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 | 50 | 50 | 42 | 34 | 63 | 53 | 36 | 30 | 49 |
N.S. |
1 | 1.00 | 0.84 | 0.68 | 1.26 | 1.06 | 0.72 | 0.60 | 0.98 |
time (sec) |
N/A | 0.245 | 0.018 | 0.305 | 0.271 | 0.244 | 0.136 | 0.260 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 48 | 178 | 112 | 86 | 0 | 24 | 92 |
N.S. |
1 | 1.00 | 0.66 | 2.44 | 1.53 | 1.18 | 0.00 | 0.33 | 1.26 |
time (sec) |
N/A | 0.245 | 0.012 | 0.333 | 0.179 | 0.281 | 0.000 | 0.279 | 0.631 |
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 | 30 | 30 | 30 | 28 | 43 | 31 | 19 | 24 | 28 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.43 | 1.03 | 0.63 | 0.80 | 0.93 |
time (sec) |
N/A | 0.228 | 0.014 | 0.264 | 0.264 | 0.252 | 0.084 | 0.270 | 0.581 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 52 | 87 | 40 | 54 | 0 | 0 | 55 |
N.S. |
1 | 1.00 | 1.27 | 2.12 | 0.98 | 1.32 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.220 | 0.022 | 0.260 | 0.190 | 0.265 | 0.000 | 0.000 | 0.576 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 24 | 15 | 8 | 11 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.60 | 1.00 | 0.53 | 0.73 | 1.00 |
time (sec) |
N/A | 0.208 | 0.005 | 0.224 | 0.286 | 0.248 | 0.023 | 0.257 | 0.552 |
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 | 16 | 16 | 16 | 14 | 12 | 15 | 10 | 12 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.94 | 0.62 | 0.75 | 0.94 |
time (sec) |
N/A | 0.204 | 0.005 | 0.250 | 0.208 | 0.252 | 0.025 | 0.273 | 0.569 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 56 | 149 | 33 | 54 | 0 | 0 | 56 |
N.S. |
1 | 1.00 | 1.37 | 3.63 | 0.80 | 1.32 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.220 | 0.045 | 0.273 | 0.290 | 0.274 | 0.000 | 0.000 | 0.569 |
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 | 32 | 32 | 32 | 30 | 41 | 31 | 19 | 24 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.28 | 0.97 | 0.59 | 0.75 | 0.91 |
time (sec) |
N/A | 0.239 | 0.013 | 0.234 | 0.193 | 0.269 | 0.088 | 0.279 | 0.568 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 82 | 305 | 107 | 86 | 0 | 24 | 93 |
N.S. |
1 | 1.00 | 1.12 | 4.18 | 1.47 | 1.18 | 0.00 | 0.33 | 1.27 |
time (sec) |
N/A | 0.244 | 0.062 | 0.349 | 0.274 | 0.272 | 0.000 | 0.280 | 0.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 78 | 69 | 82 | 0 | 364 | 0 | 0 | 0 |
N.S. |
1 | 0.60 | 0.53 | 0.63 | 0.00 | 2.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.349 | 0.030 | 0.257 | 0.000 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 112 | 71 | 526 | 0 | 186 | 0 | 132 | 0 |
N.S. |
1 | 1.17 | 0.74 | 5.48 | 0.00 | 1.94 | 0.00 | 1.38 | 0.00 |
time (sec) |
N/A | 0.297 | 0.018 | 0.447 | 0.000 | 0.300 | 0.000 | 0.349 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 58 | 55 | 61 | 0 | 357 | 0 | 0 | 0 |
N.S. |
1 | 0.69 | 0.65 | 0.73 | 0.00 | 4.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.342 | 0.023 | 0.253 | 0.000 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 68 | 91 | 204 | 0 | 152 | 0 | 70 | 0 |
N.S. |
1 | 1.08 | 1.44 | 3.24 | 0.00 | 2.41 | 0.00 | 1.11 | 0.00 |
time (sec) |
N/A | 0.258 | 0.028 | 0.355 | 0.000 | 0.271 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 38 | 0 | 253 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.00 | 6.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 0.011 | 0.234 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 39 | 15 | 253 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.35 | 5.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.296 | 0.012 | 0.254 | 0.191 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 68 | 117 | 87 | 40 | 152 | 0 | 70 | 0 |
N.S. |
1 | 1.08 | 1.86 | 1.38 | 0.63 | 2.41 | 0.00 | 1.11 | 0.00 |
time (sec) |
N/A | 0.253 | 0.046 | 0.284 | 0.268 | 0.262 | 0.000 | 0.337 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 60 | 60 | 66 | 35 | 357 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 0.70 | 0.77 | 0.41 | 4.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.337 | 0.024 | 0.248 | 0.197 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 112 | 132 | 188 | 76 | 186 | 0 | 132 | 0 |
N.S. |
1 | 1.17 | 1.38 | 1.96 | 0.79 | 1.94 | 0.00 | 1.38 | 0.00 |
time (sec) |
N/A | 0.299 | 0.063 | 0.382 | 0.273 | 0.291 | 0.000 | 0.347 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 24 | 20 | 59 | 35 | 39 | 18 | 21 |
N.S. |
1 | 1.00 | 0.69 | 0.57 | 1.69 | 1.00 | 1.11 | 0.51 | 0.60 |
time (sec) |
N/A | 0.231 | 0.013 | 0.255 | 0.295 | 0.258 | 0.135 | 0.274 | 0.109 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 47 | 45 | 95 | 75 | 0 | 111 | 41 |
N.S. |
1 | 1.00 | 0.70 | 0.67 | 1.42 | 1.12 | 0.00 | 1.66 | 0.61 |
time (sec) |
N/A | 0.229 | 0.014 | 0.313 | 0.206 | 0.268 | 0.000 | 0.287 | 0.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 18 | 15 | 35 | 21 | 20 | 12 | 24 |
N.S. |
1 | 1.00 | 0.95 | 0.79 | 1.84 | 1.11 | 1.05 | 0.63 | 1.26 |
time (sec) |
N/A | 0.201 | 0.011 | 0.250 | 0.301 | 0.249 | 0.091 | 0.273 | 0.625 |
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 | 67 | 67 | 48 | 31 | 45 | 51 | 0 | 67 | 33 |
N.S. |
1 | 1.00 | 0.72 | 0.46 | 0.67 | 0.76 | 0.00 | 1.00 | 0.49 |
time (sec) |
N/A | 0.219 | 0.011 | 0.250 | 0.208 | 0.264 | 0.000 | 0.283 | 0.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 21 | 24 | 28 | 49 | 32 | 35 | 23 |
N.S. |
1 | 1.00 | 0.75 | 0.86 | 1.00 | 1.75 | 1.14 | 1.25 | 0.82 |
time (sec) |
N/A | 0.230 | 0.015 | 0.244 | 0.309 | 0.274 | 0.101 | 0.272 | 0.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 21 | 24 | 0 | 49 | 34 | 35 | 25 |
N.S. |
1 | 1.00 | 0.72 | 0.83 | 0.00 | 1.69 | 1.17 | 1.21 | 0.86 |
time (sec) |
N/A | 0.232 | 0.015 | 0.256 | 0.000 | 0.260 | 0.098 | 0.281 | 0.596 |
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 | 67 | 67 | 48 | 46 | 58 | 51 | 0 | 67 | 31 |
N.S. |
1 | 1.00 | 0.72 | 0.69 | 0.87 | 0.76 | 0.00 | 1.00 | 0.46 |
time (sec) |
N/A | 0.233 | 0.015 | 0.279 | 0.273 | 0.258 | 0.000 | 0.288 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 18 | 15 | 13 | 21 | 22 | 13 | 24 |
N.S. |
1 | 1.00 | 0.95 | 0.79 | 0.68 | 1.11 | 1.16 | 0.68 | 1.26 |
time (sec) |
N/A | 0.204 | 0.011 | 0.229 | 0.216 | 0.240 | 0.081 | 0.274 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 47 | 46 | 99 | 75 | 0 | 111 | 40 |
N.S. |
1 | 1.00 | 0.70 | 0.69 | 1.48 | 1.12 | 0.00 | 1.66 | 0.60 |
time (sec) |
N/A | 0.228 | 0.013 | 0.342 | 0.203 | 0.271 | 0.000 | 0.296 | 0.600 |
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 | 95 | 66 | 56 | 47 | 0 | 101 | 0 | 0 | 48 |
N.S. |
1 | 0.69 | 0.59 | 0.49 | 0.00 | 1.06 | 0.00 | 0.00 | 0.51 |
time (sec) |
N/A | 0.340 | 0.024 | 0.262 | 0.000 | 0.262 | 0.000 | 0.000 | 1.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 77 | 77 | 57 | 0 | 66 | 0 | 134 | 46 |
N.S. |
1 | 1.12 | 1.12 | 0.83 | 0.00 | 0.96 | 0.00 | 1.94 | 0.67 |
time (sec) |
N/A | 0.260 | 0.029 | 0.375 | 0.000 | 0.307 | 0.000 | 0.294 | 1.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 48 | 42 | 0 | 71 | 0 | 0 | 41 |
N.S. |
1 | 1.00 | 0.98 | 0.86 | 0.00 | 1.45 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.298 | 0.022 | 0.243 | 0.000 | 0.250 | 0.000 | 0.000 | 1.409 |
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 | 54 | 59 | 78 | 46 | 0 | 47 | 0 | 76 | 32 |
N.S. |
1 | 1.09 | 1.44 | 0.85 | 0.00 | 0.87 | 0.00 | 1.41 | 0.59 |
time (sec) |
N/A | 0.241 | 0.024 | 0.311 | 0.000 | 0.265 | 0.000 | 0.296 | 0.747 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 59 | 51 | 58 | 0 | 317 | 0 | 0 | 0 |
N.S. |
1 | 0.67 | 0.58 | 0.66 | 0.00 | 3.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.331 | 0.029 | 0.251 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 60 | 60 | 86 | 52 | 317 | 0 | 0 | 0 |
N.S. |
1 | 0.67 | 0.67 | 0.97 | 0.58 | 3.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.333 | 0.029 | 0.251 | 0.184 | 0.284 | 0.000 | 0.000 | 0.000 |
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 | 54 | 59 | 78 | 56 | 59 | 47 | 0 | 76 | 32 |
N.S. |
1 | 1.09 | 1.44 | 1.04 | 1.09 | 0.87 | 0.00 | 1.41 | 0.59 |
time (sec) |
N/A | 0.259 | 0.028 | 0.260 | 0.181 | 0.275 | 0.000 | 0.343 | 0.738 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 48 | 42 | 29 | 71 | 0 | 0 | 49 |
N.S. |
1 | 1.00 | 0.98 | 0.86 | 0.59 | 1.45 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.304 | 0.022 | 0.252 | 0.178 | 0.261 | 0.000 | 0.000 | 1.231 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 77 | 77 | 58 | 119 | 66 | 0 | 134 | 45 |
N.S. |
1 | 1.12 | 1.12 | 0.84 | 1.72 | 0.96 | 0.00 | 1.94 | 0.65 |
time (sec) |
N/A | 0.253 | 0.034 | 0.377 | 0.182 | 0.300 | 0.000 | 0.307 | 1.101 |
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 | 86 | 86 | 90 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 0.018 | 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 | 84 | 84 | 88 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.238 | 0.016 | 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 | 81 | 81 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.012 | 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 | 131 | 208 | 141 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.59 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.392 | 0.093 | 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 | 164 | 164 | 121 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.090 | 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 | 122 | 120 | 109 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.274 | 0.044 | 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 | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 42 | 18 | 17 | 17 | 26 | 17 | 17 |
N.S. |
1 | 1.00 | 2.33 | 1.00 | 0.94 | 0.94 | 1.44 | 0.94 | 0.94 |
time (sec) |
N/A | 0.213 | 0.007 | 0.521 | 0.265 | 0.267 | 0.439 | 0.255 | 0.639 |
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 | 65 | 120 | 120 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.85 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.300 | 0.034 | 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 | 90 | 162 | 142 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.80 | 1.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.359 | 0.039 | 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 | 223 | 174 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.77 | 1.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.413 | 0.057 | 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 | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 158 | 165 | 166 | 0 | 298 | 0 | 0 | 281 |
N.S. |
1 | 0.87 | 0.91 | 0.92 | 0.00 | 1.65 | 0.00 | 0.00 | 1.55 |
time (sec) |
N/A | 0.651 | 0.347 | 35.408 | 0.000 | 0.276 | 0.000 | 0.000 | 0.980 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 118 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.368 | 0.080 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 117 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 0.043 | 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 | 120 | 120 | 117 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.365 | 0.029 | 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 | 283 | 236 | 217 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 0.192 | 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 | 280 | 235 | 214 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.553 | 0.153 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 322 | 275 | 248 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.632 | 0.222 | 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 | 291 | 252 | 206 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.601 | 0.140 | 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 | 202 | 184 | 176 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.462 | 0.109 | 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 | 120 | 120 | 117 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.347 | 0.001 | 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 | 121 | 121 | 120 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.445 | 0.035 | 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 | 196 | 170 | 142 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.492 | 0.050 | 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 | 281 | 230 | 159 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.82 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.520 | 0.064 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 120 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.357 | 0.047 | 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 | 120 | 120 | 120 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 0.036 | 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 | 120 | 120 | 120 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.362 | 0.036 | 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 | 123 | 123 | 123 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.364 | 0.040 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.258 | 0.000 | 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 | 51 | 51 | 96 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 0.115 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.270 | 0.000 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.275 | 0.000 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.421 | 0.000 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.441 | 0.000 | 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 | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.456 | 0.000 | 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 | 115 | 115 | 115 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 0.027 | 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 | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 39 | 41 | 76 | 42 | 0 | 0 | 54 |
N.S. |
1 | 1.00 | 0.74 | 0.77 | 1.43 | 0.79 | 0.00 | 0.00 | 1.02 |
time (sec) |
N/A | 0.304 | 0.024 | 0.817 | 0.214 | 0.287 | 0.000 | 0.000 | 0.732 |
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 | 53 | 53 | 39 | 41 | 0 | 44 | 0 | 0 | 54 |
N.S. |
1 | 1.00 | 0.74 | 0.77 | 0.00 | 0.83 | 0.00 | 0.00 | 1.02 |
time (sec) |
N/A | 0.309 | 0.021 | 1.363 | 0.000 | 0.263 | 0.000 | 0.000 | 0.677 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 55 | 62 | 0 | 78 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.03 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.303 | 0.019 | 5.089 | 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 | B | B | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 36 | 34 | 292 | 379 | 439 | 299 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.89 | 7.68 | 9.97 | 11.55 | 7.87 | 0.00 |
time (sec) |
N/A | 0.272 | 0.816 | 0.783 | 0.353 | 0.621 | 2.711 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 36 | 34 | 155 | 169 | 194 | 139 | 160 |
N.S. |
1 | 1.00 | 0.95 | 0.89 | 4.08 | 4.45 | 5.11 | 3.66 | 4.21 |
time (sec) |
N/A | 0.256 | 0.164 | 0.452 | 0.279 | 0.276 | 0.811 | 0.273 | 3.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 36 | 34 | 62 | 49 | 54 | 45 | 47 |
N.S. |
1 | 1.00 | 0.95 | 0.89 | 1.63 | 1.29 | 1.42 | 1.18 | 1.24 |
time (sec) |
N/A | 0.269 | 0.029 | 0.276 | 0.265 | 0.263 | 0.204 | 0.278 | 0.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 36 | 34 | 0 | 49 | 53 | 80 | 65 |
N.S. |
1 | 1.00 | 0.95 | 0.89 | 0.00 | 1.29 | 1.39 | 2.11 | 1.71 |
time (sec) |
N/A | 0.254 | 0.029 | 0.292 | 0.000 | 0.257 | 0.213 | 0.274 | 0.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 36 | 34 | 0 | 169 | 192 | 139 | 159 |
N.S. |
1 | 1.00 | 0.95 | 0.89 | 0.00 | 4.45 | 5.05 | 3.66 | 4.18 |
time (sec) |
N/A | 0.254 | 0.160 | 0.587 | 0.000 | 0.268 | 0.712 | 0.289 | 3.727 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 63 | 57 | 0 | 496 | 0 | 0 | 46 |
N.S. |
1 | 1.00 | 0.97 | 0.88 | 0.00 | 7.63 | 0.00 | 0.00 | 0.71 |
time (sec) |
N/A | 0.434 | 0.375 | 0.375 | 0.000 | 0.359 | 0.000 | 0.000 | 2.468 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 65 | 57 | 0 | 192 | 0 | 0 | 48 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.00 | 2.95 | 0.00 | 0.00 | 0.74 |
time (sec) |
N/A | 0.443 | 0.082 | 0.323 | 0.000 | 0.285 | 0.000 | 0.000 | 1.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 83 | 74 | 87 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.58 | 0.52 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.486 | 0.041 | 0.243 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 84 | 75 | 86 | 54 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.52 | 0.60 | 0.38 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.474 | 0.046 | 0.283 | 0.189 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 65 | 50 | 93 | 192 | 0 | 0 | 57 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 1.43 | 2.95 | 0.00 | 0.00 | 0.88 |
time (sec) |
N/A | 0.440 | 0.083 | 0.314 | 0.189 | 0.283 | 0.000 | 0.000 | 1.800 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 63 | 50 | 274 | 496 | 0 | 0 | 47 |
N.S. |
1 | 1.00 | 0.97 | 0.77 | 4.22 | 7.63 | 0.00 | 0.00 | 0.72 |
time (sec) |
N/A | 0.448 | 0.382 | 0.368 | 0.266 | 0.362 | 0.000 | 0.000 | 3.428 |