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 | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 2951 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 40.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.049 | 6.234 | 0.073 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 3003 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 41.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.051 | 6.253 | 0.070 | 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 | 117 | 117 | 85 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.089 | 0.400 | 0.085 | 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 | 64 | 64 | 67 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.036 | 0.053 | 0.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 2951 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 40.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.046 | 6.207 | 0.073 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 3003 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 41.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.051 | 6.238 | 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 | F | F | F | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 177 | 177 | 435 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.204 | 11.152 | 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 | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 86 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.097 | 0.437 | 0.078 | 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 | 48 | 48 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.044 | 0.100 | 0.087 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 2964 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 48.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.092 | 6.244 | 0.081 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 2992 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 44.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.102 | 6.266 | 0.076 | 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 | 130 | 130 | 88 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.112 | 0.384 | 0.078 | 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 | 70 | 70 | 71 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.051 | 0.133 | 0.082 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 75 | 75 | 2977 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 39.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.093 | 6.220 | 0.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 78 | 78 | 3005 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 38.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.102 | 6.217 | 0.072 | 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 | 130 | 130 | 88 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.114 | 0.368 | 0.079 | 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 | 70 | 70 | 71 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.052 | 0.132 | 0.080 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 75 | 75 | 2977 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 39.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.100 | 6.213 | 0.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 78 | 78 | 3005 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 38.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.109 | 6.208 | 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 | F | F | F | F(-2) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 178 | 458 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.246 | 26.256 | 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 | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 377 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.111 | 15.700 | 0.088 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 47 | 47 | 236 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 5.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.049 | 74.199 | 0.095 | 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 | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 58 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.106 | 1.363 | 0.089 | 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 | F(-2) | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 64 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.115 | 74.986 | 0.082 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 130 | 363 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.112 | 5.021 | 0.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 69 | 69 | 222 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.051 | 0.515 | 0.081 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 130 | 130 | 377 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.121 | 2.389 | 0.085 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 69 | 69 | 236 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.055 | 0.592 | 0.084 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 72 | 2246 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 31.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.045 | 14.412 | 0.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 89 | 255 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.050 | 2.528 | 0.085 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 88 | 88 | 2248 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 25.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.072 | 6.266 | 0.083 | 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 | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 90 | 90 | 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 | 0.081 | 1.103 | 0.087 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 85 | 85 | 2248 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 26.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.044 | 6.218 | 0.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 70 | 70 | 257 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.044 | 0.539 | 0.080 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 87 | 2250 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 25.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.081 | 6.266 | 0.080 | 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 | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 87 | 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 | 0.082 | 0.321 | 0.102 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 79 | 2248 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 28.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.044 | 6.213 | 0.077 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 79 | 257 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.044 | 0.544 | 0.082 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 2250 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 23.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.078 | 6.246 | 0.081 | 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 | F | F |
| verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 96 | 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 | 0.085 | 0.328 | 0.092 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 211 | 154 | 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 | 0.253 | 1.388 | 0.083 | 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 | 155 | 155 | 123 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.142 | 0.669 | 0.066 | 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 | 107 | 107 | 95 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.078 | 0.224 | 0.057 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | F | F | F | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 73 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.043 | 0.109 | 0.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 83 | 711 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 8.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.044 | 6.791 | 0.073 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 84 | 3781 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 45.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.067 | 17.033 | 0.095 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 98 | 2529 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 25.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.094 | 15.583 | 0.099 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | B | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 96 | 2225 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 23.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.082 | 15.001 | 0.102 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 96 | 2424 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 25.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.084 | 16.370 | 0.102 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | F | F | F | F | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 98 | 3349 | 0 | 0 | 0 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 34.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.099 | 19.869 | 0.095 | 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(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 111 | 490 | 270 | 0 | 148 | 0 | 0 | 87 |
| N.S. |
1 | 1.00 | 4.41 | 2.43 | 0.00 | 1.33 | 0.00 | 0.00 | 0.78 |
| time (sec) |
N/A | 0.071 | 6.096 | 0.095 | 0.000 | 1.037 | 0.000 | 0.000 | 1.178 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 87 | 232 | 219 | 0 | 137 | 0 | 0 | 80 |
| N.S. |
1 | 1.00 | 2.67 | 2.52 | 0.00 | 1.57 | 0.00 | 0.00 | 0.92 |
| time (sec) |
N/A | 0.063 | 5.592 | 0.079 | 0.000 | 0.812 | 0.000 | 0.000 | 0.783 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 222 | 225 | 0 | 125 | 0 | 0 | 53 |
| N.S. |
1 | 1.00 | 3.64 | 3.69 | 0.00 | 2.05 | 0.00 | 0.00 | 0.87 |
| time (sec) |
N/A | 0.052 | 5.153 | 0.077 | 0.000 | 0.721 | 0.000 | 0.000 | 0.763 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 35 | 155 | 150 | 0 | 107 | 0 | 0 | 27 |
| N.S. | 1 | 1.00 | 4.43 | 4.29 | 0.00 | 3.06 | 0.00 | 0.00 | 0.77 |
| time (sec) |
N/A | 0.042 | 1.821 | 0.102 | 0.000 | 0.746 | 0.000 | 0.000 | 0.196 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 209 | 148 | 0 | 156 | 0 | 0 | 60 |
| N.S. | 1 | 1.00 | 3.67 | 2.60 | 0.00 | 2.74 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.053 | 5.035 | 0.078 | 0.000 | 0.971 | 0.000 | 0.000 | 1.032 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 83 | 444 | 368 | 0 | 175 | 0 | 0 | 87 |
| N.S. | 1 | 1.00 | 5.35 | 4.43 | 0.00 | 2.11 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.060 | 6.131 | 0.101 | 0.000 | 1.180 | 0.000 | 0.000 | 1.171 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 111 | 477 | 384 | 0 | 188 | 0 | 0 | 87 |
| N.S. |
1 | 1.00 | 4.30 | 3.46 | 0.00 | 1.69 | 0.00 | 0.00 | 0.78 |
| time (sec) |
N/A | 0.070 | 6.159 | 0.114 | 0.000 | 0.596 | 0.000 | 0.000 | 1.282 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 135 | 294 | 437 | 0 | 199 | 0 | 0 | 87 |
| N.S. |
1 | 1.00 | 2.18 | 3.24 | 0.00 | 1.47 | 0.00 | 0.00 | 0.64 |
| time (sec) |
N/A | 0.078 | 4.689 | 0.128 | 0.000 | 0.714 | 0.000 | 0.000 | 1.377 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 548 | 260 | 0 | 175 | 0 | 0 | 136 |
| N.S. |
1 | 1.00 | 3.73 | 1.77 | 0.00 | 1.19 | 0.00 | 0.00 | 0.93 |
| time (sec) |
N/A | 0.136 | 6.128 | 0.098 | 0.000 | 0.964 | 0.000 | 0.000 | 1.184 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 121 | 516 | 272 | 0 | 162 | 0 | 0 | 129 |
| N.S. |
1 | 1.00 | 4.26 | 2.25 | 0.00 | 1.34 | 0.00 | 0.00 | 1.07 |
| time (sec) |
N/A | 0.125 | 6.109 | 0.093 | 0.000 | 1.352 | 0.000 | 0.000 | 1.039 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 95 | 95 | 235 | 250 | 0 | 149 | 0 | 0 | 104 |
| N.S. |
1 | 1.00 | 2.47 | 2.63 | 0.00 | 1.57 | 0.00 | 0.00 | 1.09 |
| time (sec) |
N/A | 0.114 | 5.856 | 0.106 | 0.000 | 0.819 | 0.000 | 0.000 | 0.919 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-2) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 224 | 228 | 0 | 134 | 0 | 0 | 59 |
| N.S. |
1 | 1.00 | 3.34 | 3.40 | 0.00 | 2.00 | 0.00 | 0.00 | 0.88 |
| time (sec) |
N/A | 0.102 | 5.364 | 0.082 | 0.000 | 0.997 | 0.000 | 0.000 | 0.885 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 39 | 185 | 0 | 97 | 0 | 0 | 82 |
| N.S. | 1 | 1.00 | 0.89 | 4.20 | 0.00 | 2.20 | 0.00 | 0.00 | 1.86 |
| time (sec) |
N/A | 0.084 | 0.169 | 0.092 | 0.000 | 0.895 | 0.000 | 0.000 | 1.214 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 470 | 371 | 0 | 187 | 0 | 0 | 109 |
| N.S. | 1 | 1.00 | 5.16 | 4.08 | 0.00 | 2.05 | 0.00 | 0.00 | 1.20 |
| time (sec) |
N/A | 0.114 | 6.155 | 0.108 | 0.000 | 0.806 | 0.000 | 0.000 | 1.272 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 121 | 503 | 386 | 0 | 202 | 0 | 0 | 114 |
| N.S. | 1 | 1.00 | 4.16 | 3.19 | 0.00 | 1.67 | 0.00 | 0.00 | 0.94 |
| time (sec) |
N/A | 0.126 | 6.191 | 0.128 | 0.000 | 0.796 | 0.000 | 0.000 | 1.378 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 531 | 439 | 0 | 215 | 0 | 0 | 114 |
| N.S. |
1 | 1.00 | 3.61 | 2.99 | 0.00 | 1.46 | 0.00 | 0.00 | 0.78 |
| time (sec) |
N/A | 0.135 | 6.235 | 0.129 | 0.000 | 1.125 | 0.000 | 0.000 | 1.456 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 548 | 260 | 0 | 175 | 0 | 0 | 206 |
| N.S. |
1 | 1.00 | 3.73 | 1.77 | 0.00 | 1.19 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 0.193 | 6.124 | 0.098 | 0.000 | 1.020 | 0.000 | 0.000 | 1.150 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 121 | 516 | 272 | 0 | 162 | 0 | 0 | 143 |
| N.S. |
1 | 1.00 | 4.26 | 2.25 | 0.00 | 1.34 | 0.00 | 0.00 | 1.18 |
| time (sec) |
N/A | 0.170 | 6.112 | 0.108 | 0.000 | 0.950 | 0.000 | 0.000 | 1.026 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-1) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 233 | 250 | 0 | 148 | 0 | 0 | 104 |
| N.S. |
1 | 1.00 | 2.56 | 2.75 | 0.00 | 1.63 | 0.00 | 0.00 | 1.14 |
| time (sec) |
N/A | 0.146 | 5.960 | 0.099 | 0.000 | 0.724 | 0.000 | 0.000 | 0.975 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-2) | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 240 | 172 | 0 | 180 | 0 | 0 | 104 |
| N.S. |
1 | 1.00 | 2.64 | 1.89 | 0.00 | 1.98 | 0.00 | 0.00 | 1.14 |
| time (sec) |
N/A | 0.142 | 4.907 | 0.098 | 0.000 | 0.909 | 0.000 | 0.000 | 1.016 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 479 | 371 | 0 | 187 | 0 | 0 | 126 |
| N.S. | 1 | 1.00 | 5.26 | 4.08 | 0.00 | 2.05 | 0.00 | 0.00 | 1.38 |
| time (sec) |
N/A | 0.143 | 6.192 | 0.118 | 0.000 | 0.832 | 0.000 | 0.000 | 1.640 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 117 | 501 | 386 | 0 | 200 | 0 | 0 | 154 |
| N.S. | 1 | 1.00 | 4.28 | 3.30 | 0.00 | 1.71 | 0.00 | 0.00 | 1.32 |
| time (sec) |
N/A | 0.165 | 6.214 | 0.124 | 0.000 | 0.498 | 0.000 | 0.000 | 1.585 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 531 | 439 | 0 | 215 | 0 | 0 | 145 |
| N.S. | 1 | 1.00 | 3.61 | 2.99 | 0.00 | 1.46 | 0.00 | 0.00 | 0.99 |
| time (sec) |
N/A | 0.181 | 6.242 | 0.138 | 0.000 | 0.756 | 0.000 | 0.000 | 1.642 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 128 | 128 | 314 | 229 | 0 | 208 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.45 | 1.79 | 0.00 | 1.62 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.143 | 1.692 | 0.088 | 0.000 | 0.995 | 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 | 100 | 100 | 292 | 215 | 0 | 198 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.92 | 2.15 | 0.00 | 1.98 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.127 | 2.118 | 0.085 | 0.000 | 0.781 | 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 | 72 | 72 | 270 | 199 | 0 | 186 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.75 | 2.76 | 0.00 | 2.58 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.112 | 1.697 | 0.088 | 0.000 | 0.672 | 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 | 70 | 70 | 262 | 198 | 0 | 184 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.74 | 2.83 | 0.00 | 2.63 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.114 | 1.057 | 0.086 | 0.000 | 1.297 | 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 | 70 | 70 | 263 | 200 | 0 | 184 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.76 | 2.86 | 0.00 | 2.63 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.112 | 1.064 | 0.089 | 0.000 | 0.813 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 96 | 96 | 303 | 253 | 0 | 236 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 3.16 | 2.64 | 0.00 | 2.46 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.126 | 1.733 | 0.101 | 0.000 | 0.525 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 124 | 338 | 413 | 0 | 258 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.73 | 3.33 | 0.00 | 2.08 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.135 | 3.676 | 0.129 | 0.000 | 1.030 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 160 | 160 | 366 | 283 | 0 | 288 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.29 | 1.77 | 0.00 | 1.80 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.204 | 2.394 | 0.097 | 0.000 | 0.754 | 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 | 138 | 138 | 341 | 270 | 0 | 278 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.47 | 1.96 | 0.00 | 2.01 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.191 | 1.666 | 0.105 | 0.000 | 0.683 | 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 | 112 | 112 | 374 | 257 | 0 | 268 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 3.34 | 2.29 | 0.00 | 2.39 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.179 | 6.182 | 0.103 | 0.000 | 1.264 | 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 | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 109 | 656 | 257 | 0 | 268 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 6.02 | 2.36 | 0.00 | 2.46 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.174 | 6.179 | 0.099 | 0.000 | 0.515 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | B | F | C | F | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 63 | 188 | 0 | 150 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 1.11 | 3.30 | 0.00 | 2.63 | 0.00 | 0.00 | -0.02 |
| time (sec) |
N/A | 0.079 | 0.227 | 0.102 | 0.000 | 1.152 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 109 | 312 | 257 | 0 | 268 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.86 | 2.36 | 0.00 | 2.46 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.180 | 4.983 | 0.103 | 0.000 | 0.499 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 136 | 136 | 393 | 405 | 0 | 318 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.89 | 2.98 | 0.00 | 2.34 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.187 | 6.254 | 0.118 | 0.000 | 0.736 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 162 | 162 | 372 | 413 | 0 | 338 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.30 | 2.55 | 0.00 | 2.09 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.210 | 2.213 | 0.155 | 0.000 | 0.876 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F | C | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 207 | 391 | 296 | 0 | 364 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.89 | 1.43 | 0.00 | 1.76 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.299 | 2.751 | 0.118 | 0.000 | 0.912 | 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 | 181 | 181 | 375 | 283 | 0 | 354 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.07 | 1.56 | 0.00 | 1.96 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.278 | 2.176 | 0.106 | 0.000 | 0.704 | 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 | 155 | 155 | 357 | 270 | 0 | 344 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 2.30 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.261 | 1.821 | 0.111 | 0.000 | 0.907 | 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 | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 155 | 721 | 270 | 0 | 344 | 0 | 0 | -1 |
| N.S. | 1 | 1.00 | 4.65 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.257 | 6.232 | 0.109 | 0.000 | 0.792 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 155 | 342 | 270 | 0 | 344 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.21 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.258 | 1.676 | 0.108 | 0.000 | 0.660 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 155 | 342 | 270 | 0 | 344 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.21 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.254 | 1.581 | 0.119 | 0.000 | 0.708 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 155 | 721 | 268 | 0 | 344 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 4.65 | 1.73 | 0.00 | 2.22 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.254 | 6.206 | 0.114 | 0.000 | 1.011 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 181 | 181 | 372 | 555 | 0 | 394 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 2.06 | 3.07 | 0.00 | 2.18 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.269 | 2.038 | 0.132 | 0.000 | 0.587 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | C | A | F(-1) | C | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 207 | 402 | 453 | 0 | 414 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 1.94 | 2.19 | 0.00 | 2.00 | 0.00 | 0.00 | -0.00 |
| time (sec) |
N/A | 0.287 | 2.579 | 0.164 | 0.000 | 0.480 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | A | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 153 | 80 | 80 | 293 | 79 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.52 | 0.52 | 1.92 | 0.52 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.196 | 0.219 | 0.602 | 0.831 | 2.999 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | B | A | F(-1) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 115 | 61 | 70 | 203 | 69 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.53 | 0.61 | 1.77 | 0.60 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.157 | 0.181 | 0.124 | 0.548 | 2.407 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
A | A | A | A | A | A | F(-2) | F | F |
| verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 77 | 49 | 58 | 113 | 57 | 0 | 0 | -1 |
| N.S. |
1 | 1.00 | 0.64 | 0.75 | 1.47 | 0.74 | 0.00 | 0.00 | -0.01 |
| time (sec) |
N/A | 0.113 | 0.125 | 0.122 | 0.541 | 3.628 | 0.000 | 0.000 | 0.000 |