Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 252 | 252 | 198 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.378 | 2.682 | 0.658 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 175 | 175 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.145 | 18.929 | 0.394 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 173 | 173 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.132 | 0.740 | 0.365 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 173 | 173 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.132 | 8.261 | 0.400 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F(-1) | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 179 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.144 | 34.727 | 0.346 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 179 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.133 | 1.588 | 0.392 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 249 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.417 | 2.308 | 0.342 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 192 | 192 | 135 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.197 | 1.123 | 0.341 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 193 | 193 | 138 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.141 | 0.228 | 0.308 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 127 | 127 | 117 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.090 | 0.190 | 0.233 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 167 | 167 | 118 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.112 | 0.162 | 0.248 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 175 | 175 | 154 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.159 | 0.272 | 0.287 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 245 | 190 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.320 | 0.851 | 0.288 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 261 | 261 | 212 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.394 | 2.040 | 0.352 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 159 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.156 | 1.482 | 0.379 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 159 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.158 | 1.630 | 0.429 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 153 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.135 | 1.492 | 0.384 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F(-1) | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 155 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.155 | 1.516 | 0.380 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 65 | 65 | 116 | 788 | 139 | 287 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.78 | 12.12 | 2.14 | 4.42 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.077 | 1.083 | 13.366 | 0.480 | 0.977 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | C | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 45 | 45 | 67 | 734 | 127 | 228 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.49 | 16.31 | 2.82 | 5.07 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.056 | 0.609 | 13.114 | 0.517 | 0.667 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | C | C | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 28 | 28 | 111 | 246 | 114 | 191 | 0 | 0 | 22 |
| N.S. | 1 | 1.00 | 3.96 | 8.79 | 4.07 | 6.82 | 0.00 | 0.00 | 0.79 |
| time (sec) |
N/A | 0.037 | 0.534 | 12.310 | 0.519 | 0.664 | 0.000 | 0.000 | 5.414 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 47 | 47 | 71 | 420 | 127 | 278 | 0 | 0 | 102 |
| N.S. | 1 | 1.00 | 1.51 | 8.94 | 2.70 | 5.91 | 0.00 | 0.00 | 2.17 |
| time (sec) |
N/A | 0.057 | 0.773 | 26.532 | 0.487 | 0.667 | 0.000 | 0.000 | 5.645 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | C | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 65 | 65 | 136 | 475 | 142 | 329 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.09 | 7.31 | 2.18 | 5.06 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.076 | 1.111 | 25.324 | 0.543 | 0.827 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 104 | 1482 | 158 | 340 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.14 | 16.29 | 1.74 | 3.74 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.120 | 3.102 | 13.481 | 0.533 | 0.785 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 125 | 790 | 145 | 297 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.76 | 11.13 | 2.04 | 4.18 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.096 | 1.211 | 14.171 | 0.531 | 1.211 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | C | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 70 | 736 | 131 | 236 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.43 | 15.02 | 2.67 | 4.82 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.076 | 1.162 | 14.093 | 0.494 | 0.980 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | C | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 83 | 426 | 131 | 290 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.69 | 8.69 | 2.67 | 5.92 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.080 | 1.301 | 25.821 | 0.492 | 0.922 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 90 | 485 | 146 | 340 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.27 | 6.83 | 2.06 | 4.79 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.099 | 1.428 | 26.895 | 0.494 | 0.682 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 152 | 517 | 161 | 391 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.67 | 5.68 | 1.77 | 4.30 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.122 | 3.348 | 27.299 | 0.501 | 0.775 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 106 | 106 | 147 | 1482 | 158 | 340 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.39 | 13.98 | 1.49 | 3.21 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.147 | 2.207 | 14.354 | 0.492 | 0.653 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 88 | 88 | 125 | 790 | 145 | 297 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.42 | 8.98 | 1.65 | 3.38 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.124 | 1.797 | 14.082 | 0.482 | 0.613 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 64 | 64 | 125 | 748 | 144 | 281 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.95 | 11.69 | 2.25 | 4.39 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.084 | 1.886 | 30.175 | 0.494 | 0.521 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 86 | 147 | 485 | 148 | 341 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.71 | 5.64 | 1.72 | 3.97 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.129 | 2.031 | 28.401 | 0.504 | 0.492 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | A | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 106 | 106 | 164 | 520 | 161 | 390 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.55 | 4.91 | 1.52 | 3.68 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.163 | 2.528 | 29.317 | 0.501 | 0.467 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 220 | 220 | 213 | 1225 | 0 | 469 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.97 | 5.57 | 0.00 | 2.13 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.180 | 1.145 | 14.221 | 0.000 | 0.549 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 200 | 174 | 710 | 0 | 471 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.87 | 3.55 | 0.00 | 2.36 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.141 | 1.008 | 14.073 | 0.000 | 0.490 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 68 | 68 | 126 | 2687 | 0 | 269 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.85 | 39.51 | 0.00 | 3.96 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.088 | 0.942 | 13.597 | 0.000 | 0.493 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 200 | 174 | 4362 | 0 | 470 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.87 | 21.81 | 0.00 | 2.35 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.148 | 1.140 | 13.288 | 0.000 | 0.510 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 222 | 213 | 4381 | 0 | 548 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.96 | 19.73 | 0.00 | 2.47 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.176 | 1.162 | 27.552 | 0.000 | 0.473 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 252 | 252 | 232 | 1261 | 0 | 509 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.92 | 5.00 | 0.00 | 2.02 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.254 | 1.246 | 13.891 | 0.000 | 0.529 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 232 | 232 | 232 | 778 | 0 | 511 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 3.35 | 0.00 | 2.20 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.225 | 0.943 | 12.458 | 0.000 | 0.525 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 234 | 234 | 224 | 6915 | 0 | 509 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.96 | 29.55 | 0.00 | 2.18 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.224 | 0.915 | 13.384 | 0.000 | 0.454 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 234 | 234 | 222 | 6919 | 0 | 510 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.95 | 29.57 | 0.00 | 2.18 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.213 | 0.789 | 14.193 | 0.000 | 0.605 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 234 | 234 | 232 | 6924 | 0 | 508 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.99 | 29.59 | 0.00 | 2.17 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.228 | 1.209 | 13.559 | 0.000 | 1.003 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 254 | 254 | 232 | 6941 | 0 | 602 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.91 | 27.33 | 0.00 | 2.37 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.251 | 1.664 | 28.615 | 0.000 | 1.522 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 273 | 235 | 844 | 0 | 522 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.86 | 3.09 | 0.00 | 1.91 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.320 | 1.387 | 13.242 | 0.000 | 1.113 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 267 | 267 | 231 | 9445 | 0 | 518 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.87 | 35.37 | 0.00 | 1.94 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.309 | 1.026 | 14.033 | 0.000 | 1.265 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 141 | 154 | 5851 | 0 | 307 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.09 | 41.50 | 0.00 | 2.18 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.203 | 1.670 | 15.081 | 0.000 | 1.684 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 222 | 224 | 7710 | 0 | 520 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.01 | 34.73 | 0.00 | 2.34 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.211 | 2.061 | 14.421 | 0.000 | 1.126 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F(-2) | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 275 | 275 | 235 | 9482 | 0 | 522 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.85 | 34.48 | 0.00 | 1.90 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.323 | 2.079 | 13.631 | 0.000 | 1.038 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 174 | 174 | 149 | 1146 | 1134 | 380 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.86 | 6.59 | 6.52 | 2.18 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.313 | 1.385 | 41.190 | 0.632 | 0.919 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 140 | 125 | 1041 | 961 | 326 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.89 | 7.44 | 6.86 | 2.33 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.220 | 1.061 | 43.424 | 0.590 | 0.982 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 102 | 102 | 104 | 575 | 540 | 282 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.02 | 5.64 | 5.29 | 2.76 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.130 | 0.878 | 43.475 | 0.583 | 0.781 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 69 | 69 | 118 | 400 | 374 | 217 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.71 | 5.80 | 5.42 | 3.14 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.086 | 0.770 | 46.088 | 0.582 | 1.171 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | B | F | B | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 144 | 0 | 576 | 0 | 470 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 4.00 | 0.00 | 3.26 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.225 | 43.240 | 41.445 | 0.000 | 0.758 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 175 | 175 | 223 | 2093 | 0 | 610 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.27 | 11.96 | 0.00 | 3.49 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.269 | 2.913 | 41.987 | 0.000 | 0.990 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 218 | 218 | 161 | 1147 | 1181 | 402 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.74 | 5.26 | 5.42 | 1.84 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.429 | 1.919 | 47.147 | 0.645 | 0.742 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 139 | 135 | 1042 | 995 | 362 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.97 | 7.50 | 7.16 | 2.60 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.191 | 1.262 | 41.651 | 0.600 | 0.990 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 103 | 103 | 105 | 575 | 545 | 302 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.02 | 5.58 | 5.29 | 2.93 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.139 | 1.398 | 45.718 | 0.603 | 0.786 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 144 | 255 | 571 | 0 | 491 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.77 | 3.97 | 0.00 | 3.41 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.225 | 1.628 | 44.899 | 0.000 | 0.938 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 216 | 216 | 228 | 2091 | 0 | 637 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.06 | 9.68 | 0.00 | 2.95 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.409 | 2.553 | 48.268 | 0.000 | 0.977 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 222 | 167 | 1557 | 3165 | 466 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.75 | 7.01 | 14.26 | 2.10 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.431 | 2.676 | 46.271 | 0.794 | 1.076 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 176 | 176 | 161 | 1149 | 1267 | 409 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.91 | 6.53 | 7.20 | 2.32 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.237 | 1.983 | 47.778 | 0.632 | 0.798 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 142 | 142 | 142 | 1044 | 1059 | 366 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 7.35 | 7.46 | 2.58 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.186 | 1.552 | 46.198 | 0.598 | 0.951 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 179 | 176 | 888 | 0 | 570 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.98 | 4.96 | 0.00 | 3.18 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.320 | 2.580 | 49.075 | 0.000 | 0.836 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 179 | 179 | 241 | 740 | 0 | 648 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.35 | 4.13 | 0.00 | 3.62 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.310 | 2.406 | 44.735 | 0.000 | 0.769 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 222 | 222 | 318 | 2352 | 0 | 722 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.43 | 10.59 | 0.00 | 3.25 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.394 | 7.717 | 51.206 | 0.000 | 0.939 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 181 | 159 | 374 | 0 | 388 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.88 | 2.07 | 0.00 | 2.14 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.326 | 1.646 | 43.976 | 0.000 | 1.185 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 140 | 139 | 287 | 0 | 331 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.99 | 2.05 | 0.00 | 2.36 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.222 | 1.342 | 43.382 | 0.000 | 1.061 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 140 | 257 | 0 | 333 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.33 | 2.45 | 0.00 | 3.17 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.174 | 0.998 | 43.815 | 0.000 | 0.793 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 138 | 270 | 0 | 329 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.28 | 2.50 | 0.00 | 3.05 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.134 | 1.095 | 50.529 | 0.000 | 0.744 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 180 | 180 | 210 | 621 | 0 | 620 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.17 | 3.45 | 0.00 | 3.44 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.311 | 1.915 | 48.805 | 0.000 | 1.067 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 217 | 217 | 248 | 801 | 0 | 703 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.14 | 3.69 | 0.00 | 3.24 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.415 | 2.350 | 48.243 | 0.000 | 1.386 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 221 | 221 | 186 | 445 | 0 | 418 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.84 | 2.01 | 0.00 | 1.89 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.431 | 1.800 | 48.074 | 0.000 | 1.330 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 182 | 156 | 344 | 0 | 355 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.86 | 1.89 | 0.00 | 1.95 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.336 | 1.530 | 46.774 | 0.000 | 0.996 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 145 | 158 | 468 | 0 | 357 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.09 | 3.23 | 0.00 | 2.46 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.234 | 1.317 | 45.207 | 0.000 | 0.985 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 156 | 482 | 0 | 355 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.06 | 3.28 | 0.00 | 2.41 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.183 | 1.636 | 45.433 | 0.000 | 0.710 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 158 | 484 | 0 | 356 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.07 | 3.29 | 0.00 | 2.42 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.186 | 0.907 | 40.987 | 0.000 | 0.909 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 221 | 221 | 226 | 1111 | 0 | 650 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.02 | 5.03 | 0.00 | 2.94 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.413 | 2.649 | 48.086 | 0.000 | 0.918 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 258 | 268 | 1265 | 0 | 743 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.04 | 4.90 | 0.00 | 2.88 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.504 | 2.940 | 45.044 | 0.000 | 1.002 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 258 | 199 | 499 | 0 | 431 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.77 | 1.93 | 0.00 | 1.67 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.543 | 2.101 | 46.740 | 0.000 | 0.640 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 219 | 219 | 165 | 398 | 0 | 368 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.75 | 1.82 | 0.00 | 1.68 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.451 | 3.034 | 47.438 | 0.000 | 0.579 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 182 | 182 | 171 | 644 | 0 | 370 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.94 | 3.54 | 0.00 | 2.03 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.333 | 1.857 | 43.175 | 0.000 | 0.656 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 188 | 167 | 543 | 0 | 366 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.89 | 2.89 | 0.00 | 1.95 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.332 | 1.770 | 47.201 | 0.000 | 0.688 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 184 | 184 | 171 | 660 | 0 | 369 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.93 | 3.59 | 0.00 | 2.01 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.239 | 1.287 | 48.037 | 0.000 | 1.237 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 186 | 158 | 661 | 0 | 368 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.85 | 3.55 | 0.00 | 1.98 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.242 | 2.749 | 48.945 | 0.000 | 1.293 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 258 | 241 | 1578 | 0 | 662 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.93 | 6.12 | 0.00 | 2.57 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.525 | 3.824 | 46.564 | 0.000 | 0.969 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 139 | 925 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 6.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.270 | 8.360 | 0.781 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 72 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.135 | 2.639 | 0.658 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 37 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 4.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
| time (sec) |
N/A | 0.055 | 0.753 | 0.546 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F(-2) | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 157 | 157 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.196 | 2.803 | 0.834 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F(-2) | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 202 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.351 | 16.141 | 0.516 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.117 | 5.624 | 0.681 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 79 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.120 | 11.320 | 0.753 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 79 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.107 | 5.635 | 0.673 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 81 | 81 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.121 | 6.536 | 0.660 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 81 | 81 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.119 | 5.216 | 0.616 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | A | F(-1) | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 202 | 66 | 4321 | 162 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.33 | 21.39 | 0.80 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.154 | 0.236 | 19.129 | 0.524 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | A | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 184 | 184 | 65 | 2253 | 151 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.35 | 12.24 | 0.82 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.118 | 0.166 | 18.575 | 0.506 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | A | F(-1) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 166 | 166 | 153 | 2125 | 139 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.92 | 12.80 | 0.84 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.101 | 0.317 | 16.994 | 0.511 | 0.000 | 0.000 | 0.000 | 0.000 |