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 | B | A | C | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 1120 | 263 | 1487 | 470 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.18 | 0.98 | 5.55 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.791 | 6.535 | 0.771 | 0.271 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 430 | 430 | 3835 | 430 | 4343 | 865 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.92 | 1.00 | 10.10 | 2.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.126 | 7.203 | 1.829 | 0.319 | 0.293 | 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 | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 324 | 217 | 1054 | 379 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.52 | 1.02 | 4.95 | 1.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.859 | 1.607 | 0.564 | 0.267 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 26 | 26 | 25 | 28 | 114 | 33 | 25 |
N.S. |
1 | 1.00 | 0.72 | 0.72 | 0.69 | 0.78 | 3.17 | 0.92 | 0.69 |
time (sec) |
N/A | 0.175 | 0.060 | 0.313 | 0.216 | 0.228 | 0.235 | 0.252 | 0.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 109 | 86 | 100 | 260 | 0 | 127 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.75 | 0.87 | 2.26 | 0.00 | 1.10 | 0.00 |
time (sec) |
N/A | 0.270 | 0.153 | 0.307 | 0.220 | 0.262 | 0.000 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 135 | 117 | 131 | 229 | 0 | 147 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.81 | 0.91 | 1.59 | 0.00 | 1.02 | 0.00 |
time (sec) |
N/A | 0.359 | 0.184 | 0.342 | 0.239 | 0.262 | 0.000 | 0.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 82 | 54 | 52 | 46 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.70 | 0.68 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.235 | 0.057 | 0.207 | 0.229 | 0.246 | 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 | 83 | 83 | 107 | 60 | 133 | 84 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 0.72 | 1.60 | 1.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.254 | 0.177 | 0.319 | 0.220 | 0.248 | 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 | 151 | 151 | 166 | 127 | 474 | 164 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.84 | 3.14 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.355 | 0.423 | 0.386 | 0.219 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 133 | 114 | 147 | 265 | 0 | 300 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.80 | 1.04 | 1.87 | 0.00 | 2.11 | 0.00 |
time (sec) |
N/A | 0.357 | 0.186 | 0.463 | 0.220 | 0.257 | 0.000 | 0.320 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 158 | 139 | 186 | 270 | 0 | 521 | 0 |
N.S. |
1 | 1.00 | 1.01 | 0.89 | 1.18 | 1.72 | 0.00 | 3.32 | 0.00 |
time (sec) |
N/A | 0.355 | 0.790 | 0.804 | 0.307 | 0.244 | 0.000 | 0.336 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 267 | 235 | 302 | 525 | 0 | 595 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.79 | 1.01 | 1.76 | 0.00 | 2.00 | 0.00 |
time (sec) |
N/A | 0.535 | 0.657 | 1.548 | 0.327 | 0.265 | 0.000 | 0.377 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 163 | 154 | 190 | 313 | 0 | 378 | 0 |
N.S. |
1 | 1.00 | 1.01 | 0.95 | 1.17 | 1.93 | 0.00 | 2.33 | 0.00 |
time (sec) |
N/A | 0.444 | 0.273 | 0.473 | 0.229 | 0.255 | 0.000 | 0.343 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 245 | 179 | 240 | 326 | 0 | 599 | 0 |
N.S. |
1 | 1.00 | 1.37 | 1.00 | 1.34 | 1.82 | 0.00 | 3.35 | 0.00 |
time (sec) |
N/A | 0.453 | 0.807 | 0.983 | 0.318 | 0.257 | 0.000 | 0.367 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 340 | 340 | 322 | 315 | 377 | 629 | 0 | 751 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.93 | 1.11 | 1.85 | 0.00 | 2.21 | 0.00 |
time (sec) |
N/A | 0.777 | 1.105 | 1.822 | 0.342 | 0.268 | 0.000 | 0.488 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 116 | 121 | 204 | 142 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.82 | 1.39 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.369 | 0.122 | 0.413 | 0.238 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 131 | 145 | 236 | 159 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.85 | 1.38 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.380 | 0.193 | 0.650 | 0.237 | 0.252 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 218 | 242 | 406 | 280 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.83 | 1.39 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.512 | 0.343 | 1.514 | 0.264 | 0.259 | 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 | 103 | 103 | 170 | 82 | 205 | 109 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.65 | 0.80 | 1.99 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 0.363 | 0.406 | 0.254 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 189 | 107 | 315 | 167 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.35 | 0.76 | 2.25 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 0.624 | 0.641 | 0.239 | 0.245 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 389 | 162 | 667 | 311 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.90 | 0.79 | 3.25 | 1.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.513 | 1.648 | 1.349 | 0.254 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 217 | 167 | 761 | 301 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 0.91 | 4.16 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 0.682 | 0.457 | 0.250 | 0.263 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 252 | 191 | 863 | 361 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 0.91 | 4.09 | 1.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 1.674 | 0.823 | 0.247 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 492 | 334 | 2180 | 707 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.33 | 0.91 | 5.91 | 1.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.817 | 4.965 | 1.894 | 0.302 | 0.309 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 151 | 170 | 354 | 176 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.99 | 2.06 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.466 | 0.236 | 0.484 | 0.252 | 0.248 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 204 | 218 | 399 | 224 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.94 | 1.73 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.527 | 0.417 | 0.739 | 0.256 | 0.249 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 346 | 346 | 386 | 340 | 680 | 344 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.98 | 1.97 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.647 | 0.666 | 1.644 | 0.288 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 231 | 178 | 648 | 311 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 0.94 | 3.43 | 1.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.512 | 0.733 | 0.431 | 0.252 | 0.264 | 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 | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 301 | 227 | 997 | 402 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.23 | 0.93 | 4.07 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.593 | 2.280 | 0.845 | 0.274 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 378 | 378 | 3285 | 354 | 2456 | 725 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.69 | 0.94 | 6.50 | 1.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.797 | 7.579 | 1.704 | 0.280 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 348 | 214 | 1008 | 377 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.67 | 1.03 | 4.85 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.599 | 1.749 | 0.492 | 0.251 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | C | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 1118 | 263 | 1487 | 470 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.17 | 0.98 | 5.55 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.780 | 6.585 | 0.902 | 0.278 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 422 | 422 | 3829 | 426 | 4348 | 859 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.07 | 1.01 | 10.30 | 2.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.109 | 6.983 | 2.165 | 0.305 | 0.304 | 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 | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 325 | 215 | 1058 | 381 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.56 | 1.03 | 5.06 | 1.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.756 | 1.643 | 0.562 | 0.272 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 231 | 180 | 194 | 581 | 256 | 2465 | 1738 | 248 |
N.S. |
1 | 0.94 | 0.73 | 0.79 | 2.37 | 1.04 | 10.06 | 7.09 | 1.01 |
time (sec) |
N/A | 0.580 | 7.276 | 1.641 | 0.258 | 0.279 | 1.749 | 0.368 | 27.566 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 98 | 83 | 84 | 218 | 83 | 542 | 923 | 84 |
N.S. |
1 | 0.99 | 0.84 | 0.85 | 2.20 | 0.84 | 5.47 | 9.32 | 0.85 |
time (sec) |
N/A | 0.381 | 0.840 | 0.566 | 0.216 | 0.239 | 0.548 | 0.311 | 25.804 |
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 | 80 | 80 | 128 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.264 | 3.872 | 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 | 184 | 197 | 240 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 3.211 | 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 | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 231 | 228 | 193 | 578 | 242 | 2394 | 1736 | 247 |
N.S. |
1 | 0.94 | 0.93 | 0.79 | 2.36 | 0.99 | 9.77 | 7.09 | 1.01 |
time (sec) |
N/A | 0.551 | 0.706 | 1.438 | 0.242 | 0.259 | 1.970 | 0.363 | 27.284 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 97 | 82 | 83 | 216 | 80 | 478 | 920 | 83 |
N.S. |
1 | 0.99 | 0.84 | 0.85 | 2.20 | 0.82 | 4.88 | 9.39 | 0.85 |
time (sec) |
N/A | 0.374 | 0.517 | 0.560 | 0.223 | 0.243 | 0.553 | 0.310 | 26.702 |
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 | 79 | 79 | 80 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 0.060 | 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 | 169 | 181 | 145 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.385 | 0.317 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |