Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 126 | 167 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.184 | 0.132 | 0.365 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 71 | 79 | 81 | 106 | 75 | 1032 | 70 |
N.S. | 1 | 1.00 | 1.08 | 1.20 | 1.23 | 1.61 | 1.14 | 15.64 | 1.06 |
time (sec) |
N/A | 0.058 | 0.041 | 0.010 | 0.501 | 1.715 | 2.440 | 0.568 | 0.357 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 104 | 201 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.87 | 1.69 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.165 | 0.085 | 0.820 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 109 | 120 | 121 | 125 | 168 | 424 | -1 |
N.S. | 1 | 1.00 | 1.28 | 1.41 | 1.42 | 1.47 | 1.98 | 4.99 | -0.01 |
time (sec) |
N/A | 0.065 | 0.037 | 0.010 | 0.474 | 1.197 | 3.208 | 121.536 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 187 | 339 | 314 | 216 | 415 | 598 | -1 |
N.S. | 1 | 1.00 | 0.78 | 1.41 | 1.30 | 0.90 | 1.72 | 2.48 | -0.00 |
time (sec) |
N/A | 0.234 | 0.142 | 0.141 | 0.486 | 1.499 | 1.743 | 0.418 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 190 | 303 | 284 | 214 | 382 | 498 | -1 |
N.S. | 1 | 1.00 | 0.79 | 1.26 | 1.18 | 0.89 | 1.59 | 2.07 | -0.00 |
time (sec) |
N/A | 0.181 | 0.115 | 0.134 | 0.470 | 1.214 | 1.132 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 158 | 279 | 253 | 185 | 333 | 429 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.41 | 1.28 | 0.93 | 1.68 | 2.17 | -0.01 |
time (sec) |
N/A | 0.164 | 0.117 | 0.141 | 0.501 | 1.639 | 0.868 | 0.412 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 159 | 264 | 223 | 181 | 299 | 350 | -1 |
N.S. | 1 | 1.00 | 0.87 | 1.44 | 1.22 | 0.99 | 1.63 | 1.91 | -0.01 |
time (sec) |
N/A | 0.131 | 0.105 | 0.128 | 0.474 | 1.136 | 0.697 | 0.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 125 | 209 | 182 | 149 | 240 | 265 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.39 | 1.21 | 0.99 | 1.60 | 1.77 | -0.01 |
time (sec) |
N/A | 0.103 | 0.099 | 0.093 | 0.479 | 0.944 | 0.365 | 0.439 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 218 | 262 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.236 | 0.216 | 0.309 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 129 | 168 | 151 | 170 | 167 | 4243 | -1 |
N.S. | 1 | 1.00 | 1.02 | 1.33 | 1.20 | 1.35 | 1.33 | 33.67 | -0.01 |
time (sec) |
N/A | 0.131 | 0.105 | 0.109 | 0.476 | 1.066 | 3.419 | 1.916 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 184 | 281 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.247 | 0.260 | 0.797 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 140 | 156 | 159 | 181 | 218 | 2534 | -1 |
N.S. | 1 | 1.00 | 1.11 | 1.24 | 1.26 | 1.44 | 1.73 | 20.11 | -0.01 |
time (sec) |
N/A | 0.146 | 0.126 | 0.105 | 0.508 | 3.085 | 4.196 | 1.556 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 341 | 341 | 271 | 497 | 463 | 313 | 631 | 943 | -1 |
N.S. | 1 | 1.00 | 0.79 | 1.46 | 1.36 | 0.92 | 1.85 | 2.77 | -0.00 |
time (sec) |
N/A | 0.309 | 0.197 | 0.138 | 0.487 | 2.720 | 3.759 | 0.431 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 380 | 380 | 276 | 449 | 423 | 312 | 597 | 807 | -1 |
N.S. | 1 | 1.00 | 0.73 | 1.18 | 1.11 | 0.82 | 1.57 | 2.12 | -0.00 |
time (sec) |
N/A | 0.355 | 0.169 | 0.131 | 0.500 | 2.215 | 2.731 | 0.437 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 287 | 287 | 231 | 417 | 382 | 270 | 525 | 711 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.45 | 1.33 | 0.94 | 1.83 | 2.48 | -0.00 |
time (sec) |
N/A | 0.262 | 0.155 | 0.142 | 0.499 | 2.398 | 1.688 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 232 | 376 | 342 | 267 | 483 | 597 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.46 | 1.33 | 1.03 | 1.87 | 2.31 | -0.00 |
time (sec) |
N/A | 0.197 | 0.139 | 0.128 | 0.497 | 1.804 | 1.203 | 0.425 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 187 | 325 | 290 | 222 | 389 | 480 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.44 | 1.29 | 0.99 | 1.73 | 2.13 | -0.00 |
time (sec) |
N/A | 0.183 | 0.133 | 0.089 | 0.492 | 1.061 | 0.774 | 0.427 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 357 | 357 | 322 | 391 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.335 | 0.331 | 0.280 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 183 | 264 | 239 | 232 | 272 | 10769 | -1 |
N.S. | 1 | 1.00 | 0.96 | 1.39 | 1.26 | 1.22 | 1.43 | 56.68 | -0.01 |
time (sec) |
N/A | 0.189 | 0.143 | 0.097 | 0.482 | 2.318 | 4.708 | 11.476 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 262 | 396 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.559 | 0.255 | 0.494 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 194 | 249 | 229 | 249 | 309 | 7971 | -1 |
N.S. | 1 | 1.00 | 1.04 | 1.34 | 1.23 | 1.34 | 1.66 | 42.85 | -0.01 |
time (sec) |
N/A | 0.231 | 0.181 | 0.100 | 0.504 | 1.898 | 5.779 | 8.063 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 260 | 465 | 420 | 307 | 593 | 766 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.47 | 1.32 | 0.97 | 1.87 | 2.42 | -0.00 |
time (sec) |
N/A | 0.244 | 0.172 | 0.098 | 0.482 | 2.302 | 1.573 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 653 | 653 | 515 | 394 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 0.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.775 | 0.571 | 12.527 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 559 | 559 | 475 | 2912 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 5.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.634 | 0.256 | 0.956 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 579 | 579 | 456 | 300 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 0.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.633 | 0.226 | 2.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 491 | 491 | 399 | 2789 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.81 | 5.68 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.515 | 0.097 | 0.266 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 541 | 541 | 490 | 243 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.45 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.525 | 0.302 | 0.137 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 518 | 518 | 441 | 352 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.654 | 0.482 | 0.371 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 579 | 579 | 455 | 369 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.651 | 0.220 | 1.451 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 573 | 573 | 483 | 446 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.667 | 1.473 | 0.457 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 649 | 649 | 531 | 488 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.697 | 0.248 | 1.354 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 574 | 574 | 593 | 2962 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.03 | 5.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.702 | 0.741 | 0.872 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 83 | 87 | 418 | 0 | 417 | 0 | 0 | -1 |
N.S. | 1 | 0.97 | 1.01 | 4.86 | 0.00 | 4.85 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.042 | 0.099 | 2.125 | 0.000 | 2.029 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | C | F | F | F | F(-1) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 597 | 597 | 0 | 488 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.724 | 2.314 | 0.461 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | C | F | F | F | F(-1) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 632 | 632 | 0 | 694 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.738 | 3.851 | 0.536 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 787 | 787 | 649 | 1765 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.474 | 1.001 | 8.150 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 745 | 745 | 603 | 1698 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.81 | 2.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.392 | 0.768 | 1.738 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 757 | 757 | 591 | 1706 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 2.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.704 | 1.142 | 3.223 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 795 | 795 | 672 | 1839 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 2.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.436 | 0.980 | 6.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 705 | 705 | 973 | 5185 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.38 | 7.35 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.798 | 4.612 | 6.320 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 152 | 1060 | 0 | 939 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 6.93 | 0.00 | 6.14 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.144 | 0.356 | 0.108 | 0.000 | 2.459 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 141 | 1021 | 0 | 793 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.06 | 7.68 | 0.00 | 5.96 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 0.393 | 0.115 | 0.000 | 8.009 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | C | F | F | F | F(-1) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 727 | 727 | 0 | 1373 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.816 | 4.694 | 0.668 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | C | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 783 | 783 | 0 | 1820 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 2.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.857 | 6.325 | 0.678 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1082 | 1082 | 1014 | 3126 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 2.89 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.413 | 3.969 | 8.032 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1092 | 1092 | 1014 | 2278 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 2.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.827 | 4.245 | 4.095 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1092 | 1092 | 1033 | 3127 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 2.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.880 | 4.161 | 1.897 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.014 | 3.768 | 1.316 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.015 | 3.087 | 0.961 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 74 | 0 | 0 | 142 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 2.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.070 | 0.075 | 0.819 | 0.000 | 2.175 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 190 | 0 | 0 | 333 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.30 | 0.00 | 0.00 | 2.28 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.107 | 0.156 | 0.837 | 0.000 | 1.719 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 188 | 0 | 0 | 660 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 2.92 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.575 | 0.267 | 0.822 | 0.000 | 3.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 484 | 455 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.601 | 5.190 | 18.968 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 272 | 2792 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 0.93 | 9.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.306 | 5.564 | 8.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 148 | 508 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 0.92 | 3.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.134 | 1.397 | 3.323 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.043 | 7.178 | 1.845 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.041 | 9.672 | 0.879 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 569 | 569 | 445 | 1194 | 695 | 537 | 989 | 1242 | -1 |
N.S. | 1 | 1.00 | 0.78 | 2.10 | 1.22 | 0.94 | 1.74 | 2.18 | -0.00 |
time (sec) |
N/A | 0.651 | 0.342 | 0.348 | 0.518 | 2.246 | 1.279 | 0.488 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 291 | 635 | 437 | 342 | 595 | 683 | -1 |
N.S. | 1 | 1.00 | 0.87 | 1.90 | 1.30 | 1.02 | 1.78 | 2.04 | -0.00 |
time (sec) |
N/A | 0.385 | 0.237 | 0.147 | 0.537 | 2.298 | 0.705 | 0.429 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 166 | 276 | 225 | 183 | 279 | 285 | -1 |
N.S. | 1 | 1.00 | 1.06 | 1.77 | 1.44 | 1.17 | 1.79 | 1.83 | -0.01 |
time (sec) |
N/A | 0.190 | 0.127 | 0.088 | 0.565 | 2.674 | 0.360 | 0.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 72 | 72 | 65 | 82 | 75 | 142 |
N.S. | 1 | 1.00 | 1.00 | 1.53 | 1.53 | 1.38 | 1.74 | 1.60 | 3.02 |
time (sec) |
N/A | 0.045 | 0.031 | 0.066 | 0.468 | 2.826 | 0.098 | 0.426 | 0.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 821 | 821 | 1101 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.933 | 0.531 | 1.089 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.025 | 10.727 | 0.751 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.025 | 8.738 | 0.744 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.029 | 3.043 | 0.838 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.026 | 6.922 | 0.710 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 253 | 310 | 0 | 0 | 0 | 633 | -1 |
N.S. | 1 | 1.00 | 0.65 | 0.80 | 0.00 | 0.00 | 0.00 | 1.64 | -0.00 |
time (sec) |
N/A | 0.528 | 0.384 | 0.179 | 0.000 | 0.000 | 0.000 | 0.468 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 125 | 142 | 0 | 0 | 0 | 229 | -1 |
N.S. | 1 | 1.00 | 0.70 | 0.79 | 0.00 | 0.00 | 0.00 | 1.28 | -0.01 |
time (sec) |
N/A | 0.223 | 0.172 | 0.063 | 0.000 | 0.000 | 0.000 | 0.435 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 44 | 48 | 0 | 0 | 0 | 49 | -1 |
N.S. | 1 | 1.00 | 0.83 | 0.91 | 0.00 | 0.00 | 0.00 | 0.92 | -0.02 |
time (sec) |
N/A | 0.046 | 0.021 | 0.063 | 0.000 | 0.000 | 0.000 | 0.412 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.024 | 0.502 | 0.947 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.023 | 2.313 | 3.223 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.028 | 0.799 | 0.408 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.030 | 0.793 | 0.424 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.032 | 1.100 | 0.395 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.033 | 2.691 | 0.422 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 498 | 498 | 359 | 795 | 0 | 0 | 0 | 2337 | -1 |
N.S. | 1 | 1.00 | 0.72 | 1.60 | 0.00 | 0.00 | 0.00 | 4.69 | -0.00 |
time (sec) |
N/A | 0.513 | 1.300 | 0.427 | 0.000 | 0.000 | 0.000 | 0.486 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 191 | 367 | 0 | 0 | 0 | 891 | -1 |
N.S. | 1 | 1.00 | 0.77 | 1.47 | 0.00 | 0.00 | 0.00 | 3.58 | -0.00 |
time (sec) |
N/A | 0.267 | 0.630 | 0.210 | 0.000 | 0.000 | 0.000 | 0.459 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 72 | 76 | 0 | 0 | 0 | 192 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.88 | 0.00 | 0.00 | 0.00 | 2.23 | -0.01 |
time (sec) |
N/A | 0.110 | 0.124 | 0.067 | 0.000 | 0.000 | 0.000 | 0.438 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.024 | 13.724 | 1.105 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.022 | 35.858 | 3.622 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.028 | 4.908 | 0.417 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.029 | 8.504 | 0.434 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.032 | 18.605 | 0.412 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.031 | 35.552 | 0.408 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 754 | 754 | 400 | 1155 | 0 | 0 | 0 | 3216 | -1 |
N.S. |
1 | 1.00 | 0.53 | 1.53 | 0.00 | 0.00 | 0.00 | 4.27 | -0.00 |
time (sec) |
N/A | 1.504 | 0.958 | 0.797 | 0.000 | 0.000 | 0.000 | 1.664 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 244 | 555 | 0 | 0 | 0 | 1661 | -1 |
N.S. |
1 | 1.00 | 0.66 | 1.50 | 0.00 | 0.00 | 0.00 | 4.50 | -0.00 |
time (sec) |
N/A | 0.640 | 0.352 | 0.386 | 0.000 | 0.000 | 0.000 | 1.195 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 119 | 187 | 0 | 0 | 0 | 531 | -1 |
N.S. |
1 | 1.00 | 0.99 | 1.56 | 0.00 | 0.00 | 0.00 | 4.42 | -0.01 |
time (sec) |
N/A | 0.162 | 0.073 | 0.015 | 0.000 | 0.000 | 0.000 | 0.624 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.034 | 6.585 | 0.793 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.031 | 13.555 | 1.592 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 482 | 482 | 873 | 850 | 0 | 0 | 0 | 2814 | -1 |
N.S. |
1 | 1.00 | 1.81 | 1.76 | 0.00 | 0.00 | 0.00 | 5.84 | -0.00 |
time (sec) |
N/A | 0.948 | 8.703 | 0.472 | 0.000 | 0.000 | 0.000 | 1.757 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 291 | 278 | 0 | 0 | 0 | 993 | -1 |
N.S. |
1 | 1.00 | 1.83 | 1.75 | 0.00 | 0.00 | 0.00 | 6.25 | -0.01 |
time (sec) |
N/A | 0.182 | 1.867 | 0.000 | 0.000 | 0.000 | 0.000 | 1.058 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.038 | 2.255 | 0.760 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.036 | 7.139 | 1.615 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 679 | 679 | 401 | 664 | 0 | 0 | 0 | 975 | -1 |
N.S. |
1 | 1.00 | 0.59 | 0.98 | 0.00 | 0.00 | 0.00 | 1.44 | -0.00 |
time (sec) |
N/A | 0.982 | 0.989 | 0.572 | 0.000 | 0.000 | 0.000 | 0.838 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 246 | 310 | 0 | 0 | 0 | 481 | -1 |
N.S. |
1 | 1.00 | 0.75 | 0.94 | 0.00 | 0.00 | 0.00 | 1.46 | -0.00 |
time (sec) |
N/A | 0.417 | 0.359 | 0.304 | 0.000 | 0.000 | 0.000 | 0.692 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 121 | 90 | 0 | 0 | 0 | 159 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.89 | 0.00 | 0.00 | 0.00 | 1.57 | -0.01 |
time (sec) |
N/A | 0.069 | 0.067 | 0.040 | 0.000 | 0.000 | 0.000 | 0.459 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.037 | 0.099 | 0.783 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.034 | 0.057 | 1.411 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 394 | 394 | 417 | 460 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.506 | 0.699 | 0.406 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |