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 | F | A | C | F | C | F(-1) | F | B |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 66 | 251 | 0 | 673 | 0 | 0 | 453 |
N.S. |
1 | 0.00 | 0.70 | 2.67 | 0.00 | 7.16 | 0.00 | 0.00 | 4.82 |
time (sec) |
N/A | 0.000 | 11.969 | 0.704 | 0.000 | 0.668 | 0.000 | 0.000 | 6.518 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 169 | 142 | 127 | 0 | 0 | 0 | 209 | 75 |
N.S. |
1 | 1.80 | 1.51 | 1.35 | 0.00 | 0.00 | 0.00 | 2.22 | 0.80 |
time (sec) |
N/A | 0.387 | 0.396 | 2.325 | 0.000 | 0.000 | 0.000 | 0.305 | 6.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 169 | 142 | 127 | 0 | 0 | 0 | 209 | 75 |
N.S. |
1 | 1.80 | 1.51 | 1.35 | 0.00 | 0.00 | 0.00 | 2.22 | 0.80 |
time (sec) |
N/A | 0.378 | 0.355 | 1.027 | 0.000 | 0.000 | 0.000 | 0.322 | 6.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 73 | 80 | 0 | 392 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.78 | 0.85 | 0.00 | 4.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.678 | 2.148 | 0.000 | 0.447 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 73 | 80 | 0 | 382 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.78 | 0.85 | 0.00 | 4.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.690 | 1.355 | 0.000 | 0.434 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 87 | 81 | 93 | 0 | 83 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.86 | 0.99 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.928 | 5.087 | 3.524 | 0.000 | 0.361 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 313 | 94 | 95 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 3.33 | 1.00 | 1.01 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.980 | 0.939 | 27.092 | 0.000 | 9.822 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 247 | 94 | 95 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 2.63 | 1.00 | 1.01 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.872 | 0.930 | 8.448 | 0.000 | 5.406 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-1) | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 128 | 0 | 26 | 0 | 36 | 0 | 26 |
N.S. |
1 | 0.00 | 1.36 | 0.00 | 0.28 | 0.00 | 0.38 | 0.00 | 0.28 |
time (sec) |
N/A | 0.000 | 0.380 | 0.000 | 0.300 | 0.000 | 104.328 | 0.000 | 5.889 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-1) | N/A | F(-2) | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 128 | 0 | 26 | 0 | 36 | 0 | 26 |
N.S. |
1 | 0.00 | 1.36 | 0.00 | 0.28 | 0.00 | 0.38 | 0.00 | 0.28 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 0.321 | 0.000 | 108.872 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 347 | 112 | 136 | 0 | 227 | 0 | 0 | 0 |
N.S. |
1 | 3.69 | 1.19 | 1.45 | 0.00 | 2.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.915 | 0.527 | 49.716 | 0.000 | 11.622 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 94 | 33 | 35 | 829 | 32 | 35 | 35 |
N.S. |
1 | 0.00 | 1.00 | 0.35 | 0.37 | 8.82 | 0.34 | 0.37 | 0.37 |
time (sec) |
N/A | 0.000 | 0.269 | 0.273 | 1.419 | 0.313 | 0.536 | 41.680 | 5.926 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 94 | 33 | 35 | 829 | 32 | 35 | 35 |
N.S. |
1 | 0.00 | 1.00 | 0.35 | 0.37 | 8.82 | 0.34 | 0.37 | 0.37 |
time (sec) |
N/A | 0.000 | 0.003 | 0.000 | 1.470 | 0.307 | 0.567 | 40.018 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 86 | 35 | 90 | 78 | 104 | 53 | 0 | 104 |
N.S. |
1 | 0.91 | 0.37 | 0.95 | 0.82 | 1.09 | 0.56 | 0.00 | 1.09 |
time (sec) |
N/A | 0.289 | 10.026 | 3.038 | 0.264 | 0.427 | 1.236 | 0.000 | 6.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 95 | 93 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.232 | 9.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | F | A | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 95 | 233 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 6.246 | 3.552 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 95 | 219 | 0 | 295 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 2.31 | 0.00 | 3.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.398 | 7.161 | 0.000 | 15.427 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 0 | 97 | 0 | 355 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.02 | 0.00 | 3.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 19.772 | 0.000 | 65.503 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 75 | 86 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.79 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 6.861 | 2.921 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 95 | 129 | 0 | 311 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.36 | 0.00 | 3.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.547 | 26.140 | 0.000 | 112.854 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 66 | 131 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 1.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.134 | 2.115 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 77 | 99 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.075 | 1.411 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 62 | 59 | 0 | 241 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.65 | 0.62 | 0.00 | 2.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.327 | 6.335 | 0.000 | 0.578 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 0 | 90 | 72 | 0 | 567 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 0.76 | 0.00 | 5.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.367 | 8.741 | 0.000 | 0.416 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 96 | 67 | 92 | 33 | 94 | 88 | 36 | 0 | 0 |
N.S. |
1 | 0.70 | 0.96 | 0.34 | 0.98 | 0.92 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 0.157 | 2.786 | 0.285 | 0.302 | 0.754 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 68 | 90 | 17 | 94 | 88 | 31 | 0 | 0 |
N.S. |
1 | 0.71 | 0.94 | 0.18 | 0.98 | 0.92 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 0.143 | 2.001 | 0.271 | 0.274 | 0.608 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 95 | 142 | 17 | 0 | 95 | 0 | 64 | 0 |
N.S. |
1 | 0.99 | 1.48 | 0.18 | 0.00 | 0.99 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.239 | 0.405 | 4.960 | 0.000 | 0.345 | 0.000 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 0 | 78 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 9.250 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 133 | 136 | 131 | 0 | 0 | 0 | 207 | 0 |
N.S. |
1 | 1.39 | 1.42 | 1.36 | 0.00 | 0.00 | 0.00 | 2.16 | 0.00 |
time (sec) |
N/A | 0.411 | 0.418 | 2.276 | 0.000 | 0.000 | 0.000 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 0 | 92 | 89 | 0 | 0 | 0 | 0 | 184 |
N.S. |
1 | 0.00 | 0.96 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 1.92 |
time (sec) |
N/A | 0.000 | 6.888 | 3.250 | 0.000 | 0.000 | 0.000 | 0.000 | 15.118 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 81 | 119 | 17 | 0 | 92 | 0 | 55 | 31 |
N.S. |
1 | 0.84 | 1.24 | 0.18 | 0.00 | 0.96 | 0.00 | 0.57 | 0.32 |
time (sec) |
N/A | 0.225 | 5.579 | 7.244 | 0.000 | 0.451 | 0.000 | 0.265 | 6.401 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 260 | 103 | 124 | 0 | 305 | 0 | 0 | 0 |
N.S. |
1 | 2.71 | 1.07 | 1.29 | 0.00 | 3.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.869 | 1.983 | 9.791 | 0.000 | 35.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 260 | 103 | 124 | 0 | 305 | 0 | 0 | 0 |
N.S. |
1 | 2.71 | 1.07 | 1.29 | 0.00 | 3.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.839 | 0.001 | 0.000 | 0.000 | 34.641 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 0 | 67 | 84 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.70 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 8.201 | 3.431 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 429 | 97 | 66 | 27 | 0 | 26 | 27 | 31 |
N.S. |
1 | 4.47 | 1.01 | 0.69 | 0.28 | 0.00 | 0.27 | 0.28 | 0.32 |
time (sec) |
N/A | 0.766 | 0.503 | 1.125 | 0.229 | 0.000 | 6.297 | 0.948 | 6.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 429 | 97 | 66 | 27 | 0 | 26 | 27 | 31 |
N.S. |
1 | 4.47 | 1.01 | 0.69 | 0.28 | 0.00 | 0.27 | 0.28 | 0.32 |
time (sec) |
N/A | 0.562 | 0.001 | 0.002 | 0.227 | 0.000 | 6.241 | 0.918 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 499 | 97 | 61 | 38 | 0 | 31 | 38 | 36 |
N.S. |
1 | 5.20 | 1.01 | 0.64 | 0.40 | 0.00 | 0.32 | 0.40 | 0.38 |
time (sec) |
N/A | 1.322 | 0.773 | 1.123 | 0.231 | 0.000 | 62.123 | 1.709 | 6.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 431 | 75 | 81 | 0 | 197 | 0 | 0 | 0 |
N.S. |
1 | 4.44 | 0.77 | 0.84 | 0.00 | 2.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.644 | 10.969 | 1.750 | 0.000 | 0.334 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 97 | 94 | 90 | 81 | 91 | 86 | 34 | 79 | 107 |
N.S. |
1 | 0.97 | 0.93 | 0.84 | 0.94 | 0.89 | 0.35 | 0.81 | 1.10 |
time (sec) |
N/A | 0.208 | 0.108 | 3.427 | 0.270 | 0.292 | 1.184 | 0.265 | 6.406 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 98 | 86 | 60 | 91 | 83 | 32 | 77 | 108 |
N.S. |
1 | 1.01 | 0.89 | 0.62 | 0.94 | 0.86 | 0.33 | 0.79 | 1.11 |
time (sec) |
N/A | 0.215 | 0.104 | 2.707 | 0.284 | 0.295 | 1.173 | 0.268 | 6.441 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 87 | 90 | 71 | 73 | 85 | 65 | 74 | 152 |
N.S. |
1 | 0.90 | 0.93 | 0.73 | 0.75 | 0.88 | 0.67 | 0.76 | 1.57 |
time (sec) |
N/A | 0.214 | 0.076 | 2.374 | 0.269 | 0.259 | 51.158 | 0.267 | 6.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 0 | 118 | 56 | 27 | 3219 | 0 | 27 | 28 |
N.S. |
1 | 0.00 | 1.22 | 0.58 | 0.28 | 33.19 | 0.00 | 0.28 | 0.29 |
time (sec) |
N/A | 0.000 | 0.273 | 189.617 | 0.233 | 0.943 | 0.000 | 0.315 | 6.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 0 | 118 | 56 | 27 | 3219 | 0 | 27 | 28 |
N.S. |
1 | 0.00 | 1.22 | 0.58 | 0.28 | 33.19 | 0.00 | 0.28 | 0.29 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 0.225 | 0.893 | 0.000 | 0.325 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 110 | 107 | 192 | 0 | 293 | 0 | 0 | 210 |
N.S. |
1 | 1.13 | 1.10 | 1.98 | 0.00 | 3.02 | 0.00 | 0.00 | 2.16 |
time (sec) |
N/A | 0.845 | 0.389 | 18.803 | 0.000 | 0.305 | 0.000 | 0.000 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 101 | 123 | 15 | 0 | 93 | 0 | 64 | 0 |
N.S. |
1 | 1.04 | 1.27 | 0.15 | 0.00 | 0.96 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.209 | 0.174 | 2.867 | 0.000 | 0.245 | 0.000 | 0.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 101 | 97 | 100 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.00 | 1.03 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.249 | 0.219 | 6.419 | 0.000 | 0.505 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 96 | 88 | 69 | 103 | 84 | 68 | 76 | 121 |
N.S. |
1 | 0.99 | 0.91 | 0.71 | 1.06 | 0.87 | 0.70 | 0.78 | 1.25 |
time (sec) |
N/A | 0.211 | 0.096 | 4.467 | 0.278 | 0.256 | 164.079 | 0.254 | 6.496 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 116 | 122 | 98 | 0 | 0 | 0 | 185 | 58 |
N.S. |
1 | 1.20 | 1.26 | 1.01 | 0.00 | 0.00 | 0.00 | 1.91 | 0.60 |
time (sec) |
N/A | 0.275 | 9.727 | 1.272 | 0.000 | 0.000 | 0.000 | 0.304 | 6.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 143 | 115 | 98 | 0 | 0 | 0 | 185 | 58 |
N.S. |
1 | 1.47 | 1.19 | 1.01 | 0.00 | 0.00 | 0.00 | 1.91 | 0.60 |
time (sec) |
N/A | 0.368 | 4.440 | 0.984 | 0.000 | 0.000 | 0.000 | 0.288 | 6.285 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 98 | 90 | 86 | 93 | 86 | 31 | 78 | 118 |
N.S. |
1 | 1.01 | 0.93 | 0.89 | 0.96 | 0.89 | 0.32 | 0.80 | 1.22 |
time (sec) |
N/A | 0.209 | 0.116 | 6.299 | 0.279 | 0.268 | 1.766 | 0.266 | 6.370 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 0 | 94 | 91 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 0.94 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.502 | 4.349 | 0.000 | 1.208 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 96 | 87 | 125 | 0 | 82 | 0 | 65 | 0 |
N.S. |
1 | 0.99 | 0.90 | 1.29 | 0.00 | 0.85 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.367 | 0.134 | 0.166 | 0.000 | 1.358 | 0.000 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 91 | 91 | 0 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.94 | 0.00 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.958 | 0.108 | 0.000 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 96 | 83 | 0 | 0 | 198 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.85 | 0.00 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 1.736 | 0.000 | 0.000 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 0 | 95 | 77 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.97 | 0.79 | 0.00 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.855 | 6.479 | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 94 | 98 | 64 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.00 | 0.65 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.397 | 0.511 | 3.019 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 117 | 93 | 116 | 162 | 225 | 42 | 0 | 0 |
N.S. |
1 | 1.19 | 0.95 | 1.18 | 1.65 | 2.30 | 0.43 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 0.323 | 1.368 | 0.291 | 0.268 | 1.308 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 146 | 126 | 109 | 0 | 0 | 0 | 221 | 89 |
N.S. |
1 | 1.49 | 1.29 | 1.11 | 0.00 | 0.00 | 0.00 | 2.26 | 0.91 |
time (sec) |
N/A | 0.283 | 0.377 | 2.113 | 0.000 | 0.000 | 0.000 | 0.289 | 6.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 146 | 126 | 109 | 0 | 0 | 0 | 221 | 89 |
N.S. |
1 | 1.49 | 1.29 | 1.11 | 0.00 | 0.00 | 0.00 | 2.26 | 0.91 |
time (sec) |
N/A | 0.283 | 0.360 | 1.010 | 0.000 | 0.000 | 0.000 | 0.295 | 6.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 499 | 98 | 64 | 34 | 0 | 27 | 34 | 34 |
N.S. |
1 | 5.09 | 1.00 | 0.65 | 0.35 | 0.00 | 0.28 | 0.35 | 0.35 |
time (sec) |
N/A | 1.282 | 0.850 | 1.058 | 0.236 | 0.000 | 60.904 | 1.596 | 6.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 499 | 98 | 64 | 34 | 0 | 27 | 34 | 34 |
N.S. |
1 | 5.09 | 1.00 | 0.65 | 0.35 | 0.00 | 0.28 | 0.35 | 0.35 |
time (sec) |
N/A | 0.948 | 0.001 | 0.001 | 0.228 | 0.000 | 62.035 | 1.490 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 0 | 98 | 0 | 64 | 2275 | 70 | 64 | 64 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.65 | 23.21 | 0.71 | 0.65 | 0.65 |
time (sec) |
N/A | 0.000 | 6.769 | 0.000 | 0.322 | 285.923 | 29.450 | 0.320 | 8.459 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 0 | 98 | 0 | 64 | 2275 | 70 | 64 | 64 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.65 | 23.21 | 0.71 | 0.65 | 0.65 |
time (sec) |
N/A | 0.000 | 0.002 | 0.000 | 0.343 | 285.641 | 29.565 | 0.323 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 0 | 98 | 0 | 0 | 229 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.00 | 2.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.461 | 0.000 | 0.000 | 1.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 118 | 99 | 85 | 107 | 299 | 138 | 97 | 81 |
N.S. |
1 | 1.19 | 1.00 | 0.86 | 1.08 | 3.02 | 1.39 | 0.98 | 0.82 |
time (sec) |
N/A | 0.240 | 0.092 | 2.392 | 0.269 | 0.267 | 8.419 | 0.286 | 6.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 97 | 99 | 702 | 0 | 383 | 0 | 0 | 221 |
N.S. |
1 | 0.98 | 1.00 | 7.09 | 0.00 | 3.87 | 0.00 | 0.00 | 2.23 |
time (sec) |
N/A | 0.740 | 1.284 | 6.237 | 0.000 | 0.280 | 0.000 | 0.000 | 0.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 99 | 457 | 99 | 591 | 0 | 403 | 0 | 0 | 505 |
N.S. |
1 | 4.62 | 1.00 | 5.97 | 0.00 | 4.07 | 0.00 | 0.00 | 5.10 |
time (sec) |
N/A | 0.988 | 1.592 | 10.030 | 0.000 | 0.304 | 0.000 | 0.000 | 6.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 99 | 450 | 99 | 584 | 0 | 360 | 0 | 0 | 509 |
N.S. |
1 | 4.55 | 1.00 | 5.90 | 0.00 | 3.64 | 0.00 | 0.00 | 5.14 |
time (sec) |
N/A | 1.091 | 1.380 | 8.796 | 0.000 | 0.286 | 0.000 | 0.000 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 99 | 95 | 92 | 91 | 103 | 88 | 68 | 81 | 186 |
N.S. |
1 | 0.96 | 0.93 | 0.92 | 1.04 | 0.89 | 0.69 | 0.82 | 1.88 |
time (sec) |
N/A | 0.222 | 0.115 | 3.431 | 0.282 | 0.252 | 87.353 | 0.276 | 6.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 99 | 95 | 92 | 91 | 103 | 88 | 68 | 81 | 187 |
N.S. |
1 | 0.96 | 0.93 | 0.92 | 1.04 | 0.89 | 0.69 | 0.82 | 1.89 |
time (sec) |
N/A | 0.217 | 0.105 | 3.033 | 0.273 | 0.263 | 126.842 | 0.278 | 6.486 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 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 | F | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 0 | 137 | 676 | 0 | 373 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.38 | 6.83 | 0.00 | 3.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.080 | 30.751 | 0.000 | 0.375 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 356 | 130 | 105 | 38 | 0 | 32 | 38 | 40 |
N.S. |
1 | 3.60 | 1.31 | 1.06 | 0.38 | 0.00 | 0.32 | 0.38 | 0.40 |
time (sec) |
N/A | 1.583 | 1.104 | 2.376 | 0.248 | 0.000 | 20.471 | 0.934 | 7.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 356 | 130 | 105 | 38 | 0 | 32 | 38 | 40 |
N.S. |
1 | 3.60 | 1.31 | 1.06 | 0.38 | 0.00 | 0.32 | 0.38 | 0.40 |
time (sec) |
N/A | 1.354 | 0.004 | 0.000 | 0.242 | 0.000 | 19.810 | 0.959 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 142 | 116 | 113 | 0 | 232 | 0 | 243 | 38 |
N.S. |
1 | 1.43 | 1.17 | 1.14 | 0.00 | 2.34 | 0.00 | 2.45 | 0.38 |
time (sec) |
N/A | 0.311 | 0.380 | 2.387 | 0.000 | 0.269 | 0.000 | 0.277 | 6.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 99 | 94 | 92 | 108 | 93 | 88 | 32 | 81 | 116 |
N.S. |
1 | 0.95 | 0.93 | 1.09 | 0.94 | 0.89 | 0.32 | 0.82 | 1.17 |
time (sec) |
N/A | 0.209 | 0.129 | 7.931 | 0.274 | 0.260 | 1.842 | 0.268 | 6.385 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 483 | 99 | 64 | 35 | 0 | 31 | 35 | 37 |
N.S. |
1 | 4.88 | 1.00 | 0.65 | 0.35 | 0.00 | 0.31 | 0.35 | 0.37 |
time (sec) |
N/A | 1.324 | 0.902 | 1.235 | 0.243 | 0.000 | 64.170 | 0.905 | 6.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 946 | 116 | 86 | 42 | 0 | 34 | 3 | 40 |
N.S. |
1 | 9.56 | 1.17 | 0.87 | 0.42 | 0.00 | 0.34 | 0.03 | 0.40 |
time (sec) |
N/A | 2.656 | 16.300 | 1.725 | 0.252 | 0.000 | 71.513 | 19.027 | 6.707 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 946 | 116 | 86 | 42 | 0 | 34 | 3 | 40 |
N.S. |
1 | 9.56 | 1.17 | 0.87 | 0.42 | 0.00 | 0.34 | 0.03 | 0.40 |
time (sec) |
N/A | 1.952 | 0.048 | 0.000 | 0.260 | 0.000 | 68.413 | 18.697 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 0 | 64371 | 867 | 0 | 944 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 650.21 | 8.76 | 0.00 | 9.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 74.453 | 1.684 | 0.000 | 0.533 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 0 | 99 | 25 | 27 | 0 | 26 | 27 | 27 |
N.S. |
1 | 0.00 | 1.00 | 0.25 | 0.27 | 0.00 | 0.26 | 0.27 | 0.27 |
time (sec) |
N/A | 0.000 | 0.616 | 0.062 | 0.334 | 0.000 | 1.042 | 0.348 | 6.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 0 | 99 | 25 | 27 | 0 | 26 | 27 | 27 |
N.S. |
1 | 0.00 | 1.00 | 0.25 | 0.27 | 0.00 | 0.26 | 0.27 | 0.27 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.310 | 0.000 | 1.037 | 0.370 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | A | F | F | F(-1) |
verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 1288 | 1373 | 92 | 0 | 344 | 0 | 0 | 0 |
N.S. |
1 | 12.88 | 13.73 | 0.92 | 0.00 | 3.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.372 | 16.375 | 3.263 | 0.000 | 0.543 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F(-2) | A | F | F | F(-1) |
verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 1193 | 1374 | 96 | 0 | 342 | 0 | 0 | 0 |
N.S. |
1 | 11.93 | 13.74 | 0.96 | 0.00 | 3.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.899 | 16.242 | 2.617 | 0.000 | 0.532 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 112 | 151 | 17 | 0 | 96 | 0 | 77 | 0 |
N.S. |
1 | 1.12 | 1.51 | 0.17 | 0.00 | 0.96 | 0.00 | 0.77 | 0.00 |
time (sec) |
N/A | 0.272 | 0.716 | 2.382 | 0.000 | 0.358 | 0.000 | 0.277 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 0 | 87 | 511 | 0 | 138 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.87 | 5.11 | 0.00 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.129 | 1.923 | 0.000 | 0.708 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 103 | 131 | 15 | 0 | 102 | 0 | 63 | 27 |
N.S. |
1 | 1.03 | 1.31 | 0.15 | 0.00 | 1.02 | 0.00 | 0.63 | 0.27 |
time (sec) |
N/A | 0.212 | 0.177 | 0.697 | 0.000 | 0.239 | 0.000 | 0.280 | 6.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 117 | 93 | 74 | 146 | 88 | 0 | 85 | 232 |
N.S. |
1 | 1.17 | 0.93 | 0.74 | 1.46 | 0.88 | 0.00 | 0.85 | 2.32 |
time (sec) |
N/A | 0.219 | 0.167 | 2.453 | 0.273 | 0.263 | 0.000 | 0.268 | 7.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 0 | 100 | 105 | 0 | 147 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.05 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.475 | 5.352 | 0.000 | 3.125 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 0 | 100 | 105 | 0 | 144 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.05 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.497 | 4.265 | 0.000 | 1.845 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 548 | 132 | 63 | 37 | 0 | 31 | 37 | 37 |
N.S. |
1 | 5.48 | 1.32 | 0.63 | 0.37 | 0.00 | 0.31 | 0.37 | 0.37 |
time (sec) |
N/A | 1.512 | 0.853 | 0.379 | 0.231 | 0.000 | 7.241 | 3.661 | 6.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 548 | 132 | 63 | 37 | 0 | 31 | 37 | 37 |
N.S. |
1 | 5.48 | 1.32 | 0.63 | 0.37 | 0.00 | 0.31 | 0.37 | 0.37 |
time (sec) |
N/A | 1.185 | 0.002 | 0.000 | 0.240 | 0.000 | 7.099 | 3.518 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 505 | 100 | 69 | 30 | 0 | 0 | 30 | 32 |
N.S. |
1 | 5.05 | 1.00 | 0.69 | 0.30 | 0.00 | 0.00 | 0.30 | 0.32 |
time (sec) |
N/A | 1.022 | 0.200 | 83.211 | 0.336 | 0.000 | 0.000 | 0.289 | 6.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-2) | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 505 | 100 | 69 | 30 | 0 | 0 | 30 | 32 |
N.S. |
1 | 5.05 | 1.00 | 0.69 | 0.30 | 0.00 | 0.00 | 0.30 | 0.32 |
time (sec) |
N/A | 0.870 | 0.002 | 0.000 | 0.306 | 0.000 | 0.000 | 0.288 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 0 | 100 | 115 | 0 | 141 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.15 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 9.233 | 20.929 | 0.000 | 8.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 479 | 100 | 66 | 36 | 0 | 29 | 36 | 35 |
N.S. |
1 | 4.79 | 1.00 | 0.66 | 0.36 | 0.00 | 0.29 | 0.36 | 0.35 |
time (sec) |
N/A | 1.302 | 0.845 | 0.289 | 0.236 | 0.000 | 66.543 | 1.624 | 6.310 |