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 | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 69 | 163 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.69 | 1.63 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 0.290 | 0.739 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 104 | 61 | 417 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.63 | 4.30 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.468 | 0.346 | 0.781 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 74 | 51 | 147 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.71 | 2.04 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 0.189 | 0.503 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 70 | 48 | 389 | 0 | 86 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.74 | 5.98 | 0.00 | 1.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.344 | 0.198 | 0.621 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 69 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.68 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 0.018 | 0.538 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 299 | 0 | 66 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 7.87 | 0.00 | 1.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 0.020 | 0.597 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 74 | 60 | 141 | 0 | 87 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.87 | 2.04 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.354 | 0.086 | 0.606 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 76 | 60 | 417 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.90 | 6.22 | 0.00 | 1.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.369 | 0.122 | 0.620 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 112 | 66 | 157 | 0 | 100 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.68 | 1.62 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.472 | 0.247 | 0.652 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 112 | 70 | 451 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.74 | 4.75 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 0.345 | 0.582 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 69 | 166 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.69 | 1.66 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.454 | 0.402 | 0.677 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 104 | 64 | 420 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.64 | 4.20 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.451 | 0.226 | 0.564 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 74 | 56 | 150 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.78 | 2.08 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.344 | 0.227 | 0.512 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 70 | 51 | 392 | 0 | 86 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.75 | 5.76 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.217 | 0.608 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 72 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.76 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 0.011 | 0.592 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 305 | 0 | 66 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 7.44 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 0.022 | 0.309 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 59 | 144 | 0 | 87 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 2.00 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.323 | 0.044 | 0.524 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 74 | 60 | 420 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.87 | 6.09 | 0.00 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.356 | 0.067 | 0.550 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 112 | 66 | 160 | 0 | 100 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.67 | 1.63 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.481 | 0.140 | 0.600 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 112 | 73 | 454 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.75 | 4.68 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.482 | 0.324 | 0.598 | 0.000 | 0.124 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 64 | 166 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.64 | 1.66 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.452 | 0.473 | 0.627 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 104 | 64 | 420 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.64 | 4.20 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.452 | 0.354 | 0.623 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 74 | 51 | 149 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.71 | 2.07 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.347 | 0.214 | 0.566 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 70 | 51 | 392 | 0 | 86 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.75 | 5.76 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.350 | 0.245 | 0.575 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 72 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.76 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.015 | 0.626 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 38 | 305 | 0 | 66 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 7.44 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 0.213 | 0.291 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 76 | 62 | 144 | 0 | 87 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.86 | 2.00 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.353 | 0.033 | 0.523 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 60 | 420 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 5.83 | 0.00 | 1.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.322 | 0.040 | 0.537 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 110 | 66 | 160 | 0 | 100 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.68 | 1.65 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.474 | 0.037 | 0.573 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 112 | 73 | 454 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.74 | 4.63 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 0.172 | 0.564 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 66 | 160 | 0 | 100 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.66 | 1.60 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 0.016 | 0.500 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 83 | 64 | 104 | 1656 | 229 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 0.60 | 0.97 | 15.48 | 2.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 0.172 | 1.022 | 0.483 | 0.320 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 48 | 45 | 48 | 294 | 43 | 0 | 0 | 126 |
N.S. |
1 | 0.69 | 0.64 | 0.69 | 4.20 | 0.61 | 0.00 | 0.00 | 1.80 |
time (sec) |
N/A | 0.231 | 0.101 | 0.662 | 0.398 | 0.269 | 0.000 | 0.000 | 15.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 57 | 50 | 92 | 661 | 199 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.69 | 1.28 | 9.18 | 2.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.061 | 0.574 | 0.461 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 35 | 54 | 30 | 0 | 0 | 46 |
N.S. |
1 | 1.00 | 1.00 | 1.09 | 1.69 | 0.94 | 0.00 | 0.00 | 1.44 |
time (sec) |
N/A | 0.215 | 0.022 | 0.661 | 0.439 | 0.272 | 0.000 | 0.000 | 0.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 46 | 65 | 111 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.39 | 1.97 | 3.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.016 | 0.579 | 0.378 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 28 | 26 | 98 | 22 | 0 | 24 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 1.08 | 4.08 | 0.92 | 0.00 | 1.00 |
time (sec) |
N/A | 0.149 | 0.038 | 0.537 | 0.319 | 0.295 | 1.805 | 0.000 | 12.522 |
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 | 32 | 32 | 32 | 29 | 13 | 30 | 46 | 38 | 32 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.41 | 0.94 | 1.44 | 1.19 | 1.00 |
time (sec) |
N/A | 0.215 | 0.212 | 0.625 | 0.387 | 0.268 | 3.653 | 0.857 | 0.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 48 | 45 | 45 | 25 | 158 | 107 | 140 | 41 |
N.S. |
1 | 0.76 | 0.71 | 0.71 | 0.40 | 2.51 | 1.70 | 2.22 | 0.65 |
time (sec) |
N/A | 0.207 | 0.195 | 0.657 | 0.445 | 0.315 | 9.813 | 1.323 | 12.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 48 | 45 | 47 | 42 | 48 | 0 | 0 | 45 |
N.S. |
1 | 0.69 | 0.64 | 0.67 | 0.60 | 0.69 | 0.00 | 0.00 | 0.64 |
time (sec) |
N/A | 0.223 | 0.132 | 0.731 | 0.406 | 0.266 | 0.000 | 0.000 | 12.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 74 | 55 | 64 | 49 | 202 | 0 | 0 | 52 |
N.S. |
1 | 0.76 | 0.56 | 0.65 | 0.50 | 2.06 | 0.00 | 0.00 | 0.53 |
time (sec) |
N/A | 0.275 | 0.313 | 0.716 | 0.429 | 0.314 | 0.000 | 0.000 | 12.775 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 84 | 64 | 105 | 1742 | 236 | 0 | 0 | 0 |
N.S. |
1 | 0.76 | 0.58 | 0.95 | 15.84 | 2.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 0.153 | 0.639 | 0.487 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 49 | 45 | 49 | 299 | 44 | 0 | 0 | 127 |
N.S. |
1 | 0.68 | 0.62 | 0.68 | 4.15 | 0.61 | 0.00 | 0.00 | 1.76 |
time (sec) |
N/A | 0.229 | 0.104 | 0.533 | 0.398 | 0.282 | 0.000 | 0.000 | 13.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 58 | 50 | 93 | 691 | 202 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 0.68 | 1.26 | 9.34 | 2.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 0.077 | 0.541 | 0.435 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 32 | 36 | 54 | 31 | 0 | 0 | 47 |
N.S. |
1 | 1.00 | 0.97 | 1.09 | 1.64 | 0.94 | 0.00 | 0.00 | 1.42 |
time (sec) |
N/A | 0.220 | 0.025 | 0.588 | 0.393 | 0.267 | 0.000 | 0.000 | 0.216 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 33 | 47 | 68 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.38 | 2.00 | 3.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 0.024 | 0.547 | 0.462 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 29 | 26 | 99 | 22 | 0 | 25 |
N.S. |
1 | 1.00 | 1.00 | 1.16 | 1.04 | 3.96 | 0.88 | 0.00 | 1.00 |
time (sec) |
N/A | 0.152 | 0.051 | 0.539 | 0.367 | 0.304 | 3.464 | 0.000 | 0.097 |
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 | 33 | 33 | 32 | 30 | 13 | 31 | 46 | 38 | 33 |
N.S. |
1 | 1.00 | 0.97 | 0.91 | 0.39 | 0.94 | 1.39 | 1.15 | 1.00 |
time (sec) |
N/A | 0.193 | 0.201 | 0.561 | 0.406 | 0.275 | 18.084 | 0.868 | 0.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 49 | 45 | 46 | 28 | 161 | 0 | 0 | 42 |
N.S. |
1 | 0.75 | 0.69 | 0.71 | 0.43 | 2.48 | 0.00 | 0.00 | 0.65 |
time (sec) |
N/A | 0.208 | 0.238 | 0.535 | 0.410 | 0.311 | 0.000 | 0.000 | 0.370 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 49 | 45 | 48 | 45 | 51 | 0 | 0 | 46 |
N.S. |
1 | 0.68 | 0.62 | 0.67 | 0.62 | 0.71 | 0.00 | 0.00 | 0.64 |
time (sec) |
N/A | 0.226 | 0.151 | 0.607 | 0.412 | 0.269 | 0.000 | 0.000 | 13.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 75 | 55 | 65 | 53 | 207 | 0 | 0 | 53 |
N.S. |
1 | 0.74 | 0.54 | 0.64 | 0.52 | 2.05 | 0.00 | 0.00 | 0.52 |
time (sec) |
N/A | 0.283 | 0.480 | 0.444 | 0.401 | 0.327 | 0.000 | 0.000 | 0.521 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 63 | 57 | 61 | 705 | 63 | 0 | 0 | 205 |
N.S. |
1 | 0.54 | 0.49 | 0.53 | 6.08 | 0.54 | 0.00 | 0.00 | 1.77 |
time (sec) |
N/A | 0.233 | 0.238 | 24.605 | 0.474 | 0.279 | 0.000 | 0.000 | 18.012 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 45 | 51 | 311 | 48 | 0 | 0 | 129 |
N.S. |
1 | 0.67 | 0.59 | 0.67 | 4.09 | 0.63 | 0.00 | 0.00 | 1.70 |
time (sec) |
N/A | 0.235 | 0.120 | 0.570 | 0.440 | 0.276 | 0.000 | 0.000 | 1.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 60 | 50 | 95 | 747 | 208 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 0.64 | 1.22 | 9.58 | 2.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 0.094 | 0.616 | 0.419 | 0.316 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 38 | 54 | 33 | 0 | 0 | 66 |
N.S. |
1 | 1.00 | 0.91 | 1.09 | 1.54 | 0.94 | 0.00 | 0.00 | 1.89 |
time (sec) |
N/A | 0.220 | 0.037 | 0.539 | 0.416 | 0.273 | 0.000 | 0.000 | 13.538 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 49 | 72 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.36 | 2.00 | 3.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.041 | 0.520 | 0.418 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 24 | 31 | 26 | 101 | 22 | 0 | 27 |
N.S. |
1 | 1.00 | 0.89 | 1.15 | 0.96 | 3.74 | 0.81 | 0.00 | 1.00 |
time (sec) |
N/A | 0.152 | 0.060 | 0.553 | 0.390 | 0.296 | 47.272 | 0.000 | 0.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 32 | 13 | 33 | 0 | 0 | 35 |
N.S. |
1 | 1.00 | 0.91 | 0.91 | 0.37 | 0.94 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.198 | 0.291 | 0.540 | 0.411 | 0.272 | 0.000 | 0.000 | 13.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 51 | 45 | 48 | 32 | 167 | 0 | 0 | 44 |
N.S. |
1 | 0.74 | 0.65 | 0.70 | 0.46 | 2.42 | 0.00 | 0.00 | 0.64 |
time (sec) |
N/A | 0.215 | 0.334 | 0.539 | 0.437 | 0.307 | 0.000 | 0.000 | 0.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 45 | 50 | 49 | 55 | 0 | 0 | 48 |
N.S. |
1 | 0.67 | 0.59 | 0.66 | 0.64 | 0.72 | 0.00 | 0.00 | 0.63 |
time (sec) |
N/A | 0.232 | 0.209 | 0.385 | 0.438 | 0.273 | 0.000 | 0.000 | 13.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 57 | 50 | 92 | 661 | 205 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.69 | 1.28 | 9.18 | 2.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.065 | 0.619 | 0.410 | 0.312 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 35 | 59 | 33 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 1.00 | 1.09 | 1.84 | 1.03 | 0.00 | 0.00 | 1.59 |
time (sec) |
N/A | 0.216 | 0.027 | 0.587 | 0.416 | 0.262 | 0.000 | 0.000 | 0.270 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 46 | 65 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.39 | 1.97 | 3.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 0.017 | 0.555 | 0.403 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 28 | 26 | 101 | 22 | 0 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 1.08 | 4.21 | 0.92 | 0.00 | 1.12 |
time (sec) |
N/A | 0.145 | 0.037 | 0.523 | 0.332 | 0.295 | 3.446 | 0.000 | 0.250 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 29 | 13 | 33 | 46 | 0 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.41 | 1.03 | 1.44 | 0.00 | 1.09 |
time (sec) |
N/A | 0.202 | 0.150 | 0.521 | 0.383 | 0.261 | 6.527 | 0.000 | 13.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 48 | 45 | 45 | 25 | 165 | 107 | 0 | 44 |
N.S. |
1 | 0.76 | 0.71 | 0.71 | 0.40 | 2.62 | 1.70 | 0.00 | 0.70 |
time (sec) |
N/A | 0.209 | 0.158 | 0.515 | 0.420 | 0.297 | 7.532 | 0.000 | 13.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 48 | 45 | 47 | 42 | 51 | 82 | 0 | 48 |
N.S. |
1 | 0.69 | 0.64 | 0.67 | 0.60 | 0.73 | 1.17 | 0.00 | 0.69 |
time (sec) |
N/A | 0.220 | 0.094 | 0.522 | 0.405 | 0.281 | 23.975 | 0.000 | 13.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 60 | 50 | 95 | 670 | 205 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 0.64 | 1.22 | 8.59 | 2.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 0.079 | 0.584 | 0.418 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 38 | 67 | 33 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.91 | 1.09 | 1.91 | 0.94 | 0.00 | 0.00 | 1.46 |
time (sec) |
N/A | 0.213 | 0.042 | 0.522 | 0.404 | 0.292 | 0.000 | 0.000 | 0.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 49 | 65 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.36 | 1.81 | 3.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 0.030 | 0.574 | 0.397 | 0.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 31 | 26 | 101 | 22 | 0 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.15 | 0.96 | 3.74 | 0.81 | 0.00 | 1.00 |
time (sec) |
N/A | 0.148 | 0.045 | 0.592 | 0.336 | 0.300 | 5.178 | 0.000 | 0.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 32 | 13 | 33 | 46 | 0 | 39 |
N.S. |
1 | 1.00 | 0.91 | 0.91 | 0.37 | 0.94 | 1.31 | 0.00 | 1.11 |
time (sec) |
N/A | 0.194 | 0.219 | 0.603 | 0.403 | 0.266 | 3.928 | 0.000 | 13.283 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 51 | 45 | 48 | 25 | 165 | 107 | 0 | 44 |
N.S. |
1 | 0.74 | 0.65 | 0.70 | 0.36 | 2.39 | 1.55 | 0.00 | 0.64 |
time (sec) |
N/A | 0.206 | 0.185 | 0.566 | 0.422 | 0.298 | 8.198 | 0.000 | 13.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 45 | 50 | 42 | 51 | 82 | 0 | 48 |
N.S. |
1 | 0.67 | 0.59 | 0.66 | 0.55 | 0.67 | 1.08 | 0.00 | 0.63 |
time (sec) |
N/A | 0.223 | 0.106 | 0.659 | 0.411 | 0.272 | 14.022 | 0.000 | 13.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 77 | 55 | 67 | 49 | 208 | 184 | 0 | 55 |
N.S. |
1 | 0.72 | 0.51 | 0.63 | 0.46 | 1.94 | 1.72 | 0.00 | 0.51 |
time (sec) |
N/A | 0.285 | 0.267 | 0.543 | 0.427 | 0.316 | 105.669 | 0.000 | 13.575 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 60 | 53 | 95 | 688 | 205 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 0.68 | 1.22 | 8.82 | 2.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 0.053 | 0.336 | 0.429 | 0.305 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 38 | 67 | 33 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.91 | 1.09 | 1.91 | 0.94 | 0.00 | 0.00 | 1.46 |
time (sec) |
N/A | 0.219 | 0.038 | 0.526 | 0.403 | 0.273 | 0.000 | 0.000 | 0.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 49 | 65 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.36 | 1.81 | 3.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 0.028 | 0.546 | 0.404 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 31 | 26 | 101 | 22 | 0 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.15 | 0.96 | 3.74 | 0.81 | 0.00 | 1.00 |
time (sec) |
N/A | 0.151 | 0.040 | 0.535 | 0.377 | 0.294 | 49.360 | 0.000 | 13.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 32 | 13 | 33 | 46 | 0 | 39 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.37 | 0.94 | 1.31 | 0.00 | 1.11 |
time (sec) |
N/A | 0.197 | 0.257 | 0.530 | 0.412 | 0.282 | 18.693 | 0.000 | 13.237 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 51 | 48 | 48 | 25 | 165 | 107 | 0 | 64 |
N.S. |
1 | 0.74 | 0.70 | 0.70 | 0.36 | 2.39 | 1.55 | 0.00 | 0.93 |
time (sec) |
N/A | 0.207 | 0.165 | 0.593 | 0.556 | 0.301 | 10.097 | 0.000 | 12.993 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 48 | 50 | 42 | 51 | 82 | 0 | 48 |
N.S. |
1 | 0.67 | 0.63 | 0.66 | 0.55 | 0.67 | 1.08 | 0.00 | 0.63 |
time (sec) |
N/A | 0.225 | 0.065 | 0.638 | 0.536 | 0.274 | 24.402 | 0.000 | 13.784 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 77 | 58 | 67 | 49 | 208 | 184 | 0 | 55 |
N.S. |
1 | 0.72 | 0.54 | 0.63 | 0.46 | 1.94 | 1.72 | 0.00 | 0.51 |
time (sec) |
N/A | 0.289 | 0.216 | 0.624 | 0.541 | 0.337 | 112.023 | 0.000 | 13.358 |
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 | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 0.078 | 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 | 53 | 53 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.279 | 0.054 | 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 | 56 | 56 | 55 | 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 | 0.263 | 0.044 | 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 | 58 | 58 | 58 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 0.069 | 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 | 58 | 58 | 59 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.165 | 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 | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.300 | 0.084 | 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 | 55 | 55 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 0.052 | 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 | 54 | 54 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.257 | 0.001 | 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 | 58 | 58 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.299 | 0.003 | 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 | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 0.008 | 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 | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 0.062 | 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 | 53 | 53 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.275 | 0.049 | 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 | 56 | 56 | 55 | 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 | 0.260 | 0.057 | 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 | 58 | 58 | 58 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.089 | 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 | 58 | 58 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.364 | 0.076 | 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 | 56 | 56 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 0.003 | 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 | 55 | 55 | 58 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.274 | 0.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |