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 | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 146 | 0 | 681 | 494 | 0 | 4392 | 1046 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 3.62 | 2.63 | 0.00 | 23.36 | 5.56 |
time (sec) |
N/A | 0.093 | 0.086 | 0.046 | 0.310 | 0.452 | 0.000 | 3.956 | 4.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 124 | 0 | 483 | 367 | 0 | 2986 | 588 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 3.10 | 2.35 | 0.00 | 19.14 | 3.77 |
time (sec) |
N/A | 0.070 | 0.077 | 0.049 | 0.306 | 0.409 | 0.000 | 5.699 | 4.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 103 | 0 | 312 | 253 | 0 | 1836 | 303 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 2.52 | 2.04 | 0.00 | 14.81 | 2.44 |
time (sec) |
N/A | 0.056 | 0.044 | 0.046 | 0.282 | 0.390 | 0.000 | 4.589 | 4.284 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 73 | 0 | 158 | 138 | 352 | 864 | 134 |
N.S. | 1 | 1.00 | 0.85 | 0.00 | 1.84 | 1.60 | 4.09 | 10.05 | 1.56 |
time (sec) |
N/A | 0.035 | 0.029 | 0.075 | 0.281 | 0.473 | 162.558 | 5.758 | 4.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 101 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.145 | 0.039 | 0.123 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 79 | 115 | 0 | 138 | 94 | 0 | 85 | 112 |
N.S. |
1 | 1.18 | 1.72 | 0.00 | 2.06 | 1.40 | 0.00 | 1.27 | 1.67 |
time (sec) |
N/A | 0.034 | 0.046 | 0.048 | 0.295 | 0.425 | 0.000 | 3.819 | 5.655 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 114 | 0 | 260 | 243 | 0 | 220 | 222 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 1.72 | 1.61 | 0.00 | 1.46 | 1.47 |
time (sec) |
N/A | 0.087 | 0.110 | 0.049 | 0.308 | 0.394 | 0.000 | 4.703 | 4.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 145 | 0 | 433 | 446 | 0 | 375 | 349 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 2.37 | 2.44 | 0.00 | 2.05 | 1.91 |
time (sec) |
N/A | 0.107 | 0.123 | 0.053 | 0.321 | 0.362 | 0.000 | 5.566 | 4.845 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 162 | 0 | 652 | 685 | 0 | 533 | 603 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 3.03 | 3.19 | 0.00 | 2.48 | 2.80 |
time (sec) |
N/A | 0.129 | 0.156 | 0.054 | 0.394 | 0.382 | 0.000 | 4.477 | 5.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 535 | 0 | 2764 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.35 | 0.00 | 6.98 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.369 | 0.348 | 0.098 | 0.836 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 411 | 0 | 2039 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.23 | 0.00 | 6.09 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.283 | 0.241 | 0.083 | 0.894 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 303 | 0 | 1412 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.11 | 0.00 | 5.15 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.215 | 0.165 | 0.076 | 0.816 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 215 | 0 | 786 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.10 | 0.00 | 4.01 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.127 | 0.136 | 0.044 | 0.886 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 537 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.116 | 0.197 | 0.048 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 330 | 0 | 433 | 212 | 0 | 163 | 238 |
N.S. | 1 | 1.00 | 2.43 | 0.00 | 3.18 | 1.56 | 0.00 | 1.20 | 1.75 |
time (sec) |
N/A | 0.067 | 0.383 | 0.053 | 0.308 | 0.407 | 0.000 | 5.033 | 5.590 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 288 | 288 | 463 | 0 | 864 | 528 | 0 | 458 | 506 |
N.S. | 1 | 1.00 | 1.61 | 0.00 | 3.00 | 1.83 | 0.00 | 1.59 | 1.76 |
time (sec) |
N/A | 0.153 | 0.339 | 0.047 | 0.344 | 0.439 | 0.000 | 7.780 | 6.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 448 | 448 | 609 | 0 | 1435 | 946 | 0 | 810 | 1038 |
N.S. | 1 | 1.00 | 1.36 | 0.00 | 3.20 | 2.11 | 0.00 | 1.81 | 2.32 |
time (sec) |
N/A | 0.229 | 0.470 | 0.051 | 0.482 | 0.415 | 0.000 | 5.631 | 7.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 615 | 615 | 776 | 0 | 2139 | 1438 | 0 | 1166 | 1769 |
N.S. |
1 | 1.00 | 1.26 | 0.00 | 3.48 | 2.34 | 0.00 | 1.90 | 2.88 |
time (sec) |
N/A | 0.298 | 0.678 | 0.048 | 0.509 | 0.456 | 0.000 | 4.868 | 9.221 |
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 | 38 | 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 | 0.023 | 0.472 | 0.040 | 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 | 36 | 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 | 0.013 | 0.184 | 0.056 | 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 | 38 | 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 | 0.026 | 0.097 | 0.123 | 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 | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 94 | 0 | 0 | 56 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.080 | 0.093 | 0.046 | 0.000 | 0.343 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 172 | 0 | 0 | 137 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.70 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.185 | 0.178 | 0.049 | 0.000 | 0.401 | 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 | 38 | 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 | 0.023 | 0.632 | 0.040 | 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 | 36 | 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 | 0.013 | 0.604 | 0.013 | 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 | 38 | 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 | 0.024 | 0.370 | 0.047 | 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 | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 146 | 0 | 0 | 241 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 1.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.103 | 0.126 | 0.049 | 0.000 | 0.341 | 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 | 314 | 314 | 254 | 0 | 0 | 639 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 2.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.242 | 0.375 | 0.049 | 0.000 | 0.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 146 | 0 | 681 | 497 | 0 | 1862 | 1045 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 3.62 | 2.64 | 0.00 | 9.90 | 5.56 |
time (sec) |
N/A | 0.084 | 0.072 | 0.047 | 0.310 | 0.425 | 0.000 | 4.865 | 4.484 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 124 | 0 | 483 | 370 | 0 | 1390 | 588 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 3.10 | 2.37 | 0.00 | 8.91 | 3.77 |
time (sec) |
N/A | 0.067 | 0.067 | 0.045 | 0.361 | 0.394 | 0.000 | 7.027 | 4.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 101 | 0 | 312 | 254 | 0 | 980 | 303 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 2.52 | 2.05 | 0.00 | 7.90 | 2.44 |
time (sec) |
N/A | 0.050 | 0.043 | 0.043 | 0.312 | 0.371 | 0.000 | 4.032 | 4.307 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 74 | 0 | 158 | 140 | 382 | 572 | 134 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 1.84 | 1.63 | 4.44 | 6.65 | 1.56 |
time (sec) |
N/A | 0.037 | 0.029 | 0.077 | 0.291 | 0.421 | 163.301 | 5.605 | 4.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 101 | 0 | 0 | 0 | 0 | 558 | -1 |
N.S. | 1 | 1.00 | 1.26 | 0.00 | 0.00 | 0.00 | 0.00 | 6.98 | -0.01 |
time (sec) |
N/A | 0.147 | 0.030 | 0.129 | 0.000 | 0.000 | 0.000 | 58.772 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 114 | 0 | 137 | 96 | 0 | 89 | 113 |
N.S. |
1 | 1.00 | 1.12 | 0.00 | 1.34 | 0.94 | 0.00 | 0.87 | 1.11 |
time (sec) |
N/A | 0.031 | 0.044 | 0.050 | 0.300 | 0.423 | 0.000 | 2.691 | 4.017 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 115 | 0 | 260 | 244 | 0 | 203 | 221 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 1.72 | 1.62 | 0.00 | 1.34 | 1.46 |
time (sec) |
N/A | 0.081 | 0.105 | 0.049 | 0.293 | 0.355 | 0.000 | 3.918 | 4.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 146 | 0 | 434 | 447 | 0 | 399 | 349 |
N.S. |
1 | 1.00 | 0.80 | 0.00 | 2.37 | 2.44 | 0.00 | 2.18 | 1.91 |
time (sec) |
N/A | 0.101 | 0.120 | 0.051 | 0.307 | 0.353 | 0.000 | 3.907 | 4.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 162 | 0 | 653 | 687 | 0 | 676 | 603 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 3.04 | 3.20 | 0.00 | 3.14 | 2.80 |
time (sec) |
N/A | 0.130 | 0.160 | 0.048 | 0.319 | 0.376 | 0.000 | 4.259 | 4.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 544 | 544 | 533 | 0 | 2693 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 4.95 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.479 | 0.337 | 0.089 | 0.817 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 454 | 454 | 409 | 0 | 1991 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 4.39 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.344 | 0.231 | 0.087 | 0.810 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 361 | 361 | 303 | 0 | 1382 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.00 | 3.83 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.255 | 0.160 | 0.078 | 0.750 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 216 | 0 | 788 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 3.58 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.160 | 0.138 | 0.046 | 0.729 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 537 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.085 | 0.188 | 0.050 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 331 | 0 | 431 | 215 | 0 | 164 | 237 |
N.S. | 1 | 1.00 | 2.03 | 0.00 | 2.64 | 1.32 | 0.00 | 1.01 | 1.45 |
time (sec) |
N/A | 0.053 | 0.285 | 0.048 | 0.302 | 0.354 | 0.000 | 4.581 | 5.649 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 464 | 0 | 864 | 530 | 0 | 387 | 505 |
N.S. | 1 | 1.00 | 1.46 | 0.00 | 2.73 | 1.67 | 0.00 | 1.22 | 1.59 |
time (sec) |
N/A | 0.113 | 0.306 | 0.049 | 0.333 | 0.344 | 0.000 | 5.498 | 5.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 429 | 429 | 609 | 0 | 1438 | 948 | 0 | 746 | 1040 |
N.S. | 1 | 1.00 | 1.42 | 0.00 | 3.35 | 2.21 | 0.00 | 1.74 | 2.42 |
time (sec) |
N/A | 0.180 | 0.446 | 0.049 | 0.406 | 0.353 | 0.000 | 3.455 | 7.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 536 | 536 | 776 | 0 | 2141 | 1442 | 0 | 1225 | 1765 |
N.S. |
1 | 1.00 | 1.45 | 0.00 | 3.99 | 2.69 | 0.00 | 2.29 | 3.29 |
time (sec) |
N/A | 0.204 | 0.615 | 0.051 | 0.479 | 0.407 | 0.000 | 6.633 | 9.081 |
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 | 38 | 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 | 0.024 | 0.276 | 0.044 | 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 | 36 | 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 | 0.014 | 0.182 | 0.059 | 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 | 38 | 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 | 0.027 | 0.114 | 0.128 | 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 | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 96 | 0 | 0 | 56 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.074 | 0.087 | 0.045 | 0.000 | 0.344 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 199 | 199 | 174 | 0 | 0 | 135 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.68 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.152 | 0.172 | 0.049 | 0.000 | 0.354 | 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 | 38 | 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 | 0.024 | 0.632 | 0.038 | 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 | 36 | 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 | 0.013 | 0.628 | 0.013 | 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 | 38 | 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 | 0.026 | 0.377 | 0.049 | 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 | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 180 | 0 | 0 | 254 | 0 | 140 | -1 |
N.S. |
1 | 1.00 | 1.17 | 0.00 | 0.00 | 1.65 | 0.00 | 0.91 | -0.01 |
time (sec) |
N/A | 0.081 | 0.120 | 0.047 | 0.000 | 0.337 | 0.000 | 4.877 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 256 | 256 | 288 | 0 | 0 | 652 | 0 | 312 | -1 |
N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 2.55 | 0.00 | 1.22 | -0.00 |
time (sec) |
N/A | 0.187 | 0.325 | 0.051 | 0.000 | 0.375 | 0.000 | 2.941 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 364 | 364 | 285 | 0 | 636 | 664 | 0 | 11806 | 1433 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 1.75 | 1.82 | 0.00 | 32.43 | 3.94 |
time (sec) |
N/A | 0.349 | 0.436 | 0.054 | 0.302 | 0.784 | 0.000 | 7.133 | 4.680 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 219 | 0 | 447 | 465 | 0 | 6660 | 766 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 1.90 | 1.98 | 0.00 | 28.34 | 3.26 |
time (sec) |
N/A | 0.212 | 0.200 | 0.047 | 0.292 | 0.463 | 0.000 | 5.349 | 4.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 146 | 0 | 285 | 294 | 0 | 3346 | 371 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 1.82 | 1.87 | 0.00 | 21.31 | 2.36 |
time (sec) |
N/A | 0.109 | 0.105 | 0.044 | 0.280 | 0.439 | 0.000 | 5.533 | 4.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 120 | 0 | 152 | 156 | 493 | 1189 | 153 |
N.S. | 1 | 1.00 | 1.04 | 0.00 | 1.32 | 1.36 | 4.29 | 10.34 | 1.33 |
time (sec) |
N/A | 0.065 | 0.089 | 0.074 | 0.283 | 0.364 | 168.917 | 4.305 | 4.257 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 56 | 122 | 53 | 58 | 150 | 237 | 52 |
N.S. | 1 | 1.00 | 1.00 | 2.18 | 0.95 | 1.04 | 2.68 | 4.23 | 0.93 |
time (sec) |
N/A | 0.022 | 0.009 | 0.055 | 0.277 | 0.368 | 3.341 | 5.521 | 4.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 122 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 0.044 | 0.122 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 109 | 0 | 143 | 271 | 0 | 455 | 140 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 1.57 | 2.98 | 0.00 | 5.00 | 1.54 |
time (sec) |
N/A | 0.063 | 0.101 | 0.050 | 0.300 | 3.395 | 0.000 | 4.583 | 4.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 173 | 0 | 356 | 1094 | 0 | 2952 | 430 |
N.S. |
1 | 1.00 | 0.91 | 0.00 | 1.87 | 5.76 | 0.00 | 15.54 | 2.26 |
time (sec) |
N/A | 0.149 | 0.371 | 0.050 | 0.310 | 47.836 | 0.000 | 4.901 | 6.199 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 264 | 0 | 853 | 0 | 0 | 9570 | 1182 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 3.01 | 0.00 | 0.00 | 33.82 | 4.18 |
time (sec) |
N/A | 0.278 | 0.518 | 0.047 | 0.357 | 0.000 | 0.000 | 3.235 | 9.225 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 388 | 388 | 359 | 0 | 1762 | 0 | 0 | 21485 | 2569 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 4.54 | 0.00 | 0.00 | 55.37 | 6.62 |
time (sec) |
N/A | 0.442 | 0.694 | 0.049 | 0.466 | 0.000 | 0.000 | 6.197 | 13.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 923 | 923 | 757 | 0 | 2534 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 2.75 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.167 | 0.689 | 0.082 | 0.834 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 565 | 565 | 506 | 0 | 1591 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 2.82 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.750 | 0.377 | 0.077 | 0.752 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 362 | 0 | 868 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.25 | 0.00 | 2.99 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.379 | 0.215 | 0.042 | 0.751 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 226 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 0.125 | 0.057 | 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 | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 1441 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.362 | 0.260 | 0.051 | 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 | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 418 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.124 | 0.340 | 0.055 | 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 | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 389 | 389 | 615 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.551 | 1.039 | 0.048 | 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 | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 747 | 747 | 918 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.140 | 2.114 | 0.049 | 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 | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1208 | 1208 | 1329 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.771 | 5.151 | 0.048 | 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 | 35 | 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 | 0.021 | 0.277 | 0.039 | 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 | 33 | 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 | 0.012 | 0.187 | 0.059 | 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 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.004 | 0.013 | 0.039 | 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 | 35 | 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 | 0.023 | 0.375 | 0.129 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 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 | 0.021 | 0.566 | 0.052 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 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 | 0.023 | 6.405 | 0.046 | 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 | 35 | 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 | 0.020 | 0.602 | 0.039 | 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 | 33 | 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 | 0.011 | 0.464 | 0.011 | 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 | 27 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.004 | 0.411 | 0.052 | 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 | 35 | 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 | 0.021 | 0.953 | 0.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 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 | 0.019 | 1.841 | 0.040 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 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 | 0.020 | 20.877 | 0.049 | 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 | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 142 | 9745 | 633 | 430 | 969 | 5428 | 1009 |
N.S. | 1 | 1.00 | 0.79 | 54.14 | 3.52 | 2.39 | 5.38 | 30.16 | 5.61 |
time (sec) |
N/A | 0.085 | 0.074 | 0.340 | 0.298 | 0.442 | 4.801 | 4.178 | 4.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 120 | 5350 | 447 | 317 | 706 | 3795 | 566 |
N.S. | 1 | 1.00 | 0.81 | 35.91 | 3.00 | 2.13 | 4.74 | 25.47 | 3.80 |
time (sec) |
N/A | 0.066 | 0.069 | 0.280 | 0.295 | 0.392 | 2.443 | 3.116 | 4.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 99 | 2512 | 286 | 221 | 491 | 2450 | 290 |
N.S. | 1 | 1.00 | 0.84 | 21.29 | 2.42 | 1.87 | 4.16 | 20.76 | 2.46 |
time (sec) |
N/A | 0.051 | 0.040 | 0.271 | 0.298 | 0.368 | 1.572 | 4.058 | 4.480 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 69 | 901 | 148 | 124 | 253 | 1319 | 126 |
N.S. | 1 | 1.00 | 0.85 | 11.12 | 1.83 | 1.53 | 3.12 | 16.28 | 1.56 |
time (sec) |
N/A | 0.033 | 0.025 | 0.246 | 0.272 | 0.349 | 1.034 | 2.717 | 4.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 95 | 345 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.19 | 4.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.142 | 0.034 | 0.600 | 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 | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 75 | 105 | 173 | 134 | 82 | 233 | 110 | 104 |
N.S. | 1 | 1.19 | 1.67 | 2.75 | 2.13 | 1.30 | 3.70 | 1.75 | 1.65 |
time (sec) |
N/A | 0.031 | 0.044 | 0.254 | 0.264 | 0.353 | 0.723 | 2.843 | 5.020 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 110 | 335 | 257 | 216 | 422 | 237 | 209 |
N.S. | 1 | 1.00 | 0.76 | 2.33 | 1.78 | 1.50 | 2.93 | 1.65 | 1.45 |
time (sec) |
N/A | 0.084 | 0.092 | 0.308 | 0.325 | 0.357 | 1.279 | 2.541 | 5.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 141 | 503 | 430 | 405 | 656 | 382 | 339 |
N.S. | 1 | 1.00 | 0.81 | 2.87 | 2.46 | 2.31 | 3.75 | 2.18 | 1.94 |
time (sec) |
N/A | 0.100 | 0.109 | 0.325 | 0.308 | 0.391 | 2.006 | 2.565 | 5.584 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 158 | 675 | 649 | 628 | 944 | 528 | 577 |
N.S. | 1 | 1.00 | 0.77 | 3.28 | 3.15 | 3.05 | 4.58 | 2.56 | 2.80 |
time (sec) |
N/A | 0.124 | 0.143 | 0.366 | 0.316 | 0.367 | 2.951 | 3.132 | 6.166 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 365 | 365 | 511 | 0 | 2108 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.40 | 0.00 | 5.78 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.347 | 0.327 | 0.306 | 0.398 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 309 | 309 | 391 | 0 | 1539 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.27 | 0.00 | 4.98 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.262 | 0.224 | 0.244 | 0.385 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 287 | 0 | 1045 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.13 | 0.00 | 4.13 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.199 | 0.149 | 0.172 | 0.394 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 203 | 0 | 571 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.13 | 0.00 | 3.17 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.123 | 0.121 | 0.095 | 0.361 | 0.000 | 0.000 | 0.000 | 0.000 |