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 | 406 | 719 | 525 | 623 | 0 | 235 | 0 | 0 | 0 |
N.S. |
1 | 1.77 | 1.29 | 1.53 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.820 | 24.580 | 2.425 | 0.000 | 0.089 | 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 | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 12 | 11 | 11 | 12 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.73 | 0.80 | 0.73 | 0.73 |
time (sec) |
N/A | 0.140 | 10.023 | 1.046 | 0.187 | 0.243 | 0.084 | 0.332 | 17.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 72 | 14 | 13 | 20 | 31 | 13 | 19 |
N.S. |
1 | 1.00 | 4.24 | 0.82 | 0.76 | 1.18 | 1.82 | 0.76 | 1.12 |
time (sec) |
N/A | 0.142 | 10.040 | 1.085 | 0.196 | 0.289 | 0.097 | 0.373 | 17.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 12 | 11 | 11 | 31 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.73 | 2.07 | 0.73 | 0.73 |
time (sec) |
N/A | 0.137 | 10.026 | 1.073 | 0.188 | 0.270 | 0.096 | 0.359 | 17.503 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 12 | 11 | 11 | 31 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.73 | 2.07 | 0.73 | 0.73 |
time (sec) |
N/A | 0.139 | 10.030 | 1.037 | 0.194 | 0.257 | 0.093 | 0.411 | 17.398 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 11 | 10 | 23 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.77 | 1.77 | 0.77 |
time (sec) |
N/A | 0.139 | 0.019 | 1.051 | 0.185 | 0.244 | 0.066 | 0.366 | 17.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 46 | 45 | 34 | 33 | 32 | 39 | 33 | 32 |
N.S. |
1 | 1.05 | 1.02 | 0.77 | 0.75 | 0.73 | 0.89 | 0.75 | 0.73 |
time (sec) |
N/A | 0.171 | 0.023 | 1.015 | 0.182 | 0.247 | 0.077 | 0.417 | 0.115 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 27 | 19 | 16 | 15 | 15 | 17 | 16 | 15 |
N.S. |
1 | 1.29 | 0.90 | 0.76 | 0.71 | 0.71 | 0.81 | 0.76 | 0.71 |
time (sec) |
N/A | 0.155 | 0.003 | 0.932 | 0.195 | 0.250 | 0.061 | 0.426 | 17.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 34 | 27 | 26 | 25 | 27 | 26 | 25 |
N.S. |
1 | 1.00 | 1.03 | 0.82 | 0.79 | 0.76 | 0.82 | 0.79 | 0.76 |
time (sec) |
N/A | 0.168 | 0.020 | 0.941 | 0.194 | 0.257 | 0.071 | 0.345 | 17.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 43 | 36 | 35 | 30 | 29 | 42 | 38 | 29 |
N.S. |
1 | 1.30 | 1.09 | 1.06 | 0.91 | 0.88 | 1.27 | 1.15 | 0.88 |
time (sec) |
N/A | 0.179 | 0.030 | 0.982 | 0.186 | 0.285 | 0.097 | 0.340 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 37 | 10 | 12 | 10 | 10 | 14 | 0 | 10 |
N.S. |
1 | 3.70 | 1.00 | 1.20 | 1.00 | 1.00 | 1.40 | 0.00 | 1.00 |
time (sec) |
N/A | 0.225 | 0.025 | 1.103 | 0.185 | 0.255 | 0.836 | 0.000 | 17.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 37 | 10 | 12 | 86 | 10 | 24 | 0 | 39 |
N.S. |
1 | 2.18 | 0.59 | 0.71 | 5.06 | 0.59 | 1.41 | 0.00 | 2.29 |
time (sec) |
N/A | 0.193 | 0.007 | 1.197 | 0.201 | 0.241 | 12.624 | 0.000 | 17.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F(-1) | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 34 | 38 | 97 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.03 | 2.62 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.266 | 3.895 | 56.810 | 0.282 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F(-1) | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 36 | 95 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.03 | 2.71 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 10.182 | 43.423 | 0.263 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F(-1) | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 31 | 35 | 92 | 0 | 0 | 0 | 148 |
N.S. |
1 | 1.00 | 0.91 | 1.03 | 2.71 | 0.00 | 0.00 | 0.00 | 4.35 |
time (sec) |
N/A | 0.277 | 6.960 | 32.992 | 0.269 | 0.000 | 0.000 | 0.000 | 27.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | F(-1) | F(-1) | F(-1) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 0 | 34 | 38 | 95 | 0 | 0 | 0 | 37 |
N.S. |
1 | 0.00 | 0.92 | 1.03 | 2.57 | 0.00 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.000 | 8.767 | 84.549 | 0.278 | 0.000 | 0.000 | 0.000 | 25.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | F(-1) | F(-1) | F(-1) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 0 | 34 | 38 | 95 | 0 | 0 | 0 | 146 |
N.S. |
1 | 0.00 | 0.92 | 1.03 | 2.57 | 0.00 | 0.00 | 0.00 | 3.95 |
time (sec) |
N/A | 0.000 | 9.145 | 82.797 | 0.281 | 0.000 | 0.000 | 0.000 | 26.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 171 | 105 | 78 | 151 | 94 | 177 | 151 | 167 |
N.S. |
1 | 0.92 | 0.57 | 0.42 | 0.82 | 0.51 | 0.96 | 0.82 | 0.90 |
time (sec) |
N/A | 0.352 | 0.083 | 0.980 | 0.186 | 0.364 | 0.581 | 0.399 | 17.655 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 129 | 93 | 66 | 112 | 81 | 133 | 127 | 124 |
N.S. |
1 | 0.93 | 0.67 | 0.48 | 0.81 | 0.59 | 0.96 | 0.92 | 0.90 |
time (sec) |
N/A | 0.286 | 0.059 | 1.046 | 0.190 | 0.342 | 0.559 | 0.410 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 85 | 68 | 54 | 72 | 67 | 88 | 131 | 79 |
N.S. |
1 | 0.96 | 0.76 | 0.61 | 0.81 | 0.75 | 0.99 | 1.47 | 0.89 |
time (sec) |
N/A | 0.237 | 0.041 | 0.981 | 0.194 | 0.339 | 0.557 | 0.498 | 0.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 47 | 41 | 35 | 35 | 49 | 68 | 82 | 36 |
N.S. |
1 | 1.15 | 1.00 | 0.85 | 0.85 | 1.20 | 1.66 | 2.00 | 0.88 |
time (sec) |
N/A | 0.183 | 0.019 | 0.927 | 0.185 | 0.282 | 0.095 | 0.393 | 0.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 71 | 63 | 51 | 70 | 118 | 87 | 59 | 130 |
N.S. |
1 | 1.25 | 1.11 | 0.89 | 1.23 | 2.07 | 1.53 | 1.04 | 2.28 |
time (sec) |
N/A | 0.250 | 0.056 | 0.895 | 0.262 | 0.285 | 1.390 | 0.402 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 66 | 64 | 63 | 73 | 147 | 73 | 80 | 131 |
N.S. |
1 | 1.22 | 1.19 | 1.17 | 1.35 | 2.72 | 1.35 | 1.48 | 2.43 |
time (sec) |
N/A | 0.217 | 0.100 | 0.967 | 0.262 | 0.276 | 22.673 | 0.325 | 0.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 91 | 77 | 81 | 113 | 181 | 134 | 105 | 80 |
N.S. |
1 | 1.14 | 0.96 | 1.01 | 1.41 | 2.26 | 1.68 | 1.31 | 1.00 |
time (sec) |
N/A | 0.221 | 0.182 | 0.983 | 0.274 | 0.304 | 90.954 | 0.386 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 326 | 307 | 232 | 385 | 268 | 286 | 359 | 915 | 0 |
N.S. |
1 | 0.94 | 0.71 | 1.18 | 0.82 | 0.88 | 1.10 | 2.81 | 0.00 |
time (sec) |
N/A | 0.404 | 0.211 | 0.171 | 0.191 | 0.371 | 0.889 | 0.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 211 | 147 | 184 | 167 | 184 | 241 | 549 | 0 |
N.S. |
1 | 0.94 | 0.66 | 0.82 | 0.75 | 0.82 | 1.08 | 2.45 | 0.00 |
time (sec) |
N/A | 0.317 | 0.127 | 0.148 | 0.189 | 0.315 | 0.748 | 0.391 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 126 | 84 | 93 | 93 | 103 | 156 | 279 | 0 |
N.S. |
1 | 0.95 | 0.63 | 0.70 | 0.70 | 0.77 | 1.17 | 2.10 | 0.00 |
time (sec) |
N/A | 0.257 | 0.068 | 0.142 | 0.195 | 0.314 | 0.669 | 0.388 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 55 | 55 | 41 | 43 | 50 | 70 | 99 | 44 |
N.S. |
1 | 0.98 | 0.98 | 0.73 | 0.77 | 0.89 | 1.25 | 1.77 | 0.79 |
time (sec) |
N/A | 0.181 | 0.035 | 0.105 | 0.183 | 0.333 | 0.418 | 0.344 | 17.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 134 | 124 | 154 | 0 | 194 | 0 | 157 | 0 |
N.S. |
1 | 1.16 | 1.07 | 1.33 | 0.00 | 1.67 | 0.00 | 1.35 | 0.00 |
time (sec) |
N/A | 0.367 | 0.230 | 0.296 | 0.000 | 0.347 | 0.000 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 186 | 144 | 166 | 0 | 1003 | 0 | 232 | 0 |
N.S. |
1 | 1.36 | 1.05 | 1.21 | 0.00 | 7.32 | 0.00 | 1.69 | 0.00 |
time (sec) |
N/A | 0.341 | 0.387 | 0.271 | 0.000 | 0.351 | 0.000 | 0.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 336 | 217 | 372 | 0 | 2856 | 0 | 895 | 0 |
N.S. |
1 | 1.50 | 0.97 | 1.66 | 0.00 | 12.75 | 0.00 | 4.00 | 0.00 |
time (sec) |
N/A | 0.519 | 1.750 | 0.303 | 0.000 | 0.562 | 0.000 | 0.612 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 216 | 235 | 288 | 243 | 228 | 252 | 341 | 317 |
N.S. |
1 | 0.94 | 1.02 | 1.25 | 1.06 | 0.99 | 1.10 | 1.48 | 1.38 |
time (sec) |
N/A | 0.408 | 0.199 | 0.057 | 0.192 | 0.289 | 1.402 | 0.424 | 0.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 143 | 151 | 166 | 148 | 138 | 167 | 198 | 184 |
N.S. |
1 | 0.95 | 1.00 | 1.10 | 0.98 | 0.91 | 1.11 | 1.31 | 1.22 |
time (sec) |
N/A | 0.318 | 0.113 | 0.052 | 0.186 | 0.282 | 1.194 | 0.446 | 17.676 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 88 | 85 | 85 | 81 | 71 | 104 | 105 | 89 |
N.S. |
1 | 0.98 | 0.94 | 0.94 | 0.90 | 0.79 | 1.16 | 1.17 | 0.99 |
time (sec) |
N/A | 0.255 | 0.062 | 0.040 | 0.187 | 0.285 | 1.074 | 0.345 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 39 | 40 | 36 | 35 | 33 | 49 | 38 | 33 |
N.S. |
1 | 0.95 | 0.98 | 0.88 | 0.85 | 0.80 | 1.20 | 0.93 | 0.80 |
time (sec) |
N/A | 0.182 | 0.026 | 0.048 | 0.188 | 0.276 | 0.271 | 0.370 | 17.445 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 79 | 62 | 69 | 95 | 125 | 97 | 88 | 181 |
N.S. |
1 | 0.96 | 0.76 | 0.84 | 1.16 | 1.52 | 1.18 | 1.07 | 2.21 |
time (sec) |
N/A | 0.237 | 0.050 | 0.077 | 0.338 | 0.298 | 1.344 | 0.353 | 17.828 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 151 | 118 | 128 | 191 | 283 | 0 | 191 | 220 |
N.S. |
1 | 1.16 | 0.91 | 0.98 | 1.47 | 2.18 | 0.00 | 1.47 | 1.69 |
time (sec) |
N/A | 0.329 | 0.174 | 0.079 | 0.318 | 0.339 | 0.000 | 0.352 | 18.515 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 244 | 198 | 227 | 367 | 534 | 0 | 375 | 1094 |
N.S. |
1 | 1.20 | 0.97 | 1.11 | 1.80 | 2.62 | 0.00 | 1.84 | 5.36 |
time (sec) |
N/A | 0.438 | 0.378 | 0.092 | 0.301 | 0.677 | 0.000 | 0.361 | 19.573 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 228 | 283 | 277 | 251 | 392 | 267 | 324 | 461 |
N.S. |
1 | 0.95 | 1.18 | 1.15 | 1.05 | 1.63 | 1.11 | 1.35 | 1.92 |
time (sec) |
N/A | 0.424 | 0.194 | 0.072 | 0.212 | 0.316 | 5.690 | 0.339 | 0.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 158 | 194 | 161 | 158 | 269 | 189 | 191 | 197 |
N.S. |
1 | 0.95 | 1.17 | 0.97 | 0.95 | 1.62 | 1.14 | 1.15 | 1.19 |
time (sec) |
N/A | 0.334 | 0.136 | 0.067 | 0.201 | 0.305 | 4.543 | 0.423 | 0.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 108 | 87 | 90 | 163 | 126 | 102 | 98 |
N.S. |
1 | 1.00 | 1.14 | 0.92 | 0.95 | 1.72 | 1.33 | 1.07 | 1.03 |
time (sec) |
N/A | 0.267 | 0.074 | 0.060 | 0.193 | 0.286 | 3.497 | 0.344 | 0.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 44 | 43 | 41 | 43 | 75 | 124 | 44 | 43 |
N.S. |
1 | 0.94 | 0.91 | 0.87 | 0.91 | 1.60 | 2.64 | 0.94 | 0.91 |
time (sec) |
N/A | 0.192 | 0.040 | 0.062 | 0.186 | 0.293 | 0.561 | 0.380 | 17.233 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 152 | 107 | 118 | 176 | 444 | 167 | 174 | 125 |
N.S. |
1 | 1.18 | 0.83 | 0.91 | 1.36 | 3.44 | 1.29 | 1.35 | 0.97 |
time (sec) |
N/A | 0.331 | 0.160 | 0.078 | 0.274 | 0.325 | 4.639 | 0.357 | 17.948 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 219 | 177 | 182 | 367 | 854 | 0 | 311 | 275 |
N.S. |
1 | 1.08 | 0.88 | 0.90 | 1.82 | 4.23 | 0.00 | 1.54 | 1.36 |
time (sec) |
N/A | 0.391 | 0.294 | 0.111 | 0.265 | 0.528 | 0.000 | 0.376 | 0.708 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 306 | 336 | 301 | 303 | 659 | 1252 | 0 | 521 | 1441 |
N.S. |
1 | 1.10 | 0.98 | 0.99 | 2.15 | 4.09 | 0.00 | 1.70 | 4.71 |
time (sec) |
N/A | 0.527 | 0.588 | 0.135 | 0.285 | 1.247 | 0.000 | 0.394 | 21.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 324 | 305 | 232 | 384 | 268 | 231 | 357 | 409 | 0 |
N.S. |
1 | 0.94 | 0.72 | 1.19 | 0.83 | 0.71 | 1.10 | 1.26 | 0.00 |
time (sec) |
N/A | 0.416 | 0.196 | 0.164 | 0.183 | 0.309 | 0.800 | 0.383 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 209 | 147 | 184 | 167 | 140 | 240 | 238 | 0 |
N.S. |
1 | 0.94 | 0.66 | 0.83 | 0.75 | 0.63 | 1.08 | 1.07 | 0.00 |
time (sec) |
N/A | 0.331 | 0.119 | 0.163 | 0.187 | 0.340 | 0.721 | 0.406 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 124 | 84 | 92 | 93 | 71 | 155 | 115 | 0 |
N.S. |
1 | 0.95 | 0.64 | 0.70 | 0.71 | 0.54 | 1.18 | 0.88 | 0.00 |
time (sec) |
N/A | 0.262 | 0.066 | 0.118 | 0.192 | 0.319 | 0.629 | 0.364 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 53 | 42 | 41 | 42 | 34 | 68 | 38 | 44 |
N.S. |
1 | 0.98 | 0.78 | 0.76 | 0.78 | 0.63 | 1.26 | 0.70 | 0.81 |
time (sec) |
N/A | 0.188 | 0.026 | 0.086 | 0.186 | 0.331 | 0.359 | 0.406 | 17.118 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 112 | 105 | 92 | 0 | 743 | 0 | 140 | 0 |
N.S. |
1 | 1.15 | 1.08 | 0.95 | 0.00 | 7.66 | 0.00 | 1.44 | 0.00 |
time (sec) |
N/A | 0.311 | 0.159 | 0.284 | 0.000 | 0.329 | 0.000 | 0.381 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 235 | 170 | 259 | 0 | 2493 | 0 | 644 | 0 |
N.S. |
1 | 1.44 | 1.04 | 1.59 | 0.00 | 15.29 | 0.00 | 3.95 | 0.00 |
time (sec) |
N/A | 0.393 | 0.506 | 0.290 | 0.000 | 0.406 | 0.000 | 0.618 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 391 | 249 | 427 | 0 | 4390 | 0 | 1303 | 0 |
N.S. |
1 | 1.50 | 0.95 | 1.64 | 0.00 | 16.82 | 0.00 | 4.99 | 0.00 |
time (sec) |
N/A | 0.606 | 1.306 | 0.418 | 0.000 | 1.219 | 0.000 | 0.444 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 350 | 330 | 555 | 0 | 728 | 1416 | 0 | 5699 | 0 |
N.S. |
1 | 0.94 | 1.59 | 0.00 | 2.08 | 4.05 | 0.00 | 16.28 | 0.00 |
time (sec) |
N/A | 0.469 | 0.680 | 0.000 | 0.217 | 0.409 | 0.000 | 0.508 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 242 | 227 | 284 | 0 | 402 | 712 | 0 | 2511 | 0 |
N.S. |
1 | 0.94 | 1.17 | 0.00 | 1.66 | 2.94 | 0.00 | 10.38 | 0.00 |
time (sec) |
N/A | 0.358 | 0.366 | 0.000 | 0.210 | 0.329 | 0.000 | 0.358 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 145 | 137 | 128 | 0 | 187 | 294 | 0 | 806 | 0 |
N.S. |
1 | 0.94 | 0.88 | 0.00 | 1.29 | 2.03 | 0.00 | 5.56 | 0.00 |
time (sec) |
N/A | 0.280 | 0.194 | 0.000 | 0.198 | 0.314 | 0.000 | 0.352 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | B | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 62 | 60 | 53 | 0 | 60 | 81 | 0 | 129 | 146 |
N.S. |
1 | 0.97 | 0.85 | 0.00 | 0.97 | 1.31 | 0.00 | 2.08 | 2.35 |
time (sec) |
N/A | 0.196 | 0.090 | 0.000 | 0.200 | 0.293 | 0.000 | 0.568 | 17.516 |
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 | 139 | 145 | 136 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.297 | 0.169 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 87 | 77 | 70 | 0 | 164 | 134 | 0 | 0 |
N.S. |
1 | 0.94 | 0.83 | 0.75 | 0.00 | 1.76 | 1.44 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.196 | 1.353 | 0.000 | 0.275 | 18.081 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 67 | 61 | 54 | 0 | 130 | 95 | 0 | 0 |
N.S. |
1 | 0.96 | 0.87 | 0.77 | 0.00 | 1.86 | 1.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.136 | 1.365 | 0.000 | 0.290 | 12.055 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 47 | 46 | 40 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.94 | 0.82 | 0.00 | 2.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 0.109 | 1.281 | 0.000 | 0.287 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 25 | 0 | 78 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.00 | 2.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.173 | 0.102 | 1.274 | 0.000 | 0.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 50 | 52 | 43 | 0 | 164 | 66 | 0 | 0 |
N.S. |
1 | 0.96 | 1.00 | 0.83 | 0.00 | 3.15 | 1.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.146 | 1.070 | 0.000 | 0.283 | 3.161 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 67 | 59 | 0 | 262 | 90 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.79 | 0.00 | 3.49 | 1.20 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 0.184 | 1.050 | 0.000 | 0.310 | 4.673 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 97 | 81 | 78 | 0 | 169 | 131 | 0 | 0 |
N.S. |
1 | 0.96 | 0.80 | 0.77 | 0.00 | 1.67 | 1.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 0.161 | 1.406 | 0.000 | 0.265 | 17.815 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 74 | 66 | 60 | 0 | 135 | 94 | 0 | 0 |
N.S. |
1 | 0.97 | 0.87 | 0.79 | 0.00 | 1.78 | 1.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 0.135 | 1.407 | 0.000 | 0.268 | 11.992 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 51 | 50 | 44 | 0 | 110 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.94 | 0.83 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.115 | 1.284 | 0.000 | 0.279 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 27 | 0 | 80 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 0.102 | 1.377 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 54 | 56 | 47 | 0 | 175 | 66 | 0 | 0 |
N.S. |
1 | 0.96 | 1.00 | 0.84 | 0.00 | 3.12 | 1.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 0.146 | 1.109 | 0.000 | 0.284 | 4.180 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 82 | 70 | 65 | 0 | 277 | 88 | 0 | 0 |
N.S. |
1 | 1.01 | 0.86 | 0.80 | 0.00 | 3.42 | 1.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 0.207 | 1.163 | 0.000 | 0.293 | 4.693 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 18 | 32 | 56 | 24 | 21 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.78 | 1.39 | 2.43 | 1.04 | 0.91 | 0.74 |
time (sec) |
N/A | 0.136 | 0.003 | 1.077 | 0.265 | 0.294 | 0.517 | 0.347 | 16.702 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 25 | 0 | 78 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.00 | 2.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 0.111 | 1.415 | 0.000 | 0.301 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 32 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.00 | 3.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.328 | 0.184 | 1.115 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 39 | 0 | 147 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.00 | 3.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.525 | 0.217 | 1.152 | 0.000 | 0.313 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 46 | 0 | 182 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.00 | 3.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.809 | 0.248 | 1.205 | 0.000 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 89 | 70 | 63 | 120 | 55 | 80 | 77 | 54 |
N.S. |
1 | 1.17 | 0.92 | 0.83 | 1.58 | 0.72 | 1.05 | 1.01 | 0.71 |
time (sec) |
N/A | 0.217 | 0.103 | 1.096 | 0.266 | 0.273 | 51.196 | 0.361 | 17.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 68 | 65 | 58 | 67 | 50 | 60 | 67 | 44 |
N.S. |
1 | 1.13 | 1.08 | 0.97 | 1.12 | 0.83 | 1.00 | 1.12 | 0.73 |
time (sec) |
N/A | 0.199 | 0.079 | 0.991 | 0.269 | 0.268 | 23.559 | 0.336 | 17.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 47 | 46 | 53 | 30 | 43 | 39 | 57 | 30 |
N.S. |
1 | 1.07 | 1.05 | 1.20 | 0.68 | 0.98 | 0.89 | 1.30 | 0.68 |
time (sec) |
N/A | 0.175 | 0.063 | 0.176 | 0.264 | 0.269 | 10.705 | 0.337 | 18.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 13 | 16 | 12 | 8 | 37 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.44 | 1.78 | 1.33 | 0.89 | 4.11 | 1.56 |
time (sec) |
N/A | 0.155 | 0.024 | 1.017 | 0.182 | 0.261 | 1.120 | 0.335 | 17.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 27 | 24 | 29 | 30 | 28 | 20 | 58 | 25 |
N.S. |
1 | 1.29 | 1.14 | 1.38 | 1.43 | 1.33 | 0.95 | 2.76 | 1.19 |
time (sec) |
N/A | 0.191 | 0.029 | 1.007 | 0.186 | 0.279 | 1.723 | 0.353 | 18.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 40 | 32 | 34 | 38 | 38 | 34 | 68 | 28 |
N.S. |
1 | 1.18 | 0.94 | 1.00 | 1.12 | 1.12 | 1.00 | 2.00 | 0.82 |
time (sec) |
N/A | 0.193 | 0.043 | 1.008 | 0.191 | 0.274 | 2.310 | 0.490 | 18.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 20 | 23 | 11 | 28 | 8 | 11 | 18 |
N.S. |
1 | 1.00 | 2.22 | 2.56 | 1.22 | 3.11 | 0.89 | 1.22 | 2.00 |
time (sec) |
N/A | 0.145 | 0.005 | 0.976 | 0.259 | 0.280 | 1.444 | 0.344 | 18.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 20 | 12 | 0 | 28 | 10 | 13 | 18 |
N.S. |
1 | 1.00 | 2.22 | 1.33 | 0.00 | 3.11 | 1.11 | 1.44 | 2.00 |
time (sec) |
N/A | 0.144 | 0.002 | 1.000 | 0.000 | 0.274 | 1.397 | 0.381 | 18.373 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 20 | 895 | 16 | 67 | 71 | 16 | 26 |
N.S. |
1 | 1.00 | 1.11 | 49.72 | 0.89 | 3.72 | 3.94 | 0.89 | 1.44 |
time (sec) |
N/A | 0.252 | 0.019 | 0.094 | 0.183 | 0.277 | 0.735 | 0.317 | 19.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 29 | 16 | 21 | 32 | 19 | 16 | 10 |
N.S. |
1 | 1.00 | 1.81 | 1.00 | 1.31 | 2.00 | 1.19 | 1.00 | 0.62 |
time (sec) |
N/A | 0.229 | 0.018 | 1.142 | 0.184 | 0.277 | 0.089 | 0.330 | 18.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 48 | 40 | 27 | 49 | 36 | 94 | 29 | 26 |
N.S. |
1 | 1.09 | 0.91 | 0.61 | 1.11 | 0.82 | 2.14 | 0.66 | 0.59 |
time (sec) |
N/A | 0.183 | 0.109 | 1.048 | 0.260 | 0.264 | 0.154 | 0.345 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 125 | 57 | 49 | 89 | 53 | 133 | 138 | 124 |
N.S. |
1 | 1.03 | 0.47 | 0.40 | 0.74 | 0.44 | 1.10 | 1.14 | 1.02 |
time (sec) |
N/A | 0.314 | 0.031 | 1.314 | 0.269 | 0.330 | 0.907 | 0.342 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 49 | 42 | 0 | 268 | 83 | 41 | 42 |
N.S. |
1 | 1.00 | 0.98 | 0.84 | 0.00 | 5.36 | 1.66 | 0.82 | 0.84 |
time (sec) |
N/A | 0.202 | 0.076 | 1.081 | 0.000 | 0.323 | 2.703 | 0.342 | 18.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 54 | 49 | 42 | 0 | 268 | 0 | 41 | 96 |
N.S. |
1 | 1.08 | 0.98 | 0.84 | 0.00 | 5.36 | 0.00 | 0.82 | 1.92 |
time (sec) |
N/A | 0.197 | 0.003 | 1.522 | 0.000 | 0.309 | 0.000 | 0.352 | 19.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 62 | 56 | 0 | 382 | 131 | 55 | 56 |
N.S. |
1 | 1.00 | 0.91 | 0.82 | 0.00 | 5.62 | 1.93 | 0.81 | 0.82 |
time (sec) |
N/A | 0.201 | 0.092 | 1.169 | 0.000 | 0.326 | 2.925 | 0.349 | 18.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 55 | 62 | 68 | 0 | 382 | 0 | 52 | 50 |
N.S. |
1 | 0.81 | 0.91 | 1.00 | 0.00 | 5.62 | 0.00 | 0.76 | 0.74 |
time (sec) |
N/A | 0.676 | 0.057 | 1.148 | 0.000 | 0.320 | 0.000 | 0.420 | 18.896 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 37 | 26 | 0 | 39 | 32 | 27 | 39 |
N.S. |
1 | 1.00 | 1.09 | 0.76 | 0.00 | 1.15 | 0.94 | 0.79 | 1.15 |
time (sec) |
N/A | 0.179 | 0.057 | 0.980 | 0.000 | 0.557 | 0.243 | 0.333 | 18.750 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 78 | 50 | 41 | 0 | 49 | 48 | 43 | 27 |
N.S. |
1 | 1.05 | 0.68 | 0.55 | 0.00 | 0.66 | 0.65 | 0.58 | 0.36 |
time (sec) |
N/A | 0.210 | 0.080 | 0.992 | 0.000 | 0.577 | 0.253 | 0.369 | 18.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 18 | 14 | 13 | 16 | 17 | 16 | 13 |
N.S. |
1 | 1.00 | 0.95 | 0.74 | 0.68 | 0.84 | 0.89 | 0.84 | 0.68 |
time (sec) |
N/A | 0.151 | 0.011 | 0.038 | 0.179 | 0.284 | 0.083 | 0.324 | 0.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 66 | 52 | 50 | 67 | 96 | 100 | 55 | 162 |
N.S. |
1 | 1.22 | 0.96 | 0.93 | 1.24 | 1.78 | 1.85 | 1.02 | 3.00 |
time (sec) |
N/A | 0.289 | 0.111 | 9.070 | 0.258 | 0.298 | 0.447 | 0.393 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 13 | 12 | 12 | 32 | 12 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.86 | 0.86 | 2.29 | 0.86 | 0.86 |
time (sec) |
N/A | 0.181 | 0.010 | 0.102 | 0.176 | 0.295 | 0.650 | 0.340 | 17.964 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 63 | 56 | 33 | 46 | 63 | 54 | 50 | 71 |
N.S. |
1 | 1.03 | 0.92 | 0.54 | 0.75 | 1.03 | 0.89 | 0.82 | 1.16 |
time (sec) |
N/A | 0.264 | 0.060 | 0.253 | 0.259 | 0.288 | 0.683 | 0.343 | 0.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 43 | 37 | 31 | 30 | 32 | 39 | 30 | 32 |
N.S. |
1 | 1.16 | 1.00 | 0.84 | 0.81 | 0.86 | 1.05 | 0.81 | 0.86 |
time (sec) |
N/A | 0.231 | 0.012 | 0.237 | 0.261 | 0.309 | 0.578 | 0.329 | 18.250 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 63 | 56 | 32 | 45 | 64 | 53 | 49 | 71 |
N.S. |
1 | 1.03 | 0.92 | 0.52 | 0.74 | 1.05 | 0.87 | 0.80 | 1.16 |
time (sec) |
N/A | 0.243 | 0.043 | 0.225 | 0.270 | 0.316 | 0.619 | 0.358 | 17.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 33 | 29 | 22 | 21 | 21 | 36 | 22 | 25 |
N.S. |
1 | 1.06 | 0.94 | 0.71 | 0.68 | 0.68 | 1.16 | 0.71 | 0.81 |
time (sec) |
N/A | 0.224 | 0.002 | 0.136 | 0.174 | 0.286 | 0.696 | 0.347 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 67 | 60 | 36 | 51 | 65 | 53 | 54 | 79 |
N.S. |
1 | 1.03 | 0.92 | 0.55 | 0.78 | 1.00 | 0.82 | 0.83 | 1.22 |
time (sec) |
N/A | 0.264 | 0.044 | 0.239 | 0.263 | 0.289 | 0.649 | 0.472 | 18.275 |