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 | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 247 | 243 | 168 | 898 | 0 | 289 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.68 | 3.64 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.571 | 1.971 | 50.839 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 213 | 146 | 880 | 0 | 264 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.70 | 4.21 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.354 | 2.534 | 41.953 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 208 | 207 | 130 | 777 | 0 | 242 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.62 | 3.74 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.320 | 1.637 | 30.844 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 211 | 138 | 432 | 0 | 215 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.67 | 2.09 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.346 | 1.229 | 29.949 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 219 | 142 | 476 | 0 | 234 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.67 | 2.26 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.336 | 1.501 | 30.487 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 245 | 168 | 529 | 0 | 257 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.69 | 2.16 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.570 | 1.957 | 36.139 | 0.000 | 0.124 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 289 | 275 | 199 | 586 | 0 | 286 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.69 | 2.03 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.784 | 2.471 | 46.602 | 0.000 | 0.135 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 201 | 165 | 423 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.88 | 2.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.559 | 35.466 | 19.590 | 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 | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 116 | 83 | 353 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.71 | 3.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.765 | 15.424 | 12.997 | 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 | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 63 | 150 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.29 | 3.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.314 | 0.308 | 3.608 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 93 | 74 | 47 | 187 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.80 | 0.51 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.484 | 0.379 | 4.901 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 135 | 176 | 226 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.30 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.880 | 18.308 | 7.366 | 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 | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 172 | 178 | 194 | 552 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.13 | 3.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.210 | 21.444 | 7.533 | 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 | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 342 | 325 | 294 | 975 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.86 | 2.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.495 | 5.101 | 120.415 | 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 | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 279 | 266 | 351 | 841 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 1.26 | 3.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.923 | 3.963 | 111.122 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 212 | 582 | 608 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 2.72 | 2.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.373 | 6.480 | 104.881 | 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 | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 208 | 202 | 289 | 707 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 1.39 | 3.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.276 | 6.020 | 11.980 | 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 | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 227 | 216 | 251 | 788 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 1.11 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.392 | 3.047 | 14.594 | 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 | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 232 | 319 | 809 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 1.31 | 3.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.450 | 4.611 | 14.766 | 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 | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 304 | 289 | 279 | 1064 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.92 | 3.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.062 | 5.514 | 16.943 | 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 | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 388 | 382 | 721 | 1987 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.86 | 5.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.795 | 6.639 | 488.591 | 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 | F(-1) | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 318 | 335 | 1203 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.06 | 3.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.092 | 5.637 | 195.450 | 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 | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 310 | 428 | 1760 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 1.37 | 5.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.091 | 6.264 | 372.302 | 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 | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 306 | 307 | 429 | 1858 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.40 | 6.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.009 | 5.710 | 26.056 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F(-1) | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 323 | 321 | 286 | 1936 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.89 | 5.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.094 | 4.798 | 28.157 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 342 | 342 | 707 | 1957 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.07 | 5.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.279 | 6.668 | 29.913 | 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 | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 406 | 403 | 731 | 2216 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 1.80 | 5.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.913 | 6.860 | 31.010 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 237 | 254 | 321 | 1009 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 1.35 | 4.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.312 | 25.121 | 7.579 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 138 | 96 | 251 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.70 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.114 | 13.103 | 6.455 | 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 | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 67 | 869 | 0 | 355 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 12.97 | 0.00 | 5.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.394 | 0.244 | 3.373 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 192 | 193 | 156 | 1291 | 0 | 415 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.81 | 6.72 | 0.00 | 2.16 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.370 | 0.626 | 5.280 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 253 | 203 | 2288 | 0 | 461 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.83 | 9.38 | 0.00 | 1.89 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.844 | 0.907 | 6.523 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 305 | 322 | 237 | 2764 | 0 | 501 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.78 | 9.06 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.432 | 1.192 | 7.639 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 308 | 411 | 2317 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.37 | 7.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.154 | 4.772 | 9.780 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 255 | 394 | 1585 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.58 | 6.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.512 | 14.332 | 8.887 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 209 | 129 | 1163 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.62 | 5.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.007 | 27.264 | 7.580 | 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 | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 188 | 156 | 1570 | 0 | 415 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.83 | 8.40 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.418 | 0.671 | 5.296 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 240 | 238 | 197 | 2282 | 0 | 463 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.82 | 9.51 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.831 | 1.031 | 6.448 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 311 | 237 | 2766 | 0 | 501 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.78 | 9.13 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.427 | 1.431 | 7.747 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 369 | 390 | 602 | 3037 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 1.63 | 8.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.075 | 6.593 | 12.219 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 314 | 324 | 560 | 2602 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.78 | 8.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.448 | 6.531 | 10.878 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 263 | 270 | 421 | 2463 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.60 | 9.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.662 | 5.973 | 9.713 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 262 | 263 | 409 | 2190 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.56 | 8.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.664 | 4.272 | 8.458 | 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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 239 | 250 | 200 | 2567 | 0 | 462 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.84 | 10.74 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.989 | 1.157 | 6.502 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 303 | 312 | 237 | 2766 | 0 | 501 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.78 | 9.13 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.540 | 1.618 | 7.767 | 0.000 | 0.133 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 363 | 378 | 286 | 3822 | 0 | 541 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.79 | 10.53 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.302 | 2.213 | 8.942 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 312 | 312 | 397 | 2331 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.27 | 7.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.072 | 4.633 | 11.009 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 259 | 329 | 1299 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.34 | 5.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.283 | 15.639 | 8.688 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 68 | 68 | 68 | 205 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 3.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.497 | 0.305 | 6.311 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 67 | 141 | 0 | 146 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 2.10 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.410 | 0.182 | 5.253 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 142 | 142 | 96 | 739 | 0 | 355 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.68 | 5.20 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.041 | 3.310 | 6.533 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 195 | 199 | 147 | 1298 | 0 | 415 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.75 | 6.66 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.428 | 0.696 | 7.632 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 261 | 193 | 2289 | 0 | 464 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.78 | 9.19 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.952 | 0.808 | 8.750 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 360 | 478 | 2300 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 1.39 | 6.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.527 | 3.168 | 9.750 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 206 | 214 | 434 | 1019 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 2.11 | 4.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.655 | 4.826 | 7.572 | 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 | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 126 | 126 | 103 | 587 | 0 | 488 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.82 | 4.66 | 0.00 | 3.87 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.640 | 0.352 | 3.242 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 211 | 156 | 593 | 0 | 525 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.78 | 2.96 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.458 | 0.647 | 6.545 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 214 | 228 | 165 | 925 | 0 | 565 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.77 | 4.32 | 0.00 | 2.64 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.567 | 0.727 | 7.877 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 289 | 295 | 203 | 1679 | 0 | 632 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.70 | 5.81 | 0.00 | 2.19 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.162 | 0.954 | 9.093 | 0.000 | 0.141 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 360 | 359 | 250 | 2387 | 0 | 692 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.69 | 6.63 | 0.00 | 1.92 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.766 | 1.373 | 10.073 | 0.000 | 0.159 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 458 | 471 | 561 | 5987 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 1.22 | 13.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 4.740 | 5.775 | 11.477 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 370 | 390 | 487 | 4415 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 1.32 | 11.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.883 | 4.169 | 8.971 | 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 | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 277 | 295 | 169 | 1999 | 0 | 688 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.61 | 7.22 | 0.00 | 2.48 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.137 | 0.901 | 5.798 | 0.000 | 0.138 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 288 | 178 | 2312 | 0 | 759 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.63 | 8.23 | 0.00 | 2.70 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.001 | 1.000 | 5.318 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 302 | 314 | 196 | 2885 | 0 | 811 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.65 | 9.55 | 0.00 | 2.69 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.153 | 1.149 | 7.602 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 317 | 332 | 208 | 4120 | 0 | 863 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.66 | 13.00 | 0.00 | 2.72 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.330 | 1.319 | 8.935 | 0.000 | 0.157 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 391 | 399 | 257 | 4449 | 0 | 949 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.66 | 11.38 | 0.00 | 2.43 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 2.920 | 1.724 | 9.959 | 0.000 | 0.176 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 474 | 479 | 292 | 5656 | 0 | 1036 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.62 | 11.93 | 0.00 | 2.19 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 3.782 | 1.875 | 11.089 | 0.000 | 0.209 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 122 | 122 | 78 | 338 | 0 | 95 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.64 | 2.77 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.687 | 0.330 | 7.101 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 109 | 68 | 326 | 0 | 92 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.62 | 2.99 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.676 | 0.286 | 7.477 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 68 | 343 | 0 | 95 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.63 | 3.18 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.898 | 0.182 | 7.291 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 123 | 123 | 78 | 329 | 0 | 87 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.63 | 2.67 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.934 | 0.183 | 7.489 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 127 | 127 | 81 | 339 | 0 | 108 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.64 | 2.67 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.688 | 0.320 | 7.478 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 113 | 113 | 72 | 339 | 0 | 108 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.64 | 3.00 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.709 | 0.301 | 7.721 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 129 | 129 | 72 | 332 | 0 | 108 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.56 | 2.57 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.695 | 0.174 | 7.570 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 115 | 81 | 332 | 0 | 108 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.70 | 2.89 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.708 | 0.197 | 7.530 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 61 | 123 | 0 | 47 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 2.02 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.302 | 0.208 | 4.795 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 54 | 54 | 115 | 0 | 44 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 2.13 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.296 | 0.179 | 5.719 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 54 | 54 | 123 | 0 | 47 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 2.28 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.357 | 0.131 | 5.524 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 61 | 119 | 0 | 44 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 1.95 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.371 | 0.146 | 5.561 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 61 | 124 | 0 | 54 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 2.03 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.293 | 0.175 | 6.109 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 54 | 54 | 117 | 0 | 54 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 2.17 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.306 | 0.190 | 5.527 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 62 | 62 | 54 | 114 | 0 | 52 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.87 | 1.84 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.293 | 0.116 | 5.659 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 55 | 55 | 61 | 120 | 0 | 52 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 2.18 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.300 | 0.138 | 5.828 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
| 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 | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 7160 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 68.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.312 | 49.643 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 14 | 14 | 16 | 12 | 14 | 0 | 14 | 14 | 16 |
| N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.00 | 1.00 | 1.14 |
| time (sec) |
N/A | 0.183 | 18.049 | 0.371 | 0.578 | 0.000 | 0.486 | 0.421 | 13.707 |
| 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 | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 362 | 376 | 21877 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 60.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.337 | 46.266 | 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 | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 305 | 311 | 7783 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 25.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.926 | 45.196 | 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 | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 10909 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 41.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.658 | 42.666 | 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 | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 7142 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 68.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.269 | 45.818 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 14 | 14 | 16 | 12 | 14 | 0 | 14 | 14 | 16 |
| N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.00 | 1.00 | 1.14 |
| time (sec) |
N/A | 0.181 | 18.727 | 0.307 | 0.537 | 0.000 | 0.809 | 0.445 | 14.183 |
| 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 | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 7313 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 67.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.283 | 48.677 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 14 | 14 | 16 | 12 | 14 | 0 | 14 | 14 | 16 |
| N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.00 | 1.00 | 1.14 |
| time (sec) |
N/A | 0.179 | 100.647 | 0.310 | 0.542 | 0.000 | 13.307 | 1.143 | 15.299 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 412 | 428 | 28057 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 68.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.640 | 45.803 | 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 | B | F | F | F | F(-1) | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 356 | 364 | 21890 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 61.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.231 | 46.600 | 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 | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 304 | 7809 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 26.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.919 | 45.016 | 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 | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 7321 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 67.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.272 | 44.955 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A | N/A |
| verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 14 | 14 | 16 | 12 | 14 | 0 | 14 | 14 | 16 |
| N.S. |
1 | 1.00 | 1.14 | 0.86 | 1.00 | 0.00 | 1.00 | 1.00 | 1.14 |
| time (sec) |
N/A | 0.182 | 101.674 | 0.338 | 0.536 | 0.000 | 42.660 | 1.554 | 14.670 |
| 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 | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 324 | 19015 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 60.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.996 | 45.824 | 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 | B | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 265 | 268 | 7195 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 27.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.710 | 44.261 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |