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 | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 48 | 0 | 0 | 46 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 0.005 | 0.000 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.038 | 0.026 | 0.139 | 0.276 | 0.254 | 1.191 | 0.269 | 4.787 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.063 | 0.026 | 0.145 | 0.271 | 0.263 | 1.680 | 0.280 | 4.748 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.094 | 0.026 | 0.137 | 0.267 | 0.273 | 3.082 | 0.289 | 4.977 |
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 | 163 | 163 | 163 | 0 | 0 | 141 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.151 | 0.008 | 0.000 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.136 | 0.025 | 0.138 | 0.268 | 0.258 | 11.227 | 0.283 | 4.717 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.221 | 0.026 | 0.155 | 0.283 | 0.265 | 21.230 | 0.271 | 4.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.217 | 0.027 | 0.135 | 0.289 | 0.247 | 38.007 | 0.282 | 4.701 |
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 | 278 | 278 | 278 | 0 | 0 | 203 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.009 | 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 | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 89 | 26 | 126 | 85 | 184 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.21 | 1.02 | 0.69 | 1.48 | 0.00 | 0.00 |
time (sec) |
N/A | 0.056 | 0.053 | 0.598 | 0.299 | 0.258 | 1.080 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 83 | 26 | 74 | 79 | 153 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 0.24 | 0.68 | 0.72 | 1.40 | 0.00 | 0.00 |
time (sec) |
N/A | 0.072 | 0.041 | 0.579 | 0.202 | 0.256 | 1.165 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 80 | 26 | 110 | 86 | 49 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.26 | 1.11 | 0.87 | 0.49 | 0.00 | 0.00 |
time (sec) |
N/A | 0.040 | 0.048 | 0.394 | 0.288 | 0.248 | 0.485 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 71 | 26 | 61 | 66 | 116 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.31 | 0.73 | 0.79 | 1.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.054 | 0.031 | 0.401 | 0.200 | 0.266 | 0.628 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 74 | 62 | 94 | 59 | 112 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 1.27 | 0.80 | 1.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 0.013 | 0.382 | 0.300 | 0.251 | 0.555 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 59 | 26 | 49 | 54 | 80 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.44 | 0.83 | 0.92 | 1.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.035 | 0.011 | 0.380 | 0.207 | 0.268 | 0.576 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 26 | 70 | 51 | 49 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.53 | 1.43 | 1.04 | 1.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.017 | 0.010 | 0.389 | 0.292 | 0.261 | 0.319 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 26 | 27 | 28 | 44 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 1.00 | 1.04 | 1.63 | 0.00 | 0.00 |
time (sec) |
N/A | 0.004 | 0.004 | 0.476 | 0.183 | 0.245 | 0.405 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | F | A | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 0 | 23 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.33 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 |
time (sec) |
N/A | 0.033 | 0.000 | 0.457 | 0.000 | 0.000 | 0.336 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 24 | 34 | 25 | 53 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 1.26 | 0.93 | 1.96 | 0.00 | 0.00 |
time (sec) |
N/A | 0.016 | 0.010 | 0.438 | 0.284 | 0.262 | 0.551 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 26 | 61 | 42 | 51 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.59 | 1.39 | 0.95 | 1.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.019 | 0.010 | 0.443 | 0.339 | 0.256 | 0.358 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 52 | 26 | 44 | 44 | 42 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.50 | 0.85 | 0.85 | 0.81 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 0.014 | 0.428 | 0.268 | 0.272 | 0.403 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 69 | 64 | 61 | 56 | 110 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.88 | 0.81 | 1.59 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 0.012 | 0.410 | 0.342 | 0.260 | 0.663 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 77 | 68 | 46 | 65 | 65 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.60 | 0.84 | 0.84 | 0.00 | 0.00 |
time (sec) |
N/A | 0.066 | 0.014 | 0.469 | 0.265 | 0.260 | 1.346 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 74 | 26 | 61 | 79 | 56 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.28 | 0.65 | 0.84 | 0.60 | 0.00 | 0.00 |
time (sec) |
N/A | 0.038 | 0.079 | 0.394 | 0.342 | 0.262 | 0.688 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 84 | 26 | 48 | 78 | 44 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.25 | 0.47 | 0.76 | 0.43 | 0.00 | 0.00 |
time (sec) |
N/A | 0.089 | 0.100 | 0.424 | 0.293 | 0.265 | 0.889 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 85 | 26 | 61 | 81 | 185 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 0.22 | 0.51 | 0.68 | 1.55 | 0.00 | 0.00 |
time (sec) |
N/A | 0.052 | 0.045 | 0.428 | 0.348 | 0.258 | 1.453 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 96 | 90 | 46 | 91 | 76 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 0.71 | 0.36 | 0.72 | 0.60 | 0.00 | 0.00 |
time (sec) |
N/A | 0.100 | 0.062 | 0.521 | 0.283 | 0.277 | 6.963 | 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 | 298 | 298 | 424 | 275 | 0 | 375 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.42 | 0.92 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 0.571 | 0.868 | 0.000 | 0.273 | 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 | 194 | 194 | 237 | 190 | 0 | 249 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 0.98 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 0.327 | 0.718 | 0.000 | 0.273 | 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 | 122 | 122 | 74 | 108 | 0 | 132 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.89 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.083 | 0.185 | 0.512 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 90 | 34 | 44 | 47 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.43 | 0.92 | 1.19 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 0.023 | 0.544 | 0.199 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 14 | 16 | 16 | 12 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 1.14 | 1.14 | 0.86 | 1.14 | 1.14 |
time (sec) |
N/A | 0.012 | 0.020 | 0.314 | 0.748 | 0.261 | 0.381 | 0.270 | 4.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 14 | 16 | 27 | 14 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 1.14 | 1.93 | 1.00 | 1.14 | 1.14 |
time (sec) |
N/A | 0.011 | 1.500 | 0.283 | 0.456 | 0.250 | 0.577 | 0.264 | 4.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 166 | 187 | 502 | 176 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.82 | 2.21 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.129 | 0.215 | 0.571 | 1.096 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 116 | 122 | 423 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.82 | 2.86 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.094 | 0.214 | 0.527 | 0.812 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 59 | 79 | 311 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.83 | 3.27 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.054 | 0.109 | 0.542 | 0.725 | 0.252 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 90 | 34 | 44 | 47 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.43 | 0.92 | 1.19 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 0.020 | 0.434 | 0.186 | 0.252 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 8 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 0.80 | 1.20 | 1.20 |
time (sec) |
N/A | 0.009 | 0.017 | 0.175 | 0.767 | 0.262 | 0.314 | 0.263 | 4.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.009 | 0.941 | 0.128 | 0.438 | 0.247 | 0.260 | 0.258 | 4.637 |
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 | 253 | 253 | 181 | 0 | 0 | 183 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 0.098 | 0.000 | 0.000 | 0.265 | 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 | 239 | 239 | 170 | 324 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 1.36 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 0.177 | 0.589 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 265 | 265 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 137 | 209 | 0 | 149 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.18 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.134 | 0.093 | 0.524 | 0.000 | 0.268 | 0.000 | 0.000 | 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 | 140 | 140 | 114 | 0 | 0 | 118 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.108 | 0.039 | 0.000 | 0.000 | 0.250 | 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 | 124 | 124 | 100 | 122 | 0 | 111 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.98 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.082 | 0.068 | 0.495 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.062 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 49 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.026 | 0.011 | 0.493 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 8 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 0.80 | 1.20 | 1.20 |
time (sec) |
N/A | 0.012 | 0.016 | 0.022 | 0.219 | 0.262 | 1.110 | 0.261 | 4.788 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.045 | 0.020 | 0.069 | 0.218 | 0.262 | 1.039 | 0.267 | 4.907 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.043 | 0.015 | 0.063 | 0.215 | 0.249 | 1.085 | 0.274 | 4.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.067 | 0.023 | 0.063 | 0.217 | 0.257 | 1.110 | 0.256 | 4.959 |
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 | 127 | 127 | 127 | 0 | 0 | 102 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.099 | 0.006 | 0.000 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.096 | 0.022 | 0.073 | 0.214 | 0.251 | 1.197 | 0.268 | 4.902 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.147 | 0.018 | 0.069 | 0.222 | 0.260 | 1.294 | 0.260 | 4.952 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.158 | 0.022 | 0.063 | 0.225 | 0.256 | 1.494 | 0.250 | 5.111 |
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 | 242 | 242 | 242 | 0 | 0 | 178 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.257 | 0.009 | 0.000 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.229 | 0.021 | 0.062 | 0.256 | 0.257 | 2.175 | 0.263 | 4.719 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 495 | 495 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.303 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.148 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 66 | 60 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.87 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.166 | 0.010 | 0.543 | 0.000 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.018 | 0.032 | 0.171 | 0.224 | 0.278 | 0.436 | 0.250 | 4.751 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 29 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.81 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.019 | 0.057 | 0.239 | 0.230 | 0.263 | 0.571 | 0.273 | 4.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 318 | 0 | 0 | 448 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.38 | 0.00 | 0.00 | 1.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.304 | 4.612 | 0.000 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 318 | 0 | 0 | 448 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.40 | 0.00 | 0.00 | 1.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 4.324 | 0.000 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 315 | 0 | 0 | 445 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.47 | 0.00 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 4.677 | 0.000 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 165 | 64 | 82 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.50 | 0.97 | 1.24 | 1.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.032 | 0.081 | 1.638 | 0.203 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 194 | 0 | 0 | 444 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 2.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 2.661 | 0.000 | 0.000 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 199 | 0 | 0 | 460 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 2.615 | 0.000 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 244 | 0 | 0 | 689 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 3.661 | 0.000 | 0.000 | 0.309 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.057 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.055 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.039 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.036 | 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 | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 11 | 10 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.77 | 0.00 | 0.00 |
time (sec) |
N/A | 0.010 | 0.009 | 0.522 | 0.188 | 0.277 | 0.181 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 11 | 10 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.77 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 0.006 | 0.451 | 0.187 | 0.271 | 0.110 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 10 | 9 | 9 | 10 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.00 | 1.00 | 1.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.010 | 0.010 | 0.551 | 0.190 | 0.246 | 0.113 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 11 | 11 | 12 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.09 | 1.00 | 1.00 | 1.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.010 | 0.006 | 0.564 | 0.183 | 0.248 | 0.272 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 11 | 15 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 1.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.006 | 0.700 | 0.195 | 0.246 | 0.527 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 18 | 17 | 18 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.06 | 2.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.014 | 0.010 | 0.806 | 0.218 | 0.258 | 0.615 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 231 | 0 | 0 | 169 | 301 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.73 | 1.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.343 | 0.008 | 0.000 | 0.000 | 0.275 | 14.179 | 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 | 215 | 215 | 154 | 317 | 0 | 167 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.47 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.164 | 7.284 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 120 | 202 | 0 | 132 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.29 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.127 | 0.100 | 2.396 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 120 | 0 | 0 | 105 | 151 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.88 | 1.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.086 | 0.008 | 0.000 | 0.000 | 0.261 | 1.294 | 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 | 104 | 104 | 83 | 114 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 1.10 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.056 | 0.066 | 1.020 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.043 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 44 | 45 | 0 | 47 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.94 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.017 | 0.023 | 0.702 | 0.000 | 0.262 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 11 | 10 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.77 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 0.000 | 0.324 | 0.191 | 0.254 | 0.113 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 0.95 | 1.00 | 1.00 |
time (sec) |
N/A | 0.011 | 0.023 | 0.134 | 0.278 | 0.261 | 0.963 | 0.279 | 4.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.012 | 0.023 | 0.126 | 0.283 | 0.253 | 0.931 | 0.277 | 4.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.040 | 0.023 | 0.129 | 0.290 | 0.258 | 1.169 | 0.289 | 4.649 |
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 | 109 | 109 | 109 | 0 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.077 | 0.008 | 0.000 | 0.000 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.085 | 0.024 | 0.132 | 0.292 | 0.253 | 2.956 | 0.280 | 4.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.138 | 0.024 | 0.131 | 0.289 | 0.260 | 5.583 | 0.286 | 4.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.149 | 0.025 | 0.126 | 0.282 | 0.267 | 11.051 | 0.277 | 4.610 |
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 | 224 | 224 | 224 | 0 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 0.008 | 0.000 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.228 | 0.028 | 0.126 | 0.294 | 0.257 | 36.966 | 0.281 | 4.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.334 | 0.023 | 0.125 | 0.296 | 0.257 | 65.464 | 0.281 | 4.715 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 17 | 19 | 19 | 19 | 19 | 19 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.009 | 0.052 | 0.129 | 0.284 | 0.257 | 1.129 | 0.306 | 4.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 308 | 308 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.295 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |