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183 lines
7.4 KiB
183 lines
7.4 KiB
A.
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Timings on Linux i486 33 MHz
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N=100
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Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
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multiplication 0.00046 0.00042 0.001 0.00042
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division 0.00041 0.00034 0.001 0.00033
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isqrt 0.026 0.00013 0.002 0.00013
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gcd 0.00595 0.00170 0.009 0.00169
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N=1000
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Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
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multiplication 0.022 0.019 0.2 0.019
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division 0.021 0.019 0.15 0.019
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isqrt 6.49 0.002 0.1 0.002
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gcd 0.166 0.070 0.5 0.071
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N=10000
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Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
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multiplication 2.22 0.72 7 0.72
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division 1.98 1.39 3.8 1.38
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isqrt 5509 0.17 12.1 0.17
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gcd 38.9 5.4 --- 5.4
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N=100000
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Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
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multiplication 6.9
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division 20.4
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isqrt 10.2
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gcd 428
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Timings on Darwin PowerPC G4 1066 MHz
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N = 100
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Function CLN-1.1.8 CLN-1.1.8
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no gmp gmp-4.1.2
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multiplication 0.0000069 0.0000066
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division 0.0000047 0.0000047
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isqrt 0.0000024 0.0000024
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gcd 0.0000163 0.0000163
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N = 1000
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Function CLN-1.1.8 CLN-1.1.8
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no gmp gmp-4.1.2
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multiplication 0.000197 0.000192
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division 0.000179 0.000179
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isqrt 0.000021 0.000021
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gcd 0.000603 0.000600
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N = 10000
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Function CLN-1.1.8 CLN-1.1.8
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no gmp gmp-4.1.2
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multiplication 0.0082 0.0081
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division 0.0156 0.0155
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isqrt 0.0009 0.0010
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gcd 0.0449 0.0445
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N = 100000
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Function CLN-1.1.8 CLN-1.1.8
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no gmp gmp-4.1.2
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multiplication 0.087 0.087
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division 0.27 0.27
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isqrt 0.132 0.133
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gcd 3.28 3.26
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A'.
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Timings on Linux i486 33 MHz
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LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
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N=100 0.2 0.07
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N=200 1.4 0.70
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N=1000 525 271
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Timings on Darwin PowerPC G4 1066 MHz
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Function CLN-1.1.8 CLN-1.1.8
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no gmp gmp-4.1.2
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N=1000 2.72 2.74
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B.
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Timings on Linux i486 33 MHz
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N=100
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Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
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multiplication 0.00054 0.00058 0.000 0.00026
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sqrt 0.0033 0.0040 0.002 0.00028
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pi 0.01 0.02 0.005 0
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eulerconst 0.27 0.40 0.12 0.17
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e 0.02 0.01 0.011 0
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exp 0.021 0.025 0.012 0.014
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log 0.041 0.051 0.021 0.014
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sin 0.021 0.028 0.014 0.013
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cos 0.021 0.027 0.012 0.012
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asin 0.072 0.081 0.047 0.015
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acos 0.073 0.081 0.048 0.016
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atan 0.067 0.076 0.039 0.014
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sinh 0.022 0.025 0.012 0.014
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cosh 0.022 0.025 0.012 0.014
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asinh 0.045 0.056 0.026 0.013
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acosh 0.048 0.060 0.029 0.015
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atanh 0.049 0.061 0.028 0.015
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N=1000
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Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
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multiplication 0.013 0.010 0.018 0.010
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sqrt 0.048 0.042 0.049 0.011
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pi 0.28 0.25 0.174 0.12
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eulerconst 10.0 9.4 7.6 4.6
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e 0.12 0.09 1.19 0.06
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exp 1.11 0.73 1.33 0.70
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log 1.48 1.28 1.81 0.65
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sin 0.76 0.66 1.56 0.51
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cos 0.75 0.65 1.62 0.49
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asin 3.03 2.52 4.10 0.84
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acos 3.03 2.52 4.10 0.84
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atan 2.93 2.44 3.96 0.79
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sinh 1.11 0.73 1.31 0.71
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cosh 1.11 0.73 1.31 0.71
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asinh 1.60 1.40 1.89 0.65
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acosh 1.65 1.44 1.98 0.73
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atanh 1.60 1.40 1.88 0.69
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N=10000
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Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
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multiplication 0.51 0.36 1.75 0.37
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sqrt 4.58 3.36 5.6 0.95
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pi 23.8 17.8 16.7 6.0
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eulerconst 1045 817 1128 327
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e 5.5 3.30 360 2.39
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exp 130 75.1 373 40.2
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log 301 224 562 32.3
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sin 83.6 61.9 475 53.4
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cos 83.5 61.7 474 52.1
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asin 866 567 1281 72.4
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acos 865 567 1282 72.4
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atan 860 561 1274 69.9
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sinh 130 75.1 378 41.5
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cosh 129 75.1 377 41.4
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asinh 313 232 578 31.1
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acosh 311 231 583 36.9
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atanh 314 233 573 36.6
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N=100000
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Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
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multiplication 19.3 4.63 4.58
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sqrt 298 55.8 19.5
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pi 199 122
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eulerconst 6952
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e 42
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exp 860
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log 735
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sin 1483
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cos 1571
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asin 1440
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acos 1441
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atan 1407
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sinh 877
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cosh 877
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asinh 758
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acosh 813
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atanh 813
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Versions:
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LiDIA 1.2.1 with libI
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LiDIA 1.2.1 with cln-1996-11-17 (based on gmp 2.0.2)
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Pari 1.39
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cln-1997-02-08 and cln-1996-11-17 (both based on gmp 2.0.2)
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