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 | B | F(-1) | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 251 | 245 | 1741 | 1154 | 0 | 304 | 0 | 0 | 688 |
| N.S. |
1 | 0.98 | 6.94 | 4.60 | 0.00 | 1.21 | 0.00 | 0.00 | 2.74 |
| time (sec) |
N/A | 1.510 | 13.718 | 4.565 | 0.000 | 0.129 | 0.000 | 0.000 | 21.532 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 267 | 275 | 1364 | 545 | 0 | 264 | 0 | 0 | 507 |
| N.S. |
1 | 1.03 | 5.11 | 2.04 | 0.00 | 0.99 | 0.00 | 0.00 | 1.90 |
| time (sec) |
N/A | 1.813 | 9.277 | 143.661 | 0.000 | 0.135 | 0.000 | 0.000 | 18.182 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 240 | 1697 | 514 | 0 | 241 | 0 | 0 | 430 |
| N.S. |
1 | 1.04 | 7.35 | 2.23 | 0.00 | 1.04 | 0.00 | 0.00 | 1.86 |
| time (sec) |
N/A | 1.698 | 10.413 | 143.508 | 0.000 | 0.114 | 0.000 | 0.000 | 19.648 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 227 | 240 | 1688 | 727 | 0 | 264 | 0 | 0 | 376 |
| N.S. |
1 | 1.06 | 7.44 | 3.20 | 0.00 | 1.16 | 0.00 | 0.00 | 1.66 |
| time (sec) |
N/A | 1.661 | 12.128 | 143.036 | 0.000 | 0.116 | 0.000 | 0.000 | 18.871 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 226 | 237 | 1672 | 950 | 0 | 267 | 0 | 0 | 358 |
| N.S. |
1 | 1.05 | 7.40 | 4.20 | 0.00 | 1.18 | 0.00 | 0.00 | 1.58 |
| time (sec) |
N/A | 1.642 | 13.472 | 142.265 | 0.000 | 0.118 | 0.000 | 0.000 | 20.041 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 243 | 1673 | 1328 | 0 | 272 | 0 | 0 | 408 |
| N.S. |
1 | 1.05 | 7.24 | 5.75 | 0.00 | 1.18 | 0.00 | 0.00 | 1.77 |
| time (sec) |
N/A | 1.722 | 13.851 | 3.029 | 0.000 | 0.134 | 0.000 | 0.000 | 21.018 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 240 | 1692 | 1070 | 0 | 281 | 0 | 0 | 436 |
| N.S. |
1 | 1.04 | 7.32 | 4.63 | 0.00 | 1.22 | 0.00 | 0.00 | 1.89 |
| time (sec) |
N/A | 1.670 | 13.227 | 3.793 | 0.000 | 0.134 | 0.000 | 0.000 | 23.391 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 267 | 264 | 1739 | 1235 | 0 | 304 | 0 | 0 | 457 |
| N.S. |
1 | 0.99 | 6.51 | 4.63 | 0.00 | 1.14 | 0.00 | 0.00 | 1.71 |
| time (sec) |
N/A | 1.863 | 13.646 | 4.708 | 0.000 | 0.122 | 0.000 | 0.000 | 22.196 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 327 | 1416 | 576 | 0 | 287 | 0 | 0 | 764 |
| N.S. |
1 | 1.05 | 4.57 | 1.86 | 0.00 | 0.93 | 0.00 | 0.00 | 2.46 |
| time (sec) |
N/A | 2.264 | 10.541 | 434.548 | 0.000 | 0.131 | 0.000 | 0.000 | 21.049 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 274 | 295 | 1751 | 545 | 0 | 264 | 0 | 0 | 601 |
| N.S. |
1 | 1.08 | 6.39 | 1.99 | 0.00 | 0.96 | 0.00 | 0.00 | 2.19 |
| time (sec) |
N/A | 2.037 | 12.994 | 431.622 | 0.000 | 0.129 | 0.000 | 0.000 | 19.635 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 270 | 288 | 1742 | 786 | 0 | 287 | 0 | 0 | 548 |
| N.S. |
1 | 1.07 | 6.45 | 2.91 | 0.00 | 1.06 | 0.00 | 0.00 | 2.03 |
| time (sec) |
N/A | 2.049 | 15.243 | 429.849 | 0.000 | 0.138 | 0.000 | 0.000 | 20.700 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 269 | 287 | 1451 | 864 | 0 | 284 | 0 | 0 | 468 |
| N.S. |
1 | 1.07 | 5.39 | 3.21 | 0.00 | 1.06 | 0.00 | 0.00 | 1.74 |
| time (sec) |
N/A | 1.984 | 15.351 | 432.816 | 0.000 | 0.140 | 0.000 | 0.000 | 20.127 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 267 | 288 | 1449 | 1214 | 0 | 280 | 0 | 0 | 525 |
| N.S. |
1 | 1.08 | 5.43 | 4.55 | 0.00 | 1.05 | 0.00 | 0.00 | 1.97 |
| time (sec) |
N/A | 2.113 | 13.584 | 647.270 | 0.000 | 0.128 | 0.000 | 0.000 | 22.197 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 292 | 1454 | 1535 | 0 | 289 | 0 | 0 | 560 |
| N.S. |
1 | 1.08 | 5.37 | 5.66 | 0.00 | 1.07 | 0.00 | 0.00 | 2.07 |
| time (sec) |
N/A | 2.071 | 14.101 | 5.640 | 0.000 | 0.152 | 0.000 | 0.000 | 23.478 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 274 | 291 | 1748 | 1400 | 0 | 304 | 0 | 0 | 724 |
| N.S. |
1 | 1.06 | 6.38 | 5.11 | 0.00 | 1.11 | 0.00 | 0.00 | 2.64 |
| time (sec) |
N/A | 2.080 | 14.428 | 6.456 | 0.000 | 0.141 | 0.000 | 0.000 | 24.551 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 319 | 1795 | 1478 | 0 | 327 | 0 | 0 | 830 |
| N.S. |
1 | 1.03 | 5.79 | 4.77 | 0.00 | 1.05 | 0.00 | 0.00 | 2.68 |
| time (sec) |
N/A | 2.242 | 14.216 | 7.510 | 0.000 | 0.130 | 0.000 | 0.000 | 23.946 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 210 | 185 | 1761 | 341 | 0 | 316 | 0 | 0 | 0 |
| N.S. |
1 | 0.88 | 8.39 | 1.62 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.960 | 14.725 | 15.616 | 0.000 | 0.125 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 174 | 157 | 1705 | 320 | 0 | 296 | 0 | 0 | 0 |
| N.S. |
1 | 0.90 | 9.80 | 1.84 | 0.00 | 1.70 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.832 | 11.190 | 14.642 | 0.000 | 0.130 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 134 | 128 | 1647 | 300 | 0 | 277 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 12.29 | 2.24 | 0.00 | 2.07 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.764 | 9.507 | 3.669 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 93 | 98 | 1612 | 281 | 0 | 266 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 17.33 | 3.02 | 0.00 | 2.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.658 | 26.373 | 3.251 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 122 | 119 | 1648 | 353 | 0 | 315 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 13.51 | 2.89 | 0.00 | 2.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.761 | 12.628 | 2.262 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 151 | 1692 | 467 | 0 | 347 | 0 | 0 | 0 |
| N.S. |
1 | 0.92 | 10.25 | 2.83 | 0.00 | 2.10 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.798 | 15.323 | 2.883 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 210 | 181 | 1753 | 785 | 0 | 369 | 0 | 0 | 0 |
| N.S. |
1 | 0.86 | 8.35 | 3.74 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.922 | 15.712 | 4.033 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 238 | 1820 | 513 | 0 | 445 | 0 | 0 | 0 |
| N.S. |
1 | 0.92 | 7.05 | 1.99 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.280 | 14.913 | 9.917 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 206 | 1766 | 491 | 0 | 426 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 8.25 | 2.29 | 0.00 | 1.99 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.128 | 16.329 | 9.043 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 179 | 1710 | 472 | 0 | 406 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 9.50 | 2.62 | 0.00 | 2.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.097 | 9.791 | 4.110 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 151 | 1392 | 509 | 0 | 377 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 9.67 | 3.53 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.951 | 16.557 | 3.705 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 143 | 1384 | 509 | 0 | 371 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 10.41 | 3.83 | 0.00 | 2.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.946 | 15.375 | 3.484 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 167 | 170 | 1424 | 559 | 0 | 427 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 8.53 | 3.35 | 0.00 | 2.56 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.074 | 13.407 | 2.689 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 202 | 1753 | 724 | 0 | 476 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 8.31 | 3.43 | 0.00 | 2.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.121 | 11.469 | 3.394 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 250 | 229 | 1810 | 1045 | 0 | 498 | 0 | 0 | 0 |
| N.S. |
1 | 0.92 | 7.24 | 4.18 | 0.00 | 1.99 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.262 | 29.723 | 4.599 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 272 | 1903 | 666 | 0 | 552 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 6.97 | 2.44 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.524 | 17.013 | 21.335 | 0.000 | 0.151 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 234 | 240 | 1852 | 638 | 0 | 535 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 7.91 | 2.73 | 0.00 | 2.29 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.423 | 18.264 | 4.826 | 0.000 | 0.139 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 201 | 216 | 1821 | 624 | 0 | 524 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 9.06 | 3.10 | 0.00 | 2.