Timings on Linux i486 33 MHz
A.
N=100
Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
multiplication 0.00046 0.00042 0.001 0.00042
division 0.00041 0.00034 0.001 0.00033
isqrt 0.026 0.00013 0.002 0.00013
gcd 0.00595 0.00170 0.009 0.00169
N=1000
Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
multiplication 0.022 0.019 0.2 0.019
division 0.021 0.019 0.15 0.019
isqrt 6.49 0.002 0.1 0.002
gcd 0.166 0.070 0.5 0.071
N=10000
Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
multiplication 2.22 0.72 7 0.72
division 1.98 1.39 3.8 1.38
isqrt 5509 0.17 12.1 0.17
gcd 38.9 5.4 --- 5.4
N=100000
Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
multiplication 6.9
division 20.4
isqrt 10.2
gcd 428
A'.
LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
N=100 0.2 0.07
N=200 1.4 0.70
N=1000 525 271
B.
N=100
Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
multiplication 0.00054 0.00058 0.000 0.00026
sqrt 0.0033 0.0040 0.002 0.00028
pi 0.01 0.02 0.005 0
eulerconst 0.27 0.40 0.12 0.17
e 0.02 0.01 0.011 0
exp 0.021 0.025 0.012 0.014
log 0.041 0.051 0.021 0.014
sin 0.021 0.028 0.014 0.013
cos 0.021 0.027 0.012 0.012
asin 0.072 0.081 0.047 0.015
acos 0.073 0.081 0.048 0.016
atan 0.067 0.076 0.039 0.014
sinh 0.022 0.025 0.012 0.014
cosh 0.022 0.025 0.012 0.014
asinh 0.045 0.056 0.026 0.013
acosh 0.048 0.060 0.029 0.015
atanh 0.049 0.061 0.028 0.015
N=1000
Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
multiplication 0.013 0.010 0.018 0.010
sqrt 0.048 0.042 0.049 0.011
pi 0.28 0.25 0.174 0.12
eulerconst 10.0 9.4 7.6 4.6
e 0.12 0.09 1.19 0.06
exp 1.11 0.73 1.33 0.70
log 1.48 1.28 1.81 0.65
sin 0.76 0.66 1.56 0.51
cos 0.75 0.65 1.62 0.49
asin 3.03 2.52 4.10 0.84
acos 3.03 2.52 4.10 0.84
atan 2.93 2.44 3.96 0.79
sinh 1.11 0.73 1.31 0.71
cosh 1.11 0.73 1.31 0.71
asinh 1.60 1.40 1.89 0.65
acosh 1.65 1.44 1.98 0.73
atanh 1.60 1.40 1.88 0.69
N=10000
Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
multiplication 0.51 0.36 1.75 0.37
sqrt 4.58 3.36 5.6 0.95
pi 23.8 17.8 16.7 6.0
eulerconst 1045 817 1128 327
e 5.5 3.30 360 2.39
exp 130 75.1 373 40.2
log 301 224 562 32.3
sin 83.6 61.9 475 53.4
cos 83.5 61.7 474 52.1
asin 866 567 1281 72.4
acos 865 567 1282 72.4
atan 860 561 1274 69.9
sinh 130 75.1 378 41.5
cosh 129 75.1 377 41.4
asinh 313 232 578 31.1
acosh 311 231 583 36.9
atanh 314 233 573 36.6
N=100000
Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
multiplication 19.3 4.63 4.58
sqrt 298 55.8 19.5
pi 199 122
eulerconst 6952
e 42
exp 860
log 735
sin 1483
cos 1571
asin 1440
acos 1441
atan 1407
sinh 877
cosh 877
asinh 758
acosh 813
atanh 813
Versions:
LiDIA 1.2.1 with libI
LiDIA 1.2.1 with cln-1996-11-17 (based on gmp 2.0.2)
Pari 1.39
cln-1997-02-08 and cln-1996-11-17 (both based on gmp 2.0.2)