Comparative Timings of GB Computations
Timings of Groebner Bases computations over Z/32003 on Pentium Pro 200.
| Example | SINGULAR | GB | Magma | Macaulay2 | CoCoA | Maple | MMA | |
| version | 2.0 | 1.0 | 4.0 | 2.4 | 0.8 | 3.7 | V.4 | 3.0 |
| Ellipsoid-2 | 99.8 | X [>10] |
X [>10] |
X [>10] |
X [>10] |
X [>10] |
X [>10] |
X [>10] |
| Noon-8 | 123 | X [>8.1] |
X [>8.1] |
X [>8.1] |
587 [4.3] |
X [>8.1] |
X [>10] |
X [>10] |
| f855 | 236 | X [>4.2] |
308 [1.3] |
714 [3.0] |
505 [2.1] |
973 [4.1] |
X [>10] |
X [>10] |
| Ecyclic-7 | 48.3 | 527 [11] |
245 [5.0] |
381 [7.9] |
380 [7.9] |
830 [17] |
X [>21] |
X [>21] |
| DiscrC2 | 14.6 | 174 [12] |
87.0 [5.8] |
148 [10] |
205 [14] |
338 [23] |
X [>70] |
X [>70] |
- Times are in seconds
- [N]: SINGULAR version 2.0 is N times faster
- X: computation did not finish within 1000 seconds
- Details about examples and benchmarks: http://www.polydata.org.