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 | A | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 218 | 218 | 173 | 559 | 252 | 420 | 0 | 486 | -1 |
| N.S. |
1 | 1.00 | 0.79 | 2.56 | 1.16 | 1.93 | 0.00 | 2.23 | -0.00 |
| time (sec) |
N/A | 0.173 | 1.231 | 0.089 | 0.554 | 0.664 | 0.000 | 3.527 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 403 | 403 | 258 | 554 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.64 | 1.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.266 | 1.586 | 0.060 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 312 | 312 | 212 | 358 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.68 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.155 | 1.050 | 0.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 252 | 252 | 86 | 127 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.34 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.077 | 0.852 | 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 | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 289 | 289 | 111 | 297 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.38 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.133 | 1.105 | 0.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 375 | 372 | 238 | 444 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.99 | 0.63 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.220 | 1.460 | 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 | A | A | F(-1) | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 354 | 353 | 247 | 1027 | 428 | 750 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.70 | 2.90 | 1.21 | 2.12 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.361 | 4.618 | 0.153 | 0.518 | 0.645 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F(-1) | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 202 | 179 | 679 | 281 | 554 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.89 | 3.36 | 1.39 | 2.74 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.234 | 2.215 | 0.109 | 0.511 | 0.593 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F(-1) | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 146 | 146 | 138 | 432 | 180 | 403 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.95 | 2.96 | 1.23 | 2.76 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.120 | 1.414 | 0.100 | 0.497 | 0.515 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | B | F(-1) | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 152 | 152 | 189 | 401 | 185 | 1177 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.24 | 2.64 | 1.22 | 7.74 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.197 | 1.700 | 0.070 | 0.516 | 0.871 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F(-1) | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 170 | 170 | 148 | 641 | 178 | 433 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.87 | 3.77 | 1.05 | 2.55 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.143 | 2.120 | 0.117 | 0.504 | 1.026 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F(-1) | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 255 | 255 | 189 | 1042 | 281 | 584 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.74 | 4.09 | 1.10 | 2.29 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.245 | 4.429 | 0.136 | 0.540 | 1.859 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 453 | 453 | 271 | 936 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.60 | 2.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.361 | 4.731 | 0.128 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 378 | 219 | 643 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.58 | 1.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.217 | 4.103 | 0.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 327 | 327 | 203 | 514 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.62 | 1.57 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.134 | 4.004 | 0.041 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 380 | 380 | 223 | 654 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.59 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.231 | 4.300 | 0.072 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 444 | 444 | 266 | 866 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.60 | 1.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.346 | 4.835 | 0.087 | 0.000 | 0.000 | 0.000 | 0.000 | 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 | 216 | 217 | 145 | 533 | 328 | 423 | 0 | 219 | -1 |
| N.S. | 1 | 1.00 | 0.67 | 2.47 | 1.52 | 1.96 | 0.00 | 1.01 | -0.00 |
| time (sec) |
N/A | 0.290 | 0.240 | 0.094 | 0.513 | 0.389 | 0.000 | 4.228 | 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 | 141 | 141 | 107 | 353 | 218 | 325 | 0 | 159 | -1 |
| N.S. | 1 | 1.00 | 0.76 | 2.50 | 1.55 | 2.30 | 0.00 | 1.13 | -0.01 |
| time (sec) |
N/A | 0.178 | 0.142 | 0.063 | 0.518 | 0.376 | 0.000 | 3.538 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | A | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 69 | 69 | 85 | 180 | 126 | 267 | 0 | 127 | 120 |
| N.S. | 1 | 1.00 | 1.23 | 2.61 | 1.83 | 3.87 | 0.00 | 1.84 | 1.74 |
| time (sec) |
N/A | 0.036 | 0.102 | 0.094 | 0.501 | 0.376 | 0.000 | 4.430 | 3.007 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | B | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 96 | 102 | 235 | 159 | 927 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.06 | 2.45 | 1.66 | 9.66 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.163 | 0.140 | 0.049 | 0.535 | 0.416 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | B | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 104 | 104 | 110 | 454 | 156 | 433 | 0 | 281 | -1 |
| N.S. | 1 | 1.00 | 1.06 | 4.37 | 1.50 | 4.16 | 0.00 | 2.70 | -0.01 |
| time (sec) |
N/A | 0.133 | 0.213 | 0.075 | 0.497 | 0.392 | 0.000 | 5.761 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 174 | 174 | 152 | 923 | 322 | 577 | 0 | 713 | -1 |
| N.S. | 1 | 1.00 | 0.87 | 5.30 | 1.85 | 3.32 | 0.00 | 4.10 | -0.01 |
| time (sec) |
N/A | 0.231 | 0.268 | 0.086 | 0.507 | 0.489 | 0.000 | 4.447 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 265 | 265 | 216 | 1518 | 557 | 755 | 0 | 1414 | -1 |
| N.S. | 1 | 1.00 | 0.82 | 5.73 | 2.10 | 2.85 | 0.00 | 5.34 | -0.00 |
| time (sec) |
N/A | 0.360 | 0.418 | 0.108 | 0.554 | 0.645 | 0.000 | 4.427 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 368 | 368 | 293 | 662 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.80 | 1.80 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.349 | 10.577 | 0.075 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 282 | 282 | 250 | 406 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.89 | 1.44 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.208 | 10.388 | 0.045 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 213 | 98 | 199 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.46 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.100 | 10.046 | 0.025 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 265 | 265 | 141 | 272 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.53 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.189 | 10.399 | 0.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 362 | 362 | 314 | 571 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.87 | 1.58 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.289 | 10.663 | 0.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 466 | 466 | 402 | 955 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.86 | 2.05 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.410 | 10.729 | 0.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 249 | 150 | 1018 | 368 | 427 | 0 | 527 | -1 |
| N.S. | 1 | 1.00 | 0.60 | 4.09 | 1.48 | 1.71 | 0.00 | 2.12 | -0.00 |
| time (sec) |
N/A | 0.339 | 0.247 | 0.131 | 0.523 | 0.420 | 0.000 | 3.670 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 172 | 172 | 113 | 593 | 247 | 335 | 0 | 438 | -1 |
| N.S. | 1 | 1.00 | 0.66 | 3.45 | 1.44 | 1.95 | 0.00 | 2.55 | -0.01 |
| time (sec) |
N/A | 0.223 | 0.181 | 0.098 | 0.522 | 0.419 | 0.000 | 4.034 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 94 | 94 | 87 | 336 | 156 | 269 | 0 | 387 | 61 |
| N.S. | 1 | 1.00 | 0.93 | 3.57 | 1.66 | 2.86 | 0.00 | 4.12 | 0.65 |
| time (sec) |
N/A | 0.045 | 0.113 | 0.121 | 0.512 | 0.409 | 0.000 | 5.255 | 3.739 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 126 | 126 | 139 | 652 | 201 | 1073 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.10 | 5.17 | 1.60 | 8.52 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.252 | 0.192 | 0.071 | 0.529 | 0.466 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 138 | 124 | 820 | 202 | 404 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.90 | 5.94 | 1.46 | 2.93 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.164 | 0.213 | 0.108 | 0.502 | 0.443 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 205 | 153 | 1653 | 313 | 557 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.75 | 8.06 | 1.53 | 2.72 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.275 | 0.215 | 0.148 | 0.508 | 0.701 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | A | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 226 | 2605 | 534 | 733 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.77 | 8.92 | 1.83 | 2.51 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.424 | 0.446 | 0.153 | 0.536 | 0.951 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 405 | 405 | 308 | 1098 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.76 | 2.71 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.425 | 10.594 | 0.103 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 331 | 331 | 270 | 820 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.82 | 2.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.272 | 10.532 | 0.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 243 | 515 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.93 | 1.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.154 | 10.385 | 0.040 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 312 | 312 | 278 | 873 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.89 | 2.80 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.288 | 10.490 | 0.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 388 | 388 | 329 | 1039 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.85 | 2.68 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.413 | 10.573 | 0.072 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 494 | 494 | 430 | 1666 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.87 | 3.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.557 | 10.764 | 0.088 | 0.000 | 0.000 | 0.000 | 0.000 | 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 | 225 | 225 | 148 | 533 | 340 | 425 | 0 | 226 | -1 |
| N.S. | 1 | 1.00 | 0.66 | 2.37 | 1.51 | 1.89 | 0.00 | 1.00 | -0.00 |
| time (sec) |
N/A | 0.294 | 0.242 | 0.079 | 0.511 | 0.374 | 0.000 | 3.407 | 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 | 148 | 148 | 108 | 354 | 223 | 333 | 0 | 167 | -1 |
| N.S. | 1 | 1.00 | 0.73 | 2.39 | 1.51 | 2.25 | 0.00 | 1.13 | -0.01 |
| time (sec) |
N/A | 0.183 | 0.139 | 0.065 | 0.524 | 0.385 | 0.000 | 4.464 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | A | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 72 | 88 | 184 | 129 | 267 | 0 | 129 | 111 |
| N.S. | 1 | 1.00 | 1.22 | 2.56 | 1.79 | 3.71 | 0.00 | 1.79 | 1.54 |
| time (sec) |
N/A | 0.039 | 0.106 | 0.235 | 0.511 | 0.359 | 0.000 | 4.816 | 3.342 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | B | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 96 | 101 | 312 | 155 | 972 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 3.25 | 1.61 | 10.12 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.159 | 0.105 | 0.043 | 0.534 | 0.461 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | B | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 114 | 452 | 173 | 451 | 0 | 292 | -1 |
| N.S. | 1 | 1.00 | 1.06 | 4.19 | 1.60 | 4.18 | 0.00 | 2.70 | -0.01 |
| time (sec) |
N/A | 0.147 | 0.226 | 0.072 | 0.509 | 0.423 | 0.000 | 4.951 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 177 | 149 | 923 | 359 | 593 | 0 | 778 | -1 |
| N.S. | 1 | 1.00 | 0.84 | 5.21 | 2.03 | 3.35 | 0.00 | 4.40 | -0.01 |
| time (sec) |
N/A | 0.224 | 0.257 | 0.086 | 0.526 | 0.542 | 0.000 | 4.860 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 443 | 443 | 297 | 664 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.67 | 1.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.343 | 10.174 | 0.058 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 354 | 354 | 253 | 409 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.71 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.214 | 9.038 | 0.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 286 | 286 | 107 | 164 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.37 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.107 | 8.826 | 0.025 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 343 | 343 | 151 | 345 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.44 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.192 | 9.157 | 0.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 435 | 431 | 314 | 593 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.99 | 0.72 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.290 | 10.631 | 0.052 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 310 | 183 | 1240 | 389 | 675 | 0 | 597 | -1 |
| N.S. | 1 | 1.00 | 0.59 | 4.00 | 1.25 | 2.18 | 0.00 | 1.93 | -0.00 |
| time (sec) |
N/A | 0.344 | 0.346 | 0.120 | 0.516 | 0.476 | 0.000 | 4.070 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 187 | 144 | 783 | 262 | 541 | 0 | 510 | -1 |
| N.S. | 1 | 1.00 | 0.77 | 4.19 | 1.40 | 2.89 | 0.00 | 2.73 | -0.01 |
| time (sec) |
N/A | 0.259 | 0.245 | 0.095 | 0.540 | 0.476 | 0.000 | 4.990 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | B | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 100 | 100 | 114 | 478 | 161 | 395 | 0 | 449 | 61 |
| N.S. | 1 | 1.00 | 1.14 | 4.78 | 1.61 | 3.95 | 0.00 | 4.49 | 0.61 |
| time (sec) |
N/A | 0.049 | 0.169 | 0.272 | 0.526 | 0.396 | 0.000 | 4.839 | 3.930 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | B | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 134 | 134 | 140 | 1014 | 201 | 1477 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.04 | 7.57 | 1.50 | 11.02 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.229 | 0.419 | 0.074 | 0.533 | 0.513 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | A | A | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 146 | 146 | 148 | 1088 | 247 | 599 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.01 | 7.45 | 1.69 | 4.10 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.165 | 0.245 | 0.109 | 0.520 | 0.484 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | B | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 212 | 212 | 192 | 1947 | 450 | 961 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.91 | 9.18 | 2.12 | 4.53 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.313 | 0.354 | 0.142 | 0.546 | 0.774 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 482 | 482 | 296 | 1159 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.61 | 2.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.438 | 10.580 | 0.113 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 409 | 409 | 255 | 667 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.62 | 1.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.285 | 10.391 | 0.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 356 | 356 | 241 | 466 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.68 | 1.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.169 | 10.342 | 0.044 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 410 | 410 | 268 | 686 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.65 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.297 | 10.452 | 0.074 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 490 | 490 | 319 | 1080 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.65 | 2.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.422 | 10.580 | 0.082 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | A | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 75 | 75 | 59 | 48 | 0 | 169 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.79 | 0.64 | 0.00 | 2.25 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.013 | 0.940 | 0.230 | 0.000 | 0.423 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | B | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 50 | 50 | 52 | 40 | 0 | 153 | 0 | 68 | -1 |
| N.S. | 1 | 1.00 | 1.04 | 0.80 | 0.00 | 3.06 | 0.00 | 1.36 | -0.02 |
| time (sec) |
N/A | 0.009 | 0.154 | 0.222 | 0.000 | 0.426 | 0.000 | 4.532 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | B | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 24 | 24 | 34 | 17 | 0 | 98 | 0 | 58 | -1 |
| N.S. | 1 | 1.00 | 1.42 | 0.71 | 0.00 | 4.08 | 0.00 | 2.42 | -0.04 |
| time (sec) |
N/A | 0.006 | 0.133 | 0.200 | 0.000 | 0.409 | 0.000 | 3.666 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | A | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 23 | 18 | 41 | 17 | 0 | 28 | 17 |
| N.S. | 1 | 1.00 | 1.00 | 0.78 | 1.78 | 0.74 | 0.00 | 1.22 | 0.74 |
| time (sec) |
N/A | 0.003 | 0.146 | 0.200 | 0.642 | 0.345 | 0.000 | 3.859 | 2.693 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | F(-2) | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 30 | 25 | 50 | 25 | 0 | 0 | 29 |
| N.S. |
1 | 1.00 | 0.61 | 0.51 | 1.02 | 0.51 | 0.00 | 0.00 | 0.59 |
| time (sec) |
N/A | 0.007 | 0.832 | 0.204 | 0.670 | 0.332 | 0.000 | 0.000 | 2.672 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 37 | 33 | 28 | 26 | 29 | 0 | 29 | -1 |
| N.S. | 1 | 1.00 | 0.89 | 0.76 | 0.70 | 0.78 | 0.00 | 0.78 | -0.03 |
| time (sec) |
N/A | 0.006 | 0.011 | 0.205 | 0.483 | 0.358 | 0.000 | 6.821 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 37 | 33 | 28 | 26 | 29 | 0 | 29 | -1 |
| N.S. | 1 | 1.00 | 0.89 | 0.76 | 0.70 | 0.78 | 0.00 | 0.78 | -0.03 |
| time (sec) |
N/A | 0.010 | 0.004 | 0.200 | 0.859 | 0.327 | 0.000 | 4.337 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 44 | 38 | 40 | 41 | 0 | 42 | -1 |
| N.S. | 1 | 1.00 | 0.62 | 0.54 | 0.56 | 0.58 | 0.00 | 0.59 | -0.01 |
| time (sec) |
N/A | 0.010 | 0.012 | 0.212 | 0.597 | 0.354 | 0.000 | 4.090 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 42 | 37 | 42 | 256 | 0 | 48 | -1 |
| N.S. | 1 | 1.00 | 0.86 | 0.76 | 0.86 | 5.22 | 0.00 | 0.98 | -0.02 |
| time (sec) |
N/A | 0.010 | 0.050 | 0.231 | 0.656 | 0.390 | 0.000 | 3.349 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | B | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 42 | 37 | 42 | 256 | 0 | 48 | -1 |
| N.S. | 1 | 1.00 | 0.86 | 0.76 | 0.86 | 5.22 | 0.00 | 0.98 | -0.02 |
| time (sec) |
N/A | 0.013 | 0.003 | 0.219 | 0.658 | 0.337 | 0.000 | 3.566 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 30 | 44 | 32 | 127 | 0 | 43 | -1 |
| N.S. | 1 | 1.00 | 0.68 | 1.00 | 0.73 | 2.89 | 0.00 | 0.98 | -0.02 |
| time (sec) |
N/A | 0.010 | 0.021 | 0.199 | 0.629 | 0.336 | 0.000 | 3.743 | 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 | 44 | 44 | 42 | 27 | 0 | 42 | 0 | 27 | -1 |
| N.S. | 1 | 1.00 | 0.95 | 0.61 | 0.00 | 0.95 | 0.00 | 0.61 | -0.02 |
| time (sec) |
N/A | 0.005 | 0.030 | 0.201 | 0.000 | 0.332 | 0.000 | 3.617 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 83 | 43 | 76 | 0 | 31 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.52 | 0.92 | 0.00 | 0.37 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.019 | 10.015 | 0.211 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | A | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 22 | 22 | 22 | 19 | 19 | 18 | 17 | 19 | 19 |
| N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.86 | 0.82 | 0.77 | 0.86 | 0.86 |
| time (sec) |
N/A | 0.002 | 0.005 | 0.191 | 0.487 | 0.376 | 0.145 | 3.334 | 2.674 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | C | C | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 131 | 131 | 27 | 81 | 0 | 12 | 36 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.21 | 0.62 | 0.00 | 0.09 | 0.27 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.058 | 10.030 | 0.202 | 0.000 | 0.076 | 0.491 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 54 | 27 | 62 | 0 | 9 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.50 | 1.15 | 0.00 | 0.17 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.014 | 10.023 | 0.197 | 0.000 | 0.085 | 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 | 22 | 22 | 22 | 19 | 0 | 76 | 0 | 30 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.00 | 3.45 | 0.00 | 1.36 | -0.05 |
| time (sec) |
N/A | 0.007 | 0.015 | 0.200 | 0.000 | 0.334 | 0.000 | 3.667 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 159 | 27 | 116 | 0 | 30 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.17 | 0.73 | 0.00 | 0.19 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.040 | 10.014 | 0.205 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 21 | 21 | 21 | 18 | 23 | 30 | 0 | 22 | 18 |
| N.S. | 1 | 1.00 | 1.00 | 0.86 | 1.10 | 1.43 | 0.00 | 1.05 | 0.86 |
| time (sec) |
N/A | 0.003 | 0.025 | 0.239 | 0.482 | 0.328 | 0.000 | 3.554 | 2.870 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 25 | 25 | 25 | 20 | 28 | 19 | 0 | 12 | 20 |
| N.S. | 1 | 1.00 | 1.00 | 0.80 | 1.12 | 0.76 | 0.00 | 0.48 | 0.80 |
| time (sec) |
N/A | 0.003 | 0.010 | 0.197 | 0.516 | 0.341 | 0.000 | 3.269 | 2.912 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 29 | 1521 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.10 | 5.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.175 | 10.023 | 0.428 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 29 | 270 | 0 | 19 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.11 | 1.04 | 0.00 | 0.07 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.049 | 10.018 | 0.283 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | C | F | B | A | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 32 | 321 | 0 | 85 | 14 | 35 | -1 |
| N.S. | 1 | 1.00 | 1.39 | 13.96 | 0.00 | 3.70 | 0.61 | 1.52 | -0.04 |
| time (sec) |
N/A | 0.011 | 0.089 | 0.345 | 0.000 | 0.384 | 0.449 | 4.063 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 116 | 27 | 232 | 0 | 11 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.23 | 2.00 | 0.00 | 0.09 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.054 | 10.017 | 0.369 | 0.000 | 0.075 | 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 | 24 | 24 | 24 | 19 | 0 | 68 | 0 | 31 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.00 | 2.83 | 0.00 | 1.29 | -0.04 |
| time (sec) |
N/A | 0.007 | 0.015 | 0.199 | 0.000 | 0.327 | 0.000 | 3.453 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | C | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 312 | 312 | 27 | 1784 | 0 | 14 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.09 | 5.72 | 0.00 | 0.04 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.194 | 10.008 | 0.393 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 281 | 27 | 353 | 0 | 37 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.10 | 1.26 | 0.00 | 0.13 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.058 | 10.025 | 0.325 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 37 | 37 | 36 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
| time (sec) |
N/A | 0.010 | 0.026 | 0.276 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 48 | 48 | 40 | 35 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.83 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.011 | 0.028 | 0.215 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | F(-2) | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 52 | 52 | 44 | 37 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.85 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.011 | 0.029 | 0.234 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | C | A | A | A | F(-2) | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 34 | 80 | 33 | 30 | 18 | 0 | 0 | 0 | 43 |
| N.S. |
1 | 2.35 | 0.97 | 0.88 | 0.53 | 0.00 | 0.00 | 0.00 | 1.26 |
| time (sec) |
N/A | 0.022 | 0.053 | 0.247 | 0.329 | 0.000 | 0.000 | 0.000 | 2.888 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 114 | 106 | 191 | 0 | 250 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.93 | 1.68 | 0.00 | 2.19 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.039 | 1.913 | 0.226 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 16 | 16 | 16 | 17 | 17 | 20 | 0 | 20 | 16 |
| N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.06 | 1.25 | 0.00 | 1.25 | 1.00 |
| time (sec) |
N/A | 0.004 | 0.002 | 0.029 | 0.286 | 0.340 | 0.000 | 3.701 | 3.400 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 26 | 26 | 27 | 32 | 32 | 0 | 32 | 26 |
| N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.23 | 1.23 | 0.00 | 1.23 | 1.00 |
| time (sec) |
N/A | 0.007 | 0.005 | 0.314 | 0.285 | 0.329 | 0.000 | 4.371 | 2.918 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F(-2) | A | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 36 | 36 | 36 | 37 | 44 | 44 | 0 | 44 | 36 |
| N.S. |
1 | 1.00 | 1.00 | 1.03 | 1.22 | 1.22 | 0.00 | 1.22 | 1.00 |
| time (sec) |
N/A | 0.011 | 0.007 | 24.714 | 0.303 | 0.365 | 0.000 | 4.475 | 3.103 |