Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 396 | 376 | 373 | 347 | 420 | 8279 | 0 | 0 | 17912 |
| N.S. |
1 | 0.95 | 0.94 | 0.88 | 1.06 | 20.91 | 0.00 | 0.00 | 45.23 |
| time (sec) |
N/A | 1.666 | 5.270 | 0.493 | 0.305 | 1.170 | 0.000 | 0.000 | 11.351 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 390 | 365 | 325 | 339 | 408 | 8236 | 0 | 0 | 12531 |
| N.S. |
1 | 0.94 | 0.83 | 0.87 | 1.05 | 21.12 | 0.00 | 0.00 | 32.13 |
| time (sec) |
N/A | 1.682 | 4.563 | 0.487 | 0.292 | 0.812 | 0.000 | 0.000 | 23.940 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 385 | 360 | 326 | 339 | 402 | 8285 | 0 | 0 | 17010 |
| N.S. |
1 | 0.94 | 0.85 | 0.88 | 1.04 | 21.52 | 0.00 | 0.00 | 44.18 |
| time (sec) |
N/A | 1.576 | 4.059 | 0.070 | 0.315 | 0.660 | 0.000 | 0.000 | 11.163 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 389 | 364 | 406 | 343 | 411 | 8247 | 0 | 0 | 12659 |
| N.S. |
1 | 0.94 | 1.04 | 0.88 | 1.06 | 21.20 | 0.00 | 0.00 | 32.54 |
| time (sec) |
N/A | 1.572 | 6.216 | 0.087 | 0.329 | 0.862 | 0.000 | 0.000 | 19.617 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 396 | 375 | 235 | 347 | 419 | 8279 | 0 | 0 | 17833 |
| N.S. |
1 | 0.95 | 0.59 | 0.88 | 1.06 | 20.91 | 0.00 | 0.00 | 45.03 |
| time (sec) |
N/A | 1.724 | 3.146 | 0.094 | 0.281 | 1.262 | 0.000 | 0.000 | 11.357 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 444 | 418 | 358 | 356 | 464 | 8489 | 0 | 0 | 16740 |
| N.S. |
1 | 0.94 | 0.81 | 0.80 | 1.05 | 19.12 | 0.00 | 0.00 | 37.70 |
| time (sec) |
N/A | 2.199 | 4.347 | 0.090 | 0.287 | 2.096 | 0.000 | 0.000 | 16.348 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | A | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 493 | 463 | 495 | 372 | 502 | 8599 | 0 | 0 | 20088 |
| N.S. |
1 | 0.94 | 1.00 | 0.75 | 1.02 | 17.44 | 0.00 | 0.00 | 40.75 |
| time (sec) |
N/A | 2.701 | 6.240 | 0.089 | 0.287 | 3.374 | 0.000 | 0.000 | 21.833 |
| 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 | No | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 229 | 282 | 1092021 | 0 | 5600 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 1.22 | 4727.36 | 0.00 | 24.24 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.150 | 1.959 | 2.983 | 0.000 | 0.967 | 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 | No | TBD | TBD | TBD | TBD | TBD |
| size | 184 | 182 | 217 | 1091181 | 0 | 5584 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 1.18 | 5930.33 | 0.00 | 30.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.759 | 1.564 | 0.938 | 0.000 | 0.855 | 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(-2) | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 151 | 154 | 189 | 1089477 | 0 | 5450 | 0 | 0 | 286 |
| N.S. |
1 | 1.02 | 1.25 | 7215.08 | 0.00 | 36.09 | 0.00 | 0.00 | 1.89 |
| time (sec) |
N/A | 0.564 | 0.595 | 0.957 | 0.000 | 0.631 | 0.000 | 0.000 | 8.825 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 113 | 123 | 1084094 | 0 | 2625 | 0 | 0 | 224 |
| N.S. |
1 | 0.98 | 1.07 | 9426.90 | 0.00 | 22.83 | 0.00 | 0.00 | 1.95 |
| time (sec) |
N/A | 0.328 | 0.098 | 1.576 | 0.000 | 0.485 | 0.000 | 0.000 | 7.062 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 139 | 154 | 1089773 | 0 | 2696 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 7840.09 | 0.00 | 19.40 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.767 | 0.405 | 0.508 | 0.000 | 0.504 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 184 | 161 | 1090997 | 0 | 2743 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.89 | 6027.61 | 0.00 | 15.15 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.773 | 0.658 | 0.545 | 0.000 | 0.488 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 221 | 244 | 197 | 1092009 | 0 | 2779 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 0.89 | 4941.22 | 0.00 | 12.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.413 | 1.527 | 0.516 | 0.000 | 0.498 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 280 | 279 | 313 | 1347308 | 0 | 7354 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.12 | 4811.81 | 0.00 | 26.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.543 | 4.022 | 0.618 | 0.000 | 1.216 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F | B | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 226 | 226 | 466 | 1346578 | 0 | 7326 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.06 | 5958.31 | 0.00 | 32.42 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.138 | 6.255 | 2.675 | 0.000 | 1.133 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 183 | 219 | 1345543 | 0 | 7202 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.18 | 7234.10 | 0.00 | 38.72 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.890 | 2.538 | 0.588 | 0.000 | 1.142 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 152 | 147 | 203 | 1343060 | 0 | 7203 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.34 | 8835.92 | 0.00 | 47.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.523 | 0.804 | 0.654 | 0.000 | 0.706 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 163 | 175 | 1344189 | 0 | 3461 | 0 | 0 | 0 |
| N.S. |
1 | 1.12 | 1.21 | 9270.27 | 0.00 | 23.87 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.798 | 0.299 | 1.155 | 0.000 | 0.604 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 173 | 202 | 176 | 1345207 | 0 | 3507 | 0 | 0 | 0 |
| N.S. |
1 | 1.17 | 1.02 | 7775.76 | 0.00 | 20.27 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.134 | 0.919 | 1.145 | 0.000 | 0.541 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 224 | 258 | 197 | 1346704 | 0 | 3526 | 0 | 0 | 0 |
| N.S. |
1 | 1.15 | 0.88 | 6012.07 | 0.00 | 15.74 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.498 | 1.832 | 1.139 | 0.000 | 0.618 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 266 | 307 | 229 | 1346975 | 0 | 3585 | 0 | 0 | 0 |
| N.S. |
1 | 1.15 | 0.86 | 5063.82 | 0.00 | 13.48 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.951 | 3.066 | 1.195 | 0.000 | 0.561 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 332 | 334 | 349 | 1348388 | 0 | 9486 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.05 | 4061.41 | 0.00 | 28.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.064 | 3.502 | 1.178 | 0.000 | 1.725 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 277 | 292 | 300 | 1311074 | 0 | 9482 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.08 | 4733.12 | 0.00 | 34.23 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.858 | 3.309 | 1.168 | 0.000 | 1.379 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 231 | 235 | 264 | 1344637 | 0 | 9318 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.14 | 5820.94 | 0.00 | 40.34 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.378 | 2.165 | 0.648 | 0.000 | 1.504 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 184 | 221 | 1308215 | 0 | 9367 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.18 | 6958.59 | 0.00 | 49.82 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.009 | 0.824 | 0.686 | 0.000 | 1.374 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 183 | 184 | 244 | 1344862 | 0 | 9395 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.33 | 7348.97 | 0.00 | 51.34 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.929 | 2.307 | 0.649 | 0.000 | 1.357 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 205 | 170 | 1308720 | 0 | 5026 | 0 | 0 | 0 |
| N.S. |
1 | 1.13 | 0.93 | 7190.77 | 0.00 | 27.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.233 | 0.944 | 0.648 | 0.000 | 0.843 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 219 | 243 | 194 | 1346017 | 0 | 5025 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 0.89 | 6146.20 | 0.00 | 22.95 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.669 | 1.724 | 0.653 | 0.000 | 0.847 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 270 | 308 | 249 | 1309621 | 0 | 5085 | 0 | 0 | 0 |
| N.S. |
1 | 1.14 | 0.92 | 4850.45 | 0.00 | 18.83 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.090 | 3.737 | 0.652 | 0.000 | 0.858 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 318 | 354 | 300 | 1348361 | 0 | 5108 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 0.94 | 4240.13 | 0.00 | 16.06 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.658 | 4.327 | 0.673 | 0.000 | 0.881 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 232 | 243 | 270 | 946881 | 0 | 8244 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.16 | 4081.38 | 0.00 | 35.53 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.058 | 4.254 | 0.583 | 0.000 | 1.209 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 189 | 221 | 946041 | 0 | 8120 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.18 | 5032.13 | 0.00 | 43.19 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.769 | 1.923 | 0.628 | 0.000 | 1.082 | 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 | No | TBD | TBD | TBD | TBD | TBD |
| size | 152 | 147 | 189 | 943433 | 0 | 8112 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.24 | 6206.80 | 0.00 | 53.37 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.386 | 0.766 | 0.526 | 0.000 | 0.940 | 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(-1) | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 113 | 123 | 939566 | 0 | 3933 | 0 | 0 | 4102 |
| N.S. |
1 | 0.98 | 1.07 | 8170.14 | 0.00 | 34.20 | 0.00 | 0.00 | 35.67 |
| time (sec) |
N/A | 0.303 | 0.104 | 0.609 | 0.000 | 0.693 | 0.000 | 0.000 | 51.585 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 107 | 124 | 939323 | 0 | 3949 | 0 | 0 | 1716 |
| N.S. |
1 | 0.98 | 1.14 | 8617.64 | 0.00 | 36.23 | 0.00 | 0.00 | 15.74 |
| time (sec) |
N/A | 0.336 | 0.083 | 0.611 | 0.000 | 0.756 | 0.000 | 0.000 | 15.414 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 157 | 944868 | 0 | 4031 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.07 | 6427.67 | 0.00 | 27.42 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.451 | 0.436 | 0.658 | 0.000 | 0.699 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 185 | 172 | 945613 | 0 | 4096 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.96 | 5253.41 | 0.00 | 22.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.725 | 1.775 | 4.652 | 0.000 | 0.735 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 246 | 197 | 947049 | 0 | 4103 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.86 | 4135.59 | 0.00 | 17.92 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.972 | 2.918 | 0.651 | 0.000 | 0.684 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | B | F(-1) | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 250 | 278 | 270 | 763794 | 0 | 15640 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 1.08 | 3055.18 | 0.00 | 62.56 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.334 | 3.243 | 0.935 | 0.000 | 2.393 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 195 | 233 | 321 | 798946 | 0 | 15380 | 0 | 0 | 0 |
| N.S. |
1 | 1.19 | 1.65 | 4097.16 | 0.00 | 78.87 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.935 | 1.351 | 0.909 | 0.000 | 2.277 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 154 | 174 | 182 | 762100 | 0 | 7525 | 0 | 0 | 0 |
| N.S. |
1 | 1.13 | 1.18 | 4948.70 | 0.00 | 48.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.830 | 1.318 | 0.904 | 0.000 | 1.390 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 149 | 176 | 163 | 798213 | 0 | 7445 | 0 | 0 | 0 |
| N.S. |
1 | 1.18 | 1.09 | 5357.13 | 0.00 | 49.97 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.816 | 1.303 | 0.931 | 0.000 | 1.387 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 183 | 183 | 762116 | 0 | 7563 | 0 | 0 | 0 |
| N.S. |
1 | 1.15 | 1.15 | 4793.18 | 0.00 | 47.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.866 | 1.006 | 0.934 | 0.000 | 1.400 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 193 | 235 | 202 | 798721 | 0 | 7597 | 0 | 0 | 0 |
| N.S. |
1 | 1.22 | 1.05 | 4138.45 | 0.00 | 39.36 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.182 | 4.609 | 0.926 | 0.000 | 1.414 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 241 | 279 | 223 | 763924 | 0 | 7726 | 0 | 0 | 0 |
| N.S. |
1 | 1.16 | 0.93 | 3169.81 | 0.00 | 32.06 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.494 | 6.225 | 0.952 | 0.000 | 1.408 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | B | F(-1) | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 317 | 371 | 363 | 1492946 | 0 | 23240 | 0 | 0 | 0 |
| N.S. |
1 | 1.17 | 1.15 | 4709.61 | 0.00 | 73.31 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.017 | 6.296 | 1.316 | 0.000 | 4.366 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 251 | 310 | 423 | 1490358 | 0 | 23066 | 0 | 0 | 0 |
| N.S. |
1 | 1.24 | 1.69 | 5937.68 | 0.00 | 91.90 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.434 | 6.251 | 1.205 | 0.000 | 4.332 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 263 | 189 | 1488448 | 0 | 11334 | 0 | 0 | 0 |
| N.S. |
1 | 1.23 | 0.88 | 6955.36 | 0.00 | 52.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.320 | 2.904 | 1.266 | 0.000 | 2.372 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 199 | 246 | 198 | 1488163 | 0 | 11381 | 0 | 0 | 0 |
| N.S. |
1 | 1.24 | 0.99 | 7478.21 | 0.00 | 57.19 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.225 | 2.816 | 1.191 | 0.000 | 2.601 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 258 | 194 | 1487734 | 0 | 11374 | 0 | 0 | 0 |
| N.S. |
1 | 1.22 | 0.92 | 7050.87 | 0.00 | 53.91 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.250 | 3.846 | 1.221 | 0.000 | 2.400 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 212 | 264 | 235 | 1488187 | 0 | 11439 | 0 | 0 | 0 |
| N.S. |
1 | 1.25 | 1.11 | 7019.75 | 0.00 | 53.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.336 | 1.506 | 1.140 | 0.000 | 2.623 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 265 | 325 | 294 | 1489984 | 0 | 11517 | 0 | 0 | 0 |
| N.S. |
1 | 1.23 | 1.11 | 5622.58 | 0.00 | 43.46 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.696 | 2.951 | 1.224 | 0.000 | 2.510 | 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(-1) | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 298 | 363 | 483 | 1491406 | 0 | 11607 | 0 | 0 | 0 |
| N.S. |
1 | 1.22 | 1.62 | 5004.72 | 0.00 | 38.95 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.141 | 6.340 | 1.155 | 0.000 | 2.686 | 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 | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 87 | 89 | 480 | 0 | 1477 | 0 | 489 | 207 |
| N.S. |
1 | 0.98 | 1.00 | 5.39 | 0.00 | 16.60 | 0.00 | 5.49 | 2.33 |
| time (sec) |
N/A | 0.314 | 0.189 | 5.400 | 0.000 | 0.348 | 0.000 | 0.451 | 6.857 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 87 | 89 | 480 | 0 | 1477 | 0 | 489 | 89 |
| N.S. |
1 | 0.98 | 1.00 | 5.39 | 0.00 | 16.60 | 0.00 | 5.49 | 1.00 |
| time (sec) |
N/A | 0.297 | 0.155 | 4.965 | 0.000 | 0.341 | 0.000 | 0.447 | 7.187 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 87 | 101 | 439 | 0 | 1477 | 0 | 1061 | 205 |
| N.S. |
1 | 0.98 | 1.13 | 4.93 | 0.00 | 16.60 | 0.00 | 11.92 | 2.30 |
| time (sec) |
N/A | 0.302 | 0.195 | 4.131 | 0.000 | 0.347 | 0.000 | 0.615 | 8.325 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 87 | 101 | 439 | 0 | 1477 | 0 | 269 | 129 |
| N.S. |
1 | 0.98 | 1.13 | 4.93 | 0.00 | 16.60 | 0.00 | 3.02 | 1.45 |
| time (sec) |
N/A | 0.294 | 0.158 | 3.593 | 0.000 | 0.343 | 0.000 | 0.424 | 7.182 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 87 | 89 | 480 | 0 | 1485 | 0 | 479 | 204 |
| N.S. |
1 | 0.98 | 1.00 | 5.39 | 0.00 | 16.69 | 0.00 | 5.38 | 2.29 |
| time (sec) |
N/A | 0.305 | 0.190 | 4.378 | 0.000 | 0.344 | 0.000 | 0.460 | 7.237 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 87 | 101 | 439 | 0 | 1485 | 0 | 1061 | 201 |
| N.S. |
1 | 0.98 | 1.13 | 4.93 | 0.00 | 16.69 | 0.00 | 11.92 | 2.26 |
| time (sec) |
N/A | 0.293 | 0.186 | 3.206 | 0.000 | 0.346 | 0.000 | 0.595 | 7.745 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 87 | 89 | 480 | 0 | 1485 | 0 | 479 | 89 |
| N.S. |
1 | 0.98 | 1.00 | 5.39 | 0.00 | 16.69 | 0.00 | 5.38 | 1.00 |
| time (sec) |
N/A | 0.297 | 0.152 | 4.300 | 0.000 | 0.350 | 0.000 | 0.434 | 7.144 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-2) | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 87 | 101 | 439 | 0 | 1485 | 0 | 413 | 219 |
| N.S. |
1 | 0.98 | 1.13 | 4.93 | 0.00 | 16.69 | 0.00 | 4.64 | 2.46 |
| time (sec) |
N/A | 0.288 | 0.162 | 3.850 | 0.000 | 0.344 | 0.000 | 0.379 | 7.223 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 93 | 95 | 479 | 0 | 1477 | 0 | 0 | 207 |
| N.S. |
1 | 0.98 | 1.00 | 5.04 | 0.00 | 15.55 | 0.00 | 0.00 | 2.18 |
| time (sec) |
N/A | 0.260 | 0.086 | 4.270 | 0.000 | 0.338 | 0.000 | 0.000 | 6.645 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 93 | 95 | 479 | 0 | 1477 | 0 | 0 | 191 |
| N.S. |
1 | 0.98 | 1.00 | 5.04 | 0.00 | 15.55 | 0.00 | 0.00 | 2.01 |
| time (sec) |
N/A | 0.268 | 0.080 | 4.192 | 0.000 | 0.350 | 0.000 | 0.000 | 6.980 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 93 | 103 | 438 | 0 | 1477 | 0 | 641 | 205 |
| N.S. |
1 | 0.98 | 1.08 | 4.61 | 0.00 | 15.55 | 0.00 | 6.75 | 2.16 |
| time (sec) |
N/A | 0.263 | 0.070 | 4.211 | 0.000 | 0.347 | 0.000 | 0.903 | 6.008 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 93 | 103 | 438 | 0 | 1477 | 0 | 0 | 189 |
| N.S. |
1 | 0.98 | 1.08 | 4.61 | 0.00 | 15.55 | 0.00 | 0.00 | 1.99 |
| time (sec) |
N/A | 0.265 | 0.107 | 4.007 | 0.000 | 0.349 | 0.000 | 0.000 | 7.072 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 93 | 95 | 479 | 0 | 1485 | 0 | 498 | 207 |
| N.S. |
1 | 0.98 | 1.00 | 5.04 | 0.00 | 15.63 | 0.00 | 5.24 | 2.18 |
| time (sec) |
N/A | 0.272 | 0.084 | 3.869 | 0.000 | 0.343 | 0.000 | 1.301 | 6.458 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 93 | 103 | 438 | 0 | 1485 | 0 | 641 | 205 |
| N.S. |
1 | 0.98 | 1.08 | 4.61 | 0.00 | 15.63 | 0.00 | 6.75 | 2.16 |
| time (sec) |
N/A | 0.272 | 0.100 | 3.154 | 0.000 | 0.352 | 0.000 | 0.842 | 6.164 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 93 | 95 | 479 | 0 | 1485 | 0 | 498 | 191 |
| N.S. |
1 | 0.98 | 1.00 | 5.04 | 0.00 | 15.63 | 0.00 | 5.24 | 2.01 |
| time (sec) |
N/A | 0.275 | 0.088 | 4.148 | 0.000 | 0.343 | 0.000 | 1.316 | 7.313 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 93 | 103 | 438 | 0 | 1485 | 0 | 209 | 189 |
| N.S. |
1 | 0.98 | 1.08 | 4.61 | 0.00 | 15.63 | 0.00 | 2.20 | 1.99 |
| time (sec) |
N/A | 0.268 | 0.085 | 4.205 | 0.000 | 0.349 | 0.000 | 0.769 | 6.385 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F | A | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 466 | 425 | 153 | 341 | 0 | 73878 | 0 | 435 | 2137 |
| N.S. |
1 | 0.91 | 0.33 | 0.73 | 0.00 | 158.54 | 0.00 | 0.93 | 4.59 |
| time (sec) |
N/A | 1.574 | 0.420 | 0.175 | 0.000 | 1.629 | 0.000 | 0.599 | 14.179 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F | A | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 465 | 379 | 204 | 328 | 0 | 74435 | 0 | 424 | 2111 |
| N.S. |
1 | 0.82 | 0.44 | 0.71 | 0.00 | 160.08 | 0.00 | 0.91 | 4.54 |
| time (sec) |
N/A | 1.370 | 0.430 | 0.170 | 0.000 | 1.566 | 0.000 | 0.494 | 12.793 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F | A | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 467 | 341 | 162 | 340 | 0 | 73744 | 0 | 430 | 2050 |
| N.S. |
1 | 0.73 | 0.35 | 0.73 | 0.00 | 157.91 | 0.00 | 0.92 | 4.39 |
| time (sec) |
N/A | 1.163 | 0.289 | 0.193 | 0.000 | 1.628 | 0.000 | 0.612 | 14.144 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F(-1) | C | F | A | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 525 | 383 | 104 | 350 | 0 | 74494 | 0 | 457 | 3159 |
| N.S. |
1 | 0.73 | 0.20 | 0.67 | 0.00 | 141.89 | 0.00 | 0.87 | 6.02 |
| time (sec) |
N/A | 1.427 | 0.242 | 0.171 | 0.000 | 1.848 | 0.000 | 1.230 | 6.766 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 161 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.461 | 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 | B | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 161 | 7356 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 45.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.434 | 178.460 | 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(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 161 | 6076 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 37.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.422 | 58.560 | 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(-1) | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 161 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.399 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 161 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.406 | 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(-1) | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 161 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.443 | 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 | C | C | F | A | F | F(-1) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 525 | 497 | 371 | 130 | 0 | 663 | 0 | 0 | 1015 |
| N.S. |
1 | 0.95 | 0.71 | 0.25 | 0.00 | 1.26 | 0.00 | 0.00 | 1.93 |
| time (sec) |
N/A | 1.197 | 20.591 | 0.656 | 0.000 | 0.293 | 0.000 | 0.000 | 22.481 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F(-1) | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 373 | 321 | 442 | 120 | 0 | 544 | 0 | 0 | 890 |
| N.S. |
1 | 0.86 | 1.18 | 0.32 | 0.00 | 1.46 | 0.00 | 0.00 | 2.39 |
| time (sec) |
N/A | 1.051 | 1.199 | 0.650 | 0.000 | 0.292 | 0.000 | 0.000 | 13.232 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 439 | 405 | 313 | 79 | 0 | 582 | 0 | 0 | 881 |
| N.S. |
1 | 0.92 | 0.71 | 0.18 | 0.00 | 1.33 | 0.00 | 0.00 | 2.01 |
| time (sec) |
N/A | 0.700 | 0.844 | 0.516 | 0.000 | 0.279 | 0.000 | 0.000 | 10.065 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | A | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 318 | 254 | 346 | 88 | 0 | 476 | 0 | 17 | 830 |
| N.S. |
1 | 0.80 | 1.09 | 0.28 | 0.00 | 1.50 | 0.00 | 0.05 | 2.61 |
| time (sec) |
N/A | 0.677 | 0.263 | 0.509 | 0.000 | 0.288 | 0.000 | 2.604 | 9.024 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 415 | 379 | 294 | 60 | 0 | 536 | 0 | 0 | 863 |
| N.S. |
1 | 0.91 | 0.71 | 0.14 | 0.00 | 1.29 | 0.00 | 0.00 | 2.08 |
| time (sec) |
N/A | 0.559 | 0.226 | 0.966 | 0.000 | 0.290 | 0.000 | 0.000 | 8.596 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | A | F | F | B |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 402 | 368 | 744 | 0 | 0 | 562 | 0 | 0 | 2133 |
| N.S. |
1 | 0.92 | 1.85 | 0.00 | 0.00 | 1.40 | 0.00 | 0.00 | 5.31 |
| time (sec) |
N/A | 1.426 | 0.937 | 0.000 | 0.000 | 0.296 | 0.000 | 0.000 | 17.593 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | A | F | F | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 546 | 507 | 460 | 0 | 0 | 805 | 0 | 0 | 3239 |
| N.S. |
1 | 0.93 | 0.84 | 0.00 | 0.00 | 1.47 | 0.00 | 0.00 | 5.93 |
| time (sec) |
N/A | 1.331 | 3.526 | 0.000 | 0.000 | 0.301 | 0.000 | 0.000 | 25.333 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 329 | 259 | 300 | 89 | 0 | 2071 | 0 | 0 | 1540 |
| N.S. |
1 | 0.79 | 0.91 | 0.27 | 0.00 | 6.29 | 0.00 | 0.00 | 4.68 |
| time (sec) |
N/A | 0.657 | 1.048 | 0.536 | 0.000 | 0.408 | 0.000 | 0.000 | 11.928 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 327 | 257 | 365 | 90 | 0 | 1567 | 0 | 0 | 924 |
| N.S. |
1 | 0.79 | 1.12 | 0.28 | 0.00 | 4.79 | 0.00 | 0.00 | 2.83 |
| time (sec) |
N/A | 0.660 | 0.808 | 0.535 | 0.000 | 0.340 | 0.000 | 0.000 | 8.356 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 415 | 379 | 224 | 60 | 0 | 1011 | 0 | 0 | 1229 |
| N.S. |
1 | 0.91 | 0.54 | 0.14 | 0.00 | 2.44 | 0.00 | 0.00 | 2.96 |
| time (sec) |
N/A | 0.580 | 0.321 | 0.780 | 0.000 | 0.284 | 0.000 | 0.000 | 10.114 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 415 | 379 | 294 | 60 | 0 | 536 | 0 | 0 | 863 |
| N.S. |
1 | 0.91 | 0.71 | 0.14 | 0.00 | 1.29 | 0.00 | 0.00 | 2.08 |
| time (sec) |
N/A | 0.507 | 0.250 | 0.760 | 0.000 | 0.253 | 0.000 | 0.000 | 7.964 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 415 | 379 | 251 | 58 | 0 | 1225 | 0 | 0 | 817 |
| N.S. |
1 | 0.91 | 0.60 | 0.14 | 0.00 | 2.95 | 0.00 | 0.00 | 1.97 |
| time (sec) |
N/A | 0.480 | 0.253 | 0.611 | 0.000 | 0.260 | 0.000 | 0.000 | 8.267 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 415 | 379 | 313 | 57 | 0 | 2139 | 0 | 0 | 1048 |
| N.S. |
1 | 0.91 | 0.75 | 0.14 | 0.00 | 5.15 | 0.00 | 0.00 | 2.53 |
| time (sec) |
N/A | 0.494 | 0.406 | 0.659 | 0.000 | 0.316 | 0.000 | 0.000 | 9.432 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 336 | 273 | 106 | 101 | 0 | 4277 | 0 | 0 | 3130 |
| N.S. |
1 | 0.81 | 0.32 | 0.30 | 0.00 | 12.73 | 0.00 | 0.00 | 9.32 |
| time (sec) |
N/A | 0.667 | 0.272 | 0.539 | 0.000 | 0.378 | 0.000 | 0.000 | 8.266 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 338 | 275 | 106 | 100 | 0 | 4842 | 0 | 0 | 4348 |
| N.S. |
1 | 0.81 | 0.31 | 0.30 | 0.00 | 14.33 | 0.00 | 0.00 | 12.86 |
| time (sec) |
N/A | 0.714 | 0.145 | 0.551 | 0.000 | 0.434 | 0.000 | 0.000 | 7.320 |
| 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 | 261 | 269 | 191 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.419 | 1.874 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 198 | 199 | 141 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.854 | 0.846 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 140 | 116 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.502 | 0.509 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 103 | 103 | 99 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.324 | 0.310 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 174 | 142 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.797 | 0.526 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |