3 Timings on Linux i486 33 MHz
7 Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
8 multiplication 0.00046 0.00042 0.001 0.00042
9 division 0.00041 0.00034 0.001 0.00033
10 isqrt 0.026 0.00013 0.002 0.00013
11 gcd 0.00595 0.00170 0.009 0.00169
15 Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
16 multiplication 0.022 0.019 0.2 0.019
17 division 0.021 0.019 0.15 0.019
18 isqrt 6.49 0.002 0.1 0.002
19 gcd 0.166 0.070 0.5 0.071
23 Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
24 multiplication 2.22 0.72 7 0.72
25 division 1.98 1.39 3.8 1.38
26 isqrt 5509 0.17 12.1 0.17
31 Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
37 Timings on Darwin PowerPC G4 1066 MHz
41 Function CLN-1.1.8 CLN-1.1.8
43 multiplication 0.0000069 0.0000066
44 division 0.0000047 0.0000047
45 isqrt 0.0000024 0.0000024
46 gcd 0.0000163 0.0000163
50 Function CLN-1.1.8 CLN-1.1.8
52 multiplication 0.000197 0.000192
53 division 0.000179 0.000179
54 isqrt 0.000021 0.000021
59 Function CLN-1.1.8 CLN-1.1.8
61 multiplication 0.0082 0.0081
62 division 0.0156 0.0155
68 Function CLN-1.1.8 CLN-1.1.8
70 multiplication 0.087 0.087
78 Timings on Linux i486 33 MHz
80 LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
85 Timings on Darwin PowerPC G4 1066 MHz
87 Function CLN-1.1.8 CLN-1.1.8
93 Timings on Linux i486 33 MHz
97 Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
98 multiplication 0.00054 0.00058 0.000 0.00026
99 sqrt 0.0033 0.0040 0.002 0.00028
101 eulerconst 0.27 0.40 0.12 0.17
103 exp 0.021 0.025 0.012 0.014
104 log 0.041 0.051 0.021 0.014
105 sin 0.021 0.028 0.014 0.013
106 cos 0.021 0.027 0.012 0.012
107 asin 0.072 0.081 0.047 0.015
108 acos 0.073 0.081 0.048 0.016
109 atan 0.067 0.076 0.039 0.014
110 sinh 0.022 0.025 0.012 0.014
111 cosh 0.022 0.025 0.012 0.014
112 asinh 0.045 0.056 0.026 0.013
113 acosh 0.048 0.060 0.029 0.015
114 atanh 0.049 0.061 0.028 0.015
118 Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
119 multiplication 0.013 0.010 0.018 0.010
120 sqrt 0.048 0.042 0.049 0.011
121 pi 0.28 0.25 0.174 0.12
122 eulerconst 10.0 9.4 7.6 4.6
123 e 0.12 0.09 1.19 0.06
124 exp 1.11 0.73 1.33 0.70
125 log 1.48 1.28 1.81 0.65
126 sin 0.76 0.66 1.56 0.51
127 cos 0.75 0.65 1.62 0.49
128 asin 3.03 2.52 4.10 0.84
129 acos 3.03 2.52 4.10 0.84
130 atan 2.93 2.44 3.96 0.79
131 sinh 1.11 0.73 1.31 0.71
132 cosh 1.11 0.73 1.31 0.71
133 asinh 1.60 1.40 1.89 0.65
134 acosh 1.65 1.44 1.98 0.73
135 atanh 1.60 1.40 1.88 0.69
139 Function LiDIA/libI LiDIA/cln Pari CLN-1997-02-08
140 multiplication 0.51 0.36 1.75 0.37
141 sqrt 4.58 3.36 5.6 0.95
142 pi 23.8 17.8 16.7 6.0
143 eulerconst 1045 817 1128 327
145 exp 130 75.1 373 40.2
147 sin 83.6 61.9 475 53.4
148 cos 83.5 61.7 474 52.1
149 asin 866 567 1281 72.4
150 acos 865 567 1282 72.4
151 atan 860 561 1274 69.9
152 sinh 130 75.1 378 41.5
153 cosh 129 75.1 377 41.4
154 asinh 313 232 578 31.1
155 acosh 311 231 583 36.9
156 atanh 314 233 573 36.6
160 Function LiDIA/libI LiDIA/cln Pari CLN-1996-11-17
161 multiplication 19.3 4.63 4.58
180 LiDIA 1.2.1 with libI
181 LiDIA 1.2.1 with cln-1996-11-17 (based on gmp 2.0.2)
183 cln-1997-02-08 and cln-1996-11-17 (both based on gmp 2.0.2)