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A.
Timings on Linux i486 33 MHz
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
Timings on Darwin PowerPC G4 1066 MHz
N = 100
Function CLN-1.1.8 CLN-1.1.8 no gmp gmp-4.1.2 multiplication 0.0000069 0.0000066 division 0.0000047 0.0000047 isqrt 0.0000024 0.0000024 gcd 0.0000163 0.0000163
N = 1000
Function CLN-1.1.8 CLN-1.1.8 no gmp gmp-4.1.2 multiplication 0.000197 0.000192 division 0.000179 0.000179 isqrt 0.000021 0.000021 gcd 0.000603 0.000600
N = 10000
Function CLN-1.1.8 CLN-1.1.8 no gmp gmp-4.1.2 multiplication 0.0082 0.0081 division 0.0156 0.0155 isqrt 0.0009 0.0010 gcd 0.0449 0.0445
N = 100000
Function CLN-1.1.8 CLN-1.1.8 no gmp gmp-4.1.2 multiplication 0.087 0.087 division 0.27 0.27 isqrt 0.132 0.133 gcd 3.28 3.26
A'.
Timings on Linux i486 33 MHz
LiDIA/libI LiDIA/cln Pari CLN-1996-11-17N=100 0.2 0.07N=200 1.4 0.70N=1000 525 271
Timings on Darwin PowerPC G4 1066 MHz
Function CLN-1.1.8 CLN-1.1.8 no gmp gmp-4.1.2N=1000 2.72 2.74
B.
Timings on Linux i486 33 MHz
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)
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