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 | B | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 109 | 303 | 99 | 222 | 0 | 322 | 0 |
N.S. |
1 | 1.00 | 0.83 | 2.31 | 0.76 | 1.69 | 0.00 | 2.46 | 0.00 |
time (sec) |
N/A | 0.185 | 0.605 | 1.074 | 0.253 | 0.260 | 0.000 | 0.267 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 220 | 191 | 525 | 596 | 1134 | 580 | 393 |
N.S. |
1 | 1.00 | 0.90 | 0.78 | 2.14 | 2.43 | 4.63 | 2.37 | 1.60 |
time (sec) |
N/A | 0.215 | 0.937 | 1.191 | 0.233 | 0.259 | 0.617 | 0.288 | 1.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 189 | 141 | 326 | 351 | 694 | 333 | 217 |
N.S. |
1 | 1.00 | 1.09 | 0.81 | 1.87 | 2.02 | 3.99 | 1.91 | 1.25 |
time (sec) |
N/A | 0.154 | 0.523 | 1.029 | 0.194 | 0.261 | 0.454 | 0.272 | 1.491 |
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 | 122 | 122 | 86 | 84 | 167 | 164 | 357 | 155 | 104 |
N.S. |
1 | 1.00 | 0.70 | 0.69 | 1.37 | 1.34 | 2.93 | 1.27 | 0.85 |
time (sec) |
N/A | 0.077 | 12.522 | 0.812 | 0.198 | 0.250 | 0.322 | 0.267 | 0.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 117 | 193 | 150 | 149 | 0 | 135 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.30 | 1.01 | 1.00 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.270 | 0.770 | 2.357 | 0.249 | 0.253 | 0.000 | 0.272 | 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 | 170 | 170 | 214 | 313 | 183 | 266 | 0 | 1134 | 0 |
N.S. |
1 | 1.00 | 1.26 | 1.84 | 1.08 | 1.56 | 0.00 | 6.67 | 0.00 |
time (sec) |
N/A | 0.259 | 0.804 | 2.410 | 0.251 | 0.248 | 0.000 | 0.335 | 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 | 236 | 236 | 198 | 625 | 205 | 454 | 0 | 682 | 0 |
N.S. |
1 | 1.00 | 0.84 | 2.65 | 0.87 | 1.92 | 0.00 | 2.89 | 0.00 |
time (sec) |
N/A | 0.396 | 2.062 | 2.530 | 0.263 | 0.262 | 0.000 | 0.270 | 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 | 132 | 132 | 206 | 435 | 238 | 364 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.56 | 3.30 | 1.80 | 2.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.221 | 0.994 | 1.445 | 0.309 | 0.254 | 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 | 101 | 101 | 152 | 227 | 0 | 201 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.50 | 2.25 | 0.00 | 1.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.152 | 0.723 | 1.338 | 0.000 | 0.236 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 185 | 66 | 75 | 60 | 56 | 67 | 56 |
N.S. |
1 | 1.00 | 2.94 | 1.05 | 1.19 | 0.95 | 0.89 | 1.06 | 0.89 |
time (sec) |
N/A | 0.056 | 0.378 | 1.526 | 0.181 | 0.237 | 0.111 | 0.267 | 1.091 |
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 | 23 | 23 | 25 | 21 | 102 | 126 | 117 | 23 | 24 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 4.43 | 5.48 | 5.09 | 1.00 | 1.04 |
time (sec) |
N/A | 0.046 | 26.868 | 0.343 | 0.298 | 0.249 | 3.311 | 0.268 | 0.942 |
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 | 23 | 23 | 25 | 21 | 158 | 204 | 187 | 23 | 24 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 6.87 | 8.87 | 8.13 | 1.00 | 1.04 |
time (sec) |
N/A | 0.044 | 26.722 | 0.342 | 0.333 | 0.257 | 10.174 | 0.317 | 0.995 |
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 | 305 | 305 | 473 | 723 | 635 | 917 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.55 | 2.37 | 2.08 | 3.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 2.885 | 1.941 | 0.377 | 0.263 | 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 | 241 | 241 | 269 | 374 | 0 | 482 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 1.55 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 1.688 | 1.411 | 0.000 | 0.237 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 241 | 113 | 255 | 160 | 167 | 195 | 160 |
N.S. |
1 | 1.00 | 1.53 | 0.72 | 1.61 | 1.01 | 1.06 | 1.23 | 1.01 |
time (sec) |
N/A | 0.083 | 1.282 | 1.205 | 0.209 | 0.245 | 0.217 | 0.272 | 1.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 606 | 793 | 0 | 23 | 24 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 26.35 | 34.48 | 0.00 | 1.00 | 1.04 |
time (sec) |
N/A | 0.043 | 25.917 | 0.509 | 0.527 | 0.259 | 0.000 | 0.286 | 1.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 723 | 965 | 0 | 23 | 24 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 31.43 | 41.96 | 0.00 | 1.00 | 1.04 |
time (sec) |
N/A | 0.040 | 26.605 | 0.501 | 0.725 | 0.257 | 0.000 | 0.390 | 1.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 141 | 174 | 0 | 0 | 0 | 0 | 149 |
N.S. |
1 | 1.00 | 0.78 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.156 | 0.266 | 0.901 | 0.000 | 0.000 | 0.000 | 0.000 | 0.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 125 | 151 | 0 | 0 | 0 | 0 | 126 |
N.S. |
1 | 1.00 | 0.92 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.126 | 2.143 | 0.546 | 0.000 | 0.000 | 0.000 | 0.000 | 1.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 105 | 128 | 0 | 0 | 0 | 0 | 92 |
N.S. |
1 | 1.00 | 0.95 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.111 | 0.764 | 0.467 | 0.000 | 0.000 | 0.000 | 0.000 | 1.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 87 | 105 | 0 | 0 | 0 | 0 | 80 |
N.S. |
1 | 1.00 | 1.32 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.059 | 0.361 | 0.483 | 0.000 | 0.000 | 0.000 | 0.000 | 1.058 |
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 | 125 | 125 | 96 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.111 | 0.312 | 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 | 149 | 149 | 133 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.131 | 0.479 | 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 | 204 | 204 | 170 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.156 | 0.587 | 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 | 377 | 377 | 269 | 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 | 0.263 | 7.661 | 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 | 303 | 303 | 173 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 7.465 | 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 | 185 | 185 | 138 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.104 | 3.405 | 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 | 261 | 261 | 146 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 1.721 | 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 | 302 | 302 | 243 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 2.023 | 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 | B | F | F | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 638 | 638 | 2918 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 15.617 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 506 | 506 | 300 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 9.753 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 312 | 312 | 218 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.143 | 9.433 | 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 | 403 | 403 | 242 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.311 | 4.701 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 444 | 444 | 347 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 5.362 | 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 | B | F | F | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 536 | 536 | 4751 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.458 | 10.656 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 493 | 493 | 331 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.811 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 349 | 349 | 276 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 0.604 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 178 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.082 | 0.448 | 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 | 21 | 21 | 23 | 17 | 19 | 40 | 19 | 19 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.81 | 0.90 | 1.90 | 0.90 | 0.90 | 0.95 |
time (sec) |
N/A | 0.063 | 3.740 | 0.175 | 0.336 | 0.245 | 2.573 | 0.425 | 1.116 |
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 | 21 | 21 | 23 | 17 | 19 | 44 | 20 | 19 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.81 | 0.90 | 2.10 | 0.95 | 0.90 | 0.95 |
time (sec) |
N/A | 0.053 | 3.883 | 0.175 | 0.340 | 0.252 | 4.811 | 0.433 | 1.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 807 | 807 | 546 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.333 | 2.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 506 | 506 | 384 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.234 | 1.162 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 288 | 288 | 258 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.123 | 0.766 | 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 | 21 | 21 | 23 | 17 | 19 | 209 | 19 | 19 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.81 | 0.90 | 9.95 | 0.90 | 0.90 | 0.95 |
time (sec) |
N/A | 0.059 | 21.864 | 0.180 | 0.351 | 0.244 | 28.433 | 0.455 | 1.665 |
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 | 21 | 21 | 23 | 17 | 19 | 209 | 20 | 19 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.81 | 0.90 | 9.95 | 0.95 | 0.90 | 0.95 |
time (sec) |
N/A | 0.057 | 23.838 | 0.178 | 0.357 | 0.253 | 52.714 | 0.445 | 1.649 |
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 | 1016 | 1016 | 1200 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.479 | 2.993 | 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 | 689 | 689 | 482 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.313 | 1.477 | 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 | 416 | 416 | 337 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 1.056 | 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 | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 17 | 19 | 396 | 0 | 19 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.81 | 0.90 | 18.86 | 0.00 | 0.90 | 0.95 |
time (sec) |
N/A | 0.060 | 36.544 | 0.193 | 0.354 | 0.251 | 0.000 | 0.490 | 2.069 |
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 | 21 | 21 | 23 | 17 | 19 | 0 | 17 | 19 | 20 |
N.S. |
1 | 1.00 | 1.10 | 0.81 | 0.90 | 0.00 | 0.81 | 0.90 | 0.95 |
time (sec) |
N/A | 0.048 | 4.245 | 0.168 | 0.354 | 0.000 | 2.278 | 0.361 | 0.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 23 | 48 | 0 | 23 | 24 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 1.00 | 2.09 | 0.00 | 1.00 | 1.04 |
time (sec) |
N/A | 0.034 | 3.029 | 0.391 | 0.352 | 0.266 | 0.000 | 0.362 | 1.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 410 | 410 | 410 | 0 | 375 | 374 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.91 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.422 | 1.044 | 0.000 | 0.144 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 229 | 0 | 210 | 259 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.78 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.250 | 0.525 | 0.000 | 0.090 | 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(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 207 | 0 | 101 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.53 | 0.00 | 0.75 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.105 | 0.385 | 0.000 | 0.072 | 0.087 | 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 | 23 | 23 | 25 | 21 | 23 | 86 | 20 | 23 | 24 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 1.00 | 3.74 | 0.87 | 1.00 | 1.04 |
time (sec) |
N/A | 0.039 | 3.559 | 0.305 | 0.289 | 0.264 | 11.915 | 0.272 | 0.967 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 25 | 21 | 23 | 696 | 0 | 23 | 24 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 1.00 | 30.26 | 0.00 | 1.00 | 1.04 |
time (sec) |
N/A | 0.040 | 13.664 | 0.556 | 0.310 | 0.254 | 0.000 | 0.285 | 1.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 123 | 110 | 234 | 168 | 264 | 258 | 187 |
N.S. |
1 | 1.00 | 1.38 | 1.24 | 2.63 | 1.89 | 2.97 | 2.90 | 2.10 |
time (sec) |
N/A | 0.098 | 0.260 | 1.238 | 0.196 | 0.248 | 0.295 | 0.269 | 0.204 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 83 | 83 | 139 | 102 | 151 | 146 | 110 |
N.S. |
1 | 1.00 | 1.24 | 1.24 | 2.07 | 1.52 | 2.25 | 2.18 | 1.64 |
time (sec) |
N/A | 0.067 | 0.189 | 1.279 | 0.195 | 0.244 | 0.216 | 0.284 | 0.117 |
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 | 45 | 45 | 43 | 46 | 65 | 51 | 68 | 64 | 49 |
N.S. |
1 | 1.00 | 0.96 | 1.02 | 1.44 | 1.13 | 1.51 | 1.42 | 1.09 |
time (sec) |
N/A | 0.032 | 0.127 | 0.968 | 0.195 | 0.234 | 0.169 | 0.292 | 0.822 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 57 | 94 | 71 | 111 | 0 | 68 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.47 | 1.11 | 1.73 | 0.00 | 1.06 | 0.00 |
time (sec) |
N/A | 0.095 | 0.102 | 1.006 | 0.224 | 0.248 | 0.000 | 0.278 | 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 | 87 | 87 | 71 | 149 | 88 | 162 | 0 | 630 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.71 | 1.01 | 1.86 | 0.00 | 7.24 | 0.00 |
time (sec) |
N/A | 0.110 | 0.272 | 1.097 | 0.232 | 0.245 | 0.000 | 0.309 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 95 | 296 | 99 | 274 | 0 | 319 | 0 |
N.S. |
1 | 1.00 | 0.77 | 2.41 | 0.80 | 2.23 | 0.00 | 2.59 | 0.00 |
time (sec) |
N/A | 0.153 | 0.408 | 1.079 | 0.232 | 0.251 | 0.000 | 0.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 235 | 213 | 520 | 418 | 779 | 598 | 481 |
N.S. |
1 | 1.00 | 0.94 | 0.85 | 2.08 | 1.67 | 3.12 | 2.39 | 1.92 |
time (sec) |
N/A | 0.194 | 0.692 | 1.482 | 0.220 | 0.256 | 0.427 | 0.289 | 2.613 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 249 | 157 | 322 | 247 | 456 | 344 | 281 |
N.S. |
1 | 1.00 | 1.37 | 0.86 | 1.77 | 1.36 | 2.51 | 1.89 | 1.54 |
time (sec) |
N/A | 0.133 | 0.416 | 1.354 | 0.204 | 0.249 | 0.328 | 0.273 | 1.295 |
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 | 116 | 116 | 98 | 111 | 164 | 128 | 219 | 159 | 135 |
N.S. |
1 | 1.00 | 0.84 | 0.96 | 1.41 | 1.10 | 1.89 | 1.37 | 1.16 |
time (sec) |
N/A | 0.071 | 4.399 | 1.053 | 0.195 | 0.245 | 0.226 | 0.285 | 0.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 134 | 201 | 148 | 232 | 0 | 144 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.29 | 0.95 | 1.49 | 0.00 | 0.92 | 0.00 |
time (sec) |
N/A | 0.225 | 0.223 | 4.197 | 0.243 | 0.259 | 0.000 | 0.270 | 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 | 183 | 183 | 232 | 319 | 181 | 357 | 0 | 1135 | 0 |
N.S. |
1 | 1.00 | 1.27 | 1.74 | 0.99 | 1.95 | 0.00 | 6.20 | 0.00 |
time (sec) |
N/A | 0.238 | 0.444 | 4.282 | 0.249 | 0.258 | 0.000 | 0.354 | 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 | 242 | 242 | 395 | 626 | 203 | 590 | 0 | 678 | 0 |
N.S. |
1 | 1.00 | 1.63 | 2.59 | 0.84 | 2.44 | 0.00 | 2.80 | 0.00 |
time (sec) |
N/A | 0.302 | 0.615 | 4.362 | 0.257 | 0.249 | 0.000 | 0.280 | 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 | 404 | 404 | 318 | 0 | 0 | 1004 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 2.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.565 | 0.184 | 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 | 296 | 296 | 233 | 0 | 0 | 708 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 2.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.478 | 0.093 | 0.000 | 0.000 | 0.263 | 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 | 187 | 187 | 142 | 393 | 0 | 455 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.10 | 0.00 | 2.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 0.028 | 1.281 | 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 | 20 | 20 | 22 | 20 | 22 | 27 | 17 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.35 | 0.85 | 1.10 | 1.10 |
time (sec) |
N/A | 0.041 | 0.892 | 0.518 | 0.308 | 0.246 | 10.270 | 0.286 | 0.877 |
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 | 20 | 22 | 51 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 2.55 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.038 | 0.830 | 0.575 | 0.365 | 0.236 | 59.085 | 0.468 | 0.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 549 | 549 | 428 | 0 | 0 | 3957 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 7.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.703 | 1.043 | 0.000 | 0.000 | 0.329 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 194 | 519 | 0 | 1717 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.04 | 0.00 | 6.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.313 | 0.617 | 1.527 | 0.000 | 0.274 | 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 | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 406 | 55 | 0 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 20.30 | 2.75 | 0.00 | 1.10 | 1.10 |
time (sec) |
N/A | 0.043 | 26.611 | 0.575 | 0.620 | 0.244 | 0.000 | 0.592 | 1.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 606 | 96 | 0 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 30.30 | 4.80 | 0.00 | 1.10 | 1.10 |
time (sec) |
N/A | 0.037 | 26.977 | 0.501 | 0.857 | 0.257 | 0.000 | 1.487 | 1.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 544 | 544 | 773 | 1232 | 0 | 6396 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.42 | 2.26 | 0.00 | 11.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.404 | 5.029 | 2.046 | 0.000 | 0.354 | 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 | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 1651 | 83 | 0 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 82.55 | 4.15 | 0.00 | 1.10 | 1.10 |
time (sec) |
N/A | 0.041 | 46.764 | 0.745 | 2.412 | 0.264 | 0.000 | 1.471 | 0.980 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 2122 | 141 | 0 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 106.10 | 7.05 | 0.00 | 1.10 | 1.10 |
time (sec) |
N/A | 0.037 | 46.118 | 0.852 | 3.622 | 0.288 | 0.000 | 60.711 | 1.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 22 | 22 | 0 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.10 | 0.00 | 1.10 | 1.10 |
time (sec) |
N/A | 0.035 | 3.174 | 0.435 | 0.343 | 0.261 | 0.000 | 0.408 | 0.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 448 | 0 | 377 | 829 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.69 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.547 | 1.107 | 0.000 | 0.143 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 254 | 0 | 208 | 517 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.74 | 1.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 0.464 | 0.000 | 0.088 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 118 | 0 | 101 | 249 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.77 | 1.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.107 | 0.122 | 0.000 | 0.070 | 0.094 | 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 | 20 | 22 | 22 | 17 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.10 | 0.85 | 1.10 | 1.10 |
time (sec) |
N/A | 0.043 | 1.180 | 0.393 | 0.279 | 0.247 | 1.227 | 0.276 | 0.860 |
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 | 20 | 22 | 38 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.90 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.041 | 4.845 | 0.610 | 0.304 | 0.246 | 27.363 | 0.326 | 0.931 |
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 | 163 | 163 | 214 | 579 | 318 | 456 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.31 | 3.55 | 1.95 | 2.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 1.609 | 1.984 | 0.290 | 0.262 | 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 | 130 | 130 | 187 | 321 | 0 | 261 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.44 | 2.47 | 0.00 | 2.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 1.087 | 1.665 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 239 | 86 | 108 | 96 | 73 | 111 | 74 |
N.S. |
1 | 1.00 | 2.66 | 0.96 | 1.20 | 1.07 | 0.81 | 1.23 | 0.82 |
time (sec) |
N/A | 0.076 | 0.752 | 1.888 | 0.223 | 0.252 | 0.150 | 0.268 | 1.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 61 | 28 | 36 | 33 | 24 | 33 | 27 |
N.S. |
1 | 1.00 | 1.74 | 0.80 | 1.03 | 0.94 | 0.69 | 0.94 | 0.77 |
time (sec) |
N/A | 0.030 | 0.155 | 0.960 | 0.190 | 0.244 | 0.076 | 0.267 | 0.937 |
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 | 29 | 29 | 31 | 27 | 116 | 154 | 425 | 29 | 30 |
N.S. |
1 | 1.00 | 1.07 | 0.93 | 4.00 | 5.31 | 14.66 | 1.00 | 1.03 |
time (sec) |
N/A | 0.033 | 37.760 | 0.463 | 0.264 | 0.263 | 12.079 | 0.297 | 1.006 |
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 | 29 | 29 | 31 | 27 | 194 | 232 | 631 | 29 | 30 |
N.S. |
1 | 1.00 | 1.07 | 0.93 | 6.69 | 8.00 | 21.76 | 1.00 | 1.03 |
time (sec) |
N/A | 0.032 | 29.545 | 0.464 | 0.296 | 0.237 | 22.541 | 0.372 | 1.019 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 2619 | 699 | 671 | 823 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 10.87 | 2.90 | 2.78 | 3.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 3.576 | 2.896 | 0.377 | 0.265 | 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 | 184 | 184 | 260 | 385 | 0 | 474 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.41 | 2.09 | 0.00 | 2.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 1.952 | 2.503 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 238 | 134 | 238 | 172 | 224 | 251 | 143 |
N.S. |
1 | 1.00 | 2.00 | 1.13 | 2.00 | 1.45 | 1.88 | 2.11 | 1.20 |
time (sec) |
N/A | 0.132 | 2.454 | 2.062 | 0.254 | 0.248 | 0.277 | 0.280 | 1.307 |
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 | 52 | 52 | 59 | 60 | 74 | 69 | 99 | 61 | 59 |
N.S. |
1 | 1.00 | 1.13 | 1.15 | 1.42 | 1.33 | 1.90 | 1.17 | 1.13 |
time (sec) |
N/A | 0.066 | 0.174 | 1.177 | 0.190 | 0.243 | 0.140 | 0.279 | 1.063 |
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 | 31 | 31 | 33 | 29 | 177 | 203 | 950 | 31 | 32 |
N.S. |
1 | 1.00 | 1.06 | 0.94 | 5.71 | 6.55 | 30.65 | 1.00 | 1.03 |
time (sec) |
N/A | 0.053 | 21.378 | 1.082 | 0.327 | 0.232 | 74.643 | 0.307 | 1.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 33 | 29 | 270 | 281 | 0 | 31 | 32 |
N.S. |
1 | 1.00 | 1.06 | 0.94 | 8.71 | 9.06 | 0.00 | 1.00 | 1.03 |
time (sec) |
N/A | 0.054 | 22.822 | 1.062 | 0.364 | 0.257 | 0.000 | 0.414 | 1.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 393 | 393 | 376 | 1006 | 0 | 1044 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 2.56 | 0.00 | 2.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.494 | 4.700 | 2.530 | 0.000 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 287 | 1661 | 560 | 0 | 595 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.79 | 1.95 | 0.00 | 2.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 3.722 | 2.425 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |