Detailed conclusion table per each integral is given by the 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 as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 138 | 64 | 71 | 189 | 104 | 0 | 90 | 456 |
N.S. |
1 | 1.02 | 0.47 | 0.53 | 1.40 | 0.77 | 0.00 | 0.67 | 3.38 |
time (sec) |
N/A | 0.773 | 1.463 | 41.609 | 0.322 | 0.264 | 0.000 | 0.860 | 19.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 54 | 73 | 163 | 88 | 0 | 58 | 446 |
N.S. |
1 | 1.00 | 0.61 | 0.83 | 1.85 | 1.00 | 0.00 | 0.66 | 5.07 |
time (sec) |
N/A | 0.515 | 0.504 | 3.442 | 0.334 | 0.272 | 0.000 | 0.738 | 18.939 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 55 | 46 | 136 | 74 | 0 | 62 | 441 |
N.S. |
1 | 1.00 | 1.34 | 1.12 | 3.32 | 1.80 | 0.00 | 1.51 | 10.76 |
time (sec) |
N/A | 0.296 | 0.117 | 3.775 | 0.316 | 0.261 | 0.000 | 0.689 | 19.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 185 | 60 | 211 | 0 | 401 | 0 | 119 | 0 |
N.S. |
1 | 1.02 | 0.33 | 1.17 | 0.00 | 2.22 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.956 | 0.753 | 3.408 | 0.000 | 0.340 | 0.000 | 0.474 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 220 | 64 | 275 | 0 | 483 | 0 | 154 | 0 |
N.S. |
1 | 1.04 | 0.30 | 1.30 | 0.00 | 2.28 | 0.00 | 0.73 | 0.00 |
time (sec) |
N/A | 1.169 | 0.835 | 3.577 | 0.000 | 0.347 | 0.000 | 0.583 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 256 | 64 | 272 | 0 | 461 | 0 | 184 | 0 |
N.S. |
1 | 1.04 | 0.26 | 1.11 | 0.00 | 1.87 | 0.00 | 0.75 | 0.00 |
time (sec) |
N/A | 1.377 | 0.999 | 3.538 | 0.000 | 0.366 | 0.000 | 0.713 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 70 | 88 | 638 | 93 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.63 | 2.05 | 14.84 | 2.16 | 0.00 | 0.00 | 3.16 |
time (sec) |
N/A | 0.320 | 0.801 | 3.337 | 0.392 | 0.261 | 0.000 | 0.000 | 15.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 60 | 74 | 298 | 78 | 0 | 0 | 78 |
N.S. |
1 | 1.00 | 1.40 | 1.72 | 6.93 | 1.81 | 0.00 | 0.00 | 1.81 |
time (sec) |
N/A | 0.331 | 0.617 | 3.461 | 0.366 | 0.272 | 0.000 | 0.000 | 14.006 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 51 | 47 | 55 | 56 | 0 | 0 | 47 |
N.S. |
1 | 1.00 | 1.24 | 1.15 | 1.34 | 1.37 | 0.00 | 0.00 | 1.15 |
time (sec) |
N/A | 0.323 | 0.323 | 3.299 | 0.342 | 0.274 | 0.000 | 0.000 | 13.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 54 | 98 | 92 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 1.92 | 1.80 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.322 | 3.268 | 0.337 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 50 | 514 | 79 | 0 | 0 | 118 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 12.24 | 1.88 | 0.00 | 0.00 | 2.81 |
time (sec) |
N/A | 0.332 | 0.509 | 3.219 | 0.379 | 0.268 | 0.000 | 0.000 | 14.622 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 56 | 67 | 758 | 106 | 0 | 0 | 203 |
N.S. |
1 | 1.00 | 1.30 | 1.56 | 17.63 | 2.47 | 0.00 | 0.00 | 4.72 |
time (sec) |
N/A | 0.336 | 0.534 | 3.367 | 0.463 | 0.265 | 0.000 | 0.000 | 18.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 84 | 107 | 1680 | 112 | 0 | 0 | 294 |
N.S. |
1 | 1.00 | 0.94 | 1.20 | 18.88 | 1.26 | 0.00 | 0.00 | 3.30 |
time (sec) |
N/A | 0.591 | 2.933 | 3.603 | 0.409 | 0.283 | 0.000 | 0.000 | 17.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 87 | 96 | 1105 | 112 | 0 | 0 | 195 |
N.S. |
1 | 1.00 | 0.98 | 1.08 | 12.42 | 1.26 | 0.00 | 0.00 | 2.19 |
time (sec) |
N/A | 0.580 | 1.619 | 3.543 | 0.393 | 0.280 | 0.000 | 0.000 | 17.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 64 | 83 | 550 | 82 | 0 | 0 | 108 |
N.S. |
1 | 1.00 | 0.72 | 0.93 | 6.18 | 0.92 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.565 | 0.703 | 3.406 | 0.417 | 0.273 | 0.000 | 0.000 | 14.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 66 | 54 | 56 | 76 | 0 | 0 | 76 |
N.S. |
1 | 1.00 | 1.53 | 1.26 | 1.30 | 1.77 | 0.00 | 0.00 | 1.77 |
time (sec) |
N/A | 0.319 | 0.408 | 3.799 | 0.328 | 0.259 | 0.000 | 0.000 | 14.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 62 | 128 | 275 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 1.35 | 2.89 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.561 | 0.412 | 3.830 | 0.389 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 70 | 199 | 122 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 2.01 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.571 | 0.588 | 3.399 | 0.318 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 65 | 533 | 95 | 0 | 0 | 165 |
N.S. |
1 | 1.00 | 1.00 | 1.55 | 12.69 | 2.26 | 0.00 | 0.00 | 3.93 |
time (sec) |
N/A | 0.337 | 0.861 | 3.590 | 0.421 | 0.268 | 0.000 | 0.000 | 16.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 68 | 77 | 1559 | 133 | 0 | 0 | 273 |
N.S. |
1 | 1.00 | 0.77 | 0.88 | 17.72 | 1.51 | 0.00 | 0.00 | 3.10 |
time (sec) |
N/A | 0.582 | 1.694 | 3.227 | 0.804 | 0.269 | 0.000 | 0.000 | 18.890 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 68 | 87 | 2608 | 158 | 0 | 0 | 340 |
N.S. |
1 | 1.00 | 0.74 | 0.95 | 28.35 | 1.72 | 0.00 | 0.00 | 3.70 |
time (sec) |
N/A | 0.570 | 4.356 | 3.335 | 3.321 | 0.278 | 0.000 | 0.000 | 19.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 68 | 97 | 3906 | 184 | 0 | 0 | 407 |
N.S. |
1 | 1.00 | 0.74 | 1.05 | 42.46 | 2.00 | 0.00 | 0.00 | 4.42 |
time (sec) |
N/A | 0.578 | 5.381 | 3.577 | 16.645 | 0.280 | 0.000 | 0.000 | 19.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 138 | 92 | 111 | 2454 | 152 | 0 | 0 | 307 |
N.S. |
1 | 1.03 | 0.69 | 0.83 | 18.31 | 1.13 | 0.00 | 0.00 | 2.29 |
time (sec) |
N/A | 0.813 | 4.304 | 1.501 | 0.430 | 0.260 | 0.000 | 0.000 | 17.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 138 | 76 | 101 | 1526 | 106 | 0 | 0 | 215 |
N.S. |
1 | 1.03 | 0.57 | 0.75 | 11.39 | 0.79 | 0.00 | 0.00 | 1.60 |
time (sec) |
N/A | 0.816 | 1.229 | 1.665 | 0.404 | 0.272 | 0.000 | 0.000 | 17.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 88 | 87 | 1106 | 112 | 0 | 0 | 195 |
N.S. |
1 | 1.00 | 0.99 | 0.98 | 12.43 | 1.26 | 0.00 | 0.00 | 2.19 |
time (sec) |
N/A | 0.557 | 0.833 | 3.662 | 0.394 | 0.262 | 0.000 | 0.000 | 16.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 70 | 58 | 58 | 93 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.63 | 1.35 | 1.35 | 2.16 | 0.00 | 0.00 | 3.16 |
time (sec) |
N/A | 0.323 | 0.431 | 3.794 | 0.322 | 0.258 | 0.000 | 0.000 | 14.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 142 | 76 | 148 | 737 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.54 | 1.05 | 5.23 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.815 | 0.369 | 3.606 | 0.412 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 143 | 78 | 235 | 2035 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.54 | 1.62 | 14.03 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.828 | 0.719 | 3.618 | 0.515 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 145 | 149 | 81 | 272 | 169 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.56 | 1.88 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.821 | 1.301 | 3.595 | 0.310 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 71 | 1815 | 126 | 0 | 0 | 199 |
N.S. |
1 | 1.00 | 1.00 | 1.69 | 43.21 | 3.00 | 0.00 | 0.00 | 4.74 |
time (sec) |
N/A | 0.326 | 1.808 | 3.612 | 0.414 | 0.272 | 0.000 | 0.000 | 17.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 78 | 81 | 2719 | 166 | 0 | 0 | 350 |
N.S. |
1 | 1.00 | 0.89 | 0.92 | 30.90 | 1.89 | 0.00 | 0.00 | 3.98 |
time (sec) |
N/A | 0.575 | 3.977 | 3.522 | 3.264 | 0.271 | 0.000 | 0.000 | 18.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 138 | 78 | 91 | 4108 | 194 | 0 | 0 | 419 |
N.S. |
1 | 1.04 | 0.59 | 0.68 | 30.89 | 1.46 | 0.00 | 0.00 | 3.15 |
time (sec) |
N/A | 0.841 | 5.425 | 3.619 | 17.083 | 0.284 | 0.000 | 0.000 | 18.618 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 141 | 74 | 137 | 737 | 0 | 0 | 160 | 0 |
N.S. |
1 | 1.01 | 0.53 | 0.99 | 5.30 | 0.00 | 0.00 | 1.15 | 0.00 |
time (sec) |
N/A | 0.807 | 0.620 | 3.785 | 0.404 | 0.000 | 0.000 | 1.554 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 60 | 116 | 276 | 0 | 0 | 129 | 0 |
N.S. |
1 | 1.00 | 0.64 | 1.23 | 2.94 | 0.00 | 0.00 | 1.37 | 0.00 |
time (sec) |
N/A | 0.549 | 0.485 | 3.616 | 0.393 | 0.000 | 0.000 | 1.341 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 50 | 75 | 64 | 0 | 0 | 59 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.50 | 1.28 | 0.00 | 0.00 | 1.18 | 0.00 |
time (sec) |
N/A | 0.306 | 0.232 | 3.682 | 0.305 | 0.000 | 0.000 | 1.166 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 65 | 44 | 204 | 0 | 70 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.38 | 0.94 | 4.34 | 0.00 | 1.49 | 0.00 |
time (sec) |
N/A | 0.386 | 0.289 | 3.239 | 0.360 | 0.311 | 0.000 | 1.619 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 75 | 115 | 406 | 382 | 0 | 92 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.21 | 4.27 | 4.02 | 0.00 | 0.97 | 0.00 |
time (sec) |
N/A | 0.619 | 0.486 | 3.594 | 0.378 | 0.341 | 0.000 | 1.881 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 145 | 83 | 157 | 1201 | 456 | 0 | 122 | 0 |
N.S. |
1 | 1.04 | 0.59 | 1.12 | 8.58 | 3.26 | 0.00 | 0.87 | 0.00 |
time (sec) |
N/A | 0.909 | 0.976 | 3.637 | 0.429 | 0.348 | 0.000 | 1.711 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 141 | 84 | 192 | 2035 | 0 | 0 | 161 | 0 |
N.S. |
1 | 0.99 | 0.59 | 1.35 | 14.33 | 0.00 | 0.00 | 1.13 | 0.00 |
time (sec) |
N/A | 0.813 | 0.635 | 3.681 | 0.490 | 0.000 | 0.000 | 1.535 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 70 | 148 | 99 | 0 | 0 | 79 | 0 |
N.S. |
1 | 1.00 | 0.74 | 1.56 | 1.04 | 0.00 | 0.00 | 0.83 | 0.00 |
time (sec) |
N/A | 0.560 | 0.421 | 3.376 | 0.306 | 0.000 | 0.000 | 1.495 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 56 | 54 | 78 | 0 | 36 | 50 |
N.S. |
1 | 1.00 | 1.00 | 1.33 | 1.29 | 1.86 | 0.00 | 0.86 | 1.19 |
time (sec) |
N/A | 0.310 | 1.116 | 3.572 | 0.312 | 0.265 | 0.000 | 1.240 | 14.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 60 | 100 | 397 | 380 | 0 | 95 | 0 |
N.S. |
1 | 1.00 | 0.63 | 1.05 | 4.18 | 4.00 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.644 | 0.352 | 3.585 | 0.383 | 0.318 | 0.000 | 1.900 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 77 | 64 | 115 | 567 | 402 | 0 | 120 | 0 |
N.S. |
1 | 0.74 | 0.62 | 1.11 | 5.45 | 3.87 | 0.00 | 1.15 | 0.00 |
time (sec) |
N/A | 0.499 | 0.412 | 3.509 | 0.406 | 0.325 | 0.000 | 2.088 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 122 | 102 | 216 | 0 | 544 | 0 | 153 | 0 |
N.S. |
1 | 0.84 | 0.70 | 1.48 | 0.00 | 3.73 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.779 | 0.623 | 3.616 | 0.000 | 0.351 | 0.000 | 1.919 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 88 | 218 | 133 | 0 | 0 | 114 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.50 | 0.92 | 0.00 | 0.00 | 0.79 | 0.00 |
time (sec) |
N/A | 0.823 | 0.722 | 3.541 | 0.299 | 0.000 | 0.000 | 1.350 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 51 | 67 | 98 | 95 | 0 | 59 | 119 |
N.S. |
1 | 1.00 | 1.21 | 1.60 | 2.33 | 2.26 | 0.00 | 1.40 | 2.83 |
time (sec) |
N/A | 0.341 | 0.522 | 2.385 | 0.316 | 0.264 | 0.000 | 1.535 | 15.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 71 | 58 | 58 | 104 | 0 | 37 | 120 |
N.S. |
1 | 1.00 | 1.65 | 1.35 | 1.35 | 2.42 | 0.00 | 0.86 | 2.79 |
time (sec) |
N/A | 0.327 | 1.165 | 3.506 | 0.327 | 0.262 | 0.000 | 1.485 | 14.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 145 | 70 | 138 | 1191 | 456 | 0 | 124 | 0 |
N.S. |
1 | 1.04 | 0.50 | 0.99 | 8.51 | 3.26 | 0.00 | 0.89 | 0.00 |
time (sec) |
N/A | 0.933 | 0.350 | 2.307 | 0.433 | 0.342 | 0.000 | 1.763 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 122 | 102 | 215 | 0 | 536 | 0 | 151 | 0 |
N.S. |
1 | 0.84 | 0.70 | 1.47 | 0.00 | 3.67 | 0.00 | 1.03 | 0.00 |
time (sec) |
N/A | 0.777 | 0.520 | 2.474 | 0.000 | 0.350 | 0.000 | 1.896 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 102 | 77 | 158 | 1659 | 482 | 0 | 182 | 0 |
N.S. |
1 | 0.64 | 0.48 | 0.99 | 10.37 | 3.01 | 0.00 | 1.14 | 0.00 |
time (sec) |
N/A | 0.604 | 0.564 | 2.289 | 0.552 | 0.351 | 0.000 | 1.860 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 95 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.320 | 0.677 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 89 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 0.285 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 85 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 0.191 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.313 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 160 | 159 | 109 | 0 | 228 | 191 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.68 | 0.00 | 1.42 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.804 | 0.817 | 0.000 | 0.329 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 102 | 72 | 0 | 171 | 112 | 0 | 0 | 154 |
N.S. |
1 | 1.02 | 0.72 | 0.00 | 1.71 | 1.12 | 0.00 | 0.00 | 1.54 |
time (sec) |
N/A | 0.503 | 0.516 | 0.000 | 0.350 | 0.274 | 0.000 | 0.000 | 15.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 163 | 0 | 114 | 70 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.54 | 0.00 | 2.48 | 1.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 1.697 | 0.000 | 0.328 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.325 | 0.366 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 74 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.333 | 0.427 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 74 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.459 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 169 | 168 | 104 | 0 | 156 | 120 | 0 | 0 | 290 |
N.S. |
1 | 0.99 | 0.62 | 0.00 | 0.92 | 0.71 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.817 | 2.473 | 0.000 | 0.310 | 0.287 | 0.000 | 0.000 | 22.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 106 | 76 | 97 | 107 | 93 | 0 | 0 | 145 |
N.S. |
1 | 1.02 | 0.73 | 0.93 | 1.03 | 0.89 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.538 | 1.085 | 5.438 | 0.315 | 0.268 | 0.000 | 0.000 | 19.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 49 | 76 | 62 | 72 | 0 | 0 | 105 |
N.S. |
1 | 1.00 | 1.04 | 1.62 | 1.32 | 1.53 | 0.00 | 0.00 | 2.23 |
time (sec) |
N/A | 0.302 | 0.793 | 5.239 | 0.324 | 0.265 | 0.000 | 0.000 | 14.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 104 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.541 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 105 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.344 | 1.289 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 105 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 2.694 | 0.000 | 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 | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 104 | 68 | 137 | 172 | 131 | 0 | 145 | 175 |
N.S. |
1 | 0.99 | 0.65 | 1.30 | 1.64 | 1.25 | 0.00 | 1.38 | 1.67 |
time (sec) |
N/A | 0.399 | 0.228 | 4.052 | 0.231 | 0.269 | 0.000 | 0.349 | 17.843 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 78 | 57 | 126 | 160 | 117 | 0 | 128 | 146 |
N.S. |
1 | 0.91 | 0.66 | 1.47 | 1.86 | 1.36 | 0.00 | 1.49 | 1.70 |
time (sec) |
N/A | 0.363 | 0.135 | 3.808 | 0.225 | 0.272 | 0.000 | 0.319 | 16.592 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 34 | 36 | 35 | 51 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 2.00 | 2.12 | 2.06 | 3.00 | 0.88 | 0.88 |
time (sec) |
N/A | 0.294 | 0.013 | 1.974 | 0.230 | 0.249 | 0.853 | 0.297 | 13.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 57 | 154 | 78 | 194 | 105 | 0 | 87 | 71 |
N.S. |
1 | 1.02 | 2.75 | 1.39 | 3.46 | 1.88 | 0.00 | 1.55 | 1.27 |
time (sec) |
N/A | 0.477 | 0.599 | 0.726 | 0.246 | 0.275 | 0.000 | 0.302 | 13.561 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 73 | 48 | 60 | 144 | 123 | 0 | 81 | 44 |
N.S. |
1 | 1.04 | 0.69 | 0.86 | 2.06 | 1.76 | 0.00 | 1.16 | 0.63 |
time (sec) |
N/A | 0.569 | 0.352 | 0.583 | 0.233 | 0.266 | 0.000 | 0.319 | 13.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 88 | 47 | 36 | 115 | 78 | 0 | 37 | 35 |
N.S. |
1 | 1.02 | 0.55 | 0.42 | 1.34 | 0.91 | 0.00 | 0.43 | 0.41 |
time (sec) |
N/A | 0.519 | 0.155 | 0.748 | 0.225 | 0.268 | 0.000 | 0.323 | 13.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 140 | 138 | 325 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 2.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.422 | 3.025 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 72 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 0.248 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 180 | 181 | 3396 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 18.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.720 | 14.787 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 226 | 229 | 187 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.046 | 1.985 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 127 | 162 | 189 | 979 | 340 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 1.56 | 1.82 | 9.41 | 3.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.450 | 4.330 | 5.285 | 0.455 | 0.343 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 99 | 73 | 107 | 0 | 260 | 0 | 132 | 0 |
N.S. |
1 | 1.22 | 0.90 | 1.32 | 0.00 | 3.21 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 0.416 | 1.677 | 2.405 | 0.000 | 0.281 | 0.000 | 0.824 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 157 | 724 | 255 | 1310 | 462 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 5.17 | 1.82 | 9.36 | 3.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.464 | 11.248 | 5.046 | 0.449 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 135 | 236 | 124 | 536 | 330 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 2.03 | 1.07 | 4.62 | 2.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.481 | 3.920 | 3.067 | 0.418 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 198 | 328 | 222 | 1400 | 569 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.83 | 1.24 | 7.82 | 3.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 3.071 | 5.196 | 0.453 | 0.379 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 94 | 101 | 56 | 255 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.04 | 2.20 | 1.22 | 5.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.461 | 1.760 | 2.581 | 0.399 | 0.342 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 98 | 402 | 0 | 357 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.51 | 6.18 | 0.00 | 5.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.592 | 18.878 | 0.000 | 0.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 252 | 153 | 237 | 379 | 281 | 0 | 566 | 361 |
N.S. |
1 | 1.07 | 0.65 | 1.00 | 1.61 | 1.19 | 0.00 | 2.40 | 1.53 |
time (sec) |
N/A | 1.398 | 1.798 | 5.160 | 0.233 | 0.279 | 0.000 | 0.390 | 17.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 182 | 103 | 185 | 266 | 211 | 0 | 380 | 255 |
N.S. |
1 | 1.06 | 0.60 | 1.08 | 1.56 | 1.23 | 0.00 | 2.22 | 1.49 |
time (sec) |
N/A | 1.023 | 0.521 | 4.002 | 0.223 | 0.284 | 0.000 | 0.356 | 17.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 114 | 75 | 118 | 165 | 150 | 0 | 232 | 196 |
N.S. |
1 | 1.06 | 0.69 | 1.09 | 1.53 | 1.39 | 0.00 | 2.15 | 1.81 |
time (sec) |
N/A | 0.691 | 0.312 | 3.179 | 0.214 | 0.271 | 0.000 | 0.332 | 16.372 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 59 | 75 | 75 | 88 | 96 | 0 | 124 | 111 |
N.S. |
1 | 1.05 | 1.34 | 1.34 | 1.57 | 1.71 | 0.00 | 2.21 | 1.98 |
time (sec) |
N/A | 0.425 | 0.027 | 2.195 | 0.207 | 0.267 | 0.000 | 0.303 | 14.433 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 107 | 90 | 0 | 255 | 0 | 127 | 195 |
N.S. |
1 | 1.00 | 1.55 | 1.30 | 0.00 | 3.70 | 0.00 | 1.84 | 2.83 |
time (sec) |
N/A | 0.492 | 0.761 | 0.716 | 0.000 | 0.305 | 0.000 | 0.328 | 13.829 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 90 | 75 | 105 | 0 | 357 | 0 | 137 | 85 |
N.S. |
1 | 1.14 | 0.95 | 1.33 | 0.00 | 4.52 | 0.00 | 1.73 | 1.08 |
time (sec) |
N/A | 0.474 | 0.769 | 0.659 | 0.000 | 0.286 | 0.000 | 0.319 | 13.473 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 149 | 167 | 178 | 0 | 736 | 0 | 263 | 171 |
N.S. |
1 | 1.14 | 1.27 | 1.36 | 0.00 | 5.62 | 0.00 | 2.01 | 1.31 |
time (sec) |
N/A | 0.720 | 1.537 | 0.793 | 0.000 | 0.310 | 0.000 | 0.358 | 15.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 216 | 247 | 271 | 0 | 1278 | 0 | 449 | 321 |
N.S. |
1 | 1.14 | 1.31 | 1.43 | 0.00 | 6.76 | 0.00 | 2.38 | 1.70 |
time (sec) |
N/A | 1.071 | 3.648 | 1.061 | 0.000 | 0.359 | 0.000 | 0.367 | 16.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 327 | 390 | 180 | 361 | 683 | 387 | 0 | 736 | 484 |
N.S. |
1 | 1.19 | 0.55 | 1.10 | 2.09 | 1.18 | 0.00 | 2.25 | 1.48 |
time (sec) |
N/A | 0.547 | 6.186 | 5.925 | 0.219 | 0.278 | 0.000 | 0.414 | 17.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 302 | 140 | 269 | 469 | 294 | 0 | 506 | 394 |
N.S. |
1 | 1.25 | 0.58 | 1.11 | 1.94 | 1.21 | 0.00 | 2.09 | 1.63 |
time (sec) |
N/A | 0.458 | 3.455 | 5.180 | 0.220 | 0.286 | 0.000 | 0.390 | 17.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 269 | 100 | 202 | 324 | 209 | 0 | 320 | 237 |
N.S. |
1 | 1.53 | 0.57 | 1.15 | 1.84 | 1.19 | 0.00 | 1.82 | 1.35 |
time (sec) |
N/A | 0.404 | 1.675 | 4.360 | 0.214 | 0.272 | 0.000 | 0.351 | 17.204 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 92 | 63 | 120 | 167 | 138 | 0 | 178 | 161 |
N.S. |
1 | 0.89 | 0.61 | 1.17 | 1.62 | 1.34 | 0.00 | 1.73 | 1.56 |
time (sec) |
N/A | 0.563 | 0.730 | 2.933 | 0.205 | 0.271 | 0.000 | 0.315 | 16.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | C | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 201 | 329 | 150 | 0 | 398 | 0 | 196 | 529 |
N.S. |
1 | 2.12 | 3.46 | 1.58 | 0.00 | 4.19 | 0.00 | 2.06 | 5.57 |
time (sec) |
N/A | 0.406 | 2.848 | 0.807 | 0.000 | 0.415 | 0.000 | 0.352 | 14.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 230 | 312 | 157 | 0 | 567 | 0 | 230 | 2563 |
N.S. |
1 | 1.97 | 2.67 | 1.34 | 0.00 | 4.85 | 0.00 | 1.97 | 21.91 |
time (sec) |
N/A | 0.415 | 2.440 | 0.809 | 0.000 | 0.418 | 0.000 | 0.363 | 16.422 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 224 | 249 | 167 | 0 | 622 | 0 | 211 | 158 |
N.S. |
1 | 1.72 | 1.92 | 1.28 | 0.00 | 4.78 | 0.00 | 1.62 | 1.22 |
time (sec) |
N/A | 0.363 | 1.845 | 0.801 | 0.000 | 0.311 | 0.000 | 0.387 | 15.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 307 | 211 | 228 | 0 | 1234 | 0 | 403 | 286 |
N.S. |
1 | 1.44 | 0.99 | 1.07 | 0.00 | 5.79 | 0.00 | 1.89 | 1.34 |
time (sec) |
N/A | 0.433 | 3.980 | 1.054 | 0.000 | 0.341 | 0.000 | 0.413 | 16.584 |