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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 308 | 308 | 263 | 995 | 0 | 514 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.85 | 3.23 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.582 | 1.027 | 10.019 | 0.000 | 0.194 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 249 | 214 | 827 | 0 | 474 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 3.32 | 0.00 | 1.90 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.422 | 0.671 | 7.885 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 197 | 177 | 662 | 0 | 437 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.90 | 3.36 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.305 | 0.498 | 6.553 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 222 | 379 | 528 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.71 | 2.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.664 | 1.095 | 6.062 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 222 | 390 | 960 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.76 | 4.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.725 | 1.465 | 10.753 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 270 | 270 | 395 | 1134 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.46 | 4.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.035 | 1.843 | 33.461 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 323 | 323 | 434 | 1742 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.34 | 5.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.351 | 2.666 | 103.948 | 0.000 | 0.000 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 211 | 824 | 0 | 474 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 3.35 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.539 | 0.787 | 7.396 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 138 | 92 | 275 | 0 | 148 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.67 | 1.99 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.294 | 0.282 | 5.999 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 81 | 253 | 0 | 138 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 2.41 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.214 | 0.182 | 3.357 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 78 | 78 | 69 | 231 | 0 | 128 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.88 | 2.96 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.128 | 0.096 | 2.727 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 23 | 137 | 0 | 108 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 5.96 | 0.00 | 4.70 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.014 | 0.042 | 3.663 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 48 | 48 | 41 | 158 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.85 | 3.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.137 | 0.101 | 2.309 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 157 | 350 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.65 | 3.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.373 | 10.874 | 3.777 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 135 | 194 | 408 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.44 | 3.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.418 | 0.901 | 4.085 | 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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 140 | 114 | 276 | 0 | 148 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.81 | 1.97 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.215 | 0.266 | 7.311 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 107 | 107 | 104 | 253 | 0 | 138 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.97 | 2.36 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.159 | 0.231 | 5.154 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 94 | 231 | 0 | 128 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.18 | 2.89 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.100 | 0.115 | 3.546 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 24 | 24 | 44 | 138 | 0 | 106 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.83 | 5.75 | 0.00 | 4.42 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.015 | 0.050 | 3.814 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 50 | 50 | 61 | 159 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.22 | 3.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.102 | 0.111 | 3.009 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 98 | 178 | 351 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.82 | 3.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.308 | 0.970 | 4.613 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 138 | 237 | 408 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.72 | 2.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.442 | 1.416 | 5.865 | 0.000 | 0.000 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 215 | 215 | 182 | 665 | 0 | 439 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.85 | 3.09 | 0.00 | 2.04 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.349 | 0.753 | 5.593 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
| 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 | 165 | 165 | 137 | 453 | 0 | 398 | 0 | 0 | 116 |
| N.S. |
1 | 1.00 | 0.83 | 2.75 | 0.00 | 2.41 | 0.00 | 0.00 | 0.70 |
| time (sec) |
N/A | 0.248 | 0.538 | 4.109 | 0.000 | 0.122 | 0.000 | 0.000 | 14.342 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 122 | 122 | 86 | 220 | 0 | 355 | 0 | 0 | 80 |
| N.S. |
1 | 1.00 | 0.70 | 1.80 | 0.00 | 2.91 | 0.00 | 0.00 | 0.66 |
| time (sec) |
N/A | 0.142 | 2.301 | 3.405 | 0.000 | 0.102 | 0.000 | 0.000 | 14.600 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 57 | 78 | 0 | 146 | 0 | 0 | 52 |
| N.S. |
1 | 1.00 | 1.00 | 1.37 | 0.00 | 2.56 | 0.00 | 0.00 | 0.91 |
| time (sec) |
N/A | 0.049 | 0.021 | 0.922 | 0.000 | 0.087 | 0.000 | 0.000 | 14.557 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 58 | 58 | 166 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 2.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.160 | 0.169 | 2.073 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 206 | 206 | 310 | 532 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.50 | 2.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.629 | 15.204 | 3.057 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 268 | 268 | 518 | 710 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.93 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.901 | 6.374 | 3.667 | 0.000 | 0.000 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 326 | 326 | 242 | 1285 | 0 | 687 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.74 | 3.94 | 0.00 | 2.11 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.603 | 1.028 | 6.158 | 0.000 | 0.161 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 257 | 257 | 197 | 743 | 0 | 630 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 2.89 | 0.00 | 2.45 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.388 | 0.740 | 5.738 | 0.000 | 0.151 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 186 | 159 | 530 | 0 | 567 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.85 | 2.85 | 0.00 | 3.05 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.252 | 0.594 | 5.251 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 170 | 170 | 137 | 373 | 0 | 527 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.81 | 2.19 | 0.00 | 3.10 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.217 | 0.417 | 3.541 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 106 | 106 | 83 | 217 | 0 | 482 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 2.05 | 0.00 | 4.55 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.088 | 0.131 | 3.013 | 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 | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 176 | 176 | 402 | 376 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.28 | 2.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.531 | 3.773 | 4.447 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 277 | 277 | 441 | 898 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.59 | 3.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.221 | 2.700 | 6.441 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 345 | 466 | 1546 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.35 | 4.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.269 | 4.585 | 8.819 | 0.000 | 0.000 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 436 | 436 | 272 | 1688 | 0 | 1040 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.62 | 3.87 | 0.00 | 2.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.972 | 1.525 | 12.064 | 0.000 | 0.206 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 345 | 237 | 1295 | 0 | 954 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.69 | 3.75 | 0.00 | 2.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.659 | 1.254 | 10.288 | 0.000 | 0.178 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 281 | 188 | 911 | 0 | 867 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.67 | 3.24 | 0.00 | 3.09 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.638 | 1.003 | 9.852 | 0.000 | 0.157 | 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 | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 263 | 263 | 175 | 850 | 0 | 814 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.67 | 3.23 | 0.00 | 3.10 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.536 | 0.919 | 8.480 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 243 | 243 | 154 | 746 | 0 | 765 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.63 | 3.07 | 0.00 | 3.15 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.320 | 0.770 | 7.803 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 221 | 221 | 158 | 489 | 0 | 692 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.71 | 2.21 | 0.00 | 3.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.270 | 0.609 | 5.956 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 320 | 320 | 464 | 849 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.45 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.988 | 3.231 | 9.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 380 | 380 | 517 | 1324 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.36 | 3.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.291 | 5.220 | 12.070 | 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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 282 | 282 | 189 | 616 | 0 | 985 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.67 | 2.18 | 0.00 | 3.49 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.444 | 0.923 | 7.513 | 0.000 | 0.166 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 111 | 81 | 231 | 0 | 136 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.73 | 2.08 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.247 | 0.254 | 3.845 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 78 | 78 | 70 | 231 | 0 | 128 | 0 | 0 | 78 |
| N.S. |
1 | 1.00 | 0.90 | 2.96 | 0.00 | 1.64 | 0.00 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.150 | 0.154 | 2.600 | 0.000 | 0.098 | 0.000 | 0.000 | 0.092 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 51 | 51 | 43 | 155 | 0 | 108 | 0 | 0 | 54 |
| N.S. |
1 | 1.00 | 0.84 | 3.04 | 0.00 | 2.12 | 0.00 | 0.00 | 1.06 |
| time (sec) |
N/A | 0.075 | 0.101 | 2.286 | 0.000 | 0.097 | 0.000 | 0.000 | 14.495 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 23 | 23 | 0 | 54 | 0 | 0 | 39 |
| N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.00 | 2.35 | 0.00 | 0.00 | 1.70 |
| time (sec) |
N/A | 0.016 | 0.048 | 0.440 | 0.000 | 0.086 | 0.000 | 0.000 | 14.816 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 24 | 24 | 24 | 138 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 5.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.061 | 0.107 | 1.839 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 101 | 101 | 158 | 350 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.56 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.428 | 0.786 | 2.526 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 137 | 195 | 408 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.42 | 2.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.455 | 0.890 | 3.092 | 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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 113 | 113 | 102 | 254 | 0 | 136 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.90 | 2.25 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.168 | 0.254 | 4.359 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 94 | 232 | 0 | 128 | 0 | 0 | 78 |
| N.S. |
1 | 1.00 | 1.18 | 2.90 | 0.00 | 1.60 | 0.00 | 0.00 | 0.98 |
| time (sec) |
N/A | 0.114 | 0.191 | 2.926 | 0.000 | 0.096 | 0.000 | 0.000 | 0.086 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 53 | 53 | 60 | 158 | 0 | 106 | 0 | 0 | 52 |
| N.S. |
1 | 1.00 | 1.13 | 2.98 | 0.00 | 2.00 | 0.00 | 0.00 | 0.98 |
| time (sec) |
N/A | 0.059 | 0.109 | 2.282 | 0.000 | 0.091 | 0.000 | 0.000 | 15.075 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 24 | 24 | 44 | 54 | 0 | 52 | 0 | 0 | 39 |
| N.S. |
1 | 1.00 | 1.83 | 2.25 | 0.00 | 2.17 | 0.00 | 0.00 | 1.62 |
| time (sec) |
N/A | 0.015 | 0.051 | 0.524 | 0.000 | 0.095 | 0.000 | 0.000 | 0.097 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 25 | 25 | 45 | 139 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.80 | 5.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.042 | 0.126 | 1.745 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 104 | 104 | 179 | 351 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.72 | 3.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.305 | 1.030 | 2.894 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 140 | 236 | 408 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.69 | 2.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.481 | 1.302 | 3.447 | 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 | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 111 | 77 | 290 | 0 | 148 | 0 | 0 | 87 |
| N.S. |
1 | 1.00 | 0.69 | 2.61 | 0.00 | 1.33 | 0.00 | 0.00 | 0.78 |
| time (sec) |
N/A | 0.095 | 0.400 | 9.743 | 0.000 | 0.102 | 0.000 | 0.000 | 15.231 |
| 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 | 87 | 87 | 66 | 262 | 0 | 137 | 0 | 0 | 80 |
| N.S. |
1 | 1.00 | 0.76 | 3.01 | 0.00 | 1.57 | 0.00 | 0.00 | 0.92 |
| time (sec) |
N/A | 0.081 | 0.192 | 7.898 | 0.000 | 0.098 | 0.000 | 0.000 | 15.098 |
| 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 | 61 | 61 | 53 | 229 | 0 | 125 | 0 | 0 | 53 |
| N.S. |
1 | 1.00 | 0.87 | 3.75 | 0.00 | 2.05 | 0.00 | 0.00 | 0.87 |
| time (sec) |
N/A | 0.064 | 0.104 | 6.597 | 0.000 | 0.094 | 0.000 | 0.000 | 0.178 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 35 | 152 | 0 | 107 | 0 | 0 | 33 |
| N.S. |
1 | 1.00 | 1.00 | 4.34 | 0.00 | 3.06 | 0.00 | 0.00 | 0.94 |
| time (sec) |
N/A | 0.046 | 0.078 | 3.369 | 0.000 | 0.093 | 0.000 | 0.000 | 0.232 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 51 | 150 | 0 | 156 | 0 | 0 | 60 |
| N.S. |
1 | 1.00 | 0.89 | 2.63 | 0.00 | 2.74 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.060 | 0.136 | 4.349 | 0.000 | 0.092 | 0.000 | 0.000 | 15.478 |
| 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 | 83 | 83 | 65 | 397 | 0 | 175 | 0 | 0 | 87 |
| N.S. |
1 | 1.00 | 0.78 | 4.78 | 0.00 | 2.11 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.069 | 0.306 | 6.824 | 0.000 | 0.101 | 0.000 | 0.000 | 15.617 |
| 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 | 111 | 111 | 95 | 502 | 0 | 188 | 0 | 0 | 87 |
| N.S. |
1 | 1.00 | 0.86 | 4.52 | 0.00 | 1.69 | 0.00 | 0.00 | 0.78 |
| time (sec) |
N/A | 0.089 | 0.248 | 9.332 | 0.000 | 0.106 | 0.000 | 0.000 | 15.756 |
| 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 | 160 | 160 | 113 | 398 | 0 | 195 | 0 | 0 | 135 |
| N.S. |
1 | 1.00 | 0.71 | 2.49 | 0.00 | 1.22 | 0.00 | 0.00 | 0.84 |
| time (sec) |
N/A | 0.143 | 0.797 | 17.908 | 0.000 | 0.109 | 0.000 | 0.000 | 15.230 |
| 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 | 135 | 135 | 98 | 362 | 0 | 180 | 0 | 0 | 128 |
| N.S. |
1 | 1.00 | 0.73 | 2.68 | 0.00 | 1.33 | 0.00 | 0.00 | 0.95 |
| time (sec) |
N/A | 0.137 | 0.639 | 10.986 | 0.000 | 0.103 | 0.000 | 0.000 | 15.164 |
| 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 | 101 | 101 | 79 | 357 | 0 | 162 | 0 | 0 | 102 |
| N.S. |
1 | 1.00 | 0.78 | 3.53 | 0.00 | 1.60 | 0.00 | 0.00 | 1.01 |
| time (sec) |
N/A | 0.115 | 0.402 | 9.503 | 0.000 | 0.099 | 0.000 | 0.000 | 15.364 |
| 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 | 72 | 72 | 64 | 283 | 0 | 147 | 0 | 0 | 76 |
| N.S. |
1 | 1.00 | 0.89 | 3.93 | 0.00 | 2.04 | 0.00 | 0.00 | 1.06 |
| time (sec) |
N/A | 0.099 | 0.577 | 7.045 | 0.000 | 0.098 | 0.000 | 0.000 | 14.717 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 68 | 68 | 62 | 202 | 0 | 178 | 0 | 0 | 81 |
| N.S. |
1 | 1.00 | 0.91 | 2.97 | 0.00 | 2.62 | 0.00 | 0.00 | 1.19 |
| time (sec) |
N/A | 0.109 | 0.438 | 6.907 | 0.000 | 0.100 | 0.000 | 0.000 | 15.294 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 73 | 420 | 0 | 198 | 0 | 0 | 108 |
| N.S. |
1 | 1.00 | 0.77 | 4.42 | 0.00 | 2.08 | 0.00 | 0.00 | 1.14 |
| time (sec) |
N/A | 0.126 | 0.664 | 8.408 | 0.000 | 0.112 | 0.000 | 0.000 | 15.576 |
| 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 | 135 | 135 | 124 | 633 | 0 | 223 | 0 | 0 | 113 |
| N.S. |
1 | 1.00 | 0.92 | 4.69 | 0.00 | 1.65 | 0.00 | 0.00 | 0.84 |
| time (sec) |
N/A | 0.134 | 0.503 | 11.749 | 0.000 | 0.105 | 0.000 | 0.000 | 15.457 |
| 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 | 194 | 194 | 137 | 470 | 0 | 227 | 0 | 0 | 178 |
| N.S. |
1 | 1.00 | 0.71 | 2.42 | 0.00 | 1.17 | 0.00 | 0.00 | 0.92 |
| time (sec) |
N/A | 0.262 | 1.002 | 13.529 | 0.000 | 0.115 | 0.000 | 0.000 | 14.771 |
| 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 | 159 | 159 | 110 | 421 | 0 | 205 | 0 | 0 | 146 |
| N.S. |
1 | 1.00 | 0.69 | 2.65 | 0.00 | 1.29 | 0.00 | 0.00 | 0.92 |
| time (sec) |
N/A | 0.232 | 0.777 | 12.034 | 0.000 | 0.113 | 0.000 | 0.000 | 14.575 |
| 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 | 116 | 116 | 84 | 412 | 0 | 185 | 0 | 0 | 125 |
| N.S. |
1 | 1.00 | 0.72 | 3.55 | 0.00 | 1.59 | 0.00 | 0.00 | 1.08 |
| time (sec) |
N/A | 0.199 | 0.571 | 9.484 | 0.000 | 0.115 | 0.000 | 0.000 | 14.750 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 124 | 86 | 303 | 0 | 214 | 0 | 0 | 124 |
| N.S. |
1 | 1.00 | 0.69 | 2.44 | 0.00 | 1.73 | 0.00 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.217 | 0.601 | 8.831 | 0.000 | 0.103 | 0.000 | 0.000 | 15.140 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F(-1) | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 120 | 120 | 85 | 558 | 0 | 222 | 0 | 0 | 128 |
| N.S. |
1 | 1.00 | 0.71 | 4.65 | 0.00 | 1.85 | 0.00 | 0.00 | 1.07 |
| time (sec) |
N/A | 0.220 | 1.093 | 9.727 | 0.000 | 0.111 | 0.000 | 0.000 | 15.466 |
| 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 | 149 | 149 | 125 | 711 | 0 | 244 | 0 | 0 | 156 |
| N.S. |
1 | 1.00 | 0.84 | 4.77 | 0.00 | 1.64 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.236 | 0.936 | 12.050 | 0.000 | 0.107 | 0.000 | 0.000 | 15.553 |
| 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 | 194 | 194 | 177 | 820 | 0 | 270 | 0 | 0 | 147 |
| N.S. |
1 | 1.00 | 0.91 | 4.23 | 0.00 | 1.39 | 0.00 | 0.00 | 0.76 |
| time (sec) |
N/A | 0.270 | 0.905 | 14.691 | 0.000 | 0.114 | 0.000 | 0.000 | 16.465 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 112 | 112 | 158 | 552 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.41 | 4.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.404 | 11.380 | 5.135 | 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 | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 75 | 75 | 81 | 227 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.08 | 3.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.177 | 10.404 | 4.180 | 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 | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 53 | 53 | 48 | 188 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.91 | 3.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.117 | 0.158 | 2.918 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 29 | 29 | 29 | 150 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 5.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.048 | 0.150 | 2.174 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 77 | 195 | 354 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.53 | 4.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.258 | 1.959 | 3.900 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 128 | 128 | 210 | 425 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.64 | 3.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.592 | 2.818 | 5.968 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 245 | 266 | 1070 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 4.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.779 | 1.251 | 17.418 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 185 | 185 | 251 | 815 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.36 | 4.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.528 | 1.238 | 17.084 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 163 | 194 | 794 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.19 | 4.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.431 | 2.208 | 5.815 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 148 | 148 | 229 | 713 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.55 | 4.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.423 | 2.605 | 5.603 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 157 | 157 | 238 | 612 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.52 | 3.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.474 | 2.334 | 4.747 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 217 | 217 | 278 | 847 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.28 | 3.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.760 | 1.784 | 6.607 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 281 | 294 | 981 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.05 | 3.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.063 | 2.273 | 9.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 346 | 346 | 354 | 2194 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.02 | 6.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.090 | 2.160 | 87.674 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 282 | 282 | 309 | 1935 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.10 | 6.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.103 | 1.922 | 88.056 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 264 | 264 | 284 | 1914 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.08 | 7.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.846 | 1.435 | 86.514 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 244 | 272 | 1836 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 7.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.749 | 1.352 | 9.605 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 250 | 250 | 291 | 1736 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.16 | 6.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.775 | 1.880 | 8.228 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 261 | 261 | 301 | 1176 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.15 | 4.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.839 | 1.812 | 6.320 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |