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 | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 23 | 308 | 0 | 39 | 0 | 0 | 24 |
N.S. |
1 | 1.00 | 0.96 | 12.83 | 0.00 | 1.62 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.030 | 0.138 | 3.383 | 0.000 | 0.264 | 0.000 | 0.000 | 21.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 43 | 194 | 0 | 74 | 0 | 0 | 103 |
N.S. |
1 | 1.00 | 0.81 | 3.66 | 0.00 | 1.40 | 0.00 | 0.00 | 1.94 |
time (sec) |
N/A | 0.089 | 0.223 | 5.353 | 0.000 | 0.259 | 0.000 | 0.000 | 23.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 481 | 0 | 103 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 0.66 | 6.09 | 0.00 | 1.30 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.122 | 0.259 | 16.418 | 0.000 | 0.258 | 0.000 | 0.000 | 23.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 67 | 222 | 0 | 118 | 0 | 0 | 350 |
N.S. |
1 | 1.00 | 0.64 | 2.11 | 0.00 | 1.12 | 0.00 | 0.00 | 3.33 |
time (sec) |
N/A | 0.130 | 0.328 | 89.889 | 0.000 | 0.255 | 0.000 | 0.000 | 24.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 66 | 204 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.069 | 0.875 | 22.559 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 76 | 139 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.075 | 0.507 | 20.796 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 34 | 137 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.45 | 1.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.061 | 0.291 | 19.631 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 52 | 111 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.061 | 0.424 | 4.717 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 37 | 176 | 0 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 4.00 | 0.00 | 3.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.046 | 0.278 | 4.158 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 62 | 123 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 2.56 | 0.00 | 2.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.050 | 0.361 | 6.490 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 64 | 227 | 0 | 266 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 2.95 | 0.00 | 3.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.059 | 0.865 | 21.935 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 66 | 154 | 0 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 2.00 | 0.00 | 2.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.062 | 0.912 | 39.194 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 85 | 0 | 0 | 346 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.00 | 0.00 | 3.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.081 | 1.198 | 0.000 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 86 | 0 | 0 | 235 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.075 | 0.839 | 0.000 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 100 | 441 | 0 | 291 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 2.32 | 0.00 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.246 | 0.956 | 105.301 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 84 | 973 | 0 | 280 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 5.93 | 0.00 | 1.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 0.550 | 102.092 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 70 | 243 | 0 | 268 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 1.91 | 0.00 | 2.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 0.328 | 107.882 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 68 | 542 | 0 | 295 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 5.21 | 0.00 | 2.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.123 | 0.273 | 14.649 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 192 | 0 | 53 | 0 | 0 | 95 |
N.S. |
1 | 1.00 | 0.96 | 6.86 | 0.00 | 1.89 | 0.00 | 0.00 | 3.39 |
time (sec) |
N/A | 0.033 | 0.198 | 13.021 | 0.000 | 0.271 | 0.000 | 0.000 | 21.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 35 | 482 | 0 | 76 | 0 | 0 | 93 |
N.S. |
1 | 1.00 | 0.64 | 8.76 | 0.00 | 1.38 | 0.00 | 0.00 | 1.69 |
time (sec) |
N/A | 0.069 | 0.242 | 13.756 | 0.000 | 0.248 | 0.000 | 0.000 | 24.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 55 | 222 | 0 | 104 | 0 | 0 | 302 |
N.S. |
1 | 1.00 | 0.68 | 2.74 | 0.00 | 1.28 | 0.00 | 0.00 | 3.73 |
time (sec) |
N/A | 0.116 | 0.292 | 60.106 | 0.000 | 0.248 | 0.000 | 0.000 | 24.172 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 62 | 560 | 0 | 131 | 0 | 0 | 383 |
N.S. |
1 | 1.00 | 0.58 | 5.23 | 0.00 | 1.22 | 0.00 | 0.00 | 3.58 |
time (sec) |
N/A | 0.143 | 0.360 | 139.424 | 0.000 | 0.272 | 0.000 | 0.000 | 26.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 602 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 7.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.091 | 6.697 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.093 | 0.587 | 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 | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 278 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.080 | 1.433 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 254 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.093 | 1.398 | 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 | 85 | 85 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.100 | 0.562 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 2308 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 27.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.093 | 17.643 | 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 | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 47 | 111 | 91 | 46 | 270 | 46 | 46 |
N.S. |
1 | 1.00 | 0.77 | 1.82 | 1.49 | 0.75 | 4.43 | 0.75 | 0.75 |
time (sec) |
N/A | 0.081 | 0.807 | 4.973 | 0.218 | 0.263 | 25.606 | 0.315 | 19.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 47 | 97 | 80 | 73 | 233 | 80 | 45 |
N.S. |
1 | 1.00 | 0.77 | 1.59 | 1.31 | 1.20 | 3.82 | 1.31 | 0.74 |
time (sec) |
N/A | 0.073 | 0.380 | 2.831 | 0.207 | 0.264 | 11.059 | 0.300 | 19.708 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 83 | 69 | 36 | 199 | 36 | 36 |
N.S. |
1 | 1.00 | 0.80 | 1.80 | 1.50 | 0.78 | 4.33 | 0.78 | 0.78 |
time (sec) |
N/A | 0.068 | 0.300 | 1.531 | 0.207 | 0.255 | 4.835 | 0.283 | 19.471 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 69 | 58 | 53 | 162 | 58 | 36 |
N.S. |
1 | 1.00 | 0.80 | 1.50 | 1.26 | 1.15 | 3.52 | 1.26 | 0.78 |
time (sec) |
N/A | 0.073 | 0.151 | 0.891 | 0.195 | 0.254 | 2.042 | 0.287 | 0.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 27 | 55 | 47 | 26 | 128 | 26 | 26 |
N.S. |
1 | 1.00 | 0.87 | 1.77 | 1.52 | 0.84 | 4.13 | 0.84 | 0.84 |
time (sec) |
N/A | 0.062 | 0.091 | 0.500 | 0.193 | 0.259 | 0.769 | 0.459 | 19.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 27 | 41 | 36 | 33 | 90 | 36 | 26 |
N.S. |
1 | 1.00 | 0.87 | 1.32 | 1.16 | 1.06 | 2.90 | 1.16 | 0.84 |
time (sec) |
N/A | 0.058 | 0.071 | 0.345 | 0.207 | 0.249 | 0.359 | 0.316 | 0.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 15 | 27 | 26 | 13 | 53 | 13 | 43 |
N.S. |
1 | 1.00 | 0.50 | 0.90 | 0.87 | 0.43 | 1.77 | 0.43 | 1.43 |
time (sec) |
N/A | 0.014 | 0.009 | 0.224 | 0.194 | 0.244 | 0.173 | 0.293 | 19.789 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 42 | 22 | 84 | 30 | 0 | 28 | 12 |
N.S. |
1 | 1.00 | 3.00 | 1.57 | 6.00 | 2.14 | 0.00 | 2.00 | 0.86 |
time (sec) |
N/A | 0.025 | 0.019 | 0.345 | 0.195 | 0.247 | 0.000 | 0.300 | 20.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 29 | 31 | 233 | 50 | 0 | 38 | 26 |
N.S. |
1 | 1.00 | 1.04 | 1.11 | 8.32 | 1.79 | 0.00 | 1.36 | 0.93 |
time (sec) |
N/A | 0.052 | 0.061 | 0.569 | 0.310 | 0.255 | 0.000 | 0.328 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 143 | 53 | 974 | 96 | 0 | 63 | 49 |
N.S. |
1 | 1.00 | 2.92 | 1.08 | 19.88 | 1.96 | 0.00 | 1.29 | 1.00 |
time (sec) |
N/A | 0.074 | 0.522 | 1.181 | 0.215 | 0.260 | 0.000 | 0.412 | 0.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 31 | 69 | 1780 | 130 | 0 | 72 | 61 |
N.S. |
1 | 1.00 | 0.47 | 1.05 | 26.97 | 1.97 | 0.00 | 1.09 | 0.92 |
time (sec) |
N/A | 0.073 | 0.031 | 2.510 | 0.376 | 0.252 | 0.000 | 0.297 | 19.601 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 268 | 89 | 3846 | 148 | 0 | 85 | 78 |
N.S. |
1 | 1.00 | 3.01 | 1.00 | 43.21 | 1.66 | 0.00 | 0.96 | 0.88 |
time (sec) |
N/A | 0.089 | 0.733 | 5.290 | 0.331 | 0.251 | 0.000 | 0.286 | 0.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 68 | 74 | 72 | 36 | 597 | 36 | 35 |
N.S. |
1 | 1.00 | 1.55 | 1.68 | 1.64 | 0.82 | 13.57 | 0.82 | 0.80 |
time (sec) |
N/A | 0.087 | 0.413 | 2.984 | 0.220 | 0.262 | 11.304 | 0.304 | 19.369 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 62 | 66 | 65 | 66 | 434 | 68 | 109 |
N.S. |
1 | 1.00 | 0.82 | 0.87 | 0.86 | 0.87 | 5.71 | 0.89 | 1.43 |
time (sec) |
N/A | 0.096 | 0.143 | 1.654 | 0.209 | 0.251 | 4.913 | 0.296 | 21.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 48 | 52 | 50 | 26 | 362 | 26 | 26 |
N.S. |
1 | 1.00 | 1.71 | 1.86 | 1.79 | 0.93 | 12.93 | 0.93 | 0.93 |
time (sec) |
N/A | 0.077 | 0.091 | 0.941 | 0.193 | 0.251 | 2.053 | 0.463 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 40 | 44 | 43 | 47 | 231 | 46 | 43 |
N.S. |
1 | 1.00 | 0.82 | 0.90 | 0.88 | 0.96 | 4.71 | 0.94 | 0.88 |
time (sec) |
N/A | 0.069 | 0.077 | 0.536 | 0.221 | 0.247 | 0.822 | 0.313 | 19.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 30 | 26 | 13 | 133 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 2.00 | 1.73 | 0.87 | 8.87 | 0.87 | 0.87 |
time (sec) |
N/A | 0.045 | 0.007 | 0.350 | 0.218 | 0.243 | 0.367 | 0.277 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 27 | 13 | 82 | 14 | 0 | 13 | 14 |
N.S. |
1 | 1.00 | 1.93 | 0.93 | 5.86 | 1.00 | 0.00 | 0.93 | 1.00 |
time (sec) |
N/A | 0.035 | 0.008 | 0.475 | 0.226 | 0.260 | 0.000 | 0.278 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 53 | 19 | 0 | 13 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 4.08 | 1.46 | 0.00 | 1.00 | 0.85 |
time (sec) |
N/A | 0.051 | 0.011 | 1.240 | 0.244 | 0.251 | 0.000 | 0.346 | 19.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 43 | 24 | 656 | 65 | 0 | 41 | 36 |
N.S. |
1 | 1.00 | 1.43 | 0.80 | 21.87 | 2.17 | 0.00 | 1.37 | 1.20 |
time (sec) |
N/A | 0.064 | 0.038 | 0.919 | 0.224 | 0.259 | 0.000 | 0.432 | 19.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 48 | 46 | 308 | 54 | 0 | 35 | 37 |
N.S. |
1 | 1.00 | 1.14 | 1.10 | 7.33 | 1.29 | 0.00 | 0.83 | 0.88 |
time (sec) |
N/A | 0.075 | 0.353 | 5.418 | 0.231 | 0.249 | 0.000 | 0.322 | 19.599 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 54 | 62 | 3188 | 138 | 0 | 74 | 82 |
N.S. |
1 | 1.00 | 0.90 | 1.03 | 53.13 | 2.30 | 0.00 | 1.23 | 1.37 |
time (sec) |
N/A | 0.088 | 0.388 | 2.806 | 0.282 | 0.245 | 0.000 | 0.297 | 19.599 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 82 | 80 | 36 | 447 | 36 | 36 |
N.S. |
1 | 1.00 | 0.80 | 1.78 | 1.74 | 0.78 | 9.72 | 0.78 | 0.78 |
time (sec) |
N/A | 0.086 | 0.396 | 5.408 | 0.210 | 0.261 | 25.731 | 0.341 | 20.849 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 47 | 70 | 69 | 63 | 366 | 69 | 45 |
N.S. |
1 | 1.00 | 0.77 | 1.15 | 1.13 | 1.03 | 6.00 | 1.13 | 0.74 |
time (sec) |
N/A | 0.086 | 0.221 | 3.102 | 0.228 | 0.259 | 11.326 | 0.324 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 27 | 49 | 47 | 26 | 284 | 26 | 26 |
N.S. |
1 | 1.00 | 0.87 | 1.58 | 1.52 | 0.84 | 9.16 | 0.84 | 0.84 |
time (sec) |
N/A | 0.073 | 0.103 | 1.610 | 0.204 | 0.247 | 4.921 | 0.527 | 19.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 48 | 47 | 43 | 202 | 47 | 36 |
N.S. |
1 | 1.00 | 0.80 | 1.04 | 1.02 | 0.93 | 4.39 | 1.02 | 0.78 |
time (sec) |
N/A | 0.075 | 0.066 | 0.849 | 0.206 | 0.243 | 2.102 | 0.358 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 41 | 34 | 13 | 117 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 2.73 | 2.27 | 0.87 | 7.80 | 0.87 | 0.87 |
time (sec) |
N/A | 0.047 | 0.009 | 0.454 | 0.202 | 0.254 | 0.794 | 0.310 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 46 | 29 | 92 | 38 | 0 | 36 | 22 |
N.S. |
1 | 1.00 | 1.64 | 1.04 | 3.29 | 1.36 | 0.00 | 1.29 | 0.79 |
time (sec) |
N/A | 0.054 | 0.017 | 1.060 | 0.222 | 0.249 | 0.000 | 0.283 | 0.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 14 | 84 | 13 | 0 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 6.46 | 1.00 | 0.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.044 | 0.011 | 2.234 | 0.213 | 0.255 | 0.000 | 0.348 | 0.026 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 79 | 39 | 558 | 72 | 0 | 48 | 36 |
N.S. |
1 | 1.00 | 2.32 | 1.15 | 16.41 | 2.12 | 0.00 | 1.41 | 1.06 |
time (sec) |
N/A | 0.049 | 0.013 | 5.292 | 0.215 | 0.258 | 0.000 | 0.437 | 19.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 31 | 41 | 834 | 94 | 0 | 52 | 38 |
N.S. |
1 | 1.00 | 0.72 | 0.95 | 19.40 | 2.19 | 0.00 | 1.21 | 0.88 |
time (sec) |
N/A | 0.068 | 0.031 | 10.375 | 0.322 | 0.267 | 0.000 | 0.328 | 19.306 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 195 | 71 | 2237 | 132 | 0 | 73 | 66 |
N.S. |
1 | 1.00 | 2.79 | 1.01 | 31.96 | 1.89 | 0.00 | 1.04 | 0.94 |
time (sec) |
N/A | 0.095 | 0.879 | 19.832 | 0.274 | 0.253 | 0.000 | 0.291 | 19.572 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 98 | 221760772 | 0 | 290 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1630593.91 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.119 | 0.605 | 71.553 | 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 | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 86 | 85939054 | 0 | 281 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 781264.13 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.081 | 0.321 | 16.618 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 70 | 5537888 | 0 | 266 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 65927.24 | 0.00 | 3.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.051 | 0.202 | 2.019 | 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 | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 52 | 18441891 | 0 | 242 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 317963.64 | 0.00 | 4.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.026 | 0.156 | 2.068 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 23 | 57905011 | 0 | 39 | 0 | 2029 | 24 |
N.S. |
1 | 1.00 | 0.96 | 2412708.79 | 0.00 | 1.62 | 0.00 | 84.54 | 1.00 |
time (sec) |
N/A | 0.022 | 0.023 | 6.415 | 0.000 | 0.258 | 0.000 | 13.871 | 20.158 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 43 | 194 | 0 | 74 | 0 | 7875 | 104 |
N.S. |
1 | 1.00 | 0.81 | 3.66 | 0.00 | 1.40 | 0.00 | 148.58 | 1.96 |
time (sec) |
N/A | 0.048 | 0.298 | 14.079 | 0.000 | 0.247 | 0.000 | 53.653 | 23.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 481 | 0 | 103 | 0 | 18022 | 136 |
N.S. |
1 | 1.00 | 0.66 | 6.09 | 0.00 | 1.30 | 0.00 | 228.13 | 1.72 |
time (sec) |
N/A | 0.074 | 0.385 | 231.201 | 0.000 | 0.254 | 0.000 | 181.760 | 23.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 67 | 222 | 0 | 118 | 0 | 0 | 350 |
N.S. |
1 | 1.00 | 0.64 | 2.11 | 0.00 | 1.12 | 0.00 | 0.00 | 3.33 |
time (sec) |
N/A | 0.098 | 0.509 | 157.895 | 0.000 | 0.277 | 0.000 | 0.000 | 24.201 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 96 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.076 | 0.722 | 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 | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 66 | 364390662 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 5281024.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.058 | 0.568 | 152.693 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 76 | 198204147 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 2872523.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.059 | 0.776 | 49.126 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 34 | 26159851 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 653996.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.042 | 0.352 | 5.164 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 54 | 67488705 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.35 | 1687217.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.048 | 1.559 | 9.333 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 39 | 107396897 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 2334715.15 | 0.00 | 3.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.050 | 0.348 | 11.489 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 62 | 123 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 2.56 | 0.00 | 2.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.050 | 0.888 | 27.506 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 64 | 227 | 0 | 266 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 2.95 | 0.00 | 3.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.057 | 1.088 | 145.204 | 0.000 | 0.106 | 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 | No | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 99 | 523275790 | 0 | 291 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 3847616.10 | 0.00 | 2.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.122 | 0.628 | 204.947 | 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 | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 84 | 103475646 | 0 | 280 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 940687.69 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.099 | 0.355 | 18.148 | 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 | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 73 | 213968312 | 0 | 268 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 2547241.81 | 0.00 | 3.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.065 | 0.345 | 36.608 | 0.000 | 0.265 | 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 | No | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 70 | 211562444 | 0 | 295 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 2580029.80 | 0.00 | 3.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.093 | 0.347 | 35.435 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 192 | 0 | 53 | 0 | 15292 | 94 |
N.S. |
1 | 1.00 | 0.96 | 6.86 | 0.00 | 1.89 | 0.00 | 546.14 | 3.36 |
time (sec) |
N/A | 0.038 | 0.378 | 68.588 | 0.000 | 0.260 | 0.000 | 104.028 | 22.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 35 | 482 | 0 | 76 | 0 | 0 | 93 |
N.S. |
1 | 1.00 | 0.64 | 8.76 | 0.00 | 1.38 | 0.00 | 0.00 | 1.69 |
time (sec) |
N/A | 0.063 | 0.562 | 230.854 | 0.000 | 0.278 | 0.000 | 0.000 | 23.660 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 55 | 0 | 0 | 104 | 0 | 0 | 302 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 1.28 | 0.00 | 0.00 | 3.73 |
time (sec) |
N/A | 0.083 | 0.803 | 0.000 | 0.000 | 0.255 | 0.000 | 0.000 | 23.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 62 | 0 | 0 | 131 | 0 | 0 | 383 |
N.S. |
1 | 1.00 | 0.58 | 0.00 | 0.00 | 1.22 | 0.00 | 0.00 | 3.58 |
time (sec) |
N/A | 0.114 | 1.054 | 0.000 | 0.000 | 0.255 | 0.000 | 0.000 | 25.365 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 29 | 98 | 0 | 137 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 3.16 | 0.00 | 4.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.017 | 0.054 | 0.629 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 99 | 0 | 137 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 3.96 | 0.00 | 5.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 0.043 | 0.497 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 2472 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 29.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.087 | 13.908 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 63 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.092 | 0.693 | 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 | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 567 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 6.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.072 | 5.282 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 60 | 58 | 36 | 318 | 36 | 36 |
N.S. |
1 | 1.00 | 0.80 | 1.30 | 1.26 | 0.78 | 6.91 | 0.78 | 0.78 |
time (sec) |
N/A | 0.113 | 0.274 | 3.158 | 0.240 | 0.250 | 10.970 | 0.334 | 19.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 182 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.930 | 2.756 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 86 | 84 | 916 | 122 | 921 | 84 | 311 |
N.S. |
1 | 1.00 | 0.95 | 0.92 | 10.07 | 1.34 | 10.12 | 0.92 | 3.42 |
time (sec) |
N/A | 0.098 | 0.631 | 0.799 | 0.292 | 0.254 | 1.853 | 0.279 | 21.328 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 69 | 57 | 414 | 71 | 408 | 56 | 98 |
N.S. |
1 | 1.00 | 1.11 | 0.92 | 6.68 | 1.15 | 6.58 | 0.90 | 1.58 |
time (sec) |
N/A | 0.067 | 0.810 | 0.532 | 0.246 | 0.257 | 0.667 | 0.296 | 20.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 40 | 40 | 42 | 153 | 40 | 84 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.93 | 0.98 | 3.56 | 0.93 | 1.95 |
time (sec) |
N/A | 0.046 | 0.231 | 0.343 | 0.247 | 0.248 | 0.308 | 0.287 | 20.713 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 68 | 108 | 31 | 333 | 236 | 111 |
N.S. |
1 | 1.00 | 1.00 | 2.62 | 4.15 | 1.19 | 12.81 | 9.08 | 4.27 |
time (sec) |
N/A | 0.033 | 0.184 | 1.061 | 0.288 | 0.279 | 4.450 | 0.303 | 20.651 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 90 | 115 | 454 | 71 | 3264 | 349 | 252 |
N.S. |
1 | 1.00 | 2.50 | 3.19 | 12.61 | 1.97 | 90.67 | 9.69 | 7.00 |
time (sec) |
N/A | 0.043 | 0.125 | 1.375 | 0.288 | 0.261 | 54.943 | 0.316 | 25.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 35 | 63 | 399 | 47 | 0 | 145 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.62 | 10.23 | 1.21 | 0.00 | 3.72 | 0.00 |
time (sec) |
N/A | 0.057 | 0.226 | 1.697 | 0.224 | 0.242 | 0.000 | 0.310 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 67 | 189 | 1773 | 141 | 0 | 2221 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.82 | 26.46 | 2.10 | 0.00 | 33.15 | 0.00 |
time (sec) |
N/A | 0.057 | 0.632 | 3.848 | 0.300 | 0.259 | 0.000 | 0.324 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 58 | 97 | 1076 | 75 | 0 | 301 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.62 | 17.93 | 1.25 | 0.00 | 5.02 | 0.00 |
time (sec) |
N/A | 0.056 | 0.430 | 3.747 | 0.237 | 0.256 | 0.000 | 0.320 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 79 | 257 | 3879 | 197 | 0 | 8035 | 0 |
N.S. |
1 | 1.00 | 0.84 | 2.73 | 41.27 | 2.10 | 0.00 | 85.48 | 0.00 |
time (sec) |
N/A | 0.079 | 1.347 | 13.880 | 0.427 | 0.259 | 0.000 | 0.364 | 0.000 |