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 | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 127 | 228 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 2.13 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.706 | 1.190 | 5.629 | 0.000 | 0.088 | 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 | 135 | 135 | 136 | 250 | 0 | 157 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.85 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.859 | 1.465 | 8.363 | 0.000 | 0.093 | 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 | 161 | 163 | 149 | 272 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.93 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.978 | 1.692 | 10.485 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 279 | 439 | 0 | 215 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.49 | 2.35 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.499 | 2.126 | 64.021 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 259 | 386 | 0 | 200 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.65 | 2.46 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.470 | 1.494 | 64.270 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 157 | 371 | 0 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 2.83 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 1.387 | 62.794 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 135 | 172 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 1.31 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.437 | 1.390 | 7.908 | 0.000 | 0.091 | 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 | 131 | 131 | 137 | 250 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 1.91 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 1.306 | 6.865 | 0.000 | 0.092 | 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 | 161 | 161 | 146 | 272 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.478 | 2.209 | 11.248 | 0.000 | 0.094 | 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 | 187 | 187 | 156 | 260 | 0 | 183 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.39 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.565 | 2.622 | 12.571 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 271 | 439 | 0 | 215 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.45 | 2.35 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.538 | 2.668 | 202.273 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 278 | 386 | 0 | 202 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.73 | 2.40 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.491 | 3.663 | 202.294 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 70 | 292 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.59 | 2.47 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.471 | 2.179 | 202.988 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 150 | 194 | 0 | 162 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.22 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 3.027 | 10.709 | 0.000 | 0.099 | 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 | 161 | 161 | 146 | 272 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.559 | 3.028 | 11.147 | 0.000 | 0.104 | 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 | 187 | 187 | 156 | 260 | 0 | 183 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.39 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.519 | 3.238 | 16.315 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 168 | 285 | 413 | 0 | 248 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.74 | 2.52 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.826 | 2.515 | 5.166 | 0.000 | 0.095 | 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 | 136 | 140 | 256 | 253 | 0 | 196 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.88 | 1.86 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.764 | 1.597 | 3.144 | 0.000 | 0.093 | 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 | 110 | 116 | 180 | 200 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.64 | 1.82 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.625 | 0.921 | 2.104 | 0.000 | 0.094 | 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 | 110 | 115 | 181 | 198 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.65 | 1.80 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.623 | 0.912 | 2.932 | 0.000 | 0.094 | 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 | 112 | 116 | 311 | 199 | 0 | 186 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 2.78 | 1.78 | 0.00 | 1.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.632 | 1.472 | 3.441 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 144 | 312 | 215 | 0 | 207 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 2.23 | 1.54 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.756 | 3.073 | 4.520 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 172 | 341 | 229 | 0 | 217 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.03 | 1.36 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.815 | 2.221 | 5.244 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 211 | 287 | 413 | 0 | 328 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.42 | 2.04 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.128 | 2.010 | 9.834 | 0.000 | 0.100 | 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 | 176 | 182 | 252 | 405 | 0 | 278 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.43 | 2.30 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.029 | 1.181 | 3.487 | 0.000 | 0.094 | 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 | 149 | 159 | 242 | 257 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.62 | 1.72 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.890 | 1.084 | 2.584 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 98 | 188 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.27 | 2.44 | 0.00 | 1.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.443 | 0.538 | 3.280 | 0.000 | 0.087 | 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 | 149 | 159 | 239 | 257 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.60 | 1.72 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.901 | 1.262 | 3.717 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 158 | 259 | 257 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.70 | 1.69 | 0.00 | 1.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.893 | 1.661 | 4.526 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 187 | 257 | 270 | 0 | 287 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.44 | 1.52 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.046 | 1.634 | 5.271 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 214 | 271 | 283 | 0 | 297 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.36 | 1.42 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.092 | 1.883 | 5.860 | 0.000 | 0.103 | 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 | 234 | 363 | 555 | 0 | 354 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.64 | 2.51 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.351 | 1.853 | 4.375 | 0.000 | 0.105 | 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 | 195 | 210 | 274 | 268 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.41 | 1.37 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.227 | 1.782 | 2.813 | 0.000 | 0.099 | 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 | 195 | 210 | 363 | 270 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.86 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.234 | 1.619 | 4.513 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 210 | 363 | 270 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.86 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.202 | 1.737 | 4.796 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 210 | 272 | 270 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.39 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.221 | 2.304 | 5.168 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 210 | 378 | 270 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.94 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.221 | 2.059 | 5.615 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 238 | 285 | 283 | 0 | 363 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.29 | 1.28 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.374 | 2.353 | 5.571 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 184 | 71 | 72 | 283 | 81 | 0 | 143 | 163 |
N.S. |
1 | 1.20 | 0.46 | 0.47 | 1.85 | 0.53 | 0.00 | 0.93 | 1.07 |
time (sec) |
N/A | 0.832 | 0.139 | 6.550 | 0.327 | 0.266 | 0.000 | 0.401 | 18.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 141 | 61 | 62 | 237 | 71 | 0 | 116 | 134 |
N.S. |
1 | 1.23 | 0.53 | 0.54 | 2.06 | 0.62 | 0.00 | 1.01 | 1.17 |
time (sec) |
N/A | 0.659 | 0.087 | 6.084 | 0.314 | 0.269 | 0.000 | 0.397 | 1.859 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 98 | 51 | 52 | 190 | 59 | 0 | 87 | 84 |
N.S. |
1 | 1.27 | 0.66 | 0.68 | 2.47 | 0.77 | 0.00 | 1.13 | 1.09 |
time (sec) |
N/A | 0.499 | 0.068 | 6.507 | 0.346 | 0.269 | 0.000 | 0.370 | 0.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 39 | 40 | 98 | 40 | 0 | 58 | 43 |
N.S. |
1 | 1.00 | 1.08 | 1.11 | 2.72 | 1.11 | 0.00 | 1.61 | 1.19 |
time (sec) |
N/A | 0.351 | 0.045 | 5.780 | 0.316 | 0.258 | 0.000 | 0.388 | 0.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 70 | 88 | 146 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.23 | 1.54 | 2.56 | 2.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.365 | 0.065 | 6.852 | 0.365 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 93 | 97 | 108 | 791 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.05 | 1.17 | 8.60 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 0.093 | 14.159 | 0.407 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 111 | 145 | 1059 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.07 | 7.79 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.649 | 0.178 | 14.202 | 0.433 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 187 | 72 | 73 | 263 | 86 | 0 | 0 | 221 |
N.S. |
1 | 1.16 | 0.45 | 0.45 | 1.63 | 0.53 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.829 | 0.177 | 5.970 | 0.319 | 0.270 | 0.000 | 0.000 | 18.006 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 144 | 62 | 63 | 217 | 73 | 0 | 0 | 135 |
N.S. |
1 | 1.19 | 0.51 | 0.52 | 1.79 | 0.60 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.663 | 0.117 | 6.283 | 0.316 | 0.285 | 0.000 | 0.000 | 1.695 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 102 | 52 | 53 | 125 | 60 | 0 | 0 | 91 |
N.S. |
1 | 1.26 | 0.64 | 0.65 | 1.54 | 0.74 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.520 | 0.090 | 4.945 | 0.319 | 0.268 | 0.000 | 0.000 | 0.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 97 | 85 | 150 | 997 | 91 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.89 | 1.56 | 10.39 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 0.130 | 6.610 | 0.434 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 96 | 99 | 117 | 803 | 90 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.04 | 1.23 | 8.45 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.544 | 0.107 | 15.563 | 0.425 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 139 | 112 | 146 | 1080 | 112 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.80 | 1.04 | 7.71 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.716 | 0.205 | 14.245 | 0.429 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 182 | 126 | 179 | 1942 | 123 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.70 | 0.99 | 10.79 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.884 | 0.353 | 14.720 | 0.533 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 233 | 84 | 85 | 289 | 107 | 0 | 0 | 306 |
N.S. |
1 | 1.16 | 0.42 | 0.42 | 1.44 | 0.53 | 0.00 | 0.00 | 1.52 |
time (sec) |
N/A | 1.112 | 5.580 | 1.563 | 0.322 | 0.273 | 0.000 | 0.000 | 18.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 186 | 74 | 75 | 243 | 94 | 0 | 0 | 227 |
N.S. |
1 | 1.16 | 0.46 | 0.47 | 1.51 | 0.58 | 0.00 | 0.00 | 1.41 |
time (sec) |
N/A | 0.910 | 5.519 | 1.375 | 0.320 | 0.262 | 0.000 | 0.000 | 18.307 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 148 | 64 | 65 | 151 | 81 | 0 | 0 | 137 |
N.S. |
1 | 1.22 | 0.53 | 0.54 | 1.25 | 0.67 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.752 | 0.199 | 1.156 | 0.312 | 0.264 | 0.000 | 0.000 | 1.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 143 | 404 | 181 | 1395 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 2.93 | 1.31 | 10.11 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.746 | 6.194 | 1.310 | 0.445 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 138 | 202 | 168 | 973 | 111 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.51 | 1.25 | 7.26 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.730 | 1.967 | 16.283 | 0.426 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 142 | 202 | 154 | 1106 | 120 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.44 | 1.10 | 7.90 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.729 | 1.953 | 16.027 | 0.432 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 186 | 202 | 183 | 1964 | 133 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.12 | 1.02 | 10.91 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.923 | 2.000 | 14.777 | 0.538 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 229 | 202 | 216 | 7450 | 146 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.92 | 0.98 | 33.86 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.113 | 2.035 | 13.831 | 0.703 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 163 | 1540 | 182 | 989 | 130 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 10.00 | 1.18 | 6.42 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.820 | 7.271 | 5.937 | 0.561 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 123 | 473 | 166 | 801 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 4.01 | 1.41 | 6.79 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.620 | 6.451 | 6.408 | 0.559 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 83 | 178 | 138 | 648 | 86 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 2.17 | 1.68 | 7.90 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.445 | 1.317 | 5.883 | 0.545 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 68 | 77 | 505 | 39 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.45 | 1.64 | 10.74 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.325 | 0.082 | 5.918 | 0.580 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 75 | 171 | 108 | 689 | 70 | 0 | 0 | 0 |
N.S. |
1 | 0.80 | 1.82 | 1.15 | 7.33 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 0.553 | 4.446 | 0.597 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 112 | 257 | 133 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 2.06 | 1.06 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.697 | 0.656 | 13.543 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 208 | 1542 | 188 | 1006 | 141 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 8.16 | 0.99 | 5.32 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.996 | 7.214 | 6.083 | 0.604 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 160 | 475 | 168 | 818 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 3.15 | 1.11 | 5.42 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.720 | 6.456 | 6.797 | 0.595 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 114 | 180 | 136 | 665 | 98 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.59 | 1.20 | 5.88 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.511 | 1.543 | 6.069 | 0.583 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 76 | 71 | 83 | 522 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.36 | 1.27 | 1.48 | 9.32 | 2.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.377 | 0.070 | 6.867 | 0.630 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | C | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 116 | 173 | 108 | 698 | 89 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.65 | 1.03 | 6.65 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.638 | 0.343 | 3.976 | 0.596 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 158 | 259 | 141 | 0 | 143 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.54 | 0.84 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.839 | 0.425 | 13.815 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 208 | 591 | 233 | 0 | 161 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 3.00 | 1.18 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.003 | 6.998 | 6.635 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
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 | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 160 | 249 | 202 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.59 | 1.29 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.752 | 6.310 | 6.533 | 0.000 | 0.280 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 118 | 99 | 139 | 0 | 126 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.85 | 1.19 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.534 | 0.359 | 6.103 | 0.000 | 0.283 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 118 | 140 | 131 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.20 | 1.12 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.549 | 0.294 | 4.331 | 0.000 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 161 | 248 | 203 | 0 | 182 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.43 | 1.17 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.890 | 4.669 | 4.755 | 0.000 | 0.333 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 203 | 243 | 240 | 0 | 201 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 1.14 | 1.12 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.121 | 4.705 | 15.046 | 0.000 | 0.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 256 | 641 | 297 | 0 | 195 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.70 | 1.25 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.314 | 7.374 | 6.395 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 208 | 508 | 266 | 0 | 170 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 2.58 | 1.35 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.020 | 6.535 | 6.128 | 0.000 | 0.294 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 164 | 131 | 202 | 0 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.83 | 1.29 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.790 | 0.681 | 6.546 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 164 | 122 | 195 | 0 | 167 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.78 | 1.24 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.774 | 0.477 | 4.358 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 164 | 164 | 188 | 0 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.04 | 1.20 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.786 | 0.500 | 4.306 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 207 | 373 | 306 | 0 | 235 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.74 | 1.43 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.167 | 1.867 | 4.557 | 0.000 | 0.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 251 | 412 | 344 | 0 | 245 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.62 | 1.35 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.435 | 2.497 | 14.710 | 0.000 | 0.414 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 300 | 696 | 361 | 0 | 229 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.51 | 1.30 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.616 | 7.864 | 6.681 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 256 | 561 | 330 | 0 | 204 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 2.37 | 1.39 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.328 | 6.639 | 6.649 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 212 | 153 | 266 | 0 | 203 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.78 | 1.35 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.045 | 2.481 | 6.224 | 0.000 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 212 | 125 | 260 | 0 | 203 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.63 | 1.32 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.033 | 0.796 | 4.577 | 0.000 | 0.300 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 212 | 153 | 250 | 0 | 203 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.78 | 1.27 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.027 | 2.506 | 4.630 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 212 | 196 | 250 | 0 | 203 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.99 | 1.27 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.043 | 2.854 | 3.997 | 0.000 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 254 | 255 | 454 | 401 | 0 | 279 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.79 | 1.58 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.464 | 6.944 | 4.382 | 0.000 | 0.458 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 299 | 460 | 448 | 0 | 289 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.56 | 1.52 | 0.00 | 0.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.819 | 2.683 | 15.022 | 0.000 | 0.525 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 260 | 163 | 312 | 0 | 237 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.69 | 1.32 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.321 | 2.936 | 4.416 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 260 | 396 | 314 | 0 | 237 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.67 | 1.32 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.343 | 6.061 | 4.173 | 0.000 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 51 | 0 | 121 | 41 | 0 | 0 | 44 |
N.S. |
1 | 1.00 | 1.34 | 0.00 | 3.18 | 1.08 | 0.00 | 0.00 | 1.16 |
time (sec) |
N/A | 0.372 | 0.082 | 0.000 | 0.302 | 0.277 | 0.000 | 0.000 | 14.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 302 | 294 | 282 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.298 | 1.636 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 232 | 229 | 167 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.858 | 0.900 | 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 | 173 | 170 | 138 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 0.352 | 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 | 131 | 131 | 111 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.310 | 0.171 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |