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 | B | C | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 121 | 890 | 335 | 119 | 0 | 102 | -1 |
N.S. | 1 | 1.00 | 0.66 | 4.89 | 1.84 | 0.65 | 0.00 | 0.56 | -0.01 |
time (sec) |
N/A | 0.134 | 0.358 | 0.071 | 0.569 | 1.859 | 0.000 | 1.993 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 107 | 644 | 214 | 107 | 0 | 91 | -1 |
N.S. | 1 | 1.00 | 0.82 | 4.95 | 1.65 | 0.82 | 0.00 | 0.70 | -0.01 |
time (sec) |
N/A | 0.039 | 0.293 | 0.076 | 0.514 | 1.857 | 0.000 | 1.499 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 95 | 347 | 128 | 98 | 0 | 80 | -1 |
N.S. | 1 | 1.00 | 0.84 | 3.07 | 1.13 | 0.87 | 0.00 | 0.71 | -0.01 |
time (sec) |
N/A | 0.029 | 0.326 | 0.079 | 0.517 | 2.653 | 0.000 | 1.904 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 115 | 1192 | 0 | 112 | 0 | 97 | -1 |
N.S. | 1 | 1.00 | 1.29 | 13.39 | 0.00 | 1.26 | 0.00 | 1.09 | -0.01 |
time (sec) |
N/A | 0.130 | 0.399 | 0.079 | 0.000 | 2.131 | 0.000 | 1.785 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 114 | 1322 | 0 | 125 | 0 | 170 | -1 |
N.S. | 1 | 1.00 | 1.21 | 14.06 | 0.00 | 1.33 | 0.00 | 1.81 | -0.01 |
time (sec) |
N/A | 0.204 | 0.381 | 0.086 | 0.000 | 2.494 | 0.000 | 1.730 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 130 | 1461 | 0 | 107 | 0 | 229 | -1 |
N.S. | 1 | 1.00 | 1.18 | 13.28 | 0.00 | 0.97 | 0.00 | 2.08 | -0.01 |
time (sec) |
N/A | 0.262 | 0.418 | 0.072 | 0.000 | 2.517 | 0.000 | 1.432 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 103 | 1626 | 0 | 117 | 0 | 300 | -1 |
N.S. | 1 | 1.00 | 0.75 | 11.87 | 0.00 | 0.85 | 0.00 | 2.19 | -0.01 |
time (sec) |
N/A | 0.396 | 0.463 | 0.102 | 0.000 | 3.462 | 0.000 | 1.335 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 116 | 1799 | 0 | 129 | 0 | 360 | -1 |
N.S. | 1 | 1.00 | 0.68 | 10.58 | 0.00 | 0.76 | 0.00 | 2.12 | -0.01 |
time (sec) |
N/A | 0.502 | 0.472 | 0.089 | 0.000 | 2.028 | 0.000 | 1.880 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 127 | 1997 | 0 | 139 | 0 | 426 | -1 |
N.S. | 1 | 1.00 | 0.65 | 10.19 | 0.00 | 0.71 | 0.00 | 2.17 | -0.01 |
time (sec) |
N/A | 0.477 | 0.578 | 0.107 | 0.000 | 2.276 | 0.000 | 1.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 82 | 245 | 0 | 126 | 0 | 0 | 220 |
N.S. |
1 | 1.00 | 0.86 | 2.58 | 0.00 | 1.33 | 0.00 | 0.00 | 2.32 |
time (sec) |
N/A | 0.092 | 0.358 | 0.068 | 0.000 | 1.605 | 0.000 | 0.000 | 2.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 50 | 258 | 153 | 102 | 0 | 0 | 287 |
N.S. |
1 | 1.00 | 0.57 | 2.93 | 1.74 | 1.16 | 0.00 | 0.00 | 3.26 |
time (sec) |
N/A | 0.078 | 0.416 | 0.073 | 0.292 | 1.835 | 0.000 | 0.000 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 137 | 1212 | 365 | 291 | 0 | 0 | 252 |
N.S. | 1 | 1.00 | 0.66 | 5.80 | 1.75 | 1.39 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.198 | 0.618 | 0.071 | 0.307 | 4.409 | 0.000 | 0.000 | 3.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 137 | 985 | 367 | 292 | 0 | 0 | 252 |
N.S. | 1 | 1.00 | 0.66 | 4.71 | 1.76 | 1.40 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.130 | 0.592 | 0.068 | 0.314 | 2.226 | 0.000 | 0.000 | 3.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 137 | 708 | 371 | 291 | 0 | 0 | 252 |
N.S. | 1 | 1.00 | 0.65 | 3.36 | 1.76 | 1.38 | 0.00 | 0.00 | 1.19 |
time (sec) |
N/A | 0.068 | 0.582 | 0.068 | 0.308 | 2.856 | 0.000 | 0.000 | 3.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 137 | 379 | 370 | 291 | 0 | 0 | 242 |
N.S. | 1 | 1.00 | 0.67 | 1.85 | 1.80 | 1.42 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.061 | 0.018 | 0.067 | 0.319 | 5.288 | 0.000 | 0.000 | 3.118 |
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 | 234 | 234 | 173 | 1328 | 0 | 402 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 5.68 | 0.00 | 1.72 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.244 | 0.957 | 0.110 | 0.000 | 5.623 | 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 | 271 | 271 | 193 | 1429 | 0 | 425 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.71 | 5.27 | 0.00 | 1.57 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.429 | 0.932 | 0.158 | 0.000 | 3.670 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 81 | 95 | 0 | 217 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 0.93 | 0.00 | 2.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 0.303 | 0.087 | 0.000 | 2.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 47 | 58 | 0 | 110 | 0 | 57 | -1 |
N.S. | 1 | 1.00 | 1.21 | 1.49 | 0.00 | 2.82 | 0.00 | 1.46 | -0.03 |
time (sec) |
N/A | 0.025 | 0.218 | 0.067 | 0.000 | 2.390 | 0.000 | 1.380 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | C | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 52 | 62 | 48 | 92 | 82 | 0 | 38 |
N.S. |
1 | 1.00 | 1.49 | 1.77 | 1.37 | 2.63 | 2.34 | 0.00 | 1.09 |
time (sec) |
N/A | 0.006 | 0.063 | 0.086 | 0.510 | 2.171 | 0.793 | 0.000 | 2.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 76 | 0 | 199 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 2.17 | 0.00 | 5.69 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.018 | 1.509 | 0.071 | 0.000 | 2.705 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 46 | 57 | 68 | 90 | 29 | 0 | 36 |
N.S. |
1 | 1.00 | 1.35 | 1.68 | 2.00 | 2.65 | 0.85 | 0.00 | 1.06 |
time (sec) |
N/A | 0.005 | 0.048 | 0.078 | 0.494 | 3.078 | 0.798 | 0.000 | 3.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 86 | 0 | 208 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 2.53 | 0.00 | 6.12 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.018 | 1.546 | 0.077 | 0.000 | 2.569 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | C | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 64 | 84 | 82 | 111 | 148 | 0 | 54 |
N.S. |
1 | 1.00 | 1.02 | 1.33 | 1.30 | 1.76 | 2.35 | 0.00 | 0.86 |
time (sec) |
N/A | 0.010 | 0.082 | 0.075 | 0.537 | 1.966 | 1.773 | 0.000 | 2.597 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 49 | 92 | 0 | 221 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 1.46 | 0.00 | 3.51 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.021 | 1.469 | 0.073 | 0.000 | 2.479 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 199 | 0 | 0 | 0 | 513 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 2.05 | 0.00 | -0.00 |
time (sec) |
N/A | 0.248 | 0.852 | 0.010 | 0.000 | 0.000 | 21.186 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 174 | 0 | 0 | 0 | 442 | 0 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 2.15 | 0.00 | -0.00 |
time (sec) |
N/A | 0.135 | 0.739 | 0.010 | 0.000 | 0.000 | 15.518 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 121 | 0 | 0 | 0 | 374 | 0 | -1 |
N.S. | 1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 2.31 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 0.630 | 0.007 | 0.000 | 0.000 | 11.341 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 78 | 0 | 0 | 0 | 61 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 | -0.01 |
time (sec) |
N/A | 0.016 | 0.381 | 0.009 | 0.000 | 0.000 | 5.180 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 122 | 0 | 0 | 0 | 248 | 0 | -1 |
N.S. | 1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 1.52 | 0.00 | -0.01 |
time (sec) |
N/A | 0.090 | 0.631 | 0.012 | 0.000 | 0.000 | 10.842 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 173 | 0 | 0 | 0 | 185 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.91 | 0.00 | -0.00 |
time (sec) |
N/A | 0.136 | 0.640 | 0.010 | 0.000 | 0.000 | 33.842 | 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 | 250 | 250 | 245 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.243 | 0.716 | 0.011 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 199 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.134 | 1.081 | 0.010 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 174 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.134 | 0.884 | 0.009 | 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 | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 162 | 121 | 0 | 0 | 0 | 117 | 0 | -1 |
N.S. | 1 | 1.31 | 0.98 | 0.00 | 0.00 | 0.00 | 0.94 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 0.789 | 0.007 | 0.000 | 0.000 | 26.867 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 78 | 0 | 0 | 0 | 60 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.75 | 0.00 | -0.01 |
time (sec) |
N/A | 0.016 | 0.551 | 0.007 | 0.000 | 0.000 | 5.499 | 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 | 163 | 163 | 122 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.090 | 1.067 | 0.012 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 176 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.141 | 1.254 | 0.012 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 200 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.144 | 1.507 | 0.010 | 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 | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 132 | 0 | 0 | 0 | 972 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 6.57 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 0.223 | 0.019 | 0.000 | 0.000 | 2.356 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 129 | 0 | 0 | 0 | 972 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 6.61 | 0.00 | -0.01 |
time (sec) |
N/A | 0.063 | 0.201 | 0.016 | 0.000 | 0.000 | 2.170 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 106 | 0 | 0 | 0 | 382 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 3.18 | 0.00 | -0.01 |
time (sec) |
N/A | 0.047 | 0.186 | 0.014 | 0.000 | 0.000 | 1.840 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 103 | 0 | 0 | 0 | 382 | 0 | -1 |
N.S. | 1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.00 | 3.21 | 0.00 | -0.01 |
time (sec) |
N/A | 0.042 | 0.179 | 0.013 | 0.000 | 0.000 | 1.705 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 89 | 0 | 0 | 0 | 85 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.96 | 0.00 | -0.01 |
time (sec) |
N/A | 0.021 | 0.134 | 0.013 | 0.000 | 0.000 | 1.451 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 83 | 0 | 0 | 0 | 82 | 0 | 78 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.99 | 0.00 | 0.94 |
time (sec) |
N/A | 0.015 | 0.148 | 0.012 | 0.000 | 0.000 | 1.477 | 0.000 | 4.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 104 | 0 | 0 | 0 | 78 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.75 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.149 | 0.007 | 0.000 | 0.000 | 3.610 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 108 | 0 | 0 | 0 | 82 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.177 | 0.008 | 0.000 | 0.000 | 2.007 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 106 | 0 | 0 | 0 | 85 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.77 | 0.00 | -0.01 |
time (sec) |
N/A | 0.039 | 0.181 | 0.013 | 0.000 | 0.000 | 2.073 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 159 | 0 | 0 | 0 | 2924 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 16.43 | 0.00 | -0.01 |
time (sec) |
N/A | 0.099 | 0.276 | 0.022 | 0.000 | 0.000 | 3.565 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 186 | 0 | 0 | 0 | 1015 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 5.49 | 0.00 | -0.01 |
time (sec) |
N/A | 0.106 | 0.294 | 0.019 | 0.000 | 0.000 | 2.906 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 138 | 0 | 0 | 0 | 1328 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 8.91 | 0.00 | -0.01 |
time (sec) |
N/A | 0.086 | 0.236 | 0.018 | 0.000 | 0.000 | 2.617 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 168 | 0 | 0 | 0 | 425 | 0 | -1 |
N.S. | 1 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 2.74 | 0.00 | -0.01 |
time (sec) |
N/A | 0.091 | 0.257 | 0.017 | 0.000 | 0.000 | 2.325 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 110 | 0 | 0 | 0 | 440 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 3.73 | 0.00 | -0.01 |
time (sec) |
N/A | 0.061 | 0.178 | 0.015 | 0.000 | 0.000 | 1.969 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 134 | 0 | 0 | 0 | 124 | 0 | -1 |
N.S. | 1 | 1.00 | 1.89 | 0.00 | 0.00 | 0.00 | 1.75 | 0.00 | -0.01 |
time (sec) |
N/A | 0.021 | 0.206 | 0.014 | 0.000 | 0.000 | 1.802 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 103 | 0 | 0 | 0 | 136 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 1.06 | 0.00 | -0.01 |
time (sec) |
N/A | 0.060 | 0.187 | 0.011 | 0.000 | 0.000 | 3.610 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 153 | 0 | 0 | 0 | 116 | 0 | -1 |
N.S. | 1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.91 | 0.00 | -0.01 |
time (sec) |
N/A | 0.075 | 0.241 | 0.010 | 0.000 | 0.000 | 2.506 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 131 | 0 | 0 | 0 | 139 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.223 | 0.017 | 0.000 | 0.000 | 2.796 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 205 | 0 | 0 | 0 | 2966 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 13.36 | 0.00 | -0.00 |
time (sec) |
N/A | 0.123 | 0.429 | 0.012 | 0.000 | 0.000 | 4.577 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 219 | 0 | 0 | 0 | 2966 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 13.61 | 0.00 | -0.00 |
time (sec) |
N/A | 0.120 | 0.414 | 0.023 | 0.000 | 0.000 | 4.171 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 187 | 0 | 0 | 0 | 1370 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 7.10 | 0.00 | -0.01 |
time (sec) |
N/A | 0.110 | 0.344 | 0.021 | 0.000 | 0.000 | 3.409 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 187 | 0 | 0 | 0 | 1370 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 7.25 | 0.00 | -0.01 |
time (sec) |
N/A | 0.104 | 0.333 | 0.019 | 0.000 | 0.000 | 3.144 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 159 | 0 | 0 | 0 | 479 | 0 | -1 |
N.S. | 1 | 1.00 | 1.37 | 0.00 | 0.00 | 0.00 | 4.13 | 0.00 | -0.01 |
time (sec) |
N/A | 0.048 | 0.360 | 0.021 | 0.000 | 0.000 | 2.582 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 155 | 0 | 0 | 0 | 476 | 0 | -1 |
N.S. | 1 | 1.00 | 2.12 | 0.00 | 0.00 | 0.00 | 6.52 | 0.00 | -0.01 |
time (sec) |
N/A | 0.019 | 0.292 | 0.018 | 0.000 | 0.000 | 2.341 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 169 | 0 | 0 | 0 | 178 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 1.04 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.287 | 0.016 | 0.000 | 0.000 | 4.668 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 158 | 0 | 0 | 0 | 177 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 1.11 | 0.00 | -0.01 |
time (sec) |
N/A | 0.116 | 0.276 | 0.013 | 0.000 | 0.000 | 2.869 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 182 | 0 | 0 | 0 | 177 | 0 | -1 |
N.S. | 1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 1.07 | 0.00 | -0.01 |
time (sec) |
N/A | 0.137 | 0.290 | 0.016 | 0.000 | 0.000 | 3.335 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 66 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 0.273 | 0.027 | 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 | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 245 | 0 | 0 | 0 | 5090 | 0 | -1 |
N.S. | 1 | 1.00 | 2.02 | 0.00 | 0.00 | 0.00 | 42.07 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.395 | 0.023 | 0.000 | 0.000 | 65.345 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 198 | 0 | 0 | 0 | 4124 | 0 | -1 |
N.S. | 1 | 1.00 | 1.66 | 0.00 | 0.00 | 0.00 | 34.66 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 0.336 | 0.018 | 0.000 | 0.000 | 12.623 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 147 | 0 | 0 | 0 | 427 | 0 | -1 |
N.S. | 1 | 1.00 | 1.63 | 0.00 | 0.00 | 0.00 | 4.74 | 0.00 | -0.01 |
time (sec) |
N/A | 0.038 | 0.217 | 0.018 | 0.000 | 0.000 | 4.241 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 75 | 0 | 0 | 0 | 321 | 0 | -1 |
N.S. | 1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 4.40 | 0.00 | -0.01 |
time (sec) |
N/A | 0.023 | 0.173 | 0.018 | 0.000 | 0.000 | 2.865 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 151 | 0 | 0 | 0 | 355 | 0 | -1 |
N.S. | 1 | 1.00 | 1.45 | 0.00 | 0.00 | 0.00 | 3.41 | 0.00 | -0.01 |
time (sec) |
N/A | 0.045 | 0.236 | 0.013 | 0.000 | 0.000 | 3.036 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 167 | 0 | 0 | 0 | 450 | 0 | -1 |
N.S. | 1 | 1.00 | 1.58 | 0.00 | 0.00 | 0.00 | 4.25 | 0.00 | -0.01 |
time (sec) |
N/A | 0.052 | 0.305 | 0.018 | 0.000 | 0.000 | 4.552 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 219 | 0 | 0 | 0 | 498 | 0 | -1 |
N.S. | 1 | 1.00 | 2.03 | 0.00 | 0.00 | 0.00 | 4.61 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 0.586 | 0.023 | 0.000 | 0.000 | 13.659 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 66 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.121 | 0.340 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 66 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.133 | 0.323 | 0.029 | 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 | 150 | 150 | 332 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.110 | 0.400 | 0.023 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 177 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.118 | 0.315 | 0.021 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 102 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.212 | 0.021 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 75 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 0.205 | 0.019 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 201 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.082 | 0.284 | 0.012 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 223 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.108 | 0.458 | 0.019 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 283 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.109 | 0.532 | 0.023 | 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 | 145 | 145 | 334 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.114 | 0.543 | 0.028 | 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 | 145 | 145 | 389 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.114 | 0.603 | 0.033 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 245 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.149 | 0.498 | 0.030 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 202 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.131 | 0.417 | 0.029 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 130 | 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 | 0.119 | 0.301 | 0.030 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 102 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.249 | 0.026 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 75 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.020 | 0.227 | 0.026 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 328 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.101 | 0.378 | 0.013 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 280 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.150 | 0.531 | 0.028 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 341 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.175 | 0.694 | 0.030 | 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 | 179 | 179 | 393 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.178 | 0.639 | 0.037 | 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 | 174 | 174 | 446 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.186 | 0.733 | 0.012 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 265 | 265 | 231 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.203 | 0.539 | 0.036 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 156 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.242 | 0.420 | 0.036 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 130 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.123 | 0.356 | 0.037 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 102 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.288 | 0.034 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 75 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.020 | 0.254 | 0.034 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |