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 | 91 | 92 | 62 | 116 | 0 | 176 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.68 | 1.27 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.422 | 0.307 | 2.148 | 0.000 | 0.102 | 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 | 97 | 98 | 64 | 189 | 0 | 118 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.66 | 1.95 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 0.342 | 2.470 | 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 | 126 | 130 | 64 | 302 | 0 | 185 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.51 | 2.40 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 0.432 | 3.832 | 0.000 | 0.102 | 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 | 66 | 295 | 0 | 142 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.39 | 1.76 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.743 | 0.054 | 18.388 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 138 | 66 | 260 | 0 | 138 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.48 | 1.90 | 0.00 | 1.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.610 | 0.073 | 15.267 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 138 | 66 | 203 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.48 | 1.48 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.595 | 0.048 | 5.944 | 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 | 105 | 105 | 66 | 188 | 0 | 111 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 1.79 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.463 | 0.029 | 4.642 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 103 | 64 | 152 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.61 | 1.45 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.472 | 0.025 | 3.122 | 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 | 85 | 87 | 64 | 120 | 0 | 195 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.75 | 1.41 | 0.00 | 2.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.481 | 0.041 | 4.331 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 91 | 66 | 192 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.74 | 2.16 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 0.043 | 4.240 | 0.000 | 0.106 | 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 | 127 | 125 | 66 | 306 | 0 | 313 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.52 | 2.41 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.625 | 0.053 | 6.764 | 0.000 | 0.104 | 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 | 114 | 119 | 66 | 375 | 0 | 187 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.58 | 3.29 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 0.067 | 7.230 | 0.000 | 0.114 | 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 | 145 | 151 | 66 | 488 | 0 | 261 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.46 | 3.37 | 0.00 | 1.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 0.101 | 11.889 | 0.000 | 0.112 | 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 | 203 | 213 | 66 | 321 | 0 | 158 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.33 | 1.58 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.910 | 0.044 | 47.621 | 0.000 | 0.125 | 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 | 170 | 179 | 66 | 264 | 0 | 153 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.39 | 1.55 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.769 | 0.071 | 44.107 | 0.000 | 0.134 | 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 | 172 | 179 | 66 | 251 | 0 | 134 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.38 | 1.46 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.766 | 0.044 | 6.291 | 0.000 | 0.107 | 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 | 146 | 66 | 214 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.47 | 1.53 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.627 | 0.029 | 4.721 | 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 | 136 | 144 | 64 | 178 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.47 | 1.31 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.613 | 0.022 | 3.640 | 0.000 | 0.107 | 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 | 106 | 118 | 64 | 146 | 0 | 225 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.60 | 1.38 | 0.00 | 2.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.664 | 0.031 | 4.485 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 120 | 66 | 219 | 0 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.60 | 1.99 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.649 | 0.032 | 4.489 | 0.000 | 0.110 | 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 | 127 | 129 | 66 | 330 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.52 | 2.60 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.636 | 0.042 | 7.437 | 0.000 | 0.115 | 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 | 127 | 133 | 66 | 401 | 0 | 187 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.52 | 3.16 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.650 | 0.045 | 7.940 | 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 | 165 | 168 | 66 | 514 | 0 | 437 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.40 | 3.12 | 0.00 | 2.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.779 | 0.069 | 12.718 | 0.000 | 0.116 | 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 | 210 | 220 | 66 | 295 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.31 | 1.40 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.974 | 0.061 | 15.675 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 187 | 66 | 258 | 0 | 139 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.37 | 1.45 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.816 | 0.041 | 10.026 | 0.000 | 0.109 | 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 | 185 | 64 | 222 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.36 | 1.25 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.807 | 0.035 | 5.702 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 168 | 64 | 190 | 0 | 252 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.41 | 1.22 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.818 | 0.039 | 6.293 | 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 | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 166 | 66 | 263 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.43 | 1.73 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.823 | 0.042 | 6.010 | 0.000 | 0.109 | 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 | 127 | 134 | 66 | 332 | 0 | 317 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.52 | 2.61 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.619 | 0.058 | 8.643 | 0.000 | 0.113 | 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 | 127 | 138 | 66 | 401 | 0 | 190 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.52 | 3.16 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.615 | 0.059 | 8.723 | 0.000 | 0.109 | 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 | 169 | 172 | 66 | 514 | 0 | 436 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.39 | 3.04 | 0.00 | 2.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.798 | 0.099 | 13.956 | 0.000 | 0.124 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 176 | 66 | 583 | 0 | 253 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.39 | 3.45 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.799 | 0.138 | 15.879 | 0.000 | 0.106 | 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 | 132 | 135 | 66 | 251 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.50 | 1.90 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.548 | 0.094 | 4.254 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 66 | 216 | 0 | 110 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 2.14 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.447 | 0.066 | 3.678 | 0.000 | 0.110 | 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 | 101 | 101 | 66 | 181 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 1.79 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.450 | 0.048 | 3.176 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 66 | 122 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.79 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.350 | 0.065 | 2.605 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 66 | 110 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.67 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.359 | 0.051 | 1.424 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 66 | 118 | 0 | 160 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.59 | 0.00 | 2.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 0.031 | 1.881 | 0.000 | 0.105 | 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 | 78 | 78 | 64 | 190 | 0 | 110 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 2.44 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.364 | 0.025 | 2.313 | 0.000 | 0.097 | 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 | 112 | 110 | 63 | 306 | 0 | 178 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.56 | 2.73 | 0.00 | 1.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.462 | 0.039 | 3.704 | 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 | 112 | 114 | 66 | 375 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.59 | 3.35 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.472 | 0.043 | 4.244 | 0.000 | 0.149 | 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 | 143 | 146 | 66 | 488 | 0 | 212 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.46 | 3.41 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.602 | 0.054 | 6.224 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 151 | 66 | 203 | 0 | 113 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.46 | 1.40 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.584 | 0.110 | 20.082 | 0.000 | 0.107 | 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 | 114 | 117 | 66 | 190 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.58 | 1.67 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.468 | 0.066 | 19.346 | 0.000 | 0.120 | 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 | 112 | 113 | 66 | 155 | 0 | 89 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.59 | 1.38 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 0.046 | 18.698 | 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 | 79 | 79 | 66 | 120 | 0 | 196 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.52 | 0.00 | 2.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 0.061 | 19.057 | 0.000 | 0.106 | 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 | 83 | 83 | 66 | 192 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 2.31 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.381 | 0.049 | 2.857 | 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 | 116 | 116 | 66 | 304 | 0 | 266 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 2.62 | 0.00 | 2.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.504 | 0.032 | 4.392 | 0.000 | 0.105 | 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 | 116 | 120 | 64 | 372 | 0 | 164 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.55 | 3.21 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 0.035 | 5.207 | 0.000 | 0.110 | 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 | 150 | 152 | 66 | 488 | 0 | 237 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.44 | 3.25 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.660 | 0.045 | 7.234 | 0.000 | 0.122 | 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 | 150 | 156 | 66 | 557 | 0 | 243 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.44 | 3.71 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.662 | 0.052 | 8.592 | 0.000 | 0.114 | 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 | 181 | 188 | 66 | 670 | 0 | 269 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.36 | 3.70 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.822 | 0.077 | 10.375 | 0.000 | 0.127 | 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 | 169 | 181 | 66 | 251 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.39 | 1.49 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.753 | 0.245 | 185.835 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 147 | 66 | 216 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.48 | 1.57 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.639 | 0.146 | 172.120 | 0.000 | 0.112 | 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 | 132 | 143 | 66 | 181 | 0 | 102 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.50 | 1.37 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.633 | 0.121 | 172.105 | 0.000 | 0.106 | 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 | 103 | 110 | 66 | 146 | 0 | 223 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.64 | 1.42 | 0.00 | 2.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.508 | 0.065 | 173.842 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 112 | 66 | 219 | 0 | 143 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.62 | 2.05 | 0.00 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.516 | 0.057 | 175.132 | 0.000 | 0.113 | 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 | 118 | 120 | 66 | 332 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.56 | 2.81 | 0.00 | 2.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.516 | 0.054 | 185.829 | 0.000 | 0.104 | 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 | 118 | 124 | 66 | 401 | 0 | 171 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.56 | 3.40 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.516 | 0.047 | 5.244 | 0.000 | 0.110 | 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 | 153 | 158 | 66 | 512 | 0 | 372 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.43 | 3.35 | 0.00 | 2.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.668 | 0.032 | 7.738 | 0.000 | 0.099 | 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 | 153 | 162 | 66 | 580 | 0 | 225 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.43 | 3.79 | 0.00 | 1.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.674 | 0.033 | 8.719 | 0.000 | 0.101 | 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 | 194 | 66 | 696 | 0 | 295 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.35 | 3.72 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.873 | 0.044 | 11.148 | 0.000 | 0.117 | 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 | 180 | 193 | 66 | 225 | 0 | 118 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.37 | 1.25 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.794 | 0.237 | 3.894 | 0.000 | 0.109 | 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 | 149 | 159 | 66 | 190 | 0 | 252 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.44 | 1.28 | 0.00 | 1.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.674 | 0.139 | 4.756 | 0.000 | 0.117 | 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 | 145 | 157 | 66 | 263 | 0 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.46 | 1.81 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.670 | 0.110 | 4.330 | 0.000 | 0.104 | 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 | 120 | 125 | 66 | 332 | 0 | 317 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.55 | 2.77 | 0.00 | 2.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 0.066 | 5.687 | 0.000 | 0.110 | 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 | 120 | 129 | 66 | 401 | 0 | 188 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.55 | 3.34 | 0.00 | 1.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.531 | 0.053 | 6.545 | 0.000 | 0.106 | 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 | 154 | 162 | 66 | 514 | 0 | 436 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.43 | 3.34 | 0.00 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.705 | 0.057 | 708.681 | 0.000 | 0.122 | 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 | 154 | 166 | 66 | 583 | 0 | 230 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.43 | 3.79 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.690 | 0.050 | 9.137 | 0.000 | 0.104 | 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 | 191 | 200 | 66 | 694 | 0 | 472 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.35 | 3.63 | 0.00 | 2.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.849 | 0.042 | 11.763 | 0.000 | 0.113 | 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 | 191 | 204 | 66 | 762 | 0 | 279 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.35 | 3.99 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.864 | 0.044 | 12.185 | 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(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 236 | 66 | 878 | 0 | 351 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.29 | 3.90 | 0.00 | 1.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.040 | 0.060 | 13.885 | 0.000 | 0.117 | 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 | 236 | 249 | 77 | 303 | 0 | 917 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.33 | 1.28 | 0.00 | 3.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.976 | 0.216 | 6.394 | 0.000 | 0.429 | 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 | 194 | 210 | 77 | 276 | 0 | 966 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.40 | 1.42 | 0.00 | 4.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.775 | 0.162 | 6.704 | 0.000 | 0.415 | 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 | 75 | 134 | 0 | 885 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.83 | 0.00 | 5.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.605 | 0.136 | 1.995 | 0.000 | 0.422 | 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 | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 31 | 131 | 38 | 0 | 0 | 30 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 3.85 | 1.12 | 0.00 | 0.00 | 0.88 |
time (sec) |
N/A | 0.232 | 0.149 | 2.558 | 0.302 | 0.263 | 0.000 | 0.000 | 4.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 46 | 48 | 206 | 48 | 0 | 0 | 61 |
N.S. |
1 | 1.00 | 0.62 | 0.65 | 2.78 | 0.65 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.372 | 0.199 | 2.567 | 0.303 | 0.284 | 0.000 | 0.000 | 5.197 |
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 | 115 | 118 | 56 | 57 | 282 | 58 | 0 | 0 | 97 |
N.S. |
1 | 1.03 | 0.49 | 0.50 | 2.45 | 0.50 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.528 | 0.265 | 2.566 | 0.316 | 0.282 | 0.000 | 0.000 | 5.825 |
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 | 154 | 160 | 74 | 74 | 357 | 70 | 0 | 0 | 129 |
N.S. |
1 | 1.04 | 0.48 | 0.48 | 2.32 | 0.45 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.719 | 0.354 | 2.743 | 0.320 | 0.277 | 0.000 | 0.000 | 7.149 |
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 | 319 | 343 | 78 | 360 | 0 | 1186 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.24 | 1.13 | 0.00 | 3.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.384 | 0.113 | 6.188 | 0.000 | 0.470 | 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 | 278 | 292 | 78 | 332 | 0 | 981 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.28 | 1.19 | 0.00 | 3.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.174 | 0.086 | 6.570 | 0.000 | 0.478 | 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 | 243 | 253 | 77 | 305 | 0 | 1051 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.32 | 1.26 | 0.00 | 4.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.991 | 0.078 | 6.496 | 0.000 | 0.478 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | C | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 202 | 75 | 291 | 0 | 970 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.38 | 1.47 | 0.00 | 4.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.774 | 0.068 | 6.868 | 0.000 | 0.452 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 213 | 75 | 321 | 0 | 1053 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.36 | 1.53 | 0.00 | 5.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.810 | 0.075 | 2.580 | 0.000 | 0.455 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 64 | 131 | 45 | 0 | 0 | 47 |
N.S. |
1 | 1.00 | 1.00 | 1.78 | 3.64 | 1.25 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.232 | 0.065 | 2.730 | 0.301 | 0.282 | 0.000 | 0.000 | 5.743 |
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 | 74 | 74 | 72 | 52 | 207 | 69 | 0 | 0 | 71 |
N.S. |
1 | 1.00 | 0.97 | 0.70 | 2.80 | 0.93 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.366 | 0.087 | 2.560 | 0.323 | 0.271 | 0.000 | 0.000 | 5.942 |
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 | 113 | 116 | 64 | 68 | 281 | 84 | 0 | 0 | 116 |
N.S. |
1 | 1.03 | 0.57 | 0.60 | 2.49 | 0.74 | 0.00 | 0.00 | 1.03 |
time (sec) |
N/A | 0.562 | 0.159 | 2.516 | 0.320 | 0.306 | 0.000 | 0.000 | 6.956 |
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 | 152 | 158 | 74 | 84 | 357 | 98 | 0 | 0 | 261 |
N.S. |
1 | 1.04 | 0.49 | 0.55 | 2.35 | 0.64 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.723 | 0.166 | 2.672 | 0.331 | 0.290 | 0.000 | 0.000 | 11.688 |
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 | 323 | 335 | 77 | 360 | 0 | 1020 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.24 | 1.11 | 0.00 | 3.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.376 | 0.185 | 5.839 | 0.000 | 0.471 | 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 | 286 | 296 | 78 | 333 | 0 | 1104 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.27 | 1.16 | 0.00 | 3.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.131 | 0.079 | 6.754 | 0.000 | 0.447 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 245 | 76 | 324 | 0 | 1002 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.31 | 1.31 | 0.00 | 4.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.958 | 0.061 | 7.548 | 0.000 | 0.446 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 254 | 75 | 307 | 0 | 1093 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.31 | 1.28 | 0.00 | 4.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.968 | 0.101 | 6.719 | 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 | C | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 207 | 77 | 289 | 0 | 1120 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.38 | 1.42 | 0.00 | 5.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.797 | 0.119 | 2.938 | 0.000 | 0.538 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 52 | 131 | 107 | 0 | 0 | 65 |
N.S. |
1 | 1.00 | 1.00 | 1.44 | 3.64 | 2.97 | 0.00 | 0.00 | 1.81 |
time (sec) |
N/A | 0.231 | 0.088 | 2.744 | 0.311 | 0.295 | 0.000 | 0.000 | 6.147 |
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 | 76 | 76 | 54 | 77 | 207 | 75 | 0 | 0 | 96 |
N.S. |
1 | 1.00 | 0.71 | 1.01 | 2.72 | 0.99 | 0.00 | 0.00 | 1.26 |
time (sec) |
N/A | 0.391 | 0.109 | 2.656 | 0.301 | 0.295 | 0.000 | 0.000 | 6.610 |
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 | 113 | 116 | 64 | 74 | 282 | 100 | 0 | 0 | 119 |
N.S. |
1 | 1.03 | 0.57 | 0.65 | 2.50 | 0.88 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.525 | 0.125 | 2.727 | 0.313 | 0.283 | 0.000 | 0.000 | 7.061 |
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 | 150 | 160 | 74 | 98 | 357 | 120 | 0 | 0 | 232 |
N.S. |
1 | 1.07 | 0.49 | 0.65 | 2.38 | 0.80 | 0.00 | 0.00 | 1.55 |
time (sec) |
N/A | 0.715 | 0.164 | 2.653 | 0.320 | 0.314 | 0.000 | 0.000 | 12.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 257 | 77 | 326 | 0 | 1147 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.32 | 1.34 | 0.00 | 4.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.987 | 0.104 | 6.767 | 0.000 | 0.482 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 206 | 77 | 288 | 0 | 971 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.38 | 1.44 | 0.00 | 4.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.775 | 0.074 | 6.791 | 0.000 | 0.479 | 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 | 169 | 169 | 77 | 133 | 0 | 877 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.46 | 0.79 | 0.00 | 5.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.623 | 0.050 | 2.210 | 0.000 | 0.448 | 0.000 | 0.000 | 0.000 |