A Tour of NTL: Some Performance Data

Here are some timing figures from using NTL.
They were obtained using NTL 8.1 compiled with `g++` 4.2.1
and with GMP 5.1 on a 2.8GHz Intel Core 2 Duo running on Max OSX 10.6.8.

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: 4.47705e-07 remainder 2000/1000-bit ints: 8.39264e-07 gcd 1000-bit ints: 1.00414e-05 multiply degree-1000 poly mod 1000-bit prime: 0.0153934 remainder degree-2000/1000 poly mod 1000-bit prime: 0.0433238 preconditioned remainder degree-2000/1000 poly mod 1000-bit prime: 0.0157501 gcd degree-1000 poly mod 1000-bit prime: 0.368628 multiply degree-1000 int poly with 1000-bit coeffs: 0.0159159 factoring degree-1000 poly mod 1000-bit prime... square-free decomposition...0.370933 factoring multiplicity 1, deg = 1000 computing X^p...24.9979 computing DDF...generating baby steps...+++++++++++++++++++++17.5707 generating giant steps...++++++++++++++++++++++18.3577 giant refine...++++split 1 43 split 2 38 split 3 64 *++++split 5 108 *++++split 11 237 split 12 510 *giant refine time: 9.15376 baby refine...split 3 6 split 6 6 split 9 9 split 22 22 split 38 38 split 64 64 split 108 108 split 237 237 split 248 248 split 262 262 baby refine time: 0.670223 DDF time: 45.7607 computing EDF(3,2)...+0.077173 ...total time = 71.2393 multiply 500-bit GF2Xs: 1.02584e-06 remainder 1000/500-bit GF2Xs: 6.37183e-06 gcd 500-bit GF2Xs: 1.19604e-05 factoring degree-500 GF2X: 0.00109244 gcd 500-bit GF2X: 1.19249e-05 multiply degree-500 poly mod 500-bit GF2X: 0.0246363 remainder degree-1000/500 poly mod 500-bit GF2X: 0.088353 preconditioned remainder degree-1000/500 poly mod 500-bit GF2X: 0.0492548 gcd degree-500 poly mod 500-bit GF2X: 0.554616 factoring degree-500 poly mod 500-bit GF2X... square-free decomposition...0.038065 factoring multiplicity 1, deg = 250 computing X^p...4.93778 computing DDF...generating baby steps...++++++++++3.50973 generating giant steps...+++++++++++3.78204 giant refine...++++*++++split 6 59 split 7 68 *split 0 123 giant refine time: 2.58842 baby refine...split 59 59 split 68 68 split 123 123 baby refine time: 3.3e-05 DDF time: 9.88039 ...total time = 14.8705