Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 290 | 293 | 198 | 2299 | 0 | 266 | 0 | 430 | 0 |
N.S. |
1 | 1.01 | 0.68 | 7.93 | 0.00 | 0.92 | 0.00 | 1.48 | 0.00 |
time (sec) |
N/A | 1.739 | 1.788 | 4.631 | 0.000 | 0.339 | 0.000 | 1.545 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 273 | 121 | 340 | 0 | 191 | 0 | 247 | 0 |
N.S. |
1 | 1.16 | 0.51 | 1.44 | 0.00 | 0.81 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 1.683 | 0.476 | 7.358 | 0.000 | 0.274 | 0.000 | 1.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 218 | 89 | 253 | 715643 | 173 | 0 | 183 | 0 |
N.S. |
1 | 1.13 | 0.46 | 1.31 | 3707.99 | 0.90 | 0.00 | 0.95 | 0.00 |
time (sec) |
N/A | 1.245 | 0.246 | 6.078 | 21.288 | 0.282 | 0.000 | 0.700 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 166 | 87 | 247 | 927467 | 157 | 0 | 179 | 0 |
N.S. |
1 | 1.09 | 0.57 | 1.62 | 6101.76 | 1.03 | 0.00 | 1.18 | 0.00 |
time (sec) |
N/A | 0.875 | 0.171 | 6.562 | 19.409 | 0.276 | 0.000 | 0.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 117 | 63 | 173 | 19528 | 142 | 0 | 126 | 139 |
N.S. |
1 | 1.07 | 0.58 | 1.59 | 179.16 | 1.30 | 0.00 | 1.16 | 1.28 |
time (sec) |
N/A | 0.491 | 0.072 | 5.268 | 0.885 | 0.282 | 0.000 | 0.316 | 1.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 120 | 83 | 297 | 18949 | 221 | 0 | 181 | 0 |
N.S. |
1 | 1.04 | 0.72 | 2.58 | 164.77 | 1.92 | 0.00 | 1.57 | 0.00 |
time (sec) |
N/A | 0.715 | 0.188 | 8.378 | 0.719 | 0.290 | 0.000 | 0.428 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 122 | 89 | 557 | 18526 | 247 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.79 | 4.93 | 163.95 | 2.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.745 | 0.233 | 7.276 | 0.652 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 171 | 113 | 910 | 57774 | 276 | 0 | 244 | 0 |
N.S. |
1 | 1.08 | 0.71 | 5.72 | 363.36 | 1.74 | 0.00 | 1.53 | 0.00 |
time (sec) |
N/A | 1.049 | 0.512 | 9.732 | 2.781 | 0.334 | 0.000 | 0.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 200 | 224 | 131 | 1358 | 0 | 295 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.66 | 6.79 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.375 | 0.964 | 10.635 | 0.000 | 0.321 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 243 | 277 | 174 | 1776 | 657419 | 312 | 0 | 346 | 0 |
N.S. |
1 | 1.14 | 0.72 | 7.31 | 2705.43 | 1.28 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 1.762 | 1.363 | 11.983 | 286.606 | 0.340 | 0.000 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 259 | 285 | 157 | 477 | 0 | 235 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.61 | 1.84 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.755 | 0.707 | 7.276 | 0.000 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 226 | 136 | 413 | 0 | 218 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.64 | 1.93 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.357 | 0.443 | 6.949 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 178 | 94 | 292 | 0 | 201 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.56 | 1.73 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.925 | 0.450 | 7.160 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 117 | 77 | 254 | 0 | 181 | 0 | 186 | 0 |
N.S. |
1 | 1.03 | 0.68 | 2.23 | 0.00 | 1.59 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 0.488 | 0.303 | 5.724 | 0.000 | 0.293 | 0.000 | 0.448 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 131 | 129 | 373 | 46533 | 279 | 0 | 219 | 0 |
N.S. |
1 | 1.05 | 1.03 | 2.98 | 372.26 | 2.23 | 0.00 | 1.75 | 0.00 |
time (sec) |
N/A | 0.746 | 0.519 | 8.112 | 1.923 | 0.306 | 0.000 | 1.494 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 166 | 167 | 701 | 63653 | 313 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.06 | 4.44 | 402.87 | 1.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.038 | 1.550 | 9.427 | 2.224 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 228 | 199 | 1100 | 0 | 356 | 0 | 306 | 0 |
N.S. |
1 | 1.05 | 0.92 | 5.07 | 0.00 | 1.64 | 0.00 | 1.41 | 0.00 |
time (sec) |
N/A | 1.427 | 1.224 | 10.785 | 0.000 | 0.329 | 0.000 | 0.633 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 287 | 205 | 1612 | 0 | 374 | 0 | 380 | 0 |
N.S. |
1 | 1.08 | 0.77 | 6.06 | 0.00 | 1.41 | 0.00 | 1.43 | 0.00 |
time (sec) |
N/A | 1.796 | 3.006 | 11.650 | 0.000 | 0.325 | 0.000 | 0.561 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 259 | 285 | 129 | 432 | 0 | 266 | 0 | 292 | 0 |
N.S. |
1 | 1.10 | 0.50 | 1.67 | 0.00 | 1.03 | 0.00 | 1.13 | 0.00 |
time (sec) |
N/A | 1.743 | 0.945 | 7.274 | 0.000 | 0.303 | 0.000 | 10.559 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 228 | 112 | 362 | 0 | 249 | 0 | 247 | 0 |
N.S. |
1 | 1.08 | 0.53 | 1.71 | 0.00 | 1.17 | 0.00 | 1.17 | 0.00 |
time (sec) |
N/A | 1.334 | 0.629 | 8.103 | 0.000 | 0.286 | 0.000 | 5.497 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 175 | 95 | 327 | 0 | 226 | 0 | 235 | 0 |
N.S. |
1 | 1.06 | 0.58 | 1.98 | 0.00 | 1.37 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.922 | 0.525 | 7.329 | 0.000 | 0.296 | 0.000 | 2.693 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 130 | 89 | 292 | 0 | 225 | 0 | 194 | 0 |
N.S. |
1 | 1.05 | 0.72 | 2.35 | 0.00 | 1.81 | 0.00 | 1.56 | 0.00 |
time (sec) |
N/A | 0.510 | 0.393 | 6.014 | 0.000 | 0.278 | 0.000 | 1.168 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 174 | 124 | 445 | 0 | 339 | 0 | 264 | 0 |
N.S. |
1 | 1.07 | 0.77 | 2.75 | 0.00 | 2.09 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 1.008 | 1.150 | 8.615 | 0.000 | 0.300 | 0.000 | 5.552 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 199 | 215 | 185 | 768 | 0 | 379 | 0 | 311 | 0 |
N.S. |
1 | 1.08 | 0.93 | 3.86 | 0.00 | 1.90 | 0.00 | 1.56 | 0.00 |
time (sec) |
N/A | 1.403 | 3.131 | 9.146 | 0.000 | 0.318 | 0.000 | 1.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 262 | 280 | 215 | 1165 | 769155 | 421 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.82 | 4.45 | 2935.71 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.817 | 5.302 | 10.689 | 247.759 | 0.344 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 193 | 964 | 434 | 0 | 221 | 0 | 0 | 177 |
N.S. |
1 | 0.98 | 4.92 | 2.21 | 0.00 | 1.13 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.903 | 6.621 | 23.339 | 0.000 | 0.117 | 0.000 | 0.000 | 2.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 918 | 406 | 0 | 203 | 0 | 0 | 166 |
N.S. |
1 | 1.00 | 5.56 | 2.46 | 0.00 | 1.23 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.788 | 6.494 | 17.129 | 0.000 | 0.109 | 0.000 | 0.000 | 1.559 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 137 | 872 | 378 | 0 | 185 | 0 | 0 | 139 |
N.S. |
1 | 1.02 | 6.51 | 2.82 | 0.00 | 1.38 | 0.00 | 0.00 | 1.04 |
time (sec) |
N/A | 0.735 | 6.523 | 15.756 | 0.000 | 0.103 | 0.000 | 0.000 | 0.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 107 | 342 | 345 | 0 | 163 | 0 | 0 | 112 |
N.S. |
1 | 1.06 | 3.39 | 3.42 | 0.00 | 1.61 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.617 | 6.150 | 11.287 | 0.000 | 0.104 | 0.000 | 0.000 | 1.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 98 | 270 | 289 | 0 | 190 | 0 | 0 | 112 |
N.S. |
1 | 1.03 | 2.84 | 3.04 | 0.00 | 2.00 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.601 | 5.109 | 10.085 | 0.000 | 0.118 | 0.000 | 0.000 | 1.612 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 98 | 317 | 410 | 0 | 198 | 0 | 0 | 123 |
N.S. |
1 | 1.03 | 3.34 | 4.32 | 0.00 | 2.08 | 0.00 | 0.00 | 1.29 |
time (sec) |
N/A | 0.604 | 6.546 | 10.683 | 0.000 | 0.110 | 0.000 | 0.000 | 2.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 131 | 851 | 702 | 0 | 221 | 0 | 0 | 150 |
N.S. |
1 | 0.99 | 6.45 | 5.32 | 0.00 | 1.67 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.736 | 7.003 | 14.580 | 0.000 | 0.113 | 0.000 | 0.000 | 2.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 161 | 895 | 811 | 0 | 243 | 0 | 0 | 177 |
N.S. |
1 | 0.98 | 5.42 | 4.92 | 0.00 | 1.47 | 0.00 | 0.00 | 1.07 |
time (sec) |
N/A | 0.766 | 7.013 | 19.255 | 0.000 | 0.104 | 0.000 | 0.000 | 2.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 234 | 982 | 436 | 0 | 239 | 0 | 0 | 266 |
N.S. |
1 | 1.02 | 4.27 | 1.90 | 0.00 | 1.04 | 0.00 | 0.00 | 1.16 |
time (sec) |
N/A | 1.317 | 6.665 | 23.686 | 0.000 | 0.112 | 0.000 | 0.000 | 1.916 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 206 | 936 | 408 | 0 | 219 | 0 | 0 | 242 |
N.S. |
1 | 1.05 | 4.75 | 2.07 | 0.00 | 1.11 | 0.00 | 0.00 | 1.23 |
time (sec) |
N/A | 1.265 | 6.632 | 21.436 | 0.000 | 0.114 | 0.000 | 0.000 | 1.898 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 178 | 890 | 380 | 0 | 199 | 0 | 0 | 177 |
N.S. |
1 | 1.09 | 5.43 | 2.32 | 0.00 | 1.21 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 1.128 | 7.692 | 16.836 | 0.000 | 0.103 | 0.000 | 0.000 | 1.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 171 | 658 | 268 | 0 | 209 | 0 | 0 | 188 |
N.S. |
1 | 1.07 | 4.11 | 1.68 | 0.00 | 1.31 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 1.155 | 7.974 | 14.766 | 0.000 | 0.111 | 0.000 | 0.000 | 2.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 168 | 865 | 652 | 0 | 219 | 0 | 0 | 161 |
N.S. |
1 | 1.08 | 5.54 | 4.18 | 0.00 | 1.40 | 0.00 | 0.00 | 1.03 |
time (sec) |
N/A | 1.133 | 7.855 | 15.018 | 0.000 | 0.113 | 0.000 | 0.000 | 2.429 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 166 | 656 | 756 | 0 | 223 | 0 | 0 | 202 |
N.S. |
1 | 1.06 | 4.21 | 4.85 | 0.00 | 1.43 | 0.00 | 0.00 | 1.29 |
time (sec) |
N/A | 1.142 | 8.743 | 16.797 | 0.000 | 0.115 | 0.000 | 0.000 | 2.909 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 202 | 913 | 891 | 0 | 259 | 0 | 0 | 229 |
N.S. |
1 | 1.03 | 4.63 | 4.52 | 0.00 | 1.31 | 0.00 | 0.00 | 1.16 |
time (sec) |
N/A | 1.275 | 9.384 | 21.236 | 0.000 | 0.107 | 0.000 | 0.000 | 3.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 955 | 1141 | 0 | 279 | 0 | 0 | 482 |
N.S. |
1 | 1.00 | 4.15 | 4.96 | 0.00 | 1.21 | 0.00 | 0.00 | 2.10 |
time (sec) |
N/A | 1.342 | 10.271 | 27.791 | 0.000 | 0.116 | 0.000 | 0.000 | 3.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 285 | 1028 | 464 | 0 | 259 | 0 | 0 | 360 |
N.S. |
1 | 1.02 | 3.68 | 1.66 | 0.00 | 0.93 | 0.00 | 0.00 | 1.29 |
time (sec) |
N/A | 1.728 | 7.156 | 27.016 | 0.000 | 0.131 | 0.000 | 0.000 | 2.158 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 257 | 982 | 436 | 0 | 239 | 0 | 0 | 332 |
N.S. |
1 | 1.04 | 3.99 | 1.77 | 0.00 | 0.97 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 1.679 | 7.130 | 23.372 | 0.000 | 0.125 | 0.000 | 0.000 | 1.951 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 222 | 936 | 408 | 0 | 219 | 0 | 0 | 283 |
N.S. |
1 | 1.04 | 4.39 | 1.92 | 0.00 | 1.03 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 1.496 | 8.343 | 19.282 | 0.000 | 0.117 | 0.000 | 0.000 | 1.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 230 | 926 | 360 | 0 | 245 | 0 | 0 | 269 |
N.S. |
1 | 1.06 | 4.27 | 1.66 | 0.00 | 1.13 | 0.00 | 0.00 | 1.24 |
time (sec) |
N/A | 1.549 | 9.240 | 17.095 | 0.000 | 0.123 | 0.000 | 0.000 | 1.945 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 222 | 909 | 704 | 0 | 247 | 0 | 0 | 237 |
N.S. |
1 | 1.05 | 4.31 | 3.34 | 0.00 | 1.17 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 1.508 | 9.138 | 16.400 | 0.000 | 0.129 | 0.000 | 0.000 | 2.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 218 | 905 | 939 | 0 | 253 | 0 | 0 | 279 |
N.S. |
1 | 1.02 | 4.25 | 4.41 | 0.00 | 1.19 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 1.520 | 11.717 | 19.656 | 0.000 | 0.119 | 0.000 | 0.000 | 2.697 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 222 | 920 | 985 | 0 | 259 | 0 | 0 | 279 |
N.S. |
1 | 1.04 | 4.32 | 4.62 | 0.00 | 1.22 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 1.526 | 11.571 | 24.511 | 0.000 | 0.119 | 0.000 | 0.000 | 3.715 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 955 | 1219 | 0 | 279 | 0 | 0 | 308 |
N.S. |
1 | 1.00 | 3.88 | 4.96 | 0.00 | 1.13 | 0.00 | 0.00 | 1.25 |
time (sec) |
N/A | 1.689 | 12.729 | 29.358 | 0.000 | 0.110 | 0.000 | 0.000 | 4.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 281 | 997 | 1381 | 0 | 299 | 0 | 0 | 621 |
N.S. |
1 | 1.01 | 3.57 | 4.95 | 0.00 | 1.07 | 0.00 | 0.00 | 2.23 |
time (sec) |
N/A | 1.761 | 12.865 | 33.619 | 0.000 | 0.116 | 0.000 | 0.000 | 4.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 176 | 983 | 295 | 0 | 280 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 5.12 | 1.54 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.795 | 8.602 | 10.627 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 148 | 934 | 276 | 0 | 263 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 5.87 | 1.74 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.678 | 8.260 | 6.745 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 119 | 890 | 262 | 0 | 250 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 7.30 | 2.15 | 0.00 | 2.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.618 | 7.873 | 6.214 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 89 | 859 | 247 | 0 | 239 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 10.35 | 2.98 | 0.00 | 2.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.525 | 7.668 | 5.490 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 112 | 892 | 316 | 0 | 288 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 7.89 | 2.80 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.642 | 7.850 | 6.035 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 142 | 927 | 459 | 0 | 314 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 6.18 | 3.06 | 0.00 | 2.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.655 | 8.074 | 7.850 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 172 | 971 | 776 | 0 | 333 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 5.06 | 4.04 | 0.00 | 1.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.798 | 8.336 | 10.434 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 194 | 1012 | 451 | 0 | 378 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 5.16 | 2.30 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.973 | 8.864 | 10.778 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 165 | 968 | 437 | 0 | 366 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 6.01 | 2.71 | 0.00 | 2.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.949 | 8.285 | 6.951 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 132 | 696 | 348 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 5.52 | 2.76 | 0.00 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.761 | 7.813 | 7.033 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 134 | 935 | 419 | 0 | 354 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 7.48 | 3.35 | 0.00 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.808 | 7.782 | 6.658 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 160 | 716 | 452 | 0 | 367 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 4.62 | 2.92 | 0.00 | 2.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.914 | 7.843 | 6.483 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 1005 | 711 | 0 | 427 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.32 | 3.76 | 0.00 | 2.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.947 | 8.354 | 9.701 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 255 | 1097 | 479 | 0 | 489 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 4.39 | 1.92 | 0.00 | 1.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.371 | 10.399 | 18.605 | 0.000 | 0.138 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 220 | 1060 | 465 | 0 | 478 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 5.07 | 2.22 | 0.00 | 2.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.266 | 9.483 | 17.580 | 0.000 | 0.124 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 193 | 1035 | 451 | 0 | 465 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 5.81 | 2.53 | 0.00 | 2.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.104 | 8.633 | 6.935 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 195 | 1023 | 451 | 0 | 463 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 5.68 | 2.51 | 0.00 | 2.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.107 | 9.029 | 7.336 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 199 | 1029 | 451 | 0 | 467 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 5.59 | 2.45 | 0.00 | 2.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.115 | 8.453 | 7.239 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 219 | 225 | 1065 | 685 | 0 | 519 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 4.86 | 3.13 | 0.00 | 2.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.280 | 8.682 | 7.188 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 242 | 245 | 1095 | 876 | 0 | 542 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 4.52 | 3.62 | 0.00 | 2.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.303 | 9.129 | 8.908 | 0.000 | 0.136 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 215 | 129 | 312 | 7358 | 145 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 1.46 | 34.38 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.041 | 0.902 | 26.852 | 0.790 | 0.366 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 172 | 112 | 242 | 2713 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.66 | 1.43 | 16.05 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.820 | 0.509 | 26.437 | 0.651 | 0.311 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 128 | 98 | 178 | 1207 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.79 | 1.44 | 9.73 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.676 | 0.293 | 29.225 | 0.509 | 0.330 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 124 | 100 | 151 | 890 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.85 | 1.29 | 7.61 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.689 | 0.275 | 32.873 | 0.457 | 0.284 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 124 | 90 | 126 | 339 | 123 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.78 | 1.09 | 2.92 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.668 | 0.253 | 13.927 | 0.418 | 0.281 | 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(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 135 | 73 | 77 | 336 | 80 | 0 | 0 | 170 |
N.S. |
1 | 1.10 | 0.59 | 0.63 | 2.73 | 0.65 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.686 | 0.298 | 13.387 | 0.352 | 0.286 | 0.000 | 0.000 | 3.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 177 | 101 | 99 | 475 | 97 | 0 | 136951 | 479 |
N.S. |
1 | 1.05 | 0.60 | 0.59 | 2.83 | 0.58 | 0.00 | 815.18 | 2.85 |
time (sec) |
N/A | 0.854 | 0.440 | 13.634 | 0.362 | 0.283 | 0.000 | 235.465 | 7.394 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 220 | 124 | 121 | 567 | 115 | 0 | 0 | 611 |
N.S. |
1 | 1.03 | 0.58 | 0.57 | 2.66 | 0.54 | 0.00 | 0.00 | 2.87 |
time (sec) |
N/A | 1.058 | 0.635 | 13.555 | 0.359 | 0.271 | 0.000 | 0.000 | 8.413 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 265 | 269 | 147 | 385 | 4470 | 174 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.55 | 1.45 | 16.87 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.427 | 1.632 | 28.432 | 0.865 | 0.355 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 223 | 128 | 313 | 8041 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.59 | 1.44 | 36.89 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.214 | 0.906 | 28.991 | 0.933 | 0.368 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 181 | 113 | 243 | 2746 | 138 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.66 | 1.42 | 16.06 | 0.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.987 | 0.603 | 33.439 | 0.692 | 0.316 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 182 | 119 | 227 | 2078 | 149 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.68 | 1.30 | 11.87 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.019 | 0.565 | 32.798 | 0.588 | 0.334 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 169 | 116 | 193 | 930 | 141 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.72 | 1.20 | 5.78 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.998 | 0.566 | 32.486 | 0.471 | 0.305 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 169 | 121 | 209 | 1216 | 145 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.74 | 1.28 | 7.46 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.993 | 0.753 | 13.332 | 0.459 | 0.281 | 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) | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 187 | 102 | 100 | 389 | 100 | 0 | 147871 | 264 |
N.S. |
1 | 1.09 | 0.59 | 0.58 | 2.26 | 0.58 | 0.00 | 859.72 | 1.53 |
time (sec) |
N/A | 1.020 | 0.545 | 13.090 | 0.361 | 0.284 | 0.000 | 249.369 | 8.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 231 | 123 | 122 | 527 | 119 | 0 | 0 | 293 |
N.S. |
1 | 1.05 | 0.56 | 0.56 | 2.41 | 0.54 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 1.191 | 0.688 | 13.144 | 0.360 | 0.277 | 0.000 | 0.000 | 8.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 274 | 146 | 144 | 620 | 138 | 0 | 0 | 356 |
N.S. |
1 | 1.03 | 0.55 | 0.54 | 2.33 | 0.52 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 1.481 | 0.764 | 13.047 | 0.386 | 0.278 | 0.000 | 0.000 | 8.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 312 | 315 | 170 | 459 | 42699 | 208 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.54 | 1.47 | 136.86 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.868 | 3.835 | 24.497 | 2.940 | 0.370 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 265 | 278 | 148 | 387 | 4556 | 188 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.56 | 1.46 | 17.19 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.525 | 1.665 | 27.186 | 0.846 | 0.375 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 233 | 131 | 315 | 8557 | 168 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.60 | 1.44 | 39.25 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.371 | 1.018 | 31.791 | 0.869 | 0.379 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 235 | 142 | 299 | 2938 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.64 | 1.35 | 13.23 | 0.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.384 | 0.936 | 28.809 | 0.675 | 0.334 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 227 | 141 | 269 | 2503 | 177 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.65 | 1.23 | 11.48 | 0.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.349 | 0.825 | 31.364 | 0.617 | 0.317 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 221 | 141 | 229 | 1126 | 171 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.67 | 1.09 | 5.36 | 0.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.318 | 1.002 | 30.214 | 0.480 | 0.303 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 221 | 151 | 246 | 1640 | 176 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.72 | 1.17 | 7.81 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.296 | 1.431 | 13.403 | 0.488 | 0.312 | 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(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 235 | 127 | 124 | 441 | 129 | 0 | 0 | 685 |
N.S. |
1 | 1.07 | 0.58 | 0.57 | 2.01 | 0.59 | 0.00 | 0.00 | 3.13 |
time (sec) |
N/A | 1.380 | 0.840 | 13.755 | 0.355 | 0.305 | 0.000 | 0.000 | 10.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 279 | 149 | 146 | 579 | 148 | 0 | 0 | 773 |
N.S. |
1 | 1.05 | 0.56 | 0.55 | 2.18 | 0.56 | 0.00 | 0.00 | 2.91 |
time (sec) |
N/A | 1.607 | 0.940 | 12.237 | 0.359 | 0.285 | 0.000 | 0.000 | 8.639 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 326 | 171 | 168 | 671 | 170 | 0 | 0 | 911 |
N.S. |
1 | 1.04 | 0.55 | 0.54 | 2.14 | 0.54 | 0.00 | 0.00 | 2.91 |
time (sec) |
N/A | 1.828 | 0.823 | 11.114 | 0.374 | 0.284 | 0.000 | 0.000 | 8.851 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 226 | 251 | 254 | 289 | 0 | 192 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.12 | 1.28 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.517 | 0.800 | 24.484 | 0.000 | 2.248 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 196 | 196 | 225 | 0 | 178 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.07 | 1.23 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.105 | 0.513 | 24.466 | 0.000 | 2.334 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 142 | 104 | 158 | 0 | 153 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.78 | 1.19 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.803 | 0.277 | 30.944 | 0.000 | 1.030 | 0.000 | 0.000 | 0.000 |