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 | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 127 | 228 | 0 | 134 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.19 | 2.13 | 0.00 | 1.25 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 1.058 | 0.181 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 136 | 250 | 0 | 157 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 1.85 | 0.00 | 1.16 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.103 | 1.519 | 0.181 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 149 | 272 | 0 | 170 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.114 | 1.729 | 0.186 | 0.000 | 0.125 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 279 | 439 | 0 | 215 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.49 | 2.35 | 0.00 | 1.15 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.168 | 2.757 | 0.314 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 259 | 386 | 0 | 200 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.65 | 2.46 | 0.00 | 1.27 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.144 | 1.793 | 0.284 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 157 | 371 | 0 | 179 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 2.83 | 0.00 | 1.37 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.128 | 1.006 | 0.263 | 0.000 | 0.130 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 135 | 172 | 0 | 148 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.03 | 1.31 | 0.00 | 1.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.127 | 1.337 | 0.210 | 0.000 | 0.135 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 137 | 250 | 0 | 156 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.05 | 1.91 | 0.00 | 1.19 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.127 | 1.295 | 0.187 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 146 | 272 | 0 | 170 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.151 | 1.871 | 0.189 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 156 | 260 | 0 | 183 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.39 | 0.00 | 0.98 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.172 | 2.230 | 0.205 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 271 | 439 | 0 | 215 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.45 | 2.35 | 0.00 | 1.15 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.182 | 1.877 | 0.324 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 278 | 386 | 0 | 202 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.73 | 2.40 | 0.00 | 1.25 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.161 | 2.490 | 0.289 | 0.000 | 0.144 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 70 | 292 | 0 | 121 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.59 | 2.47 | 0.00 | 1.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.153 | 0.356 | 0.265 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 150 | 194 | 0 | 162 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 1.22 | 0.00 | 1.02 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.155 | 1.567 | 0.228 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 146 | 272 | 0 | 170 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 1.69 | 0.00 | 1.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.160 | 1.620 | 0.192 | 0.000 | 0.148 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 156 | 260 | 0 | 183 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.39 | 0.00 | 0.98 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.182 | 2.216 | 0.201 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 285 | 413 | 0 | 248 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.74 | 2.52 | 0.00 | 1.51 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.122 | 3.334 | 0.240 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 256 | 253 | 0 | 196 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.88 | 1.86 | 0.00 | 1.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.110 | 1.943 | 0.282 | 0.000 | 0.145 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 180 | 200 | 0 | 184 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.64 | 1.82 | 0.00 | 1.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.103 | 1.022 | 0.162 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 181 | 198 | 0 | 184 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.65 | 1.80 | 0.00 | 1.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.100 | 0.999 | 0.171 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 311 | 199 | 0 | 186 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.78 | 1.78 | 0.00 | 1.66 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.103 | 1.714 | 0.174 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 312 | 215 | 0 | 207 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.23 | 1.54 | 0.00 | 1.48 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.115 | 4.053 | 0.186 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 341 | 229 | 0 | 217 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.03 | 1.36 | 0.00 | 1.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.132 | 2.740 | 0.184 | 0.000 | 0.139 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 287 | 413 | 0 | 328 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.42 | 2.04 | 0.00 | 1.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.184 | 2.583 | 0.274 | 0.000 | 0.200 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 252 | 405 | 0 | 278 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.43 | 2.30 | 0.00 | 1.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 1.360 | 0.208 | 0.000 | 0.129 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 242 | 257 | 0 | 277 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.62 | 1.72 | 0.00 | 1.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.160 | 1.265 | 0.191 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 98 | 188 | 0 | 150 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.27 | 2.44 | 0.00 | 1.95 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.070 | 0.393 | 0.184 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 239 | 257 | 0 | 277 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.60 | 1.72 | 0.00 | 1.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.159 | 1.458 | 0.207 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 259 | 257 | 0 | 277 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.70 | 1.69 | 0.00 | 1.82 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.162 | 2.073 | 0.207 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 257 | 270 | 0 | 287 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.44 | 1.52 | 0.00 | 1.61 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.181 | 1.766 | 0.304 | 0.000 | 0.138 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 271 | 283 | 0 | 297 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.36 | 1.42 | 0.00 | 1.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.187 | 1.889 | 0.207 | 0.000 | 0.162 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 363 | 555 | 0 | 354 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.64 | 2.51 | 0.00 | 1.60 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.250 | 2.393 | 0.232 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 274 | 268 | 0 | 353 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.41 | 1.37 | 0.00 | 1.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.237 | 2.437 | 0.203 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 363 | 270 | 0 | 353 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.86 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.245 | 2.117 | 0.205 | 0.000 | 0.129 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 363 | 270 | 0 | 353 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.86 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.234 | 1.995 | 0.205 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 272 | 270 | 0 | 353 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.39 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.232 | 2.794 | 0.206 | 0.000 | 0.137 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 378 | 270 | 0 | 353 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.94 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.232 | 2.195 | 0.220 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 285 | 283 | 0 | 363 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.29 | 1.28 | 0.00 | 1.64 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.260 | 2.326 | 0.227 | 0.000 | 0.152 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 71 | 82 | 283 | 81 | 0 | 143 | 163 |
N.S. |
1 | 1.00 | 0.46 | 0.54 | 1.85 | 0.53 | 0.00 | 0.93 | 1.07 |
time (sec) |
N/A | 0.185 | 0.211 | 0.869 | 0.532 | 0.390 | 0.000 | 0.538 | 5.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 61 | 72 | 237 | 71 | 0 | 116 | 134 |
N.S. |
1 | 1.00 | 0.53 | 0.63 | 2.06 | 0.62 | 0.00 | 1.01 | 1.17 |
time (sec) |
N/A | 0.143 | 0.135 | 0.233 | 0.530 | 0.394 | 0.000 | 0.574 | 1.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 51 | 62 | 190 | 59 | 0 | 87 | 84 |
N.S. |
1 | 1.00 | 0.66 | 0.81 | 2.47 | 0.77 | 0.00 | 1.13 | 1.09 |
time (sec) |
N/A | 0.105 | 0.109 | 0.220 | 0.544 | 0.402 | 0.000 | 0.575 | 0.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 39 | 50 | 98 | 40 | 0 | 58 | 43 |
N.S. |
1 | 1.00 | 1.08 | 1.39 | 2.72 | 1.11 | 0.00 | 1.61 | 1.19 |
time (sec) |
N/A | 0.075 | 0.070 | 0.220 | 0.531 | 0.403 | 0.000 | 0.521 | 0.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 70 | 100 | 146 | 119 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.23 | 1.75 | 2.56 | 2.09 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.077 | 0.096 | 0.267 | 0.590 | 0.410 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 97 | 132 | 791 | 88 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.05 | 1.43 | 8.60 | 0.96 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.110 | 0.138 | 0.254 | 0.604 | 0.391 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 111 | 169 | 1059 | 108 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.24 | 7.79 | 0.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.149 | 0.274 | 0.266 | 0.633 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 72 | 83 | 263 | 86 | 0 | 0 | 221 |
N.S. |
1 | 1.00 | 0.45 | 0.52 | 1.63 | 0.53 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.203 | 0.279 | 0.220 | 0.536 | 0.419 | 0.000 | 0.000 | 4.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 62 | 73 | 217 | 73 | 0 | 0 | 135 |
N.S. |
1 | 1.00 | 0.51 | 0.60 | 1.79 | 0.60 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.159 | 0.197 | 0.238 | 0.526 | 0.403 | 0.000 | 0.000 | 1.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 52 | 63 | 125 | 60 | 0 | 0 | 91 |
N.S. |
1 | 1.00 | 0.64 | 0.78 | 1.54 | 0.74 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.119 | 0.140 | 0.219 | 0.524 | 0.385 | 0.000 | 0.000 | 0.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 85 | 168 | 997 | 91 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 1.75 | 10.39 | 0.95 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.126 | 0.191 | 0.246 | 0.630 | 0.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 99 | 130 | 803 | 90 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 1.37 | 8.45 | 0.95 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.123 | 0.154 | 0.250 | 0.613 | 0.416 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 111 | 170 | 1080 | 112 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 1.21 | 7.71 | 0.80 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 0.256 | 0.262 | 0.628 | 0.415 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 126 | 205 | 1942 | 123 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.70 | 1.14 | 10.79 | 0.68 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.209 | 0.537 | 0.276 | 0.722 | 0.399 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 84 | 95 | 289 | 107 | 0 | 0 | 306 |
N.S. |
1 | 1.00 | 0.42 | 0.47 | 1.44 | 0.53 | 0.00 | 0.00 | 1.52 |
time (sec) |
N/A | 0.278 | 5.385 | 0.242 | 0.526 | 0.392 | 0.000 | 0.000 | 4.848 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 74 | 85 | 243 | 94 | 0 | 0 | 227 |
N.S. |
1 | 1.00 | 0.46 | 0.53 | 1.51 | 0.58 | 0.00 | 0.00 | 1.41 |
time (sec) |
N/A | 0.229 | 5.354 | 0.225 | 0.529 | 0.405 | 0.000 | 0.000 | 4.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 64 | 75 | 151 | 81 | 0 | 0 | 137 |
N.S. |
1 | 1.00 | 0.53 | 0.62 | 1.25 | 0.67 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.193 | 0.287 | 0.221 | 0.529 | 0.418 | 0.000 | 0.000 | 1.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 404 | 268 | 1395 | 128 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.93 | 1.94 | 10.11 | 0.93 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.197 | 6.316 | 0.258 | 0.641 | 0.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 202 | 186 | 973 | 111 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.51 | 1.39 | 7.26 | 0.83 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.196 | 3.045 | 0.250 | 0.637 | 0.434 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 202 | 166 | 1106 | 120 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.44 | 1.19 | 7.90 | 0.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.195 | 2.970 | 0.263 | 0.633 | 0.433 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 202 | 207 | 1964 | 133 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.12 | 1.15 | 10.91 | 0.74 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.243 | 3.142 | 0.280 | 0.724 | 0.398 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 202 | 242 | 7450 | 146 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.10 | 33.86 | 0.66 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.283 | 3.046 | 0.298 | 0.923 | 0.422 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 1540 | 294 | 0 | 130 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 10.00 | 1.91 | 0.00 | 0.84 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.195 | 7.888 | 0.333 | 0.000 | 0.421 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 473 | 228 | 0 | 114 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.01 | 1.93 | 0.00 | 0.97 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.137 | 6.636 | 0.217 | 0.000 | 0.440 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 178 | 144 | 0 | 86 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.17 | 1.76 | 0.00 | 1.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.082 | 2.052 | 0.197 | 0.000 | 0.445 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 68 | 82 | 0 | 39 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.45 | 1.74 | 0.00 | 0.83 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.057 | 0.120 | 0.208 | 0.000 | 0.438 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 171 | 134 | 0 | 70 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.82 | 1.43 | 0.00 | 0.74 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.116 | 0.633 | 0.212 | 0.000 | 0.433 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 244 | 159 | 0 | 125 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.95 | 1.27 | 0.00 | 1.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.155 | 1.643 | 0.234 | 0.000 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 1542 | 294 | 0 | 141 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.16 | 1.56 | 0.00 | 0.75 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.282 | 7.857 | 0.257 | 0.000 | 0.448 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 475 | 227 | 0 | 125 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.15 | 1.50 | 0.00 | 0.83 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.194 | 6.660 | 0.244 | 0.000 | 0.431 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 180 | 142 | 0 | 98 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.59 | 1.26 | 0.00 | 0.87 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.126 | 2.034 | 0.225 | 0.000 | 0.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 76 | 71 | 88 | 0 | 144 | 0 | 0 | -1 |
N.S. |
1 | 1.36 | 1.27 | 1.57 | 0.00 | 2.57 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.080 | 0.103 | 0.226 | 0.000 | 0.455 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-2) | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 135 | 173 | 134 | 0 | 89 | 0 | 0 | -1 |
N.S. |
1 | 1.29 | 1.65 | 1.28 | 0.00 | 0.85 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.156 | 0.264 | 0.237 | 0.000 | 0.457 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 246 | 167 | 0 | 143 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.46 | 0.99 | 0.00 | 0.85 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.228 | 1.069 | 0.257 | 0.000 | 0.482 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 591 | 258 | 0 | 161 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.00 | 1.31 | 0.00 | 0.82 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.297 | 7.445 | 0.260 | 0.000 | 0.420 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 458 | 183 | 0 | 136 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.92 | 1.17 | 0.00 | 0.87 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.214 | 6.495 | 0.240 | 0.000 | 0.490 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 99 | 151 | 0 | 126 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 1.29 | 0.00 | 1.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.131 | 0.558 | 0.232 | 0.000 | 0.459 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 140 | 156 | 0 | 125 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 1.33 | 0.00 | 1.07 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.135 | 0.472 | 0.242 | 0.000 | 0.456 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 263 | 203 | 0 | 182 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.51 | 1.17 | 0.00 | 1.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.243 | 2.357 | 0.263 | 0.000 | 0.501 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 347 | 235 | 0 | 201 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.62 | 1.10 | 0.00 | 0.94 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.327 | 6.687 | 0.270 | 0.000 | 0.502 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 641 | 316 | 0 | 195 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.70 | 1.33 | 0.00 | 0.82 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.405 | 8.011 | 0.272 | 0.000 | 0.505 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 508 | 258 | 0 | 170 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.58 | 1.31 | 0.00 | 0.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.311 | 6.813 | 0.248 | 0.000 | 0.469 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 131 | 222 | 0 | 169 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 1.41 | 0.00 | 1.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.221 | 0.992 | 0.244 | 0.000 | 0.449 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 122 | 221 | 0 | 167 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 1.41 | 0.00 | 1.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.229 | 0.699 | 0.247 | 0.000 | 0.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 164 | 222 | 0 | 169 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 1.41 | 0.00 | 1.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.224 | 0.768 | 0.250 | 0.000 | 0.438 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 424 | 320 | 0 | 235 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.98 | 1.50 | 0.00 | 1.10 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.338 | 6.822 | 0.253 | 0.000 | 0.628 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 289 | 352 | 0 | 245 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.14 | 1.39 | 0.00 | 0.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.434 | 2.033 | 0.270 | 0.000 | 0.695 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 696 | 390 | 0 | 229 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.51 | 1.41 | 0.00 | 0.83 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.518 | 8.426 | 0.291 | 0.000 | 0.508 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 561 | 326 | 0 | 204 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.37 | 1.38 | 0.00 | 0.86 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.420 | 6.937 | 0.264 | 0.000 | 0.502 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 153 | 288 | 0 | 203 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 1.46 | 0.00 | 1.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.322 | 3.924 | 0.255 | 0.000 | 0.457 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 125 | 288 | 0 | 203 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.63 | 1.46 | 0.00 | 1.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.314 | 1.232 | 0.260 | 0.000 | 0.438 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 153 | 288 | 0 | 203 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 1.46 | 0.00 | 1.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.321 | 3.793 | 0.251 | 0.000 | 0.469 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 196 | 288 | 0 | 203 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 1.46 | 0.00 | 1.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.318 | 4.483 | 0.256 | 0.000 | 0.454 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 487 | 440 | 0 | 279 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.92 | 1.73 | 0.00 | 1.10 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.443 | 6.973 | 0.270 | 0.000 | 0.669 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 519 | 472 | 0 | 289 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.77 | 1.61 | 0.00 | 0.98 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.527 | 7.010 | 0.290 | 0.000 | 0.719 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 163 | 354 | 0 | 237 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 1.49 | 0.00 | 1.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.415 | 4.284 | 0.264 | 0.000 | 0.444 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 395 | 354 | 0 | 237 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.67 | 1.49 | 0.00 | 1.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.416 | 6.096 | 0.272 | 0.000 | 0.430 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 51 | 0 | 121 | 41 | 0 | 0 | 44 |
N.S. |
1 | 1.00 | 1.34 | 0.00 | 3.18 | 1.08 | 0.00 | 0.00 | 1.16 |
time (sec) |
N/A | 0.079 | 0.130 | 0.164 | 0.508 | 0.396 | 0.000 | 0.000 | 0.736 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 302 | 302 | 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 | 0.347 | 3.054 | 0.298 | 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(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 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 | 0.202 | 1.294 | 0.418 | 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 | 173 | 173 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.094 | 0.551 | 0.257 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 215 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.043 | 1.135 | 0.122 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |