Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 205 | 176 | 179 | 217 | 174 | 0 | 672 | 277 |
N.S. |
1 | 0.93 | 0.80 | 0.81 | 0.98 | 0.79 | 0.00 | 3.04 | 1.25 |
time (sec) |
N/A | 1.266 | 2.536 | 3.702 | 0.254 | 0.299 | 0.000 | 0.353 | 14.926 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 334 | 348 | 244 | 277 | 474 | 327 | 0 | 1186 | 709 |
N.S. |
1 | 1.04 | 0.73 | 0.83 | 1.42 | 0.98 | 0.00 | 3.55 | 2.12 |
time (sec) |
N/A | 1.897 | 2.181 | 7.384 | 0.223 | 0.293 | 0.000 | 0.404 | 18.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 266 | 198 | 237 | 379 | 281 | 0 | 850 | 555 |
N.S. |
1 | 1.06 | 0.79 | 0.95 | 1.52 | 1.12 | 0.00 | 3.40 | 2.22 |
time (sec) |
N/A | 1.451 | 3.365 | 6.025 | 0.222 | 0.290 | 0.000 | 0.384 | 18.026 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 212 | 160 | 206 | 303 | 250 | 0 | 635 | 1969 |
N.S. |
1 | 1.06 | 0.80 | 1.03 | 1.52 | 1.25 | 0.00 | 3.18 | 9.84 |
time (sec) |
N/A | 0.764 | 0.782 | 5.308 | 0.234 | 0.295 | 0.000 | 0.398 | 17.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 202 | 469 | 209 | 245 | 219 | 0 | 387 | 636 |
N.S. |
1 | 1.04 | 2.41 | 1.07 | 1.26 | 1.12 | 0.00 | 1.98 | 3.26 |
time (sec) |
N/A | 0.806 | 8.144 | 3.903 | 0.261 | 0.298 | 0.000 | 0.370 | 16.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 208 | 310 | 187 | 209 | 202 | 0 | 528 | 330 |
N.S. |
1 | 1.00 | 1.48 | 0.89 | 1.00 | 0.97 | 0.00 | 2.53 | 1.58 |
time (sec) |
N/A | 0.942 | 3.628 | 2.750 | 0.220 | 0.305 | 0.000 | 0.359 | 16.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 203 | 257 | 189 | 197 | 196 | 0 | 371 | 2523 |
N.S. |
1 | 1.03 | 1.30 | 0.95 | 0.99 | 0.99 | 0.00 | 1.87 | 12.74 |
time (sec) |
N/A | 1.492 | 2.856 | 3.365 | 0.237 | 0.291 | 0.000 | 0.381 | 16.433 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 228 | 210 | 189 | 215 | 183 | 0 | 603 | 369 |
N.S. |
1 | 1.06 | 0.97 | 0.88 | 1.00 | 0.85 | 0.00 | 2.79 | 1.71 |
time (sec) |
N/A | 1.525 | 2.092 | 2.809 | 0.216 | 0.290 | 0.000 | 0.360 | 15.452 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 271 | 263 | 201 | 246 | 197 | 0 | 791 | 307 |
N.S. |
1 | 1.05 | 1.02 | 0.78 | 0.95 | 0.76 | 0.00 | 3.07 | 1.19 |
time (sec) |
N/A | 1.605 | 1.788 | 3.644 | 0.224 | 0.292 | 0.000 | 0.348 | 15.222 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 309 | 287 | 333 | 247 | 307 | 243 | 0 | 1127 | 403 |
N.S. |
1 | 0.93 | 1.08 | 0.80 | 0.99 | 0.79 | 0.00 | 3.65 | 1.30 |
time (sec) |
N/A | 1.914 | 3.318 | 4.764 | 0.225 | 0.292 | 0.000 | 0.365 | 15.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 204 | 422 | 335 | 0 | 743 | 0 | 412 | 4667 |
N.S. |
1 | 1.09 | 2.26 | 1.79 | 0.00 | 3.97 | 0.00 | 2.20 | 24.96 |
time (sec) |
N/A | 1.506 | 2.342 | 1.171 | 0.000 | 0.739 | 0.000 | 0.349 | 19.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 155 | 300 | 229 | 0 | 609 | 0 | 269 | 4047 |
N.S. |
1 | 1.08 | 2.10 | 1.60 | 0.00 | 4.26 | 0.00 | 1.88 | 28.30 |
time (sec) |
N/A | 1.027 | 2.071 | 1.060 | 0.000 | 2.875 | 0.000 | 0.369 | 18.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 95 | 130 | 144 | 0 | 472 | 0 | 176 | 719 |
N.S. |
1 | 0.97 | 1.33 | 1.47 | 0.00 | 4.82 | 0.00 | 1.80 | 7.34 |
time (sec) |
N/A | 0.648 | 0.943 | 0.877 | 0.000 | 0.370 | 0.000 | 0.362 | 15.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 112 | 92 | 0 | 316 | 0 | 127 | 573 |
N.S. |
1 | 1.00 | 1.47 | 1.21 | 0.00 | 4.16 | 0.00 | 1.67 | 7.54 |
time (sec) |
N/A | 0.479 | 0.439 | 0.873 | 0.000 | 0.656 | 0.000 | 0.334 | 15.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 68 | 73 | 0 | 250 | 0 | 274 | 573 |
N.S. |
1 | 1.00 | 1.01 | 1.09 | 0.00 | 3.73 | 0.00 | 4.09 | 8.55 |
time (sec) |
N/A | 0.394 | 0.168 | 0.802 | 0.000 | 0.301 | 0.000 | 0.328 | 15.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 87 | 85 | 111 | 0 | 328 | 0 | 141 | 740 |
N.S. |
1 | 0.97 | 0.94 | 1.23 | 0.00 | 3.64 | 0.00 | 1.57 | 8.22 |
time (sec) |
N/A | 0.446 | 0.677 | 1.065 | 0.000 | 0.297 | 0.000 | 0.323 | 15.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 145 | 121 | 168 | 0 | 427 | 0 | 227 | 3740 |
N.S. |
1 | 1.08 | 0.90 | 1.25 | 0.00 | 3.19 | 0.00 | 1.69 | 27.91 |
time (sec) |
N/A | 0.951 | 0.805 | 1.057 | 0.000 | 0.292 | 0.000 | 0.329 | 18.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 195 | 152 | 242 | 0 | 547 | 0 | 360 | 4572 |
N.S. |
1 | 1.10 | 0.85 | 1.36 | 0.00 | 3.07 | 0.00 | 2.02 | 25.69 |
time (sec) |
N/A | 1.361 | 0.997 | 1.283 | 0.000 | 0.317 | 0.000 | 0.337 | 20.083 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 265 | 202 | 381 | 0 | 685 | 0 | 642 | 5903 |
N.S. |
1 | 1.10 | 0.84 | 1.59 | 0.00 | 2.85 | 0.00 | 2.68 | 24.60 |
time (sec) |
N/A | 1.990 | 1.130 | 1.265 | 0.000 | 0.352 | 0.000 | 0.330 | 21.663 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 272 | 286 | 438 | 330 | 0 | 1343 | 0 | 384 | 6678 |
N.S. |
1 | 1.05 | 1.61 | 1.21 | 0.00 | 4.94 | 0.00 | 1.41 | 24.55 |
time (sec) |
N/A | 1.855 | 7.045 | 1.533 | 0.000 | 12.107 | 0.000 | 0.346 | 24.244 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 194 | 240 | 245 | 0 | 1114 | 0 | 404 | 5436 |
N.S. |
1 | 1.18 | 1.46 | 1.49 | 0.00 | 6.79 | 0.00 | 2.46 | 33.15 |
time (sec) |
N/A | 1.269 | 2.085 | 1.174 | 0.000 | 7.588 | 0.000 | 0.354 | 22.961 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 158 | 191 | 185 | 0 | 694 | 0 | 231 | 3751 |
N.S. |
1 | 1.21 | 1.46 | 1.41 | 0.00 | 5.30 | 0.00 | 1.76 | 28.63 |
time (sec) |
N/A | 0.866 | 0.928 | 0.930 | 0.000 | 2.361 | 0.000 | 0.342 | 22.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 111 | 97 | 132 | 0 | 389 | 0 | 172 | 106 |
N.S. |
1 | 1.11 | 0.97 | 1.32 | 0.00 | 3.89 | 0.00 | 1.72 | 1.06 |
time (sec) |
N/A | 0.504 | 0.425 | 0.799 | 0.000 | 0.308 | 0.000 | 0.332 | 14.715 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 149 | 155 | 168 | 0 | 561 | 0 | 201 | 3763 |
N.S. |
1 | 1.20 | 1.25 | 1.35 | 0.00 | 4.52 | 0.00 | 1.62 | 30.35 |
time (sec) |
N/A | 0.698 | 1.041 | 0.814 | 0.000 | 0.337 | 0.000 | 0.313 | 22.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 199 | 221 | 213 | 0 | 788 | 0 | 1107 | 3264 |
N.S. |
1 | 1.11 | 1.23 | 1.18 | 0.00 | 4.38 | 0.00 | 6.15 | 18.13 |
time (sec) |
N/A | 1.151 | 2.259 | 1.117 | 0.000 | 0.365 | 0.000 | 0.442 | 19.673 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 275 | 184 | 270 | 0 | 970 | 0 | 340 | 6731 |
N.S. |
1 | 1.05 | 0.70 | 1.03 | 0.00 | 3.72 | 0.00 | 1.30 | 25.79 |
time (sec) |
N/A | 1.786 | 1.666 | 1.428 | 0.000 | 0.381 | 0.000 | 0.328 | 23.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 346 | 355 | 224 | 346 | 0 | 1167 | 0 | 473 | 7763 |
N.S. |
1 | 1.03 | 0.65 | 1.00 | 0.00 | 3.37 | 0.00 | 1.37 | 22.44 |
time (sec) |
N/A | 2.495 | 2.181 | 1.454 | 0.000 | 0.398 | 0.000 | 0.341 | 25.592 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 407 | 433 | 507 | 464 | 0 | 2444 | 0 | 1391 | 10533 |
N.S. |
1 | 1.06 | 1.25 | 1.14 | 0.00 | 6.00 | 0.00 | 3.42 | 25.88 |
time (sec) |
N/A | 2.916 | 3.049 | 2.076 | 0.000 | 42.647 | 0.000 | 0.443 | 27.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 326 | 418 | 380 | 0 | 2111 | 0 | 581 | 9286 |
N.S. |
1 | 1.13 | 1.45 | 1.31 | 0.00 | 7.30 | 0.00 | 2.01 | 32.13 |
time (sec) |
N/A | 2.058 | 7.038 | 1.974 | 0.000 | 29.331 | 0.000 | 0.404 | 27.250 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 256 | 270 | 305 | 0 | 1419 | 0 | 486 | 6899 |
N.S. |
1 | 1.16 | 1.23 | 1.39 | 0.00 | 6.45 | 0.00 | 2.21 | 31.36 |
time (sec) |
N/A | 1.452 | 1.653 | 1.441 | 0.000 | 10.503 | 0.000 | 0.406 | 23.968 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 206 | 157 | 238 | 0 | 750 | 0 | 400 | 251 |
N.S. |
1 | 1.14 | 0.87 | 1.32 | 0.00 | 4.17 | 0.00 | 2.22 | 1.39 |
time (sec) |
N/A | 0.886 | 0.694 | 1.089 | 0.000 | 0.328 | 0.000 | 0.369 | 18.163 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 190 | 172 | 236 | 0 | 752 | 0 | 399 | 251 |
N.S. |
1 | 1.16 | 1.05 | 1.44 | 0.00 | 4.59 | 0.00 | 2.43 | 1.53 |
time (sec) |
N/A | 0.810 | 1.135 | 0.856 | 0.000 | 0.318 | 0.000 | 0.361 | 17.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 249 | 267 | 287 | 0 | 1152 | 0 | 457 | 6909 |
N.S. |
1 | 1.21 | 1.30 | 1.40 | 0.00 | 5.62 | 0.00 | 2.23 | 33.70 |
time (sec) |
N/A | 1.162 | 2.466 | 1.170 | 0.000 | 0.349 | 0.000 | 0.390 | 24.176 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 290 | 326 | 306 | 347 | 0 | 1568 | 0 | 546 | 5530 |
N.S. |
1 | 1.12 | 1.06 | 1.20 | 0.00 | 5.41 | 0.00 | 1.88 | 19.07 |
time (sec) |
N/A | 1.976 | 2.776 | 1.491 | 0.000 | 0.380 | 0.000 | 0.377 | 22.677 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 393 | 417 | 734 | 403 | 0 | 1811 | 0 | 2700 | 10586 |
N.S. |
1 | 1.06 | 1.87 | 1.03 | 0.00 | 4.61 | 0.00 | 6.87 | 26.94 |
time (sec) |
N/A | 2.872 | 3.758 | 1.997 | 0.000 | 0.440 | 0.000 | 0.645 | 27.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 418 | 475 | 548 | 591 | 0 | 3434 | 0 | 1005 | 13092 |
N.S. |
1 | 1.14 | 1.31 | 1.41 | 0.00 | 8.22 | 0.00 | 2.40 | 31.32 |
time (sec) |
N/A | 3.140 | 4.106 | 2.076 | 0.000 | 76.661 | 0.000 | 0.413 | 34.952 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 310 | 365 | 369 | 482 | 0 | 2278 | 0 | 844 | 9713 |
N.S. |
1 | 1.18 | 1.19 | 1.55 | 0.00 | 7.35 | 0.00 | 2.72 | 31.33 |
time (sec) |
N/A | 2.146 | 1.916 | 1.978 | 0.000 | 27.998 | 0.000 | 0.396 | 27.404 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 319 | 226 | 375 | 0 | 1230 | 0 | 693 | 439 |
N.S. |
1 | 1.16 | 0.82 | 1.37 | 0.00 | 4.49 | 0.00 | 2.53 | 1.60 |
time (sec) |
N/A | 1.483 | 1.838 | 1.358 | 0.000 | 0.374 | 0.000 | 0.373 | 19.601 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 302 | 252 | 388 | 0 | 1242 | 0 | 726 | 451 |
N.S. |
1 | 1.15 | 0.96 | 1.48 | 0.00 | 4.72 | 0.00 | 2.76 | 1.71 |
time (sec) |
N/A | 1.314 | 1.532 | 1.138 | 0.000 | 0.354 | 0.000 | 0.379 | 19.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 279 | 404 | 376 | 0 | 1238 | 0 | 693 | 439 |
N.S. |
1 | 1.18 | 1.70 | 1.59 | 0.00 | 5.22 | 0.00 | 2.92 | 1.85 |
time (sec) |
N/A | 1.187 | 2.429 | 1.270 | 0.000 | 0.369 | 0.000 | 0.380 | 19.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 292 | 356 | 769 | 464 | 0 | 1867 | 0 | 814 | 9721 |
N.S. |
1 | 1.22 | 2.63 | 1.59 | 0.00 | 6.39 | 0.00 | 2.79 | 33.29 |
time (sec) |
N/A | 1.727 | 4.721 | 1.119 | 0.000 | 0.425 | 0.000 | 0.396 | 27.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 411 | 467 | 1205 | 558 | 0 | 2560 | 0 | 966 | 7863 |
N.S. |
1 | 1.14 | 2.93 | 1.36 | 0.00 | 6.23 | 0.00 | 2.35 | 19.13 |
time (sec) |
N/A | 3.042 | 6.635 | 2.037 | 0.000 | 0.526 | 0.000 | 0.398 | 27.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 538 | 582 | 1452 | 615 | 0 | 2890 | 0 | 1052 | 14438 |
N.S. |
1 | 1.08 | 2.70 | 1.14 | 0.00 | 5.37 | 0.00 | 1.96 | 26.84 |
time (sec) |
N/A | 4.150 | 8.090 | 2.836 | 0.000 | 0.565 | 0.000 | 0.411 | 28.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 70 | 61 | 76 | 0 | 197 | 0 | 187 | 91 |
N.S. |
1 | 1.15 | 1.00 | 1.25 | 0.00 | 3.23 | 0.00 | 3.07 | 1.49 |
time (sec) |
N/A | 0.412 | 0.190 | 0.781 | 0.000 | 0.285 | 0.000 | 0.313 | 15.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 7 | 0 | 6 | 3 | 13 | 6 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 0.00 | 1.00 | 0.50 | 2.17 | 1.00 |
time (sec) |
N/A | 0.144 | 0.002 | 0.357 | 0.000 | 0.250 | 2.827 | 0.300 | 14.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 122 | 97 | 120 | 0 | 279 | 0 | 139 | 444 |
N.S. |
1 | 1.42 | 1.13 | 1.40 | 0.00 | 3.24 | 0.00 | 1.62 | 5.16 |
time (sec) |
N/A | 0.658 | 0.868 | 0.819 | 0.000 | 0.281 | 0.000 | 0.314 | 14.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 33 | 39 | 37 | 80 | 84 | 0 | 58 | 26 |
N.S. |
1 | 0.38 | 0.45 | 0.43 | 0.92 | 0.97 | 0.00 | 0.67 | 0.30 |
time (sec) |
N/A | 0.344 | 0.260 | 0.814 | 0.284 | 0.283 | 0.000 | 0.321 | 14.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 485 | 505 | 3734 | 5582 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 7.70 | 11.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.433 | 23.824 | 38.595 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 397 | 414 | 530 | 4327 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.34 | 10.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.814 | 17.687 | 34.717 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 320 | 434 | 3107 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.38 | 9.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.178 | 15.280 | 26.635 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 256 | 257 | 408 | 2194 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.59 | 8.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.871 | 12.401 | 24.402 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 713 | 1249 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.23 | 3.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.011 | 16.641 | 20.451 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 344 | 351 | 843 | 1855 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.45 | 5.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.336 | 14.741 | 10.466 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 429 | 427 | 1149 | 2768 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.68 | 6.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.855 | 17.813 | 6.505 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 509 | 515 | 1548 | 4001 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 3.04 | 7.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.476 | 19.097 | 9.222 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 475 | 491 | 3766 | 5582 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 7.93 | 11.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.095 | 31.438 | 39.861 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 388 | 396 | 3342 | 4321 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 8.61 | 11.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.604 | 28.292 | 28.256 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 312 | 318 | 502 | 3360 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.61 | 10.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.203 | 18.147 | 29.090 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 381 | 382 | 6063 | 2984 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 15.91 | 7.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.360 | 24.212 | 25.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 361 | 368 | 971 | 2955 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.69 | 8.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.357 | 16.768 | 12.772 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 428 | 431 | 1197 | 3286 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 2.80 | 7.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.856 | 20.074 | 9.975 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 520 | 522 | 1535 | 4264 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.95 | 8.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.567 | 16.935 | 9.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 566 | 584 | 4227 | 6884 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 7.47 | 12.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.691 | 26.403 | 119.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 469 | 479 | 3781 | 5584 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 8.06 | 11.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.053 | 24.953 | 63.299 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 384 | 395 | 3431 | 4582 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 8.93 | 11.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.604 | 33.256 | 40.642 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 442 | 448 | 7138 | 4161 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 16.15 | 9.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.747 | 27.901 | 32.269 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 433 | 439 | 7745 | 4119 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 17.89 | 9.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.814 | 29.279 | 28.083 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 450 | 451 | 1326 | 4409 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.95 | 9.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.934 | 22.201 | 68.266 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 518 | 526 | 1551 | 4781 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.99 | 9.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.568 | 23.623 | 209.773 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 617 | 624 | 5172 | 5805 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 8.38 | 9.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.313 | 28.201 | 644.250 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 341 | 3000 | 3113 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 9.12 | 9.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.278 | 27.908 | 31.981 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 265 | 372 | 1945 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.43 | 7.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.896 | 19.310 | 22.292 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 2296 | 935 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 10.93 | 4.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.602 | 24.139 | 21.761 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 145 | 182 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.490 | 10.655 | 17.421 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 348 | 353 | 418 | 1350 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.20 | 3.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.274 | 18.596 | 9.039 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 435 | 436 | 1216 | 2512 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.80 | 5.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.810 | 16.790 | 8.813 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 525 | 535 | 1569 | 4001 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.99 | 7.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.499 | 22.223 | 11.031 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 362 | 3460 | 4228 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 10.52 | 12.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.467 | 31.601 | 30.243 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 275 | 302 | 467 | 3048 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.70 | 11.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.038 | 20.308 | 23.722 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 277 | 468 | 2190 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.84 | 8.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.922 | 19.096 | 18.099 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 376 | 405 | 1138 | 2883 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 3.03 | 7.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.454 | 15.503 | 15.124 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 427 | 468 | 1597 | 3865 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 3.74 | 9.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.898 | 21.329 | 10.371 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 531 | 566 | 1962 | 5390 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 3.69 | 10.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.517 | 19.498 | 10.313 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 630 | 672 | 2319 | 6977 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 3.68 | 11.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.251 | 25.396 | 12.849 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 510 | 526 | 4342 | 9480 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 8.51 | 18.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.366 | 32.494 | 32.115 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 417 | 432 | 3920 | 7755 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 9.40 | 18.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.587 | 28.443 | 27.553 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 387 | 402 | 3514 | 6307 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 9.08 | 16.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.507 | 26.345 | 20.272 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 353 | 372 | 3225 | 5260 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 9.14 | 14.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.355 | 23.834 | 14.825 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 495 | 522 | 1589 | 7175 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 3.21 | 14.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.046 | 17.186 | 18.081 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 582 | 617 | 2366 | 10861 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 4.07 | 18.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.599 | 23.841 | 11.793 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 686 | 723 | 821 | 13148 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.20 | 19.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.300 | 17.481 | 11.854 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 248 | 816 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.36 | 7.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.297 | 13.897 | 22.640 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 211 | 565 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.97 | 5.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.319 | 10.919 | 21.683 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 170 | 132 | 636 | 0 | 235 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.73 | 3.53 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.784 | 2.908 | 33.519 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 142 | 104 | 401 | 0 | 205 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.73 | 2.80 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.726 | 1.589 | 24.891 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 84 | 244 | 0 | 153 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.20 | 0.00 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.588 | 2.264 | 19.481 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 118 | 90 | 326 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.78 | 2.83 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.595 | 1.313 | 18.983 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 147 | 108 | 371 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.73 | 2.51 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.747 | 1.637 | 19.856 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 174 | 125 | 413 | 0 | 203 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.69 | 2.29 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.754 | 2.241 | 22.376 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 235 | 221 | 832 | 0 | 314 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.84 | 3.16 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.457 | 6.246 | 47.658 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |