Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 67 | 57 | 58 | 54 | 0 | 181 | 60 |
N.S. |
1 | 1.00 | 1.56 | 1.33 | 1.35 | 1.26 | 0.00 | 4.21 | 1.40 |
time (sec) |
N/A | 0.022 | 0.013 | 0.049 | 0.253 | 0.326 | 0.000 | 0.424 | 0.957 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 42 | 39 | 37 | 50 | 0 | 188 | 52 |
N.S. |
1 | 1.00 | 1.14 | 1.05 | 1.00 | 1.35 | 0.00 | 5.08 | 1.41 |
time (sec) |
N/A | 0.016 | 0.009 | 0.025 | 0.254 | 0.355 | 0.000 | 0.436 | 0.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 28 | 92 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 3.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.025 | 0.013 | 0.042 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 45 | 49 | 41 | 55 | 0 | 51 | 55 |
N.S. |
1 | 1.00 | 1.12 | 1.22 | 1.02 | 1.38 | 0.00 | 1.28 | 1.38 |
time (sec) |
N/A | 0.019 | 0.011 | 0.034 | 0.269 | 0.336 | 0.000 | 0.418 | 0.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 65 | 55 | 51 | 49 | 0 | 67 | 52 |
N.S. |
1 | 1.00 | 1.59 | 1.34 | 1.24 | 1.20 | 0.00 | 1.63 | 1.27 |
time (sec) |
N/A | 0.021 | 0.010 | 0.041 | 0.254 | 0.342 | 0.000 | 0.422 | 1.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 61 | 63 | 51 | 65 | 0 | 65 | 67 |
N.S. |
1 | 1.00 | 1.09 | 1.12 | 0.91 | 1.16 | 0.00 | 1.16 | 1.20 |
time (sec) |
N/A | 0.027 | 0.012 | 0.039 | 0.261 | 0.353 | 0.000 | 0.419 | 0.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 196 | 184 | 162 | 981 | 0 | 207 | 125 |
N.S. |
1 | 1.00 | 1.13 | 1.06 | 0.93 | 5.64 | 0.00 | 1.19 | 0.72 |
time (sec) |
N/A | 0.159 | 0.031 | 0.040 | 0.466 | 0.405 | 0.000 | 0.470 | 1.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 136 | 99 | 90 | 260 | 0 | 109 | 107 |
N.S. |
1 | 1.00 | 1.35 | 0.98 | 0.89 | 2.57 | 0.00 | 1.08 | 1.06 |
time (sec) |
N/A | 0.068 | 0.030 | 0.029 | 0.457 | 0.389 | 0.000 | 0.415 | 2.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 187 | 159 | 155 | 228 | 0 | 165 | 118 |
N.S. |
1 | 1.00 | 1.13 | 0.96 | 0.94 | 1.38 | 0.00 | 1.00 | 0.72 |
time (sec) |
N/A | 0.140 | 0.039 | 0.042 | 0.461 | 0.412 | 0.000 | 0.446 | 1.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 196 | 172 | 100 | 151 | 0 | 125 | 135 |
N.S. |
1 | 1.00 | 1.70 | 1.50 | 0.87 | 1.31 | 0.00 | 1.09 | 1.17 |
time (sec) |
N/A | 0.065 | 0.038 | 0.049 | 0.465 | 0.366 | 0.000 | 0.435 | 3.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 198 | 186 | 164 | 248 | 0 | 208 | 127 |
N.S. |
1 | 1.00 | 1.12 | 1.06 | 0.93 | 1.41 | 0.00 | 1.18 | 0.72 |
time (sec) |
N/A | 0.201 | 0.023 | 0.063 | 0.468 | 0.361 | 0.000 | 0.476 | 1.259 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 198 | 114 | 103 | 166 | 0 | 126 | 124 |
N.S. |
1 | 1.00 | 1.69 | 0.97 | 0.88 | 1.42 | 0.00 | 1.08 | 1.06 |
time (sec) |
N/A | 0.065 | 0.021 | 0.029 | 0.463 | 0.367 | 0.000 | 0.423 | 2.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 187 | 177 | 155 | 238 | 0 | 179 | 118 |
N.S. |
1 | 1.00 | 1.13 | 1.07 | 0.94 | 1.44 | 0.00 | 1.08 | 0.72 |
time (sec) |
N/A | 0.173 | 0.018 | 0.034 | 0.455 | 0.342 | 0.000 | 0.509 | 1.248 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 183 | 105 | 94 | 117 | 0 | 106 | 117 |
N.S. |
1 | 1.00 | 1.76 | 1.01 | 0.90 | 1.12 | 0.00 | 1.02 | 1.12 |
time (sec) |
N/A | 0.056 | 0.021 | 0.035 | 0.472 | 0.363 | 0.000 | 0.423 | 2.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 196 | 172 | 160 | 196 | 0 | 187 | 125 |
N.S. |
1 | 1.00 | 1.13 | 0.99 | 0.92 | 1.13 | 0.00 | 1.07 | 0.72 |
time (sec) |
N/A | 0.194 | 0.038 | 0.048 | 0.455 | 0.398 | 0.000 | 0.621 | 1.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 146 | 298 | 217 | 176 | 0 | 175 | 335 |
N.S. |
1 | 1.00 | 1.17 | 2.38 | 1.74 | 1.41 | 0.00 | 1.40 | 2.68 |
time (sec) |
N/A | 0.193 | 0.047 | 0.171 | 0.279 | 0.357 | 0.000 | 0.464 | 1.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 132 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.178 | 0.209 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 106 | 287 | 186 | 138 | 0 | 361 | 275 |
N.S. |
1 | 1.00 | 1.16 | 3.15 | 2.04 | 1.52 | 0.00 | 3.97 | 3.02 |
time (sec) |
N/A | 0.112 | 0.036 | 0.216 | 0.261 | 0.368 | 0.000 | 0.476 | 1.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 99 | 137 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.03 | 1.43 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.101 | 0.107 | 0.194 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 183 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.231 | 0.051 | 0.026 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 117 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.131 | 0.109 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 111 | 257 | 175 | 151 | 0 | 0 | 278 |
N.S. |
1 | 1.00 | 1.26 | 2.92 | 1.99 | 1.72 | 0.00 | 0.00 | 3.16 |
time (sec) |
N/A | 0.120 | 0.051 | 0.173 | 0.285 | 0.396 | 0.000 | 0.000 | 1.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 159 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.191 | 0.268 | 0.025 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 334 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.367 | 0.342 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 185 | 799 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.33 | 5.75 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.208 | 0.201 | 0.371 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 191 | 280 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.47 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.296 | 0.186 | 0.263 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 214 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.410 | 0.121 | 0.027 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 223 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.223 | 0.269 | 0.026 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 218 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.241 | 0.190 | 0.028 | 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(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.017 | 1.388 | 0.030 | 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(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.016 | 0.843 | 0.027 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 64 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.026 | 0.049 | 0.027 | 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(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.019 | 0.347 | 0.025 | 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(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.018 | 0.265 | 0.026 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 67 | 69 | 57 | 48 | 46 | 262 | 45 |
N.S. | 1 | 1.00 | 1.34 | 1.38 | 1.14 | 0.96 | 0.92 | 5.24 | 0.90 |
time (sec) |
N/A | 0.022 | 0.010 | 0.201 | 0.258 | 0.350 | 0.160 | 0.426 | 0.779 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 50 | 71 | 42 | 49 | 49 | 227 | 42 |
N.S. | 1 | 1.00 | 1.11 | 1.58 | 0.93 | 1.09 | 1.09 | 5.04 | 0.93 |
time (sec) |
N/A | 0.022 | 0.008 | 0.108 | 0.251 | 0.372 | 0.146 | 0.440 | 0.719 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 56 | 60 | 44 | 39 | 36 | 130 | 36 |
N.S. | 1 | 1.00 | 1.44 | 1.54 | 1.13 | 1.00 | 0.92 | 3.33 | 0.92 |
time (sec) |
N/A | 0.014 | 0.008 | 0.124 | 0.250 | 0.338 | 0.118 | 0.396 | 0.735 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 48 | 29 | 35 | 24 | 150 | 27 |
N.S. | 1 | 1.00 | 1.00 | 1.66 | 1.00 | 1.21 | 0.83 | 5.17 | 0.93 |
time (sec) |
N/A | 0.009 | 0.004 | 0.074 | 0.252 | 0.345 | 0.097 | 0.412 | 0.679 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 28 | 63 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.020 | 0.011 | 0.107 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 38 | 39 | 37 | 48 | 39 | 87 | 43 |
N.S. | 1 | 1.00 | 1.09 | 1.11 | 1.06 | 1.37 | 1.11 | 2.49 | 1.23 |
time (sec) |
N/A | 0.015 | 0.009 | 0.095 | 0.258 | 0.364 | 0.300 | 0.415 | 0.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 60 | 60 | 52 | 46 | 44 | 123 | 49 |
N.S. | 1 | 1.00 | 1.40 | 1.40 | 1.21 | 1.07 | 1.02 | 2.86 | 1.14 |
time (sec) |
N/A | 0.019 | 0.008 | 0.098 | 0.260 | 0.342 | 0.328 | 0.414 | 0.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 62 | 62 | 55 | 62 | 68 | 234 | 59 |
N.S. | 1 | 1.00 | 1.09 | 1.09 | 0.96 | 1.09 | 1.19 | 4.11 | 1.04 |
time (sec) |
N/A | 0.031 | 0.010 | 0.098 | 0.262 | 0.363 | 0.433 | 0.418 | 0.750 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 131 | 310 | 189 | 149 | 158 | 552 | 142 |
N.S. | 1 | 1.00 | 1.07 | 2.52 | 1.54 | 1.21 | 1.28 | 4.49 | 1.15 |
time (sec) |
N/A | 0.196 | 0.060 | 1.030 | 0.252 | 0.344 | 0.226 | 0.431 | 0.892 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 145 | 358 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 2.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.190 | 0.219 | 0.372 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 92 | 271 | 136 | 111 | 104 | 268 | 101 |
N.S. | 1 | 1.00 | 1.11 | 3.27 | 1.64 | 1.34 | 1.25 | 3.23 | 1.22 |
time (sec) |
N/A | 0.115 | 0.026 | 0.760 | 0.264 | 0.430 | 0.162 | 0.423 | 0.782 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 97 | 287 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.31 | 3.88 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.082 | 0.083 | 0.225 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 114 | 780 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 5.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.205 | 0.066 | 3.447 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 101 | 137 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.16 | 1.57 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.094 | 0.133 | 0.585 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 119 | 258 | 165 | 130 | 124 | 255 | 235 |
N.S. | 1 | 1.00 | 1.37 | 2.97 | 1.90 | 1.49 | 1.43 | 2.93 | 2.70 |
time (sec) |
N/A | 0.100 | 0.038 | 1.922 | 0.258 | 0.347 | 0.383 | 0.431 | 1.284 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 286 | 1337 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.41 | 6.59 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.453 | 0.451 | 8.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 316 | 1915 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.46 | 8.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.373 | 0.534 | 3.789 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 193 | 5310 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.43 | 39.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.248 | 0.210 | 3.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 198 | 1732 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.83 | 16.04 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.180 | 0.181 | 0.713 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 171 | 1631 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 7.84 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.340 | 0.126 | 0.708 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 215 | 280 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.71 | 2.22 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.180 | 0.183 | 1.398 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 195 | 6380 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.40 | 45.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.200 | 0.225 | 5.166 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 73 | 64 | 62 | 53 | 51 | 71 | 66 |
N.S. | 1 | 1.00 | 1.35 | 1.19 | 1.15 | 0.98 | 0.94 | 1.31 | 1.22 |
time (sec) |
N/A | 0.028 | 0.013 | 0.164 | 0.257 | 0.335 | 3.098 | 0.441 | 1.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 50 | 65 | 42 | 52 | 75 | 52 | 56 |
N.S. | 1 | 1.00 | 1.11 | 1.44 | 0.93 | 1.16 | 1.67 | 1.16 | 1.24 |
time (sec) |
N/A | 0.023 | 0.010 | 0.391 | 0.252 | 0.336 | 2.262 | 0.424 | 0.814 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 62 | 55 | 49 | 44 | 41 | 162 | 57 |
N.S. | 1 | 1.00 | 1.44 | 1.28 | 1.14 | 1.02 | 0.95 | 3.77 | 1.33 |
time (sec) |
N/A | 0.021 | 0.010 | 0.210 | 0.258 | 0.339 | 1.677 | 0.433 | 0.865 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 39 | 52 | 34 | 43 | 61 | 184 | 47 |
N.S. | 1 | 1.00 | 1.15 | 1.53 | 1.00 | 1.26 | 1.79 | 5.41 | 1.38 |
time (sec) |
N/A | 0.012 | 0.007 | 0.100 | 0.254 | 0.344 | 1.351 | 0.429 | 0.789 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 28 | 154 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 5.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.023 | 0.011 | 0.126 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 42 | 39 | 37 | 55 | 76 | 52 | 56 |
N.S. | 1 | 1.00 | 1.14 | 1.05 | 1.00 | 1.49 | 2.05 | 1.41 | 1.51 |
time (sec) |
N/A | 0.016 | 0.009 | 0.100 | 0.248 | 0.357 | 4.295 | 0.412 | 0.842 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 64 | 57 | 56 | 52 | 49 | 66 | 59 |
N.S. | 1 | 1.00 | 1.42 | 1.27 | 1.24 | 1.16 | 1.09 | 1.47 | 1.31 |
time (sec) |
N/A | 0.024 | 0.011 | 0.111 | 0.262 | 0.355 | 5.820 | 0.418 | 0.995 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 62 | 45 | 55 | 67 | 94 | 65 | 66 |
N.S. | 1 | 1.00 | 1.09 | 0.79 | 0.96 | 1.18 | 1.65 | 1.14 | 1.16 |
time (sec) |
N/A | 0.026 | 0.011 | 0.108 | 0.258 | 0.406 | 8.239 | 0.413 | 0.894 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 88 | 55 | 62 | 170 | 845 | 67 | 67 |
N.S. | 1 | 1.00 | 1.40 | 0.87 | 0.98 | 2.70 | 13.41 | 1.06 | 1.06 |
time (sec) |
N/A | 0.025 | 0.017 | 0.226 | 0.463 | 0.350 | 3.781 | 0.445 | 0.983 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 86 | 53 | 61 | 162 | 830 | 69 | 65 |
N.S. | 1 | 1.00 | 1.41 | 0.87 | 1.00 | 2.66 | 13.61 | 1.13 | 1.07 |
time (sec) |
N/A | 0.024 | 0.014 | 0.155 | 0.472 | 0.354 | 2.842 | 0.426 | 0.895 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 54 | 39 | 51 | 138 | 632 | 57 | 52 |
N.S. | 1 | 1.00 | 1.23 | 0.89 | 1.16 | 3.14 | 14.36 | 1.30 | 1.18 |
time (sec) |
N/A | 0.017 | 0.012 | 0.118 | 0.461 | 0.486 | 2.098 | 0.417 | 0.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 72 | 47 | 57 | 159 | 886 | 62 | 59 |
N.S. | 1 | 1.00 | 1.57 | 1.02 | 1.24 | 3.46 | 19.26 | 1.35 | 1.28 |
time (sec) |
N/A | 0.021 | 0.015 | 0.121 | 0.456 | 0.374 | 3.661 | 0.427 | 0.960 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 90 | 57 | 64 | 189 | 1046 | 72 | 69 |
N.S. | 1 | 1.00 | 1.38 | 0.88 | 0.98 | 2.91 | 16.09 | 1.11 | 1.06 |
time (sec) |
N/A | 0.026 | 0.022 | 0.131 | 0.464 | 0.425 | 4.995 | 0.452 | 0.992 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 90 | 57 | 65 | 196 | 994 | 74 | 69 |
N.S. | 1 | 1.00 | 1.38 | 0.88 | 1.00 | 3.02 | 15.29 | 1.14 | 1.06 |
time (sec) |
N/A | 0.025 | 0.019 | 0.128 | 0.467 | 0.381 | 7.132 | 0.489 | 1.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 104 | 0 | 157 | 126 | 151 | 327 | 247 |
N.S. | 1 | 1.00 | 1.11 | 0.00 | 1.67 | 1.34 | 1.61 | 3.48 | 2.63 |
time (sec) |
N/A | 0.121 | 0.041 | 180.000 | 0.259 | 0.420 | 2.301 | 0.422 | 1.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 107 | 6869 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.14 | 73.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.121 | 0.096 | 0.526 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 183 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.222 | 0.047 | 0.064 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 114 | 137 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.15 | 1.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.101 | 0.123 | 0.642 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 131 | 0 | 183 | 143 | 172 | 0 | 262 |
N.S. | 1 | 1.00 | 1.35 | 0.00 | 1.89 | 1.47 | 1.77 | 0.00 | 2.70 |
time (sec) |
N/A | 0.103 | 0.051 | 180.000 | 0.264 | 0.378 | 6.081 | 0.000 | 1.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1214 | 1214 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.926 | 9.129 | 0.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1172 | 1172 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.555 | 7.327 | 0.067 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1549 | 1549 | 565 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.606 | 2.765 | 0.062 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1117 | 1117 | 568 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.530 | 2.025 | 0.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1263 | 1263 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.054 | 1.930 | 0.065 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1337 | 1337 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.039 | 1.952 | 0.069 | 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 | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.017 | 1.903 | 0.040 | 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 | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.017 | 1.203 | 0.039 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 68 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.033 | 0.051 | 0.038 | 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 | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.019 | 0.324 | 0.036 | 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(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.018 | 0.464 | 0.034 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 114 | 87 | 86 | 89 | 0 | 359 | 86 |
N.S. | 1 | 1.00 | 1.30 | 0.99 | 0.98 | 1.01 | 0.00 | 4.08 | 0.98 |
time (sec) |
N/A | 0.030 | 0.039 | 0.065 | 0.257 | 0.395 | 0.000 | 0.442 | 1.434 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 101 | 78 | 78 | 80 | 0 | 301 | 58 |
N.S. | 1 | 1.00 | 1.35 | 1.04 | 1.04 | 1.07 | 0.00 | 4.01 | 0.77 |
time (sec) |
N/A | 0.024 | 0.040 | 0.069 | 0.269 | 0.355 | 0.000 | 0.445 | 1.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 88 | 69 | 69 | 70 | 0 | 239 | 49 |
N.S. | 1 | 1.00 | 1.42 | 1.11 | 1.11 | 1.13 | 0.00 | 3.85 | 0.79 |
time (sec) |
N/A | 0.019 | 0.034 | 0.066 | 0.259 | 0.360 | 0.000 | 0.453 | 1.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 42 | 50 | 53 | 56 | 0 | 174 | 32 |
N.S. | 1 | 1.00 | 1.08 | 1.28 | 1.36 | 1.44 | 0.00 | 4.46 | 0.82 |
time (sec) |
N/A | 0.014 | 0.107 | 0.066 | 0.259 | 0.466 | 0.000 | 0.475 | 0.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 63 | 61 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 2.17 | 2.10 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.023 | 0.024 | 0.083 | 0.359 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 67 | 62 | 51 | 53 | 231 | 168 | 52 |
N.S. | 1 | 1.00 | 1.68 | 1.55 | 1.28 | 1.32 | 5.78 | 4.20 | 1.30 |
time (sec) |
N/A | 0.018 | 0.022 | 0.069 | 0.260 | 0.355 | 3.392 | 0.432 | 1.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 86 | 71 | 64 | 64 | 342 | 356 | 61 |
N.S. | 1 | 1.00 | 1.43 | 1.18 | 1.07 | 1.07 | 5.70 | 5.93 | 1.02 |
time (sec) |
N/A | 0.021 | 0.021 | 0.072 | 0.267 | 0.375 | 9.702 | 0.436 | 1.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 99 | 80 | 72 | 74 | 371 | 534 | 69 |
N.S. | 1 | 1.00 | 1.36 | 1.10 | 0.99 | 1.01 | 5.08 | 7.32 | 0.95 |
time (sec) |
N/A | 0.023 | 0.022 | 0.070 | 0.262 | 0.346 | 25.829 | 0.444 | 1.386 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 224 | 373 | 265 | 273 | 0 | 0 | 453 |
N.S. | 1 | 1.00 | 1.06 | 1.77 | 1.26 | 1.29 | 0.00 | 0.00 | 2.15 |
time (sec) |
N/A | 0.370 | 0.075 | 0.181 | 0.270 | 0.393 | 0.000 | 0.000 | 4.867 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 194 | 335 | 241 | 241 | 0 | 0 | 185 |
N.S. | 1 | 1.00 | 1.12 | 1.94 | 1.39 | 1.39 | 0.00 | 0.00 | 1.07 |
time (sec) |
N/A | 0.266 | 0.067 | 0.180 | 0.262 | 0.416 | 0.000 | 0.000 | 1.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 160 | 297 | 215 | 207 | 0 | 0 | 143 |
N.S. | 1 | 1.00 | 1.24 | 2.30 | 1.67 | 1.60 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.182 | 0.056 | 0.180 | 0.270 | 0.357 | 0.000 | 0.000 | 1.281 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 115 | 252 | 175 | 165 | 0 | 0 | 94 |
N.S. | 1 | 1.00 | 1.35 | 2.96 | 2.06 | 1.94 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.102 | 0.039 | 0.174 | 0.263 | 0.361 | 0.000 | 0.000 | 1.058 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 164 | 742 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.13 | 5.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.226 | 0.059 | 2.588 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 129 | 275 | 174 | 157 | 680 | 0 | 278 |
N.S. | 1 | 1.00 | 1.52 | 3.24 | 2.05 | 1.85 | 8.00 | 0.00 | 3.27 |
time (sec) |
N/A | 0.122 | 0.069 | 0.109 | 0.266 | 0.371 | 3.471 | 0.000 | 1.792 |