A Tour of NTL: Some Performance Data
Here are some timing figures from using NTL. They were obtained using NTL 9.6.3 compiled with g++ 4.9.2 and with GMP 6.1 on a 2.5GHz Intel Haswell processor running Linux.
All times are ins seconds. The times were obtained using the program Timing included in the distribution. The data was generated using NTL's random number generator, but running this on a different machine should (in theory) generate the same data.
NOTE: that the PRG changed in v9.4.0, so there may be some inconsistencies.
multiply 1000-bit ints: 2.09304e-07 remainder 2000/1000-bit ints: 3.85453e-07 gcd 1000-bit ints: 3.16825e-06 multiply degree-1000 poly mod 1000-bit prime: 0.00492108 remainder degree-2000/1000 poly mod 1000-bit prime: 0.0142035 preconditioned remainder degree-2000/1000 poly mod 1000-bit prime: 0.00498239 gcd degree-1000 poly mod 1000-bit prime: 0.138828 multiply degree-1000 int poly with 1000-bit coeffs: 0.00919382 factoring degree-1000 poly mod 1000-bit prime... square-free decomposition...0.139174 factoring multiplicity 1, deg = 1000 computing X^p...8.18452 computing DDF...generating baby steps...+++++++++++++++++++++7.24814 generating giant steps...++++++++++++++++++++++7.57509 giant refine...++++split 1 1 split 2 26 *++++*++++*++++*++++*++*split 0 973 giant refine time: 5.43868 baby refine...split 1 1 split 26 26 split 973 973 baby refine time: 3.5e-05 DDF time: 20.2627 ...total time = 28.596 multiply 500-bit GF2Xs: 6.07628e-08 remainder 1000/500-bit GF2Xs: 2.605e-06 gcd 500-bit GF2Xs: 4.00145e-06 factoring degree-500 GF2X: 0.000177292 gcd 500-bit GF2X: 3.99635e-06 multiply degree-500 poly mod 500-bit GF2X: 0.0027215 remainder degree-1000/500 poly mod 500-bit GF2X: 0.00981861 preconditioned remainder degree-1000/500 poly mod 500-bit GF2X: 0.00547851 gcd degree-500 poly mod 500-bit GF2X: 0.0526317 factoring degree-500 poly mod 500-bit GF2X... square-free decomposition...0.004987 factoring multiplicity 1, deg = 250 computing X^p...0.528441 computing DDF...generating baby steps...++++++++++0.361397 generating giant steps...+++++++++++0.389211 giant refine...++++split 1 9 split 2 13 split 4 44 *++++split 7 73 *split 0 111 giant refine time: 0.253624 baby refine...split 9 9 split 13 13 split 44 44 split 73 73 split 111 111 baby refine time: 0.001397 DDF time: 1.00566 ...total time = 1.5405