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