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 | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 163 | 91 | 94 | 184 | 113 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.60 | 0.62 | 1.22 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.354 | 0.118 | 0.319 | 0.219 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 147 | 166 | 151 | 202 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.23 | 1.12 | 1.50 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.341 | 0.073 | 0.161 | 0.212 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 127 | 89 | 86 | 145 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.74 | 0.71 | 1.20 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 0.081 | 0.173 | 0.281 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 101 | 100 | 136 | 162 | 98 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.02 | 1.39 | 1.65 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.254 | 0.110 | 0.322 | 0.219 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 89 | 71 | 71 | 97 | 83 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.83 | 0.83 | 1.13 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.279 | 0.066 | 0.027 | 0.202 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 140 | 130 | 131 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.20 | 1.11 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.658 | 0.095 | 0.878 | 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 | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 74 | 110 | 92 | 66 | 127 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.45 | 1.21 | 0.87 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.325 | 0.125 | 0.049 | 0.331 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 141 | 107 | 128 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.79 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.677 | 0.067 | 0.303 | 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 | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 93 | 127 | 117 | 89 | 146 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.41 | 1.30 | 0.99 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.182 | 0.045 | 0.361 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 206 | 200 | 124 | 124 | 319 | 165 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.60 | 0.60 | 1.55 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.538 | 0.136 | 0.595 | 0.221 | 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 | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 231 | 194 | 192 | 346 | 161 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.97 | 0.96 | 1.73 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.524 | 0.142 | 0.512 | 0.252 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 180 | 116 | 116 | 261 | 153 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.66 | 0.66 | 1.47 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.511 | 0.117 | 0.486 | 0.213 | 0.249 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 133 | 126 | 170 | 287 | 149 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.93 | 1.25 | 2.11 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 0.141 | 0.532 | 0.252 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 155 | 99 | 99 | 194 | 133 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.69 | 0.69 | 1.36 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 0.104 | 0.493 | 0.227 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 241 | 208 | 192 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 1.13 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.977 | 0.491 | 0.952 | 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 | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 145 | 131 | 139 | 143 | 201 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.97 | 1.03 | 1.06 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.531 | 0.133 | 0.490 | 0.302 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 249 | 182 | 206 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.24 | 0.91 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.028 | 0.231 | 0.895 | 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 | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 163 | 135 | 150 | 137 | 213 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.95 | 1.06 | 0.96 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 0.128 | 0.478 | 0.288 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 256 | 241 | 147 | 154 | 465 | 201 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.57 | 0.60 | 1.82 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.795 | 0.172 | 0.585 | 0.239 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 219 | 162 | 233 | 501 | 197 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.70 | 1.01 | 2.18 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.486 | 0.216 | 0.546 | 0.221 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 221 | 139 | 146 | 388 | 189 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.61 | 0.64 | 1.71 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.748 | 0.180 | 0.555 | 0.275 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 161 | 150 | 202 | 423 | 185 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.90 | 1.22 | 2.55 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.311 | 0.244 | 0.543 | 0.231 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 194 | 123 | 130 | 302 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.64 | 0.68 | 1.58 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.647 | 0.176 | 0.468 | 0.243 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 362 | 305 | 245 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.51 | 1.28 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.355 | 0.488 | 0.948 | 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 | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 177 | 136 | 178 | 231 | 249 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.76 | 0.99 | 1.28 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.743 | 0.258 | 0.452 | 0.329 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 370 | 303 | 258 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.39 | 1.13 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.431 | 0.462 | 0.997 | 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 | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 187 | 142 | 195 | 208 | 253 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.73 | 1.00 | 1.07 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.792 | 0.256 | 0.461 | 0.500 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 187 | 227 | 232 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 1.44 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.863 | 0.367 | 0.704 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 146 | 151 | 217 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.08 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.683 | 0.197 | 0.614 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 155 | 181 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.52 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.559 | 0.204 | 0.616 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 75 | 85 | 137 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.15 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.439 | 0.066 | 0.546 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 58 | 64 | 180 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.08 | 3.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.350 | 0.052 | 2.332 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 65 | 129 | 191 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 2.11 | 3.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.442 | 0.267 | 0.855 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 99 | 132 | 143 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.39 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.585 | 0.192 | 0.711 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 117 | 212 | 243 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.80 | 2.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.679 | 0.313 | 0.699 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 178 | 223 | 190 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 1.42 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.866 | 0.238 | 0.786 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 198 | 244 | 254 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.38 | 1.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.868 | 0.775 | 0.757 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 180 | 209 | 202 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.17 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.770 | 0.518 | 0.658 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 121 | 206 | 192 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.66 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.568 | 0.609 | 0.731 | 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 | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 53 | 64 | 134 | 65 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 1.05 | 2.20 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.238 | 0.173 | 0.495 | 0.273 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 118 | 189 | 192 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.58 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.531 | 1.048 | 0.658 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 121 | 244 | 254 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 2.10 | 2.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.658 | 0.613 | 0.736 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 196 | 283 | 207 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 1.66 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.846 | 0.545 | 0.822 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 207 | 289 | 280 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.36 | 1.90 | 1.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.959 | 1.157 | 0.763 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 313 | 377 | 251 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 1.52 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.289 | 1.304 | 0.838 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 287 | 256 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.15 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.962 | 1.292 | 0.717 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 133 | 83 | 136 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.61 | 1.00 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 0.264 | 0.506 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 180 | 287 | 256 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.54 | 1.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.803 | 1.150 | 0.662 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 89 | 64 | 86 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.70 | 0.95 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 0.234 | 0.480 | 0.000 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 174 | 316 | 256 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.76 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.725 | 0.795 | 0.690 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 200 | 328 | 324 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 1.92 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.933 | 0.966 | 0.789 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 270 | 362 | 269 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 1.57 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.133 | 1.193 | 0.829 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 312 | 402 | 391 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 1.61 | 1.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.375 | 1.079 | 0.832 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 310 | 406 | 471 | 314 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 1.52 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.659 | 1.325 | 0.881 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 52 | 77 | 169 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.45 | 3.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.037 | 1.960 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 107 | 120 | 161 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.10 | 1.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.519 | 0.692 | 0.479 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 158 | 223 | 205 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.36 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.696 | 1.793 | 0.545 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 231 | 198 | 878 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.71 | 3.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.149 | 0.956 | 0.835 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 176 | 151 | 367 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.75 | 1.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.803 | 0.849 | 0.578 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 144 | 278 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.422 | 0.472 | 0.750 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 137 | 286 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 2.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.481 | 0.419 | 0.944 | 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 | C | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 88 | 88 | 153 | 150 | 462 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 0.74 | 1.29 | 1.26 | 3.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.333 | 0.091 | 1.177 | 0.308 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 199 | 134 | 128 | 1742 | 146 | 549 | 0 | 0 | 0 |
N.S. |
1 | 0.67 | 0.64 | 8.75 | 0.73 | 2.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.414 | 0.153 | 1.144 | 0.324 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 178 | 146 | 2537 | 207 | 615 | 0 | 0 | 0 |
N.S. |
1 | 0.64 | 0.52 | 9.09 | 0.74 | 2.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.477 | 0.174 | 1.166 | 0.296 | 0.329 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 272 | 175 | 169 | 988 | 205 | 203 | 0 | 0 | 0 |
N.S. |
1 | 0.64 | 0.62 | 3.63 | 0.75 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.463 | 0.173 | 0.687 | 0.297 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 132 | 126 | 640 | 144 | 176 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 0.65 | 3.28 | 0.74 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 0.122 | 1.320 | 0.308 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 87 | 98 | 356 | 81 | 142 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 0.83 | 3.02 | 0.69 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.301 | 0.124 | 0.513 | 0.247 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 150 | 233 | 394 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 1.09 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.822 | 0.654 | 0.858 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 235 | 165 | 307 | 436 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 1.31 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.824 | 0.890 | 1.221 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 315 | 215 | 290 | 541 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 0.92 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.177 | 0.852 | 1.113 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 360 | 325 | 337 | 783 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.94 | 2.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.507 | 3.468 | 0.748 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 270 | 270 | 883 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.96 | 3.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.161 | 1.467 | 0.714 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 216 | 235 | 546 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.18 | 2.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.659 | 0.962 | 0.919 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 209 | 223 | 244 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.13 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.698 | 0.971 | 1.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 210 | 259 | 270 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.28 | 1.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.769 | 0.835 | 1.121 | 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 | C | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 98 | 94 | 2171 | 189 | 572 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.57 | 13.08 | 1.14 | 3.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.342 | 0.066 | 1.223 | 0.299 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 143 | 136 | 3145 | 163 | 648 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 0.55 | 12.73 | 0.66 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.414 | 0.170 | 1.173 | 0.300 | 0.305 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 328 | 191 | 154 | 4262 | 225 | 720 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 0.47 | 12.99 | 0.69 | 2.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 0.210 | 1.294 | 0.293 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 409 | 231 | 170 | 5523 | 287 | 792 | 0 | 0 | 0 |
N.S. |
1 | 0.56 | 0.42 | 13.50 | 0.70 | 1.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.722 | 0.282 | 1.386 | 0.446 | 0.330 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 399 | 229 | 209 | 1846 | 285 | 275 | 0 | 0 | 0 |
N.S. |
1 | 0.57 | 0.52 | 4.63 | 0.71 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.669 | 0.181 | 0.887 | 0.407 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 186 | 153 | 1376 | 223 | 245 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 0.48 | 4.29 | 0.69 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.515 | 0.212 | 0.945 | 0.396 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 243 | 143 | 135 | 966 | 161 | 215 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.56 | 3.98 | 0.66 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.444 | 0.095 | 0.528 | 0.383 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 98 | 107 | 620 | 102 | 185 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.65 | 3.76 | 0.62 | 1.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.322 | 0.186 | 1.011 | 0.243 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 292 | 232 | 336 | 499 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 1.15 | 1.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.166 | 0.962 | 2.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 311 | 241 | 500 | 538 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 1.61 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.205 | 1.475 | 0.970 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 259 | 574 | 570 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 1.79 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.199 | 1.169 | 1.167 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 454 | 431 | 500 | 1743 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 1.10 | 3.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.020 | 6.035 | 0.904 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 371 | 376 | 415 | 1289 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.12 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.572 | 3.698 | 0.744 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 306 | 347 | 885 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.18 | 3.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.881 | 1.934 | 0.987 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 284 | 316 | 305 | 303 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.07 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.027 | 1.566 | 1.094 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 312 | 319 | 340 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.09 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.122 | 1.314 | 1.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 313 | 400 | 2429 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.37 | 8.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.221 | 2.940 | 1.221 | 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 | C | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 111 | 105 | 3775 | 224 | 703 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.48 | 17.24 | 1.02 | 3.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.368 | 0.101 | 1.331 | 0.311 | 0.308 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 172 | 147 | 5007 | 187 | 795 | 0 | 0 | 0 |
N.S. |
1 | 0.55 | 0.47 | 15.95 | 0.60 | 2.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.439 | 0.106 | 1.315 | 0.343 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 385 | 203 | 165 | 6382 | 251 | 879 | 0 | 0 | 0 |
N.S. |
1 | 0.53 | 0.43 | 16.58 | 0.65 | 2.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.524 | 0.125 | 1.469 | 0.312 | 0.335 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 458 | 241 | 179 | 2374 | 313 | 353 | 0 | 0 | 0 |
N.S. |
1 | 0.53 | 0.39 | 5.18 | 0.68 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.707 | 0.164 | 0.970 | 0.315 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 378 | 198 | 163 | 1840 | 249 | 317 | 0 | 0 | 0 |
N.S. |
1 | 0.52 | 0.43 | 4.87 | 0.66 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.537 | 0.118 | 0.763 | 0.284 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 153 | 145 | 1102 | 185 | 281 | 0 | 0 | 0 |
N.S. |
1 | 0.51 | 0.49 | 3.70 | 0.62 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 0.087 | 0.605 | 0.289 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 108 | 117 | 956 | 118 | 241 | 0 | 0 | 0 |
N.S. |
1 | 0.50 | 0.54 | 4.39 | 0.54 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 0.202 | 0.556 | 0.203 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 379 | 326 | 471 | 620 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 1.24 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.563 | 2.683 | 1.179 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |