Bill Allombert on Sat, 01 Dec 2012 21:52:47 +0100 |
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Work on polrootsff/factorff |
Dear PARI developers, I am working on improving factorff and polrootsff which have historically been quite slow in PARI. I join two benchmarks. The first file is for Trager algorithm (default) and the second for Berlekamp algorithm. The third column is polrootsff timings and the fourth is factorff timings. We see that Berlekamp is consistently much faster than Trager for large degree. There is three oddities: 1) We did not implement Berlekamp over F_2^n yet, so we are still using Trager for that case in the second file, so we get indentical results. 2) We have dedicated code for Trager over F_2^n but not for polrootsff yet, so factorff is much faster. 3) For degree 2 polynomials, polrootsff is much slower than factorff, because the square root function over Fq is slow for large degree. Cheers, Bill.
Reading GPRC: /home/bill/.gprc ...Done. GP/PARI CALCULATOR Version 2.6.0 (development git-e060fdc) amd64 running linux (x86-64/GMP-4.3.2 kernel) 64-bit version compiled: Nov 30 2012, gcc version 4.4.5 (Debian 4.4.5-8) (readline v5.2 disabled, extended help enabled) Copyright (C) 2000-2011 The PARI Group PARI/GP is free software, covered by the GNU General Public License, and comes WITHOUT ANY WARRANTY WHATSOEVER. Type ? for help, \q to quit. Type ?12 for how to get moral (and possibly technical) support. parisize = 1000000000, primelimit = 500509 time = [0;33m0 ms[0m. time = [0;33m0 ms[0m. time = [0;33m0 ms[0m. ....log2 p: 1, n: 2, deg: 2 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 10, deg: 2 | 0.00 0.00 0.01 0.01 ....log2 p: 1, n: 30, deg: 2 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 100, deg: 2 | 0.00 0.00 0.00 1.00 ....log2 p: 2, n: 2, deg: 2 | 0.02 0.02 0.01 0.03 ....log2 p: 2, n: 10, deg: 2 | 0.03 0.03 0.08 0.12 ....log2 p: 2, n: 30, deg: 2 | 0.00 0.00 1.00 1.00 ....log2 p: 2, n: 100, deg: 2 | 1.00 1.00 10.00 9.00 ....log2 p: 4, n: 2, deg: 2 | 0.02 0.02 0.02 0.04 ....log2 p: 4, n: 10, deg: 2 | 0.06 0.06 0.19 0.19 ....log2 p: 4, n: 30, deg: 2 | 0.00 0.00 1.00 1.00 ....log2 p: 4, n: 100, deg: 2 | 2.00 2.00 48.00 14.00 ....log2 p: 14, n: 2, deg: 2 | 0.00 0.00 0.03 0.05 ....log2 p: 14, n: 10, deg: 2 | 0.00 0.00 0.00 0.00 ....log2 p: 14, n: 30, deg: 2 | 0.00 0.00 3.00 3.00 ....log2 p: 14, n: 100, deg: 2 | 0.00 0.00 54.00 37.00 ....log2 p: 30, n: 2, deg: 2 | 0.03 0.03 0.06 0.06 ....log2 p: 30, n: 10, deg: 2 | 0.00 0.00 1.00 1.00 ....log2 p: 30, n: 30, deg: 2 | 1.00 1.00 26.00 6.00 ....log2 p: 30, n: 100, deg: 2 | 13.00 13.00 785.00 118.00 ....log2 p: 32, n: 2, deg: 2 | 0.01 0.01 0.05 0.10 ....log2 p: 32, n: 10, deg: 2 | 0.00 0.00 1.00 2.00 ....log2 p: 32, n: 30, deg: 2 | 0.00 0.00 28.00 17.00 ....log2 p: 32, n: 100, deg: 2 | 0.00 0.00 2034.00 335.00 ....log2 p: 60, n: 2, deg: 2 | 0.05 0.05 0.16 0.14 ....log2 p: 60, n: 10, deg: 2 | 0.00 0.00 4.00 5.00 ....log2 p: 60, n: 30, deg: 2 | 0.00 0.00 180.00 33.00 ....log2 p: 60, n: 100, deg: 2 | 87.00 87.00 3427.00 711.00 ....log2 p: 64, n: 2, deg: 2 | 0.02 0.02 0.32 0.71 ....log2 p: 64, n: 10, deg: 2 | 0.00 0.00 9.00 12.00 ....log2 p: 64, n: 30, deg: 2 | 0.00 0.00 134.00 38.00 ....log2 p: 64, n: 100, deg: 2 | 0.00 0.00 2563.00 697.00 ....log2 p: 199, n: 2, deg: 2 | 0.59 0.59 1.76 2.93 ....log2 p: 199, n: 10, deg: 2 | 1.00 1.00 187.00 35.00 ....log2 p: 199, n: 30, deg: 2 | 40.00 40.00 2561.00 228.00 ....log2 p: 199, n: 100, deg: 2 | 5.00 4.00 36730.00 2075.00 time = [0;33m59,417 ms[0m. ....log2 p: 1, n: 2, deg: 10 | 0.00 0.08 0.08 0.08 ....log2 p: 1, n: 10, deg: 10 | 0.00 0.00 5.00 5.00 ....log2 p: 1, n: 30, deg: 10 | 1.00 1.00 49.00 7.00 ....log2 p: 1, n: 100, deg: 10 | 2.00 2.00 1222.00 85.00 ....log2 p: 2, n: 2, deg: 10 | 0.00 0.00 0.00 0.00 ....log2 p: 2, n: 10, deg: 10 | 0.00 0.00 7.00 3.00 ....log2 p: 2, n: 30, deg: 10 | 0.00 0.00 49.00 35.00 ....log2 p: 2, n: 100, deg: 10 | 3.00 3.00 450.00 3380.00 ....log2 p: 4, n: 2, deg: 10 | 0.00 0.00 1.00 0.00 ....log2 p: 4, n: 10, deg: 10 | 0.00 0.00 7.00 4.00 ....log2 p: 4, n: 30, deg: 10 | 0.00 0.00 51.00 50.00 ....log2 p: 4, n: 100, deg: 10 | 0.00 0.00 359.00 5725.00 ....log2 p: 14, n: 2, deg: 10 | 0.00 0.00 2.00 1.00 ....log2 p: 14, n: 10, deg: 10 | 0.00 0.00 23.00 9.00 ....log2 p: 14, n: 30, deg: 10 | 1.00 1.00 134.00 131.00 ....log2 p: 14, n: 100, deg: 10 | 25.00 25.00 1357.00 8099.00 ....log2 p: 30, n: 2, deg: 10 | 0.00 0.00 1.00 1.00 ....log2 p: 30, n: 10, deg: 10 | 1.00 1.00 73.00 25.00 ....log2 p: 30, n: 30, deg: 10 | 6.00 6.00 685.00 446.00 ....log2 p: 30, n: 100, deg: 10 | 90.00 89.00 4109.00 12741.00 ....log2 p: 32, n: 2, deg: 10 | 0.00 0.00 1.00 1.00 ....log2 p: 32, n: 10, deg: 10 | 0.00 0.00 96.00 70.00 ....log2 p: 32, n: 30, deg: 10 | 3.00 3.00 834.00 864.00 ....log2 p: 32, n: 100, deg: 10 | 9.00 9.00 5345.00 21714.00 ....log2 p: 60, n: 2, deg: 10 | 1.00 1.00 12.00 6.00 ....log2 p: 60, n: 10, deg: 10 | 1.00 1.00 175.00 166.00 ....log2 p: 60, n: 30, deg: 10 | 1.00 1.00 944.00 1624.00 ....log2 p: 60, n: 100, deg: 10 | 1.00 1.00 14313.00 37000.00 ....log2 p: 64, n: 2, deg: 10 | 0.00 1.00 8.00 7.00 ....log2 p: 64, n: 10, deg: 10 | 2.00 2.00 353.00 215.00 ....log2 p: 64, n: 30, deg: 10 | 15.00 15.00 2395.00 2131.00 ....log2 p: 64, n: 100, deg: 10 | 213.00 213.00 18497.00 70348.00 ....log2 p: 199, n: 2, deg: 10 | 1.00 2.00 44.00 83.00 ....log2 p: 199, n: 10, deg: 10 | 5.00 5.00 2193.00 1198.00 ....log2 p: 199, n: 30, deg: 10 | 97.00 97.00 15031.00 8302.00 ....log2 p: 199, n: 100, deg: 10 | 81.00 81.00 54710.00 186968.00 time = [0;33m8min, 6,094 ms[0m. ....log2 p: 1, n: 2, deg: 16 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 10, deg: 16 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 30, deg: 16 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 100, deg: 16 | 0.00 0.00 1.00 3.00 ....log2 p: 2, n: 2, deg: 16 | 0.00 0.00 0.00 0.00 ....log2 p: 2, n: 10, deg: 16 | 0.00 0.00 3.00 1.00 ....log2 p: 2, n: 30, deg: 16 | 0.00 0.00 17.00 5.00 ....log2 p: 2, n: 100, deg: 16 | 3.00 3.00 120.00 43.00 ....log2 p: 4, n: 2, deg: 16 | 0.00 0.00 2.00 1.00 ....log2 p: 4, n: 10, deg: 16 | 0.00 0.00 22.00 13.00 ....log2 p: 4, n: 30, deg: 16 | 2.00 2.00 169.00 270.00 ....log2 p: 4, n: 100, deg: 16 | 16.00 16.00 1052.00 30104.00 ....log2 p: 14, n: 2, deg: 16 | 0.00 0.00 4.00 1.00 ....log2 p: 14, n: 10, deg: 16 | 1.00 1.00 53.00 26.00 ....log2 p: 14, n: 30, deg: 16 | 1.00 1.00 338.00 492.00 ....log2 p: 14, n: 100, deg: 16 | 40.00 40.00 2768.00 39068.00 ....log2 p: 30, n: 2, deg: 16 | 1.00 0.00 12.00 2.00 ....log2 p: 30, n: 10, deg: 16 | 1.00 1.00 152.00 69.00 ....log2 p: 30, n: 30, deg: 16 | 6.00 6.00 1096.00 1526.00 ....log2 p: 30, n: 100, deg: 16 | 108.00 108.00 8941.00 55327.00 ....log2 p: 32, n: 2, deg: 16 | 2.00 1.00 16.00 5.00 ....log2 p: 32, n: 10, deg: 16 | 2.00 2.00 232.00 231.00 ....log2 p: 32, n: 30, deg: 16 | 16.00 16.00 2304.00 2703.00 ....log2 p: 32, n: 100, deg: 16 | 40.00 40.00 12604.00 90470.00 ....log2 p: 60, n: 2, deg: 16 | 3.00 3.00 29.00 14.00 ....log2 p: 60, n: 10, deg: 16 | 6.00 6.00 573.00 507.00 ....log2 p: 60, n: 30, deg: 16 | 4.00 4.00 3555.00 5195.00 ....log2 p: 60, n: 100, deg: 16 | 701.00 702.00 36017.00 150177.00 ....log2 p: 64, n: 2, deg: 16 | 8.00 8.00 102.00 27.00 ....log2 p: 64, n: 10, deg: 16 | 9.00 9.00 1057.00 501.00 ....log2 p: 64, n: 30, deg: 16 | 56.00 55.00 5858.00 6957.00 ....log2 p: 64, n: 100, deg: 16 | 641.00 640.00 37798.00 425398.00 ....log2 p: 199, n: 2, deg: 16 | 51.00 44.00 662.00 181.00 ....log2 p: 199, n: 10, deg: 16 | 53.00 47.00 6395.00 2611.00 ....log2 p: 199, n: 30, deg: 16 | 366.00 358.00 38800.00 22330.00 ....log2 p: 199, n: 100, deg: 16 | 82.00 76.00 130775.00 1318024.00 time = [0;33m40min, 48,215 ms[0m. ....log2 p: 1, n: 2, deg: 32 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 10, deg: 32 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 30, deg: 32 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 100, deg: 32 | 0.00 0.00 1.00 3.00 ....log2 p: 2, n: 2, deg: 32 | 0.00 0.00 2.00 1.00 ....log2 p: 2, n: 10, deg: 32 | 0.00 0.00 16.00 5.00 ....log2 p: 2, n: 30, deg: 32 | 0.00 1.00 88.00 29.00 ....log2 p: 2, n: 100, deg: 32 | 6.00 5.00 785.00 398.00 ....log2 p: 4, n: 2, deg: 32 | 1.00 1.00 6.00 3.00 ....log2 p: 4, n: 10, deg: 32 | 1.00 1.00 63.00 73.00 ....log2 p: 4, n: 30, deg: 32 | 3.00 3.00 606.00 5134.00 ....log2 p: 4, n: 100, deg: 32 | 33.00 32.00 3358.00 304727.00 ....log2 p: 14, n: 2, deg: 32 | 1.00 1.00 12.00 4.00 ....log2 p: 14, n: 10, deg: 32 | 2.00 1.00 176.00 159.00 ....log2 p: 14, n: 30, deg: 32 | 2.00 2.00 1407.00 7030.00 ....log2 p: 14, n: 100, deg: 32 | 81.00 80.00 9305.00 374691.00 ....log2 p: 30, n: 2, deg: 32 | 2.00 2.00 34.00 6.00 ....log2 p: 30, n: 10, deg: 32 | 2.00 3.00 474.00 521.00 ....log2 p: 30, n: 30, deg: 32 | 14.00 14.00 3020.00 11416.00 ....log2 p: 30, n: 100, deg: 32 | 217.00 218.00 19912.00 514816.00 ....log2 p: 32, n: 2, deg: 32 | 5.00 5.00 48.00 25.00 ....log2 p: 32, n: 10, deg: 32 | 6.00 6.00 821.00 926.00 ....log2 p: 32, n: 30, deg: 32 | 34.00 33.00 6929.00 19378.00 ....log2 p: 32, n: 100, deg: 32 | 83.00 82.00 31216.00 826080.00 ....log2 p: 60, n: 2, deg: 32 | 11.00 12.00 83.00 62.00 ....log2 p: 60, n: 10, deg: 32 | 16.00 17.00 1862.00 1923.00 ....log2 p: 60, n: 30, deg: 32 | 13.00 14.00 12906.00 33720.00 ....log2 p: 60, n: 100, deg: 32 | 1407.00 1408.00 99801.00 1243704.00 ....log2 p: 64, n: 2, deg: 32 | 26.00 27.00 383.00 88.00 ....log2 p: 64, n: 10, deg: 32 | 28.00 30.00 3632.00 2425.00 ....log2 p: 64, n: 30, deg: 32 | 121.00 122.00 21350.00 60380.00 ... [0;31m[0;31m *** at top-level:[0;36m do(SD(5)) [0;31m[0;31m *** ^--------- [0;31m *** in function do: ...[0;36mgree(T)^3*d^2*log(p))^2);[0;36mtest(p,d,T,N));print [0;31m[0;31m *** ^-------------------- [0;31m *** in function test: ...[0;36m();print1(".");for(i=1,N,[0;36mfactorff(T,p,t));t4= [0;31m[0;31m *** ^-------------------- *** factorff: the PARI stack overflows ! current stack size: 1000000000 (953.674 Mbytes) [hint] you can increase GP stack with allocatemem() [0m Goodbye!
Reading GPRC: /home/bill/.gprc ...Done. GP/PARI CALCULATOR Version 2.6.0 (development git-e060fdc) amd64 running linux (x86-64/GMP-4.3.2 kernel) 64-bit version compiled: Nov 30 2012, gcc version 4.4.5 (Debian 4.4.5-8) (readline v5.2 disabled, extended help enabled) Copyright (C) 2000-2011 The PARI Group PARI/GP is free software, covered by the GNU General Public License, and comes WITHOUT ANY WARRANTY WHATSOEVER. Type ? for help, \q to quit. Type ?12 for how to get moral (and possibly technical) support. parisize = 1000000000, primelimit = 500509 time = [0;33m0 ms[0m. time = [0;33m0 ms[0m. time = [0;33m0 ms[0m. ....log2 p: 1, n: 2, deg: 2 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 10, deg: 2 | 0.00 0.00 0.01 0.01 ....log2 p: 1, n: 30, deg: 2 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 100, deg: 2 | 0.00 0.00 0.00 1.00 ....log2 p: 2, n: 2, deg: 2 | 0.01 0.01 0.01 0.06 ....log2 p: 2, n: 10, deg: 2 | 0.03 0.03 0.08 0.35 ....log2 p: 2, n: 30, deg: 2 | 0.00 0.00 1.00 2.00 ....log2 p: 2, n: 100, deg: 2 | 1.00 1.00 10.00 47.00 ....log2 p: 4, n: 2, deg: 2 | 0.02 0.02 0.02 0.09 ....log2 p: 4, n: 10, deg: 2 | 0.06 0.06 0.19 0.44 ....log2 p: 4, n: 30, deg: 2 | 0.00 0.00 1.00 2.00 ....log2 p: 4, n: 100, deg: 2 | 2.00 2.00 49.00 20.00 ....log2 p: 14, n: 2, deg: 2 | 0.00 0.00 0.03 0.18 ....log2 p: 14, n: 10, deg: 2 | 0.00 0.00 0.00 0.60 ....log2 p: 14, n: 30, deg: 2 | 0.00 0.00 3.00 2.00 ....log2 p: 14, n: 100, deg: 2 | 0.00 0.00 55.00 83.00 ....log2 p: 30, n: 2, deg: 2 | 0.03 0.03 0.05 0.32 ....log2 p: 30, n: 10, deg: 2 | 0.00 0.00 1.00 1.00 ....log2 p: 30, n: 30, deg: 2 | 1.00 1.00 26.00 16.00 ....log2 p: 30, n: 100, deg: 2 | 14.00 14.00 789.00 274.00 ....log2 p: 32, n: 2, deg: 2 | 0.01 0.01 0.05 0.47 ....log2 p: 32, n: 10, deg: 2 | 0.00 0.00 1.00 2.00 ....log2 p: 32, n: 30, deg: 2 | 0.00 0.00 27.00 23.00 ....log2 p: 32, n: 100, deg: 2 | 0.00 0.00 2014.00 150.00 ....log2 p: 60, n: 2, deg: 2 | 0.05 0.05 0.16 0.87 ....log2 p: 60, n: 10, deg: 2 | 0.00 0.00 4.00 23.00 ....log2 p: 60, n: 30, deg: 2 | 0.00 0.00 180.00 33.00 ....log2 p: 60, n: 100, deg: 2 | 87.00 87.00 3389.00 470.00 ....log2 p: 64, n: 2, deg: 2 | 0.02 0.02 0.30 2.22 ....log2 p: 64, n: 10, deg: 2 | 0.00 0.00 9.00 17.00 ....log2 p: 64, n: 30, deg: 2 | 0.00 0.00 134.00 146.00 ....log2 p: 64, n: 100, deg: 2 | 0.00 0.00 2564.00 1199.00 ....log2 p: 199, n: 2, deg: 2 | 0.59 0.59 1.76 15.64 ....log2 p: 199, n: 10, deg: 2 | 1.00 1.00 188.00 107.00 ....log2 p: 199, n: 30, deg: 2 | 40.00 40.00 2555.00 513.00 ....log2 p: 199, n: 100, deg: 2 | 5.00 4.00 36775.00 1629.00 time = [0;33m1min, 1,650 ms[0m. ....log2 p: 1, n: 2, deg: 10 | 0.00 0.08 0.08 0.08 ....log2 p: 1, n: 10, deg: 10 | 0.00 0.00 5.00 5.00 ....log2 p: 1, n: 30, deg: 10 | 1.00 1.00 49.00 7.00 ....log2 p: 1, n: 100, deg: 10 | 2.00 2.00 1227.00 87.00 ....log2 p: 2, n: 2, deg: 10 | 0.00 0.00 0.00 0.41 ....log2 p: 2, n: 10, deg: 10 | 0.00 0.00 7.00 8.00 ....log2 p: 2, n: 30, deg: 10 | 0.00 0.00 49.00 57.00 ....log2 p: 2, n: 100, deg: 10 | 3.00 3.00 452.00 510.00 ....log2 p: 4, n: 2, deg: 10 | 0.00 0.00 1.00 1.00 ....log2 p: 4, n: 10, deg: 10 | 0.00 0.00 7.00 7.00 ....log2 p: 4, n: 30, deg: 10 | 0.00 0.00 52.00 49.00 ....log2 p: 4, n: 100, deg: 10 | 0.00 0.00 360.00 492.00 ....log2 p: 14, n: 2, deg: 10 | 0.00 0.00 2.00 3.00 ....log2 p: 14, n: 10, deg: 10 | 0.00 0.00 23.00 23.00 ....log2 p: 14, n: 30, deg: 10 | 1.00 1.00 134.00 182.00 ....log2 p: 14, n: 100, deg: 10 | 25.00 25.00 1363.00 1473.00 ....log2 p: 30, n: 2, deg: 10 | 0.00 0.00 1.00 5.00 ....log2 p: 30, n: 10, deg: 10 | 1.00 1.00 73.00 97.00 ....log2 p: 30, n: 30, deg: 10 | 6.00 6.00 686.00 718.00 ....log2 p: 30, n: 100, deg: 10 | 90.00 89.00 4114.00 6294.00 ....log2 p: 32, n: 2, deg: 10 | 0.00 0.00 1.00 6.00 ....log2 p: 32, n: 10, deg: 10 | 0.00 0.00 96.00 117.00 ....log2 p: 32, n: 30, deg: 10 | 3.00 3.00 832.00 1223.00 ....log2 p: 32, n: 100, deg: 10 | 9.00 9.00 5317.00 6331.00 ....log2 p: 60, n: 2, deg: 10 | 1.00 1.00 12.00 15.00 ....log2 p: 60, n: 10, deg: 10 | 1.00 1.00 174.00 195.00 ....log2 p: 60, n: 30, deg: 10 | 1.00 1.00 944.00 1697.00 ....log2 p: 60, n: 100, deg: 10 | 1.00 1.00 14253.00 18164.00 ....log2 p: 64, n: 2, deg: 10 | 0.00 1.00 8.00 83.00 ....log2 p: 64, n: 10, deg: 10 | 2.00 2.00 353.00 437.00 ....log2 p: 64, n: 30, deg: 10 | 15.00 15.00 2404.00 4031.00 ....log2 p: 64, n: 100, deg: 10 | 213.00 212.00 18498.00 21081.00 ....log2 p: 199, n: 2, deg: 10 | 1.00 2.00 44.00 132.00 ....log2 p: 199, n: 10, deg: 10 | 5.00 5.00 2197.00 2497.00 ....log2 p: 199, n: 30, deg: 10 | 97.00 97.00 15060.00 21141.00 ....log2 p: 199, n: 100, deg: 10 | 81.00 81.00 54737.00 83674.00 time = [0;33m4min, 55,496 ms[0m. ....log2 p: 1, n: 2, deg: 16 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 10, deg: 16 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 30, deg: 16 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 100, deg: 16 | 0.00 0.00 1.00 3.00 ....log2 p: 2, n: 2, deg: 16 | 0.00 0.00 0.00 0.00 ....log2 p: 2, n: 10, deg: 16 | 0.00 0.00 3.00 1.00 ....log2 p: 2, n: 30, deg: 16 | 0.00 0.00 17.00 5.00 ....log2 p: 2, n: 100, deg: 16 | 3.00 3.00 121.00 69.00 ....log2 p: 4, n: 2, deg: 16 | 0.00 0.00 2.00 3.00 ....log2 p: 4, n: 10, deg: 16 | 0.00 0.00 22.00 27.00 ....log2 p: 4, n: 30, deg: 16 | 2.00 2.00 170.00 221.00 ....log2 p: 4, n: 100, deg: 16 | 16.00 16.00 1060.00 1524.00 ....log2 p: 14, n: 2, deg: 16 | 0.00 0.00 4.00 6.00 ....log2 p: 14, n: 10, deg: 16 | 1.00 1.00 53.00 67.00 ....log2 p: 14, n: 30, deg: 16 | 1.00 1.00 340.00 447.00 ....log2 p: 14, n: 100, deg: 16 | 40.00 40.00 2778.00 3400.00 ....log2 p: 30, n: 2, deg: 16 | 1.00 0.00 12.00 16.00 ....log2 p: 30, n: 10, deg: 16 | 1.00 1.00 152.00 231.00 ....log2 p: 30, n: 30, deg: 16 | 7.00 7.00 1098.00 1370.00 ....log2 p: 30, n: 100, deg: 16 | 109.00 108.00 8951.00 10043.00 ....log2 p: 32, n: 2, deg: 16 | 2.00 1.00 16.00 20.00 ....log2 p: 32, n: 10, deg: 16 | 2.00 2.00 232.00 289.00 ....log2 p: 32, n: 30, deg: 16 | 16.00 16.00 2297.00 2622.00 ....log2 p: 32, n: 100, deg: 16 | 40.00 40.00 12539.00 14900.00 ....log2 p: 60, n: 2, deg: 16 | 3.00 3.00 29.00 38.00 ....log2 p: 60, n: 10, deg: 16 | 6.00 6.00 573.00 696.00 ....log2 p: 60, n: 30, deg: 16 | 4.00 4.00 3556.00 4335.00 ....log2 p: 60, n: 100, deg: 16 | 696.00 698.00 35806.00 47894.00 ....log2 p: 64, n: 2, deg: 16 | 8.00 8.00 103.00 147.00 ....log2 p: 64, n: 10, deg: 16 | 9.00 9.00 1057.00 1278.00 ....log2 p: 64, n: 30, deg: 16 | 56.00 55.00 5875.00 8285.00 ....log2 p: 64, n: 100, deg: 16 | 641.00 641.00 37799.00 48036.00 ....log2 p: 199, n: 2, deg: 16 | 51.00 45.00 659.00 702.00 ....log2 p: 199, n: 10, deg: 16 | 53.00 47.00 6400.00 7449.00 ....log2 p: 199, n: 30, deg: 16 | 364.00 359.00 38844.00 48856.00 ....log2 p: 199, n: 100, deg: 16 | 83.00 76.00 130818.00 164723.00 time = [0;33m11min, 3,490 ms[0m. ....log2 p: 1, n: 2, deg: 32 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 10, deg: 32 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 30, deg: 32 | 0.00 0.00 0.00 0.00 ....log2 p: 1, n: 100, deg: 32 | 0.00 0.00 1.00 3.00 ....log2 p: 2, n: 2, deg: 32 | 0.00 0.00 2.00 1.00 ....log2 p: 2, n: 10, deg: 32 | 0.00 0.00 16.00 4.00 ....log2 p: 2, n: 30, deg: 32 | 0.00 0.00 88.00 39.00 ....log2 p: 2, n: 100, deg: 32 | 5.00 5.00 788.00 305.00 ....log2 p: 4, n: 2, deg: 32 | 1.00 1.00 6.00 9.00 ....log2 p: 4, n: 10, deg: 32 | 1.00 1.00 64.00 85.00 ....log2 p: 4, n: 30, deg: 32 | 3.00 3.00 612.00 753.00 ....log2 p: 4, n: 100, deg: 32 | 32.00 32.00 3385.00 4687.00 ....log2 p: 14, n: 2, deg: 32 | 1.00 1.00 12.00 20.00 ....log2 p: 14, n: 10, deg: 32 | 2.00 1.00 177.00 215.00 ....log2 p: 14, n: 30, deg: 32 | 2.00 2.00 1415.00 1771.00 ....log2 p: 14, n: 100, deg: 32 | 81.00 81.00 9339.00 11772.00 ....log2 p: 30, n: 2, deg: 32 | 2.00 2.00 34.00 41.00 ....log2 p: 30, n: 10, deg: 32 | 2.00 3.00 476.00 606.00 ....log2 p: 30, n: 30, deg: 32 | 14.00 14.00 3027.00 3752.00 ....log2 p: 30, n: 100, deg: 32 | 218.00 218.00 19932.00 26597.00 ....log2 p: 32, n: 2, deg: 32 | 5.00 5.00 47.00 62.00 ....log2 p: 32, n: 10, deg: 32 | 6.00 6.00 820.00 1032.00 ....log2 p: 32, n: 30, deg: 32 | 33.00 33.00 6912.00 8071.00 ....log2 p: 32, n: 100, deg: 32 | 82.00 82.00 31052.00 39676.00 ....log2 p: 60, n: 2, deg: 32 | 11.00 12.00 83.00 102.00 ....log2 p: 60, n: 10, deg: 32 | 16.00 17.00 1859.00 2420.00 ....log2 p: 60, n: 30, deg: 32 | 13.00 14.00 12906.00 14332.00 ....log2 p: 60, n: 100, deg: 32 | 1399.00 1401.00 99233.00 126609.00 ....log2 p: 64, n: 2, deg: 32 | 26.00 28.00 388.00 481.00 ....log2 p: 64, n: 10, deg: 32 | 28.00 30.00 3633.00 4580.00 ....log2 p: 64, n: 30, deg: 32 | 122.00 123.00 21390.00 27235.00 ....log2 p: 64, n: 100, deg: 32 | 1294.00 1292.00 120762.00 153029.00 ....log2 p: 199, n: 2, deg: 32 | 173.00 181.00 2233.00 2976.00 ....log2 p: 199, n: 10, deg: 32 | 179.00 187.00 22769.00 31243.00 ....log2 p: 199, n: 30, deg: 32 | 800.00 808.00 129848.00 149421.00 ....log2 p: 199, n: 100, deg: 32 | 236.00 243.00 438317.00 653388.00 time = [0;33m36min, 46,559 ms[0m. Goodbye!