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 | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 203 | 203 | 225 | 250 | 0 | 345 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.11 | 1.23 | 0.00 | 1.70 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.119 | 0.552 | 0.842 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 153 | 200 | 189 | 0 | 327 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.31 | 1.24 | 0.00 | 2.14 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.075 | 0.249 | 0.734 | 0.000 | 0.295 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 107 | 107 | 176 | 111 | 0 | 308 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.64 | 1.04 | 0.00 | 2.88 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.047 | 0.184 | 0.723 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 97 | 44 | 31 | 253 | 0 | 0 | 43 |
| N.S. |
1 | 1.00 | 2.20 | 1.00 | 0.70 | 5.75 | 0.00 | 0.00 | 0.98 |
| time (sec) |
N/A | 0.042 | 0.276 | 0.413 | 0.203 | 0.268 | 0.000 | 0.000 | 4.983 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 170 | 170 | 332 | 882 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.95 | 5.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.219 | 0.314 | 0.878 | 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 | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 70 | 70 | 244 | 171 | 0 | 651 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.49 | 2.44 | 0.00 | 9.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.083 | 0.269 | 0.947 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 133 | 315 | 370 | 0 | 865 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.37 | 2.78 | 0.00 | 6.50 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.181 | 0.897 | 0.961 | 0.000 | 0.320 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 197 | 197 | 368 | 608 | 0 | 987 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.87 | 3.09 | 0.00 | 5.01 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.244 | 0.360 | 0.974 | 0.000 | 0.331 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 279 | 279 | 305 | 599 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.09 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.193 | 2.278 | 0.870 | 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 | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 149 | 149 | 172 | 331 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.15 | 2.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.118 | 0.523 | 0.776 | 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 | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 80 | 105 | 192 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.31 | 2.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.057 | 0.240 | 0.545 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 274 | 274 | 280 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.363 | 0.336 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 224 | 224 | 678 | 362 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.03 | 1.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.307 | 2.832 | 0.922 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 537 | 537 | 1439 | 982 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.68 | 1.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.579 | 7.997 | 1.208 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 254 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.198 | 0.653 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 136 | 136 | 153 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.082 | 0.138 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 378 | 378 | 384 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.393 | 0.360 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 330 | 330 | 8527 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 25.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.496 | 69.418 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 965 | 965 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 1.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 164 | 164 | 84 | 54 | 58 | 57 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.51 | 0.33 | 0.35 | 0.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.022 | 0.050 | 0.252 | 0.210 | 0.255 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 126 | 126 | 72 | 49 | 46 | 52 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.57 | 0.39 | 0.37 | 0.41 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.019 | 0.037 | 0.221 | 0.212 | 0.250 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 88 | 88 | 56 | 42 | 34 | 45 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.64 | 0.48 | 0.39 | 0.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.013 | 0.030 | 0.231 | 0.215 | 0.260 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 43 | 43 | 118 | 36 | 19 | 39 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.74 | 0.84 | 0.44 | 0.91 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.005 | 0.127 | 0.230 | 0.204 | 0.254 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 46 | 46 | 45 | 65 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.98 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.071 | 0.058 | 0.468 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 98 | 111 | 64 | 65 | 45 | 0 | 0 | 40 |
| N.S. |
1 | 1.00 | 1.13 | 0.65 | 0.66 | 0.46 | 0.00 | 0.00 | 0.41 |
| time (sec) |
N/A | 0.016 | 0.083 | 0.253 | 0.219 | 0.262 | 0.000 | 0.000 | 4.901 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 136 | 136 | 125 | 79 | 92 | 54 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.92 | 0.58 | 0.68 | 0.40 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.020 | 0.123 | 0.230 | 0.210 | 0.259 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 172 | 172 | 140 | 91 | 116 | 60 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.81 | 0.53 | 0.67 | 0.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.025 | 0.137 | 0.232 | 0.204 | 0.262 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 21 | 21 | 25 | 20 | 16 | 22 | 0 | 0 | 17 |
| N.S. |
1 | 1.00 | 1.19 | 0.95 | 0.76 | 1.05 | 0.00 | 0.00 | 0.81 |
| time (sec) |
N/A | 0.005 | 0.022 | 0.230 | 0.224 | 0.254 | 0.000 | 0.000 | 0.070 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | F | F(-2) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 219 | 111 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.59 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.078 | 1.086 | 1.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 54 | 49 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.073 | 0.059 | 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 | A | F | F(-2) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 77 | 249 | 135 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 3.23 | 1.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.066 | 1.859 | 1.099 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 64 | 83 | 65 | 64 | 47 | 65 | 0 | 0 | 75 |
| N.S. |
1 | 1.30 | 1.02 | 1.00 | 0.73 | 1.02 | 0.00 | 0.00 | 1.17 |
| time (sec) |
N/A | 0.025 | 0.099 | 0.047 | 0.240 | 0.245 | 0.000 | 0.000 | 4.127 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 84 | 84 | 97 | 118 | 0 | 95 | 0 | 0 | 521 |
| N.S. |
1 | 1.00 | 1.15 | 1.40 | 0.00 | 1.13 | 0.00 | 0.00 | 6.20 |
| time (sec) |
N/A | 0.025 | 0.143 | 0.045 | 0.000 | 0.250 | 0.000 | 0.000 | 16.438 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 38 | 52 | 48 | 54 | 38 | 54 | 0 | 0 | 55 |
| N.S. |
1 | 1.37 | 1.26 | 1.42 | 1.00 | 1.42 | 0.00 | 0.00 | 1.45 |
| time (sec) |
N/A | 0.019 | 0.068 | 0.049 | 0.222 | 0.254 | 0.000 | 0.000 | 5.112 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 53 | 53 | 75 | 92 | 0 | 79 | 0 | 0 | 303 |
| N.S. |
1 | 1.00 | 1.42 | 1.74 | 0.00 | 1.49 | 0.00 | 0.00 | 5.72 |
| time (sec) |
N/A | 0.014 | 0.067 | 0.048 | 0.000 | 0.253 | 0.000 | 0.000 | 10.972 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 24 | 39 | 79 | 80 | 0 | 115 | 0 | 0 | 182 |
| N.S. |
1 | 1.62 | 3.29 | 3.33 | 0.00 | 4.79 | 0.00 | 0.00 | 7.58 |
| time (sec) |
N/A | 0.082 | 0.053 | 0.103 | 0.000 | 0.259 | 0.000 | 0.000 | 6.311 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 48 | 64 | 75 | 92 | 0 | 77 | 0 | 0 | 184 |
| N.S. |
1 | 1.33 | 1.56 | 1.92 | 0.00 | 1.60 | 0.00 | 0.00 | 3.83 |
| time (sec) |
N/A | 0.021 | 0.056 | 0.048 | 0.000 | 0.270 | 0.000 | 0.000 | 6.371 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | B | B | A | F | B | A | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 35 | 99 | 93 | 91 | 0 | 128 | 71 | 0 | 71 |
| N.S. |
1 | 2.83 | 2.66 | 2.60 | 0.00 | 3.66 | 2.03 | 0.00 | 2.03 |
| time (sec) |
N/A | 0.030 | 0.066 | 0.046 | 0.000 | 0.254 | 2.665 | 0.000 | 4.878 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | C | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 55 | 84 | 43 | 53 | 43 | 52 | 0 | 0 | 58 |
| N.S. |
1 | 1.53 | 0.78 | 0.96 | 0.78 | 0.95 | 0.00 | 0.00 | 1.05 |
| time (sec) |
N/A | 0.027 | 0.054 | 0.043 | 0.224 | 0.262 | 0.000 | 0.000 | 4.587 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 132 | 132 | 110 | 110 | 0 | 138 | 0 | 0 | 602 |
| N.S. |
1 | 1.00 | 0.83 | 0.83 | 0.00 | 1.05 | 0.00 | 0.00 | 4.56 |
| time (sec) |
N/A | 0.042 | 0.087 | 0.046 | 0.000 | 0.246 | 0.000 | 0.000 | 19.502 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 115 | 60 | 63 | 51 | 60 | 0 | 0 | 76 |
| N.S. |
1 | 1.00 | 0.52 | 0.55 | 0.44 | 0.52 | 0.00 | 0.00 | 0.66 |
| time (sec) |
N/A | 0.036 | 0.073 | 0.048 | 0.218 | 0.250 | 0.000 | 0.000 | 4.644 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 163 | 129 | 132 | 0 | 148 | 0 | 0 | 878 |
| N.S. |
1 | 1.00 | 0.79 | 0.81 | 0.00 | 0.91 | 0.00 | 0.00 | 5.39 |
| time (sec) |
N/A | 0.054 | 0.133 | 0.053 | 0.000 | 0.260 | 0.000 | 0.000 | 41.119 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 146 | 146 | 76 | 71 | 60 | 69 | 0 | 0 | 95 |
| N.S. |
1 | 1.00 | 0.52 | 0.49 | 0.41 | 0.47 | 0.00 | 0.00 | 0.65 |
| time (sec) |
N/A | 0.051 | 0.098 | 0.056 | 0.231 | 0.248 | 0.000 | 0.000 | 4.862 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 194 | 194 | 145 | 152 | 0 | 156 | 0 | 0 | 1155 |
| N.S. |
1 | 1.00 | 0.75 | 0.78 | 0.00 | 0.80 | 0.00 | 0.00 | 5.95 |
| time (sec) |
N/A | 0.074 | 0.137 | 0.060 | 0.000 | 0.258 | 0.000 | 0.000 | 43.823 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 111 | 111 | 111 | 137 | 0 | 116 | 0 | 205 | 521 |
| N.S. |
1 | 1.00 | 1.00 | 1.23 | 0.00 | 1.05 | 0.00 | 1.85 | 4.69 |
| time (sec) |
N/A | 0.044 | 0.183 | 0.201 | 0.000 | 0.252 | 0.000 | 0.320 | 18.815 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 115 | 143 | 114 | 0 | 79 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.24 | 0.99 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.037 | 0.350 | 1.070 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | B | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 71 | 56 | 60 | 42 | 60 | 0 | 190 | 57 |
| N.S. |
1 | 1.22 | 0.97 | 1.03 | 0.72 | 1.03 | 0.00 | 3.28 | 0.98 |
| time (sec) |
N/A | 0.028 | 0.110 | 0.052 | 0.226 | 0.257 | 0.000 | 0.300 | 5.472 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 112 | 112 | 140 | 136 | 0 | 91 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.25 | 1.21 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.049 | 0.460 | 0.659 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | B | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 63 | 63 | 92 | 112 | 0 | 102 | 0 | 132 | 306 |
| N.S. |
1 | 1.00 | 1.46 | 1.78 | 0.00 | 1.62 | 0.00 | 2.10 | 4.86 |
| time (sec) |
N/A | 0.027 | 0.103 | 0.098 | 0.000 | 0.262 | 0.000 | 0.297 | 10.881 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 67 | 112 | 102 | 0 | 62 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.67 | 1.52 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.021 | 0.273 | 0.576 | 0.000 | 0.078 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 68 | 68 | 100 | 127 | 0 | 133 | 0 | 0 | 182 |
| N.S. |
1 | 1.00 | 1.47 | 1.87 | 0.00 | 1.96 | 0.00 | 0.00 | 2.68 |
| time (sec) |
N/A | 0.030 | 0.069 | 0.110 | 0.000 | 0.247 | 0.000 | 0.000 | 7.093 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 135 | 132 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.92 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.051 | 0.328 | 0.770 | 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 | B | F | B | B |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 80 | 93 | 22 | 103 | 0 | 102 | 0 | 252 | 185 |
| N.S. |
1 | 1.16 | 0.28 | 1.29 | 0.00 | 1.28 | 0.00 | 3.15 | 2.31 |
| time (sec) |
N/A | 0.040 | 0.086 | 0.106 | 0.000 | 0.254 | 0.000 | 1.726 | 7.400 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 115 | 115 | 101 | 104 | 0 | 64 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.88 | 0.90 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.037 | 0.227 | 0.895 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | A | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 118 | 118 | 105 | 129 | 0 | 146 | 82 | 0 | 71 |
| N.S. |
1 | 1.00 | 0.89 | 1.09 | 0.00 | 1.24 | 0.69 | 0.00 | 0.60 |
| time (sec) |
N/A | 0.043 | 0.397 | 0.105 | 0.000 | 0.260 | 4.073 | 0.000 | 5.193 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 109 | 187 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.050 | 0.612 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 107 | 107 | 159 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.042 | 2.077 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 91 | 91 | 145 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.037 | 0.368 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 109 | 109 | 139 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.060 | 0.713 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F(-2) | F | F | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 133 | 133 | 186 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.065 | 4.331 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F(-2) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 119 | 119 | 159 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.042 | 0.327 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F(-2) | F(-2) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 105 | 105 | 164 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.043 | 0.251 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 106 | 96 | 116 | 0 | 102 | 0 | 0 | 0 |
| N.S. |
1 | 1.22 | 1.10 | 1.33 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.047 | 0.152 | 1.171 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-2) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 107 | 107 | 166 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.047 | 0.243 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 203 | 203 | 105 | 136 | 0 | 103 | 0 | 0 | 808 |
| N.S. |
1 | 1.00 | 0.52 | 0.67 | 0.00 | 0.51 | 0.00 | 0.00 | 3.98 |
| time (sec) |
N/A | 0.530 | 0.159 | 0.060 | 0.000 | 0.262 | 0.000 | 0.000 | 25.515 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 117 | 117 | 52 | 72 | 42 | 62 | 0 | 0 | 63 |
| N.S. |
1 | 1.00 | 0.44 | 0.62 | 0.36 | 0.53 | 0.00 | 0.00 | 0.54 |
| time (sec) |
N/A | 0.400 | 0.075 | 0.051 | 0.224 | 0.244 | 0.000 | 0.000 | 4.678 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 169 | 169 | 86 | 105 | 0 | 87 | 0 | 0 | 420 |
| N.S. |
1 | 1.00 | 0.51 | 0.62 | 0.00 | 0.51 | 0.00 | 0.00 | 2.49 |
| time (sec) |
N/A | 0.338 | 0.078 | 0.054 | 0.000 | 0.249 | 0.000 | 0.000 | 12.778 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 85 | 85 | 89 | 98 | 0 | 124 | 0 | 0 | 56 |
| N.S. |
1 | 1.00 | 1.05 | 1.15 | 0.00 | 1.46 | 0.00 | 0.00 | 0.66 |
| time (sec) |
N/A | 0.314 | 0.069 | 0.045 | 0.000 | 0.251 | 0.000 | 0.000 | 7.010 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 75 | 111 | 0 | 85 | 0 | 0 | 162 |
| N.S. |
1 | 1.00 | 1.32 | 1.95 | 0.00 | 1.49 | 0.00 | 0.00 | 2.84 |
| time (sec) |
N/A | 0.131 | 0.107 | 0.055 | 0.000 | 0.272 | 0.000 | 0.000 | 7.778 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 86 | 86 | 110 | 0 | 138 | 82 | 0 | 323 |
| N.S. |
1 | 1.00 | 1.00 | 1.28 | 0.00 | 1.60 | 0.95 | 0.00 | 3.76 |
| time (sec) |
N/A | 0.317 | 0.067 | 0.047 | 0.000 | 0.248 | 2.889 | 0.000 | 13.879 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 52 | 73 | 46 | 61 | 0 | 0 | 67 |
| N.S. |
1 | 1.00 | 0.91 | 1.28 | 0.81 | 1.07 | 0.00 | 0.00 | 1.18 |
| time (sec) |
N/A | 0.275 | 0.073 | 0.046 | 0.220 | 0.253 | 0.000 | 0.000 | 4.762 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 121 | 131 | 0 | 146 | 0 | 0 | 885 |
| N.S. |
1 | 1.00 | 0.82 | 0.89 | 0.00 | 0.99 | 0.00 | 0.00 | 6.02 |
| time (sec) |
N/A | 0.333 | 0.129 | 0.056 | 0.000 | 0.257 | 0.000 | 0.000 | 46.860 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 183 | 183 | 69 | 84 | 56 | 69 | 0 | 0 | 86 |
| N.S. |
1 | 1.00 | 0.38 | 0.46 | 0.31 | 0.38 | 0.00 | 0.00 | 0.47 |
| time (sec) |
N/A | 0.378 | 0.092 | 0.050 | 0.212 | 0.269 | 0.000 | 0.000 | 5.425 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 267 | 267 | 137 | 153 | 0 | 156 | 0 | 0 | 2480 |
| N.S. |
1 | 1.00 | 0.51 | 0.57 | 0.00 | 0.58 | 0.00 | 0.00 | 9.29 |
| time (sec) |
N/A | 0.414 | 0.157 | 0.062 | 0.000 | 0.255 | 0.000 | 0.000 | 68.991 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 301 | 301 | 85 | 92 | 65 | 78 | 0 | 0 | 105 |
| N.S. |
1 | 1.00 | 0.28 | 0.31 | 0.22 | 0.26 | 0.00 | 0.00 | 0.35 |
| time (sec) |
N/A | 0.412 | 0.108 | 0.056 | 0.213 | 0.248 | 0.000 | 0.000 | 5.340 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 65 | 531 | 0 | 65 | 0 | 0 | 73 |
| N.S. |
1 | 1.00 | 0.44 | 3.61 | 0.00 | 0.44 | 0.00 | 0.00 | 0.50 |
| time (sec) |
N/A | 0.438 | 0.096 | 0.351 | 0.000 | 0.250 | 0.000 | 0.000 | 5.348 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 163 | 97 | 120 | 0 | 95 | 0 | 0 | 795 |
| N.S. |
1 | 1.00 | 0.60 | 0.74 | 0.00 | 0.58 | 0.00 | 0.00 | 4.88 |
| time (sec) |
N/A | 0.382 | 0.128 | 0.918 | 0.000 | 0.251 | 0.000 | 0.000 | 25.409 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 75 | 75 | 48 | 269 | 0 | 54 | 0 | 0 | 57 |
| N.S. |
1 | 1.00 | 0.64 | 3.59 | 0.00 | 0.72 | 0.00 | 0.00 | 0.76 |
| time (sec) |
N/A | 0.348 | 0.069 | 0.286 | 0.000 | 0.248 | 0.000 | 0.000 | 4.887 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 94 | 94 | 75 | 94 | 0 | 79 | 0 | 0 | 407 |
| N.S. |
1 | 1.00 | 0.80 | 1.00 | 0.00 | 0.84 | 0.00 | 0.00 | 4.33 |
| time (sec) |
N/A | 0.202 | 0.079 | 0.876 | 0.000 | 0.263 | 0.000 | 0.000 | 13.356 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 65 | 65 | 72 | 2612 | 0 | 115 | 0 | 0 | 47 |
| N.S. |
1 | 1.00 | 1.11 | 40.18 | 0.00 | 1.77 | 0.00 | 0.00 | 0.72 |
| time (sec) |
N/A | 0.108 | 0.045 | 0.282 | 0.000 | 0.256 | 0.000 | 0.000 | 7.361 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 46 | 46 | 74 | 96 | 0 | 76 | 0 | 0 | 184 |
| N.S. |
1 | 1.00 | 1.61 | 2.09 | 0.00 | 1.65 | 0.00 | 0.00 | 4.00 |
| time (sec) |
N/A | 0.282 | 0.044 | 0.894 | 0.000 | 0.278 | 0.000 | 0.000 | 7.480 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 72 | 72 | 92 | 96 | 0 | 128 | 0 | 0 | 323 |
| N.S. |
1 | 1.00 | 1.28 | 1.33 | 0.00 | 1.78 | 0.00 | 0.00 | 4.49 |
| time (sec) |
N/A | 0.274 | 0.063 | 0.886 | 0.000 | 0.257 | 0.000 | 0.000 | 16.763 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 116 | 116 | 43 | 58 | 0 | 52 | 0 | 0 | 58 |
| N.S. |
1 | 1.00 | 0.37 | 0.50 | 0.00 | 0.45 | 0.00 | 0.00 | 0.50 |
| time (sec) |
N/A | 0.313 | 0.059 | 0.914 | 0.000 | 0.256 | 0.000 | 0.000 | 5.728 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 200 | 200 | 110 | 115 | 0 | 138 | 0 | 0 | 1511 |
| N.S. |
1 | 1.00 | 0.55 | 0.58 | 0.00 | 0.69 | 0.00 | 0.00 | 7.56 |
| time (sec) |
N/A | 0.357 | 0.119 | 0.931 | 0.000 | 0.258 | 0.000 | 0.000 | 50.942 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 233 | 233 | 60 | 68 | 0 | 60 | 0 | 0 | 75 |
| N.S. |
1 | 1.00 | 0.26 | 0.29 | 0.00 | 0.26 | 0.00 | 0.00 | 0.32 |
| time (sec) |
N/A | 0.364 | 0.073 | 0.939 | 0.000 | 0.243 | 0.000 | 0.000 | 5.173 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 320 | 320 | 129 | 137 | 0 | 148 | 0 | 0 | 2479 |
| N.S. |
1 | 1.00 | 0.40 | 0.43 | 0.00 | 0.46 | 0.00 | 0.00 | 7.75 |
| time (sec) |
N/A | 0.396 | 0.158 | 1.008 | 0.000 | 0.251 | 0.000 | 0.000 | 69.659 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 353 | 353 | 76 | 76 | 0 | 69 | 0 | 0 | 91 |
| N.S. |
1 | 1.00 | 0.22 | 0.22 | 0.00 | 0.20 | 0.00 | 0.00 | 0.26 |
| time (sec) |
N/A | 0.442 | 0.105 | 0.943 | 0.000 | 0.251 | 0.000 | 0.000 | 5.232 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 89 | 89 | 95 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.133 | 0.795 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 88 | 88 | 69 | 74 | 0 | 69 | 0 | 0 | 76 |
| N.S. |
1 | 1.00 | 0.78 | 0.84 | 0.00 | 0.78 | 0.00 | 0.00 | 0.86 |
| time (sec) |
N/A | 0.131 | 0.220 | 0.691 | 0.000 | 0.244 | 0.000 | 0.000 | 5.423 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 75 | 75 | 110 | 122 | 0 | 91 | 0 | 0 | 340 |
| N.S. |
1 | 1.00 | 1.47 | 1.63 | 0.00 | 1.21 | 0.00 | 0.00 | 4.53 |
| time (sec) |
N/A | 0.117 | 0.199 | 0.682 | 0.000 | 0.255 | 0.000 | 0.000 | 11.191 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 45 | 45 | 44 | 52 | 0 | 49 | 0 | 0 | 44 |
| N.S. |
1 | 1.00 | 0.98 | 1.16 | 0.00 | 1.09 | 0.00 | 0.00 | 0.98 |
| time (sec) |
N/A | 0.097 | 0.135 | 0.697 | 0.000 | 0.264 | 0.000 | 0.000 | 5.245 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | C | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 37 | 68 | 97 | 0 | 53 | 0 | 0 | 84 |
| N.S. |
1 | 1.00 | 1.84 | 2.62 | 0.00 | 1.43 | 0.00 | 0.00 | 2.27 |
| time (sec) |
N/A | 0.061 | 0.200 | 0.694 | 0.000 | 0.252 | 0.000 | 0.000 | 6.105 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 73 | 82 | 0 | 92 | 0 | 0 | 59 |
| N.S. |
1 | 1.00 | 1.03 | 1.15 | 0.00 | 1.30 | 0.00 | 0.00 | 0.83 |
| time (sec) |
N/A | 0.095 | 0.165 | 0.704 | 0.000 | 0.242 | 0.000 | 0.000 | 5.954 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 42 | 42 | 59 | 65 | 0 | 62 | 0 | 0 | 37 |
| N.S. |
1 | 1.00 | 1.40 | 1.55 | 0.00 | 1.48 | 0.00 | 0.00 | 0.88 |
| time (sec) |
N/A | 0.110 | 0.213 | 0.722 | 0.000 | 0.264 | 0.000 | 0.000 | 5.083 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 108 | 108 | 108 | 119 | 0 | 156 | 0 | 0 | 331 |
| N.S. |
1 | 1.00 | 1.00 | 1.10 | 0.00 | 1.44 | 0.00 | 0.00 | 3.06 |
| time (sec) |
N/A | 0.128 | 0.216 | 0.729 | 0.000 | 0.249 | 0.000 | 0.000 | 17.892 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 85 | 85 | 90 | 90 | 0 | 89 | 0 | 0 | 75 |
| N.S. |
1 | 1.00 | 1.06 | 1.06 | 0.00 | 1.05 | 0.00 | 0.00 | 0.88 |
| time (sec) |
N/A | 0.124 | 0.323 | 0.731 | 0.000 | 0.251 | 0.000 | 0.000 | 5.484 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | B | B | A | F | A | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 12 | 26 | 28 | 36 | 0 | 35 | 0 | 0 | 76 |
| N.S. |
1 | 2.17 | 2.33 | 3.00 | 0.00 | 2.92 | 0.00 | 0.00 | 6.33 |
| time (sec) |
N/A | 0.821 | 0.441 | 0.734 | 0.000 | 0.247 | 0.000 | 0.000 | 5.778 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 61 | 61 | 52 | 111 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.85 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.087 | 0.101 | 0.783 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 57 | 57 | 106 | 53 | 38 | 283 | 0 | 0 | 56 |
| N.S. |
1 | 1.00 | 1.86 | 0.93 | 0.67 | 4.96 | 0.00 | 0.00 | 0.98 |
| time (sec) |
N/A | 0.081 | 0.174 | 0.185 | 0.199 | 0.271 | 0.000 | 0.000 | 5.585 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | A | B | F(-1) | F | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 58 | 58 | 106 | 0 | 40 | 385 | 0 | 0 | 54 |
| N.S. |
1 | 1.00 | 1.83 | 0.00 | 0.69 | 6.64 | 0.00 | 0.00 | 0.93 |
| time (sec) |
N/A | 0.093 | 0.218 | 0.000 | 0.196 | 0.304 | 0.000 | 0.000 | 5.009 |