Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 161 | 736 | 1930 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 5.01 | 13.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.579 | 0.156 | 77.109 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 276 | 267 | 946 | 5175 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 3.43 | 18.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.570 | 0.278 | 75.809 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 356 | 334 | 1111 | 6432 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.94 | 3.12 | 18.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.788 | 0.283 | 76.385 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 630 | 627 | 1128 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.107 | 0.296 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 546 | 553 | 993 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.926 | 0.218 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 478 | 476 | 917 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.738 | 0.258 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 571 | 560 | 1083 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.979 | 0.277 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 514 | 517 | 1911 | 21242 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 3.72 | 41.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.063 | 0.317 | 0.086 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 194 | 1348 | 5816 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 7.45 | 32.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.678 | 0.222 | 308.503 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 451 | 434 | 2248 | 22905 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 4.98 | 50.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.799 | 0.576 | 291.582 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 1092 | 1085 | 2544 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 2.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.720 | 0.581 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 977 | 988 | 2302 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 2.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.546 | 0.459 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 879 | 879 | 2166 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.186 | 0.461 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 1007 | 989 | 2488 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 2.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.610 | 0.555 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 403 | 388 | 434 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.602 | 0.357 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 304 | 336 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.502 | 0.267 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 203 | 218 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.386 | 0.181 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 130 | 186 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.488 | 0.162 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 248 | 239 | 250 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.453 | 0.242 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 346 | 331 | 359 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.540 | 0.297 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 434 | 417 | 457 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.655 | 0.360 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 750 | 764 | 1319 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.127 | 0.582 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 598 | 627 | 960 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.937 | 0.325 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 405 | 452 | 718 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.12 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.729 | 0.260 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 159 | 263 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 1.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.591 | 0.161 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 441 | 536 | 821 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.22 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.903 | 0.338 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 608 | 693 | 1078 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.14 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.074 | 0.423 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 907 | 935 | 1968 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 2.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.472 | 0.497 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 639 | 678 | 1522 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 2.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.126 | 0.488 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 191 | 403 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 2.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.696 | 0.266 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 673 | 779 | 976 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.16 | 1.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.425 | 0.705 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 914 | 1011 | 1549 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 1.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.709 | 1.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 367 | 354 | 394 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.550 | 0.289 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 283 | 274 | 296 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.474 | 0.217 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 199 | 192 | 145 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.390 | 0.292 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 299 | 326 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.502 | 0.270 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 394 | 379 | 422 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.583 | 0.301 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | B | N/A | N/A | N/A | F(-1) | N/A | N/A |
| verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 304 | 28 | 276 | 36 | 0 | 30 | 30 |
| N.S. |
1 | 1.00 | 10.86 | 1.00 | 9.86 | 1.29 | 0.00 | 1.07 | 1.07 |
| time (sec) |
N/A | 0.181 | 0.332 | 0.122 | 0.306 | 0.281 | 0.000 | 0.974 | 1.184 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | B | F(-2) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 185 | 204 | 1395 | 0 | 0 | 765 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 7.54 | 0.00 | 0.00 | 4.14 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.798 | 0.375 | 0.000 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | B | F(-2) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 150 | 169 | 741 | 0 | 0 | 406 | 0 | 0 | 0 |
| N.S. |
1 | 1.13 | 4.94 | 0.00 | 0.00 | 2.71 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.669 | 0.216 | 0.000 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | A | F(-2) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 133 | 277 | 0 | 0 | 173 | 0 | 0 | 0 |
| N.S. |
1 | 1.17 | 2.43 | 0.00 | 0.00 | 1.52 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.539 | 0.126 | 0.000 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 28 | 30 | 30 | 0 | 30 | 30 |
| N.S. |
1 | 1.00 | 1.07 | 1.00 | 1.07 | 1.07 | 0.00 | 1.07 | 1.07 |
| time (sec) |
N/A | 0.197 | 0.227 | 0.046 | 0.348 | 0.284 | 0.000 | 0.310 | 0.562 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 30 | 28 | 110 | 47 | 0 | 30 | 30 |
| N.S. |
1 | 1.00 | 1.07 | 1.00 | 3.93 | 1.68 | 0.00 | 1.07 | 1.07 |
| time (sec) |
N/A | 0.196 | 5.091 | 0.045 | 0.299 | 0.277 | 0.000 | 0.310 | 0.613 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | B | N/A | N/A | N/A | F(-1) | N/A | N/A |
| verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 26 | 292 | 26 | 151 | 32 | 0 | 28 | 28 |
| N.S. |
1 | 1.00 | 11.23 | 1.00 | 5.81 | 1.23 | 0.00 | 1.08 | 1.08 |
| time (sec) |
N/A | 0.177 | 0.153 | 0.069 | 0.319 | 0.277 | 0.000 | 0.357 | 0.899 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | B | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 24 | 24 | 292 | 24 | 143 | 28 | 24 | 26 | 26 |
| N.S. |
1 | 1.00 | 12.17 | 1.00 | 5.96 | 1.17 | 1.00 | 1.08 | 1.08 |
| time (sec) |
N/A | 0.170 | 0.137 | 0.055 | 0.310 | 0.256 | 175.509 | 0.384 | 0.889 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | B | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 165 | 23 | 129 | 25 | 22 | 25 | 25 |
| N.S. |
1 | 1.00 | 7.17 | 1.00 | 5.61 | 1.09 | 0.96 | 1.09 | 1.09 |
| time (sec) |
N/A | 0.163 | 0.152 | 0.053 | 0.313 | 0.275 | 66.436 | 0.368 | 0.906 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | A | F(-2) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 133 | 277 | 0 | 0 | 173 | 0 | 0 | 0 |
| N.S. |
1 | 1.17 | 2.43 | 0.00 | 0.00 | 1.52 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.523 | 0.141 | 0.000 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | B | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 26 | 282 | 26 | 123 | 28 | 26 | 28 | 28 |
| N.S. |
1 | 1.00 | 10.85 | 1.00 | 4.73 | 1.08 | 1.00 | 1.08 | 1.08 |
| time (sec) |
N/A | 0.177 | 0.125 | 0.307 | 0.330 | 0.275 | 83.210 | 0.353 | 0.917 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | B | N/A | N/A | N/A | F(-1) | N/A | N/A |
| verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 26 | 292 | 26 | 138 | 28 | 0 | 28 | 28 |
| N.S. |
1 | 1.00 | 11.23 | 1.00 | 5.31 | 1.08 | 0.00 | 1.08 | 1.08 |
| time (sec) |
N/A | 0.174 | 0.129 | 0.058 | 0.324 | 0.273 | 0.000 | 0.353 | 0.956 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 433 | 424 | 410 | 0 | 0 | 368 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.95 | 0.00 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.791 | 0.402 | 0.000 | 0.000 | 0.300 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 363 | 356 | 352 | 0 | 0 | 301 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.97 | 0.00 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.634 | 0.393 | 0.000 | 0.000 | 0.300 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 255 | 246 | 268 | 0 | 0 | 196 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 1.05 | 0.00 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.485 | 0.292 | 0.000 | 0.000 | 0.302 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 304 | 298 | 162 | 0 | 0 | 239 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.53 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.539 | 0.362 | 0.000 | 0.000 | 0.294 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 414 | 405 | 302 | 0 | 0 | 338 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.73 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.711 | 0.392 | 0.000 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 484 | 473 | 358 | 0 | 0 | 403 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.74 | 0.00 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.871 | 0.421 | 0.000 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 87 | 71 | 136 | 104 | 134 | 128 | 150 | 82 |
| N.S. |
1 | 1.04 | 0.85 | 1.62 | 1.24 | 1.60 | 1.52 | 1.79 | 0.98 |
| time (sec) |
N/A | 0.269 | 0.050 | 7.391 | 0.194 | 0.260 | 1.754 | 0.292 | 0.663 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 87 | 68 | 132 | 102 | 128 | 126 | 150 | 82 |
| N.S. |
1 | 1.04 | 0.81 | 1.57 | 1.21 | 1.52 | 1.50 | 1.79 | 0.98 |
| time (sec) |
N/A | 0.255 | 0.043 | 2.954 | 0.192 | 0.280 | 0.767 | 0.289 | 0.623 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 75 | 58 | 114 | 82 | 110 | 97 | 111 | 66 |
| N.S. |
1 | 0.97 | 0.75 | 1.48 | 1.06 | 1.43 | 1.26 | 1.44 | 0.86 |
| time (sec) |
N/A | 0.229 | 0.034 | 1.184 | 0.183 | 0.273 | 0.362 | 0.303 | 0.555 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 72 | 103 | 73 | 62 | 0 | 79 | 73 |
| N.S. |
1 | 1.00 | 1.26 | 1.81 | 1.28 | 1.09 | 0.00 | 1.39 | 1.28 |
| time (sec) |
N/A | 0.253 | 0.051 | 1.358 | 0.255 | 0.264 | 0.000 | 0.292 | 0.545 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 72 | 57 | 104 | 94 | 91 | 99 | 100 | 75 |
| N.S. |
1 | 1.00 | 0.79 | 1.44 | 1.31 | 1.26 | 1.38 | 1.39 | 1.04 |
| time (sec) |
N/A | 0.263 | 0.053 | 1.207 | 0.263 | 0.273 | 0.345 | 0.296 | 0.599 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 86 | 64 | 107 | 93 | 95 | 128 | 102 | 83 |
| N.S. |
1 | 1.04 | 0.77 | 1.29 | 1.12 | 1.14 | 1.54 | 1.23 | 1.00 |
| time (sec) |
N/A | 0.273 | 0.059 | 1.214 | 0.213 | 0.306 | 0.833 | 0.302 | 0.655 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 86 | 69 | 85 | 99 | 105 | 129 | 112 | 83 |
| N.S. |
1 | 1.04 | 0.83 | 1.02 | 1.19 | 1.27 | 1.55 | 1.35 | 1.00 |
| time (sec) |
N/A | 0.271 | 0.060 | 1.241 | 0.211 | 0.272 | 1.761 | 0.341 | 0.638 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 196 | 157 | 319 | 250 | 388 | 340 | 480 | 189 |
| N.S. |
1 | 0.95 | 0.76 | 1.54 | 1.21 | 1.87 | 1.64 | 2.32 | 0.91 |
| time (sec) |
N/A | 0.448 | 0.085 | 39.762 | 0.226 | 0.268 | 4.198 | 0.306 | 0.835 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 206 | 193 | 154 | 319 | 247 | 386 | 318 | 471 | 187 |
| N.S. |
1 | 0.94 | 0.75 | 1.55 | 1.20 | 1.87 | 1.54 | 2.29 | 0.91 |
| time (sec) |
N/A | 0.422 | 0.084 | 18.152 | 0.229 | 0.274 | 1.771 | 0.303 | 0.794 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | A | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 141 | 141 | 281 | 213 | 345 | 279 | 399 | 165 |
| N.S. |
1 | 0.96 | 0.96 | 1.91 | 1.45 | 2.35 | 1.90 | 2.71 | 1.12 |
| time (sec) |
N/A | 0.312 | 0.078 | 7.752 | 0.211 | 0.297 | 0.780 | 0.297 | 0.698 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 129 | 170 | 163 | 170 | 0 | 211 | 124 |
| N.S. |
1 | 1.00 | 2.26 | 2.98 | 2.86 | 2.98 | 0.00 | 3.70 | 2.18 |
| time (sec) |
N/A | 0.290 | 0.093 | 8.363 | 0.197 | 0.256 | 0.000 | 0.297 | 0.651 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 173 | 138 | 262 | 221 | 311 | 280 | 345 | 181 |
| N.S. |
1 | 0.96 | 0.76 | 1.45 | 1.22 | 1.72 | 1.55 | 1.91 | 1.00 |
| time (sec) |
N/A | 0.442 | 0.103 | 8.105 | 0.204 | 0.281 | 1.051 | 0.324 | 0.794 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 204 | 193 | 151 | 268 | 224 | 326 | 320 | 355 | 186 |
| N.S. |
1 | 0.95 | 0.74 | 1.31 | 1.10 | 1.60 | 1.57 | 1.74 | 0.91 |
| time (sec) |
N/A | 0.457 | 0.110 | 8.053 | 0.196 | 0.277 | 0.864 | 0.302 | 0.799 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 194 | 155 | 268 | 230 | 329 | 342 | 352 | 190 |
| N.S. |
1 | 0.95 | 0.76 | 1.31 | 1.12 | 1.60 | 1.67 | 1.72 | 0.93 |
| time (sec) |
N/A | 0.460 | 0.111 | 8.134 | 0.208 | 0.260 | 1.778 | 0.296 | 0.846 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | A | F(-1) |
| verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 150 | 93 | 2350 | 0 | 92 | 0 | 219 | 0 |
| N.S. |
1 | 1.06 | 0.66 | 16.67 | 0.00 | 0.65 | 0.00 | 1.55 | 0.00 |
| time (sec) |
N/A | 0.592 | 0.131 | 3.384 | 0.000 | 0.265 | 0.000 | 0.342 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | A | F(-1) |
| verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 150 | 93 | 2350 | 0 | 92 | 0 | 219 | 0 |
| N.S. |
1 | 1.06 | 0.66 | 16.67 | 0.00 | 0.65 | 0.00 | 1.55 | 0.00 |
| time (sec) |
N/A | 0.566 | 0.114 | 1.560 | 0.000 | 0.265 | 0.000 | 0.336 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | A | F(-1) |
| verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 139 | 86 | 2329 | 0 | 84 | 0 | 192 | 0 |
| N.S. |
1 | 1.07 | 0.66 | 17.92 | 0.00 | 0.65 | 0.00 | 1.48 | 0.00 |
| time (sec) |
N/A | 0.550 | 0.090 | 0.958 | 0.000 | 0.278 | 0.000 | 0.310 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | A | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 74 | 58 | 1239 | 118 | 51 | 0 | 80 | 0 |
| N.S. |
1 | 1.04 | 0.82 | 17.45 | 1.66 | 0.72 | 0.00 | 1.13 | 0.00 |
| time (sec) |
N/A | 0.348 | 0.098 | 1.179 | 0.191 | 0.272 | 0.000 | 0.300 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 141 | 87 | 2296 | 0 | 81 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.65 | 17.26 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.591 | 0.086 | 3.396 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 150 | 94 | 2341 | 0 | 88 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.67 | 16.60 | 0.00 | 0.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.593 | 0.092 | 8.227 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | B | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 135 | 87 | 370 | 0 | 154 | 0 | 712 | 0 |
| N.S. |
1 | 1.52 | 0.98 | 4.16 | 0.00 | 1.73 | 0.00 | 8.00 | 0.00 |
| time (sec) |
N/A | 0.349 | 0.100 | 0.653 | 0.000 | 0.263 | 0.000 | 0.326 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | A | A | A | A | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 29 | 30 | 28 | 117 | 32 | 16 | 32 | 17 | 0 |
| N.S. |
1 | 1.03 | 0.97 | 4.03 | 1.10 | 0.55 | 1.10 | 0.59 | 0.00 |
| time (sec) |
N/A | 0.228 | 0.037 | 0.108 | 0.191 | 0.243 | 4.137 | 0.290 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F(-1) | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 347 | 293 | 179 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.84 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.039 | 0.510 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 298 | 244 | 156 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.82 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.875 | 0.265 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 298 | 244 | 156 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.82 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.853 | 0.260 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 226 | 146 | 0 | 0 | 131 | 0 | 0 | 0 |
| N.S. |
1 | 0.83 | 0.54 | 0.00 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.772 | 0.220 | 0.000 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | B | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 71 | 323 | 95 | 222 | 0 | 244 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 4.55 | 1.34 | 3.13 | 0.00 | 3.44 | 0.00 |
| time (sec) |
N/A | 0.332 | 0.098 | 24.205 | 0.187 | 0.281 | 0.000 | 0.298 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 216 | 141 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.83 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.808 | 0.246 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 295 | 243 | 154 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.82 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.843 | 0.256 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 295 | 243 | 154 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.82 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.854 | 0.261 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | A | B | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 241 | 248 | 6894 | 0 | 221 | 435 | 5306 | 0 |
| N.S. |
1 | 0.98 | 1.01 | 28.02 | 0.00 | 0.90 | 1.77 | 21.57 | 0.00 |
| time (sec) |
N/A | 0.484 | 0.125 | 4.933 | 0.000 | 0.491 | 55.642 | 0.474 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | A | B | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 242 | 248 | 5619 | 0 | 308 | 445 | 11159 | 0 |
| N.S. |
1 | 0.99 | 1.01 | 22.93 | 0.00 | 1.26 | 1.82 | 45.55 | 0.00 |
| time (sec) |
N/A | 0.471 | 0.133 | 4.108 | 0.000 | 0.480 | 50.334 | 0.765 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 179 | 165 | 1490 | 0 | 0 | 221 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.91 | 8.19 | 0.00 | 0.00 | 1.21 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.374 | 0.102 | 81.353 | 0.000 | 0.000 | 44.471 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 179 | 178 | 1633 | 0 | 0 | 231 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.98 | 8.97 | 0.00 | 0.00 | 1.27 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.370 | 0.109 | 80.622 | 0.000 | 0.000 | 40.036 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 241 | 240 | 4121 | 0 | 307 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.98 | 16.89 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.465 | 0.117 | 3.882 | 0.000 | 0.389 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 312 | 308 | 145 | 4757 | 0 | 275 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.46 | 15.25 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.451 | 0.177 | 5.008 | 0.000 | 0.390 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | C | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 177 | 167 | 726 | 354 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.93 | 4.03 | 1.97 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.374 | 0.113 | 62.201 | 0.236 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | A | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 177 | 178 | 715 | 319 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.99 | 3.97 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.368 | 0.112 | 65.398 | 0.235 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 482 | 471 | 456 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.977 | 0.708 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 490 | 479 | 564 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.961 | 0.678 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 458 | 447 | 516 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.970 | 0.544 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 508 | 497 | 619 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.812 | 2.827 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 25 | 23 | 25 | 25 | 20 | 25 | 25 |
| N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.09 | 1.09 | 0.87 | 1.09 | 1.09 |
| time (sec) |
N/A | 0.185 | 0.046 | 0.027 | 0.217 | 0.258 | 5.317 | 0.297 | 0.415 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 104 | 106 | 99 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.442 | 0.033 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 73 | 69 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.339 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |