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 | A | B | B | A | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 240 | 145 | 411 | 976 | 476 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.65 | 1.85 | 4.40 | 2.14 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.360 | 8.417 | 1.990 | 0.550 | 0.310 | 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 | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 230 | 117 | 148 | 804 | 149 | 0 | 0 | 190 |
| N.S. |
1 | 1.00 | 0.51 | 0.64 | 3.48 | 0.65 | 0.00 | 0.00 | 0.82 |
| time (sec) |
N/A | 1.203 | 6.421 | 1.462 | 0.521 | 0.257 | 0.000 | 0.000 | 20.508 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 284 | 298 | 137 | 181 | 1266 | 173 | 0 | 0 | 404 |
| N.S. |
1 | 1.05 | 0.48 | 0.64 | 4.46 | 0.61 | 0.00 | 0.00 | 1.42 |
| time (sec) |
N/A | 1.709 | 7.077 | 1.581 | 0.553 | 0.269 | 0.000 | 0.000 | 23.948 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 334 | 341 | 159 | 214 | 1562 | 197 | 0 | 0 | 458 |
| N.S. |
1 | 1.02 | 0.48 | 0.64 | 4.68 | 0.59 | 0.00 | 0.00 | 1.37 |
| time (sec) |
N/A | 2.020 | 5.978 | 1.549 | 0.567 | 0.268 | 0.000 | 0.000 | 25.601 |
| 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 | 241 | 265 | 355 | 696 | 5206 | 689 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 1.47 | 2.89 | 21.60 | 2.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.625 | 4.071 | 1.886 | 0.743 | 0.531 | 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 | 195 | 207 | 274 | 603 | 2998 | 633 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 1.41 | 3.09 | 15.37 | 3.25 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.194 | 2.108 | 1.736 | 0.644 | 0.526 | 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 | 141 | 151 | 140 | 425 | 1442 | 536 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.99 | 3.01 | 10.23 | 3.80 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.860 | 3.690 | 1.830 | 0.570 | 0.356 | 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 | 138 | 143 | 139 | 331 | 668 | 510 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 1.01 | 2.40 | 4.84 | 3.70 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.831 | 1.875 | 1.554 | 0.511 | 0.307 | 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 | 143 | 151 | 119 | 372 | 475 | 358 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.83 | 2.60 | 3.32 | 2.50 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.739 | 3.531 | 1.338 | 0.510 | 0.270 | 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 | 191 | 209 | 137 | 468 | 742 | 398 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.72 | 2.45 | 3.88 | 2.08 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.077 | 2.947 | 1.419 | 0.540 | 0.265 | 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 | 237 | 267 | 160 | 517 | 1085 | 438 | 0 | 0 | 0 |
| N.S. |
1 | 1.13 | 0.68 | 2.18 | 4.58 | 1.85 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.446 | 2.257 | 1.368 | 0.571 | 0.302 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 152 | 162 | 152 | 527 | 1918 | 611 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.00 | 3.47 | 12.62 | 4.02 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.928 | 0.508 | 1.816 | 0.652 | 0.553 | 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 | 260 | 272 | 1034 | 1174 | 15483 | 805 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 3.98 | 4.52 | 59.55 | 3.10 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.653 | 7.892 | 1.921 | 1.451 | 0.646 | 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 | 202 | 209 | 562 | 898 | 22775 | 681 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 2.78 | 4.45 | 112.75 | 3.37 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.252 | 3.934 | 1.903 | 1.286 | 0.392 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 149 | 154 | 523 | 516 | 18871 | 621 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 3.51 | 3.46 | 126.65 | 4.17 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.881 | 6.467 | 1.854 | 1.088 | 0.305 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 161 | 163 | 512 | 429 | 23927 | 450 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 3.18 | 2.66 | 148.61 | 2.80 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.800 | 2.583 | 1.406 | 1.085 | 0.274 | 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 | No | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 223 | 180 | 620 | 42167 | 488 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.85 | 2.91 | 197.97 | 2.29 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.113 | 2.440 | 1.497 | 0.996 | 0.294 | 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 | 263 | 281 | 181 | 691 | 0 | 530 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.69 | 2.63 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.494 | 3.188 | 1.484 | 0.000 | 0.281 | 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 | No | TBD | TBD | TBD | TBD | TBD |
| size | 254 | 269 | 1159 | 1385 | 98366 | 837 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 4.56 | 5.45 | 387.27 | 3.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.713 | 8.009 | 2.053 | 17.046 | 0.409 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | B | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 201 | 212 | 1009 | 693 | 92192 | 781 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 5.02 | 3.45 | 458.67 | 3.89 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.223 | 7.759 | 1.820 | 14.961 | 0.321 | 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 | No | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 169 | 785 | 558 | 90253 | 538 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 4.82 | 3.42 | 553.70 | 3.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.804 | 6.456 | 1.541 | 15.133 | 0.267 | 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 | No | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 221 | 653 | 500 | 264379 | 556 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 3.09 | 2.37 | 1252.98 | 2.64 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.149 | 7.452 | 1.540 | 3.444 | 0.273 | 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 | 261 | 279 | 202 | 863 | 410328 | 600 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.77 | 3.31 | 1572.14 | 2.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.529 | 2.502 | 1.536 | 5.656 | 0.289 | 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 | 313 | 339 | 208 | 918 | 645572 | 634 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.66 | 2.93 | 2062.53 | 2.03 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.921 | 4.709 | 1.632 | 9.429 | 0.287 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 446 | 475 | 5449 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 12.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.122 | 21.896 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 390 | 398 | 2931 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 7.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.034 | 20.093 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 402 | 403 | 3029 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 7.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.066 | 22.479 | 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(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 466 | 500 | 3111 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 6.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.152 | 21.071 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 839 | 843 | 4995 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 5.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.431 | 23.742 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 786 | 794 | 4191 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 5.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.237 | 20.728 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 803 | 797 | 4253 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 5.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.266 | 22.960 | 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(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 856 | 844 | 4383 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 5.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.359 | 22.203 | 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 | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 259 | 260 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.050 | 0.000 | 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 | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 267 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.055 | 0.000 | 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 | B | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 38 | 38 | 38 | 0 | 310 | 58 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 8.16 | 1.53 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.960 | 0.133 | 0.000 | 4.781 | 0.283 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 171 | 181 | 1817 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 10.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.866 | 12.893 | 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 | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 132 | 96 | 141 | 175 | 147 | 0 | 334 | 232 |
| N.S. |
1 | 0.94 | 0.69 | 1.01 | 1.25 | 1.05 | 0.00 | 2.39 | 1.66 |
| time (sec) |
N/A | 0.758 | 0.754 | 1.002 | 0.225 | 0.274 | 0.000 | 0.329 | 19.410 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 116 | 80 | 118 | 152 | 129 | 0 | 304 | 197 |
| N.S. |
1 | 0.99 | 0.68 | 1.01 | 1.30 | 1.10 | 0.00 | 2.60 | 1.68 |
| time (sec) |
N/A | 0.735 | 0.391 | 0.870 | 0.220 | 0.282 | 0.000 | 0.337 | 20.192 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 88 | 59 | 88 | 100 | 107 | 0 | 184 | 137 |
| N.S. |
1 | 1.02 | 0.69 | 1.02 | 1.16 | 1.24 | 0.00 | 2.14 | 1.59 |
| time (sec) |
N/A | 0.556 | 0.273 | 0.727 | 0.207 | 0.275 | 0.000 | 0.328 | 18.117 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 62 | 67 | 74 | 88 | 101 | 0 | 134 | 135 |
| N.S. |
1 | 1.07 | 1.16 | 1.28 | 1.52 | 1.74 | 0.00 | 2.31 | 2.33 |
| time (sec) |
N/A | 0.242 | 0.039 | 0.435 | 0.218 | 0.266 | 0.000 | 0.317 | 15.572 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 42 | 42 | 54 | 49 | 59 | 86 | 0 | 119 | 91 |
| N.S. |
1 | 1.00 | 1.29 | 1.17 | 1.40 | 2.05 | 0.00 | 2.83 | 2.17 |
| time (sec) |
N/A | 0.435 | 0.019 | 0.359 | 0.211 | 0.261 | 0.000 | 0.326 | 15.889 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 62 | 73 | 65 | 70 | 63 | 0 | 127 | 115 |
| N.S. |
1 | 1.07 | 1.26 | 1.12 | 1.21 | 1.09 | 0.00 | 2.19 | 1.98 |
| time (sec) |
N/A | 0.499 | 0.111 | 0.234 | 0.209 | 0.272 | 0.000 | 0.309 | 15.968 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 79 | 64 | 56 | 67 | 56 | 0 | 153 | 67 |
| N.S. |
1 | 1.03 | 0.83 | 0.73 | 0.87 | 0.73 | 0.00 | 1.99 | 0.87 |
| time (sec) |
N/A | 0.510 | 0.085 | 0.350 | 0.224 | 0.253 | 0.000 | 0.298 | 15.483 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 84 | 69 | 90 | 76 | 0 | 272 | 215 |
| N.S. |
1 | 1.00 | 0.88 | 0.73 | 0.95 | 0.80 | 0.00 | 2.86 | 2.26 |
| time (sec) |
N/A | 0.636 | 0.151 | 0.520 | 0.216 | 0.270 | 0.000 | 0.318 | 18.542 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 131 | 123 | 89 | 89 | 113 | 94 | 0 | 302 | 250 |
| N.S. |
1 | 0.94 | 0.68 | 0.68 | 0.86 | 0.72 | 0.00 | 2.31 | 1.91 |
| time (sec) |
N/A | 0.635 | 0.281 | 0.648 | 0.211 | 0.268 | 0.000 | 0.317 | 18.185 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 226 | 242 | 117 | 178 | 216 | 180 | 0 | 532 | 322 |
| N.S. |
1 | 1.07 | 0.52 | 0.79 | 0.96 | 0.80 | 0.00 | 2.35 | 1.42 |
| time (sec) |
N/A | 1.412 | 2.379 | 1.165 | 0.218 | 0.285 | 0.000 | 0.356 | 19.629 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 170 | 180 | 108 | 162 | 225 | 171 | 0 | 426 | 307 |
| N.S. |
1 | 1.06 | 0.64 | 0.95 | 1.32 | 1.01 | 0.00 | 2.51 | 1.81 |
| time (sec) |
N/A | 0.976 | 1.385 | 0.959 | 0.214 | 0.264 | 0.000 | 0.343 | 19.701 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 103 | 110 | 78 | 117 | 129 | 136 | 0 | 262 | 209 |
| N.S. |
1 | 1.07 | 0.76 | 1.14 | 1.25 | 1.32 | 0.00 | 2.54 | 2.03 |
| time (sec) |
N/A | 0.418 | 1.373 | 0.653 | 0.192 | 0.263 | 0.000 | 0.339 | 16.060 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 111 | 352 | 112 | 140 | 139 | 0 | 191 | 188 |
| N.S. |
1 | 1.02 | 3.23 | 1.03 | 1.28 | 1.28 | 0.00 | 1.75 | 1.72 |
| time (sec) |
N/A | 0.456 | 3.786 | 0.516 | 0.196 | 0.279 | 0.000 | 0.316 | 16.429 |
| 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 | 103 | 104 | 130 | 94 | 99 | 119 | 0 | 175 | 193 |
| N.S. |
1 | 1.01 | 1.26 | 0.91 | 0.96 | 1.16 | 0.00 | 1.70 | 1.87 |
| time (sec) |
N/A | 0.810 | 2.212 | 0.503 | 0.220 | 0.270 | 0.000 | 0.317 | 15.842 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 112 | 113 | 144 | 106 | 112 | 99 | 0 | 256 | 170 |
| N.S. |
1 | 1.01 | 1.29 | 0.95 | 1.00 | 0.88 | 0.00 | 2.29 | 1.52 |
| time (sec) |
N/A | 0.843 | 1.004 | 0.440 | 0.215 | 0.284 | 0.000 | 0.341 | 16.113 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 153 | 104 | 99 | 130 | 104 | 0 | 378 | 145 |
| N.S. |
1 | 1.06 | 0.72 | 0.68 | 0.90 | 0.72 | 0.00 | 2.61 | 1.00 |
| time (sec) |
N/A | 0.895 | 0.893 | 0.514 | 0.205 | 0.264 | 0.000 | 0.307 | 15.620 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 161 | 163 | 126 | 120 | 154 | 123 | 0 | 498 | 342 |
| N.S. |
1 | 1.01 | 0.78 | 0.75 | 0.96 | 0.76 | 0.00 | 3.09 | 2.12 |
| time (sec) |
N/A | 1.063 | 1.491 | 0.685 | 0.218 | 0.284 | 0.000 | 0.324 | 18.535 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 306 | 324 | 187 | 254 | 386 | 262 | 0 | 932 | 574 |
| N.S. |
1 | 1.06 | 0.61 | 0.83 | 1.26 | 0.86 | 0.00 | 3.05 | 1.88 |
| time (sec) |
N/A | 1.875 | 5.499 | 1.511 | 0.213 | 0.291 | 0.000 | 0.387 | 19.133 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 234 | 246 | 152 | 215 | 289 | 225 | 0 | 656 | 445 |
| N.S. |
1 | 1.05 | 0.65 | 0.92 | 1.24 | 0.96 | 0.00 | 2.80 | 1.90 |
| time (sec) |
N/A | 1.356 | 3.253 | 1.179 | 0.221 | 0.269 | 0.000 | 0.383 | 19.461 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 167 | 170 | 132 | 183 | 254 | 199 | 0 | 526 | 1547 |
| N.S. |
1 | 1.02 | 0.79 | 1.10 | 1.52 | 1.19 | 0.00 | 3.15 | 9.26 |
| time (sec) |
N/A | 0.683 | 2.093 | 1.047 | 0.212 | 0.274 | 0.000 | 0.360 | 17.895 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 167 | 173 | 325 | 155 | 181 | 178 | 0 | 322 | 464 |
| N.S. |
1 | 1.04 | 1.95 | 0.93 | 1.08 | 1.07 | 0.00 | 1.93 | 2.78 |
| time (sec) |
N/A | 0.699 | 4.768 | 0.898 | 0.223 | 0.269 | 0.000 | 0.356 | 17.719 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 168 | 168 | 287 | 157 | 179 | 171 | 0 | 387 | 282 |
| N.S. |
1 | 1.00 | 1.71 | 0.93 | 1.07 | 1.02 | 0.00 | 2.30 | 1.68 |
| time (sec) |
N/A | 0.784 | 3.479 | 0.725 | 0.230 | 0.279 | 0.000 | 0.361 | 17.104 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 167 | 184 | 135 | 141 | 158 | 0 | 306 | 238 |
| N.S. |
1 | 1.02 | 1.13 | 0.83 | 0.87 | 0.97 | 0.00 | 1.88 | 1.46 |
| time (sec) |
N/A | 1.280 | 2.530 | 0.689 | 0.209 | 0.270 | 0.000 | 0.375 | 17.479 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 185 | 177 | 149 | 174 | 146 | 0 | 503 | 2008 |
| N.S. |
1 | 1.02 | 0.97 | 0.82 | 0.96 | 0.80 | 0.00 | 2.76 | 11.03 |
| time (sec) |
N/A | 1.325 | 1.850 | 0.648 | 0.239 | 0.278 | 0.000 | 0.357 | 17.207 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 218 | 231 | 155 | 147 | 194 | 153 | 0 | 606 | 442 |
| N.S. |
1 | 1.06 | 0.71 | 0.67 | 0.89 | 0.70 | 0.00 | 2.78 | 2.03 |
| time (sec) |
N/A | 1.361 | 1.651 | 0.676 | 0.246 | 0.272 | 0.000 | 0.334 | 18.747 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 257 | 246 | 253 | 178 | 243 | 189 | 0 | 882 | 573 |
| N.S. |
1 | 0.96 | 0.98 | 0.69 | 0.95 | 0.74 | 0.00 | 3.43 | 2.23 |
| time (sec) |
N/A | 1.620 | 1.793 | 0.872 | 0.246 | 0.291 | 0.000 | 0.348 | 18.984 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 381 | 401 | 234 | 317 | 472 | 325 | 0 | 1280 | 755 |
| N.S. |
1 | 1.05 | 0.61 | 0.83 | 1.24 | 0.85 | 0.00 | 3.36 | 1.98 |
| time (sec) |
N/A | 2.425 | 6.623 | 1.685 | 0.232 | 0.296 | 0.000 | 0.410 | 20.080 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 324 | 207 | 291 | 459 | 297 | 0 | 1100 | 690 |
| N.S. |
1 | 1.05 | 0.67 | 0.94 | 1.48 | 0.96 | 0.00 | 3.55 | 2.23 |
| time (sec) |
N/A | 1.843 | 8.885 | 1.573 | 0.204 | 0.282 | 0.000 | 0.408 | 19.118 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 227 | 237 | 172 | 236 | 318 | 251 | 0 | 778 | 1738 |
| N.S. |
1 | 1.04 | 0.76 | 1.04 | 1.40 | 1.11 | 0.00 | 3.43 | 7.66 |
| time (sec) |
N/A | 0.985 | 3.586 | 1.300 | 0.205 | 0.288 | 0.000 | 0.404 | 18.931 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 240 | 1357 | 247 | 306 | 236 | 0 | 590 | 1988 |
| N.S. |
1 | 1.05 | 5.93 | 1.08 | 1.34 | 1.03 | 0.00 | 2.58 | 8.68 |
| time (sec) |
N/A | 1.017 | 11.141 | 1.278 | 0.206 | 0.280 | 0.000 | 0.382 | 19.094 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 219 | 228 | 416 | 200 | 221 | 208 | 0 | 397 | 2664 |
| N.S. |
1 | 1.04 | 1.90 | 0.91 | 1.01 | 0.95 | 0.00 | 1.81 | 12.16 |
| time (sec) |
N/A | 1.124 | 7.980 | 1.128 | 0.196 | 0.294 | 0.000 | 0.379 | 18.420 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 251 | 252 | 324 | 198 | 221 | 210 | 0 | 398 | 2660 |
| N.S. |
1 | 1.00 | 1.29 | 0.79 | 0.88 | 0.84 | 0.00 | 1.59 | 10.60 |
| time (sec) |
N/A | 1.274 | 4.829 | 1.002 | 0.196 | 0.303 | 0.000 | 0.380 | 18.047 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 255 | 270 | 207 | 204 | 203 | 0 | 558 | 395 |
| N.S. |
1 | 1.04 | 1.10 | 0.84 | 0.83 | 0.83 | 0.00 | 2.27 | 1.61 |
| time (sec) |
N/A | 1.947 | 3.396 | 0.887 | 0.203 | 0.288 | 0.000 | 0.394 | 16.906 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 250 | 259 | 223 | 195 | 239 | 195 | 0 | 753 | 2241 |
| N.S. |
1 | 1.04 | 0.89 | 0.78 | 0.96 | 0.78 | 0.00 | 3.01 | 8.96 |
| time (sec) |
N/A | 1.888 | 2.519 | 0.841 | 0.203 | 0.289 | 0.000 | 0.368 | 17.978 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 298 | 309 | 302 | 203 | 283 | 212 | 0 | 1034 | 359 |
| N.S. |
1 | 1.04 | 1.01 | 0.68 | 0.95 | 0.71 | 0.00 | 3.47 | 1.20 |
| time (sec) |
N/A | 2.075 | 1.811 | 0.763 | 0.200 | 0.269 | 0.000 | 0.365 | 16.552 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F(-1) | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 339 | 332 | 351 | 238 | 329 | 251 | 0 | 1228 | 751 |
| N.S. |
1 | 0.98 | 1.04 | 0.70 | 0.97 | 0.74 | 0.00 | 3.62 | 2.22 |
| time (sec) |
N/A | 2.341 | 1.919 | 0.934 | 0.205 | 0.291 | 0.000 | 0.385 | 19.269 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 162 | 188 | 161 | 192 | 181 | 0 | 379 | 274 |
| N.S. |
1 | 1.03 | 1.19 | 1.02 | 1.22 | 1.15 | 0.00 | 2.40 | 1.73 |
| time (sec) |
N/A | 0.750 | 1.885 | 0.974 | 0.195 | 0.270 | 0.000 | 0.362 | 16.596 |
| 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 | 106 | 114 | 86 | 94 | 105 | 132 | 0 | 168 | 160 |
| N.S. |
1 | 1.08 | 0.81 | 0.89 | 0.99 | 1.25 | 0.00 | 1.58 | 1.51 |
| time (sec) |
N/A | 0.507 | 0.187 | 0.619 | 0.198 | 0.271 | 0.000 | 0.309 | 16.997 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 75 | 76 | 75 | 82 | 93 | 116 | 0 | 149 | 137 |
| N.S. |
1 | 1.01 | 1.00 | 1.09 | 1.24 | 1.55 | 0.00 | 1.99 | 1.83 |
| time (sec) |
N/A | 0.341 | 0.021 | 0.533 | 0.189 | 0.278 | 0.000 | 0.303 | 16.746 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | A | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 203 | 657 | 299 | 0 | 663 | 0 | 372 | 3914 |
| N.S. |
1 | 1.09 | 3.53 | 1.61 | 0.00 | 3.56 | 0.00 | 2.00 | 21.04 |
| time (sec) |
N/A | 1.405 | 3.966 | 0.538 | 0.000 | 1.799 | 0.000 | 0.354 | 20.877 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | A | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 147 | 428 | 218 | 0 | 559 | 0 | 242 | 2321 |
| N.S. |
1 | 1.07 | 3.12 | 1.59 | 0.00 | 4.08 | 0.00 | 1.77 | 16.94 |
| time (sec) |
N/A | 0.973 | 4.828 | 0.410 | 0.000 | 1.775 | 0.000 | 0.341 | 19.671 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 100 | 331 | 137 | 0 | 424 | 0 | 163 | 934 |
| N.S. |
1 | 1.05 | 3.48 | 1.44 | 0.00 | 4.46 | 0.00 | 1.72 | 9.83 |
| time (sec) |
N/A | 0.615 | 2.822 | 0.349 | 0.000 | 0.633 | 0.000 | 0.348 | 18.809 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 88 | 91 | 239 | 114 | 0 | 362 | 0 | 144 | 3656 |
| N.S. |
1 | 1.03 | 2.72 | 1.30 | 0.00 | 4.11 | 0.00 | 1.64 | 41.55 |
| time (sec) |
N/A | 0.571 | 0.692 | 0.280 | 0.000 | 0.627 | 0.000 | 0.337 | 24.332 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 91 | 82 | 108 | 0 | 306 | 0 | 136 | 1560 |
| N.S. |
1 | 1.06 | 0.95 | 1.26 | 0.00 | 3.56 | 0.00 | 1.58 | 18.14 |
| time (sec) |
N/A | 0.554 | 0.359 | 0.305 | 0.000 | 0.281 | 0.000 | 0.324 | 18.528 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 128 | 139 | 115 | 160 | 0 | 386 | 0 | 199 | 2478 |
| N.S. |
1 | 1.09 | 0.90 | 1.25 | 0.00 | 3.02 | 0.00 | 1.55 | 19.36 |
| time (sec) |
N/A | 0.893 | 0.788 | 0.364 | 0.000 | 0.290 | 0.000 | 0.326 | 20.105 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 175 | 192 | 149 | 225 | 0 | 483 | 0 | 326 | 3942 |
| N.S. |
1 | 1.10 | 0.85 | 1.29 | 0.00 | 2.76 | 0.00 | 1.86 | 22.53 |
| time (sec) |
N/A | 1.310 | 1.116 | 0.485 | 0.000 | 0.290 | 0.000 | 0.337 | 21.098 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 232 | 257 | 191 | 353 | 0 | 599 | 0 | 574 | 5828 |
| N.S. |
1 | 1.11 | 0.82 | 1.52 | 0.00 | 2.58 | 0.00 | 2.47 | 25.12 |
| time (sec) |
N/A | 1.868 | 1.299 | 0.616 | 0.000 | 0.299 | 0.000 | 0.331 | 23.446 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | A | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 281 | 461 | 322 | 0 | 1135 | 0 | 358 | 6465 |
| N.S. |
1 | 1.04 | 1.70 | 1.19 | 0.00 | 4.19 | 0.00 | 1.32 | 23.86 |
| time (sec) |
N/A | 1.865 | 4.252 | 0.740 | 0.000 | 7.225 | 0.000 | 0.343 | 26.593 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 185 | 336 | 232 | 0 | 852 | 0 | 382 | 4105 |
| N.S. |
1 | 1.21 | 2.20 | 1.52 | 0.00 | 5.57 | 0.00 | 2.50 | 26.83 |
| time (sec) |
N/A | 1.182 | 3.392 | 0.511 | 0.000 | 1.887 | 0.000 | 0.337 | 25.390 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | A | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 160 | 331 | 188 | 0 | 676 | 0 | 231 | 3838 |
| N.S. |
1 | 1.19 | 2.45 | 1.39 | 0.00 | 5.01 | 0.00 | 1.71 | 28.43 |
| time (sec) |
N/A | 0.821 | 2.596 | 0.411 | 0.000 | 1.423 | 0.000 | 0.332 | 24.325 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | A | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 125 | 148 | 270 | 169 | 0 | 543 | 0 | 205 | 3850 |
| N.S. |
1 | 1.18 | 2.16 | 1.35 | 0.00 | 4.34 | 0.00 | 1.64 | 30.80 |
| time (sec) |
N/A | 0.682 | 2.814 | 0.248 | 0.000 | 0.281 | 0.000 | 0.307 | 24.126 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 171 | 190 | 137 | 203 | 0 | 642 | 0 | 988 | 4113 |
| N.S. |
1 | 1.11 | 0.80 | 1.19 | 0.00 | 3.75 | 0.00 | 5.78 | 24.05 |
| time (sec) |
N/A | 1.064 | 1.331 | 0.431 | 0.000 | 0.300 | 0.000 | 0.418 | 24.480 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 256 | 268 | 176 | 266 | 0 | 838 | 0 | 315 | 6519 |
| N.S. |
1 | 1.05 | 0.69 | 1.04 | 0.00 | 3.27 | 0.00 | 1.23 | 25.46 |
| time (sec) |
N/A | 1.707 | 2.481 | 0.584 | 0.000 | 0.318 | 0.000 | 0.319 | 26.056 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | A | F | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 326 | 333 | 212 | 329 | 0 | 989 | 0 | 441 | 6978 |
| N.S. |
1 | 1.02 | 0.65 | 1.01 | 0.00 | 3.03 | 0.00 | 1.35 | 21.40 |
| time (sec) |
N/A | 2.354 | 3.888 | 0.752 | 0.000 | 0.339 | 0.000 | 0.346 | 26.382 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 381 | 406 | 559 | 462 | 0 | 2084 | 0 | 1187 | 10408 |
| N.S. |
1 | 1.07 | 1.47 | 1.21 | 0.00 | 5.47 | 0.00 | 3.12 | 27.32 |
| time (sec) |
N/A | 2.845 | 4.661 | 1.305 | 0.000 | 19.600 | 0.000 | 0.413 | 32.065 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 307 | 421 | 356 | 0 | 1552 | 0 | 521 | 7197 |
| N.S. |
1 | 1.13 | 1.55 | 1.31 | 0.00 | 5.73 | 0.00 | 1.92 | 26.56 |
| time (sec) |
N/A | 1.984 | 5.286 | 1.026 | 0.000 | 7.055 | 0.000 | 0.396 | 27.078 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 212 | 249 | 445 | 317 | 0 | 1317 | 0 | 509 | 6565 |
| N.S. |
1 | 1.17 | 2.10 | 1.50 | 0.00 | 6.21 | 0.00 | 2.40 | 30.97 |
| time (sec) |
N/A | 1.378 | 4.669 | 0.650 | 0.000 | 4.237 | 0.000 | 0.385 | 26.212 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 204 | 342 | 230 | 0 | 718 | 0 | 371 | 241 |
| N.S. |
1 | 1.15 | 1.93 | 1.30 | 0.00 | 4.06 | 0.00 | 2.10 | 1.36 |
| time (sec) |
N/A | 0.809 | 3.149 | 0.413 | 0.000 | 0.313 | 0.000 | 0.384 | 19.433 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 248 | 642 | 298 | 0 | 1059 | 0 | 484 | 6574 |
| N.S. |
1 | 1.23 | 3.18 | 1.48 | 0.00 | 5.24 | 0.00 | 2.40 | 32.54 |
| time (sec) |
N/A | 1.124 | 4.124 | 0.402 | 0.000 | 0.328 | 0.000 | 0.372 | 26.238 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | A | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 266 | 300 | 902 | 329 | 0 | 1219 | 0 | 491 | 7202 |
| N.S. |
1 | 1.13 | 3.39 | 1.24 | 0.00 | 4.58 | 0.00 | 1.85 | 27.08 |
| time (sec) |
N/A | 1.807 | 5.940 | 0.753 | 0.000 | 0.344 | 0.000 | 0.383 | 26.735 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 369 | 395 | 256 | 404 | 0 | 1554 | 0 | 2485 | 10471 |
| N.S. |
1 | 1.07 | 0.69 | 1.09 | 0.00 | 4.21 | 0.00 | 6.73 | 28.38 |
| time (sec) |
N/A | 2.612 | 3.566 | 0.949 | 0.000 | 0.380 | 0.000 | 0.644 | 31.173 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 434 | 564 | 532 | 0 | 2424 | 0 | 878 | 10065 |
| N.S. |
1 | 1.15 | 1.49 | 1.41 | 0.00 | 6.41 | 0.00 | 2.32 | 26.63 |
| time (sec) |
N/A | 2.893 | 7.825 | 1.136 | 0.000 | 16.523 | 0.000 | 0.404 | 29.441 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 370 | 531 | 502 | 0 | 2156 | 0 | 876 | 9753 |
| N.S. |
1 | 1.18 | 1.70 | 1.60 | 0.00 | 6.89 | 0.00 | 2.80 | 31.16 |
| time (sec) |
N/A | 2.189 | 7.633 | 1.121 | 0.000 | 12.963 | 0.000 | 0.415 | 34.136 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 261 | 304 | 221 | 374 | 0 | 1113 | 0 | 693 | 482 |
| N.S. |
1 | 1.16 | 0.85 | 1.43 | 0.00 | 4.26 | 0.00 | 2.66 | 1.85 |
| time (sec) |
N/A | 1.405 | 2.305 | 0.641 | 0.000 | 0.343 | 0.000 | 0.373 | 20.987 |