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.269 | 14.618 | 4.479 | 0.000 | 0.142 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 193 | 208 | 1813 | 624 | 0 | 522 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 9.39 | 3.23 | 0.00 | 2.70 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.268 | 13.387 | 4.236 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 191 | 206 | 1810 | 624 | 0 | 522 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 9.48 | 3.27 | 0.00 | 2.73 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.267 | 13.338 | 4.176 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 234 | 1851 | 789 | 0 | 574 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 8.08 | 3.45 | 0.00 | 2.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.429 | 14.135 | 3.391 | 0.000 | 0.124 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 268 | 263 | 1894 | 1013 | 0 | 603 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 7.07 | 3.78 | 0.00 | 2.25 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.503 | 16.736 | 2.930 | 0.000 | 0.140 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 278 | 291 | 1965 | 680 | 0 | 659 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 7.07 | 2.45 | 0.00 | 2.37 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.858 | 18.861 | 4.286 | 0.000 | 0.159 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 264 | 1932 | 666 | 0 | 648 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 7.92 | 2.73 | 0.00 | 2.66 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.640 | 15.794 | 4.073 | 0.000 | 0.148 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 232 | 253 | 1626 | 595 | 0 | 613 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 7.01 | 2.56 | 0.00 | 2.64 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.621 | 16.399 | 3.949 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 250 | 1626 | 595 | 0 | 613 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 7.10 | 2.60 | 0.00 | 2.68 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.627 | 14.427 | 3.877 | 0.000 | 0.132 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 234 | 254 | 1626 | 595 | 0 | 615 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 6.95 | 2.54 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.609 | 19.727 | 3.756 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
| size | 276 | 286 | 1962 | 1017 | 0 | 700 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 7.11 | 3.68 | 0.00 | 2.54 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.822 | 16.166 | 3.001 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 226 | 248 | 127 | 138 | 668 | 125 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 0.56 | 0.61 | 2.96 | 0.55 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.450 | 2.418 | 0.743 | 0.499 | 0.280 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 205 | 105 | 110 | 508 | 104 | 0 | 0 | 0 |
| N.S. |
1 | 1.15 | 0.59 | 0.62 | 2.85 | 0.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.116 | 2.566 | 0.714 | 0.484 | 0.290 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 129 | 161 | 82 | 79 | 321 | 84 | 0 | 0 | 0 |
| N.S. |
1 | 1.25 | 0.64 | 0.61 | 2.49 | 0.65 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.925 | 0.381 | 0.721 | 0.469 | 0.272 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 149 | 95 | 216 | 380 | 329 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.68 | 1.54 | 2.71 | 2.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.900 | 4.940 | 0.901 | 0.463 | 0.301 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 152 | 116 | 306 | 970 | 371 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.83 | 2.20 | 6.98 | 2.67 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.916 | 3.370 | 0.951 | 0.477 | 0.321 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 151 | 156 | 173 | 450 | 2167 | 413 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.15 | 2.98 | 14.35 | 2.74 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.925 | 2.607 | 0.914 | 0.546 | 0.430 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 199 | 200 | 183 | 543 | 4002 | 457 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.92 | 2.73 | 20.11 | 2.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.101 | 2.661 | 0.873 | 0.636 | 0.430 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 247 | 243 | 219 | 636 | 6492 | 497 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.89 | 2.57 | 26.28 | 2.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.321 | 2.891 | 0.885 | 0.833 | 0.512 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 284 | 307 | 158 | 169 | 862 | 154 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.56 | 0.60 | 3.04 | 0.54 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.857 | 6.544 | 0.750 | 0.511 | 0.286 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 232 | 262 | 123 | 139 | 703 | 132 | 0 | 0 | 0 |
| N.S. |
1 | 1.13 | 0.53 | 0.60 | 3.03 | 0.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.532 | 4.057 | 0.716 | 0.498 | 0.275 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 207 | 106 | 111 | 513 | 110 | 0 | 0 | 0 |
| N.S. |
1 | 1.14 | 0.59 | 0.61 | 2.83 | 0.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.149 | 2.714 | 0.702 | 0.493 | 0.285 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 192 | 206 | 122 | 300 | 757 | 385 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.64 | 1.56 | 3.94 | 2.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.247 | 2.746 | 1.019 | 0.503 | 0.321 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 210 | 186 | 368 | 1895 | 429 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.94 | 1.87 | 9.62 | 2.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.302 | 7.373 | 1.081 | 0.511 | 0.329 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 203 | 212 | 129 | 482 | 3661 | 445 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.64 | 2.37 | 18.03 | 2.19 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.284 | 10.099 | 0.985 | 0.598 | 0.435 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 201 | 212 | 252 | 544 | 5748 | 467 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.25 | 2.71 | 28.60 | 2.32 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.295 | 7.485 | 1.002 | 0.745 | 0.419 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 253 | 259 | 220 | 637 | 8121 | 509 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.87 | 2.52 | 32.10 | 2.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.520 | 8.186 | 1.033 | 0.906 | 0.532 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 302 | 608 | 730 | 10749 | 551 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.01 | 2.41 | 35.48 | 1.82 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.805 | 12.829 | 1.082 | 1.409 | 0.528 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 334 | 362 | 190 | 201 | 1135 | 189 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.57 | 0.60 | 3.40 | 0.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.296 | 6.628 | 0.531 | 0.524 | 0.286 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 284 | 319 | 157 | 171 | 925 | 165 | 0 | 0 | 0 |
| N.S. |
1 | 1.12 | 0.55 | 0.60 | 3.26 | 0.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.936 | 6.341 | 0.955 | 0.516 | 0.280 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 251 | 124 | 141 | 751 | 141 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.54 | 0.61 | 3.25 | 0.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.400 | 5.093 | 0.512 | 0.496 | 0.286 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 242 | 261 | 137 | 393 | 1005 | 451 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.57 | 1.62 | 4.15 | 1.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.624 | 5.901 | 0.495 | 0.517 | 0.319 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 243 | 261 | 149 | 461 | 8464 | 495 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.61 | 1.90 | 34.83 | 2.04 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.670 | 3.870 | 0.972 | 0.753 | 0.323 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 253 | 268 | 175 | 546 | 5414 | 509 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.69 | 2.16 | 21.40 | 2.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.681 | 7.217 | 1.055 | 3.242 | 0.424 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 253 | 267 | 166 | 577 | 17788 | 515 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.66 | 2.28 | 70.31 | 2.04 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.661 | 7.314 | 1.068 | 3.436 | 0.434 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 253 | 269 | 333 | 639 | 10154 | 533 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 1.32 | 2.53 | 40.13 | 2.11 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.670 | 8.708 | 1.072 | 3.512 | 0.540 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 301 | 312 | 608 | 732 | 12710 | 579 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 2.02 | 2.43 | 42.23 | 1.92 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.957 | 12.800 | 1.130 | 1.486 | 0.544 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 353 | 354 | 707 | 825 | 16461 | 625 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.00 | 2.34 | 46.63 | 1.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.251 | 15.210 | 1.167 | 2.625 | 0.528 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 257 | 288 | 178 | 517 | 970 | 416 | 0 | 0 | 0 |
| N.S. |
1 | 1.12 | 0.69 | 2.01 | 3.77 | 1.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.774 | 4.050 | 0.575 | 0.545 | 0.325 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 230 | 163 | 468 | 774 | 378 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.77 | 2.22 | 3.67 | 1.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.284 | 2.072 | 0.790 | 0.508 | 0.291 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 172 | 88 | 255 | 566 | 340 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.54 | 1.56 | 3.47 | 2.09 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.954 | 5.916 | 0.778 | 0.488 | 0.295 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 164 | 131 | 290 | 800 | 501 | 0 | 0 | 0 |
| N.S. |
1 | 0.92 | 0.74 | 1.63 | 4.49 | 2.81 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.044 | 2.752 | 0.941 | 0.498 | 0.321 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 172 | 160 | 425 | 19132 | 580 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.88 | 2.35 | 105.70 | 3.20 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.065 | 1.491 | 0.859 | 0.668 | 0.353 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 235 | 228 | 294 | 603 | 3334 | 636 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.25 | 2.57 | 14.19 | 2.71 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.437 | 1.168 | 0.882 | 0.604 | 0.451 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 286 | 375 | 696 | 5590 | 680 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.33 | 2.48 | 19.89 | 2.42 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.836 | 3.751 | 0.906 | 0.705 | 0.481 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 184 | 170 | 137 | 338 | 890 | 553 | 0 | 0 | 0 |
| N.S. |
1 | 0.92 | 0.74 | 1.84 | 4.84 | 3.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.135 | 0.650 | 0.961 | 0.569 | 0.346 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 283 | 302 | 135 | 709 | 0 | 510 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.48 | 2.51 | 0.00 | 1.80 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.763 | 10.852 | 0.653 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 233 | 244 | 113 | 482 | 37260 | 466 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.48 | 2.07 | 159.91 | 2.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.362 | 5.234 | 0.870 | 0.966 | 0.299 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 184 | 96 | 422 | 9341 | 430 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.53 | 2.33 | 51.61 | 2.38 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.012 | 6.516 | 0.858 | 0.596 | 0.290 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 189 | 175 | 229 | 583 | 4285 | 612 | 0 | 0 | 0 |
| N.S. |
1 | 0.93 | 1.21 | 3.08 | 22.67 | 3.24 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.115 | 4.444 | 0.982 | 0.583 | 0.317 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 242 | 230 | 198 | 874 | 0 | 728 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.82 | 3.61 | 0.00 | 3.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.480 | 4.437 | 0.971 | 0.000 | 0.364 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 300 | 293 | 1094 | 1164 | 15483 | 808 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 3.65 | 3.88 | 51.61 | 2.69 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.945 | 8.280 | 0.989 | 1.477 | 0.513 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 333 | 360 | 200 | 1158 | 250341 | 614 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.60 | 3.48 | 751.77 | 1.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.149 | 5.488 | 0.707 | 6.359 | 0.296 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 300 | 191 | 723 | 157292 | 578 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.68 | 2.57 | 559.76 | 2.06 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.766 | 3.455 | 0.765 | 4.115 | 0.300 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 242 | 128 | 661 | 264379 | 536 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.55 | 2.86 | 1144.50 | 2.32 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.371 | 7.642 | 0.740 | 3.777 | 0.302 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 183 | 190 | 119 | 630 | 8402 | 518 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.65 | 3.44 | 45.91 | 2.83 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.009 | 6.645 | 0.807 | 1.157 | 0.305 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 241 | 233 | 153 | 964 | 10341 | 752 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.63 | 4.00 | 42.91 | 3.12 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.492 | 8.669 | 1.005 | 1.109 | 0.333 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 294 | 290 | 222 | 1356 | 0 | 884 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.76 | 4.61 | 0.00 | 3.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.964 | 9.088 | 1.032 | 0.000 | 0.384 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 190 | 180 | 143 | 565 | 0 | 246 | 0 | 0 | 254 |
| N.S. |
1 | 0.95 | 0.75 | 2.97 | 0.00 | 1.29 | 0.00 | 0.00 | 1.34 |
| time (sec) |
N/A | 0.900 | 3.373 | 82.782 | 0.000 | 0.146 | 0.000 | 0.000 | 19.017 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 154 | 152 | 117 | 515 | 0 | 222 | 0 | 0 | 216 |
| N.S. |
1 | 0.99 | 0.76 | 3.34 | 0.00 | 1.44 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 0.851 | 2.478 | 81.796 | 0.000 | 0.117 | 0.000 | 0.000 | 18.724 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 122 | 1569 | 465 | 0 | 195 | 0 | 0 | 162 |
| N.S. |
1 | 1.05 | 13.53 | 4.01 | 0.00 | 1.68 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 0.738 | 10.329 | 81.502 | 0.000 | 0.119 | 0.000 | 0.000 | 18.139 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 106 | 109 | 1550 | 388 | 0 | 216 | 0 | 0 | 146 |
| N.S. |
1 | 1.03 | 14.62 | 3.66 | 0.00 | 2.04 | 0.00 | 0.00 | 1.38 |
| time (sec) |
N/A | 0.722 | 13.737 | 3.105 | 0.000 | 0.123 | 0.000 | 0.000 | 18.515 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 112 | 115 | 1555 | 639 | 0 | 229 | 0 | 0 | 184 |
| N.S. |
1 | 1.03 | 13.88 | 5.71 | 0.00 | 2.04 | 0.00 | 0.00 | 1.64 |
| time (sec) |
N/A | 0.761 | 14.416 | 3.261 | 0.000 | 0.126 | 0.000 | 0.000 | 19.557 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 152 | 146 | 136 | 715 | 0 | 260 | 0 | 0 | 217 |
| N.S. |
1 | 0.96 | 0.89 | 4.70 | 0.00 | 1.71 | 0.00 | 0.00 | 1.43 |
| time (sec) |
N/A | 0.874 | 5.262 | 3.793 | 0.000 | 0.117 | 0.000 | 0.000 | 20.739 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 190 | 176 | 173 | 824 | 0 | 288 | 0 | 0 | 223 |
| N.S. |
1 | 0.93 | 0.91 | 4.34 | 0.00 | 1.52 | 0.00 | 0.00 | 1.17 |
| time (sec) |
N/A | 0.910 | 7.545 | 4.701 | 0.000 | 0.132 | 0.000 | 0.000 | 21.019 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 250 | 243 | 194 | 784 | 0 | 318 | 0 | 0 | 366 |
| N.S. |
1 | 0.97 | 0.78 | 3.14 | 0.00 | 1.27 | 0.00 | 0.00 | 1.46 |
| time (sec) |
N/A | 1.422 | 3.885 | 433.437 | 0.000 | 0.142 | 0.000 | 0.000 | 19.828 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 213 | 2361 | 706 | 0 | 281 | 0 | 0 | 303 |
| N.S. |
1 | 1.05 | 11.69 | 3.50 | 0.00 | 1.39 | 0.00 | 0.00 | 1.50 |
| time (sec) |
N/A | 1.241 | 10.801 | 438.838 | 0.000 | 0.121 | 0.000 | 0.000 | 19.267 |