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 | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 40 | 27 | 24 | 30 | 23 | 46 | 30 | 24 |
N.S. |
1 | 1.48 | 1.00 | 0.89 | 1.11 | 0.85 | 1.70 | 1.11 | 0.89 |
time (sec) |
N/A | 0.184 | 0.027 | 0.793 | 0.195 | 0.255 | 0.192 | 0.266 | 5.382 |
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 | 27 | 41 | 27 | 24 | 29 | 23 | 0 | 23 | 35 |
N.S. |
1 | 1.52 | 1.00 | 0.89 | 1.07 | 0.85 | 0.00 | 0.85 | 1.30 |
time (sec) |
N/A | 0.178 | 0.148 | 0.824 | 0.193 | 0.243 | 0.000 | 0.272 | 5.287 |
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 | 27 | 27 | 27 | 20 | 37 | 63 | 22 | 23 | 19 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 1.37 | 2.33 | 0.81 | 0.85 | 0.70 |
time (sec) |
N/A | 0.167 | 0.025 | 1.253 | 0.262 | 0.246 | 0.521 | 0.273 | 5.421 |
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 | 27 | 41 | 27 | 24 | 37 | 23 | 0 | 23 | 35 |
N.S. |
1 | 1.52 | 1.00 | 0.89 | 1.37 | 0.85 | 0.00 | 0.85 | 1.30 |
time (sec) |
N/A | 0.187 | 10.021 | 0.887 | 0.189 | 0.250 | 0.000 | 0.273 | 6.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 21 | 20 | 20 | 85 | 20 | 174 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 0.71 | 0.71 | 3.04 | 0.71 | 6.21 |
time (sec) |
N/A | 0.164 | 0.018 | 2.528 | 0.295 | 0.236 | 0.713 | 0.276 | 5.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 23 | 20 | 25 | 24 | 134 | 0 | 39 |
N.S. |
1 | 1.18 | 0.82 | 0.71 | 0.89 | 0.86 | 4.79 | 0.00 | 1.39 |
time (sec) |
N/A | 0.160 | 0.103 | 0.812 | 0.193 | 0.241 | 1.056 | 0.000 | 0.190 |
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 | 28 | 28 | 28 | 21 | 34 | 34 | 48 | 35 | 174 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 1.21 | 1.21 | 1.71 | 1.25 | 6.21 |
time (sec) |
N/A | 0.158 | 0.021 | 1.841 | 0.196 | 0.236 | 0.647 | 0.259 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 28 | 20 | 25 | 24 | 423 | 0 | 39 |
N.S. |
1 | 1.18 | 1.00 | 0.71 | 0.89 | 0.86 | 15.11 | 0.00 | 1.39 |
time (sec) |
N/A | 0.161 | 0.105 | 0.803 | 0.194 | 0.250 | 1.131 | 0.000 | 5.459 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 28 | 20 | 25 | 24 | 428 | 0 | 24 |
N.S. |
1 | 1.18 | 1.00 | 0.71 | 0.89 | 0.86 | 15.29 | 0.00 | 0.86 |
time (sec) |
N/A | 0.160 | 0.126 | 0.836 | 0.194 | 0.245 | 1.299 | 0.000 | 5.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 28 | 18 | 25 | 22 | 139 | 0 | 22 |
N.S. |
1 | 1.18 | 1.00 | 0.64 | 0.89 | 0.79 | 4.96 | 0.00 | 0.79 |
time (sec) |
N/A | 0.159 | 0.097 | 0.818 | 0.189 | 0.248 | 1.248 | 0.000 | 5.247 |
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 | 28 | 54 | 28 | 25 | 31 | 24 | 0 | 28 | 24 |
N.S. |
1 | 1.93 | 1.00 | 0.89 | 1.11 | 0.86 | 0.00 | 1.00 | 0.86 |
time (sec) |
N/A | 0.201 | 4.880 | 0.833 | 0.282 | 0.249 | 0.000 | 0.272 | 5.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 56 | 70 | 17 | 0 | 18 | 0 | 0 | 17 |
N.S. |
1 | 2.00 | 2.50 | 0.61 | 0.00 | 0.64 | 0.00 | 0.00 | 0.61 |
time (sec) |
N/A | 0.291 | 10.026 | 0.953 | 0.000 | 0.265 | 0.000 | 0.000 | 5.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | C | F | A | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 547 | 57 | 86 | 0 | 47 | 0 | 0 | 165 |
N.S. |
1 | 19.54 | 2.04 | 3.07 | 0.00 | 1.68 | 0.00 | 0.00 | 5.89 |
time (sec) |
N/A | 1.023 | 0.762 | 1.188 | 0.000 | 0.267 | 0.000 | 0.000 | 5.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 49 | 124 | 25 | 0 | 24 | 0 | 23 | 39 |
N.S. |
1 | 1.75 | 4.43 | 0.89 | 0.00 | 0.86 | 0.00 | 0.82 | 1.39 |
time (sec) |
N/A | 0.360 | 10.087 | 0.826 | 0.000 | 0.243 | 0.000 | 0.285 | 5.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 54 | 28 | 25 | 25 | 27 | 571 | 0 | 49 |
N.S. |
1 | 1.93 | 1.00 | 0.89 | 0.89 | 0.96 | 20.39 | 0.00 | 1.75 |
time (sec) |
N/A | 0.187 | 0.101 | 0.836 | 0.185 | 0.253 | 1.519 | 0.000 | 5.149 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 23 | 20 | 25 | 24 | 425 | 0 | 39 |
N.S. |
1 | 1.18 | 0.82 | 0.71 | 0.89 | 0.86 | 15.18 | 0.00 | 1.39 |
time (sec) |
N/A | 0.162 | 0.110 | 0.776 | 0.192 | 0.255 | 1.237 | 0.000 | 5.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 49 | 125 | 25 | 0 | 24 | 0 | 23 | 39 |
N.S. |
1 | 1.75 | 4.46 | 0.89 | 0.00 | 0.86 | 0.00 | 0.82 | 1.39 |
time (sec) |
N/A | 0.347 | 10.075 | 0.811 | 0.000 | 0.248 | 0.000 | 0.277 | 5.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 28 | 19 | 0 | 40 | 0 | 0 | 45 |
N.S. |
1 | 0.00 | 1.00 | 0.68 | 0.00 | 1.43 | 0.00 | 0.00 | 1.61 |
time (sec) |
N/A | 0.000 | 0.785 | 1.899 | 0.000 | 0.254 | 0.000 | 0.000 | 7.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 23 | 20 | 25 | 24 | 428 | 0 | 39 |
N.S. |
1 | 1.18 | 0.82 | 0.71 | 0.89 | 0.86 | 15.29 | 0.00 | 1.39 |
time (sec) |
N/A | 0.164 | 0.152 | 0.813 | 0.180 | 0.240 | 1.689 | 0.000 | 5.545 |
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 | 28 | 28 | 28 | 21 | 34 | 34 | 39 | 34 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 1.21 | 1.21 | 1.39 | 1.21 | 0.71 |
time (sec) |
N/A | 0.160 | 0.018 | 0.816 | 0.218 | 0.253 | 0.659 | 0.262 | 5.385 |
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 | 28 | 37 | 25 | 25 | 30 | 24 | 0 | 30 | 24 |
N.S. |
1 | 1.32 | 0.89 | 0.89 | 1.07 | 0.86 | 0.00 | 1.07 | 0.86 |
time (sec) |
N/A | 0.179 | 10.023 | 0.839 | 0.263 | 0.235 | 0.000 | 0.273 | 5.242 |
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 | 28 | 33 | 28 | 25 | 34 | 24 | 0 | 19 | 22 |
N.S. |
1 | 1.18 | 1.00 | 0.89 | 1.21 | 0.86 | 0.00 | 0.68 | 0.79 |
time (sec) |
N/A | 0.172 | 10.021 | 0.819 | 0.277 | 0.243 | 0.000 | 0.272 | 5.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | A | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 534 | 28 | 96 | 0 | 41 | 0 | 0 | 0 |
N.S. |
1 | 19.07 | 1.00 | 3.43 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.862 | 0.710 | 2.155 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 50 | 28 | 25 | 42 | 24 | 167 | 0 | 39 |
N.S. |
1 | 1.79 | 1.00 | 0.89 | 1.50 | 0.86 | 5.96 | 0.00 | 1.39 |
time (sec) |
N/A | 0.319 | 3.298 | 0.855 | 0.301 | 0.242 | 1.945 | 0.000 | 5.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 52 | 28 | 25 | 42 | 24 | 177 | 0 | 39 |
N.S. |
1 | 1.86 | 1.00 | 0.89 | 1.50 | 0.86 | 6.32 | 0.00 | 1.39 |
time (sec) |
N/A | 0.300 | 0.659 | 0.963 | 0.292 | 0.252 | 2.506 | 0.000 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 52 | 28 | 25 | 40 | 24 | 189 | 0 | 39 |
N.S. |
1 | 1.86 | 1.00 | 0.89 | 1.43 | 0.86 | 6.75 | 0.00 | 1.39 |
time (sec) |
N/A | 0.304 | 0.650 | 0.984 | 0.307 | 0.239 | 2.544 | 0.000 | 5.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 18 | 41 | 7 | 0 | 26 | 0 | 22 | 0 |
N.S. |
1 | 0.64 | 1.46 | 0.25 | 0.00 | 0.93 | 0.00 | 0.79 | 0.00 |
time (sec) |
N/A | 0.158 | 0.028 | 0.822 | 0.000 | 0.243 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 55 | 20 | 16 | 0 | 16 | 0 | 19 | 16 |
N.S. |
1 | 1.96 | 0.71 | 0.57 | 0.00 | 0.57 | 0.00 | 0.68 | 0.57 |
time (sec) |
N/A | 0.253 | 0.171 | 0.926 | 0.000 | 0.251 | 0.000 | 0.281 | 5.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 50 | 28 | 25 | 42 | 24 | 168 | 0 | 39 |
N.S. |
1 | 1.79 | 1.00 | 0.89 | 1.50 | 0.86 | 6.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.331 | 3.222 | 0.777 | 0.305 | 0.241 | 2.038 | 0.000 | 0.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 49 | 123 | 25 | 0 | 24 | 0 | 0 | 39 |
N.S. |
1 | 1.75 | 4.39 | 0.89 | 0.00 | 0.86 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.322 | 10.087 | 0.896 | 0.000 | 0.247 | 0.000 | 0.000 | 5.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 21 | 20 | 20 | 88 | 20 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 0.71 | 0.71 | 3.14 | 0.71 | 0.71 |
time (sec) |
N/A | 0.155 | 0.018 | 0.903 | 0.302 | 0.246 | 0.714 | 0.274 | 5.143 |
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 | 28 | 28 | 24 | 21 | 34 | 34 | 36 | 34 | 20 |
N.S. |
1 | 1.00 | 0.86 | 0.75 | 1.21 | 1.21 | 1.29 | 1.21 | 0.71 |
time (sec) |
N/A | 0.166 | 0.031 | 0.846 | 0.274 | 0.248 | 4.207 | 0.266 | 5.140 |
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 | 28 | 28 | 28 | 21 | 34 | 34 | 39 | 34 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 1.21 | 1.21 | 1.39 | 1.21 | 0.71 |
time (sec) |
N/A | 0.158 | 0.019 | 0.825 | 0.197 | 0.250 | 0.639 | 0.260 | 5.109 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 23 | 20 | 25 | 24 | 423 | 0 | 24 |
N.S. |
1 | 1.18 | 0.82 | 0.71 | 0.89 | 0.86 | 15.11 | 0.00 | 0.86 |
time (sec) |
N/A | 0.156 | 0.423 | 0.901 | 0.187 | 0.241 | 2.045 | 0.000 | 5.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 49 | 126 | 25 | 0 | 24 | 0 | 0 | 39 |
N.S. |
1 | 1.75 | 4.50 | 0.89 | 0.00 | 0.86 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.350 | 10.087 | 0.908 | 0.000 | 0.263 | 0.000 | 0.000 | 5.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 28 | 25 | 46 | 24 | 143 | 0 | 39 |
N.S. |
1 | 1.18 | 1.00 | 0.89 | 1.64 | 0.86 | 5.11 | 0.00 | 1.39 |
time (sec) |
N/A | 0.285 | 1.914 | 0.918 | 0.317 | 0.257 | 2.150 | 0.000 | 0.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 33 | 23 | 20 | 25 | 24 | 425 | 0 | 24 |
N.S. |
1 | 1.18 | 0.82 | 0.71 | 0.89 | 0.86 | 15.18 | 0.00 | 0.86 |
time (sec) |
N/A | 0.154 | 0.948 | 0.905 | 0.202 | 0.238 | 2.085 | 0.000 | 5.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 64 | 0 | 53 | 0 | 58 | 236 |
N.S. |
1 | 1.00 | 1.00 | 2.29 | 0.00 | 1.89 | 0.00 | 2.07 | 8.43 |
time (sec) |
N/A | 0.623 | 0.072 | 2.308 | 0.000 | 0.240 | 0.000 | 0.274 | 6.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 0 | 0 | 0 | 151 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 5.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.613 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | B | F | F | B |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 0 | 0 | 0 | 146 | 0 | 0 | 48 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 5.21 | 0.00 | 0.00 | 1.71 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.359 | 0.000 | 0.000 | 6.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 0 | 0 | 0 | 138 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 4.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.637 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 75 | 28 | 25 | 37 | 31 | 71 | 0 | 24 |
N.S. |
1 | 2.68 | 1.00 | 0.89 | 1.32 | 1.11 | 2.54 | 0.00 | 0.86 |
time (sec) |
N/A | 0.210 | 0.252 | 0.859 | 0.280 | 0.251 | 1.541 | 0.000 | 5.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 264 | 29 | 43 | 0 | 42 | 0 | 0 | 25 |
N.S. |
1 | 9.10 | 1.00 | 1.48 | 0.00 | 1.45 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 1.301 | 0.051 | 2.539 | 0.000 | 0.255 | 0.000 | 0.000 | 5.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 23 | 29 | 43 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 1.00 | 1.48 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.177 | 0.039 | 2.804 | 0.000 | 0.261 | 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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 27 | 29 | 43 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.00 | 1.48 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 0.041 | 2.740 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 33 | 29 | 36 | 35 | 35 | 32 | 36 | 21 |
N.S. |
1 | 1.14 | 1.00 | 1.24 | 1.21 | 1.21 | 1.10 | 1.24 | 0.72 |
time (sec) |
N/A | 0.162 | 0.021 | 1.862 | 0.263 | 0.253 | 0.421 | 0.265 | 5.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 22 | 21 | 64 | 60 | 21 | 37 |
N.S. |
1 | 1.00 | 1.00 | 0.76 | 0.72 | 2.21 | 2.07 | 0.72 | 1.28 |
time (sec) |
N/A | 0.158 | 0.024 | 2.170 | 0.272 | 0.252 | 0.555 | 0.261 | 5.748 |
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 | 29 | 44 | 29 | 26 | 34 | 25 | 48 | 34 | 25 |
N.S. |
1 | 1.52 | 1.00 | 0.90 | 1.17 | 0.86 | 1.66 | 1.17 | 0.86 |
time (sec) |
N/A | 0.173 | 0.025 | 0.787 | 0.187 | 0.243 | 0.180 | 0.265 | 5.373 |
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 | 29 | 46 | 29 | 27 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.59 | 1.00 | 0.93 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 0.324 | 1.891 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 35 | 29 | 24 | 56 | 48 | 0 | 26 | 25 |
N.S. |
1 | 1.21 | 1.00 | 0.83 | 1.93 | 1.66 | 0.00 | 0.90 | 0.86 |
time (sec) |
N/A | 0.226 | 0.309 | 0.546 | 0.252 | 0.264 | 0.000 | 0.274 | 0.136 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 29 | 153 | 0 | 48 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 5.28 | 0.00 | 1.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.270 | 0.967 | 0.000 | 0.246 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 39 | 35 | 28 | 0 | 27 | 0 | 61 | 0 |
N.S. |
1 | 1.34 | 1.21 | 0.97 | 0.00 | 0.93 | 0.00 | 2.10 | 0.00 |
time (sec) |
N/A | 0.225 | 0.074 | 3.585 | 0.000 | 0.263 | 0.000 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 22 | 21 | 64 | 53 | 21 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.76 | 0.72 | 2.21 | 1.83 | 0.72 | 0.72 |
time (sec) |
N/A | 0.161 | 0.022 | 2.648 | 0.282 | 0.253 | 0.521 | 0.265 | 5.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 29 | 27 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.93 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.731 | 2.899 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 29 | 27 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.93 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.737 | 2.865 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
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 | 30 | 44 | 25 | 22 | 28 | 26 | 53 | 28 | 26 |
N.S. |
1 | 1.47 | 0.83 | 0.73 | 0.93 | 0.87 | 1.77 | 0.93 | 0.87 |
time (sec) |
N/A | 0.172 | 0.017 | 0.846 | 0.191 | 0.239 | 0.148 | 0.261 | 5.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 44 | 30 | 17 | 28 | 26 | 56 | 28 | 25 |
N.S. |
1 | 1.47 | 1.00 | 0.57 | 0.93 | 0.87 | 1.87 | 0.93 | 0.83 |
time (sec) |
N/A | 0.168 | 0.017 | 0.819 | 0.196 | 0.233 | 0.820 | 0.257 | 5.184 |
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 | 30 | 60 | 30 | 27 | 34 | 26 | 0 | 41 | 26 |
N.S. |
1 | 2.00 | 1.00 | 0.90 | 1.13 | 0.87 | 0.00 | 1.37 | 0.87 |
time (sec) |
N/A | 0.217 | 4.944 | 0.844 | 0.192 | 0.247 | 0.000 | 0.272 | 5.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 66 | 28 | 25 | 0 | 26 | 0 | 41 | 49 |
N.S. |
1 | 2.20 | 0.93 | 0.83 | 0.00 | 0.87 | 0.00 | 1.37 | 1.63 |
time (sec) |
N/A | 0.214 | 0.120 | 0.855 | 0.000 | 0.256 | 0.000 | 0.272 | 5.204 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 55 | 119 | 27 | 0 | 26 | 0 | 0 | 45 |
N.S. |
1 | 1.83 | 3.97 | 0.90 | 0.00 | 0.87 | 0.00 | 0.00 | 1.50 |
time (sec) |
N/A | 0.369 | 10.088 | 0.937 | 0.000 | 0.255 | 0.000 | 0.000 | 5.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 54 | 52 | 20 | 0 | 25 | 0 | 0 | 206 |
N.S. |
1 | 1.80 | 1.73 | 0.67 | 0.00 | 0.83 | 0.00 | 0.00 | 6.87 |
time (sec) |
N/A | 0.405 | 0.214 | 2.416 | 0.000 | 0.260 | 0.000 | 0.000 | 0.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 62 | 23 | 20 | 0 | 25 | 0 | 19 | 26 |
N.S. |
1 | 2.07 | 0.77 | 0.67 | 0.00 | 0.83 | 0.00 | 0.63 | 0.87 |
time (sec) |
N/A | 0.297 | 10.020 | 1.030 | 0.000 | 0.258 | 0.000 | 0.278 | 4.941 |
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 | 30 | 41 | 30 | 27 | 27 | 26 | 0 | 30 | 26 |
N.S. |
1 | 1.37 | 1.00 | 0.90 | 0.90 | 0.87 | 0.00 | 1.00 | 0.87 |
time (sec) |
N/A | 0.172 | 0.112 | 0.884 | 0.199 | 0.241 | 0.000 | 0.278 | 6.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 21 | 28 | 17 | 0 | 26 | 0 | 66 | 0 |
N.S. |
1 | 0.70 | 0.93 | 0.57 | 0.00 | 0.87 | 0.00 | 2.20 | 0.00 |
time (sec) |
N/A | 0.207 | 0.066 | 1.845 | 0.000 | 0.269 | 0.000 | 0.286 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 59 | 20 | 17 | 0 | 18 | 0 | 23 | 18 |
N.S. |
1 | 1.97 | 0.67 | 0.57 | 0.00 | 0.60 | 0.00 | 0.77 | 0.60 |
time (sec) |
N/A | 0.266 | 0.202 | 1.050 | 0.000 | 0.242 | 0.000 | 0.277 | 5.308 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 55 | 117 | 27 | 0 | 26 | 0 | 0 | 45 |
N.S. |
1 | 1.83 | 3.90 | 0.90 | 0.00 | 0.87 | 0.00 | 0.00 | 1.50 |
time (sec) |
N/A | 0.348 | 10.087 | 0.895 | 0.000 | 0.262 | 0.000 | 0.000 | 5.318 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 55 | 117 | 27 | 0 | 26 | 0 | 0 | 45 |
N.S. |
1 | 1.83 | 3.90 | 0.90 | 0.00 | 0.87 | 0.00 | 0.00 | 1.50 |
time (sec) |
N/A | 0.344 | 10.067 | 0.855 | 0.000 | 0.259 | 0.000 | 0.000 | 5.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 30 | 23 | 0 | 127 | 0 | 0 | 37 |
N.S. |
1 | 0.00 | 1.00 | 0.77 | 0.00 | 4.23 | 0.00 | 0.00 | 1.23 |
time (sec) |
N/A | 0.000 | 10.508 | 0.909 | 0.000 | 0.275 | 0.000 | 0.000 | 5.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 30 | 23 | 0 | 137 | 0 | 0 | 38 |
N.S. |
1 | 0.00 | 1.00 | 0.77 | 0.00 | 4.57 | 0.00 | 0.00 | 1.27 |
time (sec) |
N/A | 0.000 | 10.818 | 0.871 | 0.000 | 0.290 | 0.000 | 0.000 | 5.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 30 | 49 | 0 | 53 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.63 | 0.00 | 1.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 5.321 | 1.970 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 30 | 32 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.07 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.825 | 3.328 | 0.000 | 0.521 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 28 | 28 | 24 | 23 | 25 | 80 | 23 | 177 |
N.S. |
1 | 0.90 | 0.90 | 0.77 | 0.74 | 0.81 | 2.58 | 0.74 | 5.71 |
time (sec) |
N/A | 0.166 | 0.022 | 1.981 | 0.273 | 0.232 | 0.949 | 0.271 | 5.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 27 | 31 | 57 | 0 | 65 | 0 | 0 | 275 |
N.S. |
1 | 0.87 | 1.00 | 1.84 | 0.00 | 2.10 | 0.00 | 0.00 | 8.87 |
time (sec) |
N/A | 0.225 | 1.205 | 6.193 | 0.000 | 0.252 | 0.000 | 0.000 | 5.577 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 27 | 31 | 58 | 0 | 26 | 0 | 0 | 273 |
N.S. |
1 | 0.87 | 1.00 | 1.87 | 0.00 | 0.84 | 0.00 | 0.00 | 8.81 |
time (sec) |
N/A | 0.224 | 1.285 | 2.923 | 0.000 | 0.252 | 0.000 | 0.000 | 0.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 31 | 24 | 23 | 27 | 82 | 23 | 177 |
N.S. |
1 | 0.94 | 1.00 | 0.77 | 0.74 | 0.87 | 2.65 | 0.74 | 5.71 |
time (sec) |
N/A | 0.156 | 0.023 | 1.962 | 0.286 | 0.244 | 0.824 | 0.265 | 5.270 |
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 | 29 | 31 | 24 | 37 | 44 | 26 | 38 | 176 |
N.S. |
1 | 0.94 | 1.00 | 0.77 | 1.19 | 1.42 | 0.84 | 1.23 | 5.68 |
time (sec) |
N/A | 0.158 | 0.034 | 2.077 | 0.194 | 0.248 | 0.917 | 0.261 | 0.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 23 | 31 | 42 | 0 | 44 | 0 | 0 | 204 |
N.S. |
1 | 0.74 | 1.00 | 1.35 | 0.00 | 1.42 | 0.00 | 0.00 | 6.58 |
time (sec) |
N/A | 0.196 | 0.937 | 2.490 | 0.000 | 0.250 | 0.000 | 0.000 | 5.160 |
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 | 31 | 31 | 24 | 37 | 44 | 27 | 38 | 177 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 1.19 | 1.42 | 0.87 | 1.23 | 5.71 |
time (sec) |
N/A | 0.157 | 0.026 | 2.060 | 0.196 | 0.244 | 0.810 | 0.260 | 0.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 31 | 46 | 0 | 48 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.48 | 0.00 | 1.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 10.926 | 2.758 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 31 | 28 | 0 | 27 | 0 | 49 | 0 |
N.S. |
1 | 0.94 | 1.00 | 0.90 | 0.00 | 0.87 | 0.00 | 1.58 | 0.00 |
time (sec) |
N/A | 0.207 | 0.158 | 3.185 | 0.000 | 0.274 | 0.000 | 0.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 23 | 31 | 13 | 0 | 27 | 0 | 48 | 0 |
N.S. |
1 | 0.74 | 1.00 | 0.42 | 0.00 | 0.87 | 0.00 | 1.55 | 0.00 |
time (sec) |
N/A | 0.211 | 0.191 | 1.721 | 0.000 | 0.269 | 0.000 | 0.271 | 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 | 31 | 30 | 31 | 23 | 45 | 63 | 20 | 25 | 0 |
N.S. |
1 | 0.97 | 1.00 | 0.74 | 1.45 | 2.03 | 0.65 | 0.81 | 0.00 |
time (sec) |
N/A | 0.159 | 0.238 | 1.122 | 0.281 | 0.255 | 0.483 | 0.269 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 28 | 28 | 27 | 23 | 25 | 71 | 23 | 23 |
N.S. |
1 | 0.90 | 0.90 | 0.87 | 0.74 | 0.81 | 2.29 | 0.74 | 0.74 |
time (sec) |
N/A | 0.156 | 0.024 | 1.233 | 0.275 | 0.248 | 0.981 | 0.258 | 5.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 29 | 31 | 29 | 23 | 27 | 73 | 23 | 23 |
N.S. |
1 | 0.94 | 1.00 | 0.94 | 0.74 | 0.87 | 2.35 | 0.74 | 0.74 |
time (sec) |
N/A | 0.151 | 0.023 | 1.216 | 0.282 | 0.243 | 0.854 | 0.257 | 5.162 |
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 | 31 | 30 | 31 | 27 | 37 | 45 | 53 | 37 | 23 |
N.S. |
1 | 0.97 | 1.00 | 0.87 | 1.19 | 1.45 | 1.71 | 1.19 | 0.74 |
time (sec) |
N/A | 0.164 | 0.035 | 1.147 | 0.281 | 0.255 | 16.620 | 0.264 | 5.212 |
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 | 31 | 31 | 29 | 37 | 44 | 24 | 37 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.19 | 1.42 | 0.77 | 1.19 | 0.74 |
time (sec) |
N/A | 0.152 | 0.024 | 1.129 | 0.198 | 0.233 | 0.856 | 0.269 | 5.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 28 | 58 | 27 | 139 | 0 | 49 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 1.87 | 0.87 | 4.48 | 0.00 | 1.58 |
time (sec) |
N/A | 0.290 | 5.297 | 0.956 | 0.353 | 0.255 | 2.802 | 0.000 | 5.327 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 56 | 63 | 0 | 28 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.75 | 1.97 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 24.433 | 5.259 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 63 | 25 | 22 | 0 | 29 | 0 | 23 | 28 |
N.S. |
1 | 1.97 | 0.78 | 0.69 | 0.00 | 0.91 | 0.00 | 0.72 | 0.88 |
time (sec) |
N/A | 0.304 | 10.015 | 1.006 | 0.000 | 0.250 | 0.000 | 0.275 | 5.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 55 | 56 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.72 | 1.75 | 0.00 | 2.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 24.355 | 3.841 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 64 | 25 | 22 | 0 | 27 | 0 | 19 | 28 |
N.S. |
1 | 2.00 | 0.78 | 0.69 | 0.00 | 0.84 | 0.00 | 0.59 | 0.88 |
time (sec) |
N/A | 0.301 | 0.230 | 0.987 | 0.000 | 0.234 | 0.000 | 0.274 | 4.948 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 37 | 75 | 25 | 0 | 30 | 0 | 64 | 0 |
N.S. |
1 | 1.16 | 2.34 | 0.78 | 0.00 | 0.94 | 0.00 | 2.00 | 0.00 |
time (sec) |
N/A | 0.218 | 3.837 | 2.572 | 0.000 | 0.266 | 0.000 | 0.273 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 33 | 46 | 0 | 45 | 44 | 46 | 29 |
N.S. |
1 | 0.00 | 1.00 | 1.39 | 0.00 | 1.36 | 1.33 | 1.39 | 0.88 |
time (sec) |
N/A | 0.000 | 0.043 | 2.742 | 0.000 | 0.242 | 4.209 | 0.296 | 5.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 54 | 33 | 25 | 37 | 29 | 571 | 0 | 49 |
N.S. |
1 | 1.64 | 1.00 | 0.76 | 1.12 | 0.88 | 17.30 | 0.00 | 1.48 |
time (sec) |
N/A | 0.175 | 0.111 | 0.873 | 0.198 | 0.243 | 1.683 | 0.000 | 5.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 26 | 33 | 58 | 0 | 63 | 0 | 0 | 272 |
N.S. |
1 | 0.79 | 1.00 | 1.76 | 0.00 | 1.91 | 0.00 | 0.00 | 8.24 |
time (sec) |
N/A | 0.214 | 1.289 | 3.234 | 0.000 | 0.257 | 0.000 | 0.000 | 5.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 26 | 33 | 60 | 0 | 28 | 0 | 0 | 274 |
N.S. |
1 | 0.79 | 1.00 | 1.82 | 0.00 | 0.85 | 0.00 | 0.00 | 8.30 |
time (sec) |
N/A | 0.220 | 1.247 | 6.495 | 0.000 | 0.274 | 0.000 | 0.000 | 5.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 26 | 33 | 62 | 0 | 66 | 0 | 0 | 274 |
N.S. |
1 | 0.79 | 1.00 | 1.88 | 0.00 | 2.00 | 0.00 | 0.00 | 8.30 |
time (sec) |
N/A | 0.215 | 1.200 | 6.717 | 0.000 | 0.259 | 0.000 | 0.000 | 4.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 54 | 28 | 25 | 37 | 29 | 199 | 0 | 49 |
N.S. |
1 | 1.64 | 0.85 | 0.76 | 1.12 | 0.88 | 6.03 | 0.00 | 1.48 |
time (sec) |
N/A | 0.172 | 0.107 | 0.871 | 0.212 | 0.252 | 1.344 | 0.000 | 5.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 54 | 28 | 25 | 37 | 29 | 570 | 0 | 49 |
N.S. |
1 | 1.64 | 0.85 | 0.76 | 1.12 | 0.88 | 17.27 | 0.00 | 1.48 |
time (sec) |
N/A | 0.172 | 0.102 | 0.844 | 0.190 | 0.237 | 1.424 | 0.000 | 5.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 61 | 31 | 28 | 72 | 42 | 0 | 0 | 41 |
N.S. |
1 | 1.85 | 0.94 | 0.85 | 2.18 | 1.27 | 0.00 | 0.00 | 1.24 |
time (sec) |
N/A | 0.228 | 0.034 | 0.074 | 0.217 | 0.249 | 0.000 | 0.000 | 5.217 |