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(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 325 | 197 | 0 | 237 | 396 | 341 | 215 |
N.S. |
1 | 1.00 | 1.86 | 1.13 | 0.00 | 1.35 | 2.26 | 1.95 | 1.23 |
time (sec) |
N/A | 0.189 | 1.127 | 2.598 | 0.000 | 0.414 | 0.497 | 0.446 | 0.708 |
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 | 83 | 83 | 109 | 123 | 98 | 96 | 175 | 87 | 94 |
N.S. | 1 | 1.00 | 1.31 | 1.48 | 1.18 | 1.16 | 2.11 | 1.05 | 1.13 |
time (sec) |
N/A | 0.058 | 0.128 | 1.061 | 0.270 | 0.385 | 0.238 | 0.465 | 0.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | A | F(-2) | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.055 | 180.000 | 180.000 | 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 | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.058 | 161.130 | 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 | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 501 | 1034 | 579 | 1013 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.60 | 3.30 | 1.85 | 3.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.361 | 4.408 | 3.338 | 0.446 | 0.413 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 327 | 573 | 351 | 571 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.46 | 2.56 | 1.57 | 2.55 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.253 | 3.759 | 3.059 | 0.434 | 0.487 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 345 | 211 | 0 | 217 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.74 | 1.67 | 0.00 | 1.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.104 | 0.794 | 3.030 | 0.000 | 0.399 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 52 | 36 | 62 | 57 | 0 | 48 | 56 |
N.S. | 1 | 1.00 | 1.27 | 0.88 | 1.51 | 1.39 | 0.00 | 1.17 | 1.37 |
time (sec) |
N/A | 0.043 | 0.049 | 1.012 | 0.264 | 0.420 | 0.000 | 0.432 | 0.882 |
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 | 32 | 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 | -0.03 |
time (sec) |
N/A | 0.035 | 32.356 | 180.000 | 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) | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 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 | -0.03 |
time (sec) |
N/A | 0.035 | 40.583 | 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 | B | B | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 419 | 419 | 1005 | 1535 | 940 | 2568 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.40 | 3.66 | 2.24 | 6.13 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.597 | 13.540 | 3.230 | 0.466 | 0.446 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 296 | 296 | 659 | 847 | 611 | 1381 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.23 | 2.86 | 2.06 | 4.67 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.413 | 11.068 | 3.010 | 0.451 | 0.374 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 454 | 316 | 0 | 520 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.79 | 1.94 | 0.00 | 3.19 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.177 | 3.465 | 3.069 | 0.000 | 0.471 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 61 | 63 | 109 | 146 | 0 | 90 | 122 |
N.S. | 1 | 1.00 | 1.07 | 1.11 | 1.91 | 2.56 | 0.00 | 1.58 | 2.14 |
time (sec) |
N/A | 0.069 | 0.157 | 1.078 | 0.259 | 0.336 | 0.000 | 0.445 | 1.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.056 | 91.226 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | A | A | A | F(-1) | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.053 | 180.002 | 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 | B | B | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 546 | 546 | 2394 | 2058 | 1353 | 4261 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.38 | 3.77 | 2.48 | 7.80 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.869 | 52.330 | 3.435 | 0.598 | 0.428 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 1370 | 1107 | 897 | 2238 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.72 | 3.01 | 2.44 | 6.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.603 | 21.342 | 3.252 | 0.525 | 0.379 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 541 | 423 | 0 | 827 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.53 | 1.98 | 0.00 | 3.86 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.274 | 1.760 | 4.015 | 0.000 | 0.386 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 90 | 91 | 156 | 234 | 0 | 97 | 132 |
N.S. | 1 | 1.00 | 1.03 | 1.05 | 1.79 | 2.69 | 0.00 | 1.11 | 1.52 |
time (sec) |
N/A | 0.097 | 0.351 | 1.174 | 0.271 | 0.394 | 0.000 | 0.418 | 0.610 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.054 | 180.017 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | A | A | A | F(-1) | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.053 | 180.026 | 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 | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 453 | 453 | 1009 | 0 | 0 | 1614 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.23 | 0.00 | 0.00 | 3.56 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.578 | 2.730 | 0.529 | 0.000 | 0.391 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 337 | 337 | 610 | 0 | 0 | 956 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.81 | 0.00 | 0.00 | 2.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.494 | 2.041 | 0.467 | 0.000 | 0.357 | 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 | 220 | 220 | 163 | 440 | 0 | 532 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 2.00 | 0.00 | 2.42 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.278 | 0.483 | 1.286 | 0.000 | 0.355 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 64 | 82 | 85 | 186 | 350 | 84 | 121 |
N.S. | 1 | 1.00 | 1.19 | 1.52 | 1.57 | 3.44 | 6.48 | 1.56 | 2.24 |
time (sec) |
N/A | 0.052 | 0.083 | 0.542 | 0.489 | 0.394 | 36.208 | 0.429 | 0.823 |
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 | 29 | 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 | -0.03 |
time (sec) |
N/A | 0.032 | 6.150 | 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 | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 551 | 551 | 1074 | 0 | 0 | 4491 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.95 | 0.00 | 0.00 | 8.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.716 | 6.614 | 1.805 | 0.000 | 0.559 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 407 | 407 | 697 | 0 | 0 | 2365 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.71 | 0.00 | 0.00 | 5.81 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.600 | 5.320 | 1.834 | 0.000 | 0.385 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 299 | 510 | 0 | 1078 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.13 | 1.93 | 0.00 | 4.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.352 | 1.405 | 1.613 | 0.000 | 0.372 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 74 | 121 | 119 | 331 | 1748 | 111 | 166 |
N.S. | 1 | 1.00 | 1.04 | 1.70 | 1.68 | 4.66 | 24.62 | 1.56 | 2.34 |
time (sec) |
N/A | 0.092 | 0.218 | 0.758 | 0.470 | 0.336 | 142.616 | 0.440 | 0.373 |
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 | 31 | 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 | -0.03 |
time (sec) |
N/A | 0.048 | 91.988 | 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 | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 712 | 712 | 1948 | 0 | 0 | 9525 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.74 | 0.00 | 0.00 | 13.38 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.841 | 7.789 | 0.987 | 0.000 | 0.447 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 522 | 522 | 1589 | 0 | 0 | 4857 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.04 | 0.00 | 0.00 | 9.30 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.733 | 7.459 | 1.608 | 0.000 | 0.430 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 307 | 589 | 0 | 2068 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.76 | 0.00 | 6.17 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.424 | 1.640 | 1.593 | 0.000 | 0.393 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 101 | 191 | 164 | 601 | 0 | 151 | 212 |
N.S. |
1 | 1.00 | 0.94 | 1.79 | 1.53 | 5.62 | 0.00 | 1.41 | 1.98 |
time (sec) |
N/A | 0.159 | 0.252 | 0.780 | 0.486 | 0.382 | 0.000 | 0.438 | 0.438 |
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 | 31 | 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 | -0.03 |
time (sec) |
N/A | 0.050 | 178.145 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 605 | 605 | 1264 | 0 | 0 | 2509 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.09 | 0.00 | 0.00 | 4.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.683 | 3.825 | 180.000 | 0.000 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 433 | 433 | 750 | 0 | 0 | 1379 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.73 | 0.00 | 0.00 | 3.18 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.561 | 2.427 | 180.000 | 0.000 | 0.395 | 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 | 261 | 261 | 306 | 532 | 0 | 691 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.17 | 2.04 | 0.00 | 2.65 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.326 | 1.155 | 1.585 | 0.000 | 0.421 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 69 | 63 | 112 | 223 | 0 | 102 | 347 |
N.S. | 1 | 1.00 | 1.08 | 0.98 | 1.75 | 3.48 | 0.00 | 1.59 | 5.42 |
time (sec) |
N/A | 0.064 | 0.074 | 1.005 | 0.474 | 0.378 | 0.000 | 0.451 | 0.459 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 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 | -0.03 |
time (sec) |
N/A | 0.032 | 3.767 | 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 | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 745 | 745 | 2152 | 0 | 0 | 11107 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.89 | 0.00 | 0.00 | 14.91 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.964 | 14.154 | 0.875 | 0.000 | 0.516 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 535 | 535 | 1011 | 0 | 0 | 5257 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.89 | 0.00 | 0.00 | 9.83 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.744 | 13.138 | 0.897 | 0.000 | 0.446 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 306 | 306 | 405 | 626 | 0 | 2027 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.32 | 2.05 | 0.00 | 6.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.394 | 3.483 | 1.568 | 0.000 | 0.373 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 100 | 97 | 137 | 479 | 0 | 123 | 360 |
N.S. | 1 | 1.00 | 1.25 | 1.21 | 1.71 | 5.99 | 0.00 | 1.54 | 4.50 |
time (sec) |
N/A | 0.105 | 0.536 | 0.981 | 0.478 | 0.370 | 0.000 | 0.474 | 0.393 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 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 | -0.03 |
time (sec) |
N/A | 0.052 | 77.437 | 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 | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1053 | 1053 | 3202 | 0 | 0 | 32529 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.04 | 0.00 | 0.00 | 30.89 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.276 | 29.933 | 1.724 | 0.000 | 0.761 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 725 | 725 | 1775 | 0 | 0 | 14973 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.45 | 0.00 | 0.00 | 20.65 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.932 | 18.872 | 1.985 | 0.000 | 0.540 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 420 | 420 | 736 | 861 | 0 | 5442 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.75 | 2.05 | 0.00 | 12.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.519 | 7.135 | 1.743 | 0.000 | 0.416 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 145 | 142 | 211 | 1203 | 0 | 176 | 776 |
N.S. | 1 | 1.00 | 1.28 | 1.26 | 1.87 | 10.65 | 0.00 | 1.56 | 6.87 |
time (sec) |
N/A | 0.273 | 1.358 | 1.189 | 0.477 | 0.432 | 0.000 | 0.427 | 0.746 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 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 | -0.03 |
time (sec) |
N/A | 0.055 | 124.508 | 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 | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 118 | 647 | 263 | 302 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 4.65 | 1.89 | 2.17 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.151 | 0.060 | 2.992 | 0.332 | 0.351 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 94 | 405 | 166 | 190 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 3.82 | 1.57 | 1.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.128 | 0.035 | 1.564 | 0.330 | 0.354 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 66 | 188 | 0 | 95 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 2.58 | 0.00 | 1.30 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.021 | 1.523 | 0.000 | 0.351 | 0.000 | 0.000 | 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 | 23 | 23 | 23 | 23 | 20 | 23 | 22 | 32 | 19 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.87 | 1.00 | 0.96 | 1.39 | 0.83 |
time (sec) |
N/A | 0.020 | 0.014 | 0.725 | 0.259 | 0.340 | 0.101 | 0.499 | 0.239 |
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 | 32 | 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 | -0.03 |
time (sec) |
N/A | 0.034 | 19.991 | 180.000 | 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 | 32 | 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 | -0.03 |
time (sec) |
N/A | 0.036 | 26.228 | 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 | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 106 | 448 | 372 | 260 | 518 | 355 | 269 |
N.S. | 1 | 1.00 | 0.98 | 4.15 | 3.44 | 2.41 | 4.80 | 3.29 | 2.49 |
time (sec) |
N/A | 0.118 | 0.360 | 1.102 | 0.400 | 0.358 | 0.390 | 0.457 | 0.716 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 78 | 223 | 270 | 160 | 318 | 208 | 167 |
N.S. | 1 | 1.00 | 0.95 | 2.72 | 3.29 | 1.95 | 3.88 | 2.54 | 2.04 |
time (sec) |
N/A | 0.092 | 0.272 | 1.096 | 0.367 | 0.352 | 0.297 | 0.455 | 0.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 57 | 84 | 189 | 79 | 167 | 96 | 87 |
N.S. | 1 | 1.00 | 1.02 | 1.50 | 3.38 | 1.41 | 2.98 | 1.71 | 1.55 |
time (sec) |
N/A | 0.048 | 0.382 | 1.050 | 0.323 | 0.377 | 0.196 | 0.428 | 0.385 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 139 | 70 | 44 | 40 | 78 | 41 | 36 |
N.S. | 1 | 1.00 | 6.32 | 3.18 | 2.00 | 1.82 | 3.55 | 1.86 | 1.64 |
time (sec) |
N/A | 0.030 | 0.117 | 1.113 | 0.273 | 0.325 | 0.118 | 0.446 | 0.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 62 | 103 | 81 | 84 | 0 | 76 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.36 | 1.07 | 1.11 | 0.00 | 1.00 | -0.01 |
time (sec) |
N/A | 0.151 | 0.181 | 1.625 | 0.367 | 0.336 | 0.000 | 0.453 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 85 | 164 | 99 | 141 | 0 | 572 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.59 | 0.96 | 1.37 | 0.00 | 5.55 | -0.01 |
time (sec) |
N/A | 0.156 | 0.300 | 1.521 | 0.405 | 0.357 | 0.000 | 0.486 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 134 | 726 | 0 | 401 | 1040 | 618 | 449 |
N.S. |
1 | 1.00 | 0.58 | 3.14 | 0.00 | 1.74 | 4.50 | 2.68 | 1.94 |
time (sec) |
N/A | 0.182 | 0.712 | 1.210 | 0.000 | 0.337 | 0.652 | 0.462 | 1.284 |
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 | 171 | 171 | 99 | 241 | 0 | 227 | 631 | 338 | 271 |
N.S. |
1 | 1.00 | 0.58 | 1.41 | 0.00 | 1.33 | 3.69 | 1.98 | 1.58 |
time (sec) |
N/A | 0.138 | 0.519 | 2.633 | 0.000 | 0.350 | 0.464 | 0.450 | 0.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 60 | 120 | 0 | 96 | 321 | 138 | 144 |
N.S. |
1 | 1.00 | 0.61 | 1.22 | 0.00 | 0.98 | 3.28 | 1.41 | 1.47 |
time (sec) |
N/A | 0.070 | 0.730 | 1.202 | 0.000 | 0.335 | 0.328 | 0.448 | 0.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 28 | 30 | 60 | 49 | 133 | 55 | 29 |
N.S. | 1 | 1.00 | 0.82 | 0.88 | 1.76 | 1.44 | 3.91 | 1.62 | 0.85 |
time (sec) |
N/A | 0.032 | 0.036 | 0.660 | 0.261 | 0.342 | 0.177 | 0.450 | 0.293 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 112 | 180 | 0 | 135 | 0 | 144 | -1 |
N.S. |
1 | 1.00 | 0.85 | 1.37 | 0.00 | 1.03 | 0.00 | 1.10 | -0.01 |
time (sec) |
N/A | 0.233 | 0.240 | 2.430 | 0.000 | 0.336 | 0.000 | 0.477 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 212 | 299 | 0 | 257 | 0 | 1080 | -1 |
N.S. |
1 | 1.00 | 1.18 | 1.66 | 0.00 | 1.43 | 0.00 | 6.00 | -0.01 |
time (sec) |
N/A | 0.268 | 0.381 | 2.471 | 0.000 | 0.375 | 0.000 | 0.548 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 463 | 463 | 866 | 1152 | 691 | 1462 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.87 | 2.49 | 1.49 | 3.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.345 | 7.972 | 3.249 | 0.443 | 0.397 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 599 | 613 | 394 | 827 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.24 | 2.29 | 1.47 | 3.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.190 | 7.254 | 3.211 | 0.440 | 0.403 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 710 | 268 | 0 | 359 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.41 | 1.66 | 0.00 | 2.23 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.100 | 2.212 | 4.042 | 0.000 | 0.400 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 30 | 75 | 87 | 102 | 0 | 104 | 74 |
N.S. | 1 | 1.00 | 0.71 | 1.79 | 2.07 | 2.43 | 0.00 | 2.48 | 1.76 |
time (sec) |
N/A | 0.040 | 0.039 | 1.225 | 0.259 | 0.369 | 0.000 | 0.440 | 1.098 |
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 | 32 | 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 | -0.03 |
time (sec) |
N/A | 0.034 | 45.475 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 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 | -0.03 |
time (sec) |
N/A | 0.033 | 180.006 | 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 | A | B | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 450 | 450 | 1127 | 1001 | 749 | 1424 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.50 | 2.22 | 1.66 | 3.16 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.422 | 10.078 | 5.179 | 0.508 | 0.374 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 325 | 325 | 576 | 509 | 0 | 724 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.77 | 1.57 | 0.00 | 2.23 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.271 | 8.422 | 3.048 | 0.000 | 0.372 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 194 | 143 | 252 | 203 | 0 | 260 | 205 |
N.S. | 1 | 1.00 | 1.23 | 0.91 | 1.59 | 1.28 | 0.00 | 1.65 | 1.30 |
time (sec) |
N/A | 0.122 | 0.751 | 3.476 | 0.290 | 0.372 | 0.000 | 0.426 | 2.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 75 | 104 | 54 | 0 | 59 | 43 |
N.S. | 1 | 1.00 | 1.00 | 1.60 | 2.21 | 1.15 | 0.00 | 1.26 | 0.91 |
time (sec) |
N/A | 0.040 | 0.042 | 1.337 | 0.266 | 0.334 | 0.000 | 0.426 | 0.483 |
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 | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.052 | 102.106 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | A | A | A | A | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.051 | 180.012 | 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(-2) | B | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 667 | 667 | 2072 | 2026 | 0 | 3847 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.11 | 3.04 | 0.00 | 5.77 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.517 | 11.337 | 4.164 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 423 | 423 | 1396 | 1044 | 0 | 2117 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.30 | 2.47 | 0.00 | 5.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.294 | 11.133 | 4.258 | 0.000 | 0.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 929 | 445 | 0 | 936 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.99 | 1.91 | 0.00 | 4.02 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.143 | 5.020 | 4.917 | 0.000 | 0.371 | 0.000 | 0.000 | 0.000 |
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 | 91 | 91 | 101 | 141 | 0 | 287 | 0 | 177 | 137 |
N.S. |
1 | 1.00 | 1.11 | 1.55 | 0.00 | 3.15 | 0.00 | 1.95 | 1.51 |
time (sec) |
N/A | 0.063 | 0.093 | 1.552 | 0.000 | 0.426 | 0.000 | 0.430 | 0.986 |
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 | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.053 | 94.549 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | A | F(-2) | A | A | F(-1) | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 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 | -0.03 |
time (sec) |
N/A | 0.051 | 180.020 | 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 | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 329 | 0 | 0 | 1278 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 3.59 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.354 | 0.111 | 0.773 | 0.000 | 0.440 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 244 | 0 | 0 | 738 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 2.80 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.311 | 0.108 | 0.773 | 0.000 | 0.361 | 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 | 170 | 170 | 157 | 412 | 0 | 401 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 2.42 | 0.00 | 2.36 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.172 | 0.026 | 1.526 | 0.000 | 0.368 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 19 | 18 | 44 | 41 | 33 | 18 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 2.44 | 2.28 | 1.83 | 1.00 |
time (sec) |
N/A | 0.020 | 0.008 | 0.427 | 0.275 | 0.355 | 0.393 | 0.423 | 0.080 |
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 | 29 | 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 | -0.03 |
time (sec) |
N/A | 0.032 | 8.759 | 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 | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 527 | 527 | 1055 | 0 | 0 | 3291 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.00 | 0.00 | 0.00 | 6.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.664 | 9.069 | 2.158 | 0.000 | 0.420 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 389 | 389 | 723 | 0 | 0 | 1741 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.86 | 0.00 | 0.00 | 4.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.569 | 4.718 | 2.076 | 0.000 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 258 | 901 | 0 | 814 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 3.58 | 0.00 | 3.23 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.328 | 1.221 | 3.320 | 0.000 | 0.426 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 458 | 129 | 116 | 259 | 503 | 110 | 121 |
N.S. | 1 | 1.00 | 6.74 | 1.90 | 1.71 | 3.81 | 7.40 | 1.62 | 1.78 |
time (sec) |
N/A | 0.089 | 1.027 | 1.210 | 0.479 | 0.345 | 86.392 | 0.448 | 0.419 |
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 | 31 | 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 | -0.03 |
time (sec) |
N/A | 0.048 | 19.516 | 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 | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 642 | 642 | 2833 | 0 | 0 | 8057 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.41 | 0.00 | 0.00 | 12.55 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.562 | 16.604 | 1.450 | 0.000 | 0.507 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 477 | 477 | 1253 | 0 | 0 | 4069 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.63 | 0.00 | 0.00 | 8.53 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.478 | 12.974 | 1.565 | 0.000 | 0.438 | 0.000 | 0.000 | 0.000 |