.3684 (norm. = 0.28682), norm. avg. (of 15) = 
0.250688
  fft 17: mflops = -1 (norm. = -0.0128225), norm. avg. (of 12) = 0.361777
  fft 18: mflops = 24.7183 (norm. = 0.316951), norm. avg. (of 14) = 
0.327527
  fft 19: mflops = 25.7754 (norm. = 0.330507), norm. avg. (of 14) = 
0.39921
  fft 20: mflops = 22.4685 (norm. = 0.288103), norm. avg. (of 14) = 
0.343459
  fft 21: mflops = 5.51323 (norm. = 0.0706936), norm. avg. (of 15) = 
0.0602572
  fft 22: mflops = 17.8727 (norm. = 0.229174), norm. avg. (of 15) = 
0.124998
  fft 23: mflops = 22.3256 (norm. = 0.286271), norm. avg. (of 15) = 
0.256247
  fft 24: mflops = 58.2582 (norm. = 0.747018), norm. avg. (of 15) = 
0.622705
  fft 25: mflops = 15.7761 (norm. = 0.20229), norm. avg. (of 12) = 0.22082
  fft 26: mflops = 49.6241 (norm. = 0.636308), norm. avg. (of 14) = 
0.277984
  fft 27: mflops = 37.0693 (norm. = 0.475322), norm. avg. (of 15) = 
0.433052
  fft 28: mflops = 18.0949 (norm. = 0.232023), norm. avg. (of 15) = 
0.115749
  fft 29: mflops = 4.87724 (norm. = 0.0625386), norm. avg. (of 15) = 
0.0517954

Benchmarking for array size = 65536 (power of 2):
0. Arndt DIF: elapsed time t=1.06979 s, 4 iters, t-(init.)=1.03876 s
    t(norm)=0.24766, mflops=20.189 (err=1.6e-14)
1. Arndt DIT: elapsed time t=1.12443 s, 4 iters, t-(init.)=1.09386 s
    t(norm)=0.260798, mflops=19.1719 (err=1.6e-14)
2. Arndt Split-Radix: elapsed time t=1.34987 s, 4 iters, 
t-(init.)=1.31934 s
    t(norm)=0.314554, mflops=15.8955 (err=1.6e-14)
3. Arndt 4-step: elapsed time t=1.33886 s, 8 iters, t-(init.)=1.2781 s
    t(norm)=0.152361, mflops=32.8168 (err=1.6e-14)
4. Beauregard: elapsed time t=1.38481 s, 4 iters, t-(init.)=1.354 s
    t(norm)=0.322819, mflops=15.4886 (err=1.6e-14)
5. Bergland: elapsed time t=1.00975 s, 8 iters, t-(init.)=0.949157 s
    t(norm)=0.113148, mflops=44.1898 (err=1.6e-14)
6. CWP (min N) (N=72072): elapsed time t=1.54526 s, 16 iters, 
t-(init.)=1.354 s
    t(norm)=0.080705, mflops=61.954
7. CWP (best N) (N=72072): elapsed time t=1.54532 s, 16 iters, 
t-(init.)=1.35345 s
    t(norm)=0.080672, mflops=61.9794
8. Edelblute: elapsed time t=1.39512 s, 4 iters, t-(init.)=1.3643 s
    t(norm)=0.325274, mflops=15.3716 (err=1.6e-14)
9. FFTPACK (f2c): elapsed time t=1.64961 s, 4 iters, t-(init.)=1.61009 s
    t(norm)=0.383876, mflops=13.025 (err=1.6e-14)

FFTW_MEASURE plan: (cost = 1.297020e-01)
FFTW_TWIDDLE 64
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 32

10. FFTW: elapsed time t=1.02014 s, 8 iters, t-(init.)=0.941946 s
    t(norm)=0.112289, mflops=44.5281 (err=1.6e-14)

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

11. FFTW_ESTIMATE: elapsed time t=1.21929 s, 8 iters, t-(init.)=1.14154 s
    t(norm)=0.136082, mflops=36.7426 (err=1.6e-14)
12. Frigo-old: elapsed time t=1.14763 s, 4 iters, t-(init.)=1.10781 s
    t(norm)=0.264122, mflops=18.9307 (err=1.6e-14)
13. Green: elapsed time t=1.85762 s, 16 iters, t-(init.)=1.73469 s
    t(norm)=0.103395, mflops=48.3581 (err=1.6e-14)
14. GSL: elapsed time t=1.06968 s, 4 iters, t-(init.)=1.0389 s
    t(norm)=0.247692, mflops=20.1864 (err=1.6e-14)
15. GSL DIT: elapsed time t=1.04087 s, 4 iters, t-(init.)=1.01004 s
    t(norm)=0.240813, mflops=20.763 (err=1.7e-14)
16. GSL DIF: elapsed time t=1.02678 s, 4 iters, t-(init.)=0.996133 s
    t(norm)=0.237497, mflops=21.0529 (err=1.8e-14)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.8037 s, 8 iters, t-(init.)=1.74269 s
    t(norm)=0.207744, mflops=24.068 (err=1.6e-14)
19. Mayer (simple): elapsed time t=1.73365 s, 8 iters, t-(init.)=1.67228 s
    t(norm)=0.199351, mflops=25.0813
20. Mayer (lookup): elapsed time t=1.98988 s, 8 iters, t-(init.)=1.92943 s
    t(norm)=0.230007, mflops=21.7385 (err=1.6e-14)
21. NAPACK (f2c): elapsed time t=1.87975 s, 2 iters, t-(init.)=1.84704 s
    t(norm)=0.880739, mflops=5.67705 (err=8.7e-13)
22. Nielsen: elapsed time t=1.36116 s, 4 iters, t-(init.)=1.31345 s
    t(norm)=0.313151, mflops=15.9667 (err=2.6e-13)
23. NR (C): elapsed time t=1.01287 s, 4 iters, t-(init.)=0.982357 s
    t(norm)=0.234212, mflops=21.3482 (err=1.6e-14)
24. Ooura (C): elapsed time t=1.6578 s, 16 iters, t-(init.)=1.53627 s
    t(norm)=0.0915688, mflops=54.6037 (err=1.6e-14)
25. QFT: elapsed time t=1.91377 s, 4 iters, t-(init.)=1.86521 s
    t(norm)=0.4447, mflops=11.2435 (err=1.9e-14)
26. Ransom: elapsed time t=1.09427 s, 8 iters, t-(init.)=1.03216 s
    t(norm)=0.123043, mflops=40.6363 (err=1.7e-14)
27. Singleton (f2c): elapsed time t=1.10584 s, 8 iters, t-(init.)=1.04449 
s
    t(norm)=0.124513, mflops=40.1563 (err=2.4e-14)
28. Temperton (f2c): elapsed time t=1.19156 s, 4 iters, t-(init.)=1.1607 s
    t(norm)=0.276733, mflops=18.068 (err=1.6e-14)
29. Valkenburg: elapsed time t=1.1687 s, 1 iters, t-(init.)=1.1607 s
    t(norm)=1.10693, mflops=4.51699 (err=1.6e-14)

Top mflops for N=65536 = 61.9794
Normalized results and averages for N=65536:
  fft 0: mflops = 20.189 (norm. = 0.325737), norm. avg. (of 16) = 0.368646
  fft 1: mflops = 19.1719 (norm. = 0.309328), norm. avg. (of 16) = 
0.361406
  fft 2: mflops = 15.8955 (norm. = 0.256465), norm. avg. (of 16) = 
0.242347
  fft 3: mflops = 32.8168 (norm. = 0.52948), norm. avg. (of 16) = 0.178618
  fft 4: mflops = 15.4886 (norm. = 0.249899), norm. avg. (of 16) = 
0.113184
  fft 5: mflops = 44.1898 (norm. = 0.712976), norm. avg. (of 16) = 
0.440848
  fft 6: mflops = 61.954 (norm. = 0.999592), norm. avg. (of 16) = 0.518781
  fft 7: mflops = 61.9794 (norm. = 1), norm. avg. (of 16) = 0.567161
  fft 8: mflops = 15.3716 (norm. = 0.248012), norm. avg. (of 15) = 
0.191853
  fft 9: mflops = 13.025 (norm. = 0.210151), norm. avg. (of 16) = 0.150965
  fft 10: mflops = 44.5281 (norm. = 0.718434), norm. avg. (of 16) = 
0.721874
  fft 11: mflops = 36.7426 (norm. = 0.59282), norm. avg. (of 16) = 
0.696451
  fft 12: mflops = 18.9307 (norm. = 0.305435), norm. avg. (of 16) = 
0.611914
  fft 13: mflops = 48.3581 (norm. = 0.780229), norm. avg. (of 14) = 
0.732738
  fft 14: mflops = 20.1864 (norm. = 0.325695), norm. avg. (of 16) = 
0.235495
  fft 15: mflops = 20.763 (norm. = 0.334999), norm. avg. (of 16) = 
0.244251
  fft 16: mflops = 21.0529 (norm. = 0.339677), norm. avg. (of 16) = 
0.25625
  fft 17: mflops = -1 (norm. = -0.0161344), norm. avg. (of 12) = 0.361777
  fft 18: mflops = 24.068 (norm. = 0.388324), norm. avg. (of 15) = 0.33158
  fft 19: mflops = 25.0813 (norm. = 0.404672), norm. avg. (of 15) = 
0.399574
  fft 20: mflops = 21.7385 (norm. = 0.350738), norm. avg. (of 15) = 
0.343944
  fft 21: mflops = 5.67705 (norm. = 0.0915958), norm. avg. (of 16) = 
0.0622159
  fft 22: mflops = 15.9667 (norm. = 0.257614), norm. avg. (of 16) = 
0.133286
  fft 23: mflops = 21.3482 (norm. = 0.34444), norm. avg. (of 16) = 
0.261759
  fft 24: mflops = 54.6037 (norm. = 0.880999), norm. avg. (of 16) = 
0.638849
  fft 25: mflops = 11.2435 (norm. = 0.181408), norm. avg. (of 13) = 
0.217788
  fft 26: mflops = 40.6363 (norm. = 0.655643), norm. avg. (of 15) = 
0.303161
  fft 27: mflops = 40.1563 (norm. = 0.647898), norm. avg. (of 16) = 
0.44648
  fft 28: mflops = 18.068 (norm. = 0.291516), norm. avg. (of 16) = 
0.126735
  fft 29: mflops = 4.51699 (norm. = 0.072879), norm. avg. (of 16) = 
0.0531131

Benchmarking for array size = 131072 (power of 2):
0. Arndt DIF: elapsed time t=1.74871 s, 1 iters, t-(init.)=1.69836 s
    t(norm)=0.762203, mflops=6.55994 (err=3.9e-14)
1. Arndt DIT: elapsed time t=1.85416 s, 1 iters, t-(init.)=1.80399 s
    t(norm)=0.809611, mflops=6.1758 (err=3.9e-14)
2. Arndt Split-Radix: elapsed time t=2.48572 s, 1 iters, 
t-(init.)=2.43518 s
    t(norm)=1.09288, mflops=4.57506 (err=3.9e-14)
3. Arndt 4-step: elapsed time t=1.61913 s, 2 iters, t-(init.)=1.51878 s
    t(norm)=0.340804, mflops=14.6712 (err=3.9e-14)
4. Beauregard: elapsed time t=1.13442 s, 1 iters, t-(init.)=1.08395 s
    t(norm)=0.486465, mflops=10.2782 (err=3.8e-14)
5. Bergland: elapsed time t=1.41377 s, 2 iters, t-(init.)=1.31331 s
    t(norm)=0.294699, mflops=16.9665 (err=3.9e-14)
6. CWP (min N) (N=144144): elapsed time t=1.35361 s, 4 iters, 
t-(init.)=1.13519 s
    t(norm)=0.127364, mflops=39.2574
7. CWP (best N) (N=144144): elapsed time t=1.35398 s, 4 iters, 
t-(init.)=1.13539 s
    t(norm)=0.127387, mflops=39.2504
8. Edelblute: elapsed time t=2.48599 s, 1 iters, t-(init.)=2.43567 s
    t(norm)=1.0931, mflops=4.57416 (err=3.9e-14)
9. FFTPACK (f2c): elapsed time t=1.26739 s, 1 iters, t-(init.)=1.21714 s
    t(norm)=0.546237, mflops=9.15353 (err=3.8e-14)

FFTW_MEASURE plan: (cost = 3.643840e-01)
FFTW_TWIDDLE 2
FFTW_TWIDDLE 64
FFTW_TWIDDLE 16
FFTW_NOTW 64

10. FFTW: elapsed time t=1.48244 s, 4 iters, t-(init.)=1.28127 s
    t(norm)=0.143754, mflops=34.7816 (err=3.8e-14)

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

11. FFTW_ESTIMATE: elapsed time t=1.81078 s, 4 iters, t-(init.)=1.60971 s
    t(norm)=0.180605, mflops=27.6848 (err=3.8e-14)
12. Frigo-old: elapsed time t=1.52271 s, 2 iters, t-(init.)=1.42319 s
    t(norm)=0.319355, mflops=15.6566 (err=3.8e-14)
13. Green: elapsed time t=1.35287 s, 2 iters, t-(init.)=1.2609 s
    t(norm)=0.282939, mflops=17.6717 (err=3.8e-14)
14. GSL: elapsed time t=1.85324 s, 2 iters, t-(init.)=1.75277 s
    t(norm)=0.393311, mflops=12.7126 (err=3.8e-14)
15. GSL DIT: elapsed time t=1.68185 s, 1 iters, t-(init.)=1.63154 s
    t(norm)=0.732215, mflops=6.8286 (err=4.0e-14)
16. GSL DIF: elapsed time t=1.62967 s, 1 iters, t-(init.)=1.57909 s
    t(norm)=0.708679, mflops=7.05538 (err=4.2e-14)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=1.22129 s, 2 iters, t-(init.)=1.12078 
s
    t(norm)=0.251496, mflops=19.881 (err=3.9e-14)
19. Mayer (simple): elapsed time t=1.1836 s, 2 iters, t-(init.)=1.08296 s
    t(norm)=0.243011, mflops=20.5752
20. Mayer (lookup): elapsed time t=1.33137 s, 2 iters, t-(init.)=1.23085 s
    t(norm)=0.276196, mflops=18.1031 (err=3.9e-14)
21. NAPACK (f2c): elapsed time t=2.1083 s, 1 iters, t-(init.)=2.05808 s
    t(norm)=0.923639, mflops=5.41337 (err=2.0e-12)
22. Nielsen: elapsed time t=1.3963 s, 1 iters, t-(init.)=1.346 s
    t(norm)=0.60407, mflops=8.27718 (err=9.2e-13)
23. NR (C): elapsed time t=1.67906 s, 1 iters, t-(init.)=1.62892 s
    t(norm)=0.731038, mflops=6.83959 (err=3.9e-14)
24. Ooura (C): elapsed time t=1.14508 s, 2 iters, t-(init.)=1.04451 s
    t(norm)=0.234382, mflops=21.3327 (err=3.9e-14)
25. QFT: elapsed time t=1.1364 s, 1 iters, t-(init.)=1.08585 s
    t(norm)=0.487317, mflops=10.2603 (err=4.1e-14)
26. Ransom: elapsed time t=1.2009 s, 2 iters, t-(init.)=1.10011 s
    t(norm)=0.246858, mflops=20.2546 (err=3.9e-14)
27. Singleton (f2c): elapsed time t=1.77931 s, 2 iters, t-(init.)=1.67856 
s
    t(norm)=0.376658, mflops=13.2746 (err=5.7e-14)
28. Temperton (f2c): elapsed time t=1.07842 s, 1 iters, t-(init.)=1.02856 
s
    t(norm)=0.461608, mflops=10.8317 (err=3.8e-14)
29. Valkenburg: elapsed time t=3.29816 s, 1 iters, t-(init.)=3.24806 s
    t(norm)=1.45769, mflops=3.43008 (err=3.9e-14)

Top mflops for N=131072 = 39.2574
Normalized results and averages for N=131072:
  fft 0: mflops = 6.55994 (norm. = 0.167101), norm. avg. (of 17) = 
0.356791
  fft 1: mflops = 6.1758 (norm. = 0.157316), norm. avg. (of 17) = 0.3494
  fft 2: mflops = 4.57506 (norm. = 0.11654), norm. avg. (of 17) = 0.234946
  fft 3: mflops = 14.6712 (norm. = 0.373717), norm. avg. (of 17) = 
0.190095
  fft 4: mflops = 10.2782 (norm. = 0.261816), norm. avg. (of 17) = 
0.121927
  fft 5: mflops = 16.9665 (norm. = 0.432185), norm. avg. (of 17) = 
0.440338
  fft 6: mflops = 39.2574 (norm. = 1), norm. avg. (of 17) = 0.547088
  fft 7: mflops = 39.2504 (norm. = 0.999822), norm. avg. (of 17) = 
0.592612
  fft 8: mflops = 4.57416 (norm. = 0.116517), norm. avg. (of 16) = 
0.187145
  fft 9: mflops = 9.15353 (norm. = 0.233167), norm. avg. (of 17) = 0.1558
  fft 10: mflops = 34.7816 (norm. = 0.885987), norm. avg. (of 17) = 
0.731528
  fft 11: mflops = 27.6848 (norm. = 0.705211), norm. avg. (of 17) = 
0.696966
  fft 12: mflops = 15.6566 (norm. = 0.398818), norm. avg. (of 17) = 
0.599379
  fft 13: mflops = 17.6717 (norm. = 0.450148), norm. avg. (of 15) = 
0.713899
  fft 14: mflops = 12.7126 (norm. = 0.323826), norm. avg. (of 17) = 
0.240691
  fft 15: mflops = 6.8286 (norm. = 0.173944), norm. avg. (of 17) = 
0.240116
  fft 16: mflops = 7.05538 (norm. = 0.179721), norm. avg. (of 17) = 
0.251748
  fft 17: mflops = -1 (norm. = -0.0254729), norm. avg. (of 12) = 0.361777
  fft 18: mflops = 19.881 (norm. = 0.506426), norm. avg. (of 16) = 
0.342508
  fft 19: mflops = 20.5752 (norm. = 0.52411), norm. avg. (of 16) = 
0.407357
  fft 20: mflops = 18.1031 (norm. = 0.461138), norm. avg. (of 16) = 
0.351269
  fft 21: mflops = 5.41337 (norm. = 0.137894), norm. avg. (of 17) = 
0.0666675
  fft 22: mflops = 8.27718 (norm. = 0.210844), norm. avg. (of 17) = 
0.137848
  fft 23: mflops = 6.83959 (norm. = 0.174224), norm. avg. (of 17) = 
0.25661
  fft 24: mflops = 21.3327 (norm. = 0.543405), norm. avg. (of 17) = 
0.633234
  fft 25: mflops = 10.2603 (norm. = 0.261359), norm. avg. (of 14) = 0.2209
  fft 26: mflops = 20.2546 (norm. = 0.515943), norm. avg. (of 16) = 
0.31646
  fft 27: mflops = 13.2746 (norm. = 0.338144), norm. avg. (of 17) = 
0.440107
  fft 28: mflops = 10.8317 (norm. = 0.275915), norm. avg. (of 17) = 
0.13551
  fft 29: mflops = 3.43008 (norm. = 0.087374), norm. avg. (of 17) = 
0.0551285

Benchmarking for array size = 262144 (power of 2):
0. Arndt DIF: elapsed time t=4.64717 s, 1 iters, t-(init.)=4.54664 s
    t(norm)=0.963559, mflops=5.18909 (err=4.3e-14)
1. Arndt DIT: elapsed time t=4.67082 s, 1 iters, t-(init.)=4.57034 s
    t(norm)=0.968582, mflops=5.16219 (err=4.3e-14)
2. Arndt Split-Radix: elapsed time t=5.64649 s, 1 iters, 
t-(init.)=5.54592 s
    t(norm)=1.17533, mflops=4.25411 (err=4.3e-14)
3. Arndt 4-step: elapsed time t=1.54051 s, 1 iters, t-(init.)=1.43989 s
    t(norm)=0.305153, mflops=16.3852 (err=4.3e-14)
4. Beauregard: elapsed time t=2.40468 s, 1 iters, t-(init.)=2.30396 s
    t(norm)=0.488274, mflops=10.2402 (err=4.3e-14)
5. Bergland: elapsed time t=1.55686 s, 1 iters, t-(init.)=1.45646 s
    t(norm)=0.308664, mflops=16.1989 (err=4.3e-14)
6. CWP (min N) (N=360360): elapsed time t=1.08737 s, 1 iters, 
t-(init.)=0.957292 s
    t(norm)=0.202877, mflops=24.6455
7. CWP (best N) (N=360360): elapsed time t=1.08803 s, 1 iters, 
t-(init.)=0.957704 s
    t(norm)=0.202964, mflops=24.6349
8. Edelblute: elapsed time t=5.6679 s, 1 iters, t-(init.)=5.56732 s
    t(norm)=1.17987, mflops=4.23776 (err=4.3e-14)
9. FFTPACK (f2c): elapsed time t=2.70648 s, 1 iters, t-(init.)=2.60575 s
    t(norm)=0.55223, mflops=9.0542 (err=4.3e-14)

FFTW_MEASURE plan: (cost = 7.722530e-01)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 64
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 32

10. FFTW: elapsed time t=1.52733 s, 2 iters, t-(init.)=1.32637 s
    t(norm)=0.140547, mflops=35.5753 (err=4.3e-14)

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

11. FFTW_ESTIMATE: elapsed time t=1.98232 s, 2 iters, t-(init.)=1.78151 s
    t(norm)=0.188775, mflops=26.4865 (err=4.3e-14)
12. Frigo-old: elapsed time t=1.78503 s, 1 iters, t-(init.)=1.68492 s
    t(norm)=0.357082, mflops=14.0024 (err=4.3e-14)
13. Green: elapsed time t=1.51774 s, 1 iters, t-(init.)=1.41732 s
    t(norm)=0.300369, mflops=16.6462 (err=4.3e-14)
14. GSL: elapsed time t=1.92236 s, 1 iters, t-(init.)=1.82191 s
    t(norm)=0.386112, mflops=12.9496 (err=4.3e-14)
15. GSL DIT: elapsed time t=3.67167 s, 1 iters, t-(init.)=3.5709 s
    t(norm)=0.756772, mflops=6.60701 (err=4.5e-14)
16. GSL DIF: elapsed time t=3.74183 s, 1 iters, t-(init.)=3.6415 s
    t(norm)=0.771734, mflops=6.47892 (err=4.7e-14)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=3.28065 s, 1 iters, t-(init.)=3.18012 
s
    t(norm)=0.673956, mflops=7.41888 (err=4.3e-14)
19. Mayer (simple): elapsed time t=3.25106 s, 1 iters, t-(init.)=3.15058 s
    t(norm)=0.667694, mflops=7.48846
20. Mayer (lookup): elapsed time t=3.39122 s, 1 iters, t-(init.)=3.29066 s
    t(norm)=0.697383, mflops=7.16967 (err=4.3e-14)
21. NAPACK (f2c): elapsed time t=4.28708 s, 1 iters, t-(init.)=4.18675 s
    t(norm)=0.887288, mflops=5.63515 (err=3.7e-12)
22. Nielsen: elapsed time t=3.52158 s, 1 iters, t-(init.)=3.42107 s
    t(norm)=0.72502, mflops=6.89636 (err=2.1e-12)
23. NR (C): elapsed time t=3.76475 s, 1 iters, t-(init.)=3.66423 s
    t(norm)=0.776551, mflops=6.43873 (err=4.3e-14)
24. Ooura (C): elapsed time t=1.15703 s, 1 iters, t-(init.)=1.05647 s
    t(norm)=0.223896, mflops=22.3318 (err=4.3e-14)
25. QFT: elapsed time t=2.9645 s, 1 iters, t-(init.)=2.86349 s
    t(norm)=0.606852, mflops=8.23924 (err=4.7e-14)
26. Ransom: elapsed time t=1.83193 s, 2 iters, t-(init.)=1.6307 s
    t(norm)=0.172796, mflops=28.9359 (err=4.3e-14)
27. Singleton (f2c): elapsed time t=1.91447 s, 1 iters, t-(init.)=1.81394 
s
    t(norm)=0.384425, mflops=13.0064 (err=5.9e-14)
28. Temperton (f2c): elapsed time t=2.38743 s, 1 iters, t-(init.)=2.2867 s
    t(norm)=0.484616, mflops=10.3175 (err=4.3e-14)
29. Valkenburg: elapsed time t=7.24801 s, 1 iters, t-(init.)=7.14738 s
    t(norm)=1.51473, mflops=3.30092 (err=4.3e-14)

Top mflops for N=262144 = 35.5753
Normalized results and averages for N=262144:
  fft 0: mflops = 5.18909 (norm. = 0.145862), norm. avg. (of 18) = 
0.345072
  fft 1: mflops = 5.16219 (norm. = 0.145106), norm. avg. (of 18) = 
0.338051
  fft 2: mflops = 4.25411 (norm. = 0.11958), norm. avg. (of 18) = 0.228537
  fft 3: mflops = 16.3852 (norm. = 0.460579), norm. avg. (of 18) = 
0.205121
  fft 4: mflops = 10.2402 (norm. = 0.287845), norm. avg. (of 18) = 
0.131145
  fft 5: mflops = 16.1989 (norm. = 0.45534), norm. avg. (of 18) = 0.441172
  fft 6: mflops = 24.6455 (norm. = 0.692771), norm. avg. (of 18) = 
0.555182
  fft 7: mflops = 24.6349 (norm. = 0.692473), norm. avg. (of 18) = 0.59816
  fft 8: mflops = 4.23776 (norm. = 0.119121), norm. avg. (of 17) = 
0.183144
  fft 9: mflops = 9.0542 (norm. = 0.254508), norm. avg. (of 18) = 0.161284
  fft 10: mflops = 35.5753 (norm. = 1), norm. avg. (of 18) = 0.746443
  fft 11: mflops = 26.4865 (norm. = 0.744521), norm. avg. (of 18) = 
0.699608
  fft 12: mflops = 14.0024 (norm. = 0.393599), norm. avg. (of 18) = 
0.587947
  fft 13: mflops = 16.6462 (norm. = 0.467915), norm. avg. (of 16) = 
0.698525
  fft 14: mflops = 12.9496 (norm. = 0.364006), norm. avg. (of 18) = 
0.247542
  fft 15: mflops = 6.60701 (norm. = 0.185719), norm. avg. (of 18) = 
0.237094
  fft 16: mflops = 6.47892 (norm. = 0.182119), norm. avg. (of 18) = 
0.24788
  fft 17: mflops = -1 (norm. = -0.0281094), norm. avg. (of 12) = 0.361777
  fft 18: mflops = 7.41888 (norm. = 0.20854), norm. avg. (of 17) = 
0.334628
  fft 19: mflops = 7.48846 (norm. = 0.210496), norm. avg. (of 17) = 
0.395777
  fft 20: mflops = 7.16967 (norm. = 0.201535), norm. avg. (of 17) = 
0.342461
  fft 21: mflops = 5.63515 (norm. = 0.158401), norm. avg. (of 18) = 
0.0717638
  fft 22: mflops = 6.89636 (norm. = 0.193853), norm. avg. (of 18) = 
0.14096
  fft 23: mflops = 6.43873 (norm. = 0.180989), norm. avg. (of 18) = 
0.252408
  fft 24: mflops = 22.3318 (norm. = 0.627735), norm. avg. (of 18) = 
0.632929
  fft 25: mflops = 8.23924 (norm. = 0.2316), norm. avg. (of 15) = 0.221614
  fft 26: mflops = 28.9359 (norm. = 0.813372), norm. avg. (of 17) = 
0.34569
  fft 27: mflops = 13.0064 (norm. = 0.365603), norm. avg. (of 18) = 
0.435968
  fft 28: mflops = 10.3175 (norm. = 0.290017), norm. avg. (of 18) = 
0.144094
  fft 29: mflops = 3.30092 (norm. = 0.092787), norm. avg. (of 18) = 
0.0572206

Benchmarking for array size = 524288 (power of 2):
0. Arndt DIF: elapsed time t=9.37552 s, 1 iters, t-(init.)=9.17476 s
    t(norm)=0.921024, mflops=5.42874 (err=1.1e-13)
1. Arndt DIT: elapsed time t=9.45206 s, 1 iters, t-(init.)=9.25097 s
    t(norm)=0.928676, mflops=5.38401 (err=1.1e-13)
2. Arndt Split-Radix: elapsed time t=12.1472 s, 1 iters, 
t-(init.)=11.9463 s
    t(norm)=1.19925, mflops=4.16927 (err=1.1e-13)
3. Arndt 4-step: elapsed time t=5.03809 s, 1 iters, t-(init.)=4.83705 s
    t(norm)=0.485576, mflops=10.2971 (err=1.1e-13)
4. Beauregard: elapsed time t=5.05532 s, 1 iters, t-(init.)=4.85395 s
    t(norm)=0.487272, mflops=10.2612 (err=1.1e-13)
5. Bergland: elapsed time t=3.6044 s, 1 iters, t-(init.)=3.40332 s
    t(norm)=0.341648, mflops=14.6349 (err=1.1e-13)
6. CWP (min N) (N=720720): elapsed time t=2.27585 s, 1 iters, 
t-(init.)=1.99924 s
    t(norm)=0.200697, mflops=24.9132
7. CWP (best N) (N=720720): elapsed time t=2.27592 s, 1 iters, 
t-(init.)=1.99916 s
    t(norm)=0.200689, mflops=24.9142
8. Edelblute: elapsed time t=12.2114 s, 1 iters, t-(init.)=12.01 s
    t(norm)=1.20565, mflops=4.14715 (err=1.1e-13)
9. FFTPACK (f2c): elapsed time t=5.51826 s, 1 iters, t-(init.)=5.31713 s
    t(norm)=0.533769, mflops=9.36735 (err=1.1e-13)

FFTW_MEASURE plan: (cost = 1.772352e+00)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 2
FFTW_TWIDDLE 64
FFTW_TWIDDLE 8
FFTW_TWIDDLE 4
FFTW_NOTW 32

10. FFTW: elapsed time t=1.79787 s, 1 iters, t-(init.)=1.59676 s
    t(norm)=0.160294, mflops=31.1927 (err=1.1e-13)

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

11. FFTW_ESTIMATE: elapsed time t=2.08039 s, 1 iters, t-(init.)=1.87932 s
    t(norm)=0.188658, mflops=26.5029 (err=1.1e-13)
12. Frigo-old: elapsed time t=4.19225 s, 1 iters, t-(init.)=3.99123 s
    t(norm)=0.400667, mflops=12.4792 (err=1.1e-13)
13. Green: elapsed time t=3.24214 s, 1 iters, t-(init.)=3.04131 s
    t(norm)=0.305308, mflops=16.3769 (err=1.1e-13)
14. GSL: elapsed time t=3.84737 s, 1 iters, t-(init.)=3.64586 s
    t(norm)=0.365996, mflops=13.6613 (err=1.1e-13)
15. GSL DIT: elapsed time t=7.77342 s, 1 iters, t-(init.)=7.57226 s
    t(norm)=0.760155, mflops=6.5776 (err=1.1e-13)
16. GSL DIF: elapsed time t=7.93432 s, 1 iters, t-(init.)=7.73321 s
    t(norm)=0.776312, mflops=6.44071 (err=1.1e-13)
17. Skipping fft (Krukar can't handle N > 4096).
18. Mayer (Buneman): elapsed time t=7.46092 s, 1 iters, t-(init.)=7.25965 
s
    t(norm)=0.728773, mflops=6.86085 (err=1.1e-13)
19. Mayer (simple): elapsed time t=7.38116 s, 1 iters, t-(init.)=7.18002 s
    t(norm)=0.720779, mflops=6.93694
20. Mayer (lookup): elapsed time t=7.76125 s, 1 iters, t-(init.)=7.5601 s
    t(norm)=0.758934, mflops=6.58819 (err=1.1e-13)
21. NAPACK (f2c): elapsed time t=9.47708 s, 1 iters, t-(init.)=9.27603 s
    t(norm)=0.931191, mflops=5.36947 (err=7.9e-12)
22. Nielsen: elapsed time t=7.82734 s, 1 iters, t-(init.)=7.6263 s
    t(norm)=0.76558, mflops=6.531 (err=4.4e-12)
23. NR (C): elapsed time t=7.97833 s, 1 iters, t-(init.)=7.7771 s
    t(norm)=0.780718, mflops=6.40436 (err=1.1e-13)
24. Ooura (C): elapsed time t=2.51167 s, 1 iters, t-(init.)=2.31042 s
    t(norm)=0.231936, mflops=21.5577 (err=1.1e-13)
25. QFT: elapsed time t=8.90384 s, 1 iters, t-(init.)=8.7027 s
    t(norm)=0.873636, mflops=5.7232 (err=1.2e-13)
26. Ransom: elapsed time t=2.43938 s, 1 iters, t-(init.)=2.23843 s
    t(norm)=0.224709, mflops=22.251 (err=1.1e-13)
27. Singleton (f2c): elapsed time t=4.74204 s, 1 iters, t-(init.)=4.54103 
s
    t(norm)=0.45586, mflops=10.9683 (err=1.6e-13)
28. Temperton (f2c): elapsed time t=5.36436 s, 1 iters, t-(init.)=5.1631 s
    t(norm)=0.518307, mflops=9.64679 (err=1.1e-13)
29. Valkenburg: elapsed time t=15.7341 s, 1 iters, t-(init.)=15.5331 s
    t(norm)=1.55931, mflops=3.20654 (err=1.1e-13)

Top mflops for N=524288 = 31.1927
Normalized results and averages for N=524288:
  fft 0: mflops = 5.42874 (norm. = 0.174039), norm. avg. (of 19) = 
0.336071
  fft 1: mflops = 5.38401 (norm. = 0.172605), norm. avg. (of 19) = 
0.329343
  fft 2: mflops = 4.16927 (norm. = 0.133662), norm. avg. (of 19) = 
0.223544
  fft 3: mflops = 10.2971 (norm. = 0.330111), norm. avg. (of 19) = 0.2117
  fft 4: mflops = 10.2612 (norm. = 0.328962), norm. avg. (of 19) = 
0.141556
  fft 5: mflops = 14.6349 (norm. = 0.469179), norm. avg. (of 19) = 
0.442646
  fft 6: mflops = 24.9132 (norm. = 0.798687), norm. avg. (of 19) = 
0.567998
  fft 7: mflops = 24.9142 (norm. = 0.798719), norm. avg. (of 19) = 
0.608716
  fft 8: mflops = 4.14715 (norm. = 0.132953), norm. avg. (of 18) = 
0.180355
  fft 9: mflops = 9.36735 (norm. = 0.300306), norm. avg. (of 19) = 
0.168601
  fft 10: mflops = 31.1927 (norm. = 1), norm. avg. (of 19) = 0.759788
  fft 11: mflops = 26.5029 (norm. = 0.849652), norm. avg. (of 19) = 
0.707505
  fft 12: mflops = 12.4792 (norm. = 0.400068), norm. avg. (of 19) = 
0.578058
  fft 13: mflops = 16.3769 (norm. = 0.525024), norm. avg. (of 17) = 
0.688319
  fft 14: mflops = 13.6613 (norm. = 0.437966), norm. avg. (of 19) = 
0.257564
  fft 15: mflops = 6.5776 (norm. = 0.21087), norm. avg. (of 19) = 0.235713
  fft 16: mflops = 6.44071 (norm. = 0.206481), norm. avg. (of 19) = 
0.245701
  fft 17: mflops = -1 (norm. = -0.0320588), norm. avg. (of 12) = 0.361777
  fft 18: mflops = 6.86085 (norm. = 0.219951), norm. avg. (of 18) = 
0.328257
  fft 19: mflops = 6.93694 (norm. = 0.22239), norm. avg. (of 18) = 
0.386145
  fft 20: mflops = 6.58819 (norm. = 0.211209), norm. avg. (of 18) = 
0.335169
  fft 21: mflops = 5.36947 (norm. = 0.172139), norm. avg. (of 19) = 
0.0770467
  fft 22: mflops = 6.531 (norm. = 0.209376), norm. avg. (of 19) = 0.144561
  fft 23: mflops = 6.40436 (norm. = 0.205316), norm. avg. (of 19) = 
0.24993
  fft 24: mflops = 21.5577 (norm. = 0.691113), norm. avg. (of 19) = 
0.635991
  fft 25: mflops = 5.7232 (norm. = 0.183479), norm. avg. (of 16) = 0.21923
  fft 26: mflops = 22.251 (norm. = 0.71334), norm. avg. (of 18) = 0.366115
  fft 27: mflops = 10.9683 (norm. = 0.35163), norm. avg. (of 19) = 
0.431529
  fft 28: mflops = 9.64679 (norm. = 0.309265), norm. avg. (of 19) = 
0.152787
  fft 29: mflops = 3.20654 (norm. = 0.102798), norm. avg. (of 19) = 
0.0596194

Benchmarking for array size = 1048576 (power of 2):
0. Arndt DIF: elapsed time t=21.4385 s, 1 iters, t-(init.)=21.0362 s
    t(norm)=1.00309, mflops=4.98462 (err=1.8e-13)
1. Arndt DIT: elapsed time t=21.5527 s, 1 iters, t-(init.)=21.1504 s
    t(norm)=1.00853, mflops=4.95771 (err=1.8e-13)
2. Arndt Split-Radix: elapsed time t=25.862 s, 1 iters, t-(init.)=25.46 s
    t(norm)=1.21403, mflops=4.11852 (err=1.8e-13)
3. Arndt 4-step: elapsed time t=6.76295 s, 1 iters, t-(init.)=6.3611 s
    t(norm)=0.303321, mflops=16.4842 (err=1.8e-13)
4. Beauregard: elapsed time t=10.6047 s, 1 iters, t-(init.)=10.2022 s
    t(norm)=0.486478, mflops=10.278 (err=1.8e-13)
5. Bergland: elapsed time t=7.68216 s, 1 iters, t-(init.)=7.27976 s
    t(norm)=0.347126, mflops=14.404 (err=1.8e-13)
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=26.006 s, 1 iters, t-(init.)=25.6037 s
    t(norm)=1.22088, mflops=4.0954 (err=1.8e-13)
9. FFTPACK (f2c): elapsed time t=11.7176 s, 1 iters, t-(init.)=11.3158 s
    t(norm)=0.539577, mflops=9.26652 (err=1.8e-13)

FFTW_MEASURE plan: (cost = 4.156831e+00)
FFTW_TWIDDLE 4
FFTW_TWIDDLE 4
FFTW_TWIDDLE 64
FFTW_TWIDDLE 16
FFTW_NOTW 64

10. FFTW: elapsed time t=3.71361 s, 1 iters, t-(init.)=3.31137 s
    t(norm)=0.157899, mflops=31.6659
Found big error at 1733: 
  (0.992925,0.498767)*9.53674e-07 = (9.46927e-07,4.75661e-07) != 
(9.52e-07,4.85e-07)

Found big error at 10365: 
  (0.143577,0.466041)*9.53674e-07 = (1.36926e-07,4.44452e-07) != 
(1.35e-07,4.34e-07)

Found big error at 14273: 
  (0.498681,0.242214)*9.53674e-07 = (4.75579e-07,2.30993e-07) != 
(4.72e-07,2.41e-07)

Found big error at 17145: 
  (0.768474,0.643108)*9.53674e-07 = (7.32874e-07,6.13315e-07) != 
(7.39e-07,6.22e-07)

Found big error at 18925: 
  (0.351104,0.148473)*9.53674e-07 = (3.34839e-07,1.41594e-07) != 
(3.34e-07,1.31e-07)

Found big error at 27913: 
  (0.374355,0.710726)*9.53674e-07 = (3.57013e-07,6.77801e-07) != 
(3.6e-07,6.88e-07)

Found big error at 51221: 
  (0.774089,0.703883)*9.53674e-07 = (7.38229e-07,6.71275e-07) != 
(7.3e-07,6.78e-07)

Found big error at 53173: 
  (0.1119,1.19123)*9.53674e-07 = (1.06716e-07,1.13604e-06) != 
(1.03e-07,1.146e-06)

Found big error at 58737: 
  (1.22236,0.0406511)*9.53674e-07 = (1.16574e-06,3.87679e-08) != 
(1.171e-06,4.8e-08)

Found big error at 62213: 
  (0.17316,1.04563)*9.53674e-07 = (1.65138e-07,9.97188e-07) != 
(1.55e-07,9.94e-07)

Found big error at 65393: 
  (0.66551,0.602633)*9.53674e-07 = (6.3468e-07,5.74716e-07) != 
(6.32e-07,5.85e-07)
 (err=1.4e-04)

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

11. FFTW_ESTIMATE: elapsed time t=4.77678 s, 1 iters, t-(init.)=4.37457 s
    t(norm)=0.208596, mflops=23.9698 (err=1.8e-13)
12. Frigo-old: elapsed time t=9.00228 s, 1 iters, t-(init.)=8.60008 s
    t(norm)=0.410084, mflops=12.1926 (err=1.8e-13)
13. Skipping fft (Green can't handle this size.).
14. GSL: elapsed time t=7.76314 s, 1 iters, t-(init.)=7.36069 s
    t(norm)=0.350985, mflops=14.2456 (err=1.8e-13)
15. GSL DIT: elapsed time t=16.3908 s, 1 iters, t-(init.)=15.9884 s
    t(norm)=0.762387, mflops=6.55835 (err=1.9e-13)
16. GSL DIF: elapsed time t=16.752 s, 1 iters, t-(init.)=16.3497 s
    t(norm)=0.779613, mflops=6.41344 (err=1.9e-13)
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=15.7891 s, 1 iters, t-(init.)=15.3867 s
    t(norm)=0.733696, mflops=6.81481
20. Mayer (lookup): elapsed time t=16.5601 s, 1 iters, t-(init.)=16.1576 s
    t(norm)=0.770457, mflops=6.48966 (err=1.8e-13)
21. NAPACK (f2c): elapsed time t=19.3964 s, 1 iters, t-(init.)=18.9942 s
    t(norm)=0.905713, mflops=5.52051 (err=1.5e-11)
22. Nielsen: elapsed time t=15.8677 s, 1 iters, t-(init.)=15.4652 s
    t(norm)=0.737437, mflops=6.78024 (err=8.1e-12)
23. NR (C): elapsed time t=16.8334 s, 1 iters, t-(init.)=16.4314 s
    t(norm)=0.78351, mflops=6.38154 (err=1.8e-13)
24. Ooura (C): elapsed time t=5.04565 s, 1 iters, t-(init.)=4.6432 s
    t(norm)=0.221405, mflops=22.5831 (err=1.8e-13)
25. QFT: elapsed time t=20.7593 s, 1 iters, t-(init.)=20.3566 s
    t(norm)=0.970679, mflops=5.15103 (err=1.9e-13)
26. Ransom: elapsed time t=3.71463 s, 1 iters, t-(init.)=3.31206 s
    t(norm)=0.157931, mflops=31.6593 (err=1.8e-13)
27. Singleton (f2c): elapsed time t=8.62825 s, 1 iters, t-(init.)=8.226 s
    t(norm)=0.392246, mflops=12.7471 (err=2.6e-13)
28. Temperton (f2c): elapsed time t=10.8988 s, 1 iters, t-(init.)=10.4964 
s
    t(norm)=0.500506, mflops=9.9899 (err=1.8e-13)
29. Valkenburg: elapsed time t=34.1992 s, 1 iters, t-(init.)=33.7969 s
    t(norm)=1.61156, mflops=3.10258 (err=1.8e-13)

Top mflops for N=1048576 = 31.6659
Normalized results and averages for N=1048576:
  fft 0: mflops = 4.98462 (norm. = 0.157413), norm. avg. (of 20) = 
0.327138
  fft 1: mflops = 4.95771 (norm. = 0.156563), norm. avg. (of 20) = 
0.320704
  fft 2: mflops = 4.11852 (norm. = 0.130062), norm. avg. (of 20) = 0.21887
  fft 3: mflops = 16.4842 (norm. = 0.520566), norm. avg. (of 20) = 
0.227143
  fft 4: mflops = 10.278 (norm. = 0.324575), norm. avg. (of 20) = 0.150707
  fft 5: mflops = 14.404 (norm. = 0.454874), norm. avg. (of 20) = 0.443257
  fft 6: mflops = -1 (norm. = -0.0315797), norm. avg. (of 19) = 0.567998
  fft 7: mflops = -1 (norm. = -0.0315797), norm. avg. (of 19) = 0.608716
  fft 8: mflops = 4.0954 (norm. = 0.129332), norm. avg. (of 19) = 0.17767
  fft 9: mflops = 9.26652 (norm. = 0.292634), norm. avg. (of 20) = 
0.174803
  fft 10: mflops = 31.6659 (norm. = 1), norm. avg. (of 20) = 0.771798
  fft 11: mflops = 23.9698 (norm. = 0.75696), norm. avg. (of 20) = 
0.709978
  fft 12: mflops = 12.1926 (norm. = 0.38504), norm. avg. (of 20) = 
0.568407
  fft 13: mflops = -1 (norm. = -0.0315797), norm. avg. (of 17) = 0.688319
  fft 14: mflops = 14.2456 (norm. = 0.449873), norm. avg. (of 20) = 
0.26718
  fft 15: mflops = 6.55835 (norm. = 0.207111), norm. avg. (of 20) = 
0.234283
  fft 16: mflops = 6.41344 (norm. = 0.202535), norm. avg. (of 20) = 
0.243542
  fft 17: mflops = -1 (norm. = -0.0315797), norm. avg. (of 12) = 0.361777
  fft 18: mflops = -1 (norm. = -0.0315797), norm. avg. (of 18) = 0.328257
  fft 19: mflops = 6.81481 (norm. = 0.21521), norm. avg. (of 19) = 
0.377148
  fft 20: mflops = 6.48966 (norm. = 0.204942), norm. avg. (of 19) = 
0.328315
  fft 21: mflops = 5.52051 (norm. = 0.174336), norm. avg. (of 20) = 
0.0819112
  fft 22: mflops = 6.78024 (norm. = 0.214118), norm. avg. (of 20) = 
0.148038
  fft 23: mflops = 6.38154 (norm. = 0.201527), norm. avg. (of 20) = 
0.24751
  fft 24: mflops = 22.5831 (norm. = 0.713167), norm. avg. (of 20) = 
0.63985
  fft 25: mflops = 5.15103 (norm. = 0.162668), norm. avg. (of 17) = 
0.215903
  fft 26: mflops = 31.6593 (norm. = 0.999793), norm. avg. (of 19) = 
0.399467
  fft 27: mflops = 12.7471 (norm. = 0.40255), norm. avg. (of 20) = 0.43008
  fft 28: mflops = 9.9899 (norm. = 0.315478), norm. avg. (of 20) = 
0.160922
  fft 29: mflops = 3.10258 (norm. = 0.0979787), norm. avg. (of 20) = 
0.0615374

------------------------------------------------------
@@@@ 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. Nielsen
9. Singleton (f2c)
10. Temperton (f2c)
11. Valkenburg


Computing normalized averages (12 transforms).

Benchmarking for array size = 6:
0. CWP (min N): elapsed time t=1.54267 s, 524288 iters, t-(init.)=1.48101 
s
    t(norm)=0.182131, mflops=27.4528
1. CWP (best N) (N=15): elapsed time t=1.17385 s, 262144 iters, 
t-(init.)=1.1113 s
    t(norm)=0.273329, mflops=18.293
2. FFTPACK (f2c): elapsed time t=1.80687 s, 524288 iters, 
t-(init.)=1.74347 s
    t(norm)=0.214408, mflops=23.3201 (err=1.7e-16)

FFTW_MEASURE plan: (cost = 6.080704e-07)
FFTW_NOTW 6

3. FFTW: elapsed time t=1.36092 s, 2097152 iters, t-(init.)=1.10722 s
    t(norm)=0.0340406, mflops=146.884 (err=1.3e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.34685 s, 2097152 iters, 
t-(init.)=1.10017 s
    t(norm)=0.0338238, mflops=147.825 (err=1.3e-16)
5. Frigo-old: elapsed time t=1.60309 s, 524288 iters, t-(init.)=1.54136 s
    t(norm)=0.189553, mflops=26.3779 (err=3.2e-16)
6. GSL: elapsed time t=1.10429 s, 524288 iters, t-(init.)=1.04255 s
    t(norm)=0.12821, mflops=38.9986 (err=1.3e-16)
7. NAPACK (f2c): elapsed time t=1.03044 s, 131072 iters, 
t-(init.)=1.01498 s
    t(norm)=0.499279, mflops=10.0144 (err=2.3e-16)
8. Nielsen: elapsed time t=1.3322 s, 131072 iters, t-(init.)=1.31671 s
    t(norm)=0.647703, mflops=7.71959 (err=2.7e-16)
9. Singleton (f2c): elapsed time t=1.02502 s, 262144 iters, 
t-(init.)=0.994128 s
    t(norm)=0.24451, mflops=20.449 (err=1.3e-16)
10. Temperton (f2c): elapsed time t=1.01137 s, 131072 iters, 
t-(init.)=0.995891 s
    t(norm)=0.489888, mflops=10.2064 (err=1.2e-16)
11. Valkenburg: elapsed time t=1.05143 s, 131072 iters, t-(init.)=1.03555 
s
    t(norm)=0.509396, mflops=9.81555 (err=2.1e-16)

Top mflops for N=6 = 147.825
Normalized results and averages for N=6:
  fft 0: mflops = 27.4528 (norm. = 0.185712), norm. avg. (of 1) = 0.185712
  fft 1: mflops = 18.293 (norm. = 0.123748), norm. avg. (of 1) = 0.123748
  fft 2: mflops = 23.3201 (norm. = 0.157755), norm. avg. (of 1) = 0.157755
  fft 3: mflops = 146.884 (norm. = 0.993632), norm. avg. (of 1) = 0.993632
  fft 4: mflops = 147.825 (norm. = 1), norm. avg. (of 1) = 1
  fft 5: mflops = 26.3779 (norm. = 0.17844), norm. avg. (of 1) = 0.17844
  fft 6: mflops = 38.9986 (norm. = 0.263816), norm. avg. (of 1) = 0.263816
  fft 7: mflops = 10.0144 (norm. = 0.0677453), norm. avg. (of 1) = 
0.0677453
  fft 8: mflops = 7.71959 (norm. = 0.0522212), norm. avg. (of 1) = 
0.0522212
  fft 9: mflops = 20.449 (norm. = 0.138333), norm. avg. (of 1) = 0.138333
  fft 10: mflops = 10.2064 (norm. = 0.069044), norm. avg. (of 1) = 
0.069044
  fft 11: mflops = 9.81555 (norm. = 0.0663999), norm. avg. (of 1) = 
0.0663999

Benchmarking for array size = 9:
0. CWP (min N): elapsed time t=1.65408 s, 524288 iters, t-(init.)=1.57125 
s
    t(norm)=0.105047, mflops=47.5977
1. CWP (best N) (N=15): elapsed time t=1.17402 s, 262144 iters, 
t-(init.)=1.11152 s
    t(norm)=0.148623, mflops=33.6421
2. FFTPACK (f2c): elapsed time t=1.3144 s, 262144 iters, 
t-(init.)=1.27207 s
    t(norm)=0.17009, mflops=29.3962 (err=2.8e-16)

FFTW_MEASURE plan: (cost = 9.853668e-07)
FFTW_NOTW 9

3. FFTW: elapsed time t=1.08594 s, 1048576 iters, t-(init.)=0.916516 s
    t(norm)=0.0306372, mflops=163.2 (err=1.4e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.0789 s, 1048576 iters, 
t-(init.)=0.913292 s
    t(norm)=0.0305294, mflops=163.777 (err=1.4e-16)
5. Frigo-old: elapsed time t=1.67536 s, 262144 iters, t-(init.)=1.63388 s
    t(norm)=0.218469, mflops=22.8865 (err=3.1e-16)
6. GSL: elapsed time t=1.05957 s, 262144 iters, t-(init.)=1.01803 s
    t(norm)=0.136122, mflops=36.7318 (err=1.4e-16)
7. NAPACK (f2c): elapsed time t=1.51198 s, 131072 iters, 
t-(init.)=1.49112 s
    t(norm)=0.398761, mflops=12.5388 (err=5.8e-16)
8. Nielsen: elapsed time t=1.59626 s, 131072 iters, t-(init.)=1.57557 s
    t(norm)=0.421345, mflops=11.8668 (err=4.5e-16)
9. Singleton (f2c): elapsed time t=1.01852 s, 262144 iters, 
t-(init.)=0.977051 s
    t(norm)=0.130643, mflops=38.2723 (err=1.7e-16)
10. Temperton (f2c): elapsed time t=1.28734 s, 131072 iters, 
t-(init.)=1.26656 s
    t(norm)=0.338708, mflops=14.762 (err=1.7e-16)
11. Valkenburg: elapsed time t=1.89141 s, 131072 iters, t-(init.)=1.87029 
s
    t(norm)=0.500158, mflops=9.99683 (err=2.6e-16)

Top mflops for N=9 = 163.777
Normalized results and averages for N=9:
  fft 0: mflops = 47.5977 (norm. = 0.290626), norm. avg. (of 2) = 0.238169
  fft 1: mflops = 33.6421 (norm. = 0.205415), norm. avg. (of 2) = 0.164581
  fft 2: mflops = 29.3962 (norm. = 0.179489), norm. avg. (of 2) = 0.168622
  fft 3: mflops = 163.2 (norm. = 0.996482), norm. avg. (of 2) = 0.995057
  fft 4: mflops = 163.777 (norm. = 1), norm. avg. (of 2) = 1
  fft 5: mflops = 22.8865 (norm. = 0.139742), norm. avg. (of 2) = 0.159091
  fft 6: mflops = 36.7318 (norm. = 0.22428), norm. avg. (of 2) = 0.244048
  fft 7: mflops = 12.5388 (norm. = 0.0765607), norm. avg. (of 2) = 
0.072153
  fft 8: mflops = 11.8668 (norm. = 0.0724571), norm. avg. (of 2) = 
0.0623391
  fft 9: mflops = 38.2723 (norm. = 0.233686), norm. avg. (of 2) = 0.186009
  fft 10: mflops = 14.762 (norm. = 0.0901348), norm. avg. (of 2) = 
0.0795894
  fft 11: mflops = 9.99683 (norm. = 0.0610395), norm. avg. (of 2) = 
0.0637197

Benchmarking for array size = 12:
0. CWP (min N): elapsed time t=1.95133 s, 524288 iters, t-(init.)=1.84736 
s
    t(norm)=0.0819061, mflops=61.0455
1. CWP (best N) (N=15): elapsed time t=1.17405 s, 262144 iters, 
t-(init.)=1.11146 s
    t(norm)=0.0985574, mflops=50.7319
2. FFTPACK (f2c): elapsed time t=1.56331 s, 262144 iters, 
t-(init.)=1.51036 s
    t(norm)=0.133929, mflops=37.3331 (err=1.9e-16)

FFTW_MEASURE plan: (cost = 1.042450e-06)
FFTW_NOTW 12

3. FFTW: elapsed time t=1.15656 s, 1048576 iters, t-(init.)=0.945 s
    t(norm)=0.0209491, mflops=238.673 (err=1.3e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.14956 s, 1048576 iters, 
t-(init.)=0.941485 s
    t(norm)=0.0208712, mflops=239.564 (err=1.3e-16)
5. Frigo-old: elapsed time t=1.46662 s, 262144 iters, t-(init.)=1.41464 s
    t(norm)=0.125441, mflops=39.8592 (err=2.3e-16)
6. GSL: elapsed time t=1.0318 s, 262144 iters, t-(init.)=0.979822 s
    t(norm)=0.0868843, mflops=57.5478 (err=1.5e-16)
7. NAPACK (f2c): elapsed time t=1.08881 s, 65536 iters, t-(init.)=1.07577 
s
    t(norm)=0.381568, mflops=13.1038 (err=4.2e-16)
8. Nielsen: elapsed time t=1.85205 s, 131072 iters, t-(init.)=1.826 s
    t(norm)=0.323836, mflops=15.4399 (err=4.8e-16)
9. Singleton (f2c): elapsed time t=1.42526 s, 262144 iters, 
t-(init.)=1.37326 s
    t(norm)=0.121772, mflops=41.0605 (err=1.9e-16)
10. Temperton (f2c): elapsed time t=1.48826 s, 131072 iters, 
t-(init.)=1.4623 s
    t(norm)=0.259335, mflops=19.2801 (err=1.2e-16)
11. Valkenburg: elapsed time t=1.40376 s, 65536 iters, t-(init.)=1.3905 s
    t(norm)=0.493202, mflops=10.1378 (err=1.9e-16)

Top mflops for N=12 = 239.564
Normalized results and averages for N=12:
  fft 0: mflops = 61.0455 (norm. = 0.254819), norm. avg. (of 3) = 0.243719
  fft 1: mflops = 50.7319 (norm. = 0.211767), norm. avg. (of 3) = 0.18031
  fft 2: mflops = 37.3331 (norm. = 0.155837), norm. avg. (of 3) = 0.16436
  fft 3: mflops = 238.673 (norm. = 0.99628), norm. avg. (of 3) = 0.995465
  fft 4: mflops = 239.564 (norm. = 1), norm. avg. (of 3) = 1
  fft 5: mflops = 39.8592 (norm. = 0.166382), norm. avg. (of 3) = 0.161522
  fft 6: mflops = 57.5478 (norm. = 0.240218), norm. avg. (of 3) = 0.242771
  fft 7: mflops = 13.1038 (norm. = 0.0546985), norm. avg. (of 3) = 
0.0663348
  fft 8: mflops = 15.4399 (norm. = 0.06445), norm. avg. (of 3) = 0.0630427
  fft 9: mflops = 41.0605 (norm. = 0.171396), norm. avg. (of 3) = 0.181138
  fft 10: mflops = 19.2801 (norm. = 0.0804798), norm. avg. (of 3) = 
0.0798862
  fft 11: mflops = 10.1378 (norm. = 0.0423178), norm. avg. (of 3) = 
0.0565857

Benchmarking for array size = 15:
0. CWP (min N): elapsed time t=1.17231 s, 262144 iters, t-(init.)=1.10972 
s
    t(norm)=0.0722358, mflops=69.2177
1. CWP (best N): elapsed time t=1.17385 s, 262144 iters, t-(init.)=1.1113 
s
    t(norm)=0.0723382, mflops=69.1198
2. FFTPACK (f2c): elapsed time t=1.00977 s, 131072 iters, 
t-(init.)=0.978006 s
    t(norm)=0.127324, mflops=39.27 (err=3.6e-16)

FFTW_MEASURE plan: (cost = 1.779877e-06)
FFTW_NOTW 15

3. FFTW: elapsed time t=1.94758 s, 1048576 iters, t-(init.)=1.69387 s
    t(norm)=0.027565, mflops=181.389 (err=1.7e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.94052 s, 1048576 iters, 
t-(init.)=1.69017 s
    t(norm)=0.0275047, mflops=181.787 (err=1.7e-16)
5. Frigo-old: elapsed time t=1.41565 s, 131072 iters, t-(init.)=1.38433 s
    t(norm)=0.180222, mflops=27.7436 (err=2.7e-16)
6. GSL: elapsed time t=1.97632 s, 262144 iters, t-(init.)=1.91374 s
    t(norm)=0.124572, mflops=40.1375 (err=1.9e-16)
7. NAPACK (f2c): elapsed time t=1.06172 s, 32768 iters, t-(init.)=1.05384 
s
    t(norm)=0.548783, mflops=9.11107 (err=9.4e-16)
8. Nielsen: elapsed time t=1.08052 s, 65536 iters, t-(init.)=1.06479 s
    t(norm)=0.277243, mflops=18.0347 (err=4.5e-15)
9. Singleton (f2c): elapsed time t=1.73825 s, 262144 iters, 
t-(init.)=1.6757 s
    t(norm)=0.109077, mflops=45.839 (err=2.0e-16)
10. Temperton (f2c): elapsed time t=1.93994 s, 131072 iters, 
t-(init.)=1.90864 s
    t(norm)=0.248481, mflops=20.1223 (err=2.5e-16)
11. Valkenburg: elapsed time t=1.05997 s, 32768 iters, t-(init.)=1.05202 s
    t(norm)=0.547839, mflops=9.12677 (err=2.5e-16)

Top mflops for N=15 = 181.787
Normalized results and averages for N=15:
  fft 0: mflops = 69.2177 (norm. = 0.380763), norm. avg. (of 4) = 0.27798
  fft 1: mflops = 69.1198 (norm. = 0.380224), norm. avg. (of 4) = 0.230288
  fft 2: mflops = 39.27 (norm. = 0.216022), norm. avg. (of 4) = 0.177276
  fft 3: mflops = 181.389 (norm. = 0.997812), norm. avg. (of 4) = 0.996052
  fft 4: mflops = 181.787 (norm. = 1), norm. avg. (of 4) = 1
  fft 5: mflops = 27.7436 (norm. = 0.152616), norm. avg. (of 4) = 0.159295
  fft 6: mflops = 40.1375 (norm. = 0.220794), norm. avg. (of 4) = 0.237277
  fft 7: mflops = 9.11107 (norm. = 0.0501195), norm. avg. (of 4) = 
0.062281
  fft 8: mflops = 18.0347 (norm. = 0.0992078), norm. avg. (of 4) = 
0.072084
  fft 9: mflops = 45.839 (norm. = 0.252158), norm. avg. (of 4) = 0.198893
  fft 10: mflops = 20.1223 (norm. = 0.110692), norm. avg. (of 4) = 
0.0875875
  fft 11: mflops = 9.12677 (norm. = 0.0502058), norm. avg. (of 4) = 
0.0549907

Benchmarking for array size = 18:
0. CWP (min N): elapsed time t=1.39853 s, 262144 iters, t-(init.)=1.32543 
s
    t(norm)=0.0673624, mflops=74.2254
1. CWP (best N) (N=28): elapsed time t=1.50079 s, 262144 iters, 
t-(init.)=1.39238 s
    t(norm)=0.0707649, mflops=70.6565
2. FFTPACK (f2c): elapsed time t=1.78586 s, 131072 iters, 
t-(init.)=1.7487 s
    t(norm)=0.177748, mflops=28.1297 (err=2.6e-16)

FFTW_MEASURE plan: (cost = 2.681824e-06)
FFTW_TWIDDLE 3
FFTW_NOTW 6

3. FFTW: elapsed time t=1.4491 s, 524288 iters, t-(init.)=1.30111 s
    t(norm)=0.0330631, mflops=151.226 (err=1.9e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.46157 s, 524288 iters, 
t-(init.)=1.31532 s
    t(norm)=0.0334242, mflops=149.592 (err=2.3e-16)
5. Frigo-old: elapsed time t=1.9008 s, 131072 iters, t-(init.)=1.8642 s
    t(norm)=0.189488, mflops=26.3869 (err=3.8e-16)
6. GSL: elapsed time t=1.616 s, 262144 iters, t-(init.)=1.54263 s
    t(norm)=0.0784012, mflops=63.7746 (err=2.4e-16)
7. NAPACK (f2c): elapsed time t=1.65759 s, 65536 iters, t-(init.)=1.6393 s
    t(norm)=0.333256, mflops=15.0035 (err=6.0e-16)
8. Nielsen: elapsed time t=1.81643 s, 65536 iters, t-(init.)=1.79811 s
    t(norm)=0.36554, mflops=13.6784 (err=7.7e-16)
9. Singleton (f2c): elapsed time t=1.79021 s, 262144 iters, 
t-(init.)=1.71706 s
    t(norm)=0.0872657, mflops=57.2963 (err=1.7e-16)
10. Temperton (f2c): elapsed time t=1.46869 s, 65536 iters, 
t-(init.)=1.45036 s
    t(norm)=0.294845, mflops=16.958 (err=2.8e-16)
11. Valkenburg: elapsed time t=1.20353 s, 32768 iters, t-(init.)=1.19426 s
    t(norm)=0.485564, mflops=10.2973 (err=2.8e-16)

Top mflops for N=18 = 151.226
Normalized results and averages for N=18:
  fft 0: mflops = 74.2254 (norm. = 0.490824), norm. avg. (of 5) = 0.320549
  fft 1: mflops = 70.6565 (norm. = 0.467224), norm. avg. (of 5) = 0.277675
  fft 2: mflops = 28.1297 (norm. = 0.18601), norm. avg. (of 5) = 0.179023
  fft 3: mflops = 151.226 (norm. = 1), norm. avg. (of 5) = 0.996841
  fft 4: mflops = 149.592 (norm. = 0.989194), norm. avg. (of 5) = 0.997839
  fft 5: mflops = 26.3869 (norm. = 0.174486), norm. avg. (of 5) = 0.162333
  fft 6: mflops = 63.7746 (norm. = 0.421716), norm. avg. (of 5) = 0.274165
  fft 7: mflops = 15.0035 (norm. = 0.0992123), norm. avg. (of 5) = 
0.0696672
  fft 8: mflops = 13.6784 (norm. = 0.0904499), norm. avg. (of 5) = 
0.0757572
  fft 9: mflops = 57.2963 (norm. = 0.378878), norm. avg. (of 5) = 0.23489
  fft 10: mflops = 16.958 (norm. = 0.112137), norm. avg. (of 5) = 
0.0924974
  fft 11: mflops = 10.2973 (norm. = 0.068092), norm. avg. (of 5) = 
0.057611

Benchmarking for array size = 24:
0. CWP (min N): elapsed time t=1.50435 s, 262144 iters, t-(init.)=1.41005 
s
    t(norm)=0.0488817, mflops=102.288
1. CWP (best N) (N=28): elapsed time t=1.50071 s, 262144 iters, 
t-(init.)=1.3923 s
    t(norm)=0.0482666, mflops=103.591
2. FFTPACK (f2c): elapsed time t=1.11445 s, 65536 iters, 
t-(init.)=1.09058 s
    t(norm)=0.151227, mflops=33.0629 (err=2.4e-16)

FFTW_MEASURE plan: (cost = 3.004578e-06)
FFTW_TWIDDLE 2
FFTW_NOTW 12

3. FFTW: elapsed time t=1.62569 s, 524288 iters, t-(init.)=1.43542 s
    t(norm)=0.0248808, mflops=200.959 (err=2.0e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.62244 s, 524288 iters, 
t-(init.)=1.43393 s
    t(norm)=0.0248549, mflops=201.167 (err=2.0e-16)
5. Frigo-old: elapsed time t=1.43601 s, 131072 iters, t-(init.)=1.38892 s
    t(norm)=0.0962989, mflops=51.9216 (err=2.7e-16)
6. GSL: elapsed time t=1.8017 s, 262144 iters, t-(init.)=1.70725 s
    t(norm)=0.0591848, mflops=84.4812 (err=2.2e-16)
7. NAPACK (f2c): elapsed time t=1.08125 s, 32768 iters, t-(init.)=1.0694 s
    t(norm)=0.29658, mflops=16.8588 (err=8.2e-16)
8. Nielsen: elapsed time t=1.57155 s, 65536 iters, t-(init.)=1.54796 s
    t(norm)=0.214651, mflops=23.2937 (err=1.4e-15)
9. Singleton (f2c): elapsed time t=1.39098 s, 131072 iters, 
t-(init.)=1.34377 s
    t(norm)=0.0931684, mflops=53.6663 (err=2.2e-16)
10. Temperton (f2c): elapsed time t=1.66269 s, 65536 iters, 
t-(init.)=1.63909 s
    t(norm)=0.227287, mflops=21.9986 (err=2.7e-16)
11. Valkenburg: elapsed time t=1.74284 s, 32768 iters, t-(init.)=1.73078 s
    t(norm)=0.480005, mflops=10.4166 (err=2.9e-16)

Top mflops for N=24 = 201.167
Normalized results and averages for N=24:
  fft 0: mflops = 102.288 (norm. = 0.508471), norm. avg. (of 6) = 0.351869
  fft 1: mflops = 103.591 (norm. = 0.51495), norm. avg. (of 6) = 0.317221
  fft 2: mflops = 33.0629 (norm. = 0.164355), norm. avg. (of 6) = 0.176578
  fft 3: mflops = 200.959 (norm. = 0.998961), norm. avg. (of 6) = 0.997195
  fft 4: mflops = 201.167 (norm. = 1), norm. avg. (of 6) = 0.998199
  fft 5: mflops = 51.9216 (norm. = 0.258102), norm. avg. (of 6) = 0.178295
  fft 6: mflops = 84.4812 (norm. = 0.419955), norm. avg. (of 6) = 0.298463
  fft 7: mflops = 16.8588 (norm. = 0.083805), norm. avg. (of 6) = 
0.0720235
  fft 8: mflops = 23.2937 (norm. = 0.115792), norm. avg. (of 6) = 
0.0824297
  fft 9: mflops = 53.6663 (norm. = 0.266774), norm. avg. (of 6) = 0.240204
  fft 10: mflops = 21.9986 (norm. = 0.109355), norm. avg. (of 6) = 
0.095307
  fft 11: mflops = 10.4166 (norm. = 0.0517805), norm. avg. (of 6) = 
0.0566393

Benchmarking for array size = 36:
0. CWP (min N): elapsed time t=1.06507 s, 131072 iters, 
t-(init.)=0.996785 s
    t(norm)=0.0408606, mflops=122.367
1. CWP (best N): elapsed time t=1.06797 s, 131072 iters, 
t-(init.)=0.99967 s
    t(norm)=0.0409789, mflops=122.014
2. FFTPACK (f2c): elapsed time t=1.73536 s, 65536 iters, 
t-(init.)=1.70088 s
    t(norm)=0.139446, mflops=35.8561 (err=3.7e-16)

FFTW_MEASURE plan: (cost = 4.716858e-06)
FFTW_TWIDDLE 3
FFTW_NOTW 12

3. FFTW: elapsed time t=1.27243 s, 262144 iters, t-(init.)=1.13501 s
    t(norm)=0.0232634, mflops=214.93 (err=3.5e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.27047 s, 262144 iters, 
t-(init.)=1.13378 s
    t(norm)=0.0232382, mflops=215.163 (err=3.5e-16)
5. Frigo-old: elapsed time t=1.87489 s, 65536 iters, t-(init.)=1.84061 s
    t(norm)=0.150902, mflops=33.134 (err=4.8e-16)
6. GSL: elapsed time t=1.33116 s, 131072 iters, t-(init.)=1.26276 s
    t(norm)=0.0517637, mflops=96.5927 (err=2.8e-16)
7. NAPACK (f2c): elapsed time t=1.68764 s, 32768 iters, t-(init.)=1.67053 
s
    t(norm)=0.273916, mflops=18.2538 (err=1.0e-15)
8. Nielsen: elapsed time t=1.49345 s, 32768 iters, t-(init.)=1.4763 s
    t(norm)=0.242069, mflops=20.6553 (err=9.7e-16)
9. Singleton (f2c): elapsed time t=1.45762 s, 131072 iters, 
t-(init.)=1.38932 s
    t(norm)=0.0569518, mflops=87.7936 (err=2.7e-16)
10. Temperton (f2c): elapsed time t=1.23119 s, 32768 iters, 
t-(init.)=1.21409 s
    t(norm)=0.199075, mflops=25.1162 (err=3.9e-16)
11. Valkenburg: elapsed time t=1.45521 s, 16384 iters, t-(init.)=1.44667 s
    t(norm)=0.474421, mflops=10.5392 (err=4.0e-16)

Top mflops for N=36 = 215.163
Normalized results and averages for N=36:
  fft 0: mflops = 122.367 (norm. = 0.568718), norm. avg. (of 7) = 0.382847
  fft 1: mflops = 122.014 (norm. = 0.567077), norm. avg. (of 7) = 0.352915
  fft 2: mflops = 35.8561 (norm. = 0.166646), norm. avg. (of 7) = 0.175159
  fft 3: mflops = 214.93 (norm. = 0.998916), norm. avg. (of 7) = 0.997441
  fft 4: mflops = 215.163 (norm. = 1), norm. avg. (of 7) = 0.998456
  fft 5: mflops = 33.134 (norm. = 0.153995), norm. avg. (of 7) = 0.174823
  fft 6: mflops = 96.5927 (norm. = 0.448928), norm. avg. (of 7) = 0.319958
  fft 7: mflops = 18.2538 (norm. = 0.0848369), norm. avg. (of 7) = 
0.073854
  fft 8: mflops = 20.6553 (norm. = 0.0959982), norm. avg. (of 7) = 
0.0843681
  fft 9: mflops = 87.7936 (norm. = 0.408033), norm. avg. (of 7) = 0.26418
  fft 10: mflops = 25.1162 (norm. = 0.116731), norm. avg. (of 7) = 
0.0983675
  fft 11: mflops = 10.5392 (norm. = 0.0489822), norm. avg. (of 7) = 
0.0555454

Benchmarking for array size = 80:
0. CWP (min N): elapsed time t=1.15775 s, 65536 iters, t-(init.)=1.08475 s
    t(norm)=0.0327273, mflops=152.778
1. CWP (best N) (N=84): elapsed time t=1.02548 s, 65536 iters, 
t-(init.)=0.948977 s
    t(norm)=0.028631, mflops=174.636
2. FFTPACK (f2c): elapsed time t=1.8421 s, 32768 iters, t-(init.)=1.80554 
s
    t(norm)=0.108948, mflops=45.8935 (err=7.7e-16)

FFTW_MEASURE plan: (cost = 1.124988e-05)
FFTW_TWIDDLE 5
FFTW_NOTW 16

3. FFTW: elapsed time t=1.50625 s, 131072 iters, t-(init.)=1.35996 s
    t(norm)=0.0205152, mflops=243.722 (err=7.3e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.50536 s, 131072 iters, 
t-(init.)=1.35925 s
    t(norm)=0.0205045, mflops=243.849 (err=7.3e-16)
5. Frigo-old: elapsed time t=1.28148 s, 32768 iters, t-(init.)=1.24501 s
    t(norm)=0.0751251, mflops=66.5556 (err=7.1e-16)
6. GSL: elapsed time t=1.33283 s, 32768 iters, t-(init.)=1.2964 s
    t(norm)=0.0782257, mflops=63.9176 (err=6.9e-16)
7. NAPACK (f2c): elapsed time t=1.64568 s, 8192 iters, t-(init.)=1.63648 s
    t(norm)=0.394986, mflops=12.6587 (err=1.1e-15)
8. Nielsen: elapsed time t=1.09666 s, 16384 iters, t-(init.)=1.07833 s
    t(norm)=0.130135, mflops=38.4218 (err=5.4e-15)
9. Singleton (f2c): elapsed time t=1.29992 s, 65536 iters, 
t-(init.)=1.22702 s
    t(norm)=0.0370195, mflops=135.064 (err=1.3e-15)
10. Temperton (f2c): elapsed time t=1.42784 s, 16384 iters, 
t-(init.)=1.4096 s
    t(norm)=0.170112, mflops=29.3923 (err=7.0e-16)
11. Valkenburg: elapsed time t=1.03447 s, 4096 iters, t-(init.)=1.02992 s
    t(norm)=0.49717, mflops=10.0569 (err=8.4e-16)

Top mflops for N=80 = 243.849
Normalized results and averages for N=80:
  fft 0: mflops = 152.778 (norm. = 0.626525), norm. avg. (of 8) = 0.413307
  fft 1: mflops = 174.636 (norm. = 0.716163), norm. avg. (of 8) = 0.398321
  fft 2: mflops = 45.8935 (norm. = 0.188204), norm. avg. (of 8) = 0.17679
  fft 3: mflops = 243.722 (norm. = 0.999477), norm. avg. (of 8) = 0.997695
  fft 4: mflops = 243.849 (norm. = 1), norm. avg. (of 8) = 0.998649
  fft 5: mflops = 66.5556 (norm. = 0.272937), norm. avg. (of 8) = 0.187088
  fft 6: mflops = 63.9176 (norm. = 0.262119), norm. avg. (of 8) = 0.312728
  fft 7: mflops = 12.6587 (norm. = 0.0519119), norm. avg. (of 8) = 
0.0711112
  fft 8: mflops = 38.4218 (norm. = 0.157564), norm. avg. (of 8) = 
0.0935175
  fft 9: mflops = 135.064 (norm. = 0.553882), norm. avg. (of 8) = 0.300392
  fft 10: mflops = 29.3923 (norm. = 0.120535), norm. avg. (of 8) = 
0.101138
  fft 11: mflops = 10.0569 (norm. = 0.0412424), norm. avg. (of 8) = 
0.0537575

Benchmarking for array size = 108:
0. CWP (min N) (N=110): elapsed time t=1.94017 s, 65536 iters, 
t-(init.)=1.8407 s
    t(norm)=0.0385001, mflops=129.87
1. CWP (best N) (N=112): elapsed time t=1.52259 s, 65536 iters, 
t-(init.)=1.42148 s
    t(norm)=0.0297317, mflops=168.171
2. FFTPACK (f2c): elapsed time t=1.40011 s, 16384 iters, 
t-(init.)=1.37565 s
    t(norm)=0.115092, mflops=43.4436 (err=4.7e-16)

FFTW_MEASURE plan: (cost = 1.666431e-05)
FFTW_TWIDDLE 9
FFTW_NOTW 12

3. FFTW: elapsed time t=1.11203 s, 65536 iters, t-(init.)=1.01402 s
    t(norm)=0.0212092, mflops=235.747 (err=3.7e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.11103 s, 65536 iters, 
t-(init.)=1.01341 s
    t(norm)=0.0211964, mflops=235.89 (err=3.7e-16)
5. Frigo-old: elapsed time t=1.98484 s, 16384 iters, t-(init.)=1.96042 s
    t(norm)=0.164016, mflops=30.4848 (err=5.5e-16)
6. GSL: elapsed time t=1.36784 s, 32768 iters, t-(init.)=1.31905 s
    t(norm)=0.0551783, mflops=90.6154 (err=4.7e-16)
7. NAPACK (f2c): elapsed time t=1.50862 s, 8192 iters, t-(init.)=1.49639 s
    t(norm)=0.250388, mflops=19.969 (err=2.7e-15)
8. Nielsen: elapsed time t=1.28203 s, 8192 iters, t-(init.)=1.26981 s
    t(norm)=0.212474, mflops=23.5322 (err=1.1e-15)
9. Singleton (f2c): elapsed time t=1.27557 s, 32768 iters, 
t-(init.)=1.22662 s
    t(norm)=0.0513117, mflops=97.4436 (err=5.1e-16)
10. Temperton (f2c): elapsed time t=1.12401 s, 8192 iters, 
t-(init.)=1.11175 s
    t(norm)=0.186027, mflops=26.8778 (err=3.8e-16)
11. Valkenburg: elapsed time t=1.40162 s, 4096 iters, t-(init.)=1.39551 s
    t(norm)=0.467015, mflops=10.7063 (err=5.2e-16)

Top mflops for N=108 = 235.89
Normalized results and averages for N=108:
  fft 0: mflops = 129.87 (norm. = 0.550554), norm. avg. (of 9) = 0.428557
  fft 1: mflops = 168.171 (norm. = 0.712921), norm. avg. (of 9) = 0.433276
  fft 2: mflops = 43.4436 (norm. = 0.184169), norm. avg. (of 9) = 0.17761
  fft 3: mflops = 235.747 (norm. = 0.999394), norm. avg. (of 9) = 0.997884
  fft 4: mflops = 235.89 (norm. = 1), norm. avg. (of 9) = 0.998799
  fft 5: mflops = 30.4848 (norm. = 0.129233), norm. avg. (of 9) = 0.180659
  fft 6: mflops = 90.6154 (norm. = 0.384143), norm. avg. (of 9) = 0.320663
  fft 7: mflops = 19.969 (norm. = 0.084654), norm. avg. (of 9) = 0.072616
  fft 8: mflops = 23.5322 (norm. = 0.0997596), norm. avg. (of 9) = 
0.0942111
  fft 9: mflops = 97.4436 (norm. = 0.41309), norm. avg. (of 9) = 0.312914
  fft 10: mflops = 26.8778 (norm. = 0.113942), norm. avg. (of 9) = 
0.102561
  fft 11: mflops = 10.7063 (norm. = 0.0453869), norm. avg. (of 9) = 
0.0528274

Benchmarking for array size = 210:
0. CWP (min N): elapsed time t=1.52516 s, 32768 iters, t-(init.)=1.43139 s
    t(norm)=0.0269647, mflops=185.428
1. CWP (best N): elapsed time t=1.5254 s, 32768 iters, t-(init.)=1.43165 s
    t(norm)=0.0269695, mflops=185.394
2. FFTPACK (f2c): elapsed time t=1.05465 s, 4096 iters, t-(init.)=1.04284 
s
    t(norm)=0.157162, mflops=31.8144 (err=5.7e-16)

FFTW_MEASURE plan: (cost = 4.332031e-05)
FFTW_TWIDDLE 3
FFTW_TWIDDLE 7
FFTW_NOTW 10

3. FFTW: elapsed time t=1.45277 s, 32768 iters, t-(init.)=1.35888 s
    t(norm)=0.0255988, mflops=195.322 (err=4.6e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.51935 s, 32768 iters, 
t-(init.)=1.42563 s
    t(norm)=0.0268562, mflops=186.177 (err=4.6e-16)
5. Frigo-old: elapsed time t=1.03239 s, 4096 iters, t-(init.)=1.0206 s
    t(norm)=0.153809, mflops=32.5078 (err=5.8e-16)
6. GSL: elapsed time t=1.04906 s, 8192 iters, t-(init.)=1.02559 s
    t(norm)=0.0772805, mflops=64.6994 (err=5.3e-16)
7. NAPACK (f2c): elapsed time t=1.61255 s, 2048 iters, t-(init.)=1.60672 s
    t(norm)=0.484282, mflops=10.3246 (err=1.4e-14)
8. Nielsen: elapsed time t=1.05731 s, 4096 iters, t-(init.)=1.04553 s
    t(norm)=0.157566, mflops=31.7327 (err=7.6e-15)
9. Singleton (f2c): elapsed time t=1.71139 s, 16384 iters, 
t-(init.)=1.6643 s
    t(norm)=0.0627046, mflops=79.739 (err=6.7e-16)
10. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
11. Valkenburg: elapsed time t=1.92386 s, 2048 iters, t-(init.)=1.91795 s
    t(norm)=0.578089, mflops=8.64919 (err=6.5e-16)

Top mflops for N=210 = 195.322
Normalized results and averages for N=210:
  fft 0: mflops = 185.428 (norm. = 0.949344), norm. avg. (of 10) = 
0.480636
  fft 1: mflops = 185.394 (norm. = 0.949174), norm. avg. (of 10) = 
0.484866
  fft 2: mflops = 31.8144 (norm. = 0.162882), norm. avg. (of 10) = 
0.176137
  fft 3: mflops = 195.322 (norm. = 1), norm. avg. (of 10) = 0.998096
  fft 4: mflops = 186.177 (norm. = 0.953179), norm. avg. (of 10) = 
0.994237
  fft 5: mflops = 32.5078 (norm. = 0.166432), norm. avg. (of 10) = 
0.179237
  fft 6: mflops = 64.6994 (norm. = 0.331245), norm. avg. (of 10) = 
0.321721
  fft 7: mflops = 10.3246 (norm. = 0.0528593), norm. avg. (of 10) = 
0.0706403
  fft 8: mflops = 31.7327 (norm. = 0.162464), norm. avg. (of 10) = 
0.101036
  fft 9: mflops = 79.739 (norm. = 0.408244), norm. avg. (of 10) = 0.322447
  fft 10: mflops = -1 (norm. = -0.00511976), norm. avg. (of 9) = 0.102561
  fft 11: mflops = 8.64919 (norm. = 0.0442818), norm. avg. (of 10) = 
0.0519729

Benchmarking for array size = 504:
0. CWP (min N): elapsed time t=1.96048 s, 16384 iters, t-(init.)=1.8489 s
    t(norm)=0.0249413, mflops=200.471
1. CWP (best N): elapsed time t=1.96071 s, 16384 iters, t-(init.)=1.84885 
s
    t(norm)=0.0249406, mflops=200.476
2. FFTPACK (f2c): elapsed time t=1.4999 s, 2048 iters, t-(init.)=1.48587 s
    t(norm)=0.160353, mflops=31.1813 (err=9.8e-16)

FFTW_MEASURE plan: (cost = 1.018320e-04)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 6
FFTW_NOTW 12

3. FFTW: elapsed time t=1.68424 s, 16384 iters, t-(init.)=1.57253 s
    t(norm)=0.0212131, mflops=235.703 (err=9.2e-16)

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

4. FFTW_ESTIMATE: elapsed time t=1.91881 s, 16384 iters, t-(init.)=1.8071 
s
    t(norm)=0.0243774, mflops=205.108 (err=8.8e-16)
5. Frigo-old: elapsed time t=1.22829 s, 2048 iters, t-(init.)=1.21427 s
    t(norm)=0.131042, mflops=38.1557 (err=1.0e-15)
6. GSL: elapsed time t=1.09167 s, 4096 iters, t-(init.)=1.06369 s
    t(norm)=0.0573959, mflops=87.1142 (err=8.9e-16)
7. NAPACK (f2c): elapsed time t=1.71845 s, 1024 iters, t-(init.)=1.71128 s
    t(norm)=0.369356, mflops=13.5371 (err=4.2e-14)
8. Nielsen: elapsed time t=1.54587 s, 2048 iters, t-(init.)=1.53186 s
    t(norm)=0.165315, mflops=30.2452 (err=5.8e-15)
9. Singleton (f2c): elapsed time t=1.00326 s, 4096 iters, 
t-(init.)=0.975363 s
    t(norm)=0.0526297, mflops=95.0034 (err=1.3e-15)
10. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
11. Valkenburg: elapsed time t=1.22349 s, 512 iters, t-(init.)=1.22001 s
    t(norm)=0.526645, mflops=9.49406 (err=1.0e-15)

Top mflops for N=504 = 235.703
Normalized results and averages for N=504:
  fft 0: mflops = 200.471 (norm. = 0.850523), norm. avg. (of 11) = 
0.514262
  fft 1: mflops = 200.476 (norm. = 0.850546), norm. avg. (of 11) = 0.51811
  fft 2: mflops = 31.1813 (norm. = 0.13229), norm. avg. (of 11) = 0.172151
  fft 3: mflops = 235.703 (norm. = 1), norm. avg. (of 11) = 0.998269
  fft 4: mflops = 205.108 (norm. = 0.870196), norm. avg. (of 11) = 
0.982961
  fft 5: mflops = 38.1557 (norm. = 0.16188), norm. avg. (of 11) = 0.177659
  fft 6: mflops = 87.1142 (norm. = 0.369593), norm. avg. (of 11) = 
0.326073
  fft 7: mflops = 13.5371 (norm. = 0.0574327), norm. avg. (of 11) = 
0.0694396
  fft 8: mflops = 30.2452 (norm. = 0.128319), norm. avg. (of 11) = 
0.103517
  fft 9: mflops = 95.0034 (norm. = 0.403063), norm. avg. (of 11) = 
0.329776
  fft 10: mflops = -1 (norm. = -0.00424262), norm. avg. (of 9) = 0.102561
  fft 11: mflops = 9.49406 (norm. = 0.0402797), norm. avg. (of 11) = 
0.0509099

Benchmarking for array size = 1000:
0. CWP (min N) (N=1001): elapsed time t=1.62558 s, 4096 iters, 
t-(init.)=1.56981 s
    t(norm)=0.0384571, mflops=130.015
1. CWP (best N) (N=1008): elapsed time t=1.12917 s, 4096 iters, 
t-(init.)=1.0734 s
    t(norm)=0.026296, mflops=190.143
2. FFTPACK (f2c): elapsed time t=1.83595 s, 1024 iters, t-(init.)=1.82195 
s
    t(norm)=0.178536, mflops=28.0056 (err=3.1e-15)

FFTW_MEASURE plan: (cost = 4.316719e-04)
FFTW_TWIDDLE 10
FFTW_TWIDDLE 10
FFTW_NOTW 10

3. FFTW: elapsed time t=1.7601 s, 4096 iters, t-(init.)=1.70463 s
    t(norm)=0.0417597, mflops=119.733 (err=3.1e-15)

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

4. FFTW_ESTIMATE: elapsed time t=1.76017 s, 4096 iters, t-(init.)=1.70472 
s
    t(norm)=0.0417621, mflops=119.726 (err=3.1e-15)
5. Frigo-old: elapsed time t=1.05839 s, 512 iters, t-(init.)=1.05125 s
    t(norm)=0.206027, mflops=24.2687 (err=3.1e-15)
6. GSL: elapsed time t=1.48176 s, 1024 iters, t-(init.)=1.46781 s
    t(norm)=0.143833, mflops=34.7626 (err=3.1e-15)
7. NAPACK (f2c): elapsed time t=1.17502 s, 256 iters, t-(init.)=1.17142 s
    t(norm)=0.459158, mflops=10.8895 (err=1.8e-14)
8. Nielsen: elapsed time t=1.23363 s, 1024 iters, t-(init.)=1.21959 s
    t(norm)=0.11951, mflops=41.8375 (err=1.5e-14)
9. Singleton (f2c): elapsed time t=1.57343 s, 4096 iters, 
t-(init.)=1.51816 s
    t(norm)=0.0371917, mflops=134.439 (err=4.7e-15)
10. Temperton (f2c): elapsed time t=1.87446 s, 1024 iters, 
t-(init.)=1.86064 s
    t(norm)=0.182327, mflops=27.4233 (err=3.0e-15)
11. Valkenburg: elapsed time t=1.53089 s, 256 iters, t-(init.)=1.52735 s
    t(norm)=0.598671, mflops=8.35184 (err=3.0e-15)

Top mflops for N=1000 = 190.143
Normalized results and averages for N=1000:
  fft 0: mflops = 130.015 (norm. = 0.683774), norm. avg. (of 12) = 
0.528388
  fft 1: mflops = 190.143 (norm. = 1), norm. avg. (of 12) = 0.558267
  fft 2: mflops = 28.0056 (norm. = 0.147287), norm. avg. (of 12) = 
0.170079
  fft 3: mflops = 119.733 (norm. = 0.629697), norm. avg. (of 12) = 
0.967554
  fft 4: mflops = 119.726 (norm. = 0.629661), norm. avg. (of 12) = 
0.953519
  fft 5: mflops = 24.2687 (norm. = 0.127634), norm. avg. (of 12) = 0.17349
  fft 6: mflops = 34.7626 (norm. = 0.182823), norm. avg. (of 12) = 
0.314136
  fft 7: mflops = 10.8895 (norm. = 0.05727), norm. avg. (of 12) = 
0.0684255
  fft 8: mflops = 41.8375 (norm. = 0.220032), norm. avg. (of 12) = 
0.113226
  fft 9: mflops = 134.439 (norm. = 0.70704), norm. avg. (of 12) = 0.361215
  fft 10: mflops = 27.4233 (norm. = 0.144224), norm. avg. (of 10) = 
0.106727
  fft 11: mflops = 8.35184 (norm. = 0.0439239), norm. avg. (of 12) = 
0.0503277

Benchmarking for array size = 1960:
0. CWP (min N) (N=1980): elapsed time t=1.48357 s, 2048 iters, 
t-(init.)=1.42572 s
    t(norm)=0.0324761, mflops=153.959
1. CWP (best N) (N=1980): elapsed time t=1.4833 s, 2048 iters, 
t-(init.)=1.42551 s
    t(norm)=0.0324714, mflops=153.982
2. FFTPACK (f2c): elapsed time t=1.47679 s, 128 iters, t-(init.)=1.47279 s
    t(norm)=0.536773, mflops=9.31492 (err=1.5e-15)

FFTW_MEASURE plan: (cost = 1.083391e-03)
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_NOTW 8

3. FFTW: elapsed time t=1.1838 s, 512 iters, t-(init.)=1.16891 s
    t(norm)=0.106505, mflops=46.9461 (err=1.5e-15)

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

4. FFTW_ESTIMATE: elapsed time t=1.16672 s, 512 iters, t-(init.)=1.15182 s
    t(norm)=0.104948, mflops=47.6425 (err=1.5e-15)
5. Frigo-old: elapsed time t=1.49084 s, 256 iters, t-(init.)=1.48335 s
    t(norm)=0.270312, mflops=18.4971 (err=1.5e-15)
6. GSL: elapsed time t=1.71634 s, 256 iters, t-(init.)=1.70854 s
    t(norm)=0.311347, mflops=16.0592 (err=1.6e-15)
7. NAPACK (f2c): elapsed time t=1.13332 s, 64 iters, t-(init.)=1.13101 s
    t(norm)=0.824418, mflops=6.06489 (err=1.3e-13)
8. Nielsen: elapsed time t=1.26612 s, 256 iters, t-(init.)=1.25842 s
    t(norm)=0.229323, mflops=21.8033 (err=1.7e-14)
9. Singleton (f2c): elapsed time t=1.1856 s, 1024 iters, 
t-(init.)=1.15699 s
    t(norm)=0.0527098, mflops=94.859 (err=2.3e-15)
10. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
11. Valkenburg: elapsed time t=1.12674 s, 64 iters, t-(init.)=1.1243 s
    t(norm)=0.819527, mflops=6.10108 (err=1.4e-15)

Top mflops for N=1960 = 153.982
Normalized results and averages for N=1960:
  fft 0: mflops = 153.959 (norm. = 0.999856), norm. avg. (of 13) = 
0.564654
  fft 1: mflops = 153.982 (norm. = 1), norm. avg. (of 13) = 0.592247
  fft 2: mflops = 9.31492 (norm. = 0.0604937), norm. avg. (of 13) = 
0.161649
  fft 3: mflops = 46.9461 (norm. = 0.304881), norm. avg. (of 13) = 0.91658
  fft 4: mflops = 47.6425 (norm. = 0.309403), norm. avg. (of 13) = 
0.903972
  fft 5: mflops = 18.4971 (norm. = 0.120126), norm. avg. (of 13) = 
0.169385
  fft 6: mflops = 16.0592 (norm. = 0.104293), norm. avg. (of 13) = 
0.297994
  fft 7: mflops = 6.06489 (norm. = 0.0393871), norm. avg. (of 13) = 
0.0661918
  fft 8: mflops = 21.8033 (norm. = 0.141597), norm. avg. (of 13) = 
0.115409
  fft 9: mflops = 94.859 (norm. = 0.616041), norm. avg. (of 13) = 0.380817
  fft 10: mflops = -1 (norm. = -0.00649428), norm. avg. (of 10) = 0.106727
  fft 11: mflops = 6.10108 (norm. = 0.0396221), norm. avg. (of 13) = 
0.0495042

Benchmarking for array size = 4725:
0. CWP (min N) (N=5005): elapsed time t=1.00063 s, 256 iters, 
t-(init.)=0.865084 s
    t(norm)=0.0585922, mflops=85.3356
1. CWP (best N) (N=5040): elapsed time t=1.82459 s, 512 iters, 
t-(init.)=1.55191 s
    t(norm)=0.0525554, mflops=95.1378
2. FFTPACK (f2c): elapsed time t=1.70389 s, 64 iters, t-(init.)=1.67092 s
    t(norm)=0.452686, mflops=11.0452 (err=2.4e-15)

FFTW_MEASURE plan: (cost = 3.066125e-03)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_NOTW 15

3. FFTW: elapsed time t=1.58532 s, 256 iters, t-(init.)=1.45638 s
    t(norm)=0.0986409, mflops=50.6889 (err=2.4e-15)

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

4. FFTW_ESTIMATE: elapsed time t=1.79775 s, 256 iters, t-(init.)=1.66895 s
    t(norm)=0.113038, mflops=44.2329 (err=2.3e-15)
5. Frigo-old: elapsed time t=1.47854 s, 64 iters, t-(init.)=1.44565 s
    t(norm)=0.391657, mflops=12.7663 (err=2.3e-15)
6. GSL: elapsed time t=1.02765 s, 64 iters, t-(init.)=0.994611 s
    t(norm)=0.26946, mflops=18.5556 (err=2.4e-15)
7. NAPACK (f2c): elapsed time t=1.46175 s, 32 iters, t-(init.)=1.44487 s
    t(norm)=0.782891, mflops=6.38658 (err=3.5e-13)
8. Nielsen: elapsed time t=1.10057 s, 64 iters, t-(init.)=1.06729 s
    t(norm)=0.28915, mflops=17.2921 (err=4.4e-14)
9. Singleton (f2c): elapsed time t=1.90971 s, 256 iters, 
t-(init.)=1.78187 s
    t(norm)=0.120686, mflops=41.4297 (err=3.3e-15)
10. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
11. Valkenburg: elapsed time t=1.46652 s, 32 iters, t-(init.)=1.44923 s
    t(norm)=0.785251, mflops=6.36739 (err=2.3e-15)

Top mflops for N=4725 = 95.1378
Normalized results and averages for N=4725:
  fft 0: mflops = 85.3356 (norm. = 0.896969), norm. avg. (of 14) = 
0.588391
  fft 1: mflops = 95.1378 (norm. = 1), norm. avg. (of 14) = 0.621372
  fft 2: mflops = 11.0452 (norm. = 0.116097), norm. avg. (of 14) = 
0.158396
  fft 3: mflops = 50.6889 (norm. = 0.532795), norm. avg. (of 14) = 
0.889166
  fft 4: mflops = 44.2329 (norm. = 0.464935), norm. avg. (of 14) = 
0.872612
  fft 5: mflops = 12.7663 (norm. = 0.134187), norm. avg. (of 14) = 
0.166871
  fft 6: mflops = 18.5556 (norm. = 0.195039), norm. avg. (of 14) = 0.29064
  fft 7: mflops = 6.38658 (norm. = 0.0671299), norm. avg. (of 14) = 
0.0662588
  fft 8: mflops = 17.2921 (norm. = 0.181758), norm. avg. (of 14) = 
0.120148
  fft 9: mflops = 41.4297 (norm. = 0.43547), norm. avg. (of 14) = 0.384721
  fft 10: mflops = -1 (norm. = -0.0105111), norm. avg. (of 10) = 0.106727
  fft 11: mflops = 6.36739 (norm. = 0.0669281), norm. avg. (of 14) = 
0.0507488

Benchmarking for array size = 10368:
0. CWP (min N) (N=10920): elapsed time t=1.2119 s, 128 iters, 
t-(init.)=1.064 s
    t(norm)=0.0601015, mflops=83.1926
1. CWP (best N) (N=11088): elapsed time t=1.15953 s, 128 iters, 
t-(init.)=1.00948 s
    t(norm)=0.0570221, mflops=87.6852
2. FFTPACK (f2c): elapsed time t=1.43939 s, 32 iters, t-(init.)=1.40272 s
    t(norm)=0.316939, mflops=15.7759 (err=4.7e-15)

FFTW_MEASURE plan: (cost = 7.121125e-03)
FFTW_TWIDDLE 32
FFTW_TWIDDLE 3
FFTW_TWIDDLE 9
FFTW_NOTW 12

3. FFTW: elapsed time t=1.09509 s, 64 iters, t-(init.)=1.0223 s
    t(norm)=0.115492, mflops=43.293 (err=4.7e-15)

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

4. FFTW_ESTIMATE: elapsed time t=1.96202 s, 128 iters, t-(init.)=1.81878 s
    t(norm)=0.102736, mflops=48.6682 (err=4.7e-15)
5. Frigo-old: elapsed time t=1.28127 s, 32 iters, t-(init.)=1.24387 s
    t(norm)=0.281048, mflops=17.7906 (err=4.8e-15)
6. GSL: elapsed time t=1.05576 s, 32 iters, t-(init.)=1.01801 s
    t(norm)=0.230015, mflops=21.7377 (err=4.7e-15)
7. NAPACK (f2c): elapsed time t=1.76313 s, 16 iters, t-(init.)=1.7429 s
    t(norm)=0.787604, mflops=6.34837 (err=7.8e-14)
8. Nielsen: elapsed time t=1.36805 s, 32 iters, t-(init.)=1.33054 s
    t(norm)=0.300629, mflops=16.6318 (err=1.1e-14)
9. Singleton (f2c): elapsed time t=1.37131 s, 64 iters, t-(init.)=1.30118 
s
    t(norm)=0.146998, mflops=34.0141 (err=6.7e-15)
10. Temperton (f2c): elapsed time t=1.13936 s, 32 iters, 
t-(init.)=1.10434 s
    t(norm)=0.24952, mflops=20.0384 (err=4.7e-15)
11. Valkenburg: elapsed time t=1.94359 s, 16 iters, t-(init.)=1.92338 s
    t(norm)=0.86916, mflops=5.75268 (err=4.7e-15)

Top mflops for N=10368 = 87.6852
Normalized results and averages for N=10368:
  fft 0: mflops = 83.1926 (norm. = 0.948764), norm. avg. (of 15) = 
0.612416
  fft 1: mflops = 87.6852 (norm. = 1), norm. avg. (of 15) = 0.646614
  fft 2: mflops = 15.7759 (norm. = 0.179915), norm. avg. (of 15) = 0.15983
  fft 3: mflops = 43.293 (norm. = 0.493732), norm. avg. (of 15) = 0.862804
  fft 4: mflops = 48.6682 (norm. = 0.555033), norm. avg. (of 15) = 0.85144
  fft 5: mflops = 17.7906 (norm. = 0.202891), norm. avg. (of 15) = 
0.169272
  fft 6: mflops = 21.7377 (norm. = 0.247906), norm. avg. (of 15) = 
0.287791
  fft 7: mflops = 6.34837 (norm. = 0.0723995), norm. avg. (of 15) = 
0.0666682
  fft 8: mflops = 16.6318 (norm. = 0.189676), norm. avg. (of 15) = 
0.124783
  fft 9: mflops = 34.0141 (norm. = 0.387911), norm. avg. (of 15) = 
0.384933
  fft 10: mflops = 20.0384 (norm. = 0.228527), norm. avg. (of 11) = 0.1178
  fft 11: mflops = 5.75268 (norm. = 0.065606), norm. avg. (of 15) = 
0.0517392

Benchmarking for array size = 27000:
0. CWP (min N) (N=27720): elapsed time t=1.59461 s, 64 iters, 
t-(init.)=1.40555 s
    t(norm)=0.0552555, mflops=90.4887
1. CWP (best N) (N=27720): elapsed time t=1.59493 s, 64 iters, 
t-(init.)=1.40653 s
    t(norm)=0.0552941, mflops=90.4255
2. FFTPACK (f2c): elapsed time t=1.9881 s, 16 iters, t-(init.)=1.93823 s
    t(norm)=0.304786, mflops=16.405 (err=7.3e-15)

FFTW_MEASURE plan: (cost = 3.286900e-02)
FFTW_TWIDDLE 8
FFTW_TWIDDLE 9
FFTW_TWIDDLE 5
FFTW_TWIDDLE 5
FFTW_NOTW 15

3. FFTW: elapsed time t=1.43042 s, 32 iters, t-(init.)=1.33099 s
    t(norm)=0.104649, mflops=47.779 (err=7.3e-15)

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

4. FFTW_ESTIMATE: elapsed time t=1.39044 s, 32 iters, t-(init.)=1.29069 s
    t(norm)=0.10148, mflops=49.2707 (err=7.3e-15)
5. Frigo-old: elapsed time t=1.27426 s, 8 iters, t-(init.)=1.24462 s
    t(norm)=0.391431, mflops=12.7737 (err=7.3e-15)
6. GSL: elapsed time t=1.54605 s, 16 iters, t-(init.)=1.49293 s
    t(norm)=0.234763, mflops=21.2981 (err=7.3e-15)
7. NAPACK (f2c): elapsed time t=1.30687 s, 4 iters, t-(init.)=1.28818 s
    t(norm)=0.81026, mflops=6.17086 (err=1.0e-12)
8. Nielsen: elapsed time t=1.73804 s, 16 iters, t-(init.)=1.68461 s
    t(norm)=0.264904, mflops=18.8748 (err=2.0e-13)
9. Singleton (f2c): elapsed time t=1.93099 s, 32 iters, t-(init.)=1.8388 s
    t(norm)=0.144575, mflops=34.5841 (err=1.1e-14)
10. Temperton (f2c): elapsed time t=1.63073 s, 16 iters, 
t-(init.)=1.58433 s
    t(norm)=0.249135, mflops=20.0694 (err=7.3e-15)
11. Valkenburg: elapsed time t=1.52557 s, 4 iters, t-(init.)=1.50676 s
    t(norm)=0.947745, mflops=5.27568 (err=7.3e-15)

Top mflops for N=27000 = 90.4887
Normalized results and averages for N=27000:
  fft 0: mflops = 90.4887 (norm. = 1), norm. avg. (of 16) = 0.63664
  fft 1: mflops = 90.4255 (norm. = 0.999303), norm. avg. (of 16) = 
0.668657
  fft 2: mflops = 16.405 (norm. = 0.181293), norm. avg. (of 16) = 0.161172
  fft 3: mflops = 47.779 (norm. = 0.528011), norm. avg. (of 16) = 0.841879
  fft 4: mflops = 49.2707 (norm. = 0.544496), norm. avg. (of 16) = 
0.832256
  fft 5: mflops = 12.7737 (norm. = 0.141163), norm. avg. (of 16) = 
0.167515
  fft 6: mflops = 21.2981 (norm. = 0.235367), norm. avg. (of 16) = 
0.284515
  fft 7: mflops = 6.17086 (norm. = 0.0681948), norm. avg. (of 16) = 
0.0667636
  fft 8: mflops = 18.8748 (norm. = 0.208587), norm. avg. (of 16) = 
0.130021
  fft 9: mflops = 34.5841 (norm. = 0.382193), norm. avg. (of 16) = 
0.384762
  fft 10: mflops = 20.0694 (norm. = 0.22179), norm. avg. (of 12) = 
0.126466
  fft 11: mflops = 5.27568 (norm. = 0.0583021), norm. avg. (of 16) = 
0.0521494

Benchmarking for array size = 75600:
0. CWP (min N) (N=80080): elapsed time t=1.97326 s, 16 iters, 
t-(init.)=1.69711 s
    t(norm)=0.0865745, mflops=57.7537
1. CWP (best N) (N=80080): elapsed time t=1.97363 s, 16 iters, 
t-(init.)=1.69728 s
    t(norm)=0.0865829, mflops=57.7481
2. FFTPACK (f2c): elapsed time t=1.20925 s, 2 iters, t-(init.)=1.16657 s
    t(norm)=0.476082, mflops=10.5024 (err=9.4e-15)

FFTW_MEASURE plan: (cost = 1.610780e-01)
FFTW_TWIDDLE 16
FFTW_TWIDDLE 9
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_NOTW 15

3. FFTW: elapsed time t=1.27796 s, 8 iters, t-(init.)=1.14921 s
    t(norm)=0.117249, mflops=42.6443 (err=9.4e-15)

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

4. FFTW_ESTIMATE: elapsed time t=1.33175 s, 8 iters, t-(init.)=1.20298 s
    t(norm)=0.122735, mflops=40.7383 (err=9.4e-15)
5. Frigo-old: elapsed time t=1.11714 s, 2 iters, t-(init.)=1.07457 s
    t(norm)=0.438537, mflops=11.4015 (err=9.4e-15)
6. GSL: elapsed time t=1.58177 s, 4 iters, t-(init.)=1.51009 s
    t(norm)=0.308137, mflops=16.2266 (err=9.4e-15)
7. NAPACK (f2c): elapsed time t=1.05903 s, 1 iters, t-(init.)=1.02994 s
    t(norm)=0.84064, mflops=5.94785 (err=5.1e-12)
8. Nielsen: elapsed time t=1.6995 s, 4 iters, t-(init.)=1.62744 s
    t(norm)=0.332081, mflops=15.0566 (err=4.7e-13)
9. Singleton (f2c): elapsed time t=1.13616 s, 4 iters, t-(init.)=1.08125 s
    t(norm)=0.220631, mflops=22.6622 (err=1.3e-14)
10. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
11. Valkenburg: elapsed time t=1.3767 s, 1 iters, t-(init.)=1.34799 s
    t(norm)=1.10024, mflops=4.54447 (err=9.5e-15)

Top mflops for N=75600 = 57.7537
Normalized results and averages for N=75600:
  fft 0: mflops = 57.7537 (norm. = 1), norm. avg. (of 17) = 0.658014
  fft 1: mflops = 57.7481 (norm. = 0.999903), norm. avg. (of 17) = 
0.688142
  fft 2: mflops = 10.5024 (norm. = 0.181848), norm. avg. (of 17) = 
0.162388
  fft 3: mflops = 42.6443 (norm. = 0.738382), norm. avg. (of 17) = 
0.835791
  fft 4: mflops = 40.7383 (norm. = 0.70538), norm. avg. (of 17) = 0.824793
  fft 5: mflops = 11.4015 (norm. = 0.197417), norm. avg. (of 17) = 
0.169274
  fft 6: mflops = 16.2266 (norm. = 0.280961), norm. avg. (of 17) = 
0.284306
  fft 7: mflops = 5.94785 (norm. = 0.102986), norm. avg. (of 17) = 
0.0688943
  fft 8: mflops = 15.0566 (norm. = 0.260703), norm. avg. (of 17) = 
0.137708
  fft 9: mflops = 22.6622 (norm. = 0.392394), norm. avg. (of 17) = 
0.385211
  fft 10: mflops = -1 (norm. = -0.0173149), norm. avg. (of 12) = 0.126466
  fft 11: mflops = 4.54447 (norm. = 0.078687), norm. avg. (of 17) = 
0.0537105

Benchmarking for array size = 165375:
0. CWP (min N) (N=180180): elapsed time t=1.01385 s, 2 iters, 
t-(init.)=0.880889 s
    t(norm)=0.153634, mflops=32.5448
1. CWP (best N) (N=180180): elapsed time t=1.01347 s, 2 iters, 
t-(init.)=0.880721 s
    t(norm)=0.153605, mflops=32.551
2. FFTPACK (f2c): elapsed time t=2.32329 s, 1 iters, t-(init.)=2.25998 s
    t(norm)=0.788318, mflops=6.34262 (err=3.7e-14)

FFTW_MEASURE plan: (cost = 4.480230e-01)
FFTW_TWIDDLE 9
FFTW_TWIDDLE 5
FFTW_TWIDDLE 7
FFTW_TWIDDLE 7
FFTW_TWIDDLE 5
FFTW_NOTW 15

3. FFTW: elapsed time t=1.83419 s, 4 iters, t-(init.)=1.58053 s
    t(norm)=0.137828, mflops=36.277 (err=3.7e-14)

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

4. FFTW_ESTIMATE: elapsed time t=1.90579 s, 4 iters, t-(init.)=1.65216 s
    t(norm)=0.144075, mflops=34.7041 (err=3.7e-14)
5. Frigo-old: elapsed time t=1.92967 s, 1 iters, t-(init.)=1.86647 s
    t(norm)=0.651055, mflops=7.67984 (err=3.7e-14)
6. GSL: elapsed time t=1.8497 s, 2 iters, t-(init.)=1.723 s
    t(norm)=0.300506, mflops=16.6386 (err=3.7e-14)
7. NAPACK (f2c): elapsed time t=2.92377 s, 1 iters, t-(init.)=2.86047 s
    t(norm)=0.997778, mflops=5.01113 (err=1.6e-11)
8. Nielsen: elapsed time t=1.36593 s, 1 iters, t-(init.)=1.3027 s
    t(norm)=0.454404, mflops=11.0034 (err=1.6e-12)
9. Singleton (f2c): elapsed time t=1.14869 s, 1 iters, t-(init.)=1.09895 s
    t(norm)=0.383333, mflops=13.0435 (err=5.6e-14)
10. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
11. Valkenburg: elapsed time t=3.15569 s, 1 iters, t-(init.)=3.09246 s
    t(norm)=1.0787, mflops=4.6352 (err=3.6e-14)

Top mflops for N=165375 = 36.277
Normalized results and averages for N=165375:
  fft 0: mflops = 32.5448 (norm. = 0.897121), norm. avg. (of 18) = 
0.671298
  fft 1: mflops = 32.551 (norm. = 0.897292), norm. avg. (of 18) = 0.699761
  fft 2: mflops = 6.34262 (norm. = 0.174839), norm. avg. (of 18) = 0.16308
  fft 3: mflops = 36.277 (norm. = 1), norm. avg. (of 18) = 0.844914
  fft 4: mflops = 34.7041 (norm. = 0.956642), norm. avg. (of 18) = 
0.832118
  fft 5: mflops = 7.67984 (norm. = 0.2117), norm. avg. (of 18) = 0.171631
  fft 6: mflops = 16.6386 (norm. = 0.458655), norm. avg. (of 18) = 
0.293992
  fft 7: mflops = 5.01113 (norm. = 0.138135), norm. avg. (of 18) = 
0.0727411
  fft 8: mflops = 11.0034 (norm. = 0.303317), norm. avg. (of 18) = 
0.146908
  fft 9: mflops = 13.0435 (norm. = 0.359553), norm. avg. (of 18) = 
0.383786
  fft 10: mflops = -1 (norm. = -0.0275657), norm. avg. (of 12) = 0.126466
  fft 11: mflops = 4.6352 (norm. = 0.127773), norm. avg. (of 18) = 
0.057825

Benchmarking for array size = 362880:
0. CWP (min N) (N=720720): elapsed time t=2.27546 s, 1 iters, 
t-(init.)=1.99883 s
    t(norm)=0.29824, mflops=16.765
1. CWP (best N) (N=720720): elapsed time t=2.2758 s, 1 iters, 
t-(init.)=1.99918 s
    t(norm)=0.298293, mflops=16.7621
2. FFTPACK (f2c): elapsed time t=4.03588 s, 1 iters, t-(init.)=3.89657 s
    t(norm)=0.581398, mflops=8.59997 (err=7.1e-14)

FFTW_MEASURE plan: (cost = 9.044400e-01)
FFTW_TWIDDLE 64
FFTW_TWIDDLE 10
FFTW_TWIDDLE 7
FFTW_TWIDDLE 9
FFTW_NOTW 9

3. FFTW: elapsed time t=1.84251 s, 2 iters, t-(init.)=1.56415 s
    t(norm)=0.116691, mflops=42.8482 (err=7.1e-14)

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

4. FFTW_ESTIMATE: elapsed time t=1.06811 s, 1 iters, t-(init.)=0.928895 s
    t(norm)=0.138598, mflops=36.0755 (err=7.1e-14)
5. Frigo-old: elapsed time t=3.65395 s, 1 iters, t-(init.)=3.51483 s
    t(norm)=0.524438, mflops=9.53401 (err=7.1e-14)
6. GSL: elapsed time t=2.02348 s, 1 iters, t-(init.)=1.88441 s
    t(norm)=0.281167, mflops=17.783 (err=7.1e-14)
7. NAPACK (f2c): elapsed time t=6.49021 s, 1 iters, t-(init.)=6.35111 s
    t(norm)=0.947632, mflops=5.27631 (err=3.4e-11)
8. Nielsen: elapsed time t=3.99117 s, 1 iters, t-(init.)=3.85169 s
    t(norm)=0.574702, mflops=8.70017 (err=3.5e-12)
9. Singleton (f2c): elapsed time t=3.4112 s, 1 iters, t-(init.)=3.28899 s
    t(norm)=0.490741, mflops=10.1887 (err=1.0e-13)
10. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).
11. Valkenburg: elapsed time t=9.08378 s, 1 iters, t-(init.)=8.94461 s
    t(norm)=1.3346, mflops=3.74644 (err=7.1e-14)

Top mflops for N=362880 = 42.8482
Normalized results and averages for N=362880:
  fft 0: mflops = 16.765 (norm. = 0.391266), norm. avg. (of 19) = 0.656559
  fft 1: mflops = 16.7621 (norm. = 0.391197), norm. avg. (of 19) = 
0.683521
  fft 2: mflops = 8.59997 (norm. = 0.200708), norm. avg. (of 19) = 0.16506
  fft 3: mflops = 42.8482 (norm. = 1), norm. avg. (of 19) = 0.853077
  fft 4: mflops = 36.0755 (norm. = 0.841939), norm. avg. (of 19) = 
0.832635
  fft 5: mflops = 9.53401 (norm. = 0.222507), norm. avg. (of 19) = 
0.174309
  fft 6: mflops = 17.783 (norm. = 0.415024), norm. avg. (of 19) = 0.300362
  fft 7: mflops = 5.27631 (norm. = 0.12314), norm. avg. (of 19) = 
0.0753936
  fft 8: mflops = 8.70017 (norm. = 0.203046), norm. avg. (of 19) = 
0.149863
  fft 9: mflops = 10.1887 (norm. = 0.237785), norm. avg. (of 19) = 
0.376101
  fft 10: mflops = -1 (norm. = -0.0233382), norm. avg. (of 12) = 0.126466
  fft 11: mflops = 3.74644 (norm. = 0.0874351), norm. avg. (of 19) = 
0.0593834

------------------------------------------------------
@@@@ 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)
Maximum array size N = 4194304

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


Computing normalized averages (6 transforms).

Benchmarking for array size = 4x4x4 (power of 2):
0. FFTW: elapsed time t=1.20295 s, 131072 iters, t-(init.)=1.08523 s
    t(norm)=0.0215615, mflops=231.895 (err=1.9e-16)
1. Skipping fft (all dimensions must be > 4 for HARM).
2. NR (C): elapsed time t=1.62216 s, 65536 iters, t-(init.)=1.56323 s
    t(norm)=0.0621172, mflops=80.493 (err=2.3e-16)
3. PDA (f2c): elapsed time t=1.32547 s, 8192 iters, t-(init.)=1.31798 s
    t(norm)=0.418976, mflops=11.9339 (err=2.8e-16)
4. Singleton (f2c): elapsed time t=1.76875 s, 131072 iters, 
t-(init.)=1.65104 s
    t(norm)=0.0328033, mflops=152.424 (err=1.9e-16)
5. Temperton (f2c): elapsed time t=1.82915 s, 32768 iters, 
t-(init.)=1.7997 s
    t(norm)=0.143027, mflops=34.9584 (err=1.9e-16)

Top mflops for N=64 = 231.895
Normalized results and averages for N=64:
  fft 0: mflops = 231.895 (norm. = 1), norm. avg. (of 1) = 1
  fft 1: mflops = -1 (norm. = -0.0043123), norm. avg. (of 0) = -1
  fft 2: mflops = 80.493 (norm. = 0.34711), norm. avg. (of 1) = 0.34711
  fft 3: mflops = 11.9339 (norm. = 0.0514625), norm. avg. (of 1) = 
0.0514625
  fft 4: mflops = 152.424 (norm. = 0.657298), norm. avg. (of 1) = 0.657298
  fft 5: mflops = 34.9584 (norm. = 0.150751), norm. avg. (of 1) = 0.150751

Benchmarking for array size = 8x8x8 (power of 2):
0. FFTW: elapsed time t=1.47921 s, 16384 iters, t-(init.)=1.36582 s
    t(norm)=0.018091, mflops=276.381 (err=3.8e-16)
1. HARM (f2c): elapsed time t=1.21052 s, 2048 iters, t-(init.)=1.19626 s
    t(norm)=0.12676, mflops=39.4445 (err=3.6e-16)
2. NR (C): elapsed time t=1.7804 s, 8192 iters, t-(init.)=1.72367 s
    t(norm)=0.0456618, mflops=109.501 (err=2.9e-16)
3. PDA (f2c): elapsed time t=1.11004 s, 1024 iters, t-(init.)=1.10284 s
    t(norm)=0.233722, mflops=21.3929 (err=3.1e-16)
4. Singleton (f2c): elapsed time t=1.46191 s, 8192 iters, 
t-(init.)=1.40513 s
    t(norm)=0.0372233, mflops=134.324 (err=3.1e-16)
5. Temperton (f2c): elapsed time t=1.27305 s, 2048 iters, 
t-(init.)=1.2588 s
    t(norm)=0.133387, mflops=37.4849 (err=3.7e-16)

Top mflops for N=512 = 276.381
Normalized results and averages for N=512:
  fft 0: mflops = 276.381 (norm. = 1), norm. avg. (of 2) = 1
  fft 1: mflops = 39.4445 (norm. = 0.142718), norm. avg. (of 1) = 0.142718
  fft 2: mflops = 109.501 (norm. = 0.396195), norm. avg. (of 2) = 0.371653
  fft 3: mflops = 21.3929 (norm. = 0.0774038), norm. avg. (of 2) = 
0.0644331
  fft 4: mflops = 134.324 (norm. = 0.486011), norm. avg. (of 2) = 0.571655
  fft 5: mflops = 37.4849 (norm. = 0.135628), norm. avg. (of 2) = 0.14319

Benchmarking for array size = 16x16x16 (power of 2):
0. FFTW: elapsed time t=1.58156 s, 512 iters, t-(init.)=1.35976 s
    t(norm)=0.0540319, mflops=92.5379 (err=4.1e-16)
1. HARM (f2c): elapsed time t=1.96523 s, 256 iters, t-(init.)=1.85426 s
    t(norm)=0.147363, mflops=33.9298 (err=4.0e-16)
2. NR (C): elapsed time t=1.54763 s, 128 iters, t-(init.)=1.49221 s
    t(norm)=0.23718, mflops=21.081 (err=4.7e-16)
3. PDA (f2c): elapsed time t=1.41383 s, 128 iters, t-(init.)=1.3583 s
    t(norm)=0.215895, mflops=23.1594 (err=3.8e-16)
4. Singleton (f2c): elapsed time t=1.79099 s, 256 iters, 
t-(init.)=1.67991 s
    t(norm)=0.133507, mflops=37.4511 (err=4.7e-16)
5. Temperton (f2c): elapsed time t=1.96155 s, 256 iters, 
t-(init.)=1.85054 s
    t(norm)=0.147068, mflops=33.9979 (err=4.1e-16)

Top mflops for N=4096 = 92.5379
Normalized results and averages for N=4096:
  fft 0: mflops = 92.5379 (norm. = 1), norm. avg. (of 3) = 1
  fft 1: mflops = 33.9298 (norm. = 0.366658), norm. avg. (of 2) = 0.254688
  fft 2: mflops = 21.081 (norm. = 0.22781), norm. avg. (of 3) = 0.323705
  fft 3: mflops = 23.1594 (norm. = 0.250269), norm. avg. (of 3) = 0.126378
  fft 4: mflops = 37.4511 (norm. = 0.404711), norm. avg. (of 3) = 0.516007
  fft 5: mflops = 33.9979 (norm. = 0.367395), norm. avg. (of 3) = 0.217925

Benchmarking for array size = 32x32x32 (power of 2):
0. FFTW: elapsed time t=1.64759 s, 64 iters, t-(init.)=1.42373 s
    t(norm)=0.0452593, mflops=110.475 (err=4.8e-16)
1. HARM (f2c): elapsed time t=1.2141 s, 16 iters, t-(init.)=1.15752 s
    t(norm)=0.147187, mflops=33.9704 (err=4.8e-16)
2. NR (C): elapsed time t=1.93342 s, 16 iters, t-(init.)=1.87698 s
    t(norm)=0.23867, mflops=20.9494 (err=6.0e-16)
3. PDA (f2c): elapsed time t=1.77189 s, 16 iters, t-(init.)=1.71566 s
    t(norm)=0.218158, mflops=22.9192 (err=4.5e-16)
4. Singleton (f2c): elapsed time t=1.24763 s, 16 iters, t-(init.)=1.19104 
s
    t(norm)=0.151448, mflops=33.0146 (err=4.9e-16)
5. Temperton (f2c): elapsed time t=1.40377 s, 16 iters, t-(init.)=1.34697 
s
    t(norm)=0.171276, mflops=29.1926 (err=5.1e-16)

Top mflops for N=32768 = 110.475
Normalized results and averages for N=32768:
  fft 0: mflops = 110.475 (norm. = 1), norm. avg. (of 4) = 1
  fft 1: mflops = 33.9704 (norm. = 0.307495), norm. avg. (of 3) = 0.272291
  fft 2: mflops = 20.9494 (norm. = 0.189631), norm. avg. (of 4) = 0.290187
  fft 3: mflops = 22.9192 (norm. = 0.207461), norm. avg. (of 4) = 0.146649
  fft 4: mflops = 33.0146 (norm. = 0.298843), norm. avg. (of 4) = 0.461716
  fft 5: mflops = 29.1926 (norm. = 0.264247), norm. avg. (of 4) = 0.229505

Benchmarking for array size = 64x64x64 (power of 2):
0. FFTW: elapsed time t=1.4494 s, 2 iters, t-(init.)=1.24848 s
    t(norm)=0.132293, mflops=37.7948 (err=1.0e-15)
1. HARM (f2c): elapsed time t=1.27654 s, 1 iters, t-(init.)=1.1759 s
    t(norm)=0.249205, mflops=20.0638 (err=1.0e-15)
2. NR (C): elapsed time t=4.03301 s, 1 iters, t-(init.)=3.93233 s
    t(norm)=0.83337, mflops=5.99974 (err=1.0e-15)
3. PDA (f2c): elapsed time t=2.15248 s, 1 iters, t-(init.)=2.05206 s
    t(norm)=0.434889, mflops=11.4972 (err=1.0e-15)
4. Singleton (f2c): elapsed time t=2.15278 s, 1 iters, t-(init.)=2.05215 s
    t(norm)=0.434907, mflops=11.4967 (err=1.4e-15)
5. Temperton (f2c): elapsed time t=1.33861 s, 1 iters, t-(init.)=1.23801 s
    t(norm)=0.262367, mflops=19.0572 (err=9.9e-16)

Top mflops for N=262144 = 37.7948
Normalized results and averages for N=262144:
  fft 0: mflops = 37.7948 (norm. = 1), norm. avg. (of 5) = 1
  fft 1: mflops = 20.0638 (norm. = 0.530862), norm. avg. (of 4) = 0.336933
  fft 2: mflops = 5.99974 (norm. = 0.158745), norm. avg. (of 5) = 0.263898
  fft 3: mflops = 11.4972 (norm. = 0.304201), norm. avg. (of 5) = 0.178159
  fft 4: mflops = 11.4967 (norm. = 0.304188), norm. avg. (of 5) = 0.430211
  fft 5: mflops = 19.0572 (norm. = 0.50423), norm. avg. (of 5) = 0.28445

Benchmarking for array size = 256x64x32 (power of 2):
0. FFTW: elapsed time t=1.48964 s, 1 iters, t-(init.)=1.28861 s
    t(norm)=0.129359, mflops=38.6521 (err=9.2e-16)
1. HARM (f2c): elapsed time t=2.79 s, 1 iters, t-(init.)=2.58874 s
    t(norm)=0.259876, mflops=19.24 (err=9.4e-16)
2. NR (C): elapsed time t=8.47126 s, 1 iters, t-(init.)=8.26998 s
    t(norm)=0.830197, mflops=6.02267 (err=9.6e-16)
3. PDA (f2c): elapsed time t=3.79129 s, 1 iters, t-(init.)=3.59024 s
    t(norm)=0.360412, mflops=13.873 (err=8.8e-16)
4. Singleton (f2c): elapsed time t=4.74386 s, 1 iters, t-(init.)=4.54262 s
    t(norm)=0.456019, mflops=10.9645 (err=1.3e-15)
5. Temperton (f2c): elapsed time t=3.27994 s, 1 iters, t-(init.)=3.07857 s
    t(norm)=0.309047, mflops=16.1788 (err=9.2e-16)

Top mflops for N=524288 = 38.6521
Normalized results and averages for N=524288:
  fft 0: mflops = 38.6521 (norm. = 1), norm. avg. (of 6) = 1
  fft 1: mflops = 19.24 (norm. = 0.497774), norm. avg. (of 5) = 0.369101
  fft 2: mflops = 6.02267 (norm. = 0.155817), norm. avg. (of 6) = 0.245885
  fft 3: mflops = 13.873 (norm. = 0.35892), norm. avg. (of 6) = 0.208286
  fft 4: mflops = 10.9645 (norm. = 0.283671), norm. avg. (of 6) = 0.405787
  fft 5: mflops = 16.1788 (norm. = 0.418574), norm. avg. (of 6) = 0.306804

Benchmarking for array size = 16x1024x64 (power of 2):
0. FFTW: elapsed time t=3.18217 s, 1 iters, t-(init.)=2.78006 s
    t(norm)=0.132563, mflops=37.7178 (err=1.2e-15)
1. HARM (f2c): elapsed time t=5.71683 s, 1 iters, t-(init.)=5.31435 s
    t(norm)=0.253408, mflops=19.731 (err=1.2e-15)
2. NR (C): elapsed time t=17.9175 s, 1 iters, t-(init.)=17.5153 s
    t(norm)=0.835195, mflops=5.98662 (err=1.3e-15)
3. PDA (f2c): elapsed time t=9.27486 s, 1 iters, t-(init.)=8.87275 s
    t(norm)=0.423085, mflops=11.8179 (err=1.2e-15)
4. Singleton (f2c): elapsed time t=9.6234 s, 1 iters, t-(init.)=9.2211 s
    t(norm)=0.439697, mflops=11.3715 (err=1.7e-15)
5. Skipping fft (Temperton can't handle dimensions > 256).

Top mflops for N=1048576 = 37.7178
Normalized results and averages for N=1048576:
  fft 0: mflops = 37.7178 (norm. = 1), norm. avg. (of 7) = 1
  fft 1: mflops = 19.731 (norm. = 0.523123), norm. avg. (of 6) = 0.394772
  fft 2: mflops = 5.98662 (norm. = 0.158722), norm. avg. (of 7) = 0.233433
  fft 3: mflops = 11.8179 (norm. = 0.313326), norm. avg. (of 7) = 0.223292
  fft 4: mflops = 11.3715 (norm. = 0.301489), norm. avg. (of 7) = 0.390887
  fft 5: mflops = -1 (norm. = -0.0265127), norm. avg. (of 6) = 0.306804

Benchmarking for array size = 128x128x128 (power of 2):
0. FFTW: elapsed time t=6.20177 s, 1 iters, t-(init.)=5.39717 s
    t(norm)=0.122551, mflops=40.7994 (err=8.1e-16)
1. HARM (f2c): elapsed time t=12.7883 s, 1 iters, t-(init.)=11.9837 s
    t(norm)=0.272108, mflops=18.375 (err=8.0e-16)
2. NR (C): elapsed time t=37.5269 s, 1 iters, t-(init.)=36.7225 s
    t(norm)=0.833842, mflops=5.99634 (err=8.7e-16)
3. PDA (f2c): elapsed time t=17.4164 s, 1 iters, t-(init.)=16.6116 s
    t(norm)=0.377191, mflops=13.2559 (err=7.8e-16)
4. Singleton (f2c): elapsed time t=27.8769 s, 1 iters, t-(init.)=27.0724 s
    t(norm)=0.614721, mflops=8.13377 (err=1.1e-15)
5. Temperton (f2c): elapsed time t=22.1898 s, 1 iters, t-(init.)=21.3852 s
    t(norm)=0.485584, mflops=10.2969 (err=8.1e-16)

Top mflops for N=2097152 = 40.7994
Normalized results and averages for N=2097152:
  fft 0: mflops = 40.7994 (norm. = 1), norm. avg. (of 8) = 1
  fft 1: mflops = 18.375 (norm. = 0.450375), norm. avg. (of 7) = 0.402715
  fft 2: mflops = 5.99634 (norm. = 0.146971), norm. avg. (of 8) = 0.222625
  fft 3: mflops = 13.2559 (norm. = 0.324904), norm. avg. (of 8) = 0.235993
  fft 4: mflops = 8.13377 (norm. = 0.19936), norm. avg. (of 8) = 0.366947
  fft 5: mflops = 10.2969 (norm. = 0.252378), norm. avg. (of 7) = 0.299029

Benchmarking for array size = 512x128x64 (power of 2):
0. FFTW: elapsed time t=12.2494 s, 1 iters, t-(init.)=10.6398 s
    t(norm)=0.115306, mflops=43.3628 (err=1.0e-15)
1. HARM (f2c): elapsed time t=26.1704 s, 1 iters, t-(init.)=24.5614 s
    t(norm)=0.266177, mflops=18.7845 (err=1.0e-15)
2. NR (C): elapsed time t=78.088 s, 1 iters, t-(init.)=76.4792 s
    t(norm)=0.828821, mflops=6.03266 (err=1.0e-15)
3. PDA (f2c): elapsed time t=34.9063 s, 1 iters, t-(init.)=33.2971 s
    t(norm)=0.360848, mflops=13.8563 (err=1.0e-15)
4. Singleton (f2c): elapsed time t=48.4575 s, 1 iters, t-(init.)=46.8479 s
    t(norm)=0.507701, mflops=9.84832 (err=1.4e-15)
5. Skipping fft (Temperton can't handle dimensions > 256).

Top mflops for N=4194304 = 43.3628
Normalized results and averages for N=4194304:
  fft 0: mflops = 43.3628 (norm. = 1), norm. avg. (of 9) = 1
  fft 1: mflops = 18.7845 (norm. = 0.433193), norm. avg. (of 8) = 0.406525
  fft 2: mflops = 6.03266 (norm. = 0.139121), norm. avg. (of 9) = 0.213347
  fft 3: mflops = 13.8563 (norm. = 0.319542), norm. avg. (of 9) = 0.245276
  fft 4: mflops = 9.84832 (norm. = 0.227114), norm. avg. (of 9) = 0.35141
  fft 5: mflops = -1 (norm. = -0.0230612), norm. avg. (of 7) = 0.299029

------------------------------------------------------
@@@@ 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)
Maximum array size N = 5832000

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=1.84977 s, 65536 iters, t-(init.)=1.73724 s
    t(norm)=0.0304439, mflops=164.237 (err=2.4e-16)
1. PDA (f2c): elapsed time t=1.24003 s, 4096 iters, t-(init.)=1.23292 s
    t(norm)=0.345697, mflops=14.4635 (err=2.1e-16)
2. Singleton (f2c): elapsed time t=1.46861 s, 65536 iters, 
t-(init.)=1.35604 s
    t(norm)=0.0237636, mflops=210.406 (err=3.1e-16)
3. Temperton (f2c): elapsed time t=1.05609 s, 8192 iters, 
t-(init.)=1.04203 s
    t(norm)=0.146087, mflops=34.2262 (err=2.4e-16)

Top mflops for N=125 = 210.406
Normalized results and averages for N=125:
  fft 0: mflops = 164.237 (norm. = 0.780572), norm. avg. (of 1) = 0.780572
  fft 1: mflops = 14.4635 (norm. = 0.0687413), norm. avg. (of 1) = 
0.0687413
  fft 2: mflops = 210.406 (norm. = 1), norm. avg. (of 1) = 1
  fft 3: mflops = 34.2262 (norm. = 0.162668), norm. avg. (of 1) = 0.162668

Benchmarking for array size = 6x6x6:
0. FFTW: elapsed time t=1.34075 s, 32768 iters, t-(init.)=1.24432 s
    t(norm)=0.0226701, mflops=220.555 (err=3.0e-16)
1. PDA (f2c): elapsed time t=1.07173 s, 2048 iters, t-(init.)=1.06574 s
    t(norm)=0.310666, mflops=16.0945 (err=3.7e-16)
2. Singleton (f2c): elapsed time t=1.25263 s, 16384 iters, 
t-(init.)=1.20441 s
    t(norm)=0.0438858, mflops=113.932 (err=3.1e-16)
3. Temperton (f2c): elapsed time t=1.13034 s, 4096 iters, 
t-(init.)=1.11823 s
    t(norm)=0.162983, mflops=30.678 (err=3.2e-16)

Top mflops for N=216 = 220.555
Normalized results and averages for N=216:
  fft 0: mflops = 220.555 (norm. = 1), norm. avg. (of 2) = 0.890286
  fft 1: mflops = 16.0945 (norm. = 0.0729726), norm. avg. (of 2) = 
0.0708569
  fft 2: mflops = 113.932 (norm. = 0.51657), norm. avg. (of 2) = 0.758285
  fft 3: mflops = 30.678 (norm. = 0.139095), norm. avg. (of 2) = 0.150881

Benchmarking for array size = 7x7x7:
0. FFTW: elapsed time t=1.58631 s, 16384 iters, t-(init.)=1.51017 s
    t(norm)=0.0319075, mflops=156.703 (err=4.0e-16)
1. PDA (f2c): elapsed time t=1.69584 s, 1024 iters, t-(init.)=1.69088 s
    t(norm)=0.571609, mflops=8.74723 (err=4.0e-16)
2. Singleton (f2c): elapsed time t=1.21663 s, 8192 iters, 
t-(init.)=1.17852 s
    t(norm)=0.0498004, mflops=100.401 (err=4.9e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=343 = 156.703
Normalized results and averages for N=343:
  fft 0: mflops = 156.703 (norm. = 1), norm. avg. (of 3) = 0.926857
  fft 1: mflops = 8.74723 (norm. = 0.0558205), norm. avg. (of 3) = 
0.0658448
  fft 2: mflops = 100.401 (norm. = 0.640708), norm. avg. (of 3) = 0.719093
  fft 3: mflops = -1 (norm. = -0.00638151), norm. avg. (of 2) = 0.150881

Benchmarking for array size = 9x9x9:
0. FFTW: elapsed time t=1.46231 s, 8192 iters, t-(init.)=1.38134 s
    t(norm)=0.0243228, mflops=205.568 (err=5.4e-16)
1. PDA (f2c): elapsed time t=1.71207 s, 1024 iters, t-(init.)=1.7019 s
    t(norm)=0.239738, mflops=20.8561 (err=5.2e-16)
2. Singleton (f2c): elapsed time t=1.01134 s, 4096 iters, 
t-(init.)=0.970995 s
    t(norm)=0.0341947, mflops=146.221 (err=4.9e-16)
3. Temperton (f2c): elapsed time t=1.90767 s, 2048 iters, 
t-(init.)=1.88748 s
    t(norm)=0.132939, mflops=37.6111 (err=5.8e-16)

Top mflops for N=729 = 205.568
Normalized results and averages for N=729:
  fft 0: mflops = 205.568 (norm. = 1), norm. avg. (of 4) = 0.945143
  fft 1: mflops = 20.8561 (norm. = 0.101456), norm. avg. (of 4) = 
0.0747476
  fft 2: mflops = 146.221 (norm. = 0.711303), norm. avg. (of 4) = 0.717145
  fft 3: mflops = 37.6111 (norm. = 0.182962), norm. avg. (of 3) = 0.161575

Benchmarking for array size = 10x10x10:
0. FFTW: elapsed time t=1.91423 s, 8192 iters, t-(init.)=1.80375 s
    t(norm)=0.022094, mflops=226.306 (err=3.8e-16)
1. PDA (f2c): elapsed time t=1.08545 s, 512 iters, t-(init.)=1.07832 s
    t(norm)=0.211332, mflops=23.6594 (err=4.2e-16)
2. Singleton (f2c): elapsed time t=1.47443 s, 4096 iters, 
t-(init.)=1.41896 s
    t(norm)=0.0347616, mflops=143.837 (err=4.4e-16)
3. Temperton (f2c): elapsed time t=1.48558 s, 1024 iters, 
t-(init.)=1.47171 s
    t(norm)=0.144215, mflops=34.6705 (err=3.6e-16)

Top mflops for N=1000 = 226.306
Normalized results and averages for N=1000:
  fft 0: mflops = 226.306 (norm. = 1), norm. avg. (of 5) = 0.956114
  fft 1: mflops = 23.6594 (norm. = 0.104546), norm. avg. (of 5) = 
0.0807073
  fft 2: mflops = 143.837 (norm. = 0.635586), norm. avg. (of 5) = 0.700834
  fft 3: mflops = 34.6705 (norm. = 0.153202), norm. avg. (of 4) = 0.159481

Benchmarking for array size = 11x11x11:
0. FFTW: elapsed time t=1.19977 s, 2048 iters, t-(init.)=1.16284 s
    t(norm)=0.0411043, mflops=121.642 (err=4.0e-16)
1. PDA (f2c): elapsed time t=1.0167 s, 128 iters, t-(init.)=1.0144 s
    t(norm)=0.573713, mflops=8.71517 (err=4.8e-16)
2. Singleton (f2c): elapsed time t=1.53143 s, 2048 iters, 
t-(init.)=1.49451 s
    t(norm)=0.0528279, mflops=94.6469 (err=6.4e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=1331 = 121.642
Normalized results and averages for N=1331:
  fft 0: mflops = 121.642 (norm. = 1), norm. avg. (of 6) = 0.963429
  fft 1: mflops = 8.71517 (norm. = 0.0716461), norm. avg. (of 6) = 
0.0791971
  fft 2: mflops = 94.6469 (norm. = 0.778079), norm. avg. (of 6) = 0.713708
  fft 3: mflops = -1 (norm. = -0.00822086), norm. avg. (of 4) = 0.159481

Benchmarking for array size = 12x12x12:
0. FFTW: elapsed time t=1.42322 s, 4096 iters, t-(init.)=1.32628 s
    t(norm)=0.0174231, mflops=286.976 (err=3.8e-16)
1. PDA (f2c): elapsed time t=1.88947 s, 512 iters, t-(init.)=1.87733 s
    t(norm)=0.197297, mflops=25.3425 (err=3.8e-16)
2. Singleton (f2c): elapsed time t=1.39612 s, 2048 iters, 
t-(init.)=1.34793 s
    t(norm)=0.035415, mflops=141.183 (err=4.0e-16)
3. Temperton (f2c): elapsed time t=1.03984 s, 512 iters, 
t-(init.)=1.02768 s
    t(norm)=0.108004, mflops=46.2948 (err=3.8e-16)

Top mflops for N=1728 = 286.976
Normalized results and averages for N=1728:
  fft 0: mflops = 286.976 (norm. = 1), norm. avg. (of 7) = 0.968653
  fft 1: mflops = 25.3425 (norm. = 0.0883087), norm. avg. (of 7) = 
0.0804988
  fft 2: mflops = 141.183 (norm. = 0.491968), norm. avg. (of 7) = 0.682031
  fft 3: mflops = 46.2948 (norm. = 0.161319), norm. avg. (of 5) = 0.159849

Benchmarking for array size = 13x13x13:
0. FFTW: elapsed time t=1.73507 s, 1024 iters, t-(init.)=1.63205 s
    t(norm)=0.0653474, mflops=76.5142 (err=4.1e-16)
1. PDA (f2c): elapsed time t=1.91527 s, 128 iters, t-(init.)=1.90182 s
    t(norm)=0.609192, mflops=8.20759 (err=7.2e-16)
2. Singleton (f2c): elapsed time t=1.71903 s, 1024 iters, 
t-(init.)=1.61651 s
    t(norm)=0.0647253, mflops=77.2495 (err=4.3e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=2197 = 77.2495
Normalized results and averages for N=2197:
  fft 0: mflops = 76.5142 (norm. = 0.990481), norm. avg. (of 8) = 0.971382
  fft 1: mflops = 8.20759 (norm. = 0.106248), norm. avg. (of 8) = 
0.0837174
  fft 2: mflops = 77.2495 (norm. = 1), norm. avg. (of 8) = 0.721777
  fft 3: mflops = -1 (norm. = -0.0129451), norm. avg. (of 5) = 0.159849

Benchmarking for array size = 14x14x14:
0. FFTW: elapsed time t=1.70244 s, 1024 iters, t-(init.)=1.4061 s
    t(norm)=0.0438114, mflops=114.126 (err=3.9e-16)
1. PDA (f2c): elapsed time t=1.49238 s, 128 iters, t-(init.)=1.45542 s
    t(norm)=0.362785, mflops=13.7823 (err=3.8e-16)
2. Singleton (f2c): elapsed time t=1.48029 s, 512 iters, 
t-(init.)=1.33199 s
    t(norm)=0.0830044, mflops=60.2377 (err=4.6e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=2744 = 114.126
Normalized results and averages for N=2744:
  fft 0: mflops = 114.126 (norm. = 1), norm. avg. (of 9) = 0.974561
  fft 1: mflops = 13.7823 (norm. = 0.120764), norm. avg. (of 9) = 
0.0878337
  fft 2: mflops = 60.2377 (norm. = 0.52782), norm. avg. (of 9) = 0.700226
  fft 3: mflops = -1 (norm. = -0.00876228), norm. avg. (of 5) = 0.159849

Benchmarking for array size = 15x15x15:
0. FFTW: elapsed time t=1.0214 s, 512 iters, t-(init.)=0.838942 s
    t(norm)=0.0414224, mflops=120.708 (err=4.6e-16)
1. PDA (f2c): elapsed time t=1.02226 s, 128 iters, t-(init.)=0.976663 s
    t(norm)=0.192889, mflops=25.9216 (err=4.5e-16)
2. Singleton (f2c): elapsed time t=1.84906 s, 512 iters, 
t-(init.)=1.66668 s
    t(norm)=0.0822919, mflops=60.7593 (err=4.8e-16)
3. Temperton (f2c): elapsed time t=1.51242 s, 256 iters, 
t-(init.)=1.42106 s
    t(norm)=0.140328, mflops=35.6307 (err=4.6e-16)

Top mflops for N=3375 = 120.708
Normalized results and averages for N=3375:
  fft 0: mflops = 120.708 (norm. = 1), norm. avg. (of 10) = 0.977105
  fft 1: mflops = 25.9216 (norm. = 0.214747), norm. avg. (of 10) = 
0.100525
  fft 2: mflops = 60.7593 (norm. = 0.50336), norm. avg. (of 10) = 0.680539
  fft 3: mflops = 35.6307 (norm. = 0.295182), norm. avg. (of 6) = 0.182405

Benchmarking for array size = 24x25x28:
0. FFTW: elapsed time t=1.71412 s, 128 iters, t-(init.)=1.48664 s
    t(norm)=0.0492537, mflops=101.515 (err=4.7e-16)
1. PDA (f2c): elapsed time t=1.6682 s, 32 iters, t-(init.)=1.61109 s
    t(norm)=0.213507, mflops=23.4185 (err=4.4e-16)
2. Singleton (f2c): elapsed time t=1.12974 s, 32 iters, t-(init.)=1.07233 
s
    t(norm)=0.142109, mflops=35.1844 (err=5.6e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=16800 = 101.515
Normalized results and averages for N=16800:
  fft 0: mflops = 101.515 (norm. = 1), norm. avg. (of 11) = 0.979187
  fft 1: mflops = 23.4185 (norm. = 0.23069), norm. avg. (of 11) = 0.112358
  fft 2: mflops = 35.1844 (norm. = 0.346593), norm. avg. (of 11) = 
0.650181
  fft 3: mflops = -1 (norm. = -0.00985075), norm. avg. (of 6) = 0.182405

Benchmarking for array size = 48x48x48:
0. FFTW: elapsed time t=1.51373 s, 8 iters, t-(init.)=1.22101 s
    t(norm)=0.0823689, mflops=60.7025 (err=7.1e-16)
1. PDA (f2c): elapsed time t=1.79472 s, 4 iters, t-(init.)=1.65603 s
    t(norm)=0.223431, mflops=22.3783 (err=7.1e-16)
2. Singleton (f2c): elapsed time t=1.21631 s, 2 iters, t-(init.)=1.14549 s
    t(norm)=0.309097, mflops=16.1762 (err=8.2e-16)
3. Temperton (f2c): elapsed time t=1.59726 s, 4 iters, t-(init.)=1.45354 s
    t(norm)=0.19611, mflops=25.4958 (err=7.6e-16)

Top mflops for N=110592 = 60.7025
Normalized results and averages for N=110592:
  fft 0: mflops = 60.7025 (norm. = 1), norm. avg. (of 12) = 0.980921
  fft 1: mflops = 22.3783 (norm. = 0.368655), norm. avg. (of 12) = 
0.133716
  fft 2: mflops = 16.1762 (norm. = 0.266483), norm. avg. (of 12) = 
0.618206
  fft 3: mflops = 25.4958 (norm. = 0.420013), norm. avg. (of 7) = 0.216349

Benchmarking for array size = 49x49x49:
0. FFTW: elapsed time t=1.54675 s, 8 iters, t-(init.)=1.21627 s
    t(norm)=0.0767191, mflops=65.1728 (err=8.7e-16)
1. PDA (f2c): elapsed time t=1.54927 s, 2 iters, t-(init.)=1.47372 s
    t(norm)=0.371834, mflops=13.4469 (err=8.8e-16)
2. Singleton (f2c): elapsed time t=1.09756 s, 2 iters, t-(init.)=1.01627 s
    t(norm)=0.256416, mflops=19.4996 (err=1.1e-15)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=117649 = 65.1728
Normalized results and averages for N=117649:
  fft 0: mflops = 65.1728 (norm. = 1), norm. avg. (of 13) = 0.982389
  fft 1: mflops = 13.4469 (norm. = 0.206326), norm. avg. (of 13) = 
0.139302
  fft 2: mflops = 19.4996 (norm. = 0.299198), norm. avg. (of 13) = 
0.593667
  fft 3: mflops = -1 (norm. = -0.0153438), norm. avg. (of 7) = 0.216349

Benchmarking for array size = 60x60x60:
0. FFTW: elapsed time t=1.57316 s, 4 iters, t-(init.)=1.24529 s
    t(norm)=0.0813346, mflops=61.4745 (err=4.9e-16)
1. PDA (f2c): elapsed time t=1.75839 s, 2 iters, t-(init.)=1.59852 s
    t(norm)=0.208811, mflops=23.9451 (err=5.0e-16)
2. Singleton (f2c): elapsed time t=1.95123 s, 1 iters, t-(init.)=1.8774 s
    t(norm)=0.490482, mflops=10.1941 (err=6.0e-16)
3. Temperton (f2c): elapsed time t=1.88478 s, 2 iters, t-(init.)=1.72231 s
    t(norm)=0.224982, mflops=22.224 (err=4.7e-16)

Top mflops for N=216000 = 61.4745
Normalized results and averages for N=216000:
  fft 0: mflops = 61.4745 (norm. = 1), norm. avg. (of 14) = 0.983647
  fft 1: mflops = 23.9451 (norm. = 0.389512), norm. avg. (of 14) = 
0.157174
  fft 2: mflops = 10.1941 (norm. = 0.165826), norm. avg. (of 14) = 
0.563107
  fft 3: mflops = 22.224 (norm. = 0.361516), norm. avg. (of 8) = 0.234494

Benchmarking for array size = 72x60x56:
0. FFTW: elapsed time t=1.80307 s, 4 iters, t-(init.)=1.43185 s
    t(norm)=0.0827365, mflops=60.4328 (err=5.7e-16)
1. PDA (f2c): elapsed time t=1.19281 s, 1 iters, t-(init.)=1.10022 s
    t(norm)=0.254295, mflops=19.6622 (err=6.1e-16)
2. Singleton (f2c): elapsed time t=2.22295 s, 1 iters, t-(init.)=2.13049 s
    t(norm)=0.492425, mflops=10.1538 (err=7.0e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=241920 = 60.4328
Normalized results and averages for N=241920:
  fft 0: mflops = 60.4328 (norm. = 1), norm. avg. (of 15) = 0.984737
  fft 1: mflops = 19.6622 (norm. = 0.325356), norm. avg. (of 15) = 
0.168386
  fft 2: mflops = 10.1538 (norm. = 0.168019), norm. avg. (of 15) = 
0.536767
  fft 3: mflops = -1 (norm. = -0.0165473), norm. avg. (of 8) = 0.234494

Benchmarking for array size = 75x75x75:
0. FFTW: elapsed time t=1.57882 s, 2 iters, t-(init.)=1.25947 s
    t(norm)=0.0798819, mflops=62.5924 (err=9.0e-16)
1. PDA (f2c): elapsed time t=1.77452 s, 1 iters, t-(init.)=1.61611 s
    t(norm)=0.205003, mflops=24.3899 (err=9.5e-16)
2. Singleton (f2c): elapsed time t=3.41143 s, 1 iters, t-(init.)=3.2494 s
    t(norm)=0.412186, mflops=12.1305 (err=1.3e-15)
3. Temperton (f2c): elapsed time t=1.79345 s, 1 iters, t-(init.)=1.63568 s
    t(norm)=0.207485, mflops=24.0981 (err=1.1e-15)

Top mflops for N=421875 = 62.5924
Normalized results and averages for N=421875:
  fft 0: mflops = 62.5924 (norm. = 1), norm. avg. (of 16) = 0.985691
  fft 1: mflops = 24.3899 (norm. = 0.389663), norm. avg. (of 16) = 
0.182216
  fft 2: mflops = 12.1305 (norm. = 0.193801), norm. avg. (of 16) = 
0.515332
  fft 3: mflops = 24.0981 (norm. = 0.385001), norm. avg. (of 9) = 0.251217

Benchmarking for array size = 80x80x80:
0. FFTW: elapsed time t=1.00576 s, 1 iters, t-(init.)=0.812727 s
    t(norm)=0.0836958, mflops=59.7401 (err=1.5e-15)
1. PDA (f2c): elapsed time t=2.26881 s, 1 iters, t-(init.)=2.07841 s
    t(norm)=0.214038, mflops=23.3603 (err=1.5e-15)
2. Singleton (f2c): elapsed time t=4.19287 s, 1 iters, t-(init.)=3.99649 s
    t(norm)=0.411565, mflops=12.1487 (err=2.3e-15)
3. Temperton (f2c): elapsed time t=2.44756 s, 1 iters, t-(init.)=2.2545 s
    t(norm)=0.232172, mflops=21.5358 (err=1.5e-15)

Top mflops for N=512000 = 59.7401
Normalized results and averages for N=512000:
  fft 0: mflops = 59.7401 (norm. = 1), norm. avg. (of 17) = 0.986533
  fft 1: mflops = 23.3603 (norm. = 0.391032), norm. avg. (of 17) = 
0.194499
  fft 2: mflops = 12.1487 (norm. = 0.20336), norm. avg. (of 17) = 0.496981
  fft 3: mflops = 21.5358 (norm. = 0.360491), norm. avg. (of 10) = 
0.262145

Benchmarking for array size = 84x84x84:
0. FFTW: elapsed time t=1.1111 s, 1 iters, t-(init.)=0.883707 s
    t(norm)=0.0777483, mflops=64.3101 (err=7.6e-16)
1. PDA (f2c): elapsed time t=3.307 s, 1 iters, t-(init.)=3.08012 s
    t(norm)=0.270988, mflops=18.451 (err=6.9e-16)
2. Singleton (f2c): elapsed time t=6.06473 s, 1 iters, t-(init.)=5.84643 s
    t(norm)=0.514368, mflops=9.72068 (err=8.6e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=592704 = 64.3101
Normalized results and averages for N=592704:
  fft 0: mflops = 64.3101 (norm. = 1), norm. avg. (of 18) = 0.987281
  fft 1: mflops = 18.451 (norm. = 0.286907), norm. avg. (of 18) = 0.199633
  fft 2: mflops = 9.72068 (norm. = 0.151153), norm. avg. (of 18) = 
0.477768
  fft 3: mflops = -1 (norm. = -0.0155497), norm. avg. (of 10) = 0.262145

Benchmarking for array size = 96x96x96:
0. FFTW: elapsed time t=2.22144 s, 1 iters, t-(init.)=1.88232 s
    t(norm)=0.107697, mflops=46.4265 (err=8.0e-16)
1. PDA (f2c): elapsed time t=5.19328 s, 1 iters, t-(init.)=4.85365 s
    t(norm)=0.277702, mflops=18.0049 (err=7.7e-16)
2. Singleton (f2c): elapsed time t=10.3612 s, 1 iters, t-(init.)=10.024 s
    t(norm)=0.573523, mflops=8.71805 (err=8.2e-16)
3. Temperton (f2c): elapsed time t=5.02604 s, 1 iters, t-(init.)=4.68799 s
    t(norm)=0.268225, mflops=18.6411 (err=8.9e-16)

Top mflops for N=884736 = 46.4265
Normalized results and averages for N=884736:
  fft 0: mflops = 46.4265 (norm. = 1), norm. avg. (of 19) = 0.98795
  fft 1: mflops = 18.0049 (norm. = 0.387815), norm. avg. (of 19) = 
0.209537
  fft 2: mflops = 8.71805 (norm. = 0.187782), norm. avg. (of 19) = 
0.462506
  fft 3: mflops = 18.6411 (norm. = 0.401519), norm. avg. (of 11) = 
0.274815

Benchmarking for array size = 105x105x105:
0. FFTW: elapsed time t=2.20108 s, 1 iters, t-(init.)=1.7581 s
    t(norm)=0.0753976, mflops=66.3151 (err=7.9e-16)
1. PDA (f2c): elapsed time t=6.50414 s, 1 iters, t-(init.)=6.06192 s
    t(norm)=0.25997, mflops=19.233 (err=8.1e-16)
2. Singleton (f2c): elapsed time t=9.87474 s, 1 iters, t-(init.)=9.43345 s
    t(norm)=0.404561, mflops=12.3591 (err=9.7e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=1157625 = 66.3151
Normalized results and averages for N=1157625:
  fft 0: mflops = 66.3151 (norm. = 1), norm. avg. (of 20) = 0.988553
  fft 1: mflops = 19.233 (norm. = 0.290024), norm. avg. (of 20) = 0.213562
  fft 2: mflops = 12.3591 (norm. = 0.186369), norm. avg. (of 20) = 
0.448699
  fft 3: mflops = -1 (norm. = -0.0150795), norm. avg. (of 11) = 0.274815

Benchmarking for array size = 112x112x112:
0. FFTW: elapsed time t=2.83413 s, 1 iters, t-(init.)=2.2956 s
    t(norm)=0.0800096, mflops=62.4925 (err=7.2e-16)
1. PDA (f2c): elapsed time t=8.247 s, 1 iters, t-(init.)=7.70851 s
    t(norm)=0.268669, mflops=18.6103 (err=7.0e-16)
2. Singleton (f2c): elapsed time t=12.2899 s, 1 iters, t-(init.)=11.751 s
    t(norm)=0.409564, mflops=12.2081 (err=6.8e-16)
3. Skipping fft (Temperton only handles N = 2^m 3^n 5^q).

Top mflops for N=1404928 = 62.4925
Normalized results and averages for N=1404928:
  fft 0: mflops = 62.4925 (norm. = 1), norm. avg. (of 21) = 0.989098
  fft 1: mflops = 18.6103 (norm. = 0.2978), norm. avg. (of 21) = 0.217573
  fft 2: mflops = 12.2081 (norm. = 0.195353), norm. avg. (of 21) = 
0.436635
  fft 3: mflops = -1 (norm. = -0.0160019), norm. avg. (of 11) = 0.274815

Benchmarking for array size = 120x120x120:
0. FFTW: elapsed time t=3.55794 s, 1 iters, t-(init.)=2.8949 s
    t(norm)=0.080851, mflops=61.8422 (err=5.9e-16)
1. PDA (f2c): elapsed time t=7.93557 s, 1 iters, t-(init.)=7.27278 s
    t(norm)=0.20312, mflops=24.616 (err=6.2e-16)
2. Singleton (f2c): elapsed time t=24.536 s, 1 iters, t-(init.)=23.8738 s
    t(norm)=0.666766, mflops=7.49889 (err=7.4e-16)
3. Temperton (f2c): elapsed time t=10.2026 s, 1 iters, t-(init.)=9.53969 s
    t(norm)=0.266432, mflops=18.7665 (err=5.7e-16)

Top mflops for N=1728000 = 61.8422
Normalized results and averages for N=1728000:
  fft 0: mflops = 61.8422 (norm. = 1), norm. avg. (of 22) = 0.989593
  fft 1: mflops = 24.616 (norm. = 0.398045), norm. avg. (of 22) = 0.225776
  fft 2: mflops = 7.49889 (norm. = 0.121259), norm. avg. (of 22) = 
0.422299
  fft 3: mflops = 18.7665 (norm. = 0.303458), norm. avg. (of 12) = 
0.277202

Benchmarking for array size = 144x144x144:
0. FFTW: elapsed time t=6.28855 s, 1 iters, t-(init.)=5.14294 s
    t(norm)=0.0800734, mflops=62.4427 (err=1.2e-15)
1. PDA (f2c): elapsed time t=14.7598 s, 1 iters, t-(init.)=13.6142 s
    t(norm)=0.211968, mflops=23.5885 (err=1.1e-15)
2. Singleton (f2c): elapsed time t=36.1841 s, 1 iters, t-(init.)=35.0386 s
    t(norm)=0.545536, mflops=9.16531 (err=1.5e-15)
3. Temperton (f2c): elapsed time t=16.9166 s, 1 iters, t-(init.)=15.7712 s
    t(norm)=0.245551, mflops=20.3623 (err=1.2e-15)

Top mflops for N=2985984 = 62.4427
Normalized results and averages for N=2985984:
  fft 0: mflops = 62.4427 (norm. = 1), norm. avg. (of 23) = 0.990046
  fft 1: mflops = 23.5885 (norm. = 0.377762), norm. avg. (of 23) = 
0.232384
  fft 2: mflops = 9.16531 (norm. = 0.146779), norm. avg. (of 23) = 0.41032
  fft 3: mflops = 20.3623 (norm. = 0.326096), norm. avg. (of 13) = 
0.280963

Benchmarking for array size = 180x180x180:
0. FFTW: elapsed time t=12.5463 s, 1 iters, t-(init.)=10.3087 s
    t(norm)=0.0786459, mflops=63.5761
Found big error at 3212824: 
  (0.375958,0.483562)*1.71468e-07 = (6.44647e-08,8.29152e-08) != 
(6.3e-08,8.2e-08)

Found big error at 4438815: 
  (0.489888,27.966)*1.71468e-07 = (8.4e-08,4.79526e-06) != 
(8.4e-08,4.72e-06)

Found big error at 4438880: 
  (28.641,2.65203)*1.71468e-07 = (4.911e-06,4.54737e-07) != 
(4.911e-06,5.3e-07)

Found big error at 4438901: 
  (17.3152,5.68773)*1.71468e-07 = (2.969e-06,9.75263e-07) != 
(2.969e-06,9e-07)

Found big error at 4438904: 
  (26.0282,12.5139)*1.71468e-07 = (4.463e-06,2.14574e-06) != 
(4.463e-06,2.221e-06)

Found big error at 4439002: 
  (33.0348,21.0948)*1.71468e-07 = (5.6644e-06,3.61709e-06) != 
(5.602e-06,3.575e-06)

Found big error at 4439012: 
  (2.13099,57.9123)*1.71468e-07 = (3.65396e-07,9.93009e-06) != 
(3.03e-07,9.888e-06)

Found big error at 4439041: 
  (43.0262,13.658)*1.71468e-07 = (7.3776e-06,2.34191e-06) != 
(7.44e-06,2.384e-06)

Found big error at 4439046: 
  (14.8098,23.6026)*1.71468e-07 = (2.5394e-06,4.04709e-06) != 
(2.477e-06,4.005e-06)

Found big error at 4439090: 
  (7.88134,31.2775)*1.71468e-07 = (1.3514e-06,5.36309e-06) != 
(1.289e-06,5.321e-06)

Found big error at 4439112: 
  (27.3369,31.7149)*1.71468e-07 = (4.6874e-06,5.43809e-06) != 
(4.625e-06,5.396e-06)
 (err=2.5e-05)
1. PDA (f2c): elapsed time t=30.0541 s, 1 iters, t-(init.)=27.8172 s
    t(norm)=0.21222, mflops=23.5605
Found big error at 43650: 
  (0.0385033,0.00678272)*0.000414087 = (1.59437e-05,2.80863e-06) != 
(1.5939e-05,2.473e-06)

Found big error at 58875: 
  (0.000517776,0.000152142)*0.000414087 = (2.14404e-07,6.3e-08) != 
(2.11e-07,6.3e-08)

Found big error at 59850: 
  (0.014057,0.0671133)*0.000414087 = (5.82083e-06,2.77907e-05) != 
(5.825e-06,2.8286e-05)

Found big error at 76050: 
  (0.0739279,0.070626)*0.000414087 = (3.06126e-05,2.92453e-05) != 
(3.0609e-05,2.86e-05)

Found big error at 92250: 
  (0.0354228,-0.00106427)*0.000414087 = (1.46681e-05,-4.407e-07) != 
(1.4671e-05,3.42e-07)

Found big error at 108450: 
  (0.0193756,0.00903893)*0.000414087 = (8.02317e-06,3.7429e-06) != 
(8.021e-06,2.838e-06)

Found big error at 124650: 
  (0.00478305,0.0522584)*0.000414087 = (1.9806e-06,2.16395e-05) != 
(1.982e-06,2.2649e-05)

Found big error at 140850: 
  (0.0169375,0.00804283)*0.000414087 = (7.01361e-06,3.33043e-06) != 
(7.013e-06,2.236e-06)

Found big error at 157050: 
  (0.077832,0.0756362)*0.000414087 = (3.22292e-05,3.13199e-05) != 
(3.2229e-05,3.2478e-05)

Found big error at 173250: 
  (0.0776456,0.0533588)*0.000414087 = (3.2152e-05,2.20952e-05) != 
(3.2153e-05,2.0896e-05)

Found big error at 189450: 
  (0.0418048,0.0338433)*0.000414087 = (1.73108e-05,1.40141e-05) != 
(1.7309e-05,1.5231e-05)
 (err=1.2e-05)
2. Singleton (f2c): elapsed time t=83.2909 s, 1 iters, t-(init.)=81.0533 s
    t(norm)=0.618361, mflops=8.08589
Found big error at 76050: 
  (188.708,162.676)*1.71468e-07 = (3.23574e-05,2.78936e-05) != 
(3.0609e-05,2.86e-05)

Found big error at 173250: 
  (189.426,132.696)*1.71468e-07 = (3.24804e-05,2.2753e-05) != 
(3.2153e-05,2.0896e-05)

Found big error at 270450: 
  (107.72,19.7133)*1.71468e-07 = (1.84705e-05,3.38019e-06) != 
(2.0355e-05,3.446e-06)

Found big error at 367650: 
  (90.887,63.0634)*1.71468e-07 = (1.55842e-05,1.08133e-05) != 
(1.5128e-05,1.2643e-05)

Found big error at 464850: 
  (192.204,111.651)*1.71468e-07 = (3.29568e-05,1.91446e-05) != 
(3.1262e-05,1.8318e-05)

Found big error at 562050: 
  (68.4331,137.25)*1.71468e-07 = (1.17341e-05,2.35339e-05) != 
(1.2895e-05,2.2048e-05)

Found big error at 659250: 
  (168.556,133.783)*1.71468e-07 = (2.89019e-05,2.29395e-05) != 
(3.0114e-05,2.4384e-05)

Found big error at 756450: 
  (107.775,139.786)*1.71468e-07 = (1.848e-05,2.39687e-05) != 
(1.6815e-05,2.4854e-05)

Found big error at 853650: 
  (3.48615,138.659)*1.71468e-07 = (5.97762e-07,2.37756e-05) != 
(7.8e-08,2.1963e-05)

Found big error at 950850: 
  (-0.0996133,77.6912)*1.71468e-07 = (-1.70805e-08,1.33215e-05) != 
(1.864e-06,1.319e-05)

Found big error at 1048050: 
  (37.9397,151.006)*1.71468e-07 = (6.50544e-06,2.58927e-05) != 
(6.243e-06,2.776e-05)
 (err=4.8e-06)
3. Temperton (f2c): elapsed time t=33.1753 s, 1 iters, t-(init.)=30.9379 s
    t(norm)=0.236027, mflops=21.184
Found big error at 76050: 
  (188.981,162.565)*1.71468e-07 = (3.24042e-05,2.78747e-05) != 
(3.0609e-05,2.86e-05)

Found big error at 173250: 
  (189.477,132.986)*1.71468e-07 = (3.24892e-05,2.28028e-05) != 
(3.2153e-05,2.0896e-05)

Found big error at 270450: 
  (107.425,19.703)*1.71468e-07 = (1.842e-05,3.37843e-06) != 
(2.0355e-05,3.446e-06)

Found big error at 367650: 
  (90.9582,62.7776)*1.71468e-07 = (1.55964e-05,1.07643e-05) != 
(1.5128e-05,1.2643e-05)

Found big error at 464850: 
  (192.469,111.781)*1.71468e-07 = (3.30022e-05,1.91668e-05) != 
(3.1262e-05,1.8318e-05)

Found big error at 562050: 
  (68.2517,137.482)*1.71468e-07 = (1.1703e-05,2.35737e-05) != 
(1.2895e-05,2.2048e-05)

Found big error at 659250: 
  (168.367,133.557)*1.71468e-07 = (2.88694e-05,2.29008e-05) != 
(3.0114e-05,2.4384e-05)

Found big error at 756450: 
  (108.035,139.647)*1.71468e-07 = (1.85245e-05,2.3945e-05) != 
(1.6815e-05,2.4854e-05)

Found big error at 853650: 
  (3.56735,138.943)*1.71468e-07 = (6.11685e-07,2.38242e-05) != 
(7.8e-08,2.1963e-05)

Found big error at 950850: 
  (-0.393476,77.7118)*1.71468e-07 = (-6.74685e-08,1.33251e-05) != 
(1.864e-06,1.319e-05)

Found big error at 1048050: 
  (37.9807,150.714)*1.71468e-07 = (6.51246e-06,2.58427e-05) != 
(6.243e-06,2.776e-05)
 (err=2.6e-05)

Top mflops for N=5832000 = 63.5761
Normalized results and averages for N=5832000:
  fft 0: mflops = 63.5761 (norm. = 1), norm. avg. (of 24) = 0.990461
  fft 1: mflops = 23.5605 (norm. = 0.370587), norm. avg. (of 24) = 
0.238143
  fft 2: mflops = 8.08589 (norm. = 0.127184), norm. avg. (of 24) = 
0.398523
  fft 3: mflops = 21.184 (norm. = 0.333207), norm. avg. (of 14) = 0.284695

------------------------------------------------------
@@@@ 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), Nielsen, NR (C), Ooura (C), QFT, Ransom, Singleton (f2c), Temperton (f2c), Valkenburg
2, 34.9955, 33.41, 19.8316, 1.4112, 4.98101, 5.68379, 4.97309, 4.68362, , 7.39798, 35.3998, 35.83, 54.058, , 13.4556, 8.90698, 8.56982, 29.7339, , , , 3.34833, 2.5264, 10.5371, 33.0549, , , 7.23149, 3.32311, 8.66919
4, 70.7838, 72.0402, 31.7694, 6.55162, 11.6136, 20.3067, 19.0643, 9.51516, 29.5366, 18.7906, 115.522, 116.671, 172.467, , 34.7833, 18.2477, 17.6482, 83.2027, 35.7165, 36.4916, 33.9592, 7.46115, 9.20605, 19.2836, 63.9496, , 5.37709, 25.403, 10.4405, 9.23592
8, 111.474, 111.523, 41.091, 8.81294, 16.4177, 36.1713, 46.5059, 28.5862, 32.8268, 31.2487, 193.913, 195.053, 258.561, 83.1961, 49.3821, 31.7505, 30.871, 114.704, 60.1088, 60.222, 58.0567, 11.1932, 20.357, 32.8641, 118.214, , 6.2875, 28.6987, 14.7701, 9.7132
16, 73.549, 74.0212, 49.909, 17.1332, 18.6766, 60.1635, 82.8437, 60.2893, 37.2819, 46.3919, 262.152, 262.884, 276.514, 131.597, 74.2255, 46.3724, 45.7286, 132.889, 59.4217, 70.1526, 70.3378, 15.7711, 19.5064, 47.8296, 153.705, 90.6361, 20.7272, 75.3566, 21.1215, 10.103
32, 88.7067, 89.3457, 58.783, 20.551, 19.7554, 90.7942, 88.1131, 112.825, 42.3716, 38.4563, 312.836, 313.206, 316.026, 181.461, 69.1734, 60.732, 61.4429, 136.709, 69.3599, 86.3543, 88.2111, 18.0135, 27.9833, 63.5644, 175.081, 82.7394, 20.9077, 98.8084, 19.7309, 10.4076
64, 91.2701, 91.6691, 67.0343, 30.4287, 20.0914, 110.608, 101.247, 132.665, 47.7002, 45.7881, 338.588, 266.97, 201.039, 254.01, 83.7425, 71.0258, 73.5516, 137.037, 72.9456, 94.508, 97.8479, 20.9227, 35.9758, 76.0687, 196.89, 79.133, 42.0373, 139.852, 25.833, 10.6352
128, 101.519, 101.955, 74.6614, 30.6652, 20.1235, 124.788, 119.883, 186.239, 53.2094, 51.5511, 295.797, 295.952, 223.391, 279.058, 86.0906, 78.6312, 83.0641, 66.2286, 79.9889, 106.226, 109.924, 21.4372, 32.7365, 86.3092, 200.741, 76.9817, 39.5727, 131.05, 24.7325, 10.7917
256, 107.631, 107.755, 81.5305, 35.3214, 20.1504, 142.243, 141.837, 193.087, 58.3608, 55.9123, 315.854, 310.362, 249.685, 298.452, 96.2106, 83.2482, 89.3501, 67.1172, 84.4689, 112.156, 116.604, 23.1054, 37.2063, 93.3818, 214.934, 75.2765, 59.9004, 176.419, 27.2997, 10.9227
512, 113.181, 113.224, 80.3009, 37.4606, 20.1943, 154.475, 145.94, 182.752, 59.1356, 46.3298, 317.734, 295.603, 240.61, 323.226, 85.4903, 83.8832, 93.3043, 70.7741, 91.0164, 121.406, 125.688, 22.9286, 41.5382, 94.9746, 213.656, 70.323, 55.3172, 177.798, 24.3721, 10.9826
1024, 119.201, 118.815, 85.209, 43.7709, 20.1457, 158.174, 144.678, 144.659, 63.3344, 27.6381, 135.953, 134.567, 60.655, 331.465, 42.8045, 83.099, 95.3841, 55.9692, 95.4499, 125.719, 130.124, 20.1491, 33.6278, 94.6007, 222.868, 25.0342, 73.6218, 193.294, 27.5754, 9.265
2048, 112.235, 108.938, 75.3985, 38.0197, 19.3126, 139.577, 102.241, 115.771, 58.8088, 15.7247, 43.0806, 42.8589, 26.4238, 141.815, 19.6237, 73.9043, 85.5867, 46.9324, 94.8366, 124.098, 94.3821, 5.42769, 22.2994, 82.5008, 107.319, 23.2998, 55.2133, 142.309, 20.1244, 6.1915
4096, 22.761, 21.4867, 18.0256, 28.9807, 16.2296, 52.0758, 72.4665, 86.8698, 17.144, 17.0498, 45.0866, 42.2877, 27.4475, 54.3579, 22.6471, 22.5624, 22.7812, 42.713, 83.7536, 108.561, 56.747, 5.69977, 17.5608, 22.9473, 59.0996, 21.7914, 53.9784, 45.2057, 19.1153, 5.70535
8192, 24.2882, 22.8789, 16.8701, 24.2322, 16.1135, 47.0286, 73.3163, 80.1645, 16.2224, 14.4483, 45.3585, 45.3143, 29.0635, 53.2515, 17.638, 22.2804, 22.5283, , 25.6663, 27.1183, 22.8322, 5.52315, 16.359, 22.6605, 56.958, 19.5695, 44.5624, 41.25, 17.8337, 5.4199
16384, 21.8241, 20.6088, 16.7708, 30.9176, 16.1129, 50.4652, 79.3728, 79.3097, 16.1669, 14.9955, 43.3952, 46.0682, 27.1727, 51.7625, 19.2594, 22.3291, 22.5372, , 24.9005, 26.0841, 22.5107, 5.7141, 17.5177, 22.5828, 60.4442, 17.79, 61.6731, 44.8147, 19.1619, 5.18923
32768, 23.2089, 21.9981, 16.62, 25.2725, 15.9416, 49.6159, 77.8625, 77.9876, 16.0638, 15.543, 46.4582, 45.7758, 21.4703, 51.0453, 20.8771, 22.1578, 22.3684, , 24.7183, 25.7754, 22.4685, 5.51323, 17.8727, 22.3256, 58.2582, 15.7761, 49.6241, 37.0693, 18.0949, 4.87724
65536, 20.189, 19.1719, 15.8955, 32.8168, 15.4886, 44.1898, 61.954, 61.9794, 15.3716, 13.025, 44.5281, 36.7426, 18.9307, 48.3581, 20.1864, 20.763, 21.0529, , 24.068, 25.0813, 21.7385, 5.67705, 15.9667, 21.3482, 54.6037, 11.2435, 40.6363, 40.1563, 18.068, 4.51699
131072, 6.55994, 6.1758, 4.57506, 14.6712, 10.2782, 16.9665, 39.2574, 39.2504, 4.57416, 9.15353, 34.7816, 27.6848, 15.6566, 17.6717, 12.7126, 6.8286, 7.05538, , 19.881, 20.5752, 18.1031, 5.41337, 8.27718, 6.83959, 21.3327, 10.2603, 20.2546, 13.2746, 10.8317, 3.43008
262144, 5.18909, 5.16219, 4.25411, 16.3852, 10.2402, 16.1989, 24.6455, 24.6349, 4.23776, 9.0542, 35.5753, 26.4865, 14.0024, 16.6462, 12.9496, 6.60701, 6.47892, , 7.41888, 7.48846, 7.16967, 5.63515, 6.89636, 6.43873, 22.3318, 8.23924, 28.9359, 13.0064, 10.3175, 3.30092
524288, 5.42874, 5.38401, 4.16927, 10.2971, 10.2612, 14.6349, 24.9132, 24.9142, 4.14715, 9.36735, 31.1927, 26.5029, 12.4792, 16.3769, 13.6613, 6.5776, 6.44071, , 6.86085, 6.93694, 6.58819, 5.36947, 6.531, 6.40436, 21.5577, 5.7232, 22.251, 10.9683, 9.64679, 3.20654
1048576, 4.98462, 4.95771, 4.11852, 16.4842, 10.278, 14.404, , , 4.0954, 9.26652, 31.6659, 23.9698, 12.1926, , 14.2456, 6.55835, 6.41344, , , 6.81481, 6.48966, 5.52051, 6.78024, 6.38154, 22.5831, 5.15103, 31.6593, 12.7471, 9.9899, 3.10258

Norm. Avg., 0.327138, 0.320704, 0.21887, 0.227143, 0.150707, 0.443257, 0.567998, 0.608716, 0.17767, 0.174803, 0.771798, 0.709978, 0.568407, 0.688319, 0.26718, 0.234283, 0.243542, 0.361777, 0.328257, 0.377148, 0.328315, 0.0819112, 0.148038, 0.24751, 0.63985, 0.215903, 0.399467, 0.43008, 0.160922, 0.0615374

------------------------------------------------------
@@@@ bench.1d.np2.dat
N, CWP (min N), CWP (best N), FFTPACK (f2c), FFTW, FFTW_ESTIMATE, Frigo-old, GSL, NAPACK (f2c), Nielsen, Singleton (f2c), Temperton (f2c), Valkenburg
6, 27.4528, 18.293, 23.3201, 146.884, 147.825, 26.3779, 38.9986, 10.0144, 7.71959, 20.449, 10.2064, 9.81555
9, 47.5977, 33.6421, 29.3962, 163.2, 163.777, 22.8865, 36.7318, 12.5388, 11.8668, 38.2723, 14.762, 9.99683
12, 61.0455, 50.7319, 37.3331, 238.673, 239.564, 39.8592, 57.5478, 13.1038, 15.4399, 41.0605, 19.2801, 10.1378
15, 69.2177, 69.1198, 39.27, 181.389, 181.787, 27.7436, 40.1375, 9.11107, 18.0347, 45.839, 20.1223, 9.12677
18, 74.2254, 70.6565, 28.1297, 151.226, 149.592, 26.3869, 63.7746, 15.0035, 13.6784, 57.2963, 16.958, 10.2973
24, 102.288, 103.591, 33.0629, 200.959, 201.167, 51.9216, 84.4812, 16.8588, 23.2937, 53.6663, 21.9986, 10.4166
36, 122.367, 122.014, 35.8561, 214.93, 215.163, 33.134, 96.5927, 18.2538, 20.6553, 87.7936, 25.1162, 10.5392
80, 152.778, 174.636, 45.8935, 243.722, 243.849, 66.5556, 63.9176, 12.6587, 38.4218, 135.064, 29.3923, 10.0569
108, 129.87, 168.171, 43.4436, 235.747, 235.89, 30.4848, 90.6154, 19.969, 23.5322, 97.4436, 26.8778, 10.7063
210, 185.428, 185.394, 31.8144, 195.322, 186.177, 32.5078, 64.6994, 10.3246, 31.7327, 79.739, , 8.64919
504, 200.471, 200.476, 31.1813, 235.703, 205.108, 38.1557, 87.1142, 13.5371, 30.2452, 95.0034, , 9.49406
1000, 130.015, 190.143, 28.0056, 119.733, 119.726, 24.2687, 34.7626, 10.8895, 41.8375, 134.439, 27.4233, 8.35184
1960, 153.959, 153.982, 9.31492, 46.9461, 47.6425, 18.4971, 16.0592, 6.06489, 21.8033, 94.859, , 6.10108
4725, 85.3356, 95.1378, 11.0452, 50.6889, 44.2329, 12.7663, 18.5556, 6.38658, 17.2921, 41.4297, , 6.36739
10368, 83.1926, 87.6852, 15.7759, 43.293, 48.6682, 17.7906, 21.7377, 6.34837, 16.6318, 34.0141, 20.0384, 5.75268
27000, 90.4887, 90.4255, 16.405, 47.779, 49.2707, 12.7737, 21.2981, 6.17086, 18.8748, 34.5841, 20.0694, 5.27568
75600, 57.7537, 57.7481, 10.5024, 42.6443, 40.7383, 11.4015, 16.2266, 5.94785, 15.0566, 22.6622, , 4.54447
165375, 32.5448, 32.551, 6.34262, 36.277, 34.7041, 7.67984, 16.6386, 5.01113, 11.0034, 13.0435, , 4.6352
362880, 16.765, 16.7621, 8.59997, 42.8482, 36.0755, 9.53401, 17.783, 5.27631, 8.70017, 10.1887, , 3.74644

Norm. Avg., 0.656559, 0.683521, 0.16506, 0.853077, 0.832635, 0.174309, 0.300362, 0.0753936, 0.149863, 0.376101, 0.126466, 0.0593834

------------------------------------------------------
@@@@ bench.3d.p2.dat
Array Dimensions, FFTW, HARM (f2c), NR (C), PDA (f2c), Singleton (f2c), 
Temperton (f2c)
4x4x4, 231.895, , 80.493, 11.9339, 152.424, 34.9584
8x8x8, 276.381, 39.4445, 109.501, 21.3929, 134.324, 37.4849
16x16x16, 92.5379, 33.9298, 21.081, 23.1594, 37.4511, 33.9979
32x32x32, 110.475, 33.9704, 20.9494, 22.9192, 33.0146, 29.1926
64x64x64, 37.7948, 20.0638, 5.99974, 11.4972, 11.4967, 19.0572
256x64x32, 38.6521, 19.24, 6.02267, 13.873, 10.9645, 16.1788
16x1024x64, 37.7178, 19.731, 5.98662, 11.8179, 11.3715, 
128x128x128, 40.7994, 18.375, 5.99634, 13.2559, 8.13377, 10.2969
512x128x64, 43.3628, 18.7845, 6.03266, 13.8563, 9.84832, 

Norm. Avg., 1, 0.406525, 0.213347, 0.245276, 0.35141, 0.299029

------------------------------------------------------
@@@@ bench.3d.np2.dat
Array Dimensions, FFTW, PDA (f2c), Singleton (f2c), Temperton (f2c)
5x5x5, 164.237, 14.4635, 210.406, 34.2262
6x6x6, 220.555, 16.0945, 113.932, 30.678
7x7x7, 156.703, 8.74723, 100.401, 
9x9x9, 205.568, 20.8561, 146.221, 37.6111
10x10x10, 226.306, 23.6594, 143.837, 34.6705
11x11x11, 121.642, 8.71517, 94.6469, 
12x12x12, 286.976, 25.3425, 141.183, 46.2948
13x13x13, 76.5142, 8.20759, 77.2495, 
14x14x14, 114.126, 13.7823, 60.2377, 
15x15x15, 120.708, 25.9216, 60.7593, 35.6307
24x25x28, 101.515, 23.4185, 35.1844, 
48x48x48, 60.7025, 22.3783, 16.1762, 25.4958
49x49x49, 65.1728, 13.4469, 19.4996, 
60x60x60, 61.4745, 23.9451, 10.1941, 22.224
72x60x56, 60.4328, 19.6622, 10.1538, 
75x75x75, 62.5924, 24.3899, 12.1305, 24.0981
80x80x80, 59.7401, 23.3603, 12.1487, 21.5358
84x84x84, 64.3101, 18.451, 9.72068, 
96x96x96, 46.4265, 18.0049, 8.71805, 18.6411
105x105x105, 66.3151, 19.233, 12.3591, 
112x112x112, 62.4925, 18.6103, 12.2081, 
120x120x120, 61.8422, 24.616, 7.49889, 18.7665
144x144x144, 62.4427, 23.5885, 9.16531, 20.3623
180x180x180, 63.5761, 23.5605, 8.08589, 21.184

Norm. Avg., 0.990461, 0.238143, 0.398523, 0.284695
@@@@ end