[Previous] [Up] [Next]

A Tour of NTL: Some Performance Data


Here are some timing figures from using NTL. They were obtained using NTL 9.6.2 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: 5.02504e-07
remainder 2000/1000-bit ints: 1.00513e-06
gcd 1000-bit ints: 1.4485e-05
multiply degree-1000 poly mod 1000-bit prime: 0.0131606
remainder degree-2000/1000 poly mod 1000-bit prime: 0.0381163
preconditioned remainder degree-2000/1000 poly mod 1000-bit prime: 0.0135755
gcd degree-1000 poly mod 1000-bit prime: 0.345835
multiply degree-1000 int poly with 1000-bit coeffs: 0.0225677

factoring degree-1000 poly mod 1000-bit prime...
square-free decomposition...0.346712
factoring multiplicity 1, deg = 1000
computing X^p...22.2213
computing DDF...generating baby steps...+++++++++++++++++++++18.0226
generating giant steps...++++++++++++++++++++++18.8124
giant refine...++++split 1 1
split 2 26
*++++*++++*++++*++++*++*split 0 973
giant refine time: 14.5554
baby refine...split 1 1
split 26 26
split 973 973
baby refine time: 0.000109
DDF time: 51.3992
...total time = 73.9925

multiply 500-bit GF2Xs: 1.29482e-06
remainder 1000/500-bit GF2Xs: 8.38771e-06
gcd 500-bit GF2Xs: 1.54409e-05

factoring degree-500 GF2X: 0.00131092
gcd 500-bit GF2X: 1.54394e-05
multiply degree-500 poly mod 500-bit GF2X: 0.030962
remainder degree-1000/500 poly mod 500-bit GF2X: 0.111182
preconditioned remainder degree-1000/500 poly mod 500-bit GF2X: 0.0622763
gcd degree-500 poly mod 500-bit GF2X: 0.690277

factoring degree-500 poly mod 500-bit GF2X...
square-free decomposition...0.047294
factoring multiplicity 1, deg = 250
computing X^p...6.20889
computing DDF...generating baby steps...++++++++++4.41372
generating giant steps...+++++++++++4.75237
giant refine...++++split 1 9
split 2 13
split 4 44
*++++split 7 73
*split 0 111
giant refine time: 2.94889
baby refine...split 9 9
split 13 13
split 44 44
split 73 73
split 111 111
baby refine time: 0.019359
DDF time: 12.1345

...total time = 18.4086


[Previous] [Up] [Next]