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 | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 74 | 63 | 130 | 249 | 452 | 294 | 161 | 250 |
N.S. |
1 | 0.80 | 0.68 | 1.41 | 2.71 | 4.91 | 3.20 | 1.75 | 2.72 |
time (sec) |
N/A | 0.213 | 0.057 | 4.084 | 0.225 | 0.275 | 1.792 | 0.285 | 6.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 209 | 185 | 218 | 0 | 1886 | 332 | 310 | 430 |
N.S. |
1 | 0.95 | 0.84 | 0.99 | 0.00 | 8.57 | 1.51 | 1.41 | 1.95 |
time (sec) |
N/A | 0.345 | 0.136 | 4.059 | 0.000 | 0.299 | 1.402 | 0.292 | 6.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 200 | 182 | 190 | 0 | 1822 | 298 | 298 | 349 |
N.S. |
1 | 0.93 | 0.84 | 0.88 | 0.00 | 8.44 | 1.38 | 1.38 | 1.62 |
time (sec) |
N/A | 0.345 | 0.019 | 4.130 | 0.000 | 0.292 | 1.354 | 0.318 | 0.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 47 | 136 | 136 | 155 | 46 | 134 |
N.S. |
1 | 1.00 | 1.00 | 1.81 | 5.23 | 5.23 | 5.96 | 1.77 | 5.15 |
time (sec) |
N/A | 0.156 | 0.012 | 3.865 | 0.241 | 0.420 | 1.253 | 0.304 | 5.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 181 | 216 | 0 | 1780 | 323 | 286 | 357 |
N.S. |
1 | 1.00 | 0.87 | 1.04 | 0.00 | 8.60 | 1.56 | 1.38 | 1.72 |
time (sec) |
N/A | 0.347 | 0.013 | 0.100 | 0.000 | 0.310 | 1.283 | 0.301 | 0.611 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 77 | 66 | 148 | 258 | 474 | 292 | 153 | 249 |
N.S. |
1 | 0.82 | 0.70 | 1.57 | 2.74 | 5.04 | 3.11 | 1.63 | 2.65 |
time (sec) |
N/A | 0.211 | 0.050 | 4.213 | 0.231 | 0.270 | 1.832 | 0.309 | 6.489 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 228 | 199 | 219 | 0 | 879 | 445 | 295 | 485 |
N.S. |
1 | 0.96 | 0.84 | 0.92 | 0.00 | 3.71 | 1.88 | 1.24 | 2.05 |
time (sec) |
N/A | 0.379 | 0.083 | 4.124 | 0.000 | 0.289 | 2.202 | 0.313 | 7.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 225 | 195 | 192 | 0 | 1051 | 500 | 371 | 563 |
N.S. |
1 | 0.95 | 0.82 | 0.81 | 0.00 | 4.43 | 2.11 | 1.57 | 2.38 |
time (sec) |
N/A | 0.363 | 0.118 | 4.061 | 0.000 | 0.317 | 2.672 | 0.315 | 8.153 |
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 | 116 | 95 | 83 | 165 | 474 | 919 | 578 | 262 | 507 |
N.S. |
1 | 0.82 | 0.72 | 1.42 | 4.09 | 7.92 | 4.98 | 2.26 | 4.37 |
time (sec) |
N/A | 0.223 | 0.096 | 4.052 | 0.235 | 0.298 | 3.109 | 0.306 | 8.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 29 | 28 | 104 | 0 | 62 | 88 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.93 | 3.47 | 0.00 | 2.07 | 2.93 |
time (sec) |
N/A | 0.161 | 0.140 | 4.029 | 0.197 | 0.250 | 0.000 | 0.268 | 6.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 29 | 80 | 22 | 21 | 108 | 126 | 25 | 107 |
N.S. |
1 | 1.26 | 3.48 | 0.96 | 0.91 | 4.70 | 5.48 | 1.09 | 4.65 |
time (sec) |
N/A | 0.169 | 0.019 | 3.892 | 0.192 | 0.248 | 0.028 | 0.274 | 0.058 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 172 | 22 | 21 | 250 | 299 | 21 | 229 |
N.S. |
1 | 1.00 | 7.48 | 0.96 | 0.91 | 10.87 | 13.00 | 0.91 | 9.96 |
time (sec) |
N/A | 0.156 | 0.039 | 3.896 | 0.199 | 0.256 | 0.055 | 0.270 | 0.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 308 | 22 | 21 | 432 | 541 | 21 | 376 |
N.S. |
1 | 1.00 | 13.39 | 0.96 | 0.91 | 18.78 | 23.52 | 0.91 | 16.35 |
time (sec) |
N/A | 0.157 | 0.071 | 3.895 | 0.216 | 0.247 | 0.074 | 0.274 | 0.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 21 | 20 | 54 | 56 | 20 | 54 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.91 | 2.45 | 2.55 | 0.91 | 2.45 |
time (sec) |
N/A | 0.157 | 0.011 | 3.826 | 0.210 | 0.252 | 0.156 | 0.299 | 5.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 22 | 21 | 66 | 73 | 21 | 55 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.91 | 2.87 | 3.17 | 0.91 | 2.39 |
time (sec) |
N/A | 0.153 | 0.015 | 4.007 | 0.226 | 0.277 | 0.724 | 0.273 | 0.218 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 22 | 21 | 172 | 197 | 21 | 171 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.91 | 7.48 | 8.57 | 0.91 | 7.43 |
time (sec) |
N/A | 0.153 | 0.016 | 3.792 | 0.198 | 0.259 | 2.010 | 0.307 | 6.858 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 90 | 1036 | 0 | 0 | 0 | 0 | 56 |
N.S. |
1 | 1.00 | 0.81 | 9.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.50 |
time (sec) |
N/A | 0.183 | 10.057 | 2.182 | 0.000 | 0.000 | 0.000 | 0.000 | 6.283 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 152 | 389 | 1528 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 2.53 | 9.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.296 | 10.556 | 2.083 | 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(-2) | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 75 | 79 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 1.038 | 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(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 112 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 0.648 | 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(-2) | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 91 | 135 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.20 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 1.358 | 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(-2) | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 97 | 84 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.24 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.300 | 1.633 | 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 | 73 | 73 | 70 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 0.294 | 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 | 61 | 61 | 61 | 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 | 0.207 | 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 | 61 | 61 | 61 | 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 | 0.202 | 0.068 | 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 | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 53 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.02 |
time (sec) |
N/A | 0.190 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 7.351 |
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 | 46 | 46 | 46 | 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 | 0.184 | 0.096 | 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 | 62 | 62 | 59 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.206 | 0.103 | 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 | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 72 | 67 | 108 | 34 | 48 | 0 | 108 | 0 |
N.S. |
1 | 0.87 | 0.81 | 1.30 | 0.41 | 0.58 | 0.00 | 1.30 | 0.00 |
time (sec) |
N/A | 0.226 | 0.555 | 3.780 | 0.298 | 0.264 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 160 | 103 | 92 | 127 | 103 | 0 | 231 | 0 |
N.S. |
1 | 0.92 | 0.59 | 0.53 | 0.73 | 0.59 | 0.00 | 1.33 | 0.00 |
time (sec) |
N/A | 0.241 | 1.229 | 4.068 | 0.230 | 0.290 | 0.000 | 0.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 108 | 72 | 63 | 85 | 75 | 0 | 164 | 0 |
N.S. |
1 | 0.93 | 0.62 | 0.54 | 0.73 | 0.65 | 0.00 | 1.41 | 0.00 |
time (sec) |
N/A | 0.219 | 1.163 | 4.023 | 0.214 | 0.238 | 0.000 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 54 | 43 | 36 | 43 | 46 | 0 | 90 | 52 |
N.S. |
1 | 0.96 | 0.77 | 0.64 | 0.77 | 0.82 | 0.00 | 1.61 | 0.93 |
time (sec) |
N/A | 0.185 | 0.203 | 4.165 | 0.223 | 0.241 | 0.000 | 0.280 | 6.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 40 | 60 | 114 | 0 | 38 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.78 | 1.18 | 2.24 | 0.00 | 0.75 | 0.00 |
time (sec) |
N/A | 0.177 | 0.181 | 3.925 | 0.308 | 0.245 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 98 | 80 | 72 | 126 | 174 | 0 | 90 | 0 |
N.S. |
1 | 1.01 | 0.82 | 0.74 | 1.30 | 1.79 | 0.00 | 0.93 | 0.00 |
time (sec) |
N/A | 0.195 | 0.942 | 3.963 | 0.300 | 0.253 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 181 | 112 | 114 | 211 | 237 | 0 | 135 | 0 |
N.S. |
1 | 1.06 | 0.65 | 0.67 | 1.23 | 1.39 | 0.00 | 0.79 | 0.00 |
time (sec) |
N/A | 0.223 | 1.390 | 4.043 | 0.308 | 0.277 | 0.000 | 0.310 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 144 | 96 | 84 | 2192 | 98 | 0 | 201 | 0 |
N.S. |
1 | 0.75 | 0.50 | 0.44 | 11.48 | 0.51 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.246 | 1.554 | 3.827 | 0.473 | 0.255 | 0.000 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 90 | 64 | 55 | 387 | 70 | 0 | 135 | 0 |
N.S. |
1 | 0.80 | 0.57 | 0.49 | 3.42 | 0.62 | 0.00 | 1.19 | 0.00 |
time (sec) |
N/A | 0.203 | 1.275 | 4.128 | 0.222 | 0.259 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 27 | 42 | 40 | 0 | 18 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 1.24 | 1.18 | 0.00 | 0.53 | 0.00 |
time (sec) |
N/A | 0.153 | 1.113 | 3.928 | 0.239 | 0.250 | 0.000 | 0.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 74 | 87 | 54 | 0 | 180 | 0 | 54 | 0 |
N.S. |
1 | 1.10 | 1.30 | 0.81 | 0.00 | 2.69 | 0.00 | 0.81 | 0.00 |
time (sec) |
N/A | 0.177 | 1.114 | 3.931 | 0.000 | 0.262 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 151 | 63 | 97 | 0 | 252 | 0 | 114 | 0 |
N.S. |
1 | 1.05 | 0.44 | 0.67 | 0.00 | 1.75 | 0.00 | 0.79 | 0.00 |
time (sec) |
N/A | 0.205 | 1.186 | 3.930 | 0.000 | 0.261 | 0.000 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 232 | 63 | 133 | 0 | 314 | 0 | 156 | 0 |
N.S. |
1 | 1.06 | 0.29 | 0.61 | 0.00 | 1.43 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.241 | 1.351 | 3.942 | 0.000 | 0.258 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 113 | 93 | 67 | 0 | 0 | 78 | 0 | 55 | 0 |
N.S. |
1 | 0.82 | 0.59 | 0.00 | 0.00 | 0.69 | 0.00 | 0.49 | 0.00 |
time (sec) |
N/A | 0.219 | 2.209 | 0.000 | 0.000 | 0.331 | 0.000 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 57 | 43 | 0 | 43 | 56 | 0 | 38 | 0 |
N.S. |
1 | 1.02 | 0.77 | 0.00 | 0.77 | 1.00 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.198 | 1.513 | 0.000 | 0.209 | 0.272 | 0.000 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 29 | 0 | 46 | 0 | 20 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.00 | 1.28 | 0.00 | 0.56 | 0.00 |
time (sec) |
N/A | 0.163 | 1.380 | 4.046 | 0.000 | 0.258 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 53 | 0 | 61 | 133 | 0 | 42 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 1.11 | 2.42 | 0.00 | 0.76 | 0.00 |
time (sec) |
N/A | 0.180 | 0.383 | 0.000 | 0.296 | 0.264 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | A | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 71 | 77 | 93 | 0 | 0 | 206 | 0 | 61 | 0 |
N.S. |
1 | 1.08 | 1.31 | 0.00 | 0.00 | 2.90 | 0.00 | 0.86 | 0.00 |
time (sec) |
N/A | 0.190 | 1.572 | 0.000 | 0.000 | 0.277 | 0.000 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 340 | 344 | 109 | 0 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.32 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 7.094 | 0.000 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 306 | 315 | 64 | 0 | 0 | 84 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.21 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 1.833 | 0.000 | 0.000 | 0.137 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 298 | 302 | 69 | 0 | 0 | 67 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.23 | 0.00 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.279 | 10.024 | 0.000 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 352 | 355 | 69 | 0 | 0 | 96 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.20 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 2.266 | 0.000 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 709 | 710 | 109 | 0 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.15 | 0.00 | 0.00 | 0.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.554 | 2.228 | 0.000 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 642 | 659 | 69 | 495 | 0 | 105 | 0 | 0 | 55 |
N.S. |
1 | 1.03 | 0.11 | 0.77 | 0.00 | 0.16 | 0.00 | 0.00 | 0.09 |
time (sec) |
N/A | 0.543 | 10.020 | 3.943 | 0.000 | 0.094 | 0.000 | 0.000 | 6.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 661 | 671 | 67 | 0 | 0 | 84 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.10 | 0.00 | 0.00 | 0.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 1.992 | 0.000 | 0.000 | 1.773 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 681 | 701 | 69 | 0 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.10 | 0.00 | 0.00 | 0.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.562 | 10.022 | 0.000 | 0.000 | 0.092 | 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 | 86 | 109 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 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 | 88 | 100 | 74 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 0.602 | 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 | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 87 | 99 | 81 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.226 | 1.396 | 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(-2) | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 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 | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 14 | 2 | 6 | 0 | 2 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 0.12 | 0.35 | 0.00 | 0.12 | 0.00 |
time (sec) |
N/A | 0.144 | 2.903 | 3.775 | 0.280 | 0.270 | 0.000 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 124 | 72 | 103 | 85 | 75 | 0 | 111 | 0 |
N.S. |
1 | 1.07 | 0.62 | 0.89 | 0.73 | 0.65 | 0.00 | 0.96 | 0.00 |
time (sec) |
N/A | 0.270 | 1.203 | 7.546 | 0.195 | 0.358 | 0.000 | 0.287 | 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 | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 62 | 43 | 41 | 43 | 46 | 0 | 57 | 52 |
N.S. |
1 | 1.11 | 0.77 | 0.73 | 0.77 | 0.82 | 0.00 | 1.02 | 0.93 |
time (sec) |
N/A | 0.221 | 0.207 | 4.972 | 0.210 | 0.325 | 0.000 | 0.287 | 5.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-1) | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 57 | 55 | 40 | 61 | 0 | 0 | 67 | 0 |
N.S. |
1 | 1.04 | 1.00 | 0.73 | 1.11 | 0.00 | 0.00 | 1.22 | 0.00 |
time (sec) |
N/A | 0.211 | 0.190 | 5.112 | 0.280 | 0.000 | 0.000 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-1) | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 106 | 80 | 81 | 126 | 0 | 0 | 122 | 0 |
N.S. |
1 | 1.09 | 0.82 | 0.84 | 1.30 | 0.00 | 0.00 | 1.26 | 0.00 |
time (sec) |
N/A | 0.227 | 1.250 | 4.737 | 0.280 | 0.000 | 0.000 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 400 | 426 | 0 | 350 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.379 | 0.000 | 5.467 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 355 | 374 | 0 | 306 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.341 | 0.000 | 5.059 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 434 | 482 | 0 | 346 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 0.000 | 5.078 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 843 | 933 | 0 | 932 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.712 | 0.000 | 5.319 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 770 | 822 | 0 | 860 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.633 | 0.000 | 5.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 810 | 886 | 0 | 869 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.665 | 0.000 | 5.050 | 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 | A | A | F | A | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 124 | 80 | 0 | 85 | 87 | 0 | 121 | 0 |
N.S. |
1 | 1.07 | 0.69 | 0.00 | 0.73 | 0.75 | 0.00 | 1.04 | 0.00 |
time (sec) |
N/A | 0.272 | 2.371 | 0.000 | 0.198 | 1.686 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 62 | 43 | 0 | 43 | 56 | 0 | 63 | 0 |
N.S. |
1 | 1.11 | 0.77 | 0.00 | 0.77 | 1.00 | 0.00 | 1.12 | 0.00 |
time (sec) |
N/A | 0.223 | 1.663 | 0.000 | 0.197 | 0.980 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F(-1) | F | A | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 57 | 53 | 0 | 61 | 0 | 0 | 74 | 0 |
N.S. |
1 | 1.04 | 0.96 | 0.00 | 1.11 | 0.00 | 0.00 | 1.35 | 0.00 |
time (sec) |
N/A | 0.215 | 0.390 | 0.000 | 0.285 | 0.000 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F(-1) | F | A | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 106 | 82 | 0 | 128 | 0 | 0 | 130 | 0 |
N.S. |
1 | 1.05 | 0.81 | 0.00 | 1.27 | 0.00 | 0.00 | 1.29 | 0.00 |
time (sec) |
N/A | 0.229 | 1.788 | 0.000 | 0.282 | 0.000 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 642 | 727 | 69 | 495 | 0 | 0 | 0 | 0 | 52 |
N.S. |
1 | 1.13 | 0.11 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.08 |
time (sec) |
N/A | 0.634 | 10.080 | 3.962 | 0.000 | 0.000 | 0.000 | 0.000 | 6.507 |
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 | 170 | 228 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.350 | 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 | 91 | 117 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 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 | 139 | 185 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 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(-2) | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 130 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.276 | 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(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 130 | 84 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.55 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 0.795 | 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(-2) | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 154 | 89 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.83 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.337 | 1.571 | 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(-2) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 154 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.337 | 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 | A | A | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 188 | 112 | 211 | 211 | 224 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.66 | 1.25 | 1.25 | 1.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.267 | 0.224 | 4.000 | 0.279 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 116 | 78 | 147 | 126 | 161 | 0 | 130 | 0 |
N.S. |
1 | 1.26 | 0.85 | 1.60 | 1.37 | 1.75 | 0.00 | 1.41 | 0.00 |
time (sec) |
N/A | 0.243 | 0.138 | 3.955 | 0.289 | 0.321 | 0.000 | 0.336 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 55 | 51 | 150 | 61 | 110 | 73 | 0 | 0 |
N.S. |
1 | 1.08 | 1.00 | 2.94 | 1.20 | 2.16 | 1.43 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.045 | 4.107 | 0.294 | 0.330 | 0.524 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 60 | 54 | 41 | 43 | 48 | 0 | 0 | 52 |
N.S. |
1 | 1.07 | 0.96 | 0.73 | 0.77 | 0.86 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.223 | 0.047 | 3.870 | 0.201 | 0.322 | 0.000 | 0.000 | 5.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 122 | 86 | 97 | 85 | 77 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.74 | 0.84 | 0.73 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.269 | 0.080 | 4.177 | 0.213 | 0.311 | 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(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 182 | 103 | 133 | 127 | 105 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.59 | 0.76 | 0.73 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.320 | 0.104 | 4.014 | 0.209 | 0.356 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 194 | 112 | 298 | 211 | 224 | 0 | 175 | 0 |
N.S. |
1 | 1.13 | 0.65 | 1.73 | 1.23 | 1.30 | 0.00 | 1.02 | 0.00 |
time (sec) |
N/A | 0.280 | 0.149 | 4.401 | 0.296 | 0.327 | 0.000 | 0.353 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 122 | 79 | 230 | 131 | 165 | 0 | 139 | 0 |
N.S. |
1 | 1.28 | 0.83 | 2.42 | 1.38 | 1.74 | 0.00 | 1.46 | 0.00 |
time (sec) |
N/A | 0.252 | 0.125 | 4.283 | 0.281 | 0.412 | 0.000 | 0.349 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 32 | 31 | 203 | 45 | 81 | 56 | 96 | 0 |
N.S. |
1 | 1.03 | 1.00 | 6.55 | 1.45 | 2.61 | 1.81 | 3.10 | 0.00 |
time (sec) |
N/A | 0.207 | 0.031 | 4.304 | 0.286 | 0.329 | 0.455 | 0.347 | 0.000 |
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 | 54 | 58 | 42 | 41 | 42 | 34 | 0 | 0 | 52 |
N.S. |
1 | 1.07 | 0.78 | 0.76 | 0.78 | 0.63 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.224 | 0.040 | 4.179 | 0.190 | 0.313 | 0.000 | 0.000 | 5.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 118 | 72 | 336 | 85 | 61 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.64 | 3.00 | 0.76 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.270 | 0.064 | 4.485 | 0.196 | 0.339 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 180 | 103 | 400 | 127 | 89 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.60 | 2.33 | 0.74 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 0.093 | 4.437 | 0.198 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 64 | 48 | 90 | 62 | 55 | 0 | 42 | 37 |
N.S. |
1 | 1.10 | 0.83 | 1.55 | 1.07 | 0.95 | 0.00 | 0.72 | 0.64 |
time (sec) |
N/A | 0.193 | 0.074 | 3.974 | 0.197 | 0.281 | 0.000 | 0.320 | 6.007 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 145 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.320 | 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(-2) | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 108 | 78 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.80 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 1.130 | 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(-2) | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 115 | 85 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.47 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 1.720 | 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(-2) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 128 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 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(-2) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 145 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.316 | 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(-2) | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 106 | 96 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.83 | 1.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 1.351 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |