A Tour of NTL: Some Performance Data

Here are some timing figures from using NTL.
They were obtained using NTL 9.6.0 compiled with `g++` 4.2.1
and with GMP 6.1 on a 2.4GHz Intel Core 2 Duo running on Max OSX 10.7.5.

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: 5.01944e-07 remainder 2000/1000-bit ints: 1.00661e-06 gcd 1000-bit ints: 1.4468e-05 multiply degree-1000 poly mod 1000-bit prime: 0.0135032 remainder degree-2000/1000 poly mod 1000-bit prime: 0.0384725 preconditioned remainder degree-2000/1000 poly mod 1000-bit prime: 0.0138238 gcd degree-1000 poly mod 1000-bit prime: 0.349662 multiply degree-1000 int poly with 1000-bit coeffs: 0.0225321 factoring degree-1000 poly mod 1000-bit prime... square-free decomposition...0.350224 factoring multiplicity 1, deg = 1000 computing X^p...22.542 computing DDF...generating baby steps...+++++++++++++++++++++18.1148 generating giant steps...++++++++++++++++++++++18.8901 giant refine...++++split 1 1 split 2 26 *++++*++++*++++*++++*++*split 0 973 giant refine time: 14.757 baby refine...split 1 1 split 26 26 split 973 973 baby refine time: 0.000113 DDF time: 51.7706 ...total time = 74.6882 multiply 500-bit GF2Xs: 1.30174e-06 remainder 1000/500-bit GF2Xs: 8.41598e-06 gcd 500-bit GF2Xs: 1.53247e-05 factoring degree-500 GF2X: 0.00129122 gcd 500-bit GF2X: 1.52925e-05 multiply degree-500 poly mod 500-bit GF2X: 0.0314531 remainder degree-1000/500 poly mod 500-bit GF2X: 0.111864 preconditioned remainder degree-1000/500 poly mod 500-bit GF2X: 0.0625321 gcd degree-500 poly mod 500-bit GF2X: 0.692733 factoring degree-500 poly mod 500-bit GF2X... square-free decomposition...0.047487 factoring multiplicity 1, deg = 250 computing X^p...6.22461 computing DDF...generating baby steps...++++++++++4.43465 generating giant steps...+++++++++++4.78364 giant refine...++++split 1 9 split 2 13 split 4 44 *++++split 7 73 *split 0 111 giant refine time: 2.96613 baby refine...split 9 9 split 13 13 split 44 44 split 73 73 split 111 111 baby refine time: 0.0194 DDF time: 12.204 ...total time = 18.4939