Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | A | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 201 | 196 | 0 | 0 | 0 | 1329 | 0 | -1 |
| N.S. | 1 | 0.97 | 0.95 | 0.00 | 0.00 | 0.00 | 6.42 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.135 | 0.291 | 0.020 | 0.000 | 0.000 | 19.070 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | B | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 210 | 202 | 196 | 0 | 0 | 0 | 1329 | 0 | -1 |
| N.S. | 1 | 0.96 | 0.93 | 0.00 | 0.00 | 0.00 | 6.33 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.128 | 0.256 | 0.018 | 0.000 | 0.000 | 12.566 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | A | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 167 | 159 | 228 | 0 | 0 | 0 | 440 | 0 | -1 |
| N.S. | 1 | 0.95 | 1.37 | 0.00 | 0.00 | 0.00 | 2.63 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.101 | 0.283 | 0.018 | 0.000 | 0.000 | 10.253 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | B | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 176 | 169 | 223 | 0 | 0 | 0 | 437 | 0 | -1 |
| N.S. | 1 | 0.96 | 1.27 | 0.00 | 0.00 | 0.00 | 2.48 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.099 | 0.280 | 0.016 | 0.000 | 0.000 | 6.715 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | A | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 171 | 165 | 170 | 0 | 0 | 0 | 144 | 0 | -1 |
| N.S. | 1 | 0.96 | 0.99 | 0.00 | 0.00 | 0.00 | 0.84 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.088 | 0.259 | 0.012 | 0.000 | 0.000 | 7.368 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | A | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 159 | 154 | 0 | 0 | 0 | 143 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.90 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.128 | 0.271 | 0.013 | 0.000 | 0.000 | 5.993 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | C | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 168 | 168 | 174 | 0 | 0 | 0 | 150 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.89 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.148 | 0.279 | 0.017 | 0.000 | 0.000 | 8.799 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 199 | 199 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.150 | 0.569 | 0.027 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 163 | 260 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.098 | 0.338 | 0.023 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 161 | 161 | 227 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.101 | 0.273 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 173 | 173 | 172 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.102 | 0.240 | 0.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 125 | 125 | 131 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.068 | 0.146 | 0.018 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 176 | 176 | 170 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.099 | 0.249 | 0.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 178 | 214 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.111 | 0.387 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 213 | 256 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.159 | 0.345 | 0.023 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 392 | 392 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.578 | 0.710 | 0.026 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 321 | 321 | 343 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.354 | 0.624 | 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 | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 281 | 277 | 300 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 0.99 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.212 | 0.424 | 0.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 273 | 223 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.154 | 0.218 | 0.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 191 | 141 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 0.78 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.124 | 0.218 | 0.022 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 368 | 368 | 303 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.292 | 0.390 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 421 | 421 | 342 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.299 | 0.530 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 449 | 449 | 462 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.615 | 0.926 | 0.037 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 416 | 416 | 436 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.385 | 0.739 | 0.032 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 396 | 396 | 290 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.371 | 0.417 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 336 | 336 | 229 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.267 | 0.314 | 0.026 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 322 | 322 | 142 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.229 | 0.278 | 0.027 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 700 | 700 | 434 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.542 | 0.720 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 754 | 754 | 478 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.585 | 0.778 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | C | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 276 | 254 | 186 | 0 | 0 | 0 | 235 | 0 | -1 |
| N.S. | 1 | 0.92 | 0.67 | 0.00 | 0.00 | 0.00 | 0.85 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.316 | 0.183 | 0.014 | 0.000 | 0.000 | 121.875 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | C | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 205 | 194 | 162 | 0 | 0 | 0 | 172 | 0 | -1 |
| N.S. | 1 | 0.95 | 0.79 | 0.00 | 0.00 | 0.00 | 0.84 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.126 | 0.123 | 0.015 | 0.000 | 0.000 | 78.480 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | C | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 135 | 106 | 0 | 0 | 0 | 109 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.81 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.043 | 0.052 | 0.010 | 0.000 | 0.000 | 40.475 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | C | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 66 | 66 | 64 | 0 | 0 | 0 | 54 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.82 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.012 | 0.022 | 0.022 | 0.000 | 0.000 | 10.691 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 157 | 157 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.091 | 0.106 | 0.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 238 | 238 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.181 | 0.100 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | F | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 321 | 321 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.247 | 0.188 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 345 | 345 | 275 | 955 | 0 | 653 | 0 | 292 | -1 |
| N.S. |
1 | 1.00 | 0.80 | 2.77 | 0.00 | 1.89 | 0.00 | 0.85 | -0.00 |
| time (sec) |
N/A | 0.311 | 1.113 | 0.102 | 0.000 | 3.753 | 0.000 | 2.476 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 251 | 251 | 218 | 512 | 0 | 517 | 0 | 217 | -1 |
| N.S. |
1 | 1.00 | 0.87 | 2.04 | 0.00 | 2.06 | 0.00 | 0.86 | -0.00 |
| time (sec) |
N/A | 0.170 | 0.780 | 0.084 | 0.000 | 3.246 | 0.000 | 1.397 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 207 | 161 | 291 | 0 | 409 | 0 | 160 | -1 |
| N.S. |
1 | 1.00 | 0.78 | 1.41 | 0.00 | 1.98 | 0.00 | 0.77 | -0.00 |
| time (sec) |
N/A | 0.126 | 0.494 | 0.079 | 0.000 | 3.033 | 0.000 | 1.264 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 131 | 131 | 107 | 131 | 0 | 334 | 0 | 128 | -1 |
| N.S. |
1 | 1.00 | 0.82 | 1.00 | 0.00 | 2.55 | 0.00 | 0.98 | -0.01 |
| time (sec) |
N/A | 0.041 | 0.129 | 0.103 | 0.000 | 1.386 | 0.000 | 2.285 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 168 | 168 | 167 | 308 | 0 | 935 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.99 | 1.83 | 0.00 | 5.57 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.107 | 0.369 | 0.074 | 0.000 | 2.536 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 137 | 137 | 141 | 708 | 0 | 356 | 0 | 229 | -1 |
| N.S. | 1 | 1.00 | 1.03 | 5.17 | 0.00 | 2.60 | 0.00 | 1.67 | -0.01 |
| time (sec) |
N/A | 0.095 | 0.659 | 0.105 | 0.000 | 2.615 | 0.000 | 1.151 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 202 | 198 | 1353 | 0 | 445 | 0 | 517 | -1 |
| N.S. | 1 | 1.00 | 0.98 | 6.70 | 0.00 | 2.20 | 0.00 | 2.56 | -0.00 |
| time (sec) |
N/A | 0.170 | 1.429 | 0.086 | 0.000 | 2.370 | 0.000 | 1.269 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 286 | 286 | 210 | 2059 | 0 | 565 | 0 | 925 | -1 |
| N.S. |
1 | 1.00 | 0.73 | 7.20 | 0.00 | 1.98 | 0.00 | 3.23 | -0.00 |
| time (sec) |
N/A | 0.252 | 10.195 | 0.070 | 0.000 | 6.443 | 0.000 | 1.490 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 389 | 389 | 273 | 3471 | 0 | 719 | 0 | 1501 | -1 |
| N.S. |
1 | 1.00 | 0.70 | 8.92 | 0.00 | 1.85 | 0.00 | 3.86 | -0.00 |
| time (sec) |
N/A | 0.376 | 10.274 | 0.102 | 0.000 | 13.762 | 0.000 | 1.768 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F(-1) | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 449 | 449 | 385 | 1426 | 0 | 1013 | 0 | 486 | -1 |
| N.S. |
1 | 1.00 | 0.86 | 3.18 | 0.00 | 2.26 | 0.00 | 1.08 | -0.00 |
| time (sec) |
N/A | 0.355 | 1.328 | 0.086 | 0.000 | 3.356 | 0.000 | 2.749 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F(-1) | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 352 | 352 | 303 | 797 | 0 | 821 | 0 | 386 | -1 |
| N.S. |
1 | 1.00 | 0.86 | 2.26 | 0.00 | 2.33 | 0.00 | 1.10 | -0.00 |
| time (sec) |
N/A | 0.208 | 0.768 | 0.085 | 0.000 | 2.898 | 0.000 | 1.957 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 295 | 295 | 236 | 483 | 0 | 653 | 0 | 298 | -1 |
| N.S. |
1 | 1.00 | 0.80 | 1.64 | 0.00 | 2.21 | 0.00 | 1.01 | -0.00 |
| time (sec) |
N/A | 0.172 | 0.551 | 0.076 | 0.000 | 2.582 | 0.000 | 2.503 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 201 | 201 | 180 | 230 | 451 | 511 | 0 | 223 | -1 |
| N.S. | 1 | 1.00 | 0.90 | 1.14 | 2.24 | 2.54 | 0.00 | 1.11 | -0.00 |
| time (sec) |
N/A | 0.074 | 0.139 | 0.087 | 0.301 | 2.706 | 0.000 | 2.458 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 251 | 251 | 232 | 607 | 0 | 1303 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.92 | 2.42 | 0.00 | 5.19 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.172 | 0.552 | 0.084 | 0.000 | 8.886 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 240 | 240 | 213 | 1300 | 0 | 1212 | 0 | 373 | -1 |
| N.S. | 1 | 1.00 | 0.89 | 5.42 | 0.00 | 5.05 | 0.00 | 1.55 | -0.00 |
| time (sec) |
N/A | 0.175 | 0.428 | 0.082 | 0.000 | 3.681 | 0.000 | 1.371 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 256 | 256 | 243 | 2438 | 0 | 1379 | 0 | 647 | -1 |
| N.S. |
1 | 1.00 | 0.95 | 9.52 | 0.00 | 5.39 | 0.00 | 2.53 | -0.00 |
| time (sec) |
N/A | 0.178 | 0.570 | 0.092 | 0.000 | 5.264 | 0.000 | 1.809 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 211 | 201 | 4330 | 0 | 565 | 0 | 1022 | -1 |
| N.S. |
1 | 1.00 | 0.95 | 20.52 | 0.00 | 2.68 | 0.00 | 4.84 | -0.00 |
| time (sec) |
N/A | 0.151 | 0.366 | 0.082 | 0.000 | 2.852 | 0.000 | 1.402 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 295 | 295 | 247 | 7421 | 0 | 721 | 0 | 1640 | -1 |
| N.S. |
1 | 1.00 | 0.84 | 25.16 | 0.00 | 2.44 | 0.00 | 5.56 | -0.00 |
| time (sec) |
N/A | 0.236 | 0.573 | 0.083 | 0.000 | 12.106 | 0.000 | 1.748 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 395 | 395 | 317 | 10575 | 0 | 907 | 0 | 2381 | -1 |
| N.S. |
1 | 1.00 | 0.80 | 26.77 | 0.00 | 2.30 | 0.00 | 6.03 | -0.00 |
| time (sec) |
N/A | 0.319 | 0.839 | 0.084 | 0.000 | 27.835 | 0.000 | 1.518 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 498 | 498 | 402 | 16883 | 0 | 1117 | 0 | 3289 | -1 |
| N.S. |
1 | 1.00 | 0.81 | 33.90 | 0.00 | 2.24 | 0.00 | 6.60 | -0.00 |
| time (sec) |
N/A | 0.446 | 1.166 | 0.088 | 0.000 | 90.620 | 0.000 | 3.618 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F(-1) | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 574 | 574 | 549 | 1895 | 0 | 1485 | 0 | 738 | -1 |
| N.S. |
1 | 1.00 | 0.96 | 3.30 | 0.00 | 2.59 | 0.00 | 1.29 | -0.00 |
| time (sec) |
N/A | 0.432 | 1.493 | 0.069 | 0.000 | 2.231 | 0.000 | 3.207 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F(-1) | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 452 | 452 | 479 | 1080 | 0 | 1235 | 0 | 612 | -1 |
| N.S. |
1 | 1.00 | 1.06 | 2.39 | 0.00 | 2.73 | 0.00 | 1.35 | -0.00 |
| time (sec) |
N/A | 0.268 | 1.243 | 0.075 | 0.000 | 2.365 | 0.000 | 1.135 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | A | F(-1) | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 381 | 381 | 388 | 673 | 0 | 1015 | 0 | 499 | -1 |
| N.S. |
1 | 1.00 | 1.02 | 1.77 | 0.00 | 2.66 | 0.00 | 1.31 | -0.00 |
| time (sec) |
N/A | 0.234 | 0.947 | 0.075 | 0.000 | 2.676 | 0.000 | 2.123 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | A | F(-1) | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 274 | 274 | 267 | 327 | 896 | 815 | 0 | 396 | -1 |
| N.S. |
1 | 1.00 | 0.97 | 1.19 | 3.27 | 2.97 | 0.00 | 1.45 | -0.00 |
| time (sec) |
N/A | 0.109 | 0.327 | 0.089 | 0.354 | 2.761 | 0.000 | 1.750 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 394 | 394 | 342 | 997 | 0 | 1817 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.87 | 2.53 | 0.00 | 4.61 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.284 | 1.025 | 0.076 | 0.000 | 54.807 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 352 | 352 | 309 | 2076 | 0 | 1697 | 0 | 504 | -1 |
| N.S. |
1 | 1.00 | 0.88 | 5.90 | 0.00 | 4.82 | 0.00 | 1.43 | -0.00 |
| time (sec) |
N/A | 0.270 | 1.035 | 0.089 | 0.000 | 19.068 | 0.000 | 2.115 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 339 | 339 | 287 | 3893 | 0 | 1581 | 0 | 785 | -1 |
| N.S. |
1 | 1.00 | 0.85 | 11.48 | 0.00 | 4.66 | 0.00 | 2.32 | -0.00 |
| time (sec) |
N/A | 0.250 | 0.925 | 0.089 | 0.000 | 8.841 | 0.000 | 1.777 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 371 | 371 | 316 | 6850 | 0 | 1765 | 0 | 1237 | -1 |
| N.S. |
1 | 1.00 | 0.85 | 18.46 | 0.00 | 4.76 | 0.00 | 3.33 | -0.00 |
| time (sec) |
N/A | 0.290 | 1.062 | 0.070 | 0.000 | 10.655 | 0.000 | 1.559 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 404 | 404 | 358 | 11685 | 0 | 1945 | 0 | 1783 | -1 |
| N.S. |
1 | 1.00 | 0.89 | 28.92 | 0.00 | 4.81 | 0.00 | 4.41 | -0.00 |
| time (sec) |
N/A | 0.292 | 1.107 | 0.085 | 0.000 | 26.424 | 0.000 | 1.598 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 289 | 289 | 271 | 19539 | 0 | 901 | 0 | 2480 | -1 |
| N.S. |
1 | 1.00 | 0.94 | 67.61 | 0.00 | 3.12 | 0.00 | 8.58 | -0.00 |
| time (sec) |
N/A | 0.214 | 0.725 | 0.084 | 0.000 | 21.728 | 0.000 | 1.551 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 386 | 386 | 404 | 32291 | 0 | 1115 | 0 | 3430 | -1 |
| N.S. |
1 | 1.00 | 1.05 | 83.66 | 0.00 | 2.89 | 0.00 | 8.89 | -0.00 |
| time (sec) |
N/A | 0.322 | 0.972 | 0.072 | 0.000 | 85.937 | 0.000 | 1.905 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | A | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 500 | 500 | 497 | 45106 | 0 | 1355 | 0 | 4505 | -1 |
| N.S. |
1 | 1.00 | 0.99 | 90.21 | 0.00 | 2.71 | 0.00 | 9.01 | -0.00 |
| time (sec) |
N/A | 0.411 | 1.298 | 0.081 | 0.000 | 176.659 | 0.000 | 1.814 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | F(-1) | F(-1) | B | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 628 | 628 | 572 | 70736 | 0 | 0 | 0 | 5747 | -1 |
| N.S. |
1 | 1.00 | 0.91 | 112.64 | 0.00 | 0.00 | 0.00 | 9.15 | -0.00 |
| time (sec) |
N/A | 0.568 | 1.674 | 0.079 | 0.000 | 0.000 | 0.000 | 2.246 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 298 | 277 | 514 | 0 | 729 | 0 | 249 | -1 |
| N.S. |
1 | 1.10 | 1.02 | 1.90 | 0.00 | 2.69 | 0.00 | 0.92 | -0.00 |
| time (sec) |
N/A | 0.219 | 0.475 | 0.086 | 0.000 | 3.700 | 0.000 | 1.166 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | A | F | A | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 195 | 195 | 201 | 259 | 0 | 563 | 0 | 202 | -1 |
| N.S. |
1 | 1.00 | 1.03 | 1.33 | 0.00 | 2.89 | 0.00 | 1.04 | -0.01 |
| time (sec) |
N/A | 0.222 | 0.290 | 0.092 | 0.000 | 4.029 | 0.000 | 1.731 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 139 | 130 | 131 | 0 | 430 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.94 | 0.94 | 0.00 | 3.09 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.072 | 0.198 | 0.092 | 0.000 | 4.101 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | A | F | F(-2) | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 52 | 52 | 42 | 65 | 0 | 57 | 0 | 0 | 50 |
| N.S. |
1 | 1.00 | 0.81 | 1.25 | 0.00 | 1.10 | 0.00 | 0.00 | 0.96 |
| time (sec) |
N/A | 0.015 | 0.011 | 0.079 | 0.000 | 3.914 | 0.000 | 0.000 | 2.645 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 143 | 143 | 131 | 136 | 0 | 443 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.92 | 0.95 | 0.00 | 3.10 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.122 | 0.191 | 0.088 | 0.000 | 4.978 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 229 | 229 | 201 | 270 | 0 | 599 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.88 | 1.18 | 0.00 | 2.62 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.192 | 0.269 | 0.089 | 0.000 | 9.244 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | A | F | F(-2) | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 329 | 329 | 283 | 545 | 0 | 799 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.86 | 1.66 | 0.00 | 2.43 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.327 | 0.454 | 0.078 | 0.000 | 8.394 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 515 | 515 | 388 | 1923 | 0 | 2161 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.75 | 3.73 | 0.00 | 4.20 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.406 | 0.829 | 0.106 | 0.000 | 16.737 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 438 | 438 | 300 | 1112 | 0 | 1817 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.68 | 2.54 | 0.00 | 4.15 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.364 | 0.550 | 0.087 | 0.000 | 7.732 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 218 | 639 | 0 | 1471 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.73 | 2.15 | 0.00 | 4.95 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.193 | 0.337 | 0.083 | 0.000 | 6.314 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 126 | 126 | 95 | 365 | 0 | 313 | 0 | 0 | 1071 |
| N.S. |
1 | 1.00 | 0.75 | 2.90 | 0.00 | 2.48 | 0.00 | 0.00 | 8.50 |
| time (sec) |
N/A | 0.072 | 0.145 | 0.097 | 0.000 | 6.505 | 0.000 | 0.000 | 3.603 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | B | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 138 | 100 | 226 | 0 | 318 | 0 | 0 | 499 |
| N.S. |
1 | 1.00 | 0.72 | 1.64 | 0.00 | 2.30 | 0.00 | 0.00 | 3.62 |
| time (sec) |
N/A | 0.063 | 0.133 | 0.095 | 0.000 | 7.417 | 0.000 | 0.000 | 3.319 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F(-2) | B | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 121 | 97 | 146 | 0 | 308 | 0 | 0 | 120 |
| N.S. |
1 | 1.00 | 0.80 | 1.21 | 0.00 | 2.55 | 0.00 | 0.00 | 0.99 |
| time (sec) |
N/A | 0.028 | 0.020 | 0.093 | 0.000 | 8.471 | 0.000 | 0.000 | 2.885 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 271 | 271 | 217 | 360 | 0 | 1483 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.80 | 1.33 | 0.00 | 5.47 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.218 | 0.346 | 0.088 | 0.000 | 8.951 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 394 | 394 | 303 | 716 | 0 | 1889 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.77 | 1.82 | 0.00 | 4.79 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.359 | 0.549 | 0.096 | 0.000 | 32.922 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 522 | 522 | 390 | 1354 | 0 | 2291 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.75 | 2.59 | 0.00 | 4.39 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.502 | 0.795 | 0.079 | 0.000 | 73.547 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | B | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 664 | 664 | 493 | 2409 | 0 | 2695 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.74 | 3.63 | 0.00 | 4.06 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.714 | 1.019 | 0.102 | 0.000 | 156.131 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-1) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 259 | 259 | 235 | 621 | 0 | 841 | 0 | 0 | 3099 |
| N.S. |
1 | 1.00 | 0.91 | 2.40 | 0.00 | 3.25 | 0.00 | 0.00 | 11.97 |
| time (sec) |
N/A | 0.150 | 0.221 | 0.090 | 0.000 | 53.611 | 0.000 | 0.000 | 4.327 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F(-2) | B | F(-1) | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 341 | 341 | 440 | 933 | 0 | 1540 | 0 | 0 | 2500 |
| N.S. |
1 | 1.00 | 1.29 | 2.74 | 0.00 | 4.52 | 0.00 | 0.00 | 7.33 |
| time (sec) |
N/A | 0.182 | 0.344 | 0.092 | 0.000 | 99.678 | 0.000 | 0.000 | 7.725 |
| 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 | 170 | 170 | 221 | 257 | 0 | 33 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.30 | 1.51 | 0.00 | 0.19 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.044 | 40.632 | 0.239 | 0.000 | 0.546 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 23 | 23 | 22 | 22 | 0 | 67 | 22 |
| N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.96 | 0.96 | 0.00 | 2.91 | 0.96 |
| time (sec) |
N/A | 0.012 | 10.036 | 0.102 | 0.855 | 3.112 | 0.000 | 0.991 | 2.620 |
| 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 | 294 | 294 | 347 | 361 | 0 | 30 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.18 | 1.23 | 0.00 | 0.10 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.068 | 20.340 | 0.125 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 144 | 169 | 252 | 0 | 25 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.17 | 1.75 | 0.00 | 0.17 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.024 | 17.020 | 0.107 | 0.000 | 0.750 | 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 | 66 | 66 | 48 | 43 | 0 | 60 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.73 | 0.65 | 0.00 | 0.91 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.021 | 15.328 | 0.109 | 0.000 | 2.007 | 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 | 287 | 287 | 349 | 363 | 0 | 32 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.22 | 1.26 | 0.00 | 0.11 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.064 | 10.260 | 0.115 | 0.000 | 0.612 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 146 | 146 | 185 | 259 | 0 | 32 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.27 | 1.77 | 0.00 | 0.22 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.031 | 20.299 | 0.115 | 0.000 | 0.401 | 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 | 201 | 201 | 235 | 262 | 0 | 38 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.17 | 1.30 | 0.00 | 0.19 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.050 | 30.590 | 0.108 | 0.000 | 0.499 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F | B | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 23 | 28 | 27 | 27 | 0 | 173 | 25 |
| N.S. | 1 | 1.00 | 1.00 | 1.22 | 1.17 | 1.17 | 0.00 | 7.52 | 1.09 |
| time (sec) |
N/A | 0.013 | 10.045 | 0.112 | 0.503 | 2.170 | 0.000 | 1.115 | 0.117 |
| 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 | 325 | 325 | 244 | 366 | 0 | 38 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.75 | 1.13 | 0.00 | 0.12 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.074 | 10.334 | 0.102 | 0.000 | 0.363 | 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 | 173 | 173 | 176 | 257 | 0 | 33 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.02 | 1.49 | 0.00 | 0.19 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.050 | 20.440 | 0.112 | 0.000 | 0.441 | 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 | 94 | 94 | 53 | 57 | 0 | 65 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.56 | 0.61 | 0.00 | 0.69 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.059 | 10.053 | 0.095 | 0.000 | 2.685 | 0.000 | 0.000 | 0.000 |