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 | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 101 | 76 | 143 | 481 | 169 | 311 | 170 | 219 |
N.S. |
1 | 1.11 | 0.84 | 1.57 | 5.29 | 1.86 | 3.42 | 1.87 | 2.41 |
time (sec) |
N/A | 0.551 | 0.314 | 1.046 | 0.291 | 0.298 | 0.353 | 0.293 | 14.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 76 | 61 | 107 | 278 | 109 | 202 | 110 | 147 |
N.S. |
1 | 1.09 | 0.87 | 1.53 | 3.97 | 1.56 | 2.89 | 1.57 | 2.10 |
time (sec) |
N/A | 0.435 | 0.210 | 0.905 | 0.232 | 0.274 | 0.273 | 0.295 | 14.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 52 | 44 | 60 | 136 | 62 | 112 | 64 | 84 |
N.S. |
1 | 1.06 | 0.90 | 1.22 | 2.78 | 1.27 | 2.29 | 1.31 | 1.71 |
time (sec) |
N/A | 0.330 | 0.172 | 0.905 | 0.330 | 0.273 | 0.198 | 0.313 | 0.122 |
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 | 27 | 27 | 26 | 28 | 50 | 28 | 46 | 30 | 34 |
N.S. |
1 | 1.00 | 0.96 | 1.04 | 1.85 | 1.04 | 1.70 | 1.11 | 1.26 |
time (sec) |
N/A | 0.229 | 0.113 | 0.684 | 0.264 | 0.279 | 0.158 | 0.324 | 0.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 50 | 77 | 142 | 62 | 0 | 577 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.48 | 2.73 | 1.19 | 0.00 | 11.10 | 0.00 |
time (sec) |
N/A | 0.385 | 0.113 | 0.743 | 0.309 | 0.268 | 0.000 | 0.342 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 76 | 65 | 114 | 164 | 96 | 0 | 523 | 0 |
N.S. |
1 | 1.04 | 0.89 | 1.56 | 2.25 | 1.32 | 0.00 | 7.16 | 0.00 |
time (sec) |
N/A | 0.479 | 0.417 | 0.769 | 0.327 | 0.283 | 0.000 | 0.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 105 | 89 | 148 | 199 | 165 | 0 | 5518 | 0 |
N.S. |
1 | 1.01 | 0.86 | 1.42 | 1.91 | 1.59 | 0.00 | 53.06 | 0.00 |
time (sec) |
N/A | 0.593 | 0.668 | 0.908 | 0.435 | 0.294 | 0.000 | 0.484 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | B | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 134 | 144 | 184 | 249 | 235 | 0 | 8378 | 0 |
N.S. |
1 | 1.06 | 1.13 | 1.45 | 1.96 | 1.85 | 0.00 | 65.97 | 0.00 |
time (sec) |
N/A | 0.731 | 0.611 | 1.113 | 0.469 | 0.293 | 0.000 | 0.558 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 166 | 132 | 145 | 717 | 287 | 660 | 222 | 349 |
N.S. |
1 | 1.03 | 0.82 | 0.90 | 4.45 | 1.78 | 4.10 | 1.38 | 2.17 |
time (sec) |
N/A | 0.475 | 0.585 | 1.585 | 0.282 | 0.305 | 0.517 | 0.332 | 0.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 129 | 106 | 121 | 428 | 190 | 456 | 153 | 229 |
N.S. |
1 | 0.96 | 0.79 | 0.90 | 3.19 | 1.42 | 3.40 | 1.14 | 1.71 |
time (sec) |
N/A | 0.346 | 0.447 | 1.142 | 0.325 | 0.271 | 0.399 | 0.301 | 14.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 97 | 77 | 81 | 222 | 113 | 264 | 94 | 179 |
N.S. |
1 | 1.02 | 0.81 | 0.85 | 2.34 | 1.19 | 2.78 | 0.99 | 1.88 |
time (sec) |
N/A | 0.306 | 0.326 | 1.304 | 0.235 | 0.286 | 0.290 | 0.307 | 0.229 |
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 | 55 | 55 | 50 | 46 | 90 | 53 | 126 | 48 | 57 |
N.S. |
1 | 1.00 | 0.91 | 0.84 | 1.64 | 0.96 | 2.29 | 0.87 | 1.04 |
time (sec) |
N/A | 0.210 | 0.269 | 0.613 | 0.244 | 0.281 | 0.217 | 0.292 | 0.103 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 65 | 107 | 163 | 71 | 0 | 610 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.37 | 2.09 | 0.91 | 0.00 | 7.82 | 0.00 |
time (sec) |
N/A | 0.347 | 0.264 | 0.738 | 0.357 | 0.281 | 0.000 | 0.352 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 86 | 75 | 155 | 171 | 100 | 0 | 534 | 0 |
N.S. |
1 | 1.04 | 0.90 | 1.87 | 2.06 | 1.20 | 0.00 | 6.43 | 0.00 |
time (sec) |
N/A | 0.512 | 0.654 | 0.822 | 0.350 | 0.270 | 0.000 | 0.356 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 146 | 102 | 193 | 204 | 176 | 0 | 5136 | 0 |
N.S. |
1 | 1.30 | 0.91 | 1.72 | 1.82 | 1.57 | 0.00 | 45.86 | 0.00 |
time (sec) |
N/A | 0.489 | 1.037 | 1.037 | 0.443 | 0.297 | 0.000 | 0.499 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 304 | 385 | 173 | 925 | 350 | 772 | 351 | 532 |
N.S. |
1 | 1.35 | 1.71 | 0.77 | 4.11 | 1.56 | 3.43 | 1.56 | 2.36 |
time (sec) |
N/A | 1.837 | 1.032 | 1.961 | 0.330 | 0.287 | 0.733 | 0.324 | 15.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 216 | 121 | 224 | 535 | 227 | 495 | 231 | 364 |
N.S. |
1 | 1.23 | 0.69 | 1.28 | 3.06 | 1.30 | 2.83 | 1.32 | 2.08 |
time (sec) |
N/A | 1.104 | 0.996 | 1.674 | 0.282 | 0.298 | 0.494 | 0.311 | 14.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 137 | 93 | 128 | 267 | 128 | 284 | 137 | 173 |
N.S. |
1 | 1.11 | 0.76 | 1.04 | 2.17 | 1.04 | 2.31 | 1.11 | 1.41 |
time (sec) |
N/A | 0.607 | 0.634 | 1.637 | 0.255 | 0.282 | 0.382 | 0.309 | 14.472 |
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 | 75 | 74 | 52 | 61 | 103 | 60 | 126 | 69 | 77 |
N.S. |
1 | 0.99 | 0.69 | 0.81 | 1.37 | 0.80 | 1.68 | 0.92 | 1.03 |
time (sec) |
N/A | 0.344 | 0.227 | 1.259 | 0.279 | 0.268 | 0.265 | 0.299 | 14.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 103 | 171 | 278 | 123 | 0 | 6075 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.41 | 2.30 | 1.02 | 0.00 | 50.21 | 0.00 |
time (sec) |
N/A | 0.450 | 0.409 | 0.820 | 0.374 | 0.309 | 0.000 | 0.554 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 148 | 200 | 247 | 304 | 177 | 0 | 1000 | 0 |
N.S. |
1 | 1.02 | 1.38 | 1.70 | 2.10 | 1.22 | 0.00 | 6.90 | 0.00 |
time (sec) |
N/A | 0.438 | 0.744 | 0.982 | 0.471 | 0.318 | 0.000 | 0.440 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 243 | 221 | 316 | 339 | 289 | 0 | 115446 | 0 |
N.S. |
1 | 1.32 | 1.20 | 1.72 | 1.84 | 1.57 | 0.00 | 627.42 | 0.00 |
time (sec) |
N/A | 0.962 | 0.913 | 1.442 | 0.637 | 0.293 | 0.000 | 3.420 | 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 | 172 | 237 | 100 | 102 | 303 | 115 | 253 | 108 | 138 |
N.S. |
1 | 1.38 | 0.58 | 0.59 | 1.76 | 0.67 | 1.47 | 0.63 | 0.80 |
time (sec) |
N/A | 0.750 | 0.457 | 1.689 | 0.289 | 0.288 | 0.601 | 0.354 | 0.908 |
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 | 134 | 181 | 92 | 81 | 188 | 88 | 209 | 84 | 104 |
N.S. |
1 | 1.35 | 0.69 | 0.60 | 1.40 | 0.66 | 1.56 | 0.63 | 0.78 |
time (sec) |
N/A | 0.615 | 0.197 | 1.300 | 0.248 | 0.290 | 0.414 | 0.398 | 14.456 |
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 | 80 | 85 | 53 | 62 | 98 | 63 | 138 | 64 | 63 |
N.S. |
1 | 1.06 | 0.66 | 0.78 | 1.22 | 0.79 | 1.72 | 0.80 | 0.79 |
time (sec) |
N/A | 0.287 | 0.135 | 1.182 | 0.252 | 0.282 | 0.321 | 0.412 | 14.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 52 | 52 | 91 | 49 | 60 | 428 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.88 | 1.54 | 0.83 | 1.02 | 7.25 | 0.00 |
time (sec) |
N/A | 0.316 | 0.158 | 0.673 | 0.331 | 0.288 | 1.098 | 0.433 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 70 | 79 | 90 | 717 | 66 | 0 | 3220 | 0 |
N.S. |
1 | 1.06 | 1.20 | 1.36 | 10.86 | 1.00 | 0.00 | 48.79 | 0.00 |
time (sec) |
N/A | 0.311 | 0.230 | 0.744 | 0.316 | 0.303 | 0.000 | 0.377 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 138 | 119 | 124 | 790 | 100 | 0 | 3920 | 0 |
N.S. |
1 | 1.53 | 1.32 | 1.38 | 8.78 | 1.11 | 0.00 | 43.56 | 0.00 |
time (sec) |
N/A | 0.493 | 0.342 | 0.721 | 0.359 | 0.290 | 0.000 | 0.489 | 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 | 205 | 223 | 196 | 685 | 722 | 970 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.96 | 3.34 | 3.52 | 4.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.724 | 0.198 | 1.732 | 0.483 | 0.331 | 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 | 137 | 145 | 130 | 392 | 402 | 598 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.95 | 2.86 | 2.93 | 4.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 0.101 | 1.468 | 0.420 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 87 | 128 | 0 | 306 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 1.71 | 0.00 | 4.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 0.010 | 0.981 | 0.000 | 0.294 | 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 | 18 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 1.14 | 1.14 | 0.86 | 1.14 | 1.29 |
time (sec) |
N/A | 0.194 | 4.359 | 0.528 | 0.577 | 0.289 | 0.379 | 0.499 | 13.675 |
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 | 114 | 137 | 109 | 316 | 1059 | 790 | 0 | 0 | 0 |
N.S. |
1 | 1.20 | 0.96 | 2.77 | 9.29 | 6.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.656 | 0.529 | 2.141 | 0.427 | 0.322 | 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 | 82 | 97 | 75 | 170 | 324 | 450 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.91 | 2.07 | 3.95 | 5.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 0.264 | 1.878 | 0.487 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 36 | 52 | 159 | 45 | 0 | 1404 | 55 |
N.S. |
1 | 1.00 | 1.29 | 1.86 | 5.68 | 1.61 | 0.00 | 50.14 | 1.96 |
time (sec) |
N/A | 0.250 | 0.017 | 1.204 | 0.352 | 0.305 | 0.000 | 0.642 | 14.505 |
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 | 290 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 18.12 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.209 | 6.061 | 0.534 | 0.547 | 0.293 | 0.409 | 0.381 | 13.698 |
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 | 337 | 358 | 311 | 1127 | 3831 | 1315 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.92 | 3.34 | 11.37 | 3.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.222 | 3.050 | 1.946 | 1.558 | 0.365 | 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 | 193 | 207 | 184 | 584 | 1891 | 795 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.95 | 3.03 | 9.80 | 4.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.754 | 1.011 | 1.780 | 0.658 | 0.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 118 | 389 | 267 | 0 | 435 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 3.32 | 2.28 | 0.00 | 3.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.405 | 4.174 | 1.382 | 0.000 | 0.347 | 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 | 290 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 18.12 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.205 | 1.726 | 0.023 | 0.579 | 0.322 | 0.403 | 0.309 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 202 | 124 | 232 | 263 | 190 | 0 | 1246 | 0 |
N.S. |
1 | 1.04 | 0.64 | 1.20 | 1.36 | 0.98 | 0.00 | 6.42 | 0.00 |
time (sec) |
N/A | 0.987 | 0.063 | 0.797 | 0.293 | 0.297 | 0.000 | 0.390 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 175 | 122 | 189 | 242 | 156 | 0 | 779 | 0 |
N.S. |
1 | 1.04 | 0.72 | 1.12 | 1.43 | 0.92 | 0.00 | 4.61 | 0.00 |
time (sec) |
N/A | 0.812 | 0.094 | 0.931 | 0.264 | 0.298 | 0.000 | 0.357 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 145 | 122 | 144 | 196 | 126 | 0 | 426 | 0 |
N.S. |
1 | 1.02 | 0.86 | 1.01 | 1.38 | 0.89 | 0.00 | 3.00 | 0.00 |
time (sec) |
N/A | 0.663 | 0.044 | 0.701 | 0.240 | 0.273 | 0.000 | 0.340 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 124 | 100 | 159 | 108 | 0 | 168 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.85 | 1.35 | 0.92 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.513 | 0.061 | 0.688 | 0.294 | 0.259 | 0.000 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 144 | 147 | 140 | 129 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.06 | 1.01 | 0.93 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.642 | 0.344 | 0.744 | 0.506 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 176 | 190 | 180 | 129 | 208 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.13 | 1.07 | 0.77 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.793 | 0.355 | 0.829 | 0.515 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 206 | 228 | 220 | 129 | 296 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.18 | 1.14 | 0.67 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.955 | 0.386 | 0.798 | 0.455 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 238 | 150 | 242 | 295 | 258 | 0 | 1331 | 0 |
N.S. |
1 | 1.03 | 0.65 | 1.05 | 1.28 | 1.12 | 0.00 | 5.76 | 0.00 |
time (sec) |
N/A | 0.687 | 0.851 | 1.112 | 0.369 | 0.294 | 0.000 | 0.567 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 210 | 150 | 197 | 274 | 195 | 0 | 821 | 0 |
N.S. |
1 | 1.03 | 0.74 | 0.97 | 1.35 | 0.96 | 0.00 | 4.04 | 0.00 |
time (sec) |
N/A | 0.600 | 0.643 | 0.961 | 0.386 | 0.301 | 0.000 | 0.472 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 150 | 150 | 229 | 148 | 0 | 436 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.95 | 1.45 | 0.94 | 0.00 | 2.76 | 0.00 |
time (sec) |
N/A | 0.471 | 0.248 | 1.041 | 0.444 | 0.310 | 0.000 | 0.395 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 145 | 108 | 187 | 114 | 0 | 167 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.83 | 1.44 | 0.88 | 0.00 | 1.28 | 0.00 |
time (sec) |
N/A | 0.399 | 0.250 | 0.913 | 0.371 | 0.286 | 0.000 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 140 | 175 | 146 | 135 | 136 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.30 | 1.08 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.692 | 0.729 | 1.133 | 0.537 | 0.325 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 213 | 181 | 189 | 136 | 206 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 1.06 | 1.11 | 0.80 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.566 | 1.458 | 1.073 | 0.481 | 0.335 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 223 | 237 | 230 | 136 | 323 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.10 | 1.06 | 0.63 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.950 | 1.150 | 1.096 | 0.506 | 0.319 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 296 | 237 | 273 | 136 | 417 | 0 | 0 | 0 |
N.S. |
1 | 1.20 | 0.96 | 1.11 | 0.55 | 1.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.795 | 0.904 | 1.107 | 0.504 | 0.332 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 410 | 576 | 236 | 474 | 547 | 368 | 0 | 2480 | 0 |
N.S. |
1 | 1.40 | 0.58 | 1.16 | 1.33 | 0.90 | 0.00 | 6.05 | 0.00 |
time (sec) |
N/A | 2.632 | 1.499 | 1.994 | 0.454 | 0.317 | 0.000 | 0.827 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 354 | 502 | 251 | 386 | 497 | 299 | 0 | 1549 | 0 |
N.S. |
1 | 1.42 | 0.71 | 1.09 | 1.40 | 0.84 | 0.00 | 4.38 | 0.00 |
time (sec) |
N/A | 2.174 | 1.100 | 0.938 | 0.399 | 0.295 | 0.000 | 0.612 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 304 | 304 | 234 | 294 | 424 | 245 | 0 | 848 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.97 | 1.39 | 0.81 | 0.00 | 2.79 | 0.00 |
time (sec) |
N/A | 0.827 | 0.298 | 0.940 | 0.366 | 0.342 | 0.000 | 0.467 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 236 | 212 | 377 | 213 | 0 | 332 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.82 | 1.47 | 0.83 | 0.00 | 1.29 | 0.00 |
time (sec) |
N/A | 0.653 | 0.356 | 1.040 | 0.344 | 0.317 | 0.000 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 286 | 293 | 286 | 253 | 265 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.08 | 1.06 | 0.93 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.676 | 1.488 | 0.987 | 0.591 | 0.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 292 | 445 | 268 | 368 | 253 | 367 | 0 | 0 | 0 |
N.S. |
1 | 1.52 | 0.92 | 1.26 | 0.87 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.550 | 2.080 | 0.825 | 0.585 | 0.332 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 356 | 506 | 448 | 450 | 254 | 528 | 0 | 0 | 0 |
N.S. |
1 | 1.42 | 1.26 | 1.26 | 0.71 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.774 | 2.082 | 0.921 | 0.601 | 0.348 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | A | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 55 | 34 | 74 | 35 | 83 | 69 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.69 | 1.51 | 0.71 | 1.69 | 1.41 | 0.00 |
time (sec) |
N/A | 0.331 | 0.016 | 0.365 | 0.337 | 0.268 | 3.008 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 48 | 27 | 67 | 26 | 61 | 53 | 26 |
N.S. |
1 | 1.00 | 1.33 | 0.75 | 1.86 | 0.72 | 1.69 | 1.47 | 0.72 |
time (sec) |
N/A | 0.256 | 0.009 | 0.302 | 0.316 | 0.310 | 0.555 | 0.286 | 0.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 51 | 19 | 60 | 18 | 37 | 35 | 18 |
N.S. |
1 | 1.00 | 2.12 | 0.79 | 2.50 | 0.75 | 1.54 | 1.46 | 0.75 |
time (sec) |
N/A | 0.202 | 0.009 | 0.304 | 0.333 | 0.265 | 0.479 | 0.300 | 0.037 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 63 | 28 | 21 | 31 | 61 | 0 | 0 |
N.S. |
1 | 1.00 | 1.80 | 0.80 | 0.60 | 0.89 | 1.74 | 0.00 | 0.00 |
time (sec) |
N/A | 0.259 | 0.051 | 0.292 | 0.428 | 0.268 | 1.059 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 183 | 192 | 122 | 0 | 235 | 174 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.67 | 0.00 | 1.28 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.571 | 0.114 | 0.000 | 0.248 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 152 | 159 | 122 | 0 | 186 | 140 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.80 | 0.00 | 1.22 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.430 | 0.049 | 0.000 | 0.262 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 152 | 159 | 122 | 0 | 186 | 140 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.80 | 0.00 | 1.22 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 0.053 | 0.000 | 0.253 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 124 | 0 | 137 | 118 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 1.01 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.311 | 0.063 | 0.000 | 0.253 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 124 | 0 | 138 | 118 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 1.02 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.326 | 0.066 | 0.000 | 0.242 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 151 | 158 | 121 | 0 | 138 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.80 | 0.00 | 0.91 | 1.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.416 | 0.055 | 0.000 | 0.273 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 153 | 162 | 121 | 0 | 138 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.79 | 0.00 | 0.90 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.429 | 0.056 | 0.000 | 0.285 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 182 | 193 | 125 | 0 | 137 | 259 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.69 | 0.00 | 0.75 | 1.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.534 | 0.053 | 0.000 | 0.240 | 0.135 | 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 | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 10 | 12 | 0 | 12 | 12 | 12 |
N.S. |
1 | 1.00 | 1.17 | 0.83 | 1.00 | 0.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.174 | 26.255 | 0.119 | 0.701 | 0.000 | 6.357 | 0.329 | 13.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 133 | 0 | 57 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 1.00 | 8.31 | 0.00 | 3.56 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.165 | 0.009 | 1.268 | 0.000 | 0.096 | 0.000 | 0.000 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 12 | 14 | 0 | 12 | 14 | 14 |
N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 0.86 | 1.00 | 1.00 |
time (sec) |
N/A | 0.182 | 0.808 | 0.151 | 0.574 | 0.000 | 2.994 | 0.344 | 13.504 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 10 | 12 | 0 | 12 | 12 | 12 |
N.S. |
1 | 1.00 | 1.17 | 0.83 | 1.00 | 0.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.264 | 2.291 | 0.131 | 0.696 | 0.000 | 87.663 | 0.368 | 13.726 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 36 | 179 | 0 | 68 | 0 | 0 | 35 |
N.S. |
1 | 1.00 | 0.86 | 4.26 | 0.00 | 1.62 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.223 | 0.029 | 2.096 | 0.000 | 0.099 | 0.000 | 0.000 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 12 | 14 | 0 | 12 | 14 | 14 |
N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 0.86 | 1.00 | 1.00 |
time (sec) |
N/A | 0.190 | 7.418 | 0.146 | 0.599 | 0.000 | 37.920 | 0.328 | 13.556 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 40 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 1.020 | 0.000 | 0.000 | 0.000 | 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 | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 8 | 10 | 0 | 10 | 10 | 10 |
N.S. |
1 | 1.00 | 1.20 | 0.80 | 1.00 | 0.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.293 | 6.110 | 0.195 | 0.414 | 0.000 | 92.969 | 0.323 | 13.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 10 | 12 | 0 | 12 | 12 | 12 |
N.S. |
1 | 1.00 | 1.17 | 0.83 | 1.00 | 0.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.181 | 0.278 | 0.178 | 0.644 | 0.000 | 3.071 | 0.345 | 13.326 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 18 | 0 | 51 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 1.00 | 1.12 | 0.00 | 3.19 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.164 | 0.009 | 0.249 | 0.000 | 0.085 | 0.000 | 0.000 | 13.172 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 12 | 14 | 0 | 14 | 14 | 14 |
N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.186 | 0.453 | 0.118 | 0.577 | 0.000 | 10.382 | 0.326 | 13.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 10 | 12 | 0 | 12 | 12 | 12 |
N.S. |
1 | 1.00 | 1.17 | 0.83 | 1.00 | 0.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.267 | 2.672 | 0.130 | 0.662 | 0.000 | 14.099 | 0.357 | 13.610 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 182 | 0 | 93 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 1.00 | 4.79 | 0.00 | 2.45 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.224 | 0.051 | 1.507 | 0.000 | 0.091 | 0.000 | 0.000 | 13.781 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | F(-2) | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 12 | 14 | 0 | 14 | 14 | 14 |
N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.182 | 10.729 | 0.130 | 0.630 | 0.000 | 36.925 | 0.352 | 13.676 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 33 | 0 | 0 | 0 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.190 | 1.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 13.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 17 | 0 | 0 | 0 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.75 |
time (sec) |
N/A | 0.179 | 0.132 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 13.152 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 17 | 0 | 0 | 15 | 0 | 0 | 16 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.62 | 0.00 | 0.00 | 0.67 |
time (sec) |
N/A | 0.177 | 0.111 | 0.000 | 0.000 | 0.277 | 0.000 | 0.000 | 0.147 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | F(-1) | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 33 | 0 | 0 | 0 | 0 | 0 | 31 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.66 |
time (sec) |
N/A | 0.205 | 0.184 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 13.756 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 29 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.223 | 0.196 | 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(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 17 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.091 | 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(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 17 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 0.270 | 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(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 45 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.238 | 0.134 | 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(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 0.101 | 0.000 | 0.000 | 0.000 | 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 | 18 | 18 | 20 | 18 | 20 | 20 | 17 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.11 | 1.11 | 0.94 | 1.11 | 1.11 |
time (sec) |
N/A | 0.214 | 1.111 | 0.345 | 0.672 | 0.260 | 8.741 | 1.195 | 14.057 |
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 | 275 | 275 | 253 | 0 | 0 | 188 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.540 | 0.188 | 0.000 | 0.000 | 0.124 | 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 | 162 | 162 | 150 | 0 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.417 | 0.215 | 0.000 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |