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 | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 46 | 39 | 0 | 147 | 0 | 35 | 35 |
N.S. |
1 | 1.00 | 1.21 | 1.03 | 0.00 | 3.87 | 0.00 | 0.92 | 0.92 |
time (sec) |
N/A | 0.220 | 0.046 | 0.142 | 0.000 | 0.252 | 0.000 | 0.287 | 0.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 20 | 13 | 12 | 43 | 0 | 46 | 51 |
N.S. |
1 | 1.00 | 1.67 | 1.08 | 1.00 | 3.58 | 0.00 | 3.83 | 4.25 |
time (sec) |
N/A | 0.215 | 0.332 | 0.316 | 0.191 | 0.260 | 0.000 | 0.278 | 1.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 68 | 75 | 85 | 0 | 384 | 0 | 85 | 230 |
N.S. |
1 | 1.19 | 1.32 | 1.49 | 0.00 | 6.74 | 0.00 | 1.49 | 4.04 |
time (sec) |
N/A | 0.488 | 0.410 | 0.797 | 0.000 | 0.273 | 0.000 | 0.263 | 2.216 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 39 | 50 | 102 | 110 | 434 | 0 | 106 | 88 |
N.S. |
1 | 0.98 | 1.25 | 2.55 | 2.75 | 10.85 | 0.00 | 2.65 | 2.20 |
time (sec) |
N/A | 0.259 | 3.290 | 1.824 | 0.191 | 0.272 | 0.000 | 0.272 | 2.139 |
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 | 60 | 62 | 42 | 35 | 36 | 92 | 0 | 42 | 34 |
N.S. |
1 | 1.03 | 0.70 | 0.58 | 0.60 | 1.53 | 0.00 | 0.70 | 0.57 |
time (sec) |
N/A | 0.271 | 0.231 | 1.599 | 0.202 | 0.257 | 0.000 | 0.262 | 2.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 35 | 34 | 24 | 27 | 56 | 0 | 25 | 23 |
N.S. |
1 | 1.40 | 1.36 | 0.96 | 1.08 | 2.24 | 0.00 | 1.00 | 0.92 |
time (sec) |
N/A | 0.434 | 0.036 | 0.555 | 0.192 | 0.245 | 0.000 | 0.265 | 1.989 |
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 | 38 | 40 | 24 | 23 | 22 | 51 | 0 | 30 | 22 |
N.S. |
1 | 1.05 | 0.63 | 0.61 | 0.58 | 1.34 | 0.00 | 0.79 | 0.58 |
time (sec) |
N/A | 0.248 | 0.022 | 0.255 | 0.192 | 0.249 | 0.000 | 0.273 | 0.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 25 | 19 | 12 | 11 | 23 | 0 | 11 | 11 |
N.S. |
1 | 1.47 | 1.12 | 0.71 | 0.65 | 1.35 | 0.00 | 0.65 | 0.65 |
time (sec) |
N/A | 0.367 | 0.019 | 0.146 | 0.202 | 0.252 | 0.000 | 0.266 | 1.894 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 24 | 16 | 19 | 12 | 23 | 0 | 10 | 10 |
N.S. |
1 | 2.40 | 1.60 | 1.90 | 1.20 | 2.30 | 0.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.367 | 0.116 | 0.330 | 0.277 | 0.262 | 0.000 | 0.280 | 1.858 |
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 | 15 | 13 | 10 | 22 | 18 | 78 | 0 | 27 | 21 |
N.S. |
1 | 0.87 | 0.67 | 1.47 | 1.20 | 5.20 | 0.00 | 1.80 | 1.40 |
time (sec) |
N/A | 0.222 | 0.085 | 0.878 | 0.268 | 0.257 | 0.000 | 0.280 | 1.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 30 | 17 | 38 | 33 | 140 | 0 | 25 | 22 |
N.S. |
1 | 1.50 | 0.85 | 1.90 | 1.65 | 7.00 | 0.00 | 1.25 | 1.10 |
time (sec) |
N/A | 0.409 | 0.316 | 2.130 | 0.286 | 0.251 | 0.000 | 0.272 | 1.877 |
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 | 17 | 17 | 14 | 14 | 75 | 84 | 0 | 18 | 18 |
N.S. |
1 | 1.00 | 0.82 | 0.82 | 4.41 | 4.94 | 0.00 | 1.06 | 1.06 |
time (sec) |
N/A | 0.227 | 0.092 | 0.929 | 0.194 | 0.242 | 0.000 | 0.282 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 135 | 48 | 0 | 231 | 0 | 122 | 0 |
N.S. |
1 | 1.00 | 6.43 | 2.29 | 0.00 | 11.00 | 0.00 | 5.81 | 0.00 |
time (sec) |
N/A | 0.228 | 21.225 | 0.179 | 0.000 | 0.268 | 0.000 | 0.269 | 0.000 |
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 | 147 | 242 | 144 | 184 | 154 | 1229 | 0 | 216 | 135 |
N.S. |
1 | 1.65 | 0.98 | 1.25 | 1.05 | 8.36 | 0.00 | 1.47 | 0.92 |
time (sec) |
N/A | 0.626 | 0.937 | 5.811 | 0.202 | 0.271 | 0.000 | 0.275 | 2.305 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 157 | 167 | 174 | 0 | 1873 | 0 | 164 | 262 |
N.S. |
1 | 1.16 | 1.24 | 1.29 | 0.00 | 13.87 | 0.00 | 1.21 | 1.94 |
time (sec) |
N/A | 0.853 | 1.712 | 2.002 | 0.000 | 0.286 | 0.000 | 0.295 | 2.697 |
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 | 85 | 143 | 73 | 100 | 80 | 334 | 0 | 104 | 82 |
N.S. |
1 | 1.68 | 0.86 | 1.18 | 0.94 | 3.93 | 0.00 | 1.22 | 0.96 |
time (sec) |
N/A | 0.375 | 0.463 | 0.586 | 0.203 | 0.262 | 0.000 | 0.268 | 2.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 88 | 79 | 92 | 0 | 431 | 0 | 71 | 158 |
N.S. |
1 | 1.22 | 1.10 | 1.28 | 0.00 | 5.99 | 0.00 | 0.99 | 2.19 |
time (sec) |
N/A | 0.489 | 0.333 | 0.241 | 0.000 | 0.302 | 0.000 | 0.278 | 2.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 60 | 60 | 54 | 0 | 200 | 0 | 48 | 164 |
N.S. |
1 | 1.20 | 1.20 | 1.08 | 0.00 | 4.00 | 0.00 | 0.96 | 3.28 |
time (sec) |
N/A | 0.377 | 0.240 | 0.441 | 0.000 | 0.280 | 0.000 | 0.280 | 4.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 35 | 19 | 51 | 46 | 117 | 0 | 76 | 323 |
N.S. |
1 | 1.21 | 0.66 | 1.76 | 1.59 | 4.03 | 0.00 | 2.62 | 11.14 |
time (sec) |
N/A | 0.247 | 0.152 | 1.598 | 0.269 | 0.277 | 0.000 | 0.281 | 2.328 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 98 | 85 | 121 | 0 | 856 | 0 | 102 | 166 |
N.S. |
1 | 1.18 | 1.02 | 1.46 | 0.00 | 10.31 | 0.00 | 1.23 | 2.00 |
time (sec) |
N/A | 0.470 | 0.699 | 4.428 | 0.000 | 0.337 | 0.000 | 0.280 | 4.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 87 | 60 | 145 | 133 | 909 | 0 | 201 | 123 |
N.S. |
1 | 1.10 | 0.76 | 1.84 | 1.68 | 11.51 | 0.00 | 2.54 | 1.56 |
time (sec) |
N/A | 0.310 | 0.308 | 11.103 | 0.285 | 0.292 | 0.000 | 0.275 | 2.118 |
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 | 31 | 33 | 38 | 41 | 38 | 41 | 0 | 26 | 65 |
N.S. |
1 | 1.06 | 1.23 | 1.32 | 1.23 | 1.32 | 0.00 | 0.84 | 2.10 |
time (sec) |
N/A | 0.332 | 0.173 | 0.606 | 0.283 | 0.265 | 0.000 | 0.254 | 0.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 67 | 40 | 44 | 55 | 571 | 0 | 47 | 69 |
N.S. |
1 | 1.56 | 0.93 | 1.02 | 1.28 | 13.28 | 0.00 | 1.09 | 1.60 |
time (sec) |
N/A | 0.607 | 0.250 | 0.159 | 0.285 | 0.260 | 0.000 | 0.298 | 1.958 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 60 | 32 | 30 | 43 | 354 | 0 | 39 | 35 |
N.S. |
1 | 1.62 | 0.86 | 0.81 | 1.16 | 9.57 | 0.00 | 1.05 | 0.95 |
time (sec) |
N/A | 0.513 | 0.191 | 0.155 | 0.276 | 0.276 | 0.000 | 0.261 | 1.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 39 | 34 | 30 | 29 | 186 | 0 | 35 | 29 |
N.S. |
1 | 1.34 | 1.17 | 1.03 | 1.00 | 6.41 | 0.00 | 1.21 | 1.00 |
time (sec) |
N/A | 0.404 | 0.179 | 0.134 | 0.262 | 0.329 | 0.000 | 0.272 | 1.905 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 32 | 31 | 18 | 17 | 73 | 0 | 17 | 17 |
N.S. |
1 | 1.68 | 1.63 | 0.95 | 0.89 | 3.84 | 0.00 | 0.89 | 0.89 |
time (sec) |
N/A | 0.294 | 0.097 | 0.103 | 0.270 | 0.281 | 0.000 | 0.262 | 1.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 14 | 11 | 10 | 26 | 27 | 10 | 14 |
N.S. |
1 | 1.00 | 0.88 | 0.69 | 0.62 | 1.62 | 1.69 | 0.62 | 0.88 |
time (sec) |
N/A | 0.174 | 0.010 | 0.035 | 0.179 | 0.274 | 0.252 | 0.268 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 24 | 18 | 11 | 10 | 26 | 27 | 10 | 12 |
N.S. |
1 | 1.50 | 1.12 | 0.69 | 0.62 | 1.62 | 1.69 | 0.62 | 0.75 |
time (sec) |
N/A | 0.192 | 0.049 | 0.049 | 0.177 | 0.264 | 0.253 | 0.279 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 24 | 47 | 18 | 24 | 73 | 92 | 18 | 21 |
N.S. |
1 | 1.26 | 2.47 | 0.95 | 1.26 | 3.84 | 4.84 | 0.95 | 1.11 |
time (sec) |
N/A | 0.220 | 0.185 | 0.065 | 0.180 | 0.268 | 0.315 | 0.270 | 1.858 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 44 | 47 | 28 | 38 | 196 | 160 | 36 | 21 |
N.S. |
1 | 1.42 | 1.52 | 0.90 | 1.23 | 6.32 | 5.16 | 1.16 | 0.68 |
time (sec) |
N/A | 0.334 | 0.195 | 0.134 | 0.189 | 0.264 | 0.472 | 0.265 | 1.877 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 49 | 54 | 30 | 54 | 357 | 197 | 40 | 29 |
N.S. |
1 | 1.32 | 1.46 | 0.81 | 1.46 | 9.65 | 5.32 | 1.08 | 0.78 |
time (sec) |
N/A | 0.414 | 0.210 | 0.152 | 0.185 | 0.255 | 0.595 | 0.272 | 0.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 56 | 39 | 35 | 0 | 259 | 0 | 135 | 34 |
N.S. |
1 | 1.24 | 0.87 | 0.78 | 0.00 | 5.76 | 0.00 | 3.00 | 0.76 |
time (sec) |
N/A | 0.332 | 0.794 | 0.064 | 0.000 | 0.263 | 0.000 | 0.285 | 1.956 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 41 | 32 | 26 | 0 | 131 | 0 | 71 | 25 |
N.S. |
1 | 1.28 | 1.00 | 0.81 | 0.00 | 4.09 | 0.00 | 2.22 | 0.78 |
time (sec) |
N/A | 0.258 | 0.579 | 0.074 | 0.000 | 0.268 | 0.000 | 0.306 | 1.926 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 41 | 30 | 25 | 0 | 85 | 0 | 64 | 24 |
N.S. |
1 | 1.37 | 1.00 | 0.83 | 0.00 | 2.83 | 0.00 | 2.13 | 0.80 |
time (sec) |
N/A | 0.260 | 0.537 | 0.082 | 0.000 | 0.255 | 0.000 | 0.289 | 1.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 57 | 36 | 35 | 0 | 166 | 0 | 89 | 32 |
N.S. |
1 | 1.16 | 0.73 | 0.71 | 0.00 | 3.39 | 0.00 | 1.82 | 0.65 |
time (sec) |
N/A | 0.328 | 0.653 | 0.073 | 0.000 | 0.282 | 0.000 | 0.281 | 1.967 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 45 | 35 | 0 | 436 | 0 | 197 | 34 |
N.S. |
1 | 1.00 | 1.00 | 0.78 | 0.00 | 9.69 | 0.00 | 4.38 | 0.76 |
time (sec) |
N/A | 0.338 | 1.013 | 0.081 | 0.000 | 0.277 | 0.000 | 0.311 | 1.976 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 37 | 26 | 0 | 242 | 0 | 133 | 25 |
N.S. |
1 | 1.00 | 1.09 | 0.76 | 0.00 | 7.12 | 0.00 | 3.91 | 0.74 |
time (sec) |
N/A | 0.262 | 0.808 | 0.084 | 0.000 | 0.257 | 0.000 | 0.297 | 1.961 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 37 | 35 | 0 | 189 | 0 | 88 | 36 |
N.S. |
1 | 1.00 | 0.88 | 0.83 | 0.00 | 4.50 | 0.00 | 2.10 | 0.86 |
time (sec) |
N/A | 0.326 | 0.892 | 0.087 | 0.000 | 0.264 | 0.000 | 0.312 | 1.951 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 48 | 35 | 0 | 166 | 0 | 113 | 31 |
N.S. |
1 | 1.00 | 0.98 | 0.71 | 0.00 | 3.39 | 0.00 | 2.31 | 0.63 |
time (sec) |
N/A | 0.359 | 0.912 | 0.086 | 0.000 | 0.269 | 0.000 | 0.283 | 1.943 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 131 | 112 | 107 | 146 | 1294 | 0 | 141 | 163 |
N.S. |
1 | 1.35 | 1.15 | 1.10 | 1.51 | 13.34 | 0.00 | 1.45 | 1.68 |
time (sec) |
N/A | 1.076 | 0.931 | 0.222 | 0.287 | 0.293 | 0.000 | 0.274 | 2.372 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 109 | 91 | 78 | 94 | 637 | 0 | 97 | 111 |
N.S. |
1 | 1.43 | 1.20 | 1.03 | 1.24 | 8.38 | 0.00 | 1.28 | 1.46 |
time (sec) |
N/A | 0.794 | 0.443 | 0.178 | 0.274 | 0.285 | 0.000 | 0.273 | 2.270 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 77 | 74 | 66 | 67 | 264 | 0 | 74 | 73 |
N.S. |
1 | 1.28 | 1.23 | 1.10 | 1.12 | 4.40 | 0.00 | 1.23 | 1.22 |
time (sec) |
N/A | 0.570 | 0.406 | 0.140 | 0.275 | 0.275 | 0.000 | 0.278 | 2.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 63 | 66 | 44 | 50 | 73 | 0 | 57 | 58 |
N.S. |
1 | 1.24 | 1.29 | 0.86 | 0.98 | 1.43 | 0.00 | 1.12 | 1.14 |
time (sec) |
N/A | 0.402 | 0.270 | 0.122 | 0.261 | 0.262 | 0.000 | 0.267 | 0.345 |
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 | 39 | 39 | 49 | 38 | 37 | 42 | 148 | 43 | 42 |
N.S. |
1 | 1.00 | 1.26 | 0.97 | 0.95 | 1.08 | 3.79 | 1.10 | 1.08 |
time (sec) |
N/A | 0.285 | 0.213 | 0.101 | 0.184 | 0.250 | 0.444 | 0.287 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 48 | 50 | 39 | 36 | 43 | 134 | 43 | 42 |
N.S. |
1 | 1.23 | 1.28 | 1.00 | 0.92 | 1.10 | 3.44 | 1.10 | 1.08 |
time (sec) |
N/A | 0.309 | 0.088 | 0.072 | 0.186 | 0.257 | 0.442 | 0.279 | 0.069 |
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 | 63 | 61 | 59 | 56 | 63 | 76 | 372 | 59 | 57 |
N.S. |
1 | 0.97 | 0.94 | 0.89 | 1.00 | 1.21 | 5.90 | 0.94 | 0.90 |
time (sec) |
N/A | 0.453 | 0.142 | 0.109 | 0.186 | 0.271 | 0.712 | 0.273 | 2.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 81 | 65 | 67 | 82 | 271 | 636 | 76 | 74 |
N.S. |
1 | 1.27 | 1.02 | 1.05 | 1.28 | 4.23 | 9.94 | 1.19 | 1.16 |
time (sec) |
N/A | 0.535 | 0.266 | 0.113 | 0.191 | 0.271 | 1.054 | 0.261 | 2.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 99 | 77 | 76 | 119 | 648 | 882 | 100 | 110 |
N.S. |
1 | 1.30 | 1.01 | 1.00 | 1.57 | 8.53 | 11.61 | 1.32 | 1.45 |
time (sec) |
N/A | 0.709 | 0.437 | 0.171 | 0.188 | 0.286 | 1.418 | 0.281 | 2.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 131 | 92 | 96 | 169 | 1299 | 1013 | 143 | 164 |
N.S. |
1 | 1.39 | 0.98 | 1.02 | 1.80 | 13.82 | 10.78 | 1.52 | 1.74 |
time (sec) |
N/A | 0.971 | 0.491 | 0.204 | 0.191 | 0.302 | 2.245 | 0.285 | 2.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 58 | 49 | 73 | 68 | 184 | 0 | 169 | 68 |
N.S. |
1 | 1.07 | 0.91 | 1.35 | 1.26 | 3.41 | 0.00 | 3.13 | 1.26 |
time (sec) |
N/A | 0.391 | 0.183 | 0.873 | 0.338 | 0.264 | 0.000 | 0.296 | 2.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 28 | 64 | 24 | 36 | 28 | 0 | 24 | 23 |
N.S. |
1 | 0.93 | 2.13 | 0.80 | 1.20 | 0.93 | 0.00 | 0.80 | 0.77 |
time (sec) |
N/A | 0.228 | 0.032 | 0.120 | 0.212 | 0.249 | 0.000 | 0.269 | 1.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 53 | 64 | 83 | 48 | 62 | 0 | 54 | 39 |
N.S. |
1 | 1.18 | 1.42 | 1.84 | 1.07 | 1.38 | 0.00 | 1.20 | 0.87 |
time (sec) |
N/A | 0.234 | 0.274 | 0.113 | 0.265 | 0.260 | 0.000 | 0.271 | 1.959 |
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 | 23 | 23 | 26 | 37 | 36 | 33 | 0 | 37 | 25 |
N.S. |
1 | 1.00 | 1.13 | 1.61 | 1.57 | 1.43 | 0.00 | 1.61 | 1.09 |
time (sec) |
N/A | 0.207 | 0.213 | 0.102 | 0.188 | 0.252 | 0.000 | 0.294 | 1.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 47 | 58 | 71 | 45 | 58 | 0 | 51 | 36 |
N.S. |
1 | 1.18 | 1.45 | 1.78 | 1.12 | 1.45 | 0.00 | 1.28 | 0.90 |
time (sec) |
N/A | 0.202 | 0.212 | 0.085 | 0.285 | 0.244 | 0.000 | 0.276 | 1.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 16 | 21 | 11 | 10 | 18 | 27 | 21 | 18 |
N.S. |
1 | 1.33 | 1.75 | 0.92 | 0.83 | 1.50 | 2.25 | 1.75 | 1.50 |
time (sec) |
N/A | 0.203 | 0.038 | 0.122 | 0.176 | 0.252 | 0.464 | 0.263 | 1.965 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 54 | 62 | 88 | 47 | 54 | 0 | 52 | 37 |
N.S. |
1 | 1.32 | 1.51 | 2.15 | 1.15 | 1.32 | 0.00 | 1.27 | 0.90 |
time (sec) |
N/A | 0.231 | 0.203 | 0.093 | 0.270 | 0.261 | 0.000 | 0.282 | 1.889 |
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 | 21 | 21 | 27 | 35 | 30 | 38 | 0 | 33 | 25 |
N.S. |
1 | 1.00 | 1.29 | 1.67 | 1.43 | 1.81 | 0.00 | 1.57 | 1.19 |
time (sec) |
N/A | 0.214 | 0.187 | 0.092 | 0.180 | 0.265 | 0.000 | 0.276 | 1.876 |
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 | 47 | 49 | 86 | 41 | 53 | 61 | 0 | 40 | 40 |
N.S. |
1 | 1.04 | 1.83 | 0.87 | 1.13 | 1.30 | 0.00 | 0.85 | 0.85 |
time (sec) |
N/A | 0.252 | 0.121 | 0.074 | 0.182 | 0.271 | 0.000 | 0.293 | 1.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 89 | 154 | 100 | 66 | 104 | 0 | 72 | 60 |
N.S. |
1 | 1.31 | 2.26 | 1.47 | 0.97 | 1.53 | 0.00 | 1.06 | 0.88 |
time (sec) |
N/A | 0.300 | 3.167 | 0.097 | 0.263 | 0.289 | 0.000 | 0.277 | 1.983 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 53 | 163 | 54 | 53 | 74 | 0 | 54 | 42 |
N.S. |
1 | 1.29 | 3.98 | 1.32 | 1.29 | 1.80 | 0.00 | 1.32 | 1.02 |
time (sec) |
N/A | 0.265 | 3.669 | 0.081 | 0.186 | 0.279 | 0.000 | 0.262 | 1.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 153 | 86 | 60 | 97 | 0 | 66 | 54 |
N.S. |
1 | 1.00 | 2.55 | 1.43 | 1.00 | 1.62 | 0.00 | 1.10 | 0.90 |
time (sec) |
N/A | 0.231 | 2.601 | 0.097 | 0.267 | 0.266 | 0.000 | 0.280 | 1.893 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 28 | 18 | 19 | 28 | 63 | 21 | 28 |
N.S. |
1 | 1.00 | 2.00 | 1.29 | 1.36 | 2.00 | 4.50 | 1.50 | 2.00 |
time (sec) |
N/A | 0.213 | 0.067 | 0.087 | 0.195 | 0.271 | 1.921 | 0.287 | 1.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 93 | 153 | 104 | 69 | 97 | 0 | 77 | 60 |
N.S. |
1 | 1.08 | 1.78 | 1.21 | 0.80 | 1.13 | 0.00 | 0.90 | 0.70 |
time (sec) |
N/A | 0.296 | 3.350 | 0.127 | 0.267 | 0.269 | 0.000 | 0.279 | 1.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 155 | 55 | 50 | 82 | 0 | 57 | 48 |
N.S. |
1 | 1.00 | 2.58 | 0.92 | 0.83 | 1.37 | 0.00 | 0.95 | 0.80 |
time (sec) |
N/A | 0.275 | 3.329 | 0.123 | 0.192 | 0.259 | 0.000 | 0.275 | 1.920 |
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 | 59 | 59 | 46 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 97 | 77 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.312 | 0.241 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 177 | 198 | 108 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 0.284 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 259 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 0.610 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 126 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.296 | 0.785 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 83 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.661 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 108 | 111 | 125 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 0.841 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 162 | 177 | 142 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.305 | 0.879 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 194 | 209 | 223 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 1.261 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 171 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.629 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 171 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 0.682 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 171 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 0.692 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 94 | 198 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.62 | 3.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.328 | 7.481 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 62 | 98 | 207 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.58 | 3.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.337 | 5.200 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 90 | 193 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.67 | 3.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 7.248 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 52 | 87 | 198 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.67 | 3.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 8.422 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 29 | 40 | 25 | 24 | 76 | 46 | 74 | 34 |
N.S. |
1 | 1.16 | 1.60 | 1.00 | 0.96 | 3.04 | 1.84 | 2.96 | 1.36 |
time (sec) |
N/A | 0.221 | 0.076 | 0.217 | 0.175 | 0.261 | 4.792 | 0.364 | 1.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 92 | 197 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.59 | 3.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.326 | 3.876 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 91 | 191 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.65 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 4.051 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 132 | 182 | 155 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.38 | 1.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.511 | 7.191 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 136 | 186 | 165 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.37 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 4.621 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 180 | 151 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.38 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.470 | 6.751 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 176 | 160 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.40 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 8.395 | 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 | C | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 49 | 47 | 37 | 72 | 0 | 37 | 34 |
N.S. |
1 | 1.18 | 1.75 | 1.68 | 1.32 | 2.57 | 0.00 | 1.32 | 1.21 |
time (sec) |
N/A | 0.232 | 0.169 | 0.223 | 0.253 | 0.274 | 0.000 | 0.372 | 1.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 134 | 181 | 158 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.35 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 3.917 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 135 | 182 | 156 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.35 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.478 | 3.645 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 53 | 52 | 56 | 330 | 572 | 0 | 127 | 95 |
N.S. |
1 | 1.23 | 1.21 | 1.30 | 7.67 | 13.30 | 0.00 | 2.95 | 2.21 |
time (sec) |
N/A | 0.295 | 0.239 | 0.468 | 0.265 | 0.301 | 0.000 | 0.383 | 1.889 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F(-2) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 47 | 44 | 44 | 499 | 171 | 0 | 67 | 163 |
N.S. |
1 | 1.04 | 0.98 | 0.98 | 11.09 | 3.80 | 0.00 | 1.49 | 3.62 |
time (sec) |
N/A | 0.303 | 0.124 | 0.815 | 0.272 | 0.275 | 0.000 | 0.395 | 1.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 75 | 67 | 71 | 855 | 1576 | 0 | 161 | 229 |
N.S. |
1 | 1.14 | 1.02 | 1.08 | 12.95 | 23.88 | 0.00 | 2.44 | 3.47 |
time (sec) |
N/A | 0.381 | 0.304 | 1.680 | 0.323 | 0.277 | 0.000 | 0.400 | 1.876 |
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 | 87 | 123 | 158 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.41 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.369 | 13.623 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 168 | 212 | 312 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 14.696 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 306 | 361 | 600 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 1.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.773 | 16.670 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 387 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.393 | 1.207 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 174 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.441 | 1.250 | 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 | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 62 | 76 | 0 | 626 | 0 | 0 | 65 |
N.S. |
1 | 1.00 | 0.85 | 1.04 | 0.00 | 8.58 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.336 | 0.333 | 1.283 | 0.000 | 0.268 | 0.000 | 0.000 | 2.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 71 | 57 | 74 | 0 | 334 | 0 | 0 | 51 |
N.S. |
1 | 1.01 | 0.81 | 1.06 | 0.00 | 4.77 | 0.00 | 0.00 | 0.73 |
time (sec) |
N/A | 0.332 | 0.166 | 0.487 | 0.000 | 0.262 | 0.000 | 0.000 | 2.613 |