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 | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 230 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.903 | 0.593 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | B | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 103 | 103 | 55 | 551 | 190 | 434 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.53 | 5.35 | 1.84 | 4.21 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.260 | 0.764 | 0.611 | 0.375 | 0.265 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | B | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 78 | 78 | 54 | 528 | 174 | 382 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.69 | 6.77 | 2.23 | 4.90 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.269 | 0.531 | 0.451 | 0.401 | 0.248 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 53 | 53 | 64 | 508 | 155 | 316 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.21 | 9.58 | 2.92 | 5.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.168 | 0.772 | 0.362 | 0.371 | 0.243 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 55 | 55 | 63 | 422 | 155 | 364 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.15 | 7.67 | 2.82 | 6.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.206 | 0.727 | 0.364 | 0.760 | 0.249 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 86 | 220 | 177 | 429 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.08 | 2.75 | 2.21 | 5.36 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.293 | 1.041 | 0.357 | 0.295 | 0.250 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 99 | 470 | 191 | 482 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.94 | 4.48 | 1.82 | 4.59 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.354 | 1.988 | 0.403 | 0.309 | 0.268 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 128 | 128 | 74 | 253 | 198 | 448 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.58 | 1.98 | 1.55 | 3.50 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.521 | 1.581 | 0.716 | 0.305 | 0.264 | 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 | 103 | 103 | 78 | 230 | 180 | 394 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.76 | 2.23 | 1.75 | 3.83 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.516 | 3.075 | 0.704 | 0.300 | 0.251 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 99 | 99 | 69 | 218 | 174 | 385 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.70 | 2.20 | 1.76 | 3.89 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.368 | 2.568 | 0.391 | 0.324 | 0.248 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | B | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 90 | 225 | 180 | 439 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 2.14 | 1.71 | 4.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.354 | 4.508 | 0.373 | 0.298 | 0.252 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 130 | 97 | 243 | 199 | 505 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.75 | 1.87 | 1.53 | 3.88 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.421 | 4.873 | 0.376 | 0.308 | 0.260 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 171 | 171 | 113 | 275 | 218 | 508 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.66 | 1.61 | 1.27 | 2.97 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.597 | 1.926 | 1.313 | 0.293 | 0.284 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 146 | 146 | 113 | 252 | 200 | 449 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 1.73 | 1.37 | 3.08 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.535 | 3.585 | 1.237 | 0.305 | 0.268 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 138 | 113 | 241 | 194 | 409 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.82 | 1.75 | 1.41 | 2.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.499 | 2.999 | 1.210 | 0.310 | 0.265 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 142 | 142 | 113 | 236 | 197 | 442 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.80 | 1.66 | 1.39 | 3.11 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.696 | 2.954 | 0.460 | 0.299 | 0.254 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 148 | 148 | 110 | 243 | 203 | 502 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.74 | 1.64 | 1.37 | 3.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.746 | 5.937 | 0.422 | 0.303 | 0.269 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 173 | 173 | 132 | 261 | 221 | 563 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.76 | 1.51 | 1.28 | 3.25 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.804 | 6.343 | 0.425 | 0.303 | 0.279 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 186 | 543 | 0 | 716 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.63 | 1.83 | 0.00 | 2.41 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.787 | 3.469 | 0.407 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 268 | 268 | 159 | 513 | 0 | 623 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.59 | 1.91 | 0.00 | 2.32 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.514 | 2.379 | 0.360 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 235 | 235 | 137 | 342 | 0 | 570 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.58 | 1.46 | 0.00 | 2.43 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.418 | 3.151 | 0.433 | 0.000 | 0.256 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 237 | 237 | 136 | 127 | 0 | 571 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.57 | 0.54 | 0.00 | 2.41 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.433 | 3.382 | 0.434 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 276 | 276 | 154 | 143 | 0 | 700 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.56 | 0.52 | 0.00 | 2.54 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.660 | 4.020 | 0.375 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 307 | 307 | 178 | 161 | 0 | 794 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.58 | 0.52 | 0.00 | 2.59 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.779 | 5.571 | 0.410 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 317 | 317 | 221 | 762 | 0 | 669 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.70 | 2.40 | 0.00 | 2.11 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.963 | 5.415 | 0.407 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 284 | 284 | 198 | 681 | 0 | 666 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.70 | 2.40 | 0.00 | 2.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.689 | 4.195 | 0.425 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 274 | 274 | 196 | 146 | 0 | 663 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.72 | 0.53 | 0.00 | 2.42 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.643 | 3.162 | 0.505 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 284 | 284 | 197 | 144 | 0 | 666 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.69 | 0.51 | 0.00 | 2.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.826 | 4.384 | 0.524 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 319 | 319 | 215 | 157 | 0 | 761 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.67 | 0.49 | 0.00 | 2.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.067 | 4.939 | 0.448 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 367 | 367 | 248 | 180 | 0 | 688 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.68 | 0.49 | 0.00 | 1.87 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.142 | 5.997 | 0.398 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 318 | 318 | 223 | 162 | 0 | 683 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.70 | 0.51 | 0.00 | 2.15 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.849 | 4.588 | 0.450 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 316 | 316 | 196 | 155 | 0 | 635 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.62 | 0.49 | 0.00 | 2.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.980 | 5.790 | 0.546 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 308 | 308 | 203 | 150 | 0 | 637 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.66 | 0.49 | 0.00 | 2.07 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.101 | 4.332 | 0.520 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 310 | 217 | 158 | 0 | 685 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.70 | 0.51 | 0.00 | 2.21 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.964 | 5.761 | 0.549 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 367 | 367 | 242 | 178 | 0 | 783 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.66 | 0.49 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.074 | 7.085 | 0.599 | 0.000 | 0.279 | 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 | 198 | 198 | 154 | 638 | 1409 | 481 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 3.22 | 7.12 | 2.43 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.774 | 5.878 | 0.678 | 0.743 | 0.256 | 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 | 155 | 155 | 122 | 561 | 1157 | 430 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.79 | 3.62 | 7.46 | 2.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.519 | 4.150 | 0.561 | 0.502 | 0.254 | 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 | 110 | 110 | 102 | 442 | 558 | 370 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.93 | 4.02 | 5.07 | 3.36 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.340 | 3.042 | 0.561 | 0.404 | 0.252 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 152 | 152 | 161 | 506 | 0 | 576 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.06 | 3.33 | 0.00 | 3.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.605 | 3.436 | 0.556 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 192 | 192 | 233 | 316 | 0 | 793 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.21 | 1.65 | 0.00 | 4.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.928 | 3.754 | 0.678 | 0.000 | 0.256 | 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 | 245 | 245 | 359 | 804 | 3787 | 568 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.47 | 3.28 | 15.46 | 2.32 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.253 | 7.450 | 0.577 | 3.818 | 0.260 | 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 | 201 | 201 | 325 | 715 | 1457 | 510 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.62 | 3.56 | 7.25 | 2.54 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.767 | 6.638 | 0.532 | 0.740 | 0.266 | 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 | 157 | 157 | 291 | 626 | 1113 | 460 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.85 | 3.99 | 7.09 | 2.93 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.596 | 5.675 | 0.534 | 0.511 | 0.262 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 186 | 357 | 529 | 0 | 674 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.92 | 2.84 | 0.00 | 3.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.703 | 7.775 | 0.553 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 196 | 196 | 280 | 492 | 0 | 827 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.43 | 2.51 | 0.00 | 4.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.722 | 8.710 | 0.527 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 244 | 376 | 455 | 0 | 913 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.54 | 1.86 | 0.00 | 3.74 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.928 | 10.717 | 0.659 | 0.000 | 0.273 | 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 | 297 | 297 | 580 | 895 | 4543 | 629 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.95 | 3.01 | 15.30 | 2.12 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.672 | 11.115 | 1.599 | 4.828 | 0.272 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 251 | 251 | 524 | 806 | 4087 | 577 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.09 | 3.21 | 16.28 | 2.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.340 | 9.422 | 1.667 | 1.689 | 0.266 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 205 | 468 | 717 | 1545 | 515 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.28 | 3.50 | 7.54 | 2.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.835 | 8.458 | 1.586 | 0.691 | 0.264 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 230 | 230 | 575 | 628 | 0 | 780 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.50 | 2.73 | 0.00 | 3.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.892 | 8.300 | 1.664 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F(-1) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 236 | 236 | 506 | 573 | 0 | 849 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.14 | 2.43 | 0.00 | 3.60 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.268 | 8.250 | 0.539 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 454 | 572 | 0 | 923 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.85 | 2.33 | 0.00 | 3.75 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.310 | 11.226 | 0.527 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 524 | 542 | 0 | 1013 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.79 | 1.86 | 0.00 | 3.47 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.222 | 11.274 | 0.578 | 0.000 | 0.288 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 211 | 141 | 748 | 0 | 487 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.67 | 3.55 | 0.00 | 2.31 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.788 | 5.221 | 0.620 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 163 | 121 | 703 | 0 | 426 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.74 | 4.31 | 0.00 | 2.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.755 | 4.095 | 0.601 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 119 | 111 | 641 | 0 | 423 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.93 | 5.39 | 0.00 | 3.55 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.512 | 2.844 | 0.693 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 196 | 196 | 191 | 607 | 0 | 736 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.97 | 3.10 | 0.00 | 3.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.963 | 2.833 | 0.569 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 214 | 196 | 939 | 0 | 465 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.92 | 4.39 | 0.00 | 2.17 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.827 | 7.145 | 0.610 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 168 | 168 | 146 | 876 | 0 | 463 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 5.21 | 0.00 | 2.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.559 | 5.064 | 0.569 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 170 | 170 | 148 | 663 | 0 | 461 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 3.90 | 0.00 | 2.71 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.570 | 5.077 | 0.533 | 0.000 | 0.254 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 243 | 243 | 232 | 1233 | 0 | 782 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.95 | 5.07 | 0.00 | 3.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.082 | 5.866 | 0.535 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 223 | 1166 | 0 | 482 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 4.48 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.464 | 9.206 | 0.572 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 214 | 221 | 1094 | 0 | 481 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.03 | 5.11 | 0.00 | 2.25 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.852 | 5.721 | 0.585 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 216 | 216 | 222 | 856 | 0 | 482 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.03 | 3.96 | 0.00 | 2.23 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.863 | 5.633 | 0.543 | 0.000 | 0.253 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 214 | 224 | 1106 | 0 | 482 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.05 | 5.17 | 0.00 | 2.25 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.966 | 7.131 | 0.543 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 289 | 289 | 320 | 1552 | 0 | 799 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 5.37 | 0.00 | 2.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.537 | 9.973 | 0.546 | 0.000 | 0.266 | 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 | 179 | 179 | 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 | 0.752 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 247 | 247 | 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 | 0.897 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 194 | 194 | 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 | 0.637 | 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 | 158 | 158 | 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 | 0.426 | 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 | 215 | 215 | 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 | 0.665 | 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 | 291 | 291 | 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 | 1.023 | 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(-1) | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 383 | 383 | 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 | 1.458 | 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 | B | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 229 | 198 | 535 | 196 | 2267 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 2.34 | 0.86 | 9.90 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.350 | 1.026 | 0.472 | 0.334 | 0.701 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 205 | 179 | 512 | 178 | 2212 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 2.50 | 0.87 | 10.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.281 | 0.527 | 0.370 | 0.322 | 0.701 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 205 | 178 | 426 | 178 | 2216 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 2.08 | 0.87 | 10.81 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.272 | 0.228 | 0.362 | 0.302 | 0.709 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 229 | 198 | 223 | 198 | 2239 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 0.97 | 0.86 | 9.78 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.331 | 0.564 | 0.383 | 0.303 | 0.698 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 326 | 326 | 255 | 293 | 279 | 4325 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 0.90 | 0.86 | 13.27 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.648 | 2.023 | 0.687 | 0.301 | 2.267 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 294 | 294 | 226 | 252 | 252 | 4305 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 0.86 | 0.86 | 14.64 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.614 | 1.291 | 0.704 | 0.312 | 2.306 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 276 | 276 | 221 | 239 | 244 | 4248 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.80 | 0.87 | 0.88 | 15.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.486 | 0.903 | 0.414 | 0.306 | 2.278 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 283 | 283 | 226 | 244 | 254 | 4281 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.80 | 0.86 | 0.90 | 15.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.475 | 0.612 | 0.399 | 0.312 | 2.333 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 317 | 317 | 255 | 271 | 282 | 4293 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.80 | 0.85 | 0.89 | 13.54 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.559 | 1.226 | 0.407 | 0.406 | 2.365 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 421 | 421 | 326 | 1192 | 366 | 6214 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 2.83 | 0.87 | 14.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.969 | 3.912 | 1.182 | 0.452 | 6.606 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 380 | 380 | 286 | 1134 | 330 | 6162 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.75 | 2.98 | 0.87 | 16.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.860 | 2.468 | 1.220 | 0.410 | 6.464 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 374 | 374 | 270 | 1104 | 314 | 6154 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.72 | 2.95 | 0.84 | 16.45 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.810 | 2.193 | 1.220 | 0.652 | 6.379 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 372 | 372 | 270 | 1104 | 316 | 6105 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.73 | 2.97 | 0.85 | 16.41 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.750 | 2.241 | 0.453 | 0.315 | 6.202 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 380 | 380 | 287 | 956 | 334 | 6147 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.76 | 2.52 | 0.88 | 16.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.809 | 1.322 | 0.450 | 0.323 | 6.194 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 421 | 421 | 327 | 328 | 370 | 6167 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 0.78 | 0.88 | 14.65 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.899 | 2.686 | 0.479 | 0.321 | 6.199 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 325 | 325 | 272 | 772 | 262 | 6260 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.84 | 2.38 | 0.81 | 19.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.291 | 1.756 | 0.497 | 0.308 | 26.271 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 249 | 686 | 239 | 6056 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.84 | 2.31 | 0.80 | 20.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.868 | 0.954 | 0.385 | 0.326 | 11.525 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 278 | 278 | 215 | 531 | 221 | 6020 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 1.91 | 0.79 | 21.65 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.538 | 0.435 | 0.395 | 0.318 | 4.333 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 278 | 278 | 215 | 244 | 220 | 5992 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.77 | 0.88 | 0.79 | 21.55 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.527 | 0.441 | 0.400 | 0.316 | 3.091 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 251 | 265 | 238 | 6092 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.85 | 0.89 | 0.80 | 20.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.827 | 0.596 | 0.369 | 0.312 | 8.778 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 325 | 325 | 272 | 286 | 262 | 6176 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.84 | 0.88 | 0.81 | 19.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.220 | 1.111 | 0.391 | 0.317 | 21.242 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 438 | 438 | 383 | 2217 | 383 | 11904 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 5.06 | 0.87 | 27.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.499 | 5.877 | 0.391 | 0.317 | 37.586 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 392 | 392 | 341 | 1936 | 362 | 11827 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 4.94 | 0.92 | 30.17 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.084 | 2.790 | 0.415 | 0.418 | 23.694 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 390 | 390 | 336 | 332 | 347 | 11827 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.86 | 0.85 | 0.89 | 30.33 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.055 | 3.022 | 0.423 | 0.509 | 14.678 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 392 | 392 | 342 | 336 | 360 | 11824 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 0.86 | 0.92 | 30.16 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.080 | 2.683 | 0.444 | 0.733 | 19.641 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F(-1) | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 437 | 437 | 390 | 351 | 402 | 11930 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.89 | 0.80 | 0.92 | 27.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.937 | 3.628 | 0.458 | 0.332 | 35.180 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | A | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 601 | 601 | 617 | 4581 | 577 | 17988 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.03 | 7.62 | 0.96 | 29.93 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.149 | 6.565 | 0.417 | 0.322 | 187.830 | 0.000 | 0.000 | 0.000 |