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 | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 111 | 93 | 101 | 109 | 492 | 0 | 140 | 1959 |
N.S. |
1 | 1.19 | 1.00 | 1.09 | 1.17 | 5.29 | 0.00 | 1.51 | 21.06 |
time (sec) |
N/A | 0.297 | 11.371 | 0.704 | 0.336 | 0.327 | 0.000 | 0.392 | 15.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 74 | 75 | 74 | 419 | 0 | 109 | 72 |
N.S. |
1 | 1.00 | 0.95 | 0.96 | 0.95 | 5.37 | 0.00 | 1.40 | 0.92 |
time (sec) |
N/A | 0.330 | 11.210 | 0.621 | 0.337 | 0.280 | 0.000 | 0.390 | 13.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 84 | 87 | 89 | 463 | 0 | 113 | 79 |
N.S. |
1 | 1.00 | 0.97 | 1.00 | 1.02 | 5.32 | 0.00 | 1.30 | 0.91 |
time (sec) |
N/A | 0.322 | 11.201 | 0.602 | 0.388 | 0.293 | 0.000 | 0.365 | 13.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 131 | 155 | 103 | 133 | 588 | 0 | 179 | 132 |
N.S. |
1 | 1.03 | 1.22 | 0.81 | 1.05 | 4.63 | 0.00 | 1.41 | 1.04 |
time (sec) |
N/A | 0.307 | 1.256 | 0.906 | 0.437 | 0.302 | 0.000 | 0.381 | 13.735 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 158 | 202 | 122 | 172 | 843 | 0 | 174 | 164 |
N.S. |
1 | 0.98 | 1.25 | 0.75 | 1.06 | 5.20 | 0.00 | 1.07 | 1.01 |
time (sec) |
N/A | 0.374 | 2.326 | 1.249 | 0.382 | 0.300 | 0.000 | 0.364 | 14.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 178 | 134 | 158 | 234 | 950 | 0 | 224 | 3189 |
N.S. |
1 | 1.20 | 0.91 | 1.07 | 1.58 | 6.42 | 0.00 | 1.51 | 21.55 |
time (sec) |
N/A | 0.410 | 12.307 | 1.197 | 0.371 | 0.310 | 0.000 | 0.403 | 17.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 115 | 97 | 109 | 158 | 683 | 0 | 152 | 149 |
N.S. |
1 | 1.05 | 0.88 | 0.99 | 1.44 | 6.21 | 0.00 | 1.38 | 1.35 |
time (sec) |
N/A | 0.271 | 11.501 | 0.999 | 0.333 | 0.328 | 0.000 | 0.390 | 14.528 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 141 | 112 | 131 | 191 | 771 | 0 | 191 | 159 |
N.S. |
1 | 1.08 | 0.85 | 1.00 | 1.46 | 5.89 | 0.00 | 1.46 | 1.21 |
time (sec) |
N/A | 0.512 | 11.641 | 1.053 | 0.327 | 0.322 | 0.000 | 0.383 | 14.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 157 | 125 | 148 | 211 | 843 | 0 | 211 | 176 |
N.S. |
1 | 1.09 | 0.87 | 1.03 | 1.47 | 5.85 | 0.00 | 1.47 | 1.22 |
time (sec) |
N/A | 0.532 | 11.721 | 1.085 | 0.387 | 0.297 | 0.000 | 0.327 | 14.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 209 | 214 | 160 | 270 | 1003 | 0 | 232 | 251 |
N.S. |
1 | 1.07 | 1.09 | 0.82 | 1.38 | 5.12 | 0.00 | 1.18 | 1.28 |
time (sec) |
N/A | 0.399 | 2.824 | 1.665 | 0.479 | 0.362 | 0.000 | 0.398 | 15.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 206 | 232 | 201 | 230 | 378 | 1361 | 0 | 344 | 339 |
N.S. |
1 | 1.13 | 0.98 | 1.12 | 1.83 | 6.61 | 0.00 | 1.67 | 1.65 |
time (sec) |
N/A | 0.788 | 11.746 | 1.874 | 0.404 | 0.339 | 0.000 | 0.344 | 15.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 318 | 312 | 336 | 588 | 2017 | 0 | 524 | 450 |
N.S. |
1 | 1.14 | 1.12 | 1.20 | 2.11 | 7.23 | 0.00 | 1.88 | 1.61 |
time (sec) |
N/A | 1.128 | 11.903 | 3.546 | 0.397 | 0.383 | 0.000 | 0.380 | 16.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 29 | 33 | 10 | 57 | 0 | 25 | 18 |
N.S. |
1 | 1.00 | 2.64 | 3.00 | 0.91 | 5.18 | 0.00 | 2.27 | 1.64 |
time (sec) |
N/A | 0.187 | 0.050 | 0.682 | 0.342 | 0.270 | 0.000 | 0.328 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 53 | 51 | 25 | 71 | 0 | 25 | 0 |
N.S. |
1 | 1.00 | 1.77 | 1.70 | 0.83 | 2.37 | 0.00 | 0.83 | 0.00 |
time (sec) |
N/A | 0.197 | 0.045 | 0.768 | 0.369 | 0.287 | 0.000 | 0.326 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 39 | 57 | 11 | 94 | 0 | 48 | 0 |
N.S. |
1 | 1.00 | 2.60 | 3.80 | 0.73 | 6.27 | 0.00 | 3.20 | 0.00 |
time (sec) |
N/A | 0.193 | 0.149 | 0.704 | 0.406 | 0.288 | 0.000 | 0.528 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 56 | 33 | 32 | 31 | 40 | 0 | 84 | 0 |
N.S. |
1 | 1.06 | 0.62 | 0.60 | 0.58 | 0.75 | 0.00 | 1.58 | 0.00 |
time (sec) |
N/A | 0.408 | 0.016 | 1.152 | 0.379 | 0.247 | 0.000 | 0.378 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 23 | 24 | 17 | 26 | 0 | 57 | 0 |
N.S. |
1 | 1.00 | 0.68 | 0.71 | 0.50 | 0.76 | 0.00 | 1.68 | 0.00 |
time (sec) |
N/A | 0.318 | 0.008 | 0.589 | 0.371 | 0.258 | 0.000 | 0.342 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 15 | 6 | 15 | 0 | 27 | 46 |
N.S. |
1 | 1.00 | 1.00 | 1.15 | 0.46 | 1.15 | 0.00 | 2.08 | 3.54 |
time (sec) |
N/A | 0.254 | 0.016 | 0.615 | 0.415 | 0.251 | 0.000 | 0.306 | 0.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 22 | 38 | 65 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.38 | 2.38 | 4.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.265 | 0.006 | 0.309 | 0.399 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 26 | 41 | 304 | 40 | 0 | 47 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.98 | 7.24 | 0.95 | 0.00 | 1.12 | 0.00 |
time (sec) |
N/A | 0.334 | 0.012 | 0.720 | 0.419 | 0.276 | 0.000 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 69 | 36 | 63 | 933 | 49 | 0 | 63 | 0 |
N.S. |
1 | 1.13 | 0.59 | 1.03 | 15.30 | 0.80 | 0.00 | 1.03 | 0.00 |
time (sec) |
N/A | 0.439 | 0.026 | 0.834 | 0.598 | 0.272 | 0.000 | 0.335 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 121 | 119 | 311 | 176 | 501 | 0 | 2404 | 0 |
N.S. |
1 | 0.97 | 0.95 | 2.49 | 1.41 | 4.01 | 0.00 | 19.23 | 0.00 |
time (sec) |
N/A | 0.275 | 0.483 | 1.134 | 0.340 | 0.523 | 0.000 | 0.496 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 77 | 93 | 184 | 70 | 433 | 0 | 723 | 0 |
N.S. |
1 | 0.99 | 1.19 | 2.36 | 0.90 | 5.55 | 0.00 | 9.27 | 0.00 |
time (sec) |
N/A | 0.236 | 0.220 | 0.781 | 0.345 | 0.375 | 0.000 | 0.412 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 80 | 99 | 174 | 132 | 1158 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.19 | 2.10 | 1.59 | 13.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.278 | 0.200 | 1.009 | 0.326 | 0.477 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 91 | 100 | 227 | 0 | 338 | 0 | 434 | 0 |
N.S. |
1 | 1.08 | 1.19 | 2.70 | 0.00 | 4.02 | 0.00 | 5.17 | 0.00 |
time (sec) |
N/A | 0.267 | 0.365 | 0.928 | 0.000 | 0.320 | 0.000 | 0.488 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 151 | 127 | 379 | 0 | 520 | 0 | 914 | 0 |
N.S. |
1 | 1.06 | 0.89 | 2.65 | 0.00 | 3.64 | 0.00 | 6.39 | 0.00 |
time (sec) |
N/A | 0.304 | 0.522 | 1.095 | 0.000 | 0.449 | 0.000 | 0.567 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 259 | 262 | 199 | 413 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.77 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 1.080 | 3.372 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 159 | 266 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.841 | 0.674 | 2.299 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 61 | 71 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 1.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.276 | 0.096 | 1.444 | 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 | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 176 | 137 | 156 | 0 | 626 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.79 | 0.90 | 0.00 | 3.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.373 | 0.578 | 1.805 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 243 | 188 | 342 | 0 | 947 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.80 | 1.46 | 0.00 | 4.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.454 | 2.213 | 2.456 | 0.000 | 0.140 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 157 | 152 | 446 | 248 | 579 | 0 | 5251 | 0 |
N.S. |
1 | 0.93 | 0.90 | 2.64 | 1.47 | 3.43 | 0.00 | 31.07 | 0.00 |
time (sec) |
N/A | 0.307 | 0.700 | 1.081 | 0.352 | 1.216 | 0.000 | 0.934 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 113 | 113 | 309 | 106 | 495 | 0 | 2403 | 0 |
N.S. |
1 | 0.99 | 0.99 | 2.71 | 0.93 | 4.34 | 0.00 | 21.08 | 0.00 |
time (sec) |
N/A | 0.261 | 0.312 | 1.122 | 0.314 | 0.544 | 0.000 | 0.629 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 120 | 141 | 255 | 179 | 1282 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.16 | 2.09 | 1.47 | 10.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.334 | 0.677 | 1.130 | 0.498 | 0.576 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 134 | 147 | 287 | 0 | 1449 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.15 | 2.24 | 0.00 | 11.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.331 | 0.894 | 1.165 | 0.000 | 0.588 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 141 | 114 | 376 | 0 | 484 | 0 | 912 | 0 |
N.S. |
1 | 1.10 | 0.89 | 2.94 | 0.00 | 3.78 | 0.00 | 7.12 | 0.00 |
time (sec) |
N/A | 0.309 | 0.635 | 1.104 | 0.000 | 0.431 | 0.000 | 0.722 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 201 | 161 | 565 | 0 | 752 | 0 | 1623 | 0 |
N.S. |
1 | 1.02 | 0.82 | 2.87 | 0.00 | 3.82 | 0.00 | 8.24 | 0.00 |
time (sec) |
N/A | 0.341 | 1.597 | 1.390 | 0.000 | 1.131 | 0.000 | 0.939 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 339 | 249 | 602 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.77 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.618 | 1.865 | 4.042 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 223 | 201 | 429 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.92 | 1.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.166 | 1.042 | 3.539 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 155 | 156 | 266 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.01 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.781 | 0.559 | 2.388 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 183 | 141 | 174 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.78 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.394 | 1.088 | 2.276 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 243 | 201 | 408 | 0 | 969 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.85 | 1.73 | 0.00 | 4.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 3.064 | 2.604 | 0.000 | 0.138 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 215 | 194 | 437 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.92 | 2.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.145 | 0.991 | 4.219 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 82 | 105 | 148 | 75 | 438 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.27 | 1.78 | 0.90 | 5.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 0.369 | 0.908 | 0.399 | 0.362 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 53 | 99 | 24 | 370 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 2.41 | 0.59 | 9.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.141 | 0.647 | 0.322 | 0.354 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 48 | 112 | 109 | 219 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 2.73 | 2.66 | 5.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.221 | 0.877 | 0.325 | 0.305 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 96 | 102 | 165 | 0 | 347 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.15 | 1.85 | 0.00 | 3.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.291 | 0.401 | 1.084 | 0.000 | 0.353 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 206 | 196 | 163 | 268 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.79 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 0.730 | 1.514 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 78 | 93 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.605 | 0.271 | 1.047 | 0.000 | 0.000 | 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 | 51 | 51 | 60 | 52 | 0 | 305 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 1.02 | 0.00 | 5.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.099 | 0.442 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 181 | 138 | 140 | 0 | 643 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.78 | 0.79 | 0.00 | 3.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.389 | 0.519 | 1.150 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 252 | 195 | 354 | 0 | 955 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.80 | 1.45 | 0.00 | 3.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.466 | 2.677 | 1.670 | 0.000 | 0.141 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 78 | 96 | 156 | 81 | 564 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.22 | 1.97 | 1.03 | 7.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 0.473 | 1.087 | 0.304 | 0.403 | 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 | 34 | 34 | 41 | 31 | 32 | 57 | 0 | 0 | 119 |
N.S. |
1 | 1.00 | 1.21 | 0.91 | 0.94 | 1.68 | 0.00 | 0.00 | 3.50 |
time (sec) |
N/A | 0.219 | 0.156 | 0.634 | 0.221 | 0.302 | 0.000 | 0.000 | 14.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 78 | 93 | 165 | 165 | 422 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.18 | 2.09 | 2.09 | 5.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 0.348 | 1.017 | 0.339 | 0.383 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 140 | 134 | 274 | 0 | 634 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.00 | 2.04 | 0.00 | 4.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.610 | 1.249 | 0.000 | 0.523 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 275 | 197 | 405 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.506 | 1.082 | 3.338 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 199 | 136 | 241 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.67 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 0.611 | 2.532 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 163 | 138 | 191 | 0 | 780 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.90 | 1.25 | 0.00 | 5.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.847 | 0.439 | 1.712 | 0.000 | 0.136 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 90 | 103 | 0 | 938 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.02 | 0.00 | 9.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.422 | 0.143 | 1.292 | 0.000 | 0.155 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 235 | 252 | 170 | 199 | 0 | 1075 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.72 | 0.85 | 0.00 | 4.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.490 | 1.029 | 2.275 | 0.000 | 0.170 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 151 | 133 | 243 | 283 | 885 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.97 | 1.77 | 2.07 | 6.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 0.874 | 1.453 | 0.374 | 0.753 | 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 | 81 | 84 | 64 | 64 | 121 | 137 | 0 | 0 | 176 |
N.S. |
1 | 1.04 | 0.79 | 0.79 | 1.49 | 1.69 | 0.00 | 0.00 | 2.17 |
time (sec) |
N/A | 0.266 | 0.402 | 0.618 | 0.298 | 0.412 | 0.000 | 0.000 | 20.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 72 | 60 | 55 | 63 | 134 | 0 | 0 | 159 |
N.S. |
1 | 0.99 | 0.82 | 0.75 | 0.86 | 1.84 | 0.00 | 0.00 | 2.18 |
time (sec) |
N/A | 0.228 | 0.221 | 0.662 | 0.290 | 0.380 | 0.000 | 0.000 | 20.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 139 | 127 | 249 | 306 | 752 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.98 | 1.93 | 2.37 | 5.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.324 | 0.538 | 1.357 | 0.414 | 0.558 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 285 | 288 | 192 | 698 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.67 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.521 | 1.656 | 3.976 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 267 | 182 | 623 | 0 | 1432 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.68 | 2.32 | 0.00 | 5.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.473 | 1.295 | 2.805 | 0.000 | 0.186 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 228 | 174 | 483 | 0 | 1400 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.79 | 2.19 | 0.00 | 6.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.188 | 1.168 | 2.735 | 0.000 | 0.203 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 228 | 172 | 547 | 0 | 1531 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.77 | 2.45 | 0.00 | 6.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.159 | 0.928 | 1.815 | 0.000 | 0.189 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 322 | 351 | 214 | 527 | 0 | 1719 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.66 | 1.64 | 0.00 | 5.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.617 | 1.772 | 3.700 | 0.000 | 0.225 | 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 | 122 | 122 | 113 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.320 | 0.646 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 220 | 218 | 98 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.377 | 0.585 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 130 | 98 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 0.411 | 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 | 74 | 74 | 74 | 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 | 0.232 | 0.215 | 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 | 83 | 83 | 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 | 0.249 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 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 | 0.258 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 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 | 0.252 | 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 | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 102 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 0.566 | 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 | 99 | 99 | 102 | 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 | 0.328 | 0.323 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 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 | 0.274 | 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(-1) | 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 | 0.274 | 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 | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 335 | 338 | 219 | 221 | 0 | 21338 | 0 | 0 | 1978 |
N.S. |
1 | 1.01 | 0.65 | 0.66 | 0.00 | 63.70 | 0.00 | 0.00 | 5.90 |
time (sec) |
N/A | 0.851 | 0.563 | 1.924 | 0.000 | 1.426 | 0.000 | 0.000 | 15.449 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 255 | 141 | 0 | 29175 | 0 | 0 | 1962 |
N.S. |
1 | 1.00 | 0.93 | 0.52 | 0.00 | 106.87 | 0.00 | 0.00 | 7.19 |
time (sec) |
N/A | 0.794 | 0.331 | 1.300 | 0.000 | 1.284 | 0.000 | 0.000 | 14.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | C | F | C | F(-1) | F | B |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 0 | 104 | 0 | 29221 | 0 | 0 | 1672 |
N.S. |
1 | 1.00 | 0.00 | 0.40 | 0.00 | 112.82 | 0.00 | 0.00 | 6.46 |
time (sec) |
N/A | 0.628 | 0.000 | 0.775 | 0.000 | 1.249 | 0.000 | 0.000 | 14.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 270 | 172 | 78 | 0 | 18879 | 0 | 0 | 652 |
N.S. |
1 | 1.01 | 0.64 | 0.29 | 0.00 | 70.71 | 0.00 | 0.00 | 2.44 |
time (sec) |
N/A | 0.538 | 11.047 | 0.797 | 0.000 | 1.321 | 0.000 | 0.000 | 15.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 264 | 96 | 0 | 29139 | 0 | 0 | 1439 |
N.S. |
1 | 1.00 | 1.00 | 0.36 | 0.00 | 110.38 | 0.00 | 0.00 | 5.45 |
time (sec) |
N/A | 0.689 | 0.502 | 1.039 | 0.000 | 3.768 | 0.000 | 0.000 | 15.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 287 | 181 | 136 | 0 | 29431 | 0 | 0 | 1573 |
N.S. |
1 | 1.00 | 0.63 | 0.47 | 0.00 | 102.55 | 0.00 | 0.00 | 5.48 |
time (sec) |
N/A | 0.620 | 0.401 | 1.488 | 0.000 | 14.834 | 0.000 | 0.000 | 15.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F(-2) | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 344 | 347 | 290 | 196 | 0 | 21564 | 0 | 0 | 1560 |
N.S. |
1 | 1.01 | 0.84 | 0.57 | 0.00 | 62.69 | 0.00 | 0.00 | 4.53 |
time (sec) |
N/A | 0.732 | 1.229 | 2.043 | 0.000 | 131.012 | 0.000 | 0.000 | 15.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 164 | 143 | 0 | 29350 | 0 | 0 | 1800 |
N.S. |
1 | 1.00 | 0.56 | 0.49 | 0.00 | 100.17 | 0.00 | 0.00 | 6.14 |
time (sec) |
N/A | 0.623 | 0.384 | 1.508 | 0.000 | 1.231 | 0.000 | 0.000 | 15.211 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 284 | 186 | 104 | 0 | 21185 | 0 | 0 | 665 |
N.S. |
1 | 1.01 | 0.66 | 0.37 | 0.00 | 75.39 | 0.00 | 0.00 | 2.37 |
time (sec) |
N/A | 0.638 | 0.241 | 1.056 | 0.000 | 1.328 | 0.000 | 0.000 | 15.324 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 231 | 76 | 0 | 25253 | 0 | 0 | 590 |
N.S. |
1 | 1.00 | 0.96 | 0.32 | 0.00 | 105.22 | 0.00 | 0.00 | 2.46 |
time (sec) |
N/A | 0.594 | 11.045 | 0.809 | 0.000 | 1.175 | 0.000 | 0.000 | 14.792 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | C | F | C | F | F | B |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 0 | 83 | 0 | 25429 | 0 | 0 | 609 |
N.S. |
1 | 1.00 | 0.00 | 0.34 | 0.00 | 103.79 | 0.00 | 0.00 | 2.49 |
time (sec) |
N/A | 0.506 | 0.000 | 0.699 | 0.000 | 1.216 | 0.000 | 0.000 | 15.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 284 | 196 | 114 | 0 | 21243 | 0 | 0 | 697 |
N.S. |
1 | 1.01 | 0.70 | 0.41 | 0.00 | 75.60 | 0.00 | 0.00 | 2.48 |
time (sec) |
N/A | 0.634 | 0.370 | 1.153 | 0.000 | 1.336 | 0.000 | 0.000 | 14.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F(-2) | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 296 | 296 | 333 | 162 | 0 | 29423 | 0 | 0 | 1503 |
N.S. |
1 | 1.00 | 1.12 | 0.55 | 0.00 | 99.40 | 0.00 | 0.00 | 5.08 |
time (sec) |
N/A | 0.715 | 1.455 | 1.480 | 0.000 | 4.046 | 0.000 | 0.000 | 16.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 168 | 228 | 137 | 0 | 872 | 0 | 0 | 1067 |
N.S. |
1 | 0.95 | 1.29 | 0.77 | 0.00 | 4.93 | 0.00 | 0.00 | 6.03 |
time (sec) |
N/A | 0.406 | 2.668 | 2.972 | 0.000 | 0.345 | 0.000 | 0.000 | 14.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 142 | 310 | 110 | 0 | 849 | 0 | 0 | 1119 |
N.S. |
1 | 0.96 | 2.09 | 0.74 | 0.00 | 5.74 | 0.00 | 0.00 | 7.56 |
time (sec) |
N/A | 0.342 | 1.298 | 1.717 | 0.000 | 0.335 | 0.000 | 0.000 | 13.796 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 135 | 198 | 99 | 0 | 815 | 0 | 0 | 1001 |
N.S. |
1 | 0.98 | 1.43 | 0.72 | 0.00 | 5.91 | 0.00 | 0.00 | 7.25 |
time (sec) |
N/A | 0.345 | 0.823 | 1.130 | 0.000 | 0.359 | 0.000 | 0.000 | 13.498 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 114 | 285 | 83 | 0 | 703 | 0 | 166 | 976 |
N.S. |
1 | 0.99 | 2.48 | 0.72 | 0.00 | 6.11 | 0.00 | 1.44 | 8.49 |
time (sec) |
N/A | 0.290 | 3.613 | 0.789 | 0.000 | 0.325 | 0.000 | 0.754 | 0.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 124 | 183 | 87 | 0 | 703 | 0 | 183 | 361 |
N.S. |
1 | 0.99 | 1.46 | 0.70 | 0.00 | 5.62 | 0.00 | 1.46 | 2.89 |
time (sec) |
N/A | 0.268 | 2.287 | 0.687 | 0.000 | 0.336 | 0.000 | 0.678 | 15.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 131 | 318 | 119 | 0 | 773 | 0 | 0 | 2031 |
N.S. |
1 | 0.96 | 2.34 | 0.88 | 0.00 | 5.68 | 0.00 | 0.00 | 14.93 |
time (sec) |
N/A | 0.335 | 0.691 | 0.942 | 0.000 | 0.368 | 0.000 | 0.000 | 15.637 |