Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | A | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 99 | 253 | 0 | 380 | 121 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 1.99 | 0.00 | 2.99 | 0.95 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.061 | 0.037 | 0.000 | 0.349 | 1.641 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | A | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 88 | 205 | 0 | 263 | 95 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 2.03 | 0.00 | 2.60 | 0.94 | 0.00 | -0.01 |
time (sec) |
N/A | 0.026 | 0.038 | 0.009 | 0.000 | 0.343 | 0.607 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | A | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 76 | 157 | 0 | 168 | 66 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 2.09 | 0.00 | 2.24 | 0.88 | 0.00 | -0.01 |
time (sec) |
N/A | 0.017 | 0.024 | 0.007 | 0.000 | 0.352 | 0.329 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | A | F | F | F | F(-1) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 0 | 209 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.104 | 0.030 | 0.113 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 50 | 111 | 50 | 129 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 2.09 | 0.94 | 2.43 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.013 | 0.023 | 0.007 | 0.287 | 0.355 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 63 | 62 | 61 | 176 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.80 | 0.78 | 0.77 | 2.23 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.018 | 0.030 | 0.007 | 0.277 | 0.353 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 74 | 110 | 102 | 246 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 1.05 | 0.97 | 2.34 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.025 | 0.033 | 0.007 | 0.260 | 0.356 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 85 | 158 | 123 | 340 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.65 | 1.21 | 0.94 | 2.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.032 | 0.040 | 0.010 | 0.285 | 0.363 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | A | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 79 | 224 | 162 | 442 | 116 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 1.96 | 1.42 | 3.88 | 1.02 | 0.00 | -0.01 |
time (sec) |
N/A | 0.043 | 0.039 | 0.011 | 0.260 | 0.364 | 1.901 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | A | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 68 | 176 | 132 | 315 | 90 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 1.93 | 1.45 | 3.46 | 0.99 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.039 | 0.010 | 0.281 | 0.356 | 0.806 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | A | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 56 | 128 | 102 | 209 | 65 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 1.88 | 1.50 | 3.07 | 0.96 | 0.00 | -0.01 |
time (sec) |
N/A | 0.026 | 0.034 | 0.008 | 0.265 | 0.366 | 0.428 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 76 | 66 | 129 | 36 | 59 | 32 |
N.S. | 1 | 1.00 | 1.00 | 1.90 | 1.65 | 3.22 | 0.90 | 1.48 | 0.80 |
time (sec) |
N/A | 0.006 | 0.007 | 0.005 | 0.279 | 0.346 | 0.330 | 0.416 | 1.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 61 | 84 | 0 | 407 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.11 | 1.53 | 0.00 | 7.40 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.021 | 0.030 | 0.006 | 0.000 | 0.371 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 92 | 123 | 0 | 571 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 1.45 | 0.00 | 6.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.030 | 0.058 | 0.007 | 0.000 | 0.380 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 107 | 171 | 0 | 727 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 1.54 | 0.00 | 6.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.077 | 0.007 | 0.000 | 0.388 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 161 | 0 | 0 | 402 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 2.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.080 | 0.332 | 0.231 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 147 | 0 | 0 | 288 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 1.71 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.060 | 0.282 | 0.217 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 135 | 0 | 0 | 188 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 1.32 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.203 | 0.240 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 111 | 0 | 0 | 112 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.99 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.039 | 0.083 | 0.178 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 142 | 0 | 0 | 187 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 1.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 0.246 | 0.162 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 154 | 0 | 0 | 260 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.50 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.062 | 0.205 | 0.289 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 163 | 0 | 0 | 355 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 1.77 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.073 | 0.282 | 0.293 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 124 | 0 | 0 | 312 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.42 | 0.00 | 0.00 | 1.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.135 | 0.086 | 0.307 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 109 | 0 | 0 | 220 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.41 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.112 | 0.063 | 0.306 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 85 | 0 | 0 | 128 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.37 | 0.00 | 0.00 | 0.55 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.095 | 0.072 | 0.296 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 272 | 272 | 118 | 0 | 0 | 208 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.43 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.113 | 0.106 | 0.290 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 302 | 302 | 131 | 0 | 0 | 281 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.43 | 0.00 | 0.00 | 0.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.135 | 0.068 | 0.289 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 39 | 39 | 37 | 59 | 60 | 223 | 90 |
N.S. | 1 | 1.00 | 0.89 | 0.89 | 0.84 | 1.34 | 1.36 | 5.07 | 2.05 |
time (sec) |
N/A | 0.035 | 0.015 | 0.043 | 0.248 | 0.366 | 0.982 | 0.407 | 0.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 42 | 121 | 40 | 109 | 0 | 124 | 56 |
N.S. |
1 | 1.00 | 0.89 | 2.57 | 0.85 | 2.32 | 0.00 | 2.64 | 1.19 |
time (sec) |
N/A | 0.035 | 0.027 | 0.050 | 0.258 | 0.354 | 0.000 | 0.405 | 1.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.031 | 0.066 | 0.111 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 409 | 409 | 482 | 1445 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.18 | 3.53 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.364 | 0.122 | 0.314 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 324 | 674 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.21 | 2.51 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.224 | 0.074 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 43 | 117 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.48 | 1.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.038 | 0.189 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.032 | 0.069 | 0.112 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.032 | 0.531 | 0.112 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 34 | 41 | 38 | 62 | 0 | 43 | 96 |
N.S. | 1 | 1.00 | 0.92 | 1.11 | 1.03 | 1.68 | 0.00 | 1.16 | 2.59 |
time (sec) |
N/A | 0.023 | 0.043 | 0.189 | 0.261 | 0.346 | 0.000 | 0.402 | 1.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 20 | 20 | 19 | 13 | 19 | 13 | 19 |
N.S. | 1 | 1.00 | 0.87 | 0.87 | 0.83 | 0.57 | 0.83 | 0.57 | 0.83 |
time (sec) |
N/A | 0.006 | 0.013 | 0.051 | 0.298 | 0.340 | 0.115 | 0.393 | 1.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 20 | 20 | 19 | 13 | 39 | 13 | 19 |
N.S. | 1 | 1.00 | 0.87 | 0.87 | 0.83 | 0.57 | 1.70 | 0.57 | 0.83 |
time (sec) |
N/A | 0.005 | 0.011 | 0.049 | 0.289 | 0.340 | 0.105 | 0.395 | 0.976 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 15 | 16 | 10 | 19 | 10 | 16 |
N.S. | 1 | 1.00 | 1.12 | 0.94 | 1.00 | 0.62 | 1.19 | 0.62 | 1.00 |
time (sec) |
N/A | 0.002 | 0.006 | 0.100 | 0.291 | 0.330 | 0.058 | 0.391 | 0.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 19 | 23 | 34 | 8 | 0 | 9 | 58 |
N.S. | 1 | 1.00 | 0.90 | 1.10 | 1.62 | 0.38 | 0.00 | 0.43 | 2.76 |
time (sec) |
N/A | 0.025 | 0.011 | 0.056 | 0.257 | 0.338 | 0.000 | 0.386 | 1.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 18 | 18 | 17 | 13 | 14 | 12 | 17 |
N.S. | 1 | 1.00 | 1.06 | 1.06 | 1.00 | 0.76 | 0.82 | 0.71 | 1.00 |
time (sec) |
N/A | 0.010 | 0.013 | 0.068 | 0.295 | 0.355 | 0.084 | 0.383 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 18 | 20 | 19 | 11 | 19 | 11 | 16 |
N.S. | 1 | 1.00 | 0.78 | 0.87 | 0.83 | 0.48 | 0.83 | 0.48 | 0.70 |
time (sec) |
N/A | 0.006 | 0.012 | 0.065 | 0.304 | 0.327 | 0.192 | 0.383 | 0.951 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 20 | 20 | 19 | 13 | 20 | 13 | 19 |
N.S. | 1 | 1.00 | 0.87 | 0.87 | 0.83 | 0.57 | 0.87 | 0.57 | 0.83 |
time (sec) |
N/A | 0.006 | 0.012 | 0.060 | 0.298 | 0.318 | 0.250 | 0.388 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 62 | 98 | 73 | 161 | 0 | 0 | 203 |
N.S. | 1 | 1.00 | 0.87 | 1.38 | 1.03 | 2.27 | 0.00 | 0.00 | 2.86 |
time (sec) |
N/A | 0.024 | 0.083 | 0.693 | 0.303 | 0.359 | 0.000 | 0.000 | 1.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 37 | 38 | 36 | 24 | 37 | 24 | 36 |
N.S. | 1 | 1.00 | 0.88 | 0.90 | 0.86 | 0.57 | 0.88 | 0.57 | 0.86 |
time (sec) |
N/A | 0.017 | 0.021 | 35.963 | 0.344 | 0.337 | 0.261 | 0.396 | 0.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 37 | 38 | 36 | 24 | 37 | 24 | 36 |
N.S. | 1 | 1.00 | 0.88 | 0.90 | 0.86 | 0.57 | 0.88 | 0.57 | 0.86 |
time (sec) |
N/A | 0.016 | 0.036 | 30.386 | 0.335 | 0.324 | 0.171 | 0.402 | 0.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 74 | 38 | 36 | 24 | 41 | 24 | 36 |
N.S. | 1 | 1.00 | 2.18 | 1.12 | 1.06 | 0.71 | 1.21 | 0.71 | 1.06 |
time (sec) |
N/A | 0.035 | 0.041 | 30.592 | 0.328 | 0.326 | 0.148 | 0.408 | 0.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 33 | 20 | 20 | 20 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 2.06 | 1.25 | 1.25 | 1.25 | 2.06 |
time (sec) |
N/A | 0.005 | 0.008 | 0.207 | 0.340 | 0.328 | 0.090 | 0.399 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 53 | 78 | 20 | 20 | 0 | 21 | 183 |
N.S. | 1 | 1.00 | 1.08 | 1.59 | 0.41 | 0.41 | 0.00 | 0.43 | 3.73 |
time (sec) |
N/A | 0.056 | 0.035 | 0.135 | 0.662 | 0.332 | 0.000 | 0.401 | 0.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 37 | 41 | 54 | 24 | 0 | 21 | 198 |
N.S. | 1 | 1.00 | 0.95 | 1.05 | 1.38 | 0.62 | 0.00 | 0.54 | 5.08 |
time (sec) |
N/A | 0.043 | 0.035 | 0.098 | 0.316 | 0.344 | 0.000 | 0.392 | 0.187 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 42 | 35 | 34 | 26 | 32 | 22 | 34 |
N.S. | 1 | 1.00 | 1.17 | 0.97 | 0.94 | 0.72 | 0.89 | 0.61 | 0.94 |
time (sec) |
N/A | 0.026 | 0.024 | 0.215 | 0.343 | 0.329 | 0.198 | 0.391 | 0.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 34 | 38 | 36 | 22 | 37 | 22 | 32 |
N.S. | 1 | 1.00 | 1.10 | 1.23 | 1.16 | 0.71 | 1.19 | 0.71 | 1.03 |
time (sec) |
N/A | 0.014 | 0.033 | 0.201 | 0.334 | 0.319 | 0.267 | 0.392 | 0.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 64 | 37 | 38 | 36 | 24 | 39 | 24 | 36 |
N.S. | 1 | 1.52 | 0.88 | 0.90 | 0.86 | 0.57 | 0.93 | 0.57 | 0.86 |
time (sec) |
N/A | 0.038 | 0.022 | 0.214 | 0.347 | 0.348 | 0.385 | 0.384 | 0.955 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 97 | 177 | 109 | 300 | 0 | 0 | 332 |
N.S. | 1 | 1.00 | 0.88 | 1.61 | 0.99 | 2.73 | 0.00 | 0.00 | 3.02 |
time (sec) |
N/A | 0.064 | 0.097 | 6.039 | 0.348 | 0.374 | 0.000 | 0.000 | 1.233 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 54 | 56 | 54 | 35 | 58 | 35 | 53 |
N.S. | 1 | 1.00 | 0.89 | 0.92 | 0.89 | 0.57 | 0.95 | 0.57 | 0.87 |
time (sec) |
N/A | 0.032 | 0.019 | 0.025 | 0.376 | 0.324 | 0.574 | 0.384 | 1.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 54 | 56 | 54 | 35 | 56 | 35 | 53 |
N.S. | 1 | 1.00 | 1.02 | 1.06 | 1.02 | 0.66 | 1.06 | 0.66 | 1.00 |
time (sec) |
N/A | 0.026 | 0.023 | 0.023 | 0.374 | 0.328 | 0.443 | 0.384 | 0.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 99 | 56 | 54 | 34 | 41 | 34 | 53 |
N.S. | 1 | 1.00 | 2.91 | 1.65 | 1.59 | 1.00 | 1.21 | 1.00 | 1.56 |
time (sec) |
N/A | 0.010 | 0.046 | 29.553 | 0.370 | 0.328 | 0.233 | 0.383 | 0.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 51 | 31 | 20 | 31 | 47 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 3.19 | 1.94 | 1.25 | 1.94 | 2.94 |
time (sec) |
N/A | 0.003 | 0.007 | 30.429 | 0.382 | 0.318 | 0.126 | 0.385 | 0.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 104 | 188 | 31 | 31 | 0 | 32 | 306 |
N.S. | 1 | 1.00 | 1.35 | 2.44 | 0.40 | 0.40 | 0.00 | 0.42 | 3.97 |
time (sec) |
N/A | 0.063 | 0.046 | 0.427 | 0.657 | 0.337 | 0.000 | 0.366 | 0.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 62 | 96 | 65 | 36 | 0 | 33 | 415 |
N.S. | 1 | 1.00 | 0.91 | 1.41 | 0.96 | 0.53 | 0.00 | 0.49 | 6.10 |
time (sec) |
N/A | 0.030 | 0.032 | 0.244 | 0.694 | 0.334 | 0.000 | 0.383 | 1.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 66 | 59 | 72 | 37 | 0 | 31 | 365 |
N.S. | 1 | 1.00 | 1.10 | 0.98 | 1.20 | 0.62 | 0.00 | 0.52 | 6.08 |
time (sec) |
N/A | 0.028 | 0.033 | 0.272 | 0.348 | 0.324 | 0.000 | 0.400 | 0.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 60 | 52 | 52 | 37 | 51 | 35 | 51 |
N.S. | 1 | 1.00 | 1.09 | 0.95 | 0.95 | 0.67 | 0.93 | 0.64 | 0.93 |
time (sec) |
N/A | 0.027 | 0.018 | 0.932 | 0.372 | 0.333 | 0.287 | 0.387 | 1.004 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 50 | 56 | 53 | 33 | 56 | 33 | 48 |
N.S. | 1 | 1.00 | 1.61 | 1.81 | 1.71 | 1.06 | 1.81 | 1.06 | 1.55 |
time (sec) |
N/A | 0.009 | 0.019 | 0.954 | 0.388 | 0.338 | 0.359 | 0.389 | 0.969 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 54 | 56 | 54 | 35 | 60 | 35 | 53 |
N.S. | 1 | 1.00 | 0.84 | 0.88 | 0.84 | 0.55 | 0.94 | 0.55 | 0.83 |
time (sec) |
N/A | 0.022 | 0.024 | 0.908 | 0.383 | 0.312 | 0.551 | 0.387 | 0.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 137 | 278 | 145 | 483 | 0 | 0 | 479 |
N.S. | 1 | 1.00 | 0.89 | 1.81 | 0.94 | 3.14 | 0.00 | 0.00 | 3.11 |
time (sec) |
N/A | 0.068 | 0.113 | 33.391 | 0.386 | 0.350 | 0.000 | 0.000 | 1.341 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 71 | 74 | 72 | 46 | 75 | 46 | 242 |
N.S. | 1 | 1.00 | 0.89 | 0.92 | 0.90 | 0.58 | 0.94 | 0.58 | 3.02 |
time (sec) |
N/A | 0.045 | 0.040 | 0.026 | 0.402 | 0.340 | 2.491 | 0.383 | 1.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 71 | 74 | 72 | 46 | 76 | 46 | 242 |
N.S. | 1 | 1.00 | 0.89 | 0.92 | 0.90 | 0.58 | 0.95 | 0.58 | 3.02 |
time (sec) |
N/A | 0.043 | 0.024 | 0.026 | 0.414 | 0.323 | 1.571 | 0.377 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 71 | 74 | 72 | 46 | 78 | 46 | 77 |
N.S. | 1 | 1.00 | 0.89 | 0.92 | 0.90 | 0.58 | 0.98 | 0.58 | 0.96 |
time (sec) |
N/A | 0.040 | 0.024 | 0.026 | 0.421 | 0.365 | 1.040 | 0.396 | 1.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 71 | 74 | 72 | 45 | 75 | 45 | 70 |
N.S. | 1 | 1.00 | 0.99 | 1.03 | 1.00 | 0.62 | 1.04 | 0.62 | 0.97 |
time (sec) |
N/A | 0.037 | 0.018 | 0.028 | 0.415 | 0.378 | 0.683 | 0.390 | 1.020 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 71 | 74 | 72 | 45 | 75 | 45 | 70 |
N.S. | 1 | 1.00 | 1.34 | 1.40 | 1.36 | 0.85 | 1.42 | 0.85 | 1.32 |
time (sec) |
N/A | 0.021 | 0.039 | 0.015 | 0.425 | 0.330 | 0.423 | 0.393 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 125 | 74 | 72 | 46 | 41 | 46 | 70 |
N.S. | 1 | 1.00 | 3.68 | 2.18 | 2.12 | 1.35 | 1.21 | 1.35 | 2.06 |
time (sec) |
N/A | 0.010 | 0.056 | 31.814 | 0.416 | 0.325 | 0.414 | 0.392 | 1.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 69 | 42 | 20 | 42 | 67 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 4.31 | 2.62 | 1.25 | 2.62 | 4.19 |
time (sec) |
N/A | 0.004 | 0.007 | 34.815 | 0.415 | 0.346 | 0.287 | 0.383 | 0.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 175 | 358 | 42 | 42 | 0 | 43 | 423 |
N.S. | 1 | 1.00 | 1.67 | 3.41 | 0.40 | 0.40 | 0.00 | 0.41 | 4.03 |
time (sec) |
N/A | 0.055 | 0.073 | 1.200 | 0.667 | 0.335 | 0.000 | 0.377 | 0.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 85 | 206 | 77 | 47 | 0 | 44 | 553 |
N.S. | 1 | 1.00 | 0.89 | 2.17 | 0.81 | 0.49 | 0.00 | 0.46 | 5.82 |
time (sec) |
N/A | 0.046 | 0.057 | 0.703 | 0.705 | 0.329 | 0.000 | 0.380 | 0.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 81 | 114 | 83 | 47 | 0 | 43 | 672 |
N.S. | 1 | 1.00 | 0.93 | 1.31 | 0.95 | 0.54 | 0.00 | 0.49 | 7.72 |
time (sec) |
N/A | 0.043 | 0.027 | 0.668 | 0.736 | 0.343 | 0.000 | 0.384 | 1.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 82 | 77 | 91 | 48 | 0 | 42 | 571 |
N.S. | 1 | 1.00 | 1.06 | 1.00 | 1.18 | 0.62 | 0.00 | 0.55 | 7.42 |
time (sec) |
N/A | 0.041 | 0.034 | 1.000 | 0.381 | 0.326 | 0.000 | 0.389 | 1.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 78 | 69 | 72 | 48 | 70 | 46 | 68 |
N.S. | 1 | 1.00 | 1.05 | 0.93 | 0.97 | 0.65 | 0.95 | 0.62 | 0.92 |
time (sec) |
N/A | 0.039 | 0.026 | 3.361 | 0.425 | 0.314 | 0.362 | 0.394 | 1.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 66 | 74 | 70 | 44 | 75 | 44 | 64 |
N.S. | 1 | 1.00 | 2.13 | 2.39 | 2.26 | 1.42 | 2.42 | 1.42 | 2.06 |
time (sec) |
N/A | 0.010 | 0.038 | 2.996 | 0.423 | 0.322 | 0.515 | 0.400 | 1.196 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 71 | 74 | 72 | 46 | 78 | 46 | 70 |
N.S. | 1 | 1.00 | 1.11 | 1.16 | 1.12 | 0.72 | 1.22 | 0.72 | 1.09 |
time (sec) |
N/A | 0.022 | 0.024 | 3.063 | 0.430 | 0.328 | 0.796 | 0.391 | 1.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 71 | 74 | 72 | 46 | 80 | 46 | 70 |
N.S. | 1 | 1.00 | 0.72 | 0.76 | 0.73 | 0.47 | 0.82 | 0.47 | 0.71 |
time (sec) |
N/A | 0.037 | 0.025 | 3.009 | 0.426 | 0.312 | 1.164 | 0.391 | 1.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 132 | 71 | 74 | 72 | 46 | 76 | 46 | 70 |
N.S. | 1 | 1.65 | 0.89 | 0.92 | 0.90 | 0.58 | 0.95 | 0.58 | 0.88 |
time (sec) |
N/A | 0.053 | 0.025 | 3.069 | 0.423 | 0.316 | 1.556 | 0.395 | 1.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 71 | 74 | 72 | 46 | 76 | 46 | 70 |
N.S. | 1 | 1.00 | 0.89 | 0.92 | 0.90 | 0.58 | 0.95 | 0.58 | 0.88 |
time (sec) |
N/A | 0.039 | 0.044 | 3.072 | 0.428 | 0.331 | 2.239 | 0.387 | 1.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 71 | 74 | 72 | 46 | 78 | 46 | 70 |
N.S. | 1 | 1.00 | 0.89 | 0.92 | 0.90 | 0.58 | 0.98 | 0.58 | 0.88 |
time (sec) |
N/A | 0.037 | 0.025 | 3.096 | 0.420 | 0.333 | 3.534 | 0.379 | 1.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 177 | 110 | 110 | 68 | 41 | 68 | 104 |
N.S. | 1 | 1.00 | 5.21 | 3.24 | 3.24 | 2.00 | 1.21 | 2.00 | 3.06 |
time (sec) |
N/A | 0.010 | 0.076 | 51.618 | 0.517 | 0.343 | 1.241 | 0.380 | 1.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.018 | 0.060 | 0.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 79 | 202 | 42 | 41 | 0 | 43 | 354 |
N.S. | 1 | 1.00 | 0.98 | 2.49 | 0.52 | 0.51 | 0.00 | 0.53 | 4.37 |
time (sec) |
N/A | 0.044 | 0.032 | 2.387 | 0.547 | 0.421 | 0.000 | 0.406 | 0.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 55 | 111 | 29 | 29 | 0 | 30 | 234 |
N.S. | 1 | 1.00 | 0.98 | 1.98 | 0.52 | 0.52 | 0.00 | 0.54 | 4.18 |
time (sec) |
N/A | 0.024 | 0.030 | 0.648 | 0.550 | 0.356 | 0.000 | 0.378 | 0.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 49 | 18 | 17 | 0 | 19 | 108 |
N.S. | 1 | 1.00 | 1.00 | 1.58 | 0.58 | 0.55 | 0.00 | 0.61 | 3.48 |
time (sec) |
N/A | 0.011 | 0.024 | 0.187 | 0.528 | 0.338 | 0.000 | 0.398 | 0.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 13 | 10 | 17 | 11 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.08 | 0.83 | 1.42 | 0.92 | 1.00 |
time (sec) |
N/A | 0.003 | 0.035 | 0.065 | 0.465 | 0.342 | 12.130 | 0.402 | 1.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 29 | 43 | 18 | 16 | 0 | 20 | 107 |
N.S. | 1 | 1.00 | 0.66 | 0.98 | 0.41 | 0.36 | 0.00 | 0.45 | 2.43 |
time (sec) |
N/A | 0.020 | 0.019 | 7.723 | 0.520 | 0.336 | 0.000 | 0.387 | 2.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 45 | 64 | 28 | 26 | 0 | 30 | 210 |
N.S. | 1 | 1.00 | 0.69 | 0.98 | 0.43 | 0.40 | 0.00 | 0.46 | 3.23 |
time (sec) |
N/A | 0.031 | 0.023 | 0.021 | 0.534 | 0.339 | 0.000 | 0.387 | 2.832 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 66 | 87 | 40 | 41 | 0 | 45 | 286 |
N.S. | 1 | 1.00 | 0.72 | 0.95 | 0.43 | 0.45 | 0.00 | 0.49 | 3.11 |
time (sec) |
N/A | 0.049 | 0.025 | 0.020 | 0.529 | 0.336 | 0.000 | 0.395 | 2.893 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.026 | 0.485 | 0.024 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 106 | 350 | 70 | 73 | 0 | 62 | 669 |
N.S. | 1 | 1.00 | 1.08 | 3.57 | 0.71 | 0.74 | 0.00 | 0.63 | 6.83 |
time (sec) |
N/A | 0.061 | 0.064 | 2.874 | 0.705 | 0.324 | 0.000 | 0.390 | 0.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 83 | 223 | 59 | 62 | 0 | 48 | 490 |
N.S. | 1 | 1.00 | 1.11 | 2.97 | 0.79 | 0.83 | 0.00 | 0.64 | 6.53 |
time (sec) |
N/A | 0.038 | 0.037 | 0.808 | 0.698 | 0.341 | 0.000 | 0.376 | 1.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 56 | 127 | 44 | 47 | 0 | 34 | 302 |
N.S. | 1 | 1.00 | 1.12 | 2.54 | 0.88 | 0.94 | 0.00 | 0.68 | 6.04 |
time (sec) |
N/A | 0.024 | 0.050 | 0.236 | 0.684 | 0.341 | 0.000 | 0.391 | 1.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 56 | 26 | 28 | 36 | 24 | 28 |
N.S. | 1 | 1.00 | 0.96 | 2.00 | 0.93 | 1.00 | 1.29 | 0.86 | 1.00 |
time (sec) |
N/A | 0.011 | 0.035 | 0.086 | 0.667 | 0.342 | 25.242 | 0.389 | 0.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 15 | 12 | 13 | 20 | 12 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 0.86 | 0.93 | 1.43 | 0.86 | 1.00 |
time (sec) |
N/A | 0.003 | 0.007 | 0.060 | 0.469 | 0.316 | 24.854 | 0.376 | 0.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 53 | 67 | 28 | 39 | 0 | 31 | 359 |
N.S. | 1 | 1.00 | 0.76 | 0.96 | 0.40 | 0.56 | 0.00 | 0.44 | 5.13 |
time (sec) |
N/A | 0.032 | 0.050 | 0.025 | 0.639 | 0.347 | 0.000 | 0.377 | 3.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 70 | 91 | 45 | 63 | 0 | 45 | 432 |
N.S. | 1 | 1.00 | 0.69 | 0.89 | 0.44 | 0.62 | 0.00 | 0.44 | 4.24 |
time (sec) |
N/A | 0.045 | 0.044 | 0.027 | 0.647 | 0.355 | 0.000 | 0.380 | 3.444 |