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 | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 472 | 247 | 0 | 657 | 0 | 287 | 2500 |
N.S. |
1 | 1.00 | 3.08 | 1.61 | 0.00 | 4.29 | 0.00 | 1.88 | 16.34 |
time (sec) |
N/A | 0.325 | 2.742 | 0.297 | 0.000 | 31.285 | 0.000 | 0.512 | 12.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 365 | 152 | 0 | 482 | 0 | 180 | 2500 |
N.S. |
1 | 1.00 | 3.44 | 1.43 | 0.00 | 4.55 | 0.00 | 1.70 | 23.58 |
time (sec) |
N/A | 0.166 | 2.559 | 0.243 | 0.000 | 8.448 | 0.000 | 0.523 | 11.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 261 | 119 | 0 | 372 | 0 | 149 | 2500 |
N.S. |
1 | 1.00 | 2.78 | 1.27 | 0.00 | 3.96 | 0.00 | 1.59 | 26.60 |
time (sec) |
N/A | 0.126 | 0.555 | 0.234 | 0.000 | 5.927 | 0.000 | 0.498 | 15.577 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 92 | 119 | 0 | 336 | 0 | 146 | 2500 |
N.S. |
1 | 1.00 | 0.94 | 1.21 | 0.00 | 3.43 | 0.00 | 1.49 | 25.51 |
time (sec) |
N/A | 0.163 | 0.240 | 0.172 | 0.000 | 4.226 | 0.000 | 0.480 | 8.376 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 131 | 180 | 0 | 454 | 0 | 239 | 2500 |
N.S. |
1 | 1.00 | 0.90 | 1.24 | 0.00 | 3.13 | 0.00 | 1.65 | 17.24 |
time (sec) |
N/A | 0.323 | 0.460 | 0.347 | 0.000 | 3.592 | 0.000 | 0.451 | 12.197 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 178 | 275 | 0 | 599 | 0 | 424 | 2500 |
N.S. |
1 | 1.00 | 0.87 | 1.34 | 0.00 | 2.92 | 0.00 | 2.07 | 12.20 |
time (sec) |
N/A | 0.530 | 0.638 | 0.392 | 0.000 | 4.808 | 0.000 | 0.479 | 13.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 235 | 456 | 0 | 765 | 0 | 801 | 2500 |
N.S. |
1 | 1.00 | 0.85 | 1.65 | 0.00 | 2.77 | 0.00 | 2.90 | 9.06 |
time (sec) |
N/A | 0.779 | 0.865 | 0.483 | 0.000 | 3.723 | 0.000 | 0.486 | 15.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 407 | 407 | 605 | 492 | 0 | 1835 | 0 | 627 | 2500 |
N.S. |
1 | 1.00 | 1.49 | 1.21 | 0.00 | 4.51 | 0.00 | 1.54 | 6.14 |
time (sec) |
N/A | 1.243 | 4.230 | 1.381 | 0.000 | 146.178 | 0.000 | 0.537 | 17.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 312 | 312 | 519 | 365 | 0 | 1505 | 0 | 428 | 2500 |
N.S. |
1 | 1.00 | 1.66 | 1.17 | 0.00 | 4.82 | 0.00 | 1.37 | 8.01 |
time (sec) |
N/A | 0.894 | 3.226 | 1.227 | 0.000 | 125.335 | 0.000 | 0.503 | 17.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 382 | 261 | 0 | 1156 | 0 | 443 | 2500 |
N.S. |
1 | 1.00 | 2.16 | 1.47 | 0.00 | 6.53 | 0.00 | 2.50 | 14.12 |
time (sec) |
N/A | 0.454 | 3.203 | 0.848 | 0.000 | 54.359 | 0.000 | 0.498 | 14.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 356 | 200 | 0 | 728 | 0 | 250 | 2500 |
N.S. |
1 | 1.00 | 2.41 | 1.35 | 0.00 | 4.92 | 0.00 | 1.69 | 16.89 |
time (sec) |
N/A | 0.234 | 3.301 | 0.681 | 0.000 | 12.999 | 0.000 | 0.534 | 13.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 299 | 181 | 0 | 593 | 0 | 222 | 2500 |
N.S. |
1 | 1.00 | 2.17 | 1.31 | 0.00 | 4.30 | 0.00 | 1.61 | 18.12 |
time (sec) |
N/A | 0.185 | 2.424 | 0.299 | 0.000 | 3.193 | 0.000 | 0.498 | 13.317 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 160 | 228 | 0 | 826 | 0 | 1240 | 2500 |
N.S. |
1 | 1.00 | 0.79 | 1.13 | 0.00 | 4.09 | 0.00 | 6.14 | 12.38 |
time (sec) |
N/A | 0.457 | 1.019 | 0.401 | 0.000 | 3.715 | 0.000 | 0.614 | 9.851 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 206 | 300 | 0 | 1102 | 0 | 380 | 2500 |
N.S. |
1 | 1.00 | 0.69 | 1.01 | 0.00 | 3.70 | 0.00 | 1.28 | 8.39 |
time (sec) |
N/A | 0.888 | 1.512 | 0.506 | 0.000 | 3.044 | 0.000 | 0.502 | 15.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 255 | 397 | 0 | 1347 | 0 | 564 | 2500 |
N.S. |
1 | 1.00 | 0.64 | 1.00 | 0.00 | 3.40 | 0.00 | 1.42 | 6.31 |
time (sec) |
N/A | 1.271 | 1.849 | 0.566 | 0.000 | 3.832 | 0.000 | 0.509 | 17.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | F(-1) | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 465 | 465 | 1124 | 554 | 0 | 0 | 0 | 1740 | 2500 |
N.S. |
1 | 1.00 | 2.42 | 1.19 | 0.00 | 0.00 | 0.00 | 3.74 | 5.38 |
time (sec) |
N/A | 3.532 | 6.471 | 2.373 | 0.000 | 0.000 | 0.000 | 0.632 | 21.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 323 | 323 | 492 | 430 | 0 | 2217 | 0 | 705 | 2500 |
N.S. |
1 | 1.00 | 1.52 | 1.33 | 0.00 | 6.86 | 0.00 | 2.18 | 7.74 |
time (sec) |
N/A | 2.134 | 2.880 | 1.733 | 0.000 | 169.574 | 0.000 | 0.602 | 17.606 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 514 | 364 | 0 | 1501 | 0 | 632 | 2500 |
N.S. |
1 | 1.00 | 2.12 | 1.50 | 0.00 | 6.20 | 0.00 | 2.61 | 10.33 |
time (sec) |
N/A | 0.678 | 6.125 | 1.283 | 0.000 | 53.992 | 0.000 | 0.593 | 15.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 410 | 268 | 0 | 848 | 0 | 510 | 280 |
N.S. |
1 | 1.00 | 2.03 | 1.33 | 0.00 | 4.20 | 0.00 | 2.52 | 1.39 |
time (sec) |
N/A | 0.334 | 4.616 | 0.570 | 0.000 | 2.854 | 0.000 | 0.556 | 7.837 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 793 | 345 | 0 | 1237 | 0 | 606 | 2500 |
N.S. |
1 | 1.00 | 3.46 | 1.51 | 0.00 | 5.40 | 0.00 | 2.65 | 10.92 |
time (sec) |
N/A | 0.563 | 6.834 | 0.559 | 0.000 | 2.887 | 0.000 | 0.539 | 17.181 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 330 | 330 | 1015 | 398 | 0 | 1680 | 0 | 667 | 2500 |
N.S. |
1 | 1.00 | 3.08 | 1.21 | 0.00 | 5.09 | 0.00 | 2.02 | 7.58 |
time (sec) |
N/A | 2.193 | 7.138 | 0.706 | 0.000 | 2.983 | 0.000 | 0.558 | 11.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 453 | 453 | 881 | 487 | 0 | 2127 | 0 | 3408 | 2500 |
N.S. |
1 | 1.00 | 1.94 | 1.08 | 0.00 | 4.70 | 0.00 | 7.52 | 5.52 |
time (sec) |
N/A | 3.491 | 4.972 | 0.493 | 0.000 | 4.302 | 0.000 | 0.933 | 21.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | F(-1) | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 470 | 470 | 1197 | 679 | 0 | 0 | 0 | 1264 | 2500 |
N.S. |
1 | 1.00 | 2.55 | 1.44 | 0.00 | 0.00 | 0.00 | 2.69 | 5.32 |
time (sec) |
N/A | 8.205 | 6.503 | 1.165 | 0.000 | 0.000 | 0.000 | 0.578 | 20.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 358 | 358 | 1302 | 584 | 0 | 2466 | 0 | 1135 | 2500 |
N.S. |
1 | 1.00 | 3.64 | 1.63 | 0.00 | 6.89 | 0.00 | 3.17 | 6.98 |
time (sec) |
N/A | 1.740 | 7.432 | 1.307 | 0.000 | 135.842 | 0.000 | 0.567 | 19.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 314 | 314 | 299 | 453 | 0 | 1420 | 0 | 970 | 516 |
N.S. |
1 | 1.00 | 0.95 | 1.44 | 0.00 | 4.52 | 0.00 | 3.09 | 1.64 |
time (sec) |
N/A | 0.752 | 1.618 | 0.533 | 0.000 | 2.797 | 0.000 | 0.603 | 7.698 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 299 | 299 | 538 | 452 | 0 | 1414 | 0 | 968 | 516 |
N.S. |
1 | 1.00 | 1.80 | 1.51 | 0.00 | 4.73 | 0.00 | 3.24 | 1.73 |
time (sec) |
N/A | 0.622 | 7.372 | 0.514 | 0.000 | 2.660 | 0.000 | 0.577 | 8.398 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 1230 | 565 | 0 | 2056 | 0 | 1106 | 2500 |
N.S. |
1 | 1.00 | 3.66 | 1.68 | 0.00 | 6.12 | 0.00 | 3.29 | 7.44 |
time (sec) |
N/A | 1.471 | 7.957 | 0.474 | 0.000 | 3.267 | 0.000 | 0.583 | 18.655 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 471 | 471 | 1367 | 646 | 0 | 2766 | 0 | 1225 | 2500 |
N.S. |
1 | 1.00 | 2.90 | 1.37 | 0.00 | 5.87 | 0.00 | 2.60 | 5.31 |
time (sec) |
N/A | 8.208 | 8.304 | 0.612 | 0.000 | 3.144 | 0.000 | 0.589 | 13.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 648 | 648 | 658 | 771 | 0 | 3454 | 0 | 1438 | 2500 |
N.S. |
1 | 1.00 | 1.02 | 1.19 | 0.00 | 5.33 | 0.00 | 2.22 | 3.86 |
time (sec) |
N/A | 10.808 | 7.053 | 0.728 | 0.000 | 3.581 | 0.000 | 0.575 | 27.988 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 23 | 40 | 0 | 45 | 73 | 53 | 258 |
N.S. |
1 | 1.00 | 0.96 | 1.67 | 0.00 | 1.88 | 3.04 | 2.21 | 10.75 |
time (sec) |
N/A | 0.016 | 0.014 | 0.066 | 0.000 | 2.159 | 2.259 | 0.526 | 4.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 76 | 81 | 0 | 285 | 0 | 309 | 1169 |
N.S. |
1 | 1.00 | 1.01 | 1.08 | 0.00 | 3.80 | 0.00 | 4.12 | 15.59 |
time (sec) |
N/A | 0.111 | 0.218 | 0.129 | 0.000 | 2.831 | 0.000 | 0.480 | 7.945 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 211 | 182 | 0 | 714 | 0 | 223 | 2500 |
N.S. |
1 | 1.00 | 1.51 | 1.30 | 0.00 | 5.10 | 0.00 | 1.59 | 17.86 |
time (sec) |
N/A | 0.291 | 0.899 | 0.228 | 0.000 | 3.912 | 0.000 | 0.544 | 12.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 302 | 317 | 0 | 1443 | 0 | 515 | 2500 |
N.S. |
1 | 1.00 | 1.31 | 1.37 | 0.00 | 6.25 | 0.00 | 2.23 | 10.82 |
time (sec) |
N/A | 0.794 | 1.896 | 0.362 | 0.000 | 4.808 | 0.000 | 0.626 | 11.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 1097 | 526 | 0 | 2408 | 0 | 860 | 2500 |
N.S. |
1 | 1.00 | 3.26 | 1.57 | 0.00 | 7.17 | 0.00 | 2.56 | 7.44 |
time (sec) |
N/A | 3.178 | 5.452 | 0.546 | 0.000 | 5.031 | 0.000 | 0.666 | 16.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 517 | 517 | 920 | 5960 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.78 | 11.53 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.066 | 20.350 | 1.140 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 413 | 413 | 667 | 4339 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.62 | 10.51 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.630 | 20.345 | 0.621 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 324 | 324 | 579 | 3344 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.79 | 10.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.411 | 20.217 | 0.405 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 366 | 366 | 5287 | 2334 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 14.45 | 6.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.283 | 24.539 | 0.238 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 362 | 362 | 922 | 2150 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.55 | 5.94 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.285 | 18.203 | 0.243 | 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(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 435 | 435 | 1842 | 2623 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.23 | 6.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.527 | 20.027 | 0.211 | 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 | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 538 | 538 | 542 | 3762 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 6.99 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.839 | 14.625 | 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 | B | F(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 628 | 628 | 1087 | 7208 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.73 | 11.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.786 | 21.318 | 1.664 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 505 | 505 | 4186 | 5945 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.29 | 11.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.921 | 22.858 | 1.118 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 406 | 406 | 3724 | 4527 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.17 | 11.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.556 | 26.275 | 0.619 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 443 | 443 | 6946 | 3927 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 15.68 | 8.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.448 | 26.471 | 0.410 | 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 | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 426 | 426 | 7670 | 3361 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 18.00 | 7.89 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.445 | 26.085 | 0.328 | 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 | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 442 | 442 | 538 | 3595 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.22 | 8.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.534 | 20.246 | 0.342 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 540 | 540 | 5040 | 4138 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.33 | 7.66 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.881 | 24.399 | 0.279 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 650 | 650 | 759 | 5474 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.17 | 8.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.318 | 17.153 | 0.378 | 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(-1) | F | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 610 | 610 | 1090 | 7208 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.79 | 11.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.458 | 21.878 | 1.655 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 502 | 502 | 4220 | 6163 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.41 | 12.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.858 | 26.741 | 1.139 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 521 | 521 | 1401 | 5138 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.69 | 9.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.661 | 21.042 | 0.639 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 505 | 505 | 1490 | 4981 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.95 | 9.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.657 | 20.969 | 0.572 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 507 | 507 | 4887 | 4884 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.64 | 9.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.721 | 25.112 | 0.491 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 549 | 549 | 5347 | 5113 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.74 | 9.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.861 | 25.702 | 0.506 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 652 | 652 | 5667 | 5850 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.69 | 8.97 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.366 | 26.399 | 0.388 | 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 | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 774 | 774 | 800 | 7029 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.03 | 9.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.188 | 21.247 | 0.583 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 429 | 429 | 3811 | 4340 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 8.88 | 10.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.722 | 26.610 | 0.637 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 342 | 342 | 3332 | 3147 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 9.74 | 9.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.458 | 24.799 | 0.412 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 2741 | 1757 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 10.27 | 6.58 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.252 | 20.348 | 0.244 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 758 | 1193 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.39 | 3.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.174 | 16.649 | 0.204 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 358 | 358 | 853 | 1207 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.38 | 3.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.295 | 16.686 | 0.251 | 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 | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 439 | 439 | 1905 | 2260 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.34 | 5.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.525 | 15.816 | 0.206 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 510 | 510 | 874 | 5857 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.71 | 11.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.920 | 20.899 | 0.770 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 3856 | 4183 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 10.95 | 11.88 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.555 | 26.585 | 0.388 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 603 | 3071 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.06 | 10.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.323 | 20.172 | 0.253 | 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(-1) | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 395 | 395 | 7666 | 2845 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 19.41 | 7.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.351 | 25.728 | 0.177 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 451 | 451 | 1798 | 3673 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.99 | 8.14 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.531 | 20.342 | 0.213 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 552 | 552 | 3404 | 5176 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 6.17 | 9.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.867 | 25.428 | 0.298 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 549 | 549 | 989 | 10852 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.80 | 19.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.290 | 21.919 | 0.889 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 449 | 449 | 918 | 8861 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.04 | 19.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.714 | 21.117 | 0.433 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 416 | 416 | 3980 | 6947 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.57 | 16.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.548 | 26.582 | 0.245 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 541 | 541 | 1907 | 8177 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.52 | 15.11 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.639 | 21.714 | 0.250 | 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(-1) | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 618 | 618 | 20027 | 10319 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 32.41 | 16.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.023 | 29.204 | 0.363 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 448 | 448 | 689 | 3700 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.54 | 8.26 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.616 | 20.212 | 0.378 | 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 | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 382 | 382 | 1131 | 2761 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.96 | 7.23 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.433 | 18.383 | 0.253 | 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 | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 316 | 316 | 1232 | 1588 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.90 | 5.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.283 | 18.210 | 0.221 | 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(-1) | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 158 | 289 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.119 | 3.225 | 0.190 | 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 | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 379 | 379 | 2090 | 2613 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.51 | 6.89 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.377 | 15.687 | 0.182 | 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(-1) | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 519 | 519 | 812 | 7859 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.56 | 15.14 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.696 | 15.928 | 0.257 | 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 | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 1262 | 1020 | 0 | 312 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.74 | 3.83 | 0.00 | 1.17 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.212 | 7.497 | 0.270 | 0.000 | 1.163 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 1202 | 824 | 0 | 288 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.23 | 3.58 | 0.00 | 1.25 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.195 | 7.268 | 0.217 | 0.000 | 0.740 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 1140 | 715 | 0 | 260 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.94 | 3.72 | 0.00 | 1.35 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.170 | 7.153 | 0.178 | 0.000 | 0.732 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 223 | 639 | 0 | 221 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.47 | 4.20 | 0.00 | 1.45 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.166 | 2.725 | 0.141 | 0.000 | 0.842 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 197 | 388 | 0 | 184 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.35 | 2.66 | 0.00 | 1.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.162 | 2.988 | 0.086 | 0.000 | 0.864 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 194 | 465 | 0 | 204 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.24 | 2.98 | 0.00 | 1.31 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 2.862 | 0.079 | 0.000 | 0.681 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 219 | 515 | 0 | 232 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.13 | 2.65 | 0.00 | 1.20 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.183 | 3.685 | 0.085 | 0.000 | 0.817 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 249 | 565 | 0 | 256 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 2.46 | 0.00 | 1.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.199 | 4.988 | 0.088 | 0.000 | 0.711 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 1371 | 611 | 0 | 280 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.15 | 2.30 | 0.00 | 1.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.216 | 7.012 | 0.089 | 0.000 | 0.723 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 507 | 1169 | 0 | 400 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.48 | 3.41 | 0.00 | 1.17 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.402 | 6.844 | 0.342 | 0.000 | 0.949 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 333 | 920 | 0 | 357 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 3.18 | 0.00 | 1.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.358 | 2.610 | 0.270 | 0.000 | 1.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 271 | 973 | 0 | 319 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.12 | 4.04 | 0.00 | 1.32 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.347 | 2.245 | 0.220 | 0.000 | 1.010 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 227 | 1303 | 0 | 284 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 5.82 | 0.00 | 1.27 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.347 | 2.901 | 0.184 | 0.000 | 1.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 234 | 679 | 0 | 260 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 3.02 | 0.00 | 1.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.358 | 4.604 | 0.114 | 0.000 | 1.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 251 | 706 | 0 | 291 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 2.92 | 0.00 | 1.20 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.360 | 6.422 | 0.105 | 0.000 | 0.916 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 286 | 784 | 0 | 329 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 2.70 | 0.00 | 1.13 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.379 | 3.793 | 0.101 | 0.000 | 1.474 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 397 | 397 | 566 | 1265 | 0 | 467 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.43 | 3.19 | 0.00 | 1.18 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.579 | 7.155 | 0.391 | 0.000 | 1.356 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 334 | 334 | 377 | 1178 | 0 | 415 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.13 | 3.53 | 0.00 | 1.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.528 | 4.091 | 0.306 | 0.000 | 1.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 319 | 319 | 311 | 1392 | 0 | 382 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 4.36 | 0.00 | 1.20 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.560 | 3.682 | 0.255 | 0.000 | 0.746 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 295 | 1837 | 0 | 361 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 5.87 | 0.00 | 1.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.571 | 2.923 | 0.204 | 0.000 | 0.797 | 0.000 | 0.000 | 0.000 |