Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 64 | 67 | 83 | 82 | 0 | 105 | 83 |
N.S. | 1 | 1.00 | 0.68 | 0.71 | 0.88 | 0.87 | 0.00 | 1.12 | 0.88 |
time (sec) |
N/A | 0.108 | 0.042 | 0.407 | 0.284 | 1.499 | 0.000 | 0.578 | 0.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 41 | 45 | 51 | 57 | 0 | 72 | 60 |
N.S. | 1 | 1.00 | 0.67 | 0.74 | 0.84 | 0.93 | 0.00 | 1.18 | 0.98 |
time (sec) |
N/A | 0.013 | 0.026 | 0.381 | 0.286 | 1.887 | 0.000 | 0.475 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 84 | 85 | 0 | 159 | 0 | 116 | 99 |
N.S. | 1 | 1.00 | 1.08 | 1.09 | 0.00 | 2.04 | 0.00 | 1.49 | 1.27 |
time (sec) |
N/A | 0.099 | 0.082 | 0.389 | 0.000 | 2.443 | 0.000 | 0.589 | 0.498 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 94 | 135 | 0 | 169 | 0 | 76 | -1 |
N.S. | 1 | 1.00 | 0.94 | 1.35 | 0.00 | 1.69 | 0.00 | 0.76 | -0.01 |
time (sec) |
N/A | 0.120 | 0.100 | 0.394 | 0.000 | 1.390 | 0.000 | 0.542 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 106 | 175 | 0 | 198 | 0 | 132 | -1 |
N.S. | 1 | 1.00 | 1.03 | 1.70 | 0.00 | 1.92 | 0.00 | 1.28 | -0.01 |
time (sec) |
N/A | 0.104 | 0.133 | 0.399 | 0.000 | 1.616 | 0.000 | 0.559 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 209 | 328 | 363 | 418 | 0 | 280 | -1 |
N.S. | 1 | 1.00 | 0.94 | 1.47 | 1.63 | 1.87 | 0.00 | 1.26 | -0.00 |
time (sec) |
N/A | 0.256 | 0.352 | 0.440 | 0.294 | 1.541 | 0.000 | 0.568 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 191 | 286 | 315 | 369 | 0 | 246 | -1 |
N.S. | 1 | 1.00 | 1.14 | 1.71 | 1.89 | 2.21 | 0.00 | 1.47 | -0.01 |
time (sec) |
N/A | 0.170 | 0.303 | 0.388 | 0.285 | 2.227 | 0.000 | 0.873 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 165 | 244 | 267 | 316 | 0 | 207 | 236 |
N.S. | 1 | 1.00 | 1.11 | 1.65 | 1.80 | 2.14 | 0.00 | 1.40 | 1.59 |
time (sec) |
N/A | 0.129 | 0.221 | 0.375 | 0.296 | 1.240 | 0.000 | 0.650 | 1.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 149 | 202 | 216 | 275 | 0 | 178 | -1 |
N.S. | 1 | 1.00 | 1.03 | 1.40 | 1.50 | 1.91 | 0.00 | 1.24 | -0.01 |
time (sec) |
N/A | 0.170 | 0.200 | 0.373 | 0.284 | 1.776 | 0.000 | 0.571 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 124 | 162 | 168 | 224 | 0 | 142 | -1 |
N.S. | 1 | 1.00 | 0.91 | 1.18 | 1.23 | 1.64 | 0.00 | 1.04 | -0.01 |
time (sec) |
N/A | 0.194 | 0.180 | 0.378 | 0.290 | 1.109 | 0.000 | 0.608 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 108 | 174 | 148 | 209 | 0 | 126 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.36 | 1.16 | 1.63 | 0.00 | 0.98 | -0.01 |
time (sec) |
N/A | 0.176 | 0.191 | 0.373 | 0.298 | 2.269 | 0.000 | 0.614 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 112 | 219 | 167 | 189 | 0 | 225 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.61 | 1.23 | 1.39 | 0.00 | 1.65 | -0.01 |
time (sec) |
N/A | 0.177 | 0.203 | 0.380 | 0.300 | 1.073 | 0.000 | 0.865 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 110 | 153 | 177 | 207 | 0 | 254 | -1 |
N.S. | 1 | 1.00 | 1.06 | 1.47 | 1.70 | 1.99 | 0.00 | 2.44 | -0.01 |
time (sec) |
N/A | 0.161 | 0.165 | 0.380 | 0.285 | 1.858 | 0.000 | 1.201 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 44 | 48 | 193 | 82 | 0 | 370 | 156 |
N.S. | 1 | 1.00 | 0.72 | 0.79 | 3.16 | 1.34 | 0.00 | 6.07 | 2.56 |
time (sec) |
N/A | 0.113 | 0.156 | 0.503 | 0.287 | 1.132 | 0.000 | 1.866 | 1.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 66 | 70 | 241 | 109 | 0 | 430 | 206 |
N.S. | 1 | 1.00 | 0.69 | 0.73 | 2.51 | 1.14 | 0.00 | 4.48 | 2.15 |
time (sec) |
N/A | 0.150 | 0.184 | 0.378 | 0.288 | 1.753 | 0.000 | 2.775 | 1.439 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 89 | 94 | 289 | 134 | 0 | 490 | 256 |
N.S. | 1 | 1.00 | 0.67 | 0.71 | 2.17 | 1.01 | 0.00 | 3.68 | 1.92 |
time (sec) |
N/A | 0.186 | 0.226 | 0.395 | 0.298 | 1.501 | 0.000 | 2.562 | 1.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 110 | 118 | 337 | 157 | 0 | 550 | 306 |
N.S. | 1 | 1.00 | 0.65 | 0.69 | 1.98 | 0.92 | 0.00 | 3.24 | 1.80 |
time (sec) |
N/A | 0.217 | 0.260 | 0.389 | 0.287 | 1.816 | 0.000 | 2.740 | 2.503 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 132 | 142 | 385 | 181 | 0 | 582 | 356 |
N.S. | 1 | 1.00 | 0.64 | 0.69 | 1.86 | 0.87 | 0.00 | 2.81 | 1.72 |
time (sec) |
N/A | 0.241 | 0.320 | 0.687 | 0.292 | 1.609 | 0.000 | 5.364 | 3.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 113 | 115 | 150 | 154 | 0 | 175 | 143 |
N.S. | 1 | 1.00 | 0.67 | 0.68 | 0.89 | 0.92 | 0.00 | 1.04 | 0.85 |
time (sec) |
N/A | 0.198 | 0.076 | 0.392 | 0.289 | 1.503 | 0.000 | 0.874 | 0.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 94 | 91 | 128 | 131 | 0 | 140 | 124 |
N.S. | 1 | 1.00 | 0.72 | 0.69 | 0.98 | 1.00 | 0.00 | 1.07 | 0.95 |
time (sec) |
N/A | 0.163 | 0.065 | 0.368 | 0.297 | 1.578 | 0.000 | 1.062 | 0.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 70 | 67 | 105 | 106 | 0 | 105 | 103 |
N.S. | 1 | 1.00 | 0.73 | 0.70 | 1.09 | 1.10 | 0.00 | 1.09 | 1.07 |
time (sec) |
N/A | 0.048 | 0.048 | 0.395 | 0.288 | 1.588 | 0.000 | 1.499 | 0.255 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 41 | 45 | 80 | 80 | 0 | 72 | 83 |
N.S. | 1 | 1.00 | 0.67 | 0.74 | 1.31 | 1.31 | 0.00 | 1.18 | 1.36 |
time (sec) |
N/A | 0.107 | 0.032 | 0.363 | 0.277 | 1.579 | 0.000 | 1.342 | 0.229 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 108 | 99 | 0 | 206 | 0 | 140 | -1 |
N.S. | 1 | 1.00 | 1.06 | 0.97 | 0.00 | 2.02 | 0.00 | 1.37 | -0.01 |
time (sec) |
N/A | 0.142 | 0.119 | 0.360 | 0.000 | 1.603 | 0.000 | 1.524 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 109 | 172 | 0 | 195 | 0 | 115 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.29 | 0.00 | 1.47 | 0.00 | 0.86 | -0.01 |
time (sec) |
N/A | 0.150 | 0.136 | 0.396 | 0.000 | 1.712 | 0.000 | 1.191 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 114 | 213 | 0 | 217 | 0 | 145 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.58 | 0.00 | 1.61 | 0.00 | 1.07 | -0.01 |
time (sec) |
N/A | 0.159 | 0.154 | 0.383 | 0.000 | 1.448 | 0.000 | 0.972 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 132 | 259 | 0 | 250 | 0 | 175 | -1 |
N.S. | 1 | 1.00 | 0.94 | 1.85 | 0.00 | 1.79 | 0.00 | 1.25 | -0.01 |
time (sec) |
N/A | 0.145 | 0.212 | 0.399 | 0.000 | 1.675 | 0.000 | 1.058 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 154 | 302 | 0 | 299 | 0 | 214 | -1 |
N.S. | 1 | 1.00 | 0.87 | 1.71 | 0.00 | 1.69 | 0.00 | 1.21 | -0.01 |
time (sec) |
N/A | 0.180 | 0.267 | 0.394 | 0.000 | 1.473 | 0.000 | 1.250 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 172 | 344 | 0 | 345 | 0 | 234 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.61 | 0.00 | 1.61 | 0.00 | 1.09 | -0.00 |
time (sec) |
N/A | 0.226 | 0.335 | 0.398 | 0.000 | 1.436 | 0.000 | 0.943 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 198 | 386 | 0 | 393 | 0 | 294 | -1 |
N.S. | 1 | 1.00 | 0.79 | 1.54 | 0.00 | 1.57 | 0.00 | 1.17 | -0.00 |
time (sec) |
N/A | 0.258 | 0.363 | 0.405 | 0.000 | 3.391 | 0.000 | 1.214 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 147 | 211 | 231 | 275 | 0 | 184 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.20 | 1.31 | 1.56 | 0.00 | 1.05 | -0.01 |
time (sec) |
N/A | 0.205 | 0.179 | 0.394 | 0.287 | 2.423 | 0.000 | 0.694 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 125 | 169 | 183 | 226 | 0 | 150 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.22 | 1.32 | 1.63 | 0.00 | 1.08 | -0.01 |
time (sec) |
N/A | 0.178 | 0.147 | 0.443 | 0.283 | 1.414 | 0.000 | 0.705 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 99 | 127 | 134 | 177 | 0 | 112 | -1 |
N.S. | 1 | 1.00 | 1.19 | 1.53 | 1.61 | 2.13 | 0.00 | 1.35 | -0.01 |
time (sec) |
N/A | 0.112 | 0.104 | 0.392 | 0.288 | 1.669 | 0.000 | 0.616 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 82 | 88 | 88 | 131 | 0 | 77 | 89 |
N.S. | 1 | 1.00 | 1.24 | 1.33 | 1.33 | 1.98 | 0.00 | 1.17 | 1.35 |
time (sec) |
N/A | 0.085 | 0.063 | 0.401 | 0.306 | 0.925 | 0.000 | 0.929 | 0.814 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 77 | 67 | 56 | 136 | 0 | 66 | 57 |
N.S. | 1 | 1.00 | 1.35 | 1.18 | 0.98 | 2.39 | 0.00 | 1.16 | 1.00 |
time (sec) |
N/A | 0.095 | 0.063 | 0.384 | 0.312 | 1.670 | 0.000 | 0.564 | 0.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 43 | 47 | 70 | 38 | 0 | 124 | 39 |
N.S. | 1 | 1.00 | 0.70 | 0.77 | 1.15 | 0.62 | 0.00 | 2.03 | 0.64 |
time (sec) |
N/A | 0.105 | 0.075 | 0.389 | 0.277 | 0.908 | 0.000 | 0.662 | 0.197 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 64 | 70 | 119 | 62 | 0 | 180 | 62 |
N.S. | 1 | 1.00 | 0.67 | 0.73 | 1.24 | 0.65 | 0.00 | 1.88 | 0.65 |
time (sec) |
N/A | 0.136 | 0.097 | 0.378 | 0.338 | 1.667 | 0.000 | 0.760 | 0.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 89 | 94 | 167 | 86 | 0 | 236 | 121 |
N.S. | 1 | 1.00 | 0.67 | 0.71 | 1.26 | 0.65 | 0.00 | 1.77 | 0.91 |
time (sec) |
N/A | 0.167 | 0.118 | 0.387 | 0.406 | 1.280 | 0.000 | 1.081 | 0.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 110 | 118 | 215 | 110 | 0 | 292 | 156 |
N.S. | 1 | 1.00 | 0.65 | 0.69 | 1.26 | 0.65 | 0.00 | 1.72 | 0.92 |
time (sec) |
N/A | 0.193 | 0.141 | 0.390 | 0.275 | 1.740 | 0.000 | 1.443 | 0.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 85 | 89 | 106 | 83 | 0 | 130 | 87 |
N.S. | 1 | 1.00 | 0.65 | 0.68 | 0.81 | 0.63 | 0.00 | 0.99 | 0.66 |
time (sec) |
N/A | 0.155 | 0.057 | 0.373 | 0.283 | 1.018 | 0.000 | 0.474 | 0.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 63 | 65 | 83 | 59 | 0 | 98 | 64 |
N.S. | 1 | 1.00 | 0.67 | 0.69 | 0.88 | 0.63 | 0.00 | 1.04 | 0.68 |
time (sec) |
N/A | 0.116 | 0.042 | 0.377 | 0.285 | 1.377 | 0.000 | 0.515 | 0.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 40 | 42 | 50 | 36 | 0 | 67 | 41 |
N.S. | 1 | 1.00 | 0.68 | 0.71 | 0.85 | 0.61 | 0.00 | 1.14 | 0.69 |
time (sec) |
N/A | 0.085 | 0.029 | 0.372 | 0.288 | 0.882 | 0.000 | 0.480 | 0.187 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 73 | 72 | 0 | 138 | 0 | 80 | -1 |
N.S. | 1 | 1.00 | 1.33 | 1.31 | 0.00 | 2.51 | 0.00 | 1.45 | -0.02 |
time (sec) |
N/A | 0.014 | 0.046 | 0.372 | 0.000 | 1.291 | 0.000 | 0.475 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 86 | 105 | 0 | 152 | 0 | 66 | -1 |
N.S. | 1 | 1.00 | 1.26 | 1.54 | 0.00 | 2.24 | 0.00 | 0.97 | -0.01 |
time (sec) |
N/A | 0.074 | 0.081 | 0.523 | 0.000 | 1.723 | 0.000 | 0.500 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 104 | 146 | 0 | 199 | 0 | 125 | -1 |
N.S. | 1 | 1.00 | 1.01 | 1.42 | 0.00 | 1.93 | 0.00 | 1.21 | -0.01 |
time (sec) |
N/A | 0.103 | 0.120 | 0.445 | 0.000 | 1.041 | 0.000 | 0.473 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 139 | 166 | 237 | 340 | 0 | 183 | -1 |
N.S. | 1 | 1.00 | 0.76 | 0.90 | 1.29 | 1.85 | 0.00 | 0.99 | -0.01 |
time (sec) |
N/A | 0.217 | 0.192 | 0.388 | 0.283 | 1.063 | 0.000 | 0.475 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 114 | 140 | 187 | 289 | 0 | 145 | -1 |
N.S. | 1 | 1.00 | 0.78 | 0.95 | 1.27 | 1.97 | 0.00 | 0.99 | -0.01 |
time (sec) |
N/A | 0.180 | 0.155 | 0.391 | 0.281 | 1.205 | 0.000 | 0.465 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 90 | 114 | 138 | 230 | 0 | 104 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.02 | 1.23 | 2.05 | 0.00 | 0.93 | -0.01 |
time (sec) |
N/A | 0.153 | 0.121 | 0.395 | 0.281 | 2.558 | 0.000 | 0.428 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 77 | 75 | 79 | 188 | 0 | 70 | 78 |
N.S. | 1 | 1.00 | 1.15 | 1.12 | 1.18 | 2.81 | 0.00 | 1.04 | 1.16 |
time (sec) |
N/A | 0.109 | 0.079 | 0.367 | 0.287 | 2.740 | 0.000 | 0.439 | 0.633 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 47 | 65 | 49 | 0 | 65 | 53 |
N.S. | 1 | 1.00 | 1.00 | 1.27 | 1.76 | 1.32 | 0.00 | 1.76 | 1.43 |
time (sec) |
N/A | 0.078 | 0.067 | 0.388 | 0.287 | 1.862 | 0.000 | 0.462 | 0.181 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 64 | 66 | 112 | 72 | 0 | 189 | 70 |
N.S. | 1 | 1.00 | 0.97 | 1.00 | 1.70 | 1.09 | 0.00 | 2.86 | 1.06 |
time (sec) |
N/A | 0.104 | 0.100 | 0.387 | 0.284 | 1.388 | 0.000 | 0.669 | 0.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 85 | 94 | 160 | 98 | 0 | 302 | 95 |
N.S. | 1 | 1.00 | 0.84 | 0.93 | 1.58 | 0.97 | 0.00 | 2.99 | 0.94 |
time (sec) |
N/A | 0.140 | 0.131 | 0.392 | 0.288 | 1.798 | 0.000 | 1.258 | 0.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 108 | 118 | 208 | 121 | 0 | 415 | 173 |
N.S. | 1 | 1.00 | 0.78 | 0.86 | 1.51 | 0.88 | 0.00 | 3.01 | 1.25 |
time (sec) |
N/A | 0.173 | 0.158 | 0.391 | 0.282 | 0.997 | 0.000 | 2.027 | 0.559 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 82 | 91 | 82 | 93 | 0 | 145 | 92 |
N.S. | 1 | 1.00 | 0.59 | 0.65 | 0.59 | 0.67 | 0.00 | 1.04 | 0.66 |
time (sec) |
N/A | 0.162 | 0.059 | 0.385 | 0.280 | 1.839 | 0.000 | 0.837 | 0.397 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 60 | 66 | 59 | 68 | 0 | 107 | 67 |
N.S. | 1 | 1.00 | 0.58 | 0.63 | 0.57 | 0.65 | 0.00 | 1.03 | 0.64 |
time (sec) |
N/A | 0.131 | 0.044 | 0.376 | 0.287 | 1.476 | 0.000 | 1.392 | 0.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 35 | 44 | 39 | 45 | 0 | 63 | 44 |
N.S. | 1 | 1.00 | 0.51 | 0.64 | 0.57 | 0.65 | 0.00 | 0.91 | 0.64 |
time (sec) |
N/A | 0.095 | 0.030 | 0.379 | 0.281 | 1.563 | 0.000 | 1.236 | 0.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 73 | 79 | 0 | 199 | 0 | 109 | -1 |
N.S. | 1 | 1.00 | 1.14 | 1.23 | 0.00 | 3.11 | 0.00 | 1.70 | -0.02 |
time (sec) |
N/A | 0.087 | 0.067 | 0.534 | 0.000 | 1.655 | 0.000 | 0.925 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 96 | 130 | 0 | 260 | 0 | 107 | -1 |
N.S. | 1 | 1.00 | 0.68 | 0.92 | 0.00 | 1.83 | 0.00 | 0.75 | -0.01 |
time (sec) |
N/A | 0.057 | 0.110 | 0.447 | 0.000 | 1.635 | 0.000 | 0.637 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 117 | 157 | 0 | 315 | 0 | 149 | 89 |
N.S. | 1 | 1.00 | 0.85 | 1.15 | 0.00 | 2.30 | 0.00 | 1.09 | 0.65 |
time (sec) |
N/A | 0.124 | 0.160 | 0.397 | 0.000 | 1.178 | 0.000 | 0.519 | 1.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 35 | 28 | 27 | 32 | 46 | 29 | 31 |
N.S. | 1 | 1.00 | 0.90 | 0.72 | 0.69 | 0.82 | 1.18 | 0.74 | 0.79 |
time (sec) |
N/A | 0.014 | 0.024 | 0.142 | 0.268 | 1.362 | 1.088 | 0.464 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 35 | 28 | 27 | 32 | 46 | 29 | 31 |
N.S. | 1 | 1.00 | 0.90 | 0.72 | 0.69 | 0.82 | 1.18 | 0.74 | 0.79 |
time (sec) |
N/A | 0.014 | 0.026 | 0.135 | 0.264 | 2.259 | 0.731 | 0.469 | 0.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 41 | 28 | 27 | 32 | 46 | 29 | 31 |
N.S. | 1 | 1.00 | 1.05 | 0.72 | 0.69 | 0.82 | 1.18 | 0.74 | 0.79 |
time (sec) |
N/A | 0.014 | 0.021 | 0.126 | 0.263 | 2.496 | 0.472 | 0.469 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 35 | 28 | 27 | 32 | 37 | 29 | 31 |
N.S. | 1 | 1.00 | 0.90 | 0.72 | 0.69 | 0.82 | 0.95 | 0.74 | 0.79 |
time (sec) |
N/A | 0.015 | 0.022 | 0.136 | 0.267 | 1.879 | 1.117 | 0.452 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 35 | 28 | 27 | 32 | 46 | 29 | 31 |
N.S. | 1 | 1.00 | 0.90 | 0.72 | 0.69 | 0.82 | 1.18 | 0.74 | 0.79 |
time (sec) |
N/A | 0.015 | 0.019 | 0.130 | 0.268 | 1.748 | 0.269 | 0.456 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 35 | 28 | 27 | 30 | 46 | 29 | 31 |
N.S. | 1 | 1.00 | 0.90 | 0.72 | 0.69 | 0.77 | 1.18 | 0.74 | 0.79 |
time (sec) |
N/A | 0.015 | 0.019 | 0.128 | 0.268 | 1.869 | 0.317 | 0.462 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 35 | 28 | 27 | 29 | 44 | 29 | 31 |
N.S. | 1 | 1.00 | 0.95 | 0.76 | 0.73 | 0.78 | 1.19 | 0.78 | 0.84 |
time (sec) |
N/A | 0.015 | 0.022 | 0.129 | 0.266 | 1.630 | 0.367 | 0.569 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 35 | 30 | 27 | 29 | 44 | 29 | 31 |
N.S. | 1 | 1.00 | 0.95 | 0.81 | 0.73 | 0.78 | 1.19 | 0.78 | 0.84 |
time (sec) |
N/A | 0.014 | 0.024 | 0.059 | 0.268 | 1.929 | 0.541 | 0.570 | 0.103 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 52 | 51 | 56 | 80 | 53 | 51 |
N.S. | 1 | 1.00 | 0.97 | 0.83 | 0.81 | 0.89 | 1.27 | 0.84 | 0.81 |
time (sec) |
N/A | 0.026 | 0.036 | 0.349 | 0.267 | 1.871 | 2.236 | 0.486 | 0.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 52 | 51 | 56 | 80 | 53 | 51 |
N.S. | 1 | 1.00 | 0.97 | 0.83 | 0.81 | 0.89 | 1.27 | 0.84 | 0.81 |
time (sec) |
N/A | 0.026 | 0.034 | 0.362 | 0.272 | 1.605 | 1.567 | 0.443 | 0.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 52 | 51 | 56 | 80 | 53 | 51 |
N.S. | 1 | 1.00 | 0.97 | 0.83 | 0.81 | 0.89 | 1.27 | 0.84 | 0.81 |
time (sec) |
N/A | 0.027 | 0.033 | 0.354 | 0.267 | 1.548 | 1.097 | 0.465 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 52 | 51 | 56 | 66 | 53 | 51 |
N.S. | 1 | 1.00 | 0.97 | 0.83 | 0.81 | 0.89 | 1.05 | 0.84 | 0.81 |
time (sec) |
N/A | 0.026 | 0.032 | 0.387 | 0.266 | 1.682 | 1.781 | 0.460 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 52 | 51 | 56 | 80 | 53 | 51 |
N.S. | 1 | 1.00 | 0.97 | 0.83 | 0.81 | 0.89 | 1.27 | 0.84 | 0.81 |
time (sec) |
N/A | 0.027 | 0.032 | 0.359 | 0.264 | 1.744 | 0.742 | 0.444 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 52 | 51 | 56 | 80 | 53 | 51 |
N.S. | 1 | 1.00 | 0.97 | 0.83 | 0.81 | 0.89 | 1.27 | 0.84 | 0.81 |
time (sec) |
N/A | 0.027 | 0.032 | 0.352 | 0.270 | 1.627 | 0.861 | 0.468 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 52 | 51 | 56 | 80 | 53 | 51 |
N.S. | 1 | 1.00 | 0.97 | 0.83 | 0.81 | 0.89 | 1.27 | 0.84 | 0.81 |
time (sec) |
N/A | 0.029 | 0.034 | 0.357 | 0.263 | 1.550 | 1.018 | 0.428 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 60 | 52 | 51 | 54 | 80 | 53 | 51 |
N.S. | 1 | 1.00 | 0.95 | 0.83 | 0.81 | 0.86 | 1.27 | 0.84 | 0.81 |
time (sec) |
N/A | 0.026 | 0.031 | 0.350 | 0.266 | 1.938 | 1.316 | 0.435 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 85 | 76 | 73 | 78 | 114 | 77 | 69 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.86 | 0.92 | 1.34 | 0.91 | 0.81 |
time (sec) |
N/A | 0.035 | 0.072 | 0.358 | 0.267 | 1.828 | 3.957 | 0.463 | 0.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 85 | 76 | 73 | 78 | 114 | 77 | 69 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.86 | 0.92 | 1.34 | 0.91 | 0.81 |
time (sec) |
N/A | 0.034 | 0.070 | 0.365 | 0.266 | 2.192 | 2.920 | 0.441 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 97 | 76 | 73 | 78 | 114 | 77 | 69 |
N.S. | 1 | 1.00 | 1.14 | 0.89 | 0.86 | 0.92 | 1.34 | 0.91 | 0.81 |
time (sec) |
N/A | 0.033 | 0.047 | 0.363 | 0.266 | 1.428 | 2.192 | 0.470 | 0.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 83 | 76 | 73 | 78 | 95 | 77 | 69 |
N.S. | 1 | 1.00 | 0.98 | 0.89 | 0.86 | 0.92 | 1.12 | 0.91 | 0.81 |
time (sec) |
N/A | 0.034 | 0.048 | 0.354 | 0.321 | 1.832 | 2.649 | 0.428 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 83 | 76 | 73 | 78 | 114 | 77 | 69 |
N.S. | 1 | 1.00 | 0.98 | 0.89 | 0.86 | 0.92 | 1.34 | 0.91 | 0.81 |
time (sec) |
N/A | 0.034 | 0.048 | 0.365 | 0.322 | 1.352 | 1.627 | 0.477 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 83 | 76 | 73 | 78 | 114 | 77 | 69 |
N.S. | 1 | 1.00 | 0.98 | 0.89 | 0.86 | 0.92 | 1.34 | 0.91 | 0.81 |
time (sec) |
N/A | 0.034 | 0.043 | 0.352 | 0.265 | 1.691 | 1.883 | 0.433 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 83 | 76 | 73 | 78 | 114 | 77 | 69 |
N.S. | 1 | 1.00 | 0.98 | 0.89 | 0.86 | 0.92 | 1.34 | 0.91 | 0.81 |
time (sec) |
N/A | 0.033 | 0.044 | 0.354 | 0.274 | 1.574 | 2.020 | 0.464 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 83 | 76 | 73 | 78 | 114 | 77 | 69 |
N.S. | 1 | 1.00 | 0.98 | 0.89 | 0.86 | 0.92 | 1.34 | 0.91 | 0.81 |
time (sec) |
N/A | 0.034 | 0.041 | 0.358 | 0.297 | 3.025 | 2.391 | 0.446 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 172 | 165 | 237 | 920 | 0 | 298 | 115 |
N.S. |
1 | 1.00 | 0.62 | 0.59 | 0.85 | 3.31 | 0.00 | 1.07 | 0.41 |
time (sec) |
N/A | 0.188 | 0.216 | 0.446 | 0.490 | 2.488 | 0.000 | 0.486 | 0.227 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 173 | 164 | 259 | 714 | 0 | 298 | 788 |
N.S. |
1 | 1.00 | 0.63 | 0.59 | 0.94 | 2.59 | 0.00 | 1.08 | 2.86 |
time (sec) |
N/A | 0.173 | 0.233 | 0.376 | 0.493 | 2.033 | 0.000 | 0.441 | 0.252 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 152 | 142 | 214 | 899 | 0 | 264 | 92 |
N.S. |
1 | 1.00 | 0.59 | 0.55 | 0.83 | 3.50 | 0.00 | 1.03 | 0.36 |
time (sec) |
N/A | 0.144 | 0.172 | 0.417 | 0.534 | 2.845 | 0.000 | 0.428 | 0.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 150 | 141 | 235 | 660 | 275 | 263 | 789 |
N.S. | 1 | 1.00 | 0.59 | 0.55 | 0.92 | 2.59 | 1.08 | 1.03 | 3.09 |
time (sec) |
N/A | 0.141 | 0.171 | 0.389 | 0.514 | 2.486 | 104.003 | 0.438 | 0.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 135 | 124 | 194 | 834 | 303 | 251 | 71 |
N.S. | 1 | 1.00 | 0.57 | 0.52 | 0.82 | 3.52 | 1.28 | 1.06 | 0.30 |
time (sec) |
N/A | 0.124 | 0.154 | 0.396 | 0.520 | 2.083 | 38.972 | 0.442 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 134 | 127 | 218 | 645 | 238 | 251 | 739 |
N.S. | 1 | 1.00 | 0.57 | 0.54 | 0.93 | 2.74 | 1.01 | 1.07 | 3.14 |
time (sec) |
N/A | 0.126 | 0.151 | 0.377 | 0.519 | 2.515 | 16.399 | 0.432 | 0.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 135 | 127 | 194 | 843 | 309 | 251 | 71 |
N.S. | 1 | 1.00 | 0.57 | 0.54 | 0.83 | 3.59 | 1.31 | 1.07 | 0.30 |
time (sec) |
N/A | 0.131 | 0.195 | 0.410 | 0.536 | 2.966 | 8.918 | 0.440 | 0.222 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 136 | 124 | 218 | 653 | 257 | 251 | 811 |
N.S. | 1 | 1.00 | 0.57 | 0.52 | 0.92 | 2.76 | 1.08 | 1.06 | 3.42 |
time (sec) |
N/A | 0.129 | 0.201 | 0.400 | 0.500 | 2.938 | 14.198 | 0.428 | 0.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 152 | 140 | 213 | 883 | 258 | 268 | 90 |
N.S. | 1 | 1.00 | 0.60 | 0.55 | 0.84 | 3.46 | 1.01 | 1.05 | 0.35 |
time (sec) |
N/A | 0.145 | 0.199 | 0.397 | 0.532 | 2.499 | 71.031 | 0.510 | 0.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 154 | 141 | 247 | 707 | 303 | 257 | 555 |
N.S. | 1 | 1.00 | 0.60 | 0.55 | 0.96 | 2.75 | 1.18 | 1.00 | 2.16 |
time (sec) |
N/A | 0.147 | 0.210 | 0.397 | 0.494 | 2.657 | 70.478 | 0.520 | 0.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 174 | 158 | 237 | 931 | 0 | 291 | 107 |
N.S. |
1 | 1.00 | 0.63 | 0.57 | 0.86 | 3.37 | 0.00 | 1.05 | 0.39 |
time (sec) |
N/A | 0.167 | 0.247 | 0.402 | 0.512 | 2.462 | 0.000 | 0.472 | 0.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 176 | 160 | 276 | 734 | 0 | 291 | 563 |
N.S. |
1 | 1.00 | 0.63 | 0.58 | 0.99 | 2.64 | 0.00 | 1.05 | 2.03 |
time (sec) |
N/A | 0.164 | 0.250 | 0.400 | 0.546 | 2.716 | 0.000 | 0.595 | 0.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 332 | 332 | 206 | 196 | 298 | 804 | 0 | 335 | 857 |
N.S. |
1 | 1.00 | 0.62 | 0.59 | 0.90 | 2.42 | 0.00 | 1.01 | 2.58 |
time (sec) |
N/A | 0.185 | 0.535 | 0.553 | 0.522 | 2.631 | 0.000 | 0.443 | 0.219 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 184 | 171 | 247 | 989 | 0 | 299 | 127 |
N.S. |
1 | 1.00 | 0.59 | 0.55 | 0.80 | 3.19 | 0.00 | 0.96 | 0.41 |
time (sec) |
N/A | 0.165 | 0.509 | 0.504 | 0.493 | 2.789 | 0.000 | 0.434 | 0.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 183 | 171 | 271 | 748 | 0 | 298 | 823 |
N.S. |
1 | 1.00 | 0.59 | 0.55 | 0.87 | 2.41 | 0.00 | 0.96 | 2.65 |
time (sec) |
N/A | 0.163 | 0.509 | 0.408 | 0.537 | 2.041 | 0.000 | 0.438 | 0.259 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 162 | 153 | 223 | 925 | 0 | 283 | 106 |
N.S. |
1 | 1.00 | 0.56 | 0.53 | 0.77 | 3.20 | 0.00 | 0.98 | 0.37 |
time (sec) |
N/A | 0.148 | 0.512 | 0.413 | 0.486 | 1.691 | 0.000 | 0.468 | 0.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 161 | 152 | 250 | 725 | 0 | 283 | 744 |
N.S. |
1 | 1.00 | 0.56 | 0.53 | 0.87 | 2.51 | 0.00 | 0.98 | 2.57 |
time (sec) |
N/A | 0.150 | 0.498 | 0.407 | 0.529 | 1.925 | 0.000 | 0.450 | 0.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 152 | 146 | 217 | 912 | 0 | 273 | 91 |
N.S. |
1 | 1.00 | 0.58 | 0.56 | 0.83 | 3.49 | 0.00 | 1.05 | 0.35 |
time (sec) |
N/A | 0.130 | 0.469 | 0.386 | 0.547 | 1.900 | 0.000 | 0.505 | 0.229 |