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 | A | A | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 805 | 805 | 518 | 385 | 955 | 0 | 0 | 1333 | 2500 |
N.S. |
1 | 1.00 | 0.64 | 0.48 | 1.19 | 0.00 | 0.00 | 1.66 | 3.11 |
time (sec) |
N/A | 0.933 | 2.111 | 0.271 | 0.587 | 0.000 | 0.000 | 2.900 | 11.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-1) | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 805 | 805 | 521 | 385 | 1064 | 0 | 0 | 1278 | 2500 |
N.S. |
1 | 1.00 | 0.65 | 0.48 | 1.32 | 0.00 | 0.00 | 1.59 | 3.11 |
time (sec) |
N/A | 0.897 | 6.115 | 0.349 | 0.544 | 0.000 | 0.000 | 1.797 | 8.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F(-1) | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 881 | 881 | 598 | 405 | 1066 | 0 | 0 | 1289 | 2500 |
N.S. |
1 | 1.00 | 0.68 | 0.46 | 1.21 | 0.00 | 0.00 | 1.46 | 2.84 |
time (sec) |
N/A | 1.138 | 1.967 | 0.408 | 0.541 | 0.000 | 0.000 | 2.609 | 10.135 |
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 | 103 | 103 | 75 | 144 | 132 | 99 | 212 | 104 | 96 |
N.S. | 1 | 1.00 | 0.73 | 1.40 | 1.28 | 0.96 | 2.06 | 1.01 | 0.93 |
time (sec) |
N/A | 0.060 | 0.059 | 0.077 | 0.330 | 3.274 | 0.233 | 1.437 | 0.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 124 | 192 | 166 | 257 | 286 | 132 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.24 | 1.07 | 1.66 | 1.85 | 0.85 | -0.01 |
time (sec) |
N/A | 0.051 | 0.173 | 0.092 | 0.332 | 3.109 | 25.566 | 1.171 | 0.000 |
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 | 73 | 73 | 56 | 96 | 90 | 75 | 162 | 73 | 76 |
N.S. | 1 | 1.00 | 0.77 | 1.32 | 1.23 | 1.03 | 2.22 | 1.00 | 1.04 |
time (sec) |
N/A | 0.042 | 0.046 | 0.083 | 0.323 | 2.346 | 0.151 | 1.188 | 0.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 100 | 144 | 124 | 206 | 226 | 100 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.18 | 1.02 | 1.69 | 1.85 | 0.82 | -0.01 |
time (sec) |
N/A | 0.040 | 0.117 | 0.083 | 0.289 | 2.192 | 7.346 | 2.956 | 0.000 |
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 | 46 | 46 | 34 | 52 | 50 | 50 | 110 | 44 | 53 |
N.S. | 1 | 1.00 | 0.74 | 1.13 | 1.09 | 1.09 | 2.39 | 0.96 | 1.15 |
time (sec) |
N/A | 0.025 | 0.027 | 0.076 | 0.297 | 1.773 | 0.098 | 1.443 | 0.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 74 | 98 | 81 | 155 | 144 | 69 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.13 | 0.93 | 1.78 | 1.66 | 0.79 | -0.01 |
time (sec) |
N/A | 0.020 | 0.094 | 0.079 | 0.277 | 2.620 | 3.290 | 1.884 | 0.000 |
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 | 59 | 59 | 59 | 57 | 45 | 123 | 76 | 60 | 47 |
N.S. | 1 | 1.00 | 1.00 | 0.97 | 0.76 | 2.08 | 1.29 | 1.02 | 0.80 |
time (sec) |
N/A | 0.033 | 0.061 | 0.082 | 0.283 | 1.781 | 10.926 | 1.607 | 0.424 |
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 | 84 | 84 | 67 | 100 | 59 | 134 | 107 | 84 | 94 |
N.S. | 1 | 1.00 | 0.80 | 1.19 | 0.70 | 1.60 | 1.27 | 1.00 | 1.12 |
time (sec) |
N/A | 0.024 | 0.115 | 0.083 | 0.276 | 2.265 | 2.048 | 1.487 | 0.561 |
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 | 84 | 84 | 65 | 106 | 83 | 141 | 107 | 68 | 68 |
N.S. | 1 | 1.00 | 0.77 | 1.26 | 0.99 | 1.68 | 1.27 | 0.81 | 0.81 |
time (sec) |
N/A | 0.046 | 0.114 | 0.098 | 0.295 | 1.185 | 15.653 | 2.364 | 0.621 |
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 | 66 | 66 | 70 | 81 | 48 | 137 | 107 | 151 | 76 |
N.S. | 1 | 1.00 | 1.06 | 1.23 | 0.73 | 2.08 | 1.62 | 2.29 | 1.15 |
time (sec) |
N/A | 0.019 | 0.099 | 0.081 | 0.274 | 2.126 | 1.511 | 1.379 | 0.679 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 78 | 154 | 130 | 170 | 144 | 120 | 93 |
N.S. | 1 | 1.00 | 0.89 | 1.75 | 1.48 | 1.93 | 1.64 | 1.36 | 1.06 |
time (sec) |
N/A | 0.050 | 0.138 | 0.091 | 0.274 | 1.180 | 41.406 | 1.262 | 0.783 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 40 | 58 | 56 | 55 | 119 | 232 | 97 |
N.S. | 1 | 1.00 | 0.75 | 1.09 | 1.06 | 1.04 | 2.25 | 4.38 | 1.83 |
time (sec) |
N/A | 0.016 | 0.099 | 0.085 | 0.280 | 1.207 | 1.306 | 1.838 | 0.433 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 102 | 202 | 174 | 221 | 226 | 140 | 134 |
N.S. | 1 | 1.00 | 0.85 | 1.68 | 1.45 | 1.84 | 1.88 | 1.17 | 1.12 |
time (sec) |
N/A | 0.068 | 0.163 | 0.089 | 0.289 | 1.499 | 54.834 | 1.770 | 1.017 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 62 | 102 | 96 | 81 | 442 | 288 | 132 |
N.S. | 1 | 1.00 | 0.74 | 1.21 | 1.14 | 0.96 | 5.26 | 3.43 | 1.57 |
time (sec) |
N/A | 0.023 | 0.119 | 0.090 | 0.318 | 1.507 | 1.618 | 0.879 | 0.554 |
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 | 156 | 156 | 126 | 250 | 216 | 269 | 286 | 194 | 173 |
N.S. | 1 | 1.00 | 0.81 | 1.60 | 1.38 | 1.72 | 1.83 | 1.24 | 1.11 |
time (sec) |
N/A | 0.087 | 0.219 | 0.095 | 0.298 | 1.383 | 99.138 | 0.850 | 1.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 81 | 150 | 138 | 105 | 957 | 344 | 174 |
N.S. | 1 | 1.00 | 0.69 | 1.28 | 1.18 | 0.90 | 8.18 | 2.94 | 1.49 |
time (sec) |
N/A | 0.039 | 0.152 | 0.093 | 0.326 | 1.500 | 2.106 | 1.310 | 0.675 |
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 | 189 | 189 | 146 | 298 | 258 | 317 | 347 | 230 | 209 |
N.S. | 1 | 1.00 | 0.77 | 1.58 | 1.37 | 1.68 | 1.84 | 1.22 | 1.11 |
time (sec) |
N/A | 0.102 | 0.261 | 0.105 | 0.312 | 1.219 | 209.280 | 1.418 | 1.594 |
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 | 103 | 103 | 80 | 144 | 132 | 124 | 260 | 104 | 117 |
N.S. | 1 | 1.00 | 0.78 | 1.40 | 1.28 | 1.20 | 2.52 | 1.01 | 1.14 |
time (sec) |
N/A | 0.053 | 0.061 | 0.080 | 0.280 | 1.262 | 0.404 | 1.516 | 0.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 142 | 224 | 204 | 299 | 345 | 159 | -1 |
N.S. | 1 | 1.00 | 0.76 | 1.19 | 1.09 | 1.59 | 1.84 | 0.85 | -0.01 |
time (sec) |
N/A | 0.064 | 0.180 | 0.079 | 0.278 | 1.016 | 164.253 | 2.354 | 0.000 |
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 | 73 | 73 | 56 | 96 | 90 | 99 | 209 | 73 | 96 |
N.S. | 1 | 1.00 | 0.77 | 1.32 | 1.23 | 1.36 | 2.86 | 1.00 | 1.32 |
time (sec) |
N/A | 0.041 | 0.044 | 0.079 | 0.274 | 1.537 | 0.293 | 1.367 | 0.306 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 122 | 176 | 162 | 260 | 287 | 133 | -1 |
N.S. | 1 | 1.00 | 0.79 | 1.14 | 1.05 | 1.68 | 1.85 | 0.86 | -0.01 |
time (sec) |
N/A | 0.047 | 0.160 | 0.082 | 0.291 | 1.195 | 33.489 | 1.020 | 0.000 |
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 | 46 | 46 | 34 | 52 | 50 | 73 | 158 | 44 | 76 |
N.S. | 1 | 1.00 | 0.74 | 1.13 | 1.09 | 1.59 | 3.43 | 0.96 | 1.65 |
time (sec) |
N/A | 0.025 | 0.030 | 0.077 | 0.289 | 1.375 | 0.186 | 2.268 | 0.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 99 | 130 | 116 | 207 | 253 | 102 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.10 | 0.98 | 1.75 | 2.14 | 0.86 | -0.01 |
time (sec) |
N/A | 0.026 | 0.141 | 0.080 | 0.314 | 1.520 | 10.284 | 1.117 | 0.000 |
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 | 76 | 76 | 83 | 71 | 58 | 170 | 71 | 79 | 60 |
N.S. | 1 | 1.00 | 1.09 | 0.93 | 0.76 | 2.24 | 0.93 | 1.04 | 0.79 |
time (sec) |
N/A | 0.037 | 0.080 | 0.076 | 0.351 | 1.371 | 24.401 | 1.506 | 0.452 |
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 | 109 | 109 | 84 | 132 | 91 | 182 | 216 | 114 | 80 |
N.S. | 1 | 1.00 | 0.77 | 1.21 | 0.83 | 1.67 | 1.98 | 1.05 | 0.73 |
time (sec) |
N/A | 0.030 | 0.169 | 0.087 | 0.312 | 1.315 | 5.183 | 1.899 | 0.702 |
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 | 110 | 110 | 81 | 134 | 109 | 167 | 184 | 103 | 94 |
N.S. | 1 | 1.00 | 0.74 | 1.22 | 0.99 | 1.52 | 1.67 | 0.94 | 0.85 |
time (sec) |
N/A | 0.059 | 0.123 | 0.095 | 0.275 | 1.577 | 19.806 | 1.505 | 0.748 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 84 | 180 | 115 | 166 | 202 | 207 | -1 |
N.S. | 1 | 1.00 | 0.71 | 1.51 | 0.97 | 1.39 | 1.70 | 1.74 | -0.01 |
time (sec) |
N/A | 0.035 | 0.182 | 0.087 | 0.274 | 1.118 | 3.206 | 1.234 | 0.000 |
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 | 115 | 115 | 81 | 182 | 161 | 189 | 216 | 131 | 104 |
N.S. | 1 | 1.00 | 0.70 | 1.58 | 1.40 | 1.64 | 1.88 | 1.14 | 0.90 |
time (sec) |
N/A | 0.060 | 0.175 | 0.104 | 0.307 | 1.282 | 50.514 | 1.473 | 0.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 92 | 121 | 88 | 184 | 184 | 236 | -1 |
N.S. | 1 | 1.00 | 1.07 | 1.41 | 1.02 | 2.14 | 2.14 | 2.74 | -0.01 |
time (sec) |
N/A | 0.026 | 0.167 | 0.093 | 0.284 | 1.353 | 2.592 | 1.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 102 | 230 | 210 | 222 | 253 | 159 | 130 |
N.S. | 1 | 1.00 | 0.85 | 1.92 | 1.75 | 1.85 | 2.11 | 1.32 | 1.08 |
time (sec) |
N/A | 0.067 | 0.180 | 0.096 | 0.305 | 1.448 | 73.369 | 2.418 | 1.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 40 | 58 | 56 | 78 | 518 | 344 | 128 |
N.S. | 1 | 1.00 | 0.75 | 1.09 | 1.06 | 1.47 | 9.77 | 6.49 | 2.42 |
time (sec) |
N/A | 0.014 | 0.156 | 0.092 | 0.280 | 1.203 | 2.752 | 3.263 | 0.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 126 | 278 | 252 | 271 | 287 | 194 | 169 |
N.S. | 1 | 1.00 | 0.81 | 1.78 | 1.62 | 1.74 | 1.84 | 1.24 | 1.08 |
time (sec) |
N/A | 0.086 | 0.232 | 0.097 | 0.271 | 1.683 | 135.607 | 1.364 | 1.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 62 | 102 | 96 | 105 | 1408 | 400 | 170 |
N.S. | 1 | 1.00 | 0.74 | 1.21 | 1.14 | 1.25 | 16.76 | 4.76 | 2.02 |
time (sec) |
N/A | 0.025 | 0.195 | 0.094 | 0.278 | 1.231 | 3.422 | 0.929 | 0.953 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 142 | 326 | 294 | 317 | 0 | 212 | 205 |
N.S. |
1 | 1.00 | 0.77 | 1.77 | 1.60 | 1.72 | 0.00 | 1.15 | 1.11 |
time (sec) |
N/A | 0.104 | 0.277 | 0.105 | 0.278 | 1.591 | 0.000 | 0.611 | 2.138 |
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 | 103 | 103 | 80 | 144 | 132 | 147 | 313 | 104 | 136 |
N.S. | 1 | 1.00 | 0.78 | 1.40 | 1.28 | 1.43 | 3.04 | 1.01 | 1.32 |
time (sec) |
N/A | 0.052 | 0.067 | 0.078 | 0.279 | 1.192 | 0.722 | 0.626 | 0.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 164 | 256 | 242 | 355 | 0 | 195 | -1 |
N.S. |
1 | 1.00 | 0.74 | 1.16 | 1.10 | 1.61 | 0.00 | 0.88 | -0.00 |
time (sec) |
N/A | 0.074 | 0.256 | 0.089 | 0.289 | 1.384 | 0.000 | 0.642 | 0.000 |
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 | 73 | 73 | 56 | 96 | 90 | 122 | 260 | 73 | 115 |
N.S. | 1 | 1.00 | 0.77 | 1.32 | 1.23 | 1.67 | 3.56 | 1.00 | 1.58 |
time (sec) |
N/A | 0.041 | 0.048 | 0.080 | 0.325 | 1.192 | 0.526 | 0.655 | 0.365 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 143 | 208 | 200 | 308 | 348 | 165 | -1 |
N.S. | 1 | 1.00 | 0.76 | 1.11 | 1.06 | 1.64 | 1.85 | 0.88 | -0.01 |
time (sec) |
N/A | 0.060 | 0.221 | 0.085 | 0.297 | 1.298 | 168.714 | 0.705 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 34 | 52 | 50 | 97 | 209 | 44 | 44 |
N.S. | 1 | 1.00 | 0.74 | 1.13 | 1.09 | 2.11 | 4.54 | 0.96 | 0.96 |
time (sec) |
N/A | 0.025 | 0.031 | 0.082 | 0.326 | 1.254 | 0.372 | 0.704 | 0.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 123 | 162 | 151 | 257 | 316 | 134 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.09 | 1.01 | 1.72 | 2.12 | 0.90 | -0.01 |
time (sec) |
N/A | 0.035 | 0.191 | 0.079 | 0.312 | 1.587 | 35.808 | 0.680 | 0.000 |
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 | 95 | 95 | 103 | 85 | 73 | 220 | 88 | 97 | 78 |
N.S. | 1 | 1.00 | 1.08 | 0.89 | 0.77 | 2.32 | 0.93 | 1.02 | 0.82 |
time (sec) |
N/A | 0.048 | 0.094 | 0.079 | 0.368 | 1.278 | 33.899 | 0.945 | 0.483 |
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 | 136 | 136 | 110 | 164 | 124 | 236 | 306 | 146 | 80 |
N.S. | 1 | 1.00 | 0.81 | 1.21 | 0.91 | 1.74 | 2.25 | 1.07 | 0.59 |
time (sec) |
N/A | 0.037 | 0.232 | 0.086 | 0.375 | 1.869 | 12.619 | 0.889 | 0.871 |
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 | 135 | 135 | 105 | 162 | 138 | 221 | 296 | 139 | 132 |
N.S. | 1 | 1.00 | 0.78 | 1.20 | 1.02 | 1.64 | 2.19 | 1.03 | 0.98 |
time (sec) |
N/A | 0.069 | 0.180 | 0.099 | 0.295 | 1.103 | 23.276 | 1.019 | 0.849 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 109 | 212 | 151 | 220 | 299 | 238 | -1 |
N.S. | 1 | 1.00 | 0.75 | 1.45 | 1.03 | 1.51 | 2.05 | 1.63 | -0.01 |
time (sec) |
N/A | 0.040 | 0.285 | 0.090 | 0.331 | 1.711 | 6.557 | 1.517 | 0.000 |
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 | 143 | 143 | 106 | 210 | 190 | 221 | 279 | 171 | 144 |
N.S. | 1 | 1.00 | 0.74 | 1.47 | 1.33 | 1.55 | 1.95 | 1.20 | 1.01 |
time (sec) |
N/A | 0.069 | 0.199 | 0.105 | 0.293 | 1.898 | 54.514 | 1.291 | 1.157 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 108 | 260 | 198 | 220 | 292 | 321 | -1 |
N.S. | 1 | 1.00 | 0.71 | 1.71 | 1.30 | 1.45 | 1.92 | 2.11 | -0.01 |
time (sec) |
N/A | 0.044 | 0.240 | 0.090 | 0.302 | 1.132 | 4.360 | 1.457 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 107 | 258 | 243 | 241 | 306 | 167 | 150 |
N.S. | 1 | 1.00 | 0.72 | 1.73 | 1.63 | 1.62 | 2.05 | 1.12 | 1.01 |
time (sec) |
N/A | 0.073 | 0.209 | 0.099 | 0.353 | 1.286 | 79.275 | 1.306 | 1.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 112 | 161 | 128 | 234 | 592 | 320 | -1 |
N.S. | 1 | 1.00 | 1.04 | 1.49 | 1.19 | 2.17 | 5.48 | 2.96 | -0.01 |
time (sec) |
N/A | 0.032 | 0.231 | 0.092 | 0.290 | 1.421 | 3.753 | 1.764 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 123 | 306 | 288 | 272 | 316 | 195 | 169 |
N.S. | 1 | 1.00 | 0.81 | 2.01 | 1.89 | 1.79 | 2.08 | 1.28 | 1.11 |
time (sec) |
N/A | 0.082 | 0.217 | 0.099 | 0.291 | 1.819 | 158.077 | 1.376 | 2.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 40 | 58 | 56 | 102 | 1489 | 456 | 170 |
N.S. | 1 | 1.00 | 0.75 | 1.09 | 1.06 | 1.92 | 28.09 | 8.60 | 3.21 |
time (sec) |
N/A | 0.014 | 0.224 | 0.099 | 0.318 | 1.481 | 4.348 | 1.200 | 1.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 143 | 354 | 330 | 319 | 0 | 230 | 205 |
N.S. |
1 | 1.00 | 0.76 | 1.87 | 1.75 | 1.69 | 0.00 | 1.22 | 1.08 |
time (sec) |
N/A | 0.099 | 0.312 | 0.125 | 0.309 | 1.346 | 0.000 | 2.240 | 2.733 |
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 | 100 | 100 | 80 | 144 | 132 | 76 | 172 | 101 | 80 |
N.S. | 1 | 1.00 | 0.80 | 1.44 | 1.32 | 0.76 | 1.72 | 1.01 | 0.80 |
time (sec) |
N/A | 0.054 | 0.054 | 0.085 | 0.292 | 1.337 | 0.350 | 1.405 | 0.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 100 | 154 | 128 | 211 | 235 | 107 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.26 | 1.05 | 1.73 | 1.93 | 0.88 | -0.01 |
time (sec) |
N/A | 0.035 | 0.135 | 0.088 | 0.290 | 1.208 | 10.883 | 1.328 | 0.000 |
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 | 71 | 71 | 56 | 96 | 90 | 52 | 121 | 69 | 57 |
N.S. | 1 | 1.00 | 0.79 | 1.35 | 1.27 | 0.73 | 1.70 | 0.97 | 0.80 |
time (sec) |
N/A | 0.038 | 0.039 | 0.081 | 0.299 | 1.513 | 0.304 | 1.279 | 0.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 76 | 106 | 86 | 162 | 150 | 75 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.19 | 0.97 | 1.82 | 1.69 | 0.84 | -0.01 |
time (sec) |
N/A | 0.025 | 0.097 | 0.087 | 0.296 | 1.119 | 4.206 | 0.925 | 0.000 |
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 | 43 | 43 | 33 | 51 | 49 | 29 | 70 | 38 | 34 |
N.S. | 1 | 1.00 | 0.77 | 1.19 | 1.14 | 0.67 | 1.63 | 0.88 | 0.79 |
time (sec) |
N/A | 0.025 | 0.025 | 0.080 | 0.316 | 1.325 | 0.233 | 1.267 | 0.281 |
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 | 58 | 58 | 59 | 63 | 47 | 110 | 126 | 48 | 86 |
N.S. | 1 | 1.00 | 1.02 | 1.09 | 0.81 | 1.90 | 2.17 | 0.83 | 1.48 |
time (sec) |
N/A | 0.012 | 0.050 | 0.078 | 0.311 | 1.274 | 1.521 | 1.731 | 0.497 |
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 | 43 | 43 | 43 | 45 | 33 | 102 | 61 | 38 | 35 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 0.77 | 2.37 | 1.42 | 0.88 | 0.81 |
time (sec) |
N/A | 0.023 | 0.038 | 0.079 | 0.334 | 2.901 | 4.745 | 1.275 | 0.519 |
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 | 47 | 47 | 50 | 41 | 33 | 109 | 99 | 58 | 40 |
N.S. | 1 | 1.00 | 1.06 | 0.87 | 0.70 | 2.32 | 2.11 | 1.23 | 0.85 |
time (sec) |
N/A | 0.012 | 0.060 | 0.082 | 0.275 | 1.578 | 0.762 | 0.934 | 0.358 |
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 | 58 | 58 | 58 | 80 | 56 | 124 | 66 | 62 | 60 |
N.S. | 1 | 1.00 | 1.00 | 1.38 | 0.97 | 2.14 | 1.14 | 1.07 | 1.03 |
time (sec) |
N/A | 0.030 | 0.071 | 0.095 | 0.285 | 1.447 | 11.299 | 1.226 | 0.605 |
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 | 53 | 53 | 40 | 58 | 56 | 34 | 70 | 120 | 35 |
N.S. | 1 | 1.00 | 0.75 | 1.09 | 1.06 | 0.64 | 1.32 | 2.26 | 0.66 |
time (sec) |
N/A | 0.014 | 0.071 | 0.083 | 0.285 | 1.860 | 0.962 | 1.226 | 0.287 |
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 | 90 | 90 | 78 | 124 | 96 | 171 | 150 | 121 | 99 |
N.S. | 1 | 1.00 | 0.87 | 1.38 | 1.07 | 1.90 | 1.67 | 1.34 | 1.10 |
time (sec) |
N/A | 0.048 | 0.135 | 0.092 | 0.296 | 1.965 | 25.875 | 1.410 | 0.705 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 62 | 102 | 96 | 58 | 355 | 176 | 58 |
N.S. | 1 | 1.00 | 0.74 | 1.21 | 1.14 | 0.69 | 4.23 | 2.10 | 0.69 |
time (sec) |
N/A | 0.023 | 0.101 | 0.092 | 0.320 | 1.679 | 1.293 | 1.433 | 0.343 |
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 | 123 | 123 | 102 | 172 | 138 | 223 | 235 | 158 | 140 |
N.S. | 1 | 1.00 | 0.83 | 1.40 | 1.12 | 1.81 | 1.91 | 1.28 | 1.14 |
time (sec) |
N/A | 0.064 | 0.200 | 0.090 | 0.285 | 1.702 | 46.844 | 1.199 | 0.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 86 | 150 | 138 | 82 | 819 | 232 | 105 |
N.S. | 1 | 1.00 | 0.74 | 1.28 | 1.18 | 0.70 | 7.00 | 1.98 | 0.90 |
time (sec) |
N/A | 0.033 | 0.115 | 0.094 | 0.302 | 1.204 | 1.659 | 1.170 | 0.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 124 | 198 | 170 | 325 | 233 | 136 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.30 | 1.12 | 2.14 | 1.53 | 0.89 | -0.01 |
time (sec) |
N/A | 0.048 | 0.202 | 0.099 | 0.287 | 1.973 | 20.201 | 1.037 | 0.000 |
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 | 99 | 99 | 77 | 142 | 132 | 88 | 172 | 113 | 89 |
N.S. | 1 | 1.00 | 0.78 | 1.43 | 1.33 | 0.89 | 1.74 | 1.14 | 0.90 |
time (sec) |
N/A | 0.052 | 0.054 | 0.089 | 0.320 | 1.680 | 0.442 | 0.852 | 0.409 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 99 | 150 | 126 | 274 | 177 | 104 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.26 | 1.06 | 2.30 | 1.49 | 0.87 | -0.01 |
time (sec) |
N/A | 0.035 | 0.166 | 0.095 | 0.314 | 1.552 | 7.340 | 1.259 | 0.000 |
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 | 67 | 67 | 55 | 94 | 89 | 63 | 117 | 77 | 59 |
N.S. | 1 | 1.00 | 0.82 | 1.40 | 1.33 | 0.94 | 1.75 | 1.15 | 0.88 |
time (sec) |
N/A | 0.037 | 0.042 | 0.088 | 0.301 | 2.229 | 0.332 | 1.229 | 0.334 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 75 | 102 | 82 | 213 | 114 | 70 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.23 | 0.99 | 2.57 | 1.37 | 0.84 | -0.01 |
time (sec) |
N/A | 0.039 | 0.130 | 0.095 | 0.309 | 1.426 | 3.898 | 1.362 | 0.000 |
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 | 41 | 41 | 30 | 51 | 49 | 40 | 66 | 36 | 30 |
N.S. | 1 | 1.00 | 0.73 | 1.24 | 1.20 | 0.98 | 1.61 | 0.88 | 0.73 |
time (sec) |
N/A | 0.022 | 0.030 | 0.089 | 0.319 | 3.553 | 0.276 | 0.928 | 0.293 |
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 | 54 | 54 | 58 | 55 | 46 | 168 | 60 | 51 | 53 |
N.S. | 1 | 1.00 | 1.07 | 1.02 | 0.85 | 3.11 | 1.11 | 0.94 | 0.98 |
time (sec) |
N/A | 0.013 | 0.086 | 0.094 | 0.296 | 1.585 | 2.427 | 1.333 | 0.367 |
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 | 53 | 61 | 48 | 167 | 48 | 52 | 50 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 0.91 | 3.15 | 0.91 | 0.98 | 0.94 |
time (sec) |
N/A | 0.026 | 0.068 | 0.086 | 0.280 | 1.594 | 7.575 | 1.144 | 0.485 |
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 | 47 | 47 | 36 | 53 | 51 | 43 | 68 | 57 | 46 |
N.S. | 1 | 1.00 | 0.77 | 1.13 | 1.09 | 0.91 | 1.45 | 1.21 | 0.98 |
time (sec) |
N/A | 0.013 | 0.064 | 0.093 | 0.319 | 2.120 | 2.800 | 0.824 | 0.272 |
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 | 86 | 86 | 77 | 114 | 86 | 232 | 262 | 99 | 90 |
N.S. | 1 | 1.00 | 0.90 | 1.33 | 1.00 | 2.70 | 3.05 | 1.15 | 1.05 |
time (sec) |
N/A | 0.047 | 0.137 | 0.102 | 0.289 | 2.011 | 15.971 | 0.843 | 0.713 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 62 | 98 | 92 | 68 | 284 | 181 | 57 |
N.S. | 1 | 1.00 | 0.76 | 1.20 | 1.12 | 0.83 | 3.46 | 2.21 | 0.70 |
time (sec) |
N/A | 0.021 | 0.098 | 0.095 | 0.290 | 1.732 | 3.764 | 1.094 | 0.331 |
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 | 118 | 118 | 100 | 162 | 130 | 287 | 180 | 137 | 134 |
N.S. | 1 | 1.00 | 0.85 | 1.37 | 1.10 | 2.43 | 1.53 | 1.16 | 1.14 |
time (sec) |
N/A | 0.061 | 0.177 | 0.105 | 0.294 | 1.269 | 32.942 | 1.065 | 0.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 86 | 146 | 134 | 94 | 593 | 294 | 82 |
N.S. | 1 | 1.00 | 0.75 | 1.27 | 1.17 | 0.82 | 5.16 | 2.56 | 0.71 |
time (sec) |
N/A | 0.031 | 0.127 | 0.097 | 0.294 | 1.557 | 4.865 | 0.897 | 0.437 |
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 | 153 | 153 | 126 | 210 | 174 | 341 | 236 | 180 | 178 |
N.S. | 1 | 1.00 | 0.82 | 1.37 | 1.14 | 2.23 | 1.54 | 1.18 | 1.16 |
time (sec) |
N/A | 0.083 | 0.227 | 0.117 | 0.291 | 2.341 | 60.826 | 0.668 | 1.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 105 | 194 | 176 | 117 | 1030 | 407 | 148 |
N.S. | 1 | 1.00 | 0.71 | 1.31 | 1.19 | 0.79 | 6.96 | 2.75 | 1.00 |
time (sec) |
N/A | 0.042 | 0.166 | 0.106 | 0.322 | 1.478 | 6.741 | 0.567 | 0.506 |
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 | 128 | 128 | 98 | 190 | 174 | 123 | 437 | 141 | 122 |
N.S. | 1 | 1.00 | 0.77 | 1.48 | 1.36 | 0.96 | 3.41 | 1.10 | 0.95 |
time (sec) |
N/A | 0.069 | 0.069 | 0.099 | 0.301 | 1.770 | 0.579 | 0.512 | 0.484 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 119 | 194 | 210 | 392 | 804 | 148 | -1 |
N.S. | 1 | 1.00 | 0.80 | 1.30 | 1.41 | 2.63 | 5.40 | 0.99 | -0.01 |
time (sec) |
N/A | 0.044 | 0.227 | 0.130 | 0.320 | 2.117 | 16.137 | 0.472 | 0.000 |
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 | 97 | 97 | 73 | 142 | 131 | 98 | 337 | 104 | 89 |
N.S. | 1 | 1.00 | 0.75 | 1.46 | 1.35 | 1.01 | 3.47 | 1.07 | 0.92 |
time (sec) |
N/A | 0.054 | 0.054 | 0.104 | 0.276 | 1.277 | 0.563 | 0.939 | 0.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 97 | 146 | 160 | 333 | 675 | 112 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.28 | 1.40 | 2.92 | 5.92 | 0.98 | -0.01 |
time (sec) |
N/A | 0.061 | 0.172 | 0.107 | 0.317 | 1.770 | 8.939 | 0.814 | 0.000 |
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 | 68 | 68 | 56 | 95 | 89 | 75 | 240 | 62 | 59 |
N.S. | 1 | 1.00 | 0.82 | 1.40 | 1.31 | 1.10 | 3.53 | 0.91 | 0.87 |
time (sec) |
N/A | 0.040 | 0.042 | 0.095 | 0.305 | 1.860 | 0.395 | 1.344 | 0.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 75 | 117 | 103 | 245 | 352 | 69 | -1 |
N.S. | 1 | 1.00 | 0.97 | 1.52 | 1.34 | 3.18 | 4.57 | 0.90 | -0.01 |
time (sec) |
N/A | 0.022 | 0.122 | 0.089 | 0.299 | 1.964 | 5.753 | 1.387 | 0.000 |
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 | 44 | 44 | 34 | 52 | 50 | 52 | 143 | 32 | 32 |
N.S. | 1 | 1.00 | 0.77 | 1.18 | 1.14 | 1.18 | 3.25 | 0.73 | 0.73 |
time (sec) |
N/A | 0.024 | 0.030 | 0.092 | 0.273 | 1.404 | 0.391 | 1.416 | 0.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 37 | 90 | 68 | 54 | 144 | 40 | 33 |
N.S. | 1 | 1.00 | 0.79 | 1.91 | 1.45 | 1.15 | 3.06 | 0.85 | 0.70 |
time (sec) |
N/A | 0.007 | 0.075 | 0.084 | 0.285 | 1.663 | 4.358 | 1.004 | 0.284 |
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 | 69 | 80 | 63 | 241 | 66 | 66 | 65 |
N.S. | 1 | 1.00 | 0.96 | 1.11 | 0.88 | 3.35 | 0.92 | 0.92 | 0.90 |
time (sec) |
N/A | 0.037 | 0.090 | 0.092 | 0.390 | 1.638 | 14.694 | 1.371 | 0.540 |
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 | 77 | 77 | 62 | 92 | 85 | 77 | 265 | 101 | 68 |
N.S. | 1 | 1.00 | 0.81 | 1.19 | 1.10 | 1.00 | 3.44 | 1.31 | 0.88 |
time (sec) |
N/A | 0.019 | 0.109 | 0.100 | 0.285 | 1.613 | 7.360 | 1.181 | 0.318 |
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 | 113 | 113 | 99 | 152 | 117 | 349 | 1608 | 101 | 126 |
N.S. | 1 | 1.00 | 0.88 | 1.35 | 1.04 | 3.09 | 14.23 | 0.89 | 1.12 |
time (sec) |
N/A | 0.059 | 0.139 | 0.111 | 0.294 | 1.256 | 25.550 | 1.384 | 0.718 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 79 | 140 | 128 | 101 | 524 | 224 | 123 |
N.S. | 1 | 1.00 | 0.73 | 1.30 | 1.19 | 0.94 | 4.85 | 2.07 | 1.14 |
time (sec) |
N/A | 0.033 | 0.120 | 0.101 | 0.296 | 1.244 | 10.722 | 1.235 | 0.368 |
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 | 146 | 146 | 119 | 200 | 164 | 407 | 1323 | 165 | 176 |
N.S. | 1 | 1.00 | 0.82 | 1.37 | 1.12 | 2.79 | 9.06 | 1.13 | 1.21 |
time (sec) |
N/A | 0.077 | 0.199 | 0.121 | 0.277 | 1.821 | 49.686 | 1.459 | 0.920 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 105 | 188 | 172 | 129 | 944 | 336 | 231 |
N.S. | 1 | 1.00 | 0.72 | 1.29 | 1.18 | 0.88 | 6.47 | 2.30 | 1.58 |
time (sec) |
N/A | 0.039 | 0.166 | 0.108 | 0.353 | 1.953 | 16.296 | 1.633 | 0.489 |
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 | 157 | 157 | 132 | 257 | 249 | 179 | 389 | 204 | 171 |
N.S. | 1 | 1.00 | 0.84 | 1.64 | 1.59 | 1.14 | 2.48 | 1.30 | 1.09 |
time (sec) |
N/A | 0.090 | 0.084 | 0.085 | 0.346 | 1.355 | 0.370 | 1.412 | 0.373 |
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 | 114 | 114 | 99 | 185 | 181 | 140 | 308 | 150 | 137 |
N.S. | 1 | 1.00 | 0.87 | 1.62 | 1.59 | 1.23 | 2.70 | 1.32 | 1.20 |
time (sec) |
N/A | 0.066 | 0.066 | 0.086 | 0.313 | 1.340 | 0.270 | 1.326 | 0.330 |
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 | 77 | 77 | 67 | 117 | 115 | 103 | 226 | 98 | 101 |
N.S. | 1 | 1.00 | 0.87 | 1.52 | 1.49 | 1.34 | 2.94 | 1.27 | 1.31 |
time (sec) |
N/A | 0.041 | 0.046 | 0.092 | 0.311 | 1.604 | 0.163 | 1.227 | 0.312 |