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 | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 165 | 206 | 334 | 179 | 0 | 191 | 228 |
N.S. |
1 | 1.00 | 0.84 | 1.05 | 1.70 | 0.91 | 0.00 | 0.97 | 1.16 |
time (sec) |
N/A | 0.407 | 1.743 | 4.912 | 0.232 | 0.276 | 0.000 | 0.400 | 15.544 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 146 | 172 | 240 | 163 | 0 | 172 | 195 |
N.S. |
1 | 1.00 | 1.04 | 1.23 | 1.71 | 1.16 | 0.00 | 1.23 | 1.39 |
time (sec) |
N/A | 0.258 | 1.160 | 3.126 | 0.214 | 0.269 | 0.000 | 0.373 | 15.150 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 122 | 133 | 203 | 147 | 0 | 153 | 163 |
N.S. |
1 | 1.00 | 1.26 | 1.37 | 2.09 | 1.52 | 0.00 | 1.58 | 1.68 |
time (sec) |
N/A | 0.155 | 0.730 | 3.321 | 0.207 | 0.280 | 0.000 | 0.369 | 15.224 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 45 | 56 | 57 | 65 | 0 | 48 | 84 |
N.S. |
1 | 1.00 | 0.96 | 1.19 | 1.21 | 1.38 | 0.00 | 1.02 | 1.79 |
time (sec) |
N/A | 0.086 | 0.025 | 1.699 | 0.205 | 0.248 | 0.000 | 0.313 | 16.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 97 | 84 | 95 | 103 | 0 | 103 | 91 |
N.S. |
1 | 1.00 | 1.76 | 1.53 | 1.73 | 1.87 | 0.00 | 1.87 | 1.65 |
time (sec) |
N/A | 0.087 | 0.263 | 1.651 | 0.192 | 0.268 | 0.000 | 0.302 | 14.431 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 201 | 64 | 153 | 87 | 0 | 77 | 46 |
N.S. |
1 | 1.00 | 3.59 | 1.14 | 2.73 | 1.55 | 0.00 | 1.38 | 0.82 |
time (sec) |
N/A | 0.229 | 1.609 | 0.490 | 0.279 | 0.260 | 0.000 | 0.313 | 14.136 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 53 | 41 | 174 | 88 | 0 | 57 | 40 |
N.S. |
1 | 1.00 | 0.75 | 0.58 | 2.45 | 1.24 | 0.00 | 0.80 | 0.56 |
time (sec) |
N/A | 0.318 | 0.065 | 0.617 | 0.300 | 0.262 | 0.000 | 0.301 | 14.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 151 | 54 | 215 | 128 | 0 | 72 | 96 |
N.S. |
1 | 1.00 | 1.48 | 0.53 | 2.11 | 1.25 | 0.00 | 0.71 | 0.94 |
time (sec) |
N/A | 0.435 | 1.356 | 0.598 | 0.296 | 0.253 | 0.000 | 0.324 | 14.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 119 | 67 | 294 | 172 | 0 | 88 | 124 |
N.S. |
1 | 1.00 | 0.89 | 0.50 | 2.21 | 1.29 | 0.00 | 0.66 | 0.93 |
time (sec) |
N/A | 0.554 | 0.829 | 0.547 | 0.299 | 0.253 | 0.000 | 0.348 | 14.299 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 111 | 80 | 335 | 212 | 0 | 104 | 146 |
N.S. |
1 | 1.00 | 0.68 | 0.49 | 2.04 | 1.29 | 0.00 | 0.63 | 0.89 |
time (sec) |
N/A | 0.676 | 0.867 | 0.686 | 0.296 | 0.255 | 0.000 | 0.370 | 14.414 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 189 | 217 | 356 | 195 | 0 | 210 | 259 |
N.S. |
1 | 1.00 | 1.01 | 1.15 | 1.89 | 1.04 | 0.00 | 1.12 | 1.38 |
time (sec) |
N/A | 0.294 | 1.983 | 4.594 | 0.201 | 0.284 | 0.000 | 0.424 | 15.847 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 165 | 206 | 334 | 179 | 0 | 191 | 227 |
N.S. |
1 | 1.00 | 1.25 | 1.56 | 2.53 | 1.36 | 0.00 | 1.45 | 1.72 |
time (sec) |
N/A | 0.172 | 1.162 | 3.828 | 0.201 | 0.282 | 0.000 | 0.384 | 15.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 61 | 81 | 94 | 81 | 0 | 65 | 122 |
N.S. |
1 | 1.00 | 0.90 | 1.19 | 1.38 | 1.19 | 0.00 | 0.96 | 1.79 |
time (sec) |
N/A | 0.086 | 0.029 | 2.305 | 0.197 | 0.269 | 0.000 | 0.351 | 17.864 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 122 | 133 | 203 | 147 | 0 | 153 | 163 |
N.S. |
1 | 1.00 | 1.26 | 1.37 | 2.09 | 1.52 | 0.00 | 1.58 | 1.68 |
time (sec) |
N/A | 0.141 | 0.464 | 2.742 | 0.197 | 0.266 | 0.000 | 0.350 | 15.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 101 | 77 | 107 | 118 | 0 | 104 | 104 |
N.S. |
1 | 1.00 | 1.31 | 1.00 | 1.39 | 1.53 | 0.00 | 1.35 | 1.35 |
time (sec) |
N/A | 0.178 | 0.480 | 1.799 | 0.205 | 0.275 | 0.000 | 0.335 | 15.482 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 275 | 94 | 274 | 125 | 0 | 111 | 85 |
N.S. |
1 | 1.00 | 3.53 | 1.21 | 3.51 | 1.60 | 0.00 | 1.42 | 1.09 |
time (sec) |
N/A | 0.250 | 4.392 | 0.650 | 0.285 | 0.253 | 0.000 | 0.343 | 14.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 226 | 66 | 274 | 156 | 0 | 80 | 45 |
N.S. |
1 | 1.00 | 2.57 | 0.75 | 3.11 | 1.77 | 0.00 | 0.91 | 0.51 |
time (sec) |
N/A | 0.432 | 2.680 | 0.664 | 0.286 | 0.277 | 0.000 | 0.341 | 14.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 53 | 54 | 282 | 128 | 0 | 73 | 96 |
N.S. |
1 | 1.00 | 0.52 | 0.53 | 2.76 | 1.25 | 0.00 | 0.72 | 0.94 |
time (sec) |
N/A | 0.536 | 0.062 | 0.548 | 0.294 | 0.269 | 0.000 | 0.334 | 14.503 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 161 | 67 | 383 | 172 | 0 | 88 | 122 |
N.S. |
1 | 1.00 | 1.21 | 0.50 | 2.88 | 1.29 | 0.00 | 0.66 | 0.92 |
time (sec) |
N/A | 0.692 | 1.458 | 0.641 | 0.345 | 0.262 | 0.000 | 0.360 | 14.798 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 139 | 80 | 403 | 212 | 0 | 104 | 146 |
N.S. |
1 | 1.00 | 0.85 | 0.49 | 2.46 | 1.29 | 0.00 | 0.63 | 0.89 |
time (sec) |
N/A | 0.862 | 1.452 | 0.718 | 0.358 | 0.261 | 0.000 | 0.389 | 16.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 153 | 351 | 137 | 603 | 242 | 0 | 153 | 145 |
N.S. |
1 | 1.12 | 2.58 | 1.01 | 4.43 | 1.78 | 0.00 | 1.12 | 1.07 |
time (sec) |
N/A | 0.478 | 3.182 | 0.764 | 0.354 | 0.260 | 0.000 | 0.376 | 13.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 298 | 105 | 413 | 220 | 0 | 134 | 112 |
N.S. |
1 | 1.00 | 2.92 | 1.03 | 4.05 | 2.16 | 0.00 | 1.31 | 1.10 |
time (sec) |
N/A | 0.378 | 2.443 | 0.682 | 0.321 | 0.296 | 0.000 | 0.333 | 13.307 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 189 | 58 | 268 | 173 | 0 | 80 | 46 |
N.S. |
1 | 1.00 | 2.22 | 0.68 | 3.15 | 2.04 | 0.00 | 0.94 | 0.54 |
time (sec) |
N/A | 0.440 | 1.366 | 0.664 | 0.295 | 0.280 | 0.000 | 0.333 | 13.225 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 67 | 41 | 170 | 94 | 0 | 60 | 38 |
N.S. |
1 | 1.00 | 1.00 | 0.61 | 2.54 | 1.40 | 0.00 | 0.90 | 0.57 |
time (sec) |
N/A | 0.275 | 0.045 | 0.543 | 0.289 | 0.247 | 0.000 | 0.308 | 14.535 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 139 | 37 | 119 | 86 | 0 | 53 | 41 |
N.S. |
1 | 1.00 | 2.28 | 0.61 | 1.95 | 1.41 | 0.00 | 0.87 | 0.67 |
time (sec) |
N/A | 0.201 | 0.671 | 0.556 | 0.291 | 0.270 | 0.000 | 0.283 | 15.447 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 58 | 50 | 102 | 70 | 0 | 81 | 69 |
N.S. |
1 | 1.00 | 0.84 | 0.72 | 1.48 | 1.01 | 0.00 | 1.17 | 1.00 |
time (sec) |
N/A | 0.149 | 0.759 | 0.554 | 0.293 | 0.246 | 0.000 | 0.304 | 13.963 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 39 | 38 | 46 | 81 | 0 | 95 | 58 |
N.S. |
1 | 1.00 | 0.85 | 0.83 | 1.00 | 1.76 | 0.00 | 2.07 | 1.26 |
time (sec) |
N/A | 0.092 | 0.040 | 0.564 | 0.278 | 0.247 | 0.000 | 0.304 | 14.405 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 70 | 78 | 147 | 154 | 0 | 110 | 161 |
N.S. |
1 | 1.00 | 0.71 | 0.80 | 1.50 | 1.57 | 0.00 | 1.12 | 1.64 |
time (sec) |
N/A | 0.190 | 1.032 | 0.575 | 0.278 | 0.250 | 0.000 | 0.340 | 14.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 81 | 91 | 167 | 166 | 0 | 122 | 185 |
N.S. |
1 | 1.00 | 0.49 | 0.55 | 1.01 | 1.00 | 0.00 | 0.73 | 1.11 |
time (sec) |
N/A | 0.282 | 2.252 | 0.715 | 0.280 | 0.264 | 0.000 | 0.359 | 14.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 91 | 104 | 186 | 232 | 0 | 135 | 209 |
N.S. |
1 | 1.00 | 0.43 | 0.50 | 0.89 | 1.10 | 0.00 | 0.64 | 1.00 |
time (sec) |
N/A | 0.371 | 5.911 | 0.737 | 0.288 | 0.261 | 0.000 | 0.409 | 14.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 372 | 118 | 562 | 289 | 0 | 154 | 134 |
N.S. |
1 | 1.00 | 2.30 | 0.73 | 3.47 | 1.78 | 0.00 | 0.95 | 0.83 |
time (sec) |
N/A | 0.586 | 5.288 | 0.769 | 0.313 | 0.260 | 0.000 | 0.406 | 14.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 202 | 69 | 396 | 242 | 0 | 102 | 50 |
N.S. |
1 | 1.00 | 1.36 | 0.47 | 2.68 | 1.64 | 0.00 | 0.69 | 0.34 |
time (sec) |
N/A | 0.772 | 2.657 | 0.620 | 0.299 | 0.265 | 0.000 | 0.352 | 14.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 90 | 54 | 277 | 138 | 0 | 80 | 93 |
N.S. |
1 | 1.00 | 0.94 | 0.56 | 2.89 | 1.44 | 0.00 | 0.83 | 0.97 |
time (sec) |
N/A | 0.483 | 0.053 | 0.675 | 0.288 | 0.256 | 0.000 | 0.331 | 14.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 151 | 54 | 211 | 138 | 0 | 80 | 93 |
N.S. |
1 | 1.00 | 1.57 | 0.56 | 2.20 | 1.44 | 0.00 | 0.83 | 0.97 |
time (sec) |
N/A | 0.374 | 1.272 | 0.624 | 0.294 | 0.261 | 0.000 | 0.323 | 14.468 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 79 | 50 | 159 | 124 | 0 | 71 | 85 |
N.S. |
1 | 1.00 | 0.90 | 0.57 | 1.81 | 1.41 | 0.00 | 0.81 | 0.97 |
time (sec) |
N/A | 0.248 | 0.502 | 0.546 | 0.296 | 0.263 | 0.000 | 0.302 | 14.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 71 | 65 | 122 | 109 | 0 | 102 | 82 |
N.S. |
1 | 1.00 | 0.56 | 0.52 | 0.97 | 0.87 | 0.00 | 0.81 | 0.65 |
time (sec) |
N/A | 0.249 | 0.623 | 0.618 | 0.303 | 0.243 | 0.000 | 0.302 | 14.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 70 | 78 | 146 | 154 | 0 | 116 | 161 |
N.S. |
1 | 1.00 | 0.70 | 0.78 | 1.46 | 1.54 | 0.00 | 1.16 | 1.61 |
time (sec) |
N/A | 0.175 | 1.060 | 0.638 | 0.294 | 0.246 | 0.000 | 0.345 | 14.899 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 39 | 53 | 56 | 118 | 0 | 129 | 94 |
N.S. |
1 | 1.00 | 0.58 | 0.79 | 0.84 | 1.76 | 0.00 | 1.93 | 1.40 |
time (sec) |
N/A | 0.103 | 0.067 | 0.648 | 0.282 | 0.254 | 0.000 | 0.349 | 15.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 81 | 104 | 187 | 232 | 0 | 142 | 209 |
N.S. |
1 | 1.00 | 0.63 | 0.81 | 1.45 | 1.80 | 0.00 | 1.10 | 1.62 |
time (sec) |
N/A | 0.214 | 5.235 | 0.728 | 0.291 | 0.252 | 0.000 | 0.401 | 15.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 91 | 117 | 205 | 271 | 0 | 154 | 233 |
N.S. |
1 | 1.00 | 0.43 | 0.56 | 0.98 | 1.29 | 0.00 | 0.73 | 1.11 |
time (sec) |
N/A | 0.295 | 6.333 | 0.738 | 0.291 | 0.259 | 0.000 | 0.436 | 14.610 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 787 | 130 | 227 | 310 | 0 | 169 | 257 |
N.S. |
1 | 1.00 | 3.12 | 0.52 | 0.90 | 1.23 | 0.00 | 0.67 | 1.02 |
time (sec) |
N/A | 0.372 | 11.116 | 0.694 | 0.295 | 0.278 | 0.000 | 0.432 | 14.788 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 122 | 233 | 0 | 373 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.33 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 5.732 | 7.131 | 0.000 | 0.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 112 | 211 | 0 | 347 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 1.51 | 0.00 | 2.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 1.368 | 6.165 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 100 | 160 | 0 | 313 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 1.52 | 0.00 | 2.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 0.821 | 4.938 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 91 | 93 | 147 | 234 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.38 | 1.41 | 2.23 | 3.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.143 | 0.527 | 3.976 | 0.367 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 46 | 87 | 0 | 266 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.26 | 0.00 | 3.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.195 | 0.365 | 2.256 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 59 | 180 | 0 | 339 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 1.73 | 0.00 | 3.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 0.521 | 2.231 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 59 | 264 | 0 | 405 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.42 | 1.90 | 0.00 | 2.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 0.654 | 2.653 | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 59 | 348 | 0 | 475 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.34 | 2.00 | 0.00 | 2.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 4.384 | 2.802 | 0.000 | 0.331 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 124 | 234 | 0 | 385 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.32 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 1.704 | 8.283 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 114 | 189 | 0 | 355 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 1.33 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.227 | 0.974 | 6.153 | 0.000 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 100 | 206 | 998 | 303 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 2.04 | 9.88 | 3.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 0.588 | 1.109 | 0.436 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 78 | 90 | 0 | 269 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.11 | 1.29 | 0.00 | 3.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 0.531 | 2.094 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 73 | 181 | 0 | 351 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.77 | 0.00 | 3.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.644 | 2.067 | 0.000 | 0.303 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 73 | 265 | 0 | 417 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 1.93 | 0.00 | 3.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.233 | 0.957 | 2.741 | 0.000 | 0.332 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 73 | 349 | 0 | 495 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.42 | 2.03 | 0.00 | 2.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.238 | 4.602 | 2.461 | 0.000 | 0.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 134 | 223 | 0 | 441 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 1.05 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 2.463 | 89.612 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 124 | 207 | 0 | 409 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.17 | 0.00 | 2.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 1.096 | 22.837 | 0.000 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 110 | 190 | 1396 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.44 | 10.58 | 2.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.622 | 7.990 | 0.418 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 66 | 100 | 0 | 291 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 0.97 | 0.00 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 0.400 | 5.275 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 70 | 175 | 0 | 339 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 2.36 | 0.00 | 4.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 0.607 | 13.920 | 0.000 | 0.323 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 73 | 267 | 0 | 441 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 2.57 | 0.00 | 4.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 1.130 | 70.083 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 73 | 351 | 0 | 527 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 2.51 | 0.00 | 3.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 4.699 | 1.636 | 0.000 | 0.345 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 73 | 435 | 0 | 601 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.42 | 2.53 | 0.00 | 3.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 5.219 | 1.349 | 0.000 | 0.358 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 153 | 282 | 0 | 552 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.52 | 0.00 | 2.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.322 | 5.428 | 6.491 | 0.000 | 0.701 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 166 | 260 | 0 | 518 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.09 | 1.71 | 0.00 | 3.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 2.416 | 5.125 | 0.000 | 0.599 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 100 | 325 | 0 | 438 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 2.73 | 0.00 | 3.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.685 | 5.185 | 0.000 | 0.382 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 102 | 137 | 699 | 298 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 1.57 | 8.03 | 3.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.162 | 0.365 | 2.424 | 0.618 | 0.339 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 75 | 167 | 0 | 436 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 1.38 | 0.00 | 3.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.229 | 0.433 | 2.476 | 0.000 | 0.354 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 83 | 202 | 0 | 520 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.25 | 0.00 | 3.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.278 | 0.399 | 2.332 | 0.000 | 0.348 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 83 | 375 | 0 | 608 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.42 | 1.91 | 0.00 | 3.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.349 | 0.533 | 2.847 | 0.000 | 0.365 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 196 | 282 | 0 | 634 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.39 | 0.00 | 3.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 4.514 | 7.019 | 0.000 | 1.065 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 132 | 222 | 0 | 550 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.31 | 0.00 | 3.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 2.757 | 5.666 | 0.000 | 0.560 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 134 | 119 | 200 | 0 | 542 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 1.00 | 1.68 | 0.00 | 4.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 0.826 | 3.034 | 0.000 | 0.491 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 130 | 145 | 201 | 0 | 505 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 1.28 | 1.78 | 0.00 | 4.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.640 | 2.430 | 0.000 | 0.387 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 102 | 339 | 0 | 514 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.58 | 1.92 | 0.00 | 2.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.316 | 0.450 | 2.176 | 0.000 | 0.377 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 102 | 202 | 0 | 560 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 0.94 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 0.470 | 2.693 | 0.000 | 0.372 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 102 | 232 | 0 | 714 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.41 | 0.93 | 0.00 | 2.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.444 | 0.596 | 2.748 | 0.000 | 0.399 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 260 | 260 | 180 | 304 | 0 | 742 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 1.17 | 0.00 | 2.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.407 | 8.452 | 7.706 | 0.000 | 1.695 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 164 | 246 | 0 | 655 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.07 | 0.00 | 2.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.364 | 5.350 | 6.129 | 0.000 | 1.387 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 136 | 250 | 0 | 645 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 1.31 | 0.00 | 3.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 2.652 | 3.888 | 0.000 | 1.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 145 | 245 | 0 | 645 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.30 | 0.00 | 3.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 1.523 | 3.549 | 0.000 | 0.837 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 148 | 181 | 178 | 243 | 0 | 605 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 1.20 | 1.64 | 0.00 | 4.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 1.490 | 2.662 | 0.000 | 0.564 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 117 | 500 | 0 | 608 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 2.17 | 0.00 | 2.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.387 | 0.523 | 2.483 | 0.000 | 0.376 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 112 | 375 | 0 | 706 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.42 | 1.39 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 0.530 | 2.705 | 0.000 | 0.393 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 84 | 167 | 1289 | 459 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.45 | 0.90 | 6.97 | 2.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 1.825 | 2.492 | 0.463 | 0.334 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 72 | 157 | 710 | 425 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.13 | 5.11 | 3.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.636 | 2.220 | 0.394 | 0.340 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 57 | 132 | 243 | 350 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.42 | 2.61 | 3.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 0.502 | 2.338 | 0.398 | 0.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 51 | 87 | 39 | 200 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 1.81 | 0.81 | 4.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.110 | 0.267 | 2.455 | 0.397 | 0.326 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 62 | 77 | 65 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 1.51 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.117 | 0.356 | 2.112 | 0.308 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 72 | 148 | 399 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 1.54 | 4.16 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 0.677 | 2.412 | 0.370 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 90 | 237 | 1173 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 1.67 | 8.26 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.374 | 0.825 | 2.376 | 0.478 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 100 | 259 | 2444 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 1.38 | 13.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.494 | 1.936 | 2.409 | 1.906 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 87 | 166 | 1356 | 467 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.46 | 0.87 | 7.14 | 2.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.477 | 0.829 | 2.098 | 0.480 | 0.332 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 66 | 143 | 477 | 346 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 1.39 | 4.63 | 3.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.147 | 0.578 | 2.298 | 0.403 | 0.321 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 68 | 118 | 243 | 347 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.27 | 2.61 | 3.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 0.409 | 2.131 | 0.399 | 0.328 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 65 | 112 | 60 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 1.08 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.138 | 0.370 | 1.990 | 0.385 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 76 | 145 | 95 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.45 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 0.754 | 2.114 | 0.318 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 83 | 238 | 1786 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 1.63 | 12.23 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.363 | 1.028 | 2.027 | 0.527 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 102 | 260 | 3480 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.33 | 17.76 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.488 | 2.513 | 2.108 | 1.846 | 0.000 | 0.000 | 0.000 | 0.000 |