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 | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 104 | 53 | 50 | 69 | 49 | 692 | 0 | 76 |
N.S. |
1 | 1.13 | 0.58 | 0.54 | 0.75 | 0.53 | 7.52 | 0.00 | 0.83 |
time (sec) |
N/A | 0.218 | 0.294 | 4.380 | 0.206 | 0.253 | 1.380 | 0.000 | 5.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 134 | 64 | 61 | 86 | 60 | 1046 | 0 | 96 |
N.S. |
1 | 1.16 | 0.55 | 0.53 | 0.74 | 0.52 | 9.02 | 0.00 | 0.83 |
time (sec) |
N/A | 0.251 | 0.345 | 4.478 | 0.247 | 0.252 | 1.925 | 0.000 | 5.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 140 | 80 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.09 | 0.62 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.274 | 7.479 | 0.000 | 0.000 | 0.000 | 0.602 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 110 | 64 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.05 | 0.61 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 7.354 | 0.000 | 0.000 | 0.000 | 0.500 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 51 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 0.00 | 0.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 7.116 | 0.000 | 0.000 | 0.000 | 0.440 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 49 | 0 | 0 | 0 | 39 | 0 | 40 |
N.S. |
1 | 1.00 | 0.65 | 0.00 | 0.00 | 0.00 | 0.52 | 0.00 | 0.53 |
time (sec) |
N/A | 0.231 | 10.016 | 0.000 | 0.000 | 0.000 | 0.478 | 0.000 | 5.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 51 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 10.016 | 0.000 | 0.000 | 0.000 | 0.583 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 135 | 51 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.05 | 0.40 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 10.014 | 0.000 | 0.000 | 0.000 | 0.690 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 153 | 165 | 51 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.08 | 0.33 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.326 | 10.014 | 0.000 | 0.000 | 0.000 | 0.899 | 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 | 98 | 103 | 61 | 58 | 80 | 57 | 116 | 74 | 58 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.82 | 0.58 | 1.18 | 0.76 | 0.59 |
time (sec) |
N/A | 0.235 | 0.054 | 4.399 | 0.191 | 0.269 | 0.983 | 0.277 | 5.663 |
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 | 78 | 82 | 50 | 47 | 64 | 46 | 92 | 61 | 48 |
N.S. |
1 | 1.05 | 0.64 | 0.60 | 0.82 | 0.59 | 1.18 | 0.78 | 0.62 |
time (sec) |
N/A | 0.211 | 0.050 | 4.503 | 0.191 | 0.248 | 0.694 | 0.280 | 5.684 |
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 | 56 | 61 | 39 | 36 | 46 | 35 | 68 | 46 | 36 |
N.S. |
1 | 1.09 | 0.70 | 0.64 | 0.82 | 0.62 | 1.21 | 0.82 | 0.64 |
time (sec) |
N/A | 0.200 | 0.046 | 4.332 | 0.189 | 0.281 | 0.407 | 0.290 | 5.694 |
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 | 36 | 40 | 27 | 24 | 30 | 23 | 44 | 30 | 24 |
N.S. |
1 | 1.11 | 0.75 | 0.67 | 0.83 | 0.64 | 1.22 | 0.83 | 0.67 |
time (sec) |
N/A | 0.184 | 0.038 | 4.230 | 0.189 | 0.275 | 0.265 | 0.276 | 5.660 |
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 | 15 | 15 | 15 | 14 | 13 | 13 | 20 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 1.33 | 0.87 | 0.87 |
time (sec) |
N/A | 0.143 | 0.023 | 4.309 | 0.199 | 0.263 | 0.091 | 0.278 | 6.021 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 61 | 46 | 59 | 57 | 104 | 39 | 186 | 34 |
N.S. |
1 | 1.11 | 0.84 | 1.07 | 1.04 | 1.89 | 0.71 | 3.38 | 0.62 |
time (sec) |
N/A | 0.190 | 0.077 | 4.396 | 0.272 | 0.256 | 0.540 | 0.273 | 5.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 86 | 78 | 86 | 94 | 192 | 39 | 221 | 58 |
N.S. |
1 | 1.10 | 1.00 | 1.10 | 1.21 | 2.46 | 0.50 | 2.83 | 0.74 |
time (sec) |
N/A | 0.199 | 0.155 | 4.411 | 0.300 | 0.270 | 0.819 | 0.301 | 5.943 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 116 | 92 | 108 | 132 | 218 | 39 | 244 | 82 |
N.S. |
1 | 1.12 | 0.88 | 1.04 | 1.27 | 2.10 | 0.38 | 2.35 | 0.79 |
time (sec) |
N/A | 0.213 | 0.195 | 4.396 | 0.273 | 0.265 | 1.714 | 0.302 | 6.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 146 | 91 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.14 | 0.71 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.00 |
time (sec) |
N/A | 0.234 | 8.864 | 0.000 | 0.000 | 0.000 | 0.751 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 116 | 79 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.12 | 0.76 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 8.232 | 0.000 | 0.000 | 0.000 | 0.584 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 86 | 64 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.05 | 0.78 | 0.00 | 0.00 | 0.00 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 7.941 | 0.000 | 0.000 | 0.000 | 0.483 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 51 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 7.303 | 0.000 | 0.000 | 0.000 | 0.442 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 51 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 10.016 | 0.000 | 0.000 | 0.000 | 0.548 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 112 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.08 | 0.49 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 10.018 | 0.000 | 0.000 | 0.000 | 0.686 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 142 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.11 | 0.40 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.234 | 10.021 | 0.000 | 0.000 | 0.000 | 0.833 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 117 | 89 | 108 | 155 | 227 | 37 | 0 | 0 |
N.S. |
1 | 1.10 | 0.84 | 1.02 | 1.46 | 2.14 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.604 | 4.608 | 0.396 | 0.264 | 1.591 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 87 | 75 | 85 | 110 | 201 | 37 | 0 | 0 |
N.S. |
1 | 1.09 | 0.94 | 1.06 | 1.38 | 2.51 | 0.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 0.449 | 4.496 | 0.377 | 0.285 | 0.734 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 50 | 65 | 68 | 126 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.14 | 1.19 | 2.21 | 0.65 | 0.00 | 0.00 |
time (sec) |
N/A | 0.179 | 0.333 | 4.348 | 0.410 | 0.257 | 0.524 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 18 | 17 | 17 | 31 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.89 | 0.89 | 1.63 | 0.00 | 0.89 |
time (sec) |
N/A | 0.144 | 0.268 | 4.317 | 0.214 | 0.258 | 0.389 | 0.000 | 5.928 |
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 | 44 | 44 | 31 | 26 | 35 | 27 | 68 | 0 | 25 |
N.S. |
1 | 1.00 | 0.70 | 0.59 | 0.80 | 0.61 | 1.55 | 0.00 | 0.57 |
time (sec) |
N/A | 0.166 | 0.351 | 4.557 | 0.200 | 0.250 | 0.566 | 0.000 | 5.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 74 | 42 | 39 | 52 | 38 | 406 | 0 | 38 |
N.S. |
1 | 1.09 | 0.62 | 0.57 | 0.76 | 0.56 | 5.97 | 0.00 | 0.56 |
time (sec) |
N/A | 0.192 | 0.425 | 4.385 | 0.199 | 0.266 | 0.875 | 0.000 | 5.999 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 104 | 53 | 50 | 69 | 49 | 692 | 0 | 76 |
N.S. |
1 | 1.13 | 0.58 | 0.54 | 0.75 | 0.53 | 7.52 | 0.00 | 0.83 |
time (sec) |
N/A | 0.218 | 0.495 | 4.441 | 0.195 | 0.280 | 1.302 | 0.000 | 6.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 143 | 90 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.11 | 0.70 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 8.592 | 0.000 | 0.000 | 0.000 | 0.691 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 113 | 79 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.08 | 0.75 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 8.148 | 0.000 | 0.000 | 0.000 | 0.543 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 62 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 7.517 | 0.000 | 0.000 | 0.000 | 0.460 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 46 | 0 | 0 | 0 | 36 | 0 | 37 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.59 | 0.00 | 0.61 |
time (sec) |
N/A | 0.202 | 7.011 | 0.000 | 0.000 | 0.000 | 0.433 | 0.000 | 5.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 51 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 0.00 | 0.00 | 0.00 | 0.48 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 10.014 | 0.000 | 0.000 | 0.000 | 0.539 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 107 | 115 | 51 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.07 | 0.48 | 0.00 | 0.00 | 0.00 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.269 | 10.018 | 0.000 | 0.000 | 0.000 | 0.680 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 145 | 51 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.11 | 0.39 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.299 | 10.015 | 0.000 | 0.000 | 0.000 | 0.878 | 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 | 103 | 61 | 58 | 81 | 69 | 116 | 87 | 69 |
N.S. |
1 | 1.04 | 0.62 | 0.59 | 0.82 | 0.70 | 1.17 | 0.88 | 0.70 |
time (sec) |
N/A | 0.222 | 0.059 | 4.423 | 0.191 | 0.298 | 0.974 | 0.278 | 5.817 |
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 | 74 | 80 | 50 | 47 | 62 | 58 | 92 | 69 | 55 |
N.S. |
1 | 1.08 | 0.68 | 0.64 | 0.84 | 0.78 | 1.24 | 0.93 | 0.74 |
time (sec) |
N/A | 0.204 | 0.052 | 4.383 | 0.188 | 0.284 | 0.650 | 0.284 | 5.791 |
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 | 57 | 61 | 39 | 36 | 47 | 47 | 68 | 53 | 39 |
N.S. |
1 | 1.07 | 0.68 | 0.63 | 0.82 | 0.82 | 1.19 | 0.93 | 0.68 |
time (sec) |
N/A | 0.204 | 0.047 | 4.451 | 0.202 | 0.255 | 0.407 | 0.266 | 5.736 |
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 | 35 | 40 | 27 | 24 | 29 | 35 | 44 | 34 | 23 |
N.S. |
1 | 1.14 | 0.77 | 0.69 | 0.83 | 1.00 | 1.26 | 0.97 | 0.66 |
time (sec) |
N/A | 0.184 | 0.040 | 4.299 | 0.195 | 0.265 | 0.260 | 0.281 | 5.767 |
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 | 16 | 16 | 16 | 15 | 14 | 24 | 24 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.88 | 1.50 | 1.50 | 0.88 | 0.88 |
time (sec) |
N/A | 0.147 | 0.023 | 4.337 | 0.192 | 0.262 | 0.127 | 0.270 | 6.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 81 | 66 | 92 | 75 | 182 | 39 | 199 | 52 |
N.S. |
1 | 1.16 | 0.94 | 1.31 | 1.07 | 2.60 | 0.56 | 2.84 | 0.74 |
time (sec) |
N/A | 0.222 | 0.108 | 4.479 | 0.276 | 0.276 | 0.589 | 0.282 | 6.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 109 | 81 | 112 | 110 | 272 | 39 | 234 | 87 |
N.S. |
1 | 1.12 | 0.84 | 1.15 | 1.13 | 2.80 | 0.40 | 2.41 | 0.90 |
time (sec) |
N/A | 0.226 | 0.239 | 4.490 | 0.289 | 0.284 | 0.991 | 0.293 | 5.974 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 139 | 98 | 127 | 146 | 285 | 39 | 255 | 123 |
N.S. |
1 | 1.11 | 0.78 | 1.02 | 1.17 | 2.28 | 0.31 | 2.04 | 0.98 |
time (sec) |
N/A | 0.239 | 0.286 | 4.482 | 0.285 | 0.273 | 2.581 | 0.282 | 6.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 142 | 79 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.11 | 0.62 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.00 |
time (sec) |
N/A | 0.233 | 9.778 | 0.000 | 0.000 | 0.000 | 0.745 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 112 | 66 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.08 | 0.63 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 9.305 | 0.000 | 0.000 | 0.000 | 0.581 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 77 | 82 | 54 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.06 | 0.70 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 8.672 | 0.000 | 0.000 | 0.000 | 0.488 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 8.536 | 0.000 | 0.000 | 0.000 | 0.488 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 54 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 10.016 | 0.000 | 0.000 | 0.000 | 0.607 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 112 | 54 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.08 | 0.52 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 10.017 | 0.000 | 0.000 | 0.000 | 0.765 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 142 | 54 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.11 | 0.42 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 10.016 | 0.000 | 0.000 | 0.000 | 0.970 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 140 | 98 | 125 | 172 | 292 | 37 | 0 | 0 |
N.S. |
1 | 1.14 | 0.80 | 1.02 | 1.40 | 2.37 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 0.864 | 4.898 | 0.286 | 0.267 | 2.426 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 110 | 82 | 111 | 130 | 280 | 37 | 0 | 0 |
N.S. |
1 | 1.13 | 0.85 | 1.14 | 1.34 | 2.89 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.223 | 0.638 | 4.552 | 0.283 | 0.255 | 0.899 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 79 | 67 | 99 | 88 | 206 | 37 | 0 | 0 |
N.S. |
1 | 1.07 | 0.91 | 1.34 | 1.19 | 2.78 | 0.50 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.476 | 4.406 | 0.298 | 0.280 | 0.582 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 14 | 23 | 29 | 0 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.88 | 1.44 | 1.81 | 0.00 | 0.88 |
time (sec) |
N/A | 0.138 | 0.252 | 4.292 | 0.214 | 0.254 | 0.377 | 0.000 | 6.051 |
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 | 42 | 42 | 31 | 26 | 34 | 37 | 68 | 0 | 25 |
N.S. |
1 | 1.00 | 0.74 | 0.62 | 0.81 | 0.88 | 1.62 | 0.00 | 0.60 |
time (sec) |
N/A | 0.157 | 0.312 | 4.487 | 0.232 | 0.257 | 0.573 | 0.000 | 6.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 72 | 42 | 39 | 53 | 50 | 323 | 0 | 70 |
N.S. |
1 | 1.09 | 0.64 | 0.59 | 0.80 | 0.76 | 4.89 | 0.00 | 1.06 |
time (sec) |
N/A | 0.183 | 0.550 | 4.506 | 0.206 | 0.252 | 0.879 | 0.000 | 6.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 102 | 53 | 50 | 71 | 61 | 592 | 0 | 74 |
N.S. |
1 | 1.13 | 0.59 | 0.56 | 0.79 | 0.68 | 6.58 | 0.00 | 0.82 |
time (sec) |
N/A | 0.214 | 0.728 | 4.418 | 0.219 | 0.279 | 1.321 | 0.000 | 6.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 132 | 64 | 61 | 87 | 72 | 928 | 0 | 93 |
N.S. |
1 | 1.16 | 0.56 | 0.54 | 0.76 | 0.63 | 8.14 | 0.00 | 0.82 |
time (sec) |
N/A | 0.262 | 1.012 | 4.500 | 0.218 | 0.269 | 1.924 | 0.000 | 6.530 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 143 | 80 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.11 | 0.62 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 9.644 | 0.000 | 0.000 | 0.000 | 0.822 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 113 | 67 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.08 | 0.64 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 9.069 | 0.000 | 0.000 | 0.000 | 0.612 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 60 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 8.478 | 0.000 | 0.000 | 0.000 | 0.499 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 54 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.63 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 8.070 | 0.000 | 0.000 | 0.000 | 0.490 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 0 | 0 | 0 | 39 | 0 | 40 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 0.00 | 0.49 | 0.00 | 0.51 |
time (sec) |
N/A | 0.235 | 10.013 | 0.000 | 0.000 | 0.000 | 0.543 | 0.000 | 6.290 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 109 | 54 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.04 | 0.51 | 0.00 | 0.00 | 0.00 | 0.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 10.013 | 0.000 | 0.000 | 0.000 | 0.682 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 54 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.08 | 0.42 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.303 | 10.018 | 0.000 | 0.000 | 0.000 | 0.904 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 153 | 169 | 54 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.10 | 0.35 | 0.00 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 10.018 | 0.000 | 0.000 | 0.000 | 1.172 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 56 | 0 | 0 | 0 | 36 | 0 | 37 |
N.S. |
1 | 1.00 | 0.67 | 0.00 | 0.00 | 0.00 | 0.43 | 0.00 | 0.45 |
time (sec) |
N/A | 0.226 | 8.399 | 0.000 | 0.000 | 0.000 | 0.528 | 0.000 | 5.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 29 | 26 | 31 | 47 | 126 | 0 | 28 |
N.S. |
1 | 1.00 | 0.74 | 0.67 | 0.79 | 1.21 | 3.23 | 0.00 | 0.72 |
time (sec) |
N/A | 0.164 | 0.356 | 4.295 | 0.195 | 0.269 | 0.648 | 0.000 | 5.531 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 110 | 72 | 0 | 0 | 0 | 36 | 0 | 37 |
N.S. |
1 | 1.08 | 0.71 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.36 |
time (sec) |
N/A | 0.249 | 10.039 | 0.000 | 0.000 | 0.000 | 0.880 | 0.000 | 5.561 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 66 | 40 | 37 | 50 | 69 | 515 | 0 | 44 |
N.S. |
1 | 1.14 | 0.69 | 0.64 | 0.86 | 1.19 | 8.88 | 0.00 | 0.76 |
time (sec) |
N/A | 0.184 | 0.511 | 4.494 | 0.200 | 0.248 | 1.316 | 0.000 | 5.486 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 93 | 51 | 48 | 67 | 91 | 1550 | 0 | 61 |
N.S. |
1 | 1.21 | 0.66 | 0.62 | 0.87 | 1.18 | 20.13 | 0.00 | 0.79 |
time (sec) |
N/A | 0.203 | 0.901 | 4.375 | 0.213 | 0.260 | 2.533 | 0.000 | 5.598 |
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 | 106 | 110 | 73 | 59 | 86 | 69 | 134 | 120 | 68 |
N.S. |
1 | 1.04 | 0.69 | 0.56 | 0.81 | 0.65 | 1.26 | 1.13 | 0.64 |
time (sec) |
N/A | 0.227 | 0.060 | 4.342 | 0.198 | 0.253 | 0.958 | 0.326 | 5.834 |
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 | 84 | 88 | 62 | 48 | 68 | 58 | 110 | 94 | 57 |
N.S. |
1 | 1.05 | 0.74 | 0.57 | 0.81 | 0.69 | 1.31 | 1.12 | 0.68 |
time (sec) |
N/A | 0.211 | 0.048 | 4.264 | 0.201 | 0.260 | 0.662 | 0.306 | 5.461 |
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 | 62 | 66 | 51 | 37 | 50 | 47 | 87 | 68 | 46 |
N.S. |
1 | 1.06 | 0.82 | 0.60 | 0.81 | 0.76 | 1.40 | 1.10 | 0.74 |
time (sec) |
N/A | 0.202 | 0.050 | 4.626 | 0.204 | 0.268 | 0.436 | 0.296 | 5.779 |
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 | 40 | 44 | 40 | 26 | 32 | 36 | 63 | 42 | 35 |
N.S. |
1 | 1.10 | 1.00 | 0.65 | 0.80 | 0.90 | 1.58 | 1.05 | 0.88 |
time (sec) |
N/A | 0.181 | 0.038 | 4.479 | 0.217 | 0.286 | 0.283 | 0.300 | 5.728 |
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 | 19 | 19 | 19 | 16 | 15 | 24 | 39 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 1.26 | 2.05 | 0.79 | 0.79 |
time (sec) |
N/A | 0.145 | 0.020 | 4.312 | 0.191 | 0.269 | 0.115 | 0.280 | 5.681 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 84 | 69 | 75 | 70 | 97 | 44 | 190 | 51 |
N.S. |
1 | 1.22 | 1.00 | 1.09 | 1.01 | 1.41 | 0.64 | 2.75 | 0.74 |
time (sec) |
N/A | 0.197 | 0.085 | 4.828 | 0.291 | 0.362 | 0.627 | 0.276 | 5.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 80 | 74 | 89 | 77 | 176 | 42 | 220 | 58 |
N.S. |
1 | 1.03 | 0.95 | 1.14 | 0.99 | 2.26 | 0.54 | 2.82 | 0.74 |
time (sec) |
N/A | 0.190 | 0.175 | 4.491 | 0.282 | 0.271 | 0.741 | 0.276 | 5.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 114 | 94 | 113 | 138 | 214 | 42 | 251 | 83 |
N.S. |
1 | 1.09 | 0.90 | 1.08 | 1.31 | 2.04 | 0.40 | 2.39 | 0.79 |
time (sec) |
N/A | 0.206 | 0.212 | 4.412 | 0.280 | 0.286 | 1.271 | 0.290 | 6.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 145 | 98 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.12 | 0.75 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 7.456 | 0.000 | 0.000 | 0.000 | 0.656 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 114 | 66 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.09 | 0.63 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 7.239 | 0.000 | 0.000 | 0.000 | 0.554 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 86 | 52 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.05 | 0.63 | 0.00 | 0.00 | 0.00 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 7.063 | 0.000 | 0.000 | 0.000 | 0.486 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 52 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 0.00 | 0.00 | 0.00 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 10.016 | 0.000 | 0.000 | 0.000 | 0.524 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 109 | 52 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.04 | 0.50 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 10.019 | 0.000 | 0.000 | 0.000 | 0.610 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 140 | 52 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.08 | 0.40 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.233 | 10.016 | 0.000 | 0.000 | 0.000 | 0.786 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 280 | 161 | 202 | 272 | 232 | 41 | 0 | 0 |
N.S. |
1 | 1.06 | 0.61 | 0.77 | 1.03 | 0.88 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.435 | 0.839 | 6.546 | 0.285 | 0.271 | 1.158 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 232 | 249 | 146 | 176 | 214 | 192 | 41 | 0 | 0 |
N.S. |
1 | 1.07 | 0.63 | 0.76 | 0.92 | 0.83 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.389 | 0.580 | 4.634 | 0.293 | 0.264 | 0.664 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-1) | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 226 | 245 | 146 | 179 | 191 | 0 | 42 | 0 | 41 |
N.S. |
1 | 1.08 | 0.65 | 0.79 | 0.85 | 0.00 | 0.19 | 0.00 | 0.18 |
time (sec) |
N/A | 0.385 | 0.468 | 4.522 | 0.296 | 0.000 | 0.659 | 0.000 | 5.845 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 19 | 18 | 27 | 158 | 0 | 18 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.82 | 1.23 | 7.18 | 0.00 | 0.82 |
time (sec) |
N/A | 0.146 | 0.171 | 4.470 | 0.196 | 0.268 | 0.511 | 0.000 | 5.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 42 | 29 | 37 | 38 | 406 | 0 | 38 |
N.S. |
1 | 1.00 | 0.91 | 0.63 | 0.80 | 0.83 | 8.83 | 0.00 | 0.83 |
time (sec) |
N/A | 0.167 | 0.196 | 4.551 | 0.198 | 0.260 | 0.725 | 0.000 | 5.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 77 | 43 | 40 | 55 | 50 | 1090 | 0 | 77 |
N.S. |
1 | 1.08 | 0.61 | 0.56 | 0.77 | 0.70 | 15.35 | 0.00 | 1.08 |
time (sec) |
N/A | 0.192 | 0.211 | 4.495 | 0.186 | 0.281 | 1.061 | 0.000 | 6.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 108 | 54 | 51 | 73 | 61 | 1756 | 0 | 98 |
N.S. |
1 | 1.12 | 0.56 | 0.53 | 0.76 | 0.64 | 18.29 | 0.00 | 1.02 |
time (sec) |
N/A | 0.221 | 0.233 | 4.537 | 0.187 | 0.256 | 1.519 | 0.000 | 6.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 156 | 173 | 108 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.11 | 0.69 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 7.673 | 0.000 | 0.000 | 0.000 | 0.756 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 142 | 96 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.08 | 0.73 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.299 | 7.478 | 0.000 | 0.000 | 0.000 | 0.623 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 106 | 111 | 64 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.05 | 0.60 | 0.00 | 0.00 | 0.00 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 7.281 | 0.000 | 0.000 | 0.000 | 0.520 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 47 | 0 | 0 | 0 | 39 | 0 | 38 |
N.S. |
1 | 1.00 | 0.57 | 0.00 | 0.00 | 0.00 | 0.47 | 0.00 | 0.46 |
time (sec) |
N/A | 0.221 | 7.107 | 0.000 | 0.000 | 0.000 | 0.481 | 0.000 | 5.583 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 52 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.00 | 0.00 | 0.00 | 0.40 | 0.00 | 0.00 |
time (sec) |
N/A | 0.229 | 10.016 | 0.000 | 0.000 | 0.000 | 0.535 | 0.000 | 0.000 |