Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 180 | 122 | 139 | 214 | 187 | 0 | 156 | 496 |
N.S. |
1 | 1.02 | 0.69 | 0.79 | 1.22 | 1.06 | 0.00 | 0.89 | 2.82 |
time (sec) |
N/A | 1.013 | 1.718 | 1.691 | 0.209 | 0.286 | 0.000 | 0.449 | 18.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 195 | 116 | 127 | 214 | 187 | 0 | 156 | 496 |
N.S. |
1 | 1.01 | 0.60 | 0.65 | 1.10 | 0.96 | 0.00 | 0.80 | 2.56 |
time (sec) |
N/A | 1.031 | 3.631 | 1.728 | 0.221 | 0.290 | 0.000 | 0.430 | 19.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 116 | 127 | 214 | 187 | 0 | 156 | 496 |
N.S. |
1 | 1.00 | 0.60 | 0.66 | 1.11 | 0.97 | 0.00 | 0.81 | 2.58 |
time (sec) |
N/A | 1.034 | 3.464 | 1.676 | 0.211 | 0.310 | 0.000 | 0.569 | 17.881 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 178 | 104 | 115 | 214 | 187 | 0 | 156 | 496 |
N.S. |
1 | 1.02 | 0.60 | 0.66 | 1.23 | 1.07 | 0.00 | 0.90 | 2.85 |
time (sec) |
N/A | 0.993 | 1.803 | 1.718 | 0.228 | 0.298 | 0.000 | 0.527 | 18.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 176 | 122 | 139 | 214 | 187 | 0 | 156 | 496 |
N.S. |
1 | 1.02 | 0.71 | 0.81 | 1.24 | 1.09 | 0.00 | 0.91 | 2.88 |
time (sec) |
N/A | 0.975 | 1.714 | 1.688 | 0.221 | 0.292 | 0.000 | 0.566 | 17.961 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 162 | 116 | 127 | 214 | 187 | 0 | 156 | 496 |
N.S. |
1 | 1.05 | 0.75 | 0.82 | 1.39 | 1.21 | 0.00 | 1.01 | 3.22 |
time (sec) |
N/A | 0.887 | 3.510 | 1.765 | 0.208 | 0.302 | 0.000 | 0.555 | 18.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 197 | 165 | 139 | 214 | 187 | 0 | 156 | 199 |
N.S. |
1 | 0.94 | 0.79 | 0.66 | 1.02 | 0.89 | 0.00 | 0.74 | 0.95 |
time (sec) |
N/A | 0.366 | 0.834 | 1.760 | 0.219 | 0.300 | 0.000 | 0.650 | 9.561 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 233 | 228 | 146 | 226 | 222 | 0 | 169 | 231 |
N.S. |
1 | 0.94 | 0.92 | 0.59 | 0.91 | 0.90 | 0.00 | 0.68 | 0.94 |
time (sec) |
N/A | 0.433 | 6.133 | 3.207 | 0.212 | 0.330 | 0.000 | 0.362 | 0.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 245 | 240 | 158 | 245 | 278 | 0 | 190 | 252 |
N.S. |
1 | 0.94 | 0.92 | 0.60 | 0.94 | 1.06 | 0.00 | 0.73 | 0.96 |
time (sec) |
N/A | 0.470 | 6.143 | 2.856 | 0.236 | 0.328 | 0.000 | 0.366 | 0.318 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 259 | 254 | 166 | 257 | 331 | 0 | 202 | 263 |
N.S. |
1 | 0.93 | 0.91 | 0.59 | 0.92 | 1.19 | 0.00 | 0.72 | 0.94 |
time (sec) |
N/A | 0.483 | 6.162 | 3.072 | 0.234 | 0.317 | 0.000 | 0.379 | 9.527 |
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 | 127 | 172 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.618 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 88 | 99 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.306 | 0.118 | 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 | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 167 | 130 | 386 | 486 | 902 | 11900 | 1731 | 863 |
N.S. |
1 | 0.95 | 0.74 | 2.21 | 2.78 | 5.15 | 68.00 | 9.89 | 4.93 |
time (sec) |
N/A | 0.412 | 0.433 | 33.090 | 0.240 | 0.369 | 20.293 | 0.427 | 19.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 134 | 105 | 262 | 313 | 545 | 5596 | 942 | 617 |
N.S. |
1 | 0.96 | 0.76 | 1.88 | 2.25 | 3.92 | 40.26 | 6.78 | 4.44 |
time (sec) |
N/A | 0.379 | 0.234 | 5.304 | 0.221 | 0.341 | 8.476 | 0.360 | 14.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 99 | 78 | 166 | 183 | 294 | 2159 | 436 | 302 |
N.S. |
1 | 0.98 | 0.77 | 1.64 | 1.81 | 2.91 | 21.38 | 4.32 | 2.99 |
time (sec) |
N/A | 0.337 | 0.265 | 2.301 | 0.216 | 0.298 | 3.317 | 0.340 | 12.406 |
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 | 61 | 66 | 52 | 55 | 87 | 116 | 586 | 147 | 121 |
N.S. |
1 | 1.08 | 0.85 | 0.90 | 1.43 | 1.90 | 9.61 | 2.41 | 1.98 |
time (sec) |
N/A | 0.277 | 0.493 | 0.691 | 0.243 | 0.298 | 1.334 | 0.383 | 11.414 |
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 | 60 | 66 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 0.055 | 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 | 60 | 66 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 0.047 | 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 | 63 | 69 | 63 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 0.048 | 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 | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 157 | 143 | 429 | 457 | 744 | 9238 | 1736 | 1656 |
N.S. |
1 | 0.92 | 0.84 | 2.52 | 2.69 | 4.38 | 54.34 | 10.21 | 9.74 |
time (sec) |
N/A | 0.375 | 0.483 | 8.538 | 0.223 | 0.315 | 14.338 | 0.820 | 17.618 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 123 | 113 | 262 | 294 | 403 | 4310 | 944 | 703 |
N.S. |
1 | 0.92 | 0.85 | 1.97 | 2.21 | 3.03 | 32.41 | 7.10 | 5.29 |
time (sec) |
N/A | 0.341 | 0.284 | 3.403 | 0.250 | 0.287 | 6.087 | 0.350 | 14.333 |
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 | 96 | 89 | 83 | 154 | 171 | 189 | 1622 | 435 | 305 |
N.S. |
1 | 0.93 | 0.86 | 1.60 | 1.78 | 1.97 | 16.90 | 4.53 | 3.18 |
time (sec) |
N/A | 0.320 | 0.285 | 1.775 | 0.214 | 0.268 | 2.546 | 0.341 | 11.402 |
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 | 59 | 55 | 51 | 72 | 83 | 70 | 428 | 147 | 99 |
N.S. |
1 | 0.93 | 0.86 | 1.22 | 1.41 | 1.19 | 7.25 | 2.49 | 1.68 |
time (sec) |
N/A | 0.261 | 0.091 | 1.122 | 0.221 | 0.268 | 1.096 | 0.328 | 11.184 |
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 | 59 | 64 | 59 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 0.077 | 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 | 59 | 64 | 59 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.274 | 0.078 | 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 | 59 | 64 | 59 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.274 | 0.070 | 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 | 54 | 61 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 0.063 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 121 | 150 | 206 | 159 | 197 | 2747 | 791 | 349 |
N.S. |
1 | 0.90 | 1.12 | 1.54 | 1.19 | 1.47 | 20.50 | 5.90 | 2.60 |
time (sec) |
N/A | 0.301 | 0.972 | 2.224 | 0.219 | 0.280 | 11.031 | 0.426 | 13.293 |
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 | 108 | 98 | 94 | 127 | 119 | 140 | 1508 | 508 | 224 |
N.S. |
1 | 0.91 | 0.87 | 1.18 | 1.10 | 1.30 | 13.96 | 4.70 | 2.07 |
time (sec) |
N/A | 0.290 | 0.409 | 1.267 | 0.227 | 0.281 | 4.787 | 0.375 | 12.517 |
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 | 80 | 73 | 77 | 95 | 84 | 93 | 697 | 287 | 138 |
N.S. |
1 | 0.91 | 0.96 | 1.19 | 1.05 | 1.16 | 8.71 | 3.59 | 1.72 |
time (sec) |
N/A | 0.282 | 0.148 | 0.866 | 0.227 | 0.289 | 2.134 | 0.375 | 10.706 |
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 | 54 | 50 | 43 | 55 | 56 | 54 | 248 | 120 | 62 |
N.S. |
1 | 0.93 | 0.80 | 1.02 | 1.04 | 1.00 | 4.59 | 2.22 | 1.15 |
time (sec) |
N/A | 0.240 | 0.018 | 0.609 | 0.228 | 0.269 | 0.960 | 0.276 | 9.920 |
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 | 43 | 43 | 43 | 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 | 0.207 | 0.042 | 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 | 42 | 42 | 42 | 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 | 0.225 | 0.040 | 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 | 43 | 43 | 43 | 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 | 0.241 | 0.047 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 80 | 99 | 72 | 74 | 72 | 199 | 83 | 276 |
N.S. |
1 | 1.01 | 1.25 | 0.91 | 0.94 | 0.91 | 2.52 | 1.05 | 3.49 |
time (sec) |
N/A | 0.394 | 0.867 | 0.304 | 0.323 | 0.280 | 0.172 | 0.327 | 11.148 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 127 | 750 | 160 | 0 | 667 | 0 | 215 | 0 |
N.S. |
1 | 1.03 | 6.10 | 1.30 | 0.00 | 5.42 | 0.00 | 1.75 | 0.00 |
time (sec) |
N/A | 0.845 | 3.080 | 0.254 | 0.000 | 0.380 | 0.000 | 0.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 141 | 145 | 1338 | 3380 | 0 | 2071 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 9.49 | 23.97 | 0.00 | 14.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.025 | 15.510 | 0.523 | 0.000 | 0.764 | 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 | 135 | 135 | 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 | 0.433 | 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(-1) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 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 | 0.364 | 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 | 119 | 119 | 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 | 0.359 | 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 | 117 | 117 | 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 | 0.306 | 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 | 119 | 119 | 229 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.436 | 0.938 | 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 | 119 | 119 | 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 | 0.355 | 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 | 119 | 119 | 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 | 0.362 | 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(-1) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 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 | 0.393 | 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(-1) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 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 | 0.332 | 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(-1) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 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 | 0.323 | 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 | 121 | 121 | 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 | 0.349 | 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(-2) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 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 | 0.441 | 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 | 121 | 121 | 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 | 0.357 | 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 | 121 | 121 | 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 | 0.351 | 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 | 121 | 121 | 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 | 0.341 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 121 | 99 | 141 | 134 | 97 | 228 | 182 | 134 |
N.S. |
1 | 0.90 | 0.74 | 1.05 | 1.00 | 0.72 | 1.70 | 1.36 | 1.00 |
time (sec) |
N/A | 0.333 | 0.786 | 0.800 | 0.213 | 0.281 | 0.899 | 0.484 | 0.155 |
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 | 102 | 92 | 75 | 99 | 104 | 81 | 178 | 145 | 102 |
N.S. |
1 | 0.90 | 0.74 | 0.97 | 1.02 | 0.79 | 1.75 | 1.42 | 1.00 |
time (sec) |
N/A | 0.309 | 0.437 | 0.471 | 0.259 | 0.273 | 0.455 | 0.447 | 0.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 71 | 74 | 73 | 72 | 65 | 128 | 100 | 72 |
N.S. |
1 | 0.91 | 0.95 | 0.94 | 0.92 | 0.83 | 1.64 | 1.28 | 0.92 |
time (sec) |
N/A | 0.283 | 0.433 | 0.320 | 0.215 | 0.261 | 0.217 | 0.492 | 9.487 |
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 | 49 | 53 | 52 | 44 | 42 | 48 | 75 | 52 | 40 |
N.S. |
1 | 1.08 | 1.06 | 0.90 | 0.86 | 0.98 | 1.53 | 1.06 | 0.82 |
time (sec) |
N/A | 0.243 | 0.326 | 0.165 | 0.215 | 0.296 | 0.111 | 0.579 | 0.078 |
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 | 34 | 33 | 68 | 29 | 29 | 31 | 0 | 114 | 35 |
N.S. |
1 | 0.97 | 2.00 | 0.85 | 0.85 | 0.91 | 0.00 | 3.35 | 1.03 |
time (sec) |
N/A | 0.244 | 0.038 | 0.260 | 0.219 | 0.268 | 0.000 | 0.275 | 0.081 |
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 | 47 | 47 | 37 | 82 | 55 | 90 | 0 | 84 | 43 |
N.S. |
1 | 1.00 | 0.79 | 1.74 | 1.17 | 1.91 | 0.00 | 1.79 | 0.91 |
time (sec) |
N/A | 0.270 | 0.973 | 0.418 | 0.232 | 0.285 | 0.000 | 0.304 | 0.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 97 | 67 | 141 | 115 | 182 | 0 | 152 | 98 |
N.S. |
1 | 0.97 | 0.67 | 1.41 | 1.15 | 1.82 | 0.00 | 1.52 | 0.98 |
time (sec) |
N/A | 0.307 | 0.577 | 0.602 | 0.219 | 0.274 | 0.000 | 0.310 | 9.845 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 148 | 104 | 169 | 171 | 222 | 0 | 201 | 155 |
N.S. |
1 | 0.94 | 0.66 | 1.08 | 1.09 | 1.41 | 0.00 | 1.28 | 0.99 |
time (sec) |
N/A | 0.359 | 3.077 | 0.845 | 0.217 | 0.300 | 0.000 | 0.330 | 10.026 |
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 | 138 | 132 | 182 | 138 | 124 | 97 | 416 | 176 | 504 |
N.S. |
1 | 0.96 | 1.32 | 1.00 | 0.90 | 0.70 | 3.01 | 1.28 | 3.65 |
time (sec) |
N/A | 0.569 | 3.289 | 0.763 | 0.222 | 0.296 | 0.664 | 0.351 | 11.397 |
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 | 111 | 106 | 138 | 118 | 98 | 81 | 306 | 133 | 391 |
N.S. |
1 | 0.95 | 1.24 | 1.06 | 0.88 | 0.73 | 2.76 | 1.20 | 3.52 |
time (sec) |
N/A | 0.462 | 1.685 | 0.643 | 0.206 | 0.286 | 0.354 | 0.327 | 12.672 |
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 | 84 | 80 | 99 | 84 | 74 | 65 | 199 | 83 | 276 |
N.S. |
1 | 0.95 | 1.18 | 1.00 | 0.88 | 0.77 | 2.37 | 0.99 | 3.29 |
time (sec) |
N/A | 0.374 | 0.864 | 0.347 | 0.228 | 0.267 | 0.173 | 0.310 | 11.075 |
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 | 29 | 29 | 33 | 44 | 56 | 73 | 0 | 36 | 33 |
N.S. |
1 | 1.00 | 1.14 | 1.52 | 1.93 | 2.52 | 0.00 | 1.24 | 1.14 |
time (sec) |
N/A | 0.222 | 0.662 | 0.298 | 0.299 | 0.277 | 0.000 | 0.298 | 10.919 |
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 | 50 | 50 | 86 | 72 | 59 | 69 | 0 | 94 | 107 |
N.S. |
1 | 1.00 | 1.72 | 1.44 | 1.18 | 1.38 | 0.00 | 1.88 | 2.14 |
time (sec) |
N/A | 0.310 | 0.455 | 0.397 | 0.210 | 0.282 | 0.000 | 0.306 | 11.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 65 | 81 | 102 | 86 | 112 | 0 | 225 | 224 |
N.S. |
1 | 0.89 | 1.11 | 1.40 | 1.18 | 1.53 | 0.00 | 3.08 | 3.07 |
time (sec) |
N/A | 0.322 | 0.661 | 0.503 | 0.213 | 0.261 | 0.000 | 0.303 | 11.741 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 77 | 104 | 130 | 107 | 149 | 0 | 345 | 320 |
N.S. |
1 | 0.80 | 1.08 | 1.35 | 1.11 | 1.55 | 0.00 | 3.59 | 3.33 |
time (sec) |
N/A | 0.329 | 3.939 | 0.676 | 0.215 | 0.273 | 0.000 | 0.490 | 14.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 87 | 131 | 158 | 126 | 185 | 0 | 465 | 416 |
N.S. |
1 | 0.73 | 1.10 | 1.33 | 1.06 | 1.55 | 0.00 | 3.91 | 3.50 |
time (sec) |
N/A | 0.336 | 5.308 | 0.916 | 0.215 | 0.288 | 0.000 | 0.430 | 14.034 |
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 | 134 | 121 | 86 | 152 | 168 | 127 | 389 | 239 | 168 |
N.S. |
1 | 0.90 | 0.64 | 1.13 | 1.25 | 0.95 | 2.90 | 1.78 | 1.25 |
time (sec) |
N/A | 0.370 | 0.808 | 1.076 | 0.213 | 0.308 | 1.315 | 0.642 | 9.739 |
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 | 105 | 95 | 70 | 126 | 142 | 109 | 309 | 202 | 140 |
N.S. |
1 | 0.90 | 0.67 | 1.20 | 1.35 | 1.04 | 2.94 | 1.92 | 1.33 |
time (sec) |
N/A | 0.325 | 0.238 | 0.740 | 0.220 | 0.289 | 0.674 | 0.533 | 0.136 |
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 | 78 | 71 | 66 | 84 | 96 | 91 | 228 | 116 | 96 |
N.S. |
1 | 0.91 | 0.85 | 1.08 | 1.23 | 1.17 | 2.92 | 1.49 | 1.23 |
time (sec) |
N/A | 0.296 | 0.280 | 0.499 | 0.204 | 0.277 | 0.338 | 0.431 | 10.256 |
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 | 51 | 47 | 49 | 74 | 68 | 72 | 117 | 88 | 66 |
N.S. |
1 | 0.92 | 0.96 | 1.45 | 1.33 | 1.41 | 2.29 | 1.73 | 1.29 |
time (sec) |
N/A | 0.253 | 0.069 | 0.250 | 0.204 | 0.271 | 0.161 | 0.301 | 10.014 |
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 | 60 | 56 | 51 | 75 | 52 | 54 | 0 | 220 | 63 |
N.S. |
1 | 0.93 | 0.85 | 1.25 | 0.87 | 0.90 | 0.00 | 3.67 | 1.05 |
time (sec) |
N/A | 0.270 | 0.063 | 0.285 | 0.223 | 0.276 | 0.000 | 0.311 | 0.096 |
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 | 43 | 40 | 41 | 75 | 37 | 55 | 0 | 112 | 44 |
N.S. |
1 | 0.93 | 0.95 | 1.74 | 0.86 | 1.28 | 0.00 | 2.60 | 1.02 |
time (sec) |
N/A | 0.272 | 0.059 | 0.364 | 0.205 | 0.267 | 0.000 | 0.330 | 0.065 |
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 | 77 | 72 | 75 | 135 | 87 | 161 | 0 | 130 | 73 |
N.S. |
1 | 0.94 | 0.97 | 1.75 | 1.13 | 2.09 | 0.00 | 1.69 | 0.95 |
time (sec) |
N/A | 0.304 | 0.105 | 0.481 | 0.211 | 0.287 | 0.000 | 0.325 | 9.909 |
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 | 132 | 124 | 90 | 239 | 148 | 271 | 0 | 209 | 136 |
N.S. |
1 | 0.94 | 0.68 | 1.81 | 1.12 | 2.05 | 0.00 | 1.58 | 1.03 |
time (sec) |
N/A | 0.353 | 0.474 | 0.644 | 0.220 | 0.286 | 0.000 | 0.390 | 9.641 |
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 | 196 | 171 | 216 | 164 | 208 | 135 | 719 | 235 | 622 |
N.S. |
1 | 0.87 | 1.10 | 0.84 | 1.06 | 0.69 | 3.67 | 1.20 | 3.17 |
time (sec) |
N/A | 0.760 | 3.488 | 1.279 | 0.222 | 0.303 | 0.972 | 0.452 | 11.424 |
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 | 165 | 145 | 171 | 138 | 171 | 115 | 539 | 192 | 494 |
N.S. |
1 | 0.88 | 1.04 | 0.84 | 1.04 | 0.70 | 3.27 | 1.16 | 2.99 |
time (sec) |
N/A | 0.637 | 1.215 | 0.875 | 0.214 | 0.272 | 0.500 | 0.377 | 11.943 |
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 | 134 | 119 | 133 | 96 | 134 | 95 | 371 | 130 | 367 |
N.S. |
1 | 0.89 | 0.99 | 0.72 | 1.00 | 0.71 | 2.77 | 0.97 | 2.74 |
time (sec) |
N/A | 0.531 | 0.722 | 0.565 | 0.216 | 0.264 | 0.277 | 0.349 | 11.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 50 | 91 | 73 | 104 | 128 | 0 | 125 | 110 |
N.S. |
1 | 0.91 | 1.65 | 1.33 | 1.89 | 2.33 | 0.00 | 2.27 | 2.00 |
time (sec) |
N/A | 0.270 | 0.172 | 0.425 | 0.296 | 0.270 | 0.000 | 0.312 | 10.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 64 | 48 | 57 | 108 | 120 | 0 | 78 | 77 |
N.S. |
1 | 0.88 | 0.66 | 0.78 | 1.48 | 1.64 | 0.00 | 1.07 | 1.05 |
time (sec) |
N/A | 0.423 | 0.105 | 0.533 | 0.210 | 0.269 | 0.000 | 0.431 | 9.945 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 87 | 103 | 122 | 147 | 113 | 0 | 192 | 175 |
N.S. |
1 | 0.84 | 0.99 | 1.17 | 1.41 | 1.09 | 0.00 | 1.85 | 1.68 |
time (sec) |
N/A | 0.448 | 0.208 | 0.596 | 0.228 | 0.267 | 0.000 | 0.432 | 10.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 99 | 130 | 188 | 178 | 157 | 0 | 325 | 274 |
N.S. |
1 | 0.77 | 1.01 | 1.46 | 1.38 | 1.22 | 0.00 | 2.52 | 2.12 |
time (sec) |
N/A | 0.451 | 0.244 | 0.666 | 0.215 | 0.273 | 0.000 | 0.494 | 12.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 109 | 156 | 250 | 207 | 197 | 0 | 461 | 370 |
N.S. |
1 | 0.71 | 1.01 | 1.62 | 1.34 | 1.28 | 0.00 | 2.99 | 2.40 |
time (sec) |
N/A | 0.465 | 0.338 | 0.901 | 0.208 | 0.315 | 0.000 | 0.465 | 14.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 123 | 181 | 312 | 238 | 237 | 0 | 597 | 466 |
N.S. |
1 | 0.69 | 1.01 | 1.74 | 1.33 | 1.32 | 0.00 | 3.34 | 2.60 |
time (sec) |
N/A | 0.473 | 0.714 | 1.227 | 0.207 | 0.319 | 0.000 | 0.620 | 14.952 |
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 | 134 | 121 | 86 | 157 | 182 | 155 | 530 | 283 | 177 |
N.S. |
1 | 0.90 | 0.64 | 1.17 | 1.36 | 1.16 | 3.96 | 2.11 | 1.32 |
time (sec) |
N/A | 0.376 | 1.072 | 1.533 | 0.303 | 0.318 | 1.819 | 0.440 | 0.218 |
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 | 105 | 95 | 70 | 135 | 158 | 129 | 418 | 230 | 156 |
N.S. |
1 | 0.90 | 0.67 | 1.29 | 1.50 | 1.23 | 3.98 | 2.19 | 1.49 |
time (sec) |
N/A | 0.341 | 0.323 | 1.217 | 0.207 | 0.305 | 0.955 | 0.443 | 0.155 |
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 | 78 | 71 | 53 | 113 | 126 | 115 | 313 | 172 | 126 |
N.S. |
1 | 0.91 | 0.68 | 1.45 | 1.62 | 1.47 | 4.01 | 2.21 | 1.62 |
time (sec) |
N/A | 0.321 | 0.169 | 0.677 | 0.212 | 0.298 | 0.477 | 0.408 | 9.622 |
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 | 51 | 47 | 36 | 94 | 84 | 94 | 151 | 116 | 81 |
N.S. |
1 | 0.92 | 0.71 | 1.84 | 1.65 | 1.84 | 2.96 | 2.27 | 1.59 |
time (sec) |
N/A | 0.250 | 0.061 | 0.353 | 0.202 | 0.255 | 0.230 | 0.345 | 11.211 |
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 | 81 | 74 | 68 | 96 | 73 | 77 | 0 | 289 | 100 |
N.S. |
1 | 0.91 | 0.84 | 1.19 | 0.90 | 0.95 | 0.00 | 3.57 | 1.23 |
time (sec) |
N/A | 0.287 | 0.093 | 0.343 | 0.206 | 0.281 | 0.000 | 0.316 | 0.097 |
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 | 62 | 57 | 48 | 102 | 52 | 89 | 0 | 228 | 63 |
N.S. |
1 | 0.92 | 0.77 | 1.65 | 0.84 | 1.44 | 0.00 | 3.68 | 1.02 |
time (sec) |
N/A | 0.297 | 0.089 | 0.461 | 0.224 | 0.285 | 0.000 | 0.342 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 37 | 61 | 47 | 49 | 0 | 82 | 36 |
N.S. |
1 | 1.00 | 0.86 | 1.42 | 1.09 | 1.14 | 0.00 | 1.91 | 0.84 |
time (sec) |
N/A | 0.263 | 0.035 | 0.353 | 0.212 | 0.262 | 0.000 | 0.350 | 9.617 |
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 | 105 | 97 | 95 | 192 | 123 | 242 | 0 | 158 | 112 |
N.S. |
1 | 0.92 | 0.90 | 1.83 | 1.17 | 2.30 | 0.00 | 1.50 | 1.07 |
time (sec) |
N/A | 0.331 | 0.178 | 0.555 | 0.208 | 0.290 | 0.000 | 0.372 | 9.607 |
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 | 162 | 151 | 151 | 292 | 185 | 353 | 0 | 237 | 172 |
N.S. |
1 | 0.93 | 0.93 | 1.80 | 1.14 | 2.18 | 0.00 | 1.46 | 1.06 |
time (sec) |
N/A | 0.383 | 0.456 | 0.843 | 0.214 | 0.290 | 0.000 | 0.492 | 9.839 |
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 | 231 | 205 | 238 | 186 | 284 | 155 | 1042 | 273 | 711 |
N.S. |
1 | 0.89 | 1.03 | 0.81 | 1.23 | 0.67 | 4.51 | 1.18 | 3.08 |
time (sec) |
N/A | 0.923 | 4.390 | 1.728 | 0.217 | 0.311 | 1.349 | 0.539 | 11.391 |
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 | 200 | 179 | 183 | 152 | 232 | 135 | 823 | 217 | 584 |
N.S. |
1 | 0.90 | 0.92 | 0.76 | 1.16 | 0.68 | 4.12 | 1.08 | 2.92 |
time (sec) |
N/A | 0.777 | 1.518 | 1.196 | 0.208 | 0.288 | 0.727 | 0.638 | 12.215 |
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 | 159 | 151 | 146 | 120 | 199 | 111 | 588 | 165 | 451 |
N.S. |
1 | 0.95 | 0.92 | 0.75 | 1.25 | 0.70 | 3.70 | 1.04 | 2.84 |
time (sec) |
N/A | 0.686 | 0.980 | 0.823 | 0.214 | 0.286 | 0.390 | 0.556 | 11.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 81 | 82 | 117 | 167 | 173 | 0 | 147 | 234 |
N.S. |
1 | 0.89 | 0.90 | 1.29 | 1.84 | 1.90 | 0.00 | 1.62 | 2.57 |
time (sec) |
N/A | 0.324 | 0.215 | 0.536 | 0.297 | 0.274 | 0.000 | 0.658 | 11.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 72 | 121 | 86 | 164 | 167 | 0 | 93 | 140 |
N.S. |
1 | 1.04 | 1.75 | 1.25 | 2.38 | 2.42 | 0.00 | 1.35 | 2.03 |
time (sec) |
N/A | 0.427 | 6.897 | 0.472 | 0.315 | 0.301 | 0.000 | 0.337 | 9.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 101 | 94 | 93 | 188 | 188 | 0 | 146 | 113 |
N.S. |
1 | 0.94 | 0.88 | 0.87 | 1.76 | 1.76 | 0.00 | 1.36 | 1.06 |
time (sec) |
N/A | 0.503 | 0.123 | 0.450 | 0.224 | 0.251 | 0.000 | 0.347 | 11.828 |