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 | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 145 | 148 | 139 | 0 | 74 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.02 | 0.96 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.391 | 20.141 | 3.109 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 160 | 160 | 148 | 143 | 0 | 79 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.92 | 0.89 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.433 | 10.098 | 2.898 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-2) | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 163 | 146 | 143 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.90 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.429 | 20.202 | 2.870 | 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(-2) | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 156 | 150 | 139 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.96 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.421 | 10.069 | 2.885 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 280 | 280 | 164 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.617 | 10.170 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 288 | 288 | 166 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.607 | 10.159 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 297 | 167 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.616 | 10.116 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 293 | 293 | 167 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.614 | 10.119 | 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 | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 249 | 249 | 169 | 495 | 0 | 349 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.68 | 1.99 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.521 | 10.173 | 1.375 | 0.000 | 0.162 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 146 | 146 | 136 | 132 | 0 | 57 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.93 | 0.90 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.410 | 20.191 | 2.095 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 164 | 164 | 136 | 143 | 0 | 66 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.83 | 0.87 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.439 | 10.100 | 2.127 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 167 | 167 | 134 | 132 | 0 | 211 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.80 | 0.79 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.421 | 20.213 | 2.120 | 0.000 | 0.138 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 157 | 157 | 138 | 139 | 0 | 213 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.88 | 0.89 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.418 | 10.070 | 2.074 | 0.000 | 0.124 | 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 | B |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 329 | 321 | 128 | 123 | 0 | 0 | 0 | 0 | 164 |
| N.S. |
1 | 0.98 | 0.39 | 0.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.50 |
| time (sec) |
N/A | 0.938 | 20.091 | 1.250 | 0.000 | 0.000 | 0.000 | 0.000 | 9.151 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F | F | F | B |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 380 | 371 | 128 | 133 | 0 | 0 | 0 | 0 | 180 |
| N.S. |
1 | 0.98 | 0.34 | 0.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.47 |
| time (sec) |
N/A | 0.996 | 20.086 | 1.067 | 0.000 | 0.000 | 0.000 | 0.000 | 9.149 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F | F | F | B |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 374 | 374 | 126 | 124 | 0 | 0 | 0 | 0 | 164 |
| N.S. |
1 | 1.00 | 0.34 | 0.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.44 |
| time (sec) |
N/A | 0.971 | 20.065 | 1.245 | 0.000 | 0.000 | 0.000 | 0.000 | 0.030 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F | F | F | B |
| verified |
N/A | No | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 340 | 321 | 130 | 133 | 0 | 0 | 0 | 0 | 179 |
| N.S. |
1 | 0.94 | 0.38 | 0.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.53 |
| time (sec) |
N/A | 0.914 | 20.087 | 1.182 | 0.000 | 0.000 | 0.000 | 0.000 | 0.027 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 139 | 311 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.280 | 2.073 | 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(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 186 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.431 | 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 | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 187 | 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 | 0.282 | 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 | F | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 0 | 3064 | 0 | 712 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 20.84 | 0.00 | 4.84 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.244 | 0.000 | 50.888 | 0.000 | 3.740 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 159 | 0 | 3247 | 0 | 720 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.00 | 20.42 | 0.00 | 4.53 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.252 | 0.000 | 48.469 | 0.000 | 3.519 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 387 | 373 | 163 | 0 | 0 | 0 | 212 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.42 | 0.00 | 0.00 | 0.00 | 0.55 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.541 | 6.644 | 0.000 | 0.000 | 0.000 | 2.638 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 242 | 234 | 142 | 0 | 0 | 0 | 160 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.59 | 0.00 | 0.00 | 0.00 | 0.66 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.581 | 6.486 | 0.000 | 0.000 | 0.000 | 1.754 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 192 | 186 | 111 | 0 | 0 | 0 | 114 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.58 | 0.00 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.420 | 6.308 | 0.000 | 0.000 | 0.000 | 1.383 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | C | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 152 | 75 | 0 | 0 | 0 | 82 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.48 | 0.00 | 0.00 | 0.00 | 0.53 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.307 | 5.627 | 0.000 | 0.000 | 0.000 | 1.208 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 435 | 435 | 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 | 0.743 | 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 | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 818 | 818 | 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 | 1.104 | 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 | F | F | F(-1) | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 310 | 392 | 0 | 0 | 0 | 206 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.26 | 0.00 | 0.00 | 0.00 | 0.66 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.404 | 10.305 | 0.000 | 0.000 | 0.000 | 2.269 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 255 | 255 | 287 | 0 | 0 | 0 | 155 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.61 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.354 | 10.066 | 0.000 | 0.000 | 0.000 | 1.908 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 147 | 147 | 201 | 0 | 0 | 0 | 110 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.37 | 0.00 | 0.00 | 0.00 | 0.75 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.320 | 9.639 | 0.000 | 0.000 | 0.000 | 1.304 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | C | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 124 | 124 | 163 | 0 | 0 | 0 | 78 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.31 | 0.00 | 0.00 | 0.00 | 0.63 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.243 | 9.204 | 0.000 | 0.000 | 0.000 | 0.998 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 333 | 333 | 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 | 0.588 | 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 | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 761 | 761 | 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 | 1.080 | 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 | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 1513 | 1513 | 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 | 2.242 | 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 | F | F | F(-1) | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 306 | 306 | 166 | 0 | 0 | 0 | 204 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.54 | 0.00 | 0.00 | 0.00 | 0.67 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.407 | 10.103 | 0.000 | 0.000 | 0.000 | 2.331 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 184 | 145 | 0 | 0 | 0 | 153 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.78 | 0.00 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.448 | 10.085 | 0.000 | 0.000 | 0.000 | 1.716 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | A | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 141 | 141 | 95 | 0 | 0 | 0 | 109 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.67 | 0.00 | 0.00 | 0.00 | 0.77 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.334 | 10.034 | 0.000 | 0.000 | 0.000 | 1.324 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | C | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 121 | 121 | 78 | 0 | 0 | 0 | 78 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 0.00 | 0.64 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.244 | 9.335 | 0.000 | 0.000 | 0.000 | 1.018 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 332 | 332 | 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 | 0.561 | 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 | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 760 | 760 | 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 | 1.065 | 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 | F | F | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 1357 | 1357 | 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 | 2.041 | 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 | C | F | B | F | F(-2) | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 37 | 37 | 39 | 108 | 0 | 75 | 0 | 0 | 70 |
| N.S. |
1 | 1.00 | 1.05 | 2.92 | 0.00 | 2.03 | 0.00 | 0.00 | 1.89 |
| time (sec) |
N/A | 0.245 | 1.481 | 4.065 | 0.000 | 0.425 | 0.000 | 0.000 | 9.785 |
| 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 | 40 | 40 | 41 | 111 | 0 | 76 | 0 | 0 | 74 |
| N.S. |
1 | 1.00 | 1.02 | 2.78 | 0.00 | 1.90 | 0.00 | 0.00 | 1.85 |
| time (sec) |
N/A | 0.255 | 1.474 | 4.126 | 0.000 | 0.391 | 0.000 | 0.000 | 9.764 |
| 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 | 38 | 38 | 39 | 108 | 0 | 238 | 0 | 0 | 62 |
| N.S. |
1 | 1.00 | 1.03 | 2.84 | 0.00 | 6.26 | 0.00 | 0.00 | 1.63 |
| time (sec) |
N/A | 0.243 | 1.484 | 4.408 | 0.000 | 0.399 | 0.000 | 0.000 | 9.533 |
| 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 | 39 | 39 | 41 | 112 | 0 | 241 | 0 | 0 | 63 |
| N.S. |
1 | 1.00 | 1.05 | 2.87 | 0.00 | 6.18 | 0.00 | 0.00 | 1.62 |
| time (sec) |
N/A | 0.244 | 1.446 | 4.633 | 0.000 | 0.398 | 0.000 | 0.000 | 9.532 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F(-1) | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 63 | 63 | 65 | 0 | 0 | 0 | 0 | 0 | 106 |
| N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.68 |
| time (sec) |
N/A | 0.324 | 5.392 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 11.152 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F(-1) | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 65 | 65 | 67 | 0 | 0 | 0 | 0 | 0 | 107 |
| N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.65 |
| time (sec) |
N/A | 0.339 | 5.393 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 10.966 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F(-1) | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 66 | 66 | 68 | 0 | 0 | 0 | 0 | 0 | 102 |
| N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.55 |
| time (sec) |
N/A | 0.333 | 5.379 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 10.034 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F(-1) | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 66 | 66 | 68 | 0 | 0 | 0 | 0 | 0 | 103 |
| N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.56 |
| time (sec) |
N/A | 0.328 | 5.392 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 9.762 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 49 | 49 | 51 | 889 | 0 | 300 | 0 | 0 | 95 |
| N.S. |
1 | 1.00 | 1.04 | 18.14 | 0.00 | 6.12 | 0.00 | 0.00 | 1.94 |
| time (sec) |
N/A | 0.267 | 1.340 | 0.892 | 0.000 | 0.428 | 0.000 | 0.000 | 10.309 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 158 | 163 | 336 | 262 | 0 | 157 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 2.13 | 1.66 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.450 | 20.428 | 4.340 | 0.000 | 0.163 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 173 | 176 | 335 | 257 | 0 | 160 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.94 | 1.49 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.471 | 20.418 | 5.645 | 0.000 | 0.161 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-2) | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 176 | 179 | 333 | 266 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 1.89 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.456 | 20.398 | 5.348 | 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 | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 169 | 174 | 338 | 253 | 0 | 429 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 2.00 | 1.50 | 0.00 | 2.54 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.447 | 20.358 | 4.912 | 0.000 | 0.181 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 159 | 165 | 340 | 264 | 0 | 992 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 2.14 | 1.66 | 0.00 | 6.24 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.458 | 20.367 | 1.965 | 0.000 | 0.245 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 175 | 182 | 340 | 261 | 0 | 1005 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 1.94 | 1.49 | 0.00 | 5.74 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.483 | 20.424 | 1.961 | 0.000 | 0.225 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 178 | 185 | 338 | 270 | 0 | 999 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 1.90 | 1.52 | 0.00 | 5.61 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.452 | 20.418 | 1.865 | 0.000 | 0.237 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 170 | 176 | 342 | 255 | 0 | 1002 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 2.01 | 1.50 | 0.00 | 5.89 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.467 | 20.387 | 1.928 | 0.000 | 0.224 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 316 | 316 | 348 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.711 | 11.037 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 324 | 325 | 399 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.703 | 10.942 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 333 | 334 | 400 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.694 | 10.363 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 329 | 329 | 401 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.680 | 10.848 | 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 | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 265 | 265 | 380 | 900 | 0 | 390 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.43 | 3.40 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.577 | 11.072 | 0.960 | 0.000 | 0.319 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 145 | 207 | 258 | 0 | 82 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.43 | 1.78 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.426 | 10.323 | 3.692 | 0.000 | 0.130 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 160 | 160 | 209 | 253 | 0 | 83 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.31 | 1.58 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.462 | 10.346 | 3.716 | 0.000 | 0.132 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F(-2) | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 163 | 163 | 207 | 262 | 0 | 245 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.27 | 1.61 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.437 | 10.313 | 3.579 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 156 | 209 | 249 | 0 | 248 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.34 | 1.60 | 0.00 | 1.59 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.448 | 10.274 | 3.492 | 0.000 | 0.124 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 275 | 275 | 336 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.623 | 11.002 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 283 | 283 | 388 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.651 | 10.788 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 292 | 292 | 389 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.653 | 10.775 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 288 | 288 | 389 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.681 | 10.704 | 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 | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 246 | 246 | 372 | 892 | 0 | 350 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.51 | 3.63 | 0.00 | 1.42 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.553 | 10.949 | 0.959 | 0.000 | 0.168 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 23 | 23 | 31 | 44 | 0 | 44 | 0 | 0 | 205 |
| N.S. |
1 | 1.00 | 1.35 | 1.91 | 0.00 | 1.91 | 0.00 | 0.00 | 8.91 |
| time (sec) |
N/A | 0.212 | 0.964 | 1.319 | 0.000 | 0.278 | 0.000 | 0.000 | 0.124 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 27 | 27 | 33 | 49 | 0 | 47 | 0 | 0 | 221 |
| N.S. |
1 | 1.00 | 1.22 | 1.81 | 0.00 | 1.74 | 0.00 | 0.00 | 8.19 |
| time (sec) |
N/A | 0.210 | 0.939 | 1.366 | 0.000 | 0.289 | 0.000 | 0.000 | 0.105 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 25 | 25 | 21 | 75 | 0 | 40 | 0 | 0 | 205 |
| N.S. |
1 | 1.00 | 0.84 | 3.00 | 0.00 | 1.60 | 0.00 | 0.00 | 8.20 |
| time (sec) |
N/A | 0.202 | 0.951 | 1.473 | 0.000 | 0.288 | 0.000 | 0.000 | 9.072 |
| 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 | 25 | 25 | 23 | 79 | 0 | 38 | 0 | 0 | 221 |
| N.S. |
1 | 1.00 | 0.92 | 3.16 | 0.00 | 1.52 | 0.00 | 0.00 | 8.84 |
| time (sec) |
N/A | 0.203 | 0.864 | 1.617 | 0.000 | 0.284 | 0.000 | 0.000 | 9.324 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F(-1) | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 50 | 50 | 48 | 0 | 0 | 0 | 0 | 0 | 65 |
| N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.30 |
| time (sec) |
N/A | 0.280 | 2.339 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 9.652 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F(-1) | F | F(-1) | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 52 | 52 | 50 | 0 | 0 | 0 | 0 | 0 | 67 |
| N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.29 |
| time (sec) |
N/A | 0.284 | 2.289 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 9.586 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 53 | 53 | 51 | 0 | 0 | 592 | 0 | 0 | 74 |
| N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 11.17 | 0.00 | 0.00 | 1.40 |
| time (sec) |
N/A | 0.283 | 2.311 | 0.000 | 0.000 | 0.903 | 0.000 | 0.000 | 10.750 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | B | F | F(-1) | B |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 53 | 53 | 51 | 0 | 0 | 641 | 0 | 0 | 78 |
| N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 12.09 | 0.00 | 0.00 | 1.47 |
| time (sec) |
N/A | 0.282 | 2.257 | 0.000 | 0.000 | 0.904 | 0.000 | 0.000 | 10.702 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 46 | 46 | 44 | 503 | 0 | 294 | 0 | 0 | 67 |
| N.S. |
1 | 1.00 | 0.96 | 10.93 | 0.00 | 6.39 | 0.00 | 0.00 | 1.46 |
| time (sec) |
N/A | 0.263 | 1.241 | 1.516 | 0.000 | 0.405 | 0.000 | 0.000 | 9.705 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 139 | 273 | 246 | 0 | 61 | 0 | 0 | 327 |
| N.S. |
1 | 1.00 | 1.96 | 1.77 | 0.00 | 0.44 | 0.00 | 0.00 | 2.35 |
| time (sec) |
N/A | 0.365 | 20.395 | 0.949 | 0.000 | 0.132 | 0.000 | 0.000 | 0.131 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 153 | 153 | 271 | 246 | 0 | 66 | 0 | 0 | 359 |
| N.S. |
1 | 1.00 | 1.77 | 1.61 | 0.00 | 0.43 | 0.00 | 0.00 | 2.35 |
| time (sec) |
N/A | 0.388 | 20.229 | 0.960 | 0.000 | 0.092 | 0.000 | 0.000 | 9.264 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 156 | 156 | 269 | 246 | 0 | 55 | 0 | 0 | 327 |
| N.S. |
1 | 1.00 | 1.72 | 1.58 | 0.00 | 0.35 | 0.00 | 0.00 | 2.10 |
| time (sec) |
N/A | 0.373 | 20.224 | 0.938 | 0.000 | 0.118 | 0.000 | 0.000 | 0.067 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | B |
| verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 150 | 150 | 275 | 246 | 0 | 57 | 0 | 0 | 359 |
| N.S. |
1 | 1.00 | 1.83 | 1.64 | 0.00 | 0.38 | 0.00 | 0.00 | 2.39 |
| time (sec) |
N/A | 0.400 | 20.250 | 0.932 | 0.000 | 0.121 | 0.000 | 0.000 | 9.059 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 292 | 438 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.604 | 11.118 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 304 | 299 | 447 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.593 | 11.015 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 313 | 308 | 448 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.617 | 10.955 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 310 | 305 | 441 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.624 | 11.047 | 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 | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 221 | 221 | 384 | 521 | 0 | 396 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.74 | 2.36 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.537 | 10.862 | 1.010 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 129 | 129 | 193 | 240 | 0 | 51 | 0 | 0 | 207 |
| N.S. |
1 | 1.00 | 1.50 | 1.86 | 0.00 | 0.40 | 0.00 | 0.00 | 1.60 |
| time (sec) |
N/A | 0.369 | 10.281 | 1.036 | 0.000 | 0.122 | 0.000 | 0.000 | 0.031 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 145 | 195 | 240 | 0 | 54 | 0 | 0 | 224 |
| N.S. |
1 | 1.00 | 1.34 | 1.66 | 0.00 | 0.37 | 0.00 | 0.00 | 1.54 |
| time (sec) |
N/A | 0.378 | 10.214 | 0.934 | 0.000 | 0.113 | 0.000 | 0.000 | 9.058 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 148 | 148 | 193 | 240 | 0 | 47 | 0 | 0 | 208 |
| N.S. |
1 | 1.00 | 1.30 | 1.62 | 0.00 | 0.32 | 0.00 | 0.00 | 1.41 |
| time (sec) |
N/A | 0.368 | 10.136 | 1.001 | 0.000 | 0.110 | 0.000 | 0.000 | 0.026 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | C | F | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 140 | 140 | 195 | 240 | 0 | 45 | 0 | 0 | 223 |
| N.S. |
1 | 1.00 | 1.39 | 1.71 | 0.00 | 0.32 | 0.00 | 0.00 | 1.59 |
| time (sec) |
N/A | 0.377 | 10.229 | 0.947 | 0.000 | 0.118 | 0.000 | 0.000 | 0.034 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | F | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 260 | 260 | 369 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.559 | 10.652 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 268 | 268 | 371 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.575 | 10.578 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 277 | 277 | 372 | 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 | 0.602 | 10.470 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 273 | 273 | 372 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.610 | 10.650 | 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 | B | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 202 | 202 | 295 | 509 | 0 | 356 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.46 | 2.52 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.522 | 10.553 | 0.977 | 0.000 | 0.150 | 0.000 | 0.000 | 0.000 |