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 | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 321 | 200 | 234 | 310 | 4258 | 332 | 208 |
N.S. | 1 | 1.00 | 2.55 | 1.59 | 1.86 | 2.46 | 33.79 | 2.63 | 1.65 |
time (sec) |
N/A | 0.157 | 2.149 | 0.224 | 0.566 | 0.933 | 0.961 | 0.627 | 7.123 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 291 | 304 | 437 | 715 | 0 | 614 | 367 |
N.S. |
1 | 1.00 | 1.36 | 1.42 | 2.04 | 3.34 | 0.00 | 2.87 | 1.71 |
time (sec) |
N/A | 0.248 | 3.735 | 0.263 | 0.532 | 1.029 | 0.000 | 0.729 | 7.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 302 | 302 | 299 | 495 | 382 | 380 | 711 | 8276 | 494 |
N.S. | 1 | 1.00 | 0.99 | 1.64 | 1.26 | 1.26 | 2.35 | 27.40 | 1.64 |
time (sec) |
N/A | 0.358 | 6.425 | 0.135 | 0.590 | 1.322 | 0.272 | 5.776 | 5.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 221 | 307 | 252 | 250 | 445 | 4557 | 259 |
N.S. | 1 | 1.00 | 1.01 | 1.40 | 1.15 | 1.14 | 2.03 | 20.81 | 1.18 |
time (sec) |
N/A | 0.183 | 2.299 | 0.130 | 0.535 | 0.946 | 0.182 | 2.670 | 5.270 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 130 | 159 | 148 | 146 | 240 | 2046 | 142 |
N.S. | 1 | 1.00 | 0.90 | 1.10 | 1.03 | 1.01 | 1.67 | 14.21 | 0.99 |
time (sec) |
N/A | 0.118 | 1.033 | 0.092 | 0.710 | 1.190 | 0.146 | 1.336 | 5.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 126 | 164 | 175 | 206 | 1712 | 176 | 178 |
N.S. | 1 | 1.00 | 0.90 | 1.17 | 1.25 | 1.47 | 12.23 | 1.26 | 1.27 |
time (sec) |
N/A | 0.189 | 0.729 | 0.198 | 0.620 | 1.383 | 0.846 | 0.719 | 5.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 535 | 281 | 312 | 509 | 6730 | 448 | 271 |
N.S. | 1 | 1.00 | 2.33 | 1.22 | 1.36 | 2.21 | 29.26 | 1.95 | 1.18 |
time (sec) |
N/A | 0.243 | 4.625 | 0.305 | 0.601 | 1.413 | 1.375 | 0.795 | 7.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 327 | 422 | 539 | 907 | 0 | 830 | 466 |
N.S. |
1 | 1.00 | 1.37 | 1.77 | 2.26 | 3.79 | 0.00 | 3.47 | 1.95 |
time (sec) |
N/A | 0.356 | 5.768 | 0.321 | 0.656 | 1.426 | 0.000 | 0.948 | 8.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 160 | 221 | 229 | 305 | 2516 | 238 | 235 |
N.S. | 1 | 1.00 | 0.84 | 1.16 | 1.21 | 1.61 | 13.24 | 1.25 | 1.24 |
time (sec) |
N/A | 0.333 | 1.301 | 0.234 | 0.641 | 1.613 | 1.373 | 0.987 | 5.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 126 | 164 | 178 | 211 | 1712 | 177 | 177 |
N.S. | 1 | 1.00 | 0.88 | 1.14 | 1.24 | 1.47 | 11.89 | 1.23 | 1.23 |
time (sec) |
N/A | 0.181 | 0.775 | 0.229 | 0.567 | 1.411 | 0.874 | 0.742 | 5.485 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 108 | 117 | 126 | 137 | 1025 | 126 | 115 |
N.S. | 1 | 1.00 | 1.05 | 1.14 | 1.22 | 1.33 | 9.95 | 1.22 | 1.12 |
time (sec) |
N/A | 0.086 | 0.159 | 0.219 | 0.530 | 0.812 | 0.633 | 0.571 | 5.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 65 | 82 | 91 | 79 | 524 | 97 | 93 |
N.S. | 1 | 1.00 | 1.10 | 1.39 | 1.54 | 1.34 | 8.88 | 1.64 | 1.58 |
time (sec) |
N/A | 0.049 | 0.122 | 0.176 | 0.559 | 1.243 | 0.471 | 0.469 | 5.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 143 | 133 | 180 | 207 | 8053 | 201 | 173 |
N.S. | 1 | 1.00 | 1.21 | 1.13 | 1.53 | 1.75 | 68.25 | 1.70 | 1.47 |
time (sec) |
N/A | 0.108 | 0.368 | 0.259 | 0.546 | 1.058 | 11.754 | 0.509 | 5.754 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 302 | 202 | 389 | 766 | 0 | 542 | 309 |
N.S. |
1 | 1.00 | 1.65 | 1.10 | 2.13 | 4.19 | 0.00 | 2.96 | 1.69 |
time (sec) |
N/A | 0.318 | 3.349 | 0.463 | 0.581 | 1.509 | 0.000 | 0.566 | 6.969 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 529 | 309 | 808 | 1941 | 0 | 1111 | 609 |
N.S. |
1 | 1.00 | 1.90 | 1.11 | 2.90 | 6.96 | 0.00 | 3.98 | 2.18 |
time (sec) |
N/A | 0.631 | 6.895 | 0.806 | 0.647 | 2.760 | 0.000 | 0.703 | 12.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 1789 | 364 | 379 | 713 | 8928 | 589 | 347 |
N.S. | 1 | 1.00 | 6.28 | 1.28 | 1.33 | 2.50 | 31.33 | 2.07 | 1.22 |
time (sec) |
N/A | 0.539 | 7.101 | 0.364 | 0.560 | 1.630 | 2.077 | 1.059 | 9.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 538 | 281 | 314 | 500 | 6730 | 447 | 272 |
N.S. | 1 | 1.00 | 2.41 | 1.26 | 1.41 | 2.24 | 30.18 | 2.00 | 1.22 |
time (sec) |
N/A | 0.253 | 4.792 | 0.277 | 0.550 | 1.659 | 1.501 | 0.834 | 7.752 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 320 | 200 | 233 | 300 | 4258 | 331 | 208 |
N.S. | 1 | 1.00 | 2.54 | 1.59 | 1.85 | 2.38 | 33.79 | 2.63 | 1.65 |
time (sec) |
N/A | 0.156 | 2.167 | 0.208 | 0.543 | 1.184 | 1.008 | 0.649 | 6.953 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 189 | 141 | 181 | 228 | 2878 | 241 | 153 |
N.S. | 1 | 1.00 | 1.70 | 1.27 | 1.63 | 2.05 | 25.93 | 2.17 | 1.38 |
time (sec) |
N/A | 0.109 | 2.249 | 0.209 | 0.532 | 1.329 | 0.890 | 0.542 | 5.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 306 | 203 | 389 | 721 | 0 | 541 | 374 |
N.S. |
1 | 1.00 | 1.66 | 1.10 | 2.11 | 3.92 | 0.00 | 2.94 | 2.03 |
time (sec) |
N/A | 0.357 | 2.237 | 0.392 | 0.544 | 1.630 | 0.000 | 0.581 | 7.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 556 | 289 | 885 | 2231 | 0 | 1395 | 725 |
N.S. |
1 | 1.00 | 1.92 | 1.00 | 3.05 | 7.69 | 0.00 | 4.81 | 2.50 |
time (sec) |
N/A | 0.707 | 6.948 | 0.679 | 0.626 | 2.905 | 0.000 | 0.678 | 10.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 457 | 457 | 840 | 419 | 1842 | 4767 | 0 | 1759 | 1421 |
N.S. |
1 | 1.00 | 1.84 | 0.92 | 4.03 | 10.43 | 0.00 | 3.85 | 3.11 |
time (sec) |
N/A | 1.243 | 7.300 | 1.387 | 0.693 | 4.388 | 0.000 | 0.867 | 34.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 406 | 406 | 2775 | 553 | 646 | 1259 | 0 | 1066 | 578 |
N.S. |
1 | 1.00 | 6.83 | 1.36 | 1.59 | 3.10 | 0.00 | 2.63 | 1.42 |
time (sec) |
N/A | 0.530 | 7.050 | 0.495 | 0.619 | 1.242 | 0.000 | 1.205 | 10.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 327 | 421 | 534 | 870 | 0 | 830 | 466 |
N.S. |
1 | 1.00 | 1.36 | 1.75 | 2.22 | 3.62 | 0.00 | 3.46 | 1.94 |
time (sec) |
N/A | 0.361 | 5.741 | 0.298 | 0.563 | 1.268 | 0.000 | 0.948 | 8.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 292 | 303 | 422 | 672 | 0 | 614 | 367 |
N.S. |
1 | 1.00 | 1.32 | 1.37 | 1.91 | 3.04 | 0.00 | 2.78 | 1.66 |
time (sec) |
N/A | 0.276 | 4.308 | 0.274 | 0.572 | 1.141 | 0.000 | 0.745 | 7.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 244 | 208 | 327 | 491 | 0 | 422 | 279 |
N.S. |
1 | 1.00 | 1.38 | 1.18 | 1.85 | 2.77 | 0.00 | 2.38 | 1.58 |
time (sec) |
N/A | 0.203 | 4.525 | 0.278 | 0.671 | 1.056 | 0.000 | 0.650 | 5.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 286 | 286 | 409 | 311 | 806 | 1855 | 0 | 1112 | 719 |
N.S. |
1 | 1.00 | 1.43 | 1.09 | 2.82 | 6.49 | 0.00 | 3.89 | 2.51 |
time (sec) |
N/A | 0.666 | 5.599 | 0.717 | 0.602 | 2.904 | 0.000 | 0.679 | 12.644 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 457 | 457 | 833 | 419 | 1858 | 4817 | 0 | 1758 | 1417 |
N.S. |
1 | 1.00 | 1.82 | 0.92 | 4.07 | 10.54 | 0.00 | 3.85 | 3.10 |
time (sec) |
N/A | 1.283 | 7.302 | 1.324 | 0.697 | 6.130 | 0.000 | 0.905 | 18.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 194 | 1096 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.93 | 5.24 | 0.00 | 0.00 | 0.00 | 0.00 | 11.96 |
time (sec) |
N/A | 0.386 | 2.317 | 0.515 | 0.000 | 0.000 | 0.000 | 0.000 | 21.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 149 | 890 | 0 | 16199 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.95 | 5.67 | 0.00 | 103.18 | 0.00 | 0.00 | 15.92 |
time (sec) |
N/A | 0.243 | 0.588 | 0.433 | 0.000 | 99.739 | 0.000 | 0.000 | 9.663 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 120 | 632 | 0 | 8653 | 0 | 0 | 845 |
N.S. |
1 | 1.00 | 0.98 | 5.18 | 0.00 | 70.93 | 0.00 | 0.00 | 6.93 |
time (sec) |
N/A | 0.154 | 0.147 | 0.449 | 0.000 | 11.891 | 0.000 | 0.000 | 7.649 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 158 | 693 | 0 | 16728 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.93 | 4.08 | 0.00 | 98.40 | 0.00 | 0.00 | 14.71 |
time (sec) |
N/A | 0.329 | 0.340 | 0.554 | 0.000 | 102.595 | 0.000 | 0.000 | 9.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 276 | 992 | 0 | 32681 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.19 | 4.29 | 0.00 | 141.48 | 0.00 | 0.00 | 10.82 |
time (sec) |
N/A | 0.539 | 2.077 | 0.516 | 0.000 | 240.135 | 0.000 | 0.000 | 11.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 342 | 342 | 747 | 1277 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.18 | 3.73 | 0.00 | 0.00 | 0.00 | 0.00 | 7.31 |
time (sec) |
N/A | 1.067 | 6.353 | 0.538 | 0.000 | 0.000 | 0.000 | 0.000 | 35.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 256 | 256 | 247 | 1748 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.96 | 6.83 | 0.00 | 0.00 | 0.00 | 0.00 | 9.77 |
time (sec) |
N/A | 0.510 | 3.464 | 0.532 | 0.000 | 0.000 | 0.000 | 0.000 | 79.384 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 202 | 1366 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.04 | 7.01 | 0.00 | 0.00 | 0.00 | 0.00 | 12.82 |
time (sec) |
N/A | 0.306 | 1.706 | 0.450 | 0.000 | 0.000 | 0.000 | 0.000 | 21.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 140 | 918 | 0 | 0 | 0 | 0 | 2823 |
N.S. |
1 | 1.00 | 0.93 | 6.12 | 0.00 | 0.00 | 0.00 | 0.00 | 18.82 |
time (sec) |
N/A | 0.215 | 0.560 | 0.419 | 0.000 | 0.000 | 0.000 | 0.000 | 17.414 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 168 | 957 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.99 | 5.63 | 0.00 | 0.00 | 0.00 | 0.00 | 14.71 |
time (sec) |
N/A | 0.339 | 0.407 | 0.558 | 0.000 | 0.000 | 0.000 | 0.000 | 13.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 316 | 1413 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.32 | 5.91 | 0.00 | 0.00 | 0.00 | 0.00 | 10.46 |
time (sec) |
N/A | 0.625 | 3.291 | 0.542 | 0.000 | 0.000 | 0.000 | 0.000 | 12.952 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 341 | 341 | 2093 | 1872 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 6.14 | 5.49 | 0.00 | 0.00 | 0.00 | 0.00 | 7.33 |
time (sec) |
N/A | 1.301 | 6.340 | 0.608 | 0.000 | 0.000 | 0.000 | 0.000 | 36.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 413 | 2491 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.28 | 7.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.634 | 6.210 | 0.503 | 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 | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 262 | 1892 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.13 | 8.19 | 0.00 | 0.00 | 0.00 | 0.00 | 10.82 |
time (sec) |
N/A | 0.409 | 2.144 | 0.483 | 0.000 | 0.000 | 0.000 | 0.000 | 68.218 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 233 | 1251 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.24 | 6.65 | 0.00 | 0.00 | 0.00 | 0.00 | 13.30 |
time (sec) |
N/A | 0.300 | 1.130 | 0.454 | 0.000 | 0.000 | 0.000 | 0.000 | 34.414 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 199 | 1278 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.02 | 6.55 | 0.00 | 0.00 | 0.00 | 0.00 | 12.82 |
time (sec) |
N/A | 0.614 | 0.591 | 0.555 | 0.000 | 0.000 | 0.000 | 0.000 | 13.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 333 | 1863 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.37 | 7.67 | 0.00 | 0.00 | 0.00 | 0.00 | 10.29 |
time (sec) |
N/A | 0.768 | 5.120 | 0.539 | 0.000 | 0.000 | 0.000 | 0.000 | 16.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | F(-1) | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 355 | 355 | 2946 | 2485 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 8.30 | 7.00 | 0.00 | 0.00 | 0.00 | 0.00 | 7.04 |
time (sec) |
N/A | 1.295 | 6.472 | 0.546 | 0.000 | 0.000 | 0.000 | 0.000 | 44.603 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 235 | 3444 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.95 | 13.89 | 0.00 | 0.00 | 0.00 | 0.00 | 10.08 |
time (sec) |
N/A | 0.492 | 3.447 | 0.432 | 0.000 | 0.000 | 0.000 | 0.000 | 16.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 178 | 2772 | 0 | 0 | 0 | 0 | 3017 |
N.S. |
1 | 1.00 | 1.00 | 15.57 | 0.00 | 0.00 | 0.00 | 0.00 | 16.95 |
time (sec) |
N/A | 0.290 | 1.106 | 0.473 | 0.000 | 0.000 | 0.000 | 0.000 | 9.566 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 129 | 2010 | 0 | 14968 | 0 | 0 | 2287 |
N.S. |
1 | 1.00 | 0.96 | 15.00 | 0.00 | 111.70 | 0.00 | 0.00 | 17.07 |
time (sec) |
N/A | 0.172 | 0.238 | 0.433 | 0.000 | 55.508 | 0.000 | 0.000 | 7.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 101 | 1399 | 0 | 8324 | 0 | 0 | 2909 |
N.S. |
1 | 1.00 | 0.99 | 13.72 | 0.00 | 81.61 | 0.00 | 0.00 | 28.52 |
time (sec) |
N/A | 0.114 | 0.152 | 0.462 | 0.000 | 4.676 | 0.000 | 0.000 | 7.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 158 | 1468 | 0 | 23416 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.93 | 8.64 | 0.00 | 137.74 | 0.00 | 0.00 | 14.71 |
time (sec) |
N/A | 0.303 | 0.442 | 0.523 | 0.000 | 95.663 | 0.000 | 0.000 | 10.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 258 | 2144 | 0 | 47721 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 8.79 | 0.00 | 195.58 | 0.00 | 0.00 | 10.25 |
time (sec) |
N/A | 0.614 | 2.432 | 0.558 | 0.000 | 174.501 | 0.000 | 0.000 | 15.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 415 | 5655 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.31 | 17.84 | 0.00 | 0.00 | 0.00 | 0.00 | 7.89 |
time (sec) |
N/A | 0.635 | 6.360 | 0.514 | 0.000 | 0.000 | 0.000 | 0.000 | 23.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 287 | 4572 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.33 | 21.17 | 0.00 | 0.00 | 0.00 | 0.00 | 11.57 |
time (sec) |
N/A | 0.351 | 1.842 | 0.533 | 0.000 | 0.000 | 0.000 | 0.000 | 13.180 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 124 | 3311 | 0 | 35751 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.83 | 22.07 | 0.00 | 238.34 | 0.00 | 0.00 | 16.67 |
time (sec) |
N/A | 0.221 | 0.186 | 0.458 | 0.000 | 240.231 | 0.000 | 0.000 | 12.224 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 113 | 2268 | 0 | 20798 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.82 | 16.43 | 0.00 | 150.71 | 0.00 | 0.00 | 18.12 |
time (sec) |
N/A | 0.172 | 0.202 | 0.437 | 0.000 | 36.059 | 0.000 | 0.000 | 11.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 247 | 2353 | 0 | 62414 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.17 | 11.15 | 0.00 | 295.80 | 0.00 | 0.00 | 11.85 |
time (sec) |
N/A | 0.647 | 2.131 | 0.569 | 0.000 | 208.288 | 0.000 | 0.000 | 20.908 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 314 | 314 | 628 | 3448 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.00 | 10.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.020 | 6.269 | 0.596 | 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(-1) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 368 | 8858 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.27 | 30.54 | 0.00 | 0.00 | 0.00 | 0.00 | 8.62 |
time (sec) |
N/A | 0.717 | 3.662 | 0.550 | 0.000 | 0.000 | 0.000 | 0.000 | 35.673 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 284 | 6646 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.30 | 30.35 | 0.00 | 0.00 | 0.00 | 0.00 | 11.42 |
time (sec) |
N/A | 0.461 | 1.588 | 0.494 | 0.000 | 0.000 | 0.000 | 0.000 | 24.497 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 127 | 5088 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.65 | 26.09 | 0.00 | 0.00 | 0.00 | 0.00 | 12.82 |
time (sec) |
N/A | 0.343 | 0.217 | 0.514 | 0.000 | 0.000 | 0.000 | 0.000 | 22.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 115 | 3236 | 0 | 35738 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.62 | 17.40 | 0.00 | 192.14 | 0.00 | 0.00 | 13.44 |
time (sec) |
N/A | 0.275 | 0.182 | 0.508 | 0.000 | 148.694 | 0.000 | 0.000 | 22.926 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 272 | 272 | 323 | 3329 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 12.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.029 | 5.215 | 0.575 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 425 | 425 | 2536 | 5222 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.97 | 12.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.786 | 6.275 | 0.661 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 337 | 337 | 565 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.843 | 6.029 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 1518 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.640 | 6.121 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 261 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.691 | 2.145 | 180.000 | 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(-2) | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 167 | 1278217828 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 7841827.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.145 | 0.187 | 291.364 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 224 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.509 | 1.738 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 266 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.814 | 4.858 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 330 | 330 | 2566 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 3.187 | 6.144 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 1526 | 1613618305 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.91 | 6254334.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.568 | 6.093 | 305.833 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 292 | 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 | 0.823 | 1.667 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 231 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.562 | 1.929 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 264 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.889 | 3.346 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 391 | 391 | 498 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.420 | 6.268 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 429 | 429 | 773 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 4.089 | 8.215 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 339 | 339 | 550 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.841 | 6.704 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 432 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.895 | 2.990 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 1187 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.384 | 6.207 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 292 | 292 | 350 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.077 | 5.577 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 398 | 398 | 440 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.594 | 6.036 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 438 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.849 | 3.425 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 294 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.846 | 1.985 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 167 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.141 | 0.168 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F(-1) | F(-2) | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.137 | 0.167 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 232 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.511 | 1.512 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 308 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.851 | 2.219 | 180.000 | 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(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 1877 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.910 | 6.355 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 1503 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.194 | 6.195 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 231 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.538 | 2.060 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 224 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.459 | 1.693 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 243 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.493 | 1.115 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 301 | 301 | 349 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.848 | 4.949 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 417 | 417 | 601 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.321 | 6.482 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F(-1) | F(-1) | F(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 470 | 470 | 2261 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 4.619 | 6.753 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-1) | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 347 | 347 | 1883 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 4.211 | 6.426 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 292 | 292 | 350 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.053 | 5.844 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 264 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.876 | 3.150 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 266 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.798 | 4.932 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |