![[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 | 3.2.3 | 4.2.2 | 2.4.0 | 2.4.2.alpha | 5.4.2 | 1.2.2 |
| 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 2.6.24-19-server. The version of GCC is 4.2.4 (Ubuntu 4.2.4-1ubuntu3).
GMP has been built with Gaudry's AMD64 patch. 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 and with the following patch.
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 | 0.00045 | 0.00016 | 0.00014 | 0.00012 | 0.000362 | 0.000223 |
| div | 0.0029 | 0.0017 | 0.00074 | 0.00051 | 0.00039 | 0.00040 | 0.00072 | 0.000567 |
| sqrt | 0.032 | 0.0018 | 0.00124 | 0.00072 | 0.00055 | 0.00059 | 0.00450 | 0.00079 |
| exp | 0.070 | 0.019 | 0.0103 | na | 0.0079 | 0.0126 | 0.070 | 0.0232 |
| log | 0.100 | 0.028 | 0.0155 | na | 0.0124 | 0.0134 | 0.388 | 0.0305 |
| sin | 0.131 | 0.017 | 0.0118 | na | 0.0087 | 0.0121 | 0.075 | 0.0283 |
| cos | 0.119 | 0.018 | 0.0081 | na | 0.0067 | 0.0105 | 0.081 | 0.0249 |
| acos | 0.450 | 0.053 | 0.065 | na | 0.061 | 0.034 | na | 0.036 |
| atan | 0.280 | 0.048 | 0.057 | na | 0.053 | 0.032 | na | 0.031 |
| 1000 digits | Maple | Mathematica | Sage | MPF | MPFR | Pari | NTL | CLN |
| mult | 0.0200 | 0.007 | 0.0040 | 0.0049 | 0.0035 | 0.0048 | 0.0136 | 0.0053 |
| div | 0.0200 | 0.015 | 0.0082 | 0.0080 | 0.0079 | 0.0077 | 0.0198 | 0.0085 |
| sqrt | 0.160 | 0.011 | 0.0072 | 0.0066 | 0.0061 | 0.0061 | 0.184 | 0.0067 |
| exp | 0.90 | 0.63 | 0.251 | na | 0.243 | 0.469 | 5.92 | 0.449 |
| log | 0.300 | 0.67 | 0.211 | na | 0.203 | 0.266 | 47.74 | 0.469 |
| sin | 1.89 | 0.41 | 0.260 | na | 0.254 | 0.398 | 6.67 | 0.381 |
| cos | 1.91 | 0.40 | 0.246 | na | 0.247 | 0.383 | 6.94 | 0.349 |
| acos | 2.50 | 0.82 | 0.95 | na | 0.94 | 0.94 | na | 0.59 |
| atan | 2.10 | 0.80 | 0.86 | na | 0.84 | 0.89 | na | 0.56 |
| 10000 digits | Maple | Mathematica | Sage | MPF | MPFR | Pari | NTL | CLN |
| mult | 0.80 | 0.28 | 0.155 | 0.172 | 0.151 | 0.175 | 0.513 | 0.222 |
| div | 0.80 | 0.56 | 0.373 | 0.369 | 0.364 | 0.369 | 1.662 | 0.547 |
| sqrt | 3.70 | 0.36 | 0.236 | 0.236 | 0.233 | 0.233 | 20.48 | 0.339 |
| exp | 50.0 | 17.6 | 14.7 | na | 14.3 | 17.6 | 1550 | 18.1 |
| log | 20.0 | 15.9 | 10.4 | na | 10.0 | 11.3 | 16060 | 21.1 |
| sin | 93.0 | 44.4 | 25.7 | na | 24.8 | 33.2 | 1670 | 31.6 |
| cos | 92.0 | 44.4 | 25.2 | na | 24.4 | 32.9 | 7570 | 30.2 |
| acos | 87.0 | 91.2 | 45.9 | na | 43.9 | 44.8 | na | 39.7 |
| atan | 82.0 | 87.2 | 41.8 | na | 40.6 | 44.2 | na | 38.1 |
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.