![[MPFR]](../mpfr100.png){kind=small}
| Maple | Mathematica | Sage | GMP MPF | MPFR | PARI | NTL | CLN |
| commercial | commercial | free (GPL) | free (LGPL) | free (LGPL) | free (GPL) | free (GPL) | free (GPL) |
| 12.00 | 6.0.1 | 4.5.2 | 5.0.1 | 3.0.0 | 2.4.2.alpha | 5.5.2 | 1.3.1 |
| interactive | interactive | interactive | library | library | library | library | library |
The following tables give the cpu time in milliseconds spent by several systems or libraries for different operations, at different precisions (in digits). Those timings were obtained on a 24-core Intel Xeon X7460 at 2.66GHz (sage.math.washington.edu) with 717GB of swap and 132GB of RAM under Linux 2.6.24-28-server. The version of GCC is 4.2.4 (Ubuntu 4.2.4-1ubuntu4).
GMP was configured with --disable-shared. MPFR was built with --with-gmp-build, and make tune. PARI was built with GMP support. NTL was built with native support. CLN has been built with GMP support.
An entry "na" means a function not available in the corresponding software tool. The boldface entries are the fastest in each row.
| 100 digits | Maple | Mathematica | Sage | MPF | MPFR | Pari | NTL | CLN |
| mult | 0.0020 | 0.0006 | 0.00053 | 0.00011 | 0.00012 | 0.00013 | 0.000367 | 0.000174 |
| div | 0.0029 | 0.0017 | 0.00076 | 0.00031 | 0.00032 | 0.00034 | 0.00070 | 0.000486 |
| sqrt | 0.032 | 0.0018 | 0.00132 | 0.00055 | 0.00049 | 0.00050 | 0.00442 | 0.00068 |
| exp | 0.070 | 0.019 | 0.0103 | na | 0.0083 | 0.0112 | 0.069 | 0.0194 |
| log | 0.100 | 0.028 | 0.0173 | na | 0.0102 | 0.0120 | 0.386 | 0.0279 |
| sin | 0.131 | 0.017 | 0.0112 | na | 0.0070 | 0.0105 | 0.074 | 0.0250 |
| cos | 0.119 | 0.018 | 0.0078 | na | 0.0052 | 0.0091 | 0.082 | 0.0212 |
| acos | 0.450 | 0.053 | 0.058 | na | 0.044 | 0.028 | na | 0.032 |
| atan | 0.280 | 0.048 | 0.051 | na | 0.037 | 0.026 | na | 0.028 |
| 1000 digits | Maple | Mathematica | Sage | MPF | MPFR | Pari | NTL | CLN |
| mult | 0.0200 | 0.007 | 0.0039 | 0.0036 | 0.0028 | 0.0035 | 0.0137 | 0.0036 |
| div | 0.0200 | 0.015 | 0.0071 | 0.0040 | 0.0058 | 0.0059 | 0.0201 | 0.0079 |
| sqrt | 0.160 | 0.011 | 0.0064 | 0.0049 | 0.0047 | 0.0047 | 0.187 | 0.0063 |
| exp | 0.90 | 0.63 | 0.208 | na | 0.182 | 0.364 | 5.96 | 0.330 |
| log | 0.300 | 0.67 | 0.195 | na | 0.161 | 0.204 | 48.1 | 0.400 |
| sin | 1.89 | 0.41 | 0.210 | na | 0.192 | 0.310 | 6.78 | 0.288 |
| cos | 1.91 | 0.40 | 0.190 | na | 0.181 | 0.298 | 6.98 | 0.269 |
| acos | 2.50 | 0.82 | 0.81 | na | 0.38 | 0.75 | na | 0.48 |
| atan | 2.10 | 0.80 | 0.70 | na | 0.36 | 0.74 | na | 0.45 |
| 10000 digits | Maple | Mathematica | Sage | MPF | MPFR | Pari | NTL | CLN |
| mult | 0.80 | 0.28 | 0.11 | 0.107 | 0.095 | 0.109 | 0.508 | 0.107 |
| div | 0.80 | 0.56 | 0.28 | 0.198 | 0.261 | 0.264 | 1.662 | 0.454 |
| sqrt | 3.70 | 0.36 | 0.224 | 0.179 | 0.176 | 0.176 | 20.48 | 0.295 |
| exp | 50.0 | 17.6 | 9.6 | na | 9.1 | 12.5 | 1560 | 13.4 |
| log | 20.0 | 15.9 | 7.6 | na | 7.2 | 8.3 | 16080 | 16.7 |
| sin | 93.0 | 44.4 | 17.3 | na | 15.6 | 21.7 | 1650 | 17.8 |
| cos | 92.0 | 44.4 | 17.1 | na | 15.7 | 21.0 | 7710 | 16.7 |
| acos | 87.0 | 91.2 | 29.4 | na | 16.8 | 31.7 | na | 28.6 |
| atan | 82.0 | 87.2 | 26.4 | na | 15.3 | 30.2 | na | 27.0 |
The source file of these tests is available for Maple, Mathematica, Sage, MPF, MPFR, Pari, NTL, CLN.
Please acknowledge "National Science Foundation Grant No. DMS-0821725" in any published work that uses this computer.