A Tour of NTL: Some Performance Data
Here are some timing figures from using NTL. They were obtained using NTL 11.0.0 compiled with g++ 4.8.5 and with GMP 6.1 on a 2.3GHz Intel Haswell processor (E5-2698 v3) 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.
multiply 1000-bit ints: 1.77435e-07 square 1000-bit ints: 1.07467e-07 remainder 2000/1000-bit ints: 3.60989e-07 gcd 1000-bit ints: 2.85212e-06 xgcd 1000-bit ints: 4.39055e-06 power mod 1000-bit ints: 0.000424867 multiply degree-1000 poly mod 1000-bit prime: 0.00409039 remainder degree-2000/1000 poly mod 1000-bit prime: 0.0119471 preconditioned remainder degree-2000/1000 poly mod 1000-bit prime: 0.00417065 gcd degree-1000 poly mod 1000-bit prime: 0.118674 multiply degree-1000 int poly with 1000-bit coeffs: 0.00582299 factoring degree-1000 poly mod 1000-bit prime... square-free decomposition...0.118535 factoring multiplicity 1, deg = 1000 computing X^p...6.87595 computing DDF...generating baby steps...+++++++++++++++++++++2.72866 generating giant steps...++++++++++++++++++++++2.82147 giant refine...++++split 1 18 *++++*++++*++++*++++split 17 355 *split 0 627 giant refine time: 4.10968 baby refine...split 1 1 split 8 8 split 9 9 split 355 355 split 627 627 baby refine time: 0.036778 DDF time: 9.70113 ...total time = 16.7036 multiply 500-bit GF2Xs: 5.35842e-08 remainder 1000/500-bit GF2Xs: 8.24988e-07 gcd 500-bit GF2Xs: 3.55214e-06 factoring degree-500 GF2X: 0.000149589 gcd 500-bit GF2X: 3.54077e-06 multiply degree-500 poly mod 500-bit GF2X: 0.0024216 remainder degree-1000/500 poly mod 500-bit GF2X: 0.00871277 preconditioned remainder degree-1000/500 poly mod 500-bit GF2X: 0.00488511 gcd degree-500 poly mod 500-bit GF2X: 0.0447275 factoring degree-500 poly mod 500-bit GF2X... square-free decomposition...0.00438 factoring multiplicity 1, deg = 250 computing X^p...0.466925 computing DDF...generating baby steps...++++++++++0.319649 generating giant steps...+++++++++++0.344317 giant refine...++++split 1 9 split 2 13 split 4 44 *++++split 7 73 *split 0 111 giant refine time: 0.224187 baby refine...split 9 9 split 13 13 split 44 44 split 73 73 split 111 111 baby refine time: 0.001257 DDF time: 0.889446 ...total time = 1.36354