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 | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 242 | 152 | 0 | 924 | 0 | 0 | 2779 |
N.S. |
1 | 1.00 | 1.32 | 0.83 | 0.00 | 5.02 | 0.00 | 0.00 | 15.10 |
time (sec) |
N/A | 0.140 | 0.240 | 0.641 | 0.000 | 0.548 | 0.000 | 0.000 | 15.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 409 | 193 | 0 | 1089 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.79 | 0.84 | 0.00 | 4.76 | 0.00 | 0.00 | 10.92 |
time (sec) |
N/A | 0.176 | 0.813 | 0.646 | 0.000 | 0.602 | 0.000 | 0.000 | 15.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 172 | 209 | 0 | 1311 | 0 | 461 | 2500 |
N.S. |
1 | 1.00 | 0.93 | 1.14 | 0.00 | 7.12 | 0.00 | 2.51 | 13.59 |
time (sec) |
N/A | 0.197 | 0.635 | 0.386 | 0.000 | 0.560 | 0.000 | 1.108 | 16.867 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 157 | 186 | 0 | 1275 | 0 | 695 | 1273 |
N.S. |
1 | 1.00 | 1.01 | 1.20 | 0.00 | 8.23 | 0.00 | 4.48 | 8.21 |
time (sec) |
N/A | 0.140 | 0.584 | 0.365 | 0.000 | 0.605 | 0.000 | 1.256 | 16.401 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 143 | 163 | 0 | 1125 | 0 | 912 | 2991 |
N.S. |
1 | 1.00 | 1.13 | 1.28 | 0.00 | 8.86 | 0.00 | 7.18 | 23.55 |
time (sec) |
N/A | 0.133 | 0.276 | 0.365 | 0.000 | 0.530 | 0.000 | 0.913 | 16.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 137 | 145 | 0 | 1087 | 0 | 397 | 443 |
N.S. |
1 | 1.00 | 1.10 | 1.16 | 0.00 | 8.70 | 0.00 | 3.18 | 3.54 |
time (sec) |
N/A | 0.081 | 0.223 | 0.382 | 0.000 | 0.528 | 0.000 | 0.999 | 16.187 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 128 | 145 | 0 | 1079 | 0 | 361 | 671 |
N.S. |
1 | 1.00 | 1.11 | 1.26 | 0.00 | 9.38 | 0.00 | 3.14 | 5.83 |
time (sec) |
N/A | 0.065 | 0.171 | 0.351 | 0.000 | 0.535 | 0.000 | 0.585 | 14.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 143 | 164 | 0 | 1229 | 0 | 672 | 371 |
N.S. | 1 | 1.00 | 1.03 | 1.18 | 0.00 | 8.84 | 0.00 | 4.83 | 2.67 |
time (sec) |
N/A | 0.127 | 0.743 | 0.497 | 0.000 | 0.558 | 0.000 | 0.835 | 14.512 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 165 | 177 | 0 | 1365 | 0 | 938 | 1670 |
N.S. | 1 | 1.00 | 1.11 | 1.19 | 0.00 | 9.16 | 0.00 | 6.30 | 11.21 |
time (sec) |
N/A | 0.132 | 1.076 | 0.536 | 0.000 | 0.577 | 0.000 | 0.874 | 15.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 174 | 195 | 0 | 1477 | 0 | 471 | 416 |
N.S. |
1 | 1.00 | 0.98 | 1.10 | 0.00 | 8.30 | 0.00 | 2.65 | 2.34 |
time (sec) |
N/A | 0.143 | 3.144 | 0.529 | 0.000 | 0.580 | 0.000 | 0.778 | 15.256 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 277 | 213 | 0 | 1585 | 0 | 467 | 1704 |
N.S. |
1 | 1.00 | 1.41 | 1.08 | 0.00 | 8.05 | 0.00 | 2.37 | 8.65 |
time (sec) |
N/A | 0.162 | 6.222 | 0.513 | 0.000 | 0.630 | 0.000 | 0.830 | 17.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 486 | 209 | 0 | 2649 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.06 | 0.89 | 0.00 | 11.22 | 0.00 | 0.00 | 10.59 |
time (sec) |
N/A | 0.337 | 0.820 | 1.059 | 0.000 | 0.727 | 0.000 | 0.000 | 16.004 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 565 | 214 | 0 | 2507 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.69 | 1.02 | 0.00 | 11.94 | 0.00 | 0.00 | 11.90 |
time (sec) |
N/A | 0.233 | 0.396 | 0.937 | 0.000 | 0.687 | 0.000 | 0.000 | 15.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 469 | 188 | 0 | 2507 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.16 | 0.87 | 0.00 | 11.55 | 0.00 | 0.00 | 11.52 |
time (sec) |
N/A | 0.193 | 0.443 | 0.875 | 0.000 | 0.658 | 0.000 | 0.000 | 16.630 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 345 | 204 | 0 | 2049 | 0 | 605 | 3060 |
N.S. |
1 | 1.00 | 1.85 | 1.10 | 0.00 | 11.02 | 0.00 | 3.25 | 16.45 |
time (sec) |
N/A | 0.136 | 0.221 | 0.635 | 0.000 | 0.562 | 0.000 | 0.912 | 15.603 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 469 | 241 | 0 | 2269 | 0 | 693 | 2500 |
N.S. |
1 | 1.00 | 2.12 | 1.09 | 0.00 | 10.27 | 0.00 | 3.14 | 11.31 |
time (sec) |
N/A | 0.196 | 0.280 | 1.063 | 0.000 | 0.660 | 0.000 | 0.789 | 16.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 325 | 325 | 600 | 243 | 0 | 2711 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.85 | 0.75 | 0.00 | 8.34 | 0.00 | 0.00 | 7.69 |
time (sec) |
N/A | 0.264 | 0.592 | 1.145 | 0.000 | 0.962 | 0.000 | 0.000 | 17.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 262 | 266 | 0 | 3544 | 0 | 1563 | 2500 |
N.S. |
1 | 1.00 | 0.82 | 0.83 | 0.00 | 11.08 | 0.00 | 4.88 | 7.81 |
time (sec) |
N/A | 0.316 | 3.359 | 0.792 | 0.000 | 1.044 | 0.000 | 0.921 | 17.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 238 | 262 | 0 | 3135 | 0 | 1481 | 2500 |
N.S. |
1 | 1.00 | 1.02 | 1.12 | 0.00 | 13.45 | 0.00 | 6.36 | 10.73 |
time (sec) |
N/A | 0.224 | 1.774 | 0.714 | 0.000 | 1.004 | 0.000 | 0.872 | 16.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 225 | 218 | 0 | 2796 | 0 | 1262 | 2980 |
N.S. |
1 | 1.00 | 1.15 | 1.12 | 0.00 | 14.34 | 0.00 | 6.47 | 15.28 |
time (sec) |
N/A | 0.160 | 2.985 | 0.550 | 0.000 | 0.757 | 0.000 | 0.886 | 15.990 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 255 | 250 | 0 | 3445 | 0 | 1407 | 2500 |
N.S. |
1 | 1.00 | 1.16 | 1.14 | 0.00 | 15.73 | 0.00 | 6.42 | 11.42 |
time (sec) |
N/A | 0.201 | 1.432 | 0.800 | 0.000 | 0.989 | 0.000 | 0.892 | 17.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 230 | 260 | 0 | 3477 | 0 | 1506 | 2500 |
N.S. |
1 | 1.00 | 1.10 | 1.24 | 0.00 | 16.56 | 0.00 | 7.17 | 11.90 |
time (sec) |
N/A | 0.172 | 1.959 | 0.817 | 0.000 | 1.045 | 0.000 | 0.557 | 16.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 274 | 269 | 0 | 3648 | 0 | 1545 | 2500 |
N.S. |
1 | 1.00 | 1.16 | 1.14 | 0.00 | 15.46 | 0.00 | 6.55 | 10.59 |
time (sec) |
N/A | 0.360 | 1.614 | 0.881 | 0.000 | 1.189 | 0.000 | 0.869 | 18.290 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 315 | 315 | 785 | 342 | 0 | 4640 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.49 | 1.09 | 0.00 | 14.73 | 0.00 | 0.00 | 7.94 |
time (sec) |
N/A | 0.387 | 1.070 | 1.754 | 0.000 | 1.140 | 0.000 | 0.000 | 19.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 630 | 303 | 0 | 4185 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.17 | 1.04 | 0.00 | 14.43 | 0.00 | 0.00 | 8.62 |
time (sec) |
N/A | 0.301 | 0.773 | 1.502 | 0.000 | 0.881 | 0.000 | 0.000 | 19.618 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 786 | 347 | 0 | 4524 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.51 | 1.11 | 0.00 | 14.45 | 0.00 | 0.00 | 7.99 |
time (sec) |
N/A | 0.319 | 0.933 | 1.790 | 0.000 | 1.058 | 0.000 | 0.000 | 20.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 288 | 288 | 631 | 403 | 0 | 4050 | 0 | 1076 | 2500 |
N.S. |
1 | 1.00 | 2.19 | 1.40 | 0.00 | 14.06 | 0.00 | 3.74 | 8.68 |
time (sec) |
N/A | 0.342 | 0.738 | 1.447 | 0.000 | 0.925 | 0.000 | 1.289 | 19.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 784 | 430 | 0 | 4160 | 0 | 766 | 2500 |
N.S. |
1 | 1.00 | 2.50 | 1.37 | 0.00 | 13.29 | 0.00 | 2.45 | 7.99 |
time (sec) |
N/A | 0.322 | 0.846 | 1.778 | 0.000 | 1.042 | 0.000 | 1.197 | 18.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 617 | 617 | 920 | 384 | 0 | 5020 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.49 | 0.62 | 0.00 | 8.14 | 0.00 | 0.00 | 4.05 |
time (sec) |
N/A | 0.578 | 2.932 | 2.010 | 0.000 | 2.240 | 0.000 | 0.000 | 20.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 319 | 319 | 331 | 374 | 0 | 5219 | 0 | 1989 | 2500 |
N.S. |
1 | 1.00 | 1.04 | 1.17 | 0.00 | 16.36 | 0.00 | 6.24 | 7.84 |
time (sec) |
N/A | 0.348 | 2.946 | 1.155 | 0.000 | 1.475 | 0.000 | 1.321 | 19.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 350 | 432 | 0 | 5961 | 0 | 2231 | 2500 |
N.S. |
1 | 1.00 | 1.02 | 1.26 | 0.00 | 17.38 | 0.00 | 6.50 | 7.29 |
time (sec) |
N/A | 0.514 | 2.582 | 1.729 | 0.000 | 2.084 | 0.000 | 1.271 | 20.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 316 | 372 | 0 | 5510 | 0 | 1986 | 2500 |
N.S. |
1 | 1.00 | 1.01 | 1.19 | 0.00 | 17.60 | 0.00 | 6.35 | 7.99 |
time (sec) |
N/A | 0.459 | 3.420 | 1.102 | 0.000 | 1.466 | 0.000 | 1.414 | 19.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 347 | 347 | 343 | 422 | 0 | 6215 | 0 | 1184 | 2500 |
N.S. |
1 | 1.00 | 0.99 | 1.22 | 0.00 | 17.91 | 0.00 | 3.41 | 7.20 |
time (sec) |
N/A | 0.462 | 5.373 | 1.649 | 0.000 | 2.426 | 0.000 | 1.408 | 19.905 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 319 | 319 | 333 | 416 | 0 | 6152 | 0 | 1131 | 2500 |
N.S. |
1 | 1.00 | 1.04 | 1.30 | 0.00 | 19.29 | 0.00 | 3.55 | 7.84 |
time (sec) |
N/A | 0.424 | 2.097 | 1.658 | 0.000 | 2.601 | 0.000 | 0.710 | 19.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 357 | 357 | 357 | 437 | 0 | 6323 | 0 | 2203 | 2500 |
N.S. |
1 | 1.00 | 1.00 | 1.22 | 0.00 | 17.71 | 0.00 | 6.17 | 7.00 |
time (sec) |
N/A | 0.874 | 3.514 | 1.776 | 0.000 | 2.746 | 0.000 | 1.370 | 20.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 45 | 24 | 18 | 17 | 43 | 724 | 51 | 17 |
N.S. | 1 | 1.80 | 0.96 | 0.72 | 0.68 | 1.72 | 28.96 | 2.04 | 0.68 |
time (sec) |
N/A | 0.013 | 0.041 | 0.154 | 0.498 | 0.397 | 24.195 | 0.439 | 14.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 487 | 487 | 148 | 771 | 0 | 823 | 0 | 318 | 407 |
N.S. |
1 | 1.00 | 0.30 | 1.58 | 0.00 | 1.69 | 0.00 | 0.65 | 0.84 |
time (sec) |
N/A | 0.774 | 0.224 | 0.334 | 0.000 | 0.549 | 0.000 | 0.617 | 15.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 309 | 309 | 45 | 190 | 0 | 3830 | 0 | 170 | 236 |
N.S. |
1 | 1.00 | 0.15 | 0.61 | 0.00 | 12.39 | 0.00 | 0.55 | 0.76 |
time (sec) |
N/A | 0.136 | 0.056 | 0.438 | 0.000 | 18.116 | 0.000 | 0.581 | 14.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 477 | 477 | 47242 | 439 | 0 | 35 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 99.04 | 0.92 | 0.00 | 0.07 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.261 | 61.215 | 18.470 | 0.000 | 0.110 | 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 | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 521 | 521 | 118912 | 0 | 0 | 35 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 228.24 | 0.00 | 0.00 | 0.07 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.442 | 41.545 | 1.325 | 0.000 | 0.156 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 484 | 484 | 47246 | 837 | 0 | 55 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 97.62 | 1.73 | 0.00 | 0.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.279 | 61.223 | 20.277 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 431 | 431 | 89374 | 398 | 0 | 46 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 207.36 | 0.92 | 0.00 | 0.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.211 | 51.300 | 20.519 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 13300 | 163 | 0 | 35 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 77.78 | 0.95 | 0.00 | 0.20 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.074 | 45.064 | 17.546 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 469 | 469 | 63281 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 134.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.289 | 41.073 | 1.442 | 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(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 776 | 776 | 119171 | 0 | 0 | 37 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 153.57 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.702 | 41.765 | 1.382 | 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 | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 499 | 499 | 287 | 881 | 0 | 40 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.58 | 1.77 | 0.00 | 0.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.462 | 32.076 | 46.237 | 0.000 | 0.203 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 304 | 396 | 0 | 28 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.88 | 2.44 | 0.00 | 0.17 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.054 | 16.176 | 29.469 | 0.000 | 0.096 | 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 | 493 | 493 | 432 | 0 | 0 | 37 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.280 | 101.050 | 1.349 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 384 | 384 | 149 | 109 | 0 | 0 | 0 | 0 | 1515 |
N.S. |
1 | 1.00 | 0.39 | 0.28 | 0.00 | 0.00 | 0.00 | 0.00 | 3.95 |
time (sec) |
N/A | 0.485 | 0.147 | 0.707 | 0.000 | 0.000 | 0.000 | 0.000 | 19.752 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 148 | 68 | 0 | 15501 | 0 | 0 | 513 |
N.S. | 1 | 1.00 | 0.87 | 0.40 | 0.00 | 90.65 | 0.00 | 0.00 | 3.00 |
time (sec) |
N/A | 0.184 | 0.166 | 0.852 | 0.000 | 1.938 | 0.000 | 0.000 | 15.705 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 174 | 85 | 0 | 665483 | 0 | 0 | 816 |
N.S. | 1 | 1.00 | 0.71 | 0.35 | 0.00 | 2716.26 | 0.00 | 0.00 | 3.33 |
time (sec) |
N/A | 0.338 | 0.221 | 0.482 | 0.000 | 6.293 | 0.000 | 0.000 | 16.948 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 379 | 379 | 149 | 109 | 0 | 0 | 0 | 0 | 1515 |
N.S. |
1 | 1.00 | 0.39 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | 4.00 |
time (sec) |
N/A | 0.335 | 0.135 | 0.639 | 0.000 | 0.000 | 0.000 | 0.000 | 20.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 148 | 71 | 0 | 16697 | 0 | 0 | 513 |
N.S. | 1 | 1.00 | 0.85 | 0.41 | 0.00 | 95.41 | 0.00 | 0.00 | 2.93 |
time (sec) |
N/A | 0.180 | 0.125 | 0.920 | 0.000 | 1.944 | 0.000 | 0.000 | 16.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 174 | 88 | 0 | 643307 | 0 | 0 | 818 |
N.S. | 1 | 1.00 | 0.82 | 0.41 | 0.00 | 3020.22 | 0.00 | 0.00 | 3.84 |
time (sec) |
N/A | 0.145 | 0.144 | 0.492 | 0.000 | 6.382 | 0.000 | 0.000 | 16.542 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 411 | 133 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.11 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 12.82 |
time (sec) |
N/A | 0.257 | 0.107 | 0.668 | 0.000 | 0.000 | 0.000 | 0.000 | 15.254 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 79 | 72 | 71 | 138 | 0 | 185 | 98 |
N.S. |
1 | 1.00 | 0.77 | 0.70 | 0.69 | 1.34 | 0.00 | 1.80 | 0.95 |
time (sec) |
N/A | 0.073 | 0.124 | 0.217 | 0.503 | 0.421 | 0.000 | 0.414 | 14.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 129 | 141 | 71 | 0 | 0 | 0 | 0 | 945 |
N.S. |
1 | 0.59 | 0.65 | 0.33 | 0.00 | 0.00 | 0.00 | 0.00 | 4.33 |
time (sec) |
N/A | 0.136 | 0.116 | 0.549 | 0.000 | 0.000 | 0.000 | 0.000 | 14.919 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 413 | 133 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 2.21 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 13.37 |
time (sec) |
N/A | 0.174 | 0.098 | 0.665 | 0.000 | 0.000 | 0.000 | 0.000 | 14.440 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 117 | 202 | 0 | 0 | 0 | 197 | 99 |
N.S. |
1 | 1.00 | 1.65 | 2.85 | 0.00 | 0.00 | 0.00 | 2.77 | 1.39 |
time (sec) |
N/A | 0.097 | 0.216 | 0.309 | 0.000 | 0.000 | 0.000 | 0.477 | 14.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 64 | 206 | 0 | 3884 | 0 | 220 | 141 |
N.S. |
1 | 1.00 | 0.72 | 2.31 | 0.00 | 43.64 | 0.00 | 2.47 | 1.58 |
time (sec) |
N/A | 0.055 | 0.132 | 0.386 | 0.000 | 18.059 | 0.000 | 0.560 | 14.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 35 | 26 | 28 | 27 | 580 | 28 | 34 |
N.S. | 1 | 1.00 | 0.92 | 0.68 | 0.74 | 0.71 | 15.26 | 0.74 | 0.89 |
time (sec) |
N/A | 0.032 | 0.005 | 0.104 | 0.272 | 0.409 | 15.009 | 0.444 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 27 | 20 | 22 | 21 | 311 | 22 | 19 |
N.S. | 1 | 1.00 | 0.93 | 0.69 | 0.76 | 0.72 | 10.72 | 0.76 | 0.66 |
time (sec) |
N/A | 0.033 | 0.004 | 0.147 | 0.273 | 0.397 | 6.489 | 0.437 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 19 | 14 | 14 | 13 | 124 | 14 | 16 |
N.S. | 1 | 1.00 | 1.06 | 0.78 | 0.78 | 0.72 | 6.89 | 0.78 | 0.89 |
time (sec) |
N/A | 0.030 | 0.004 | 0.149 | 0.285 | 0.407 | 2.469 | 0.465 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 7 | 6 | 6 | 15 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.17 | 1.00 | 1.00 | 2.50 | 1.00 | 1.00 |
time (sec) |
N/A | 0.025 | 0.003 | 0.110 | 0.275 | 0.414 | 0.819 | 0.447 | 13.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 7 | 7 | 37 | 8 | 21 | 20 | 19 | 23 | 7 |
N.S. | 1 | 1.00 | 5.29 | 1.14 | 3.00 | 2.86 | 2.71 | 3.29 | 1.00 |
time (sec) |
N/A | 0.016 | 0.005 | 0.089 | 0.280 | 0.400 | 0.080 | 0.428 | 13.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 61 | 52 | 51 | 46 | 0 | 47 | 31 |
N.S. | 1 | 1.00 | 1.74 | 1.49 | 1.46 | 1.31 | 0.00 | 1.34 | 0.89 |
time (sec) |
N/A | 0.036 | 0.099 | 0.172 | 0.271 | 0.397 | 0.000 | 0.438 | 13.879 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 26 | 35 | 37 | 23 | 473 | 36 | 25 |
N.S. | 1 | 1.00 | 0.79 | 1.06 | 1.12 | 0.70 | 14.33 | 1.09 | 0.76 |
time (sec) |
N/A | 0.032 | 0.004 | 0.163 | 0.505 | 0.413 | 4.066 | 0.466 | 13.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 23 | 21 | 12 | 153 | 24 | 13 |
N.S. | 1 | 1.00 | 0.90 | 1.15 | 1.05 | 0.60 | 7.65 | 1.20 | 0.65 |
time (sec) |
N/A | 0.029 | 0.003 | 0.143 | 0.489 | 0.398 | 1.459 | 0.454 | 13.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 5 | 8 | 5 | 5 | 2 | 14 | 5 |
N.S. | 1 | 1.00 | 1.00 | 1.60 | 1.00 | 1.00 | 0.40 | 2.80 | 1.00 |
time (sec) |
N/A | 0.026 | 0.001 | 0.137 | 0.501 | 0.392 | 0.453 | 0.450 | 13.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 45 | 36 | 37 | 37 | 0 | 38 | 25 |
N.S. | 1 | 1.00 | 2.05 | 1.64 | 1.68 | 1.68 | 0.00 | 1.73 | 1.14 |
time (sec) |
N/A | 0.026 | 0.032 | 0.161 | 0.277 | 0.408 | 0.000 | 0.464 | 13.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 21 | 14 | 14 | 19 | 0 | 14 | 13 |
N.S. | 1 | 1.00 | 1.17 | 0.78 | 0.78 | 1.06 | 0.00 | 0.78 | 0.72 |
time (sec) |
N/A | 0.029 | 0.004 | 0.157 | 0.280 | 0.368 | 0.000 | 0.462 | 13.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 31 | 20 | 22 | 25 | 0 | 22 | 21 |
N.S. | 1 | 1.00 | 1.07 | 0.69 | 0.76 | 0.86 | 0.00 | 0.76 | 0.72 |
time (sec) |
N/A | 0.032 | 0.004 | 0.152 | 0.273 | 0.382 | 0.000 | 0.458 | 13.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 27 | 20 | 22 | 21 | 362 | 22 | 19 |
N.S. | 1 | 1.00 | 0.93 | 0.69 | 0.76 | 0.72 | 12.48 | 0.76 | 0.66 |
time (sec) |
N/A | 0.031 | 0.004 | 0.086 | 0.274 | 0.425 | 32.983 | 0.409 | 14.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 19 | 14 | 14 | 13 | 144 | 14 | 16 |
N.S. | 1 | 1.00 | 1.06 | 0.78 | 0.78 | 0.72 | 8.00 | 0.78 | 0.89 |
time (sec) |
N/A | 0.030 | 0.003 | 0.088 | 0.282 | 0.378 | 15.193 | 0.441 | 0.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 7 | 6 | 6 | 19 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.17 | 1.00 | 1.00 | 3.17 | 1.00 | 1.00 |
time (sec) |
N/A | 0.026 | 0.002 | 0.158 | 0.270 | 0.379 | 6.596 | 0.431 | 0.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 7 | 7 | 37 | 8 | 21 | 20 | 22 | 23 | 7 |
N.S. | 1 | 1.00 | 5.29 | 1.14 | 3.00 | 2.86 | 3.14 | 3.29 | 1.00 |
time (sec) |
N/A | 0.025 | 0.004 | 0.158 | 0.272 | 0.380 | 2.318 | 0.430 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 45 | 36 | 41 | 37 | 117 | 38 | 30 |
N.S. | 1 | 1.00 | 2.05 | 1.64 | 1.86 | 1.68 | 5.32 | 1.73 | 1.36 |
time (sec) |
N/A | 0.021 | 0.006 | 0.126 | 0.292 | 0.388 | 0.245 | 0.452 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 61 | 52 | 57 | 46 | 0 | 47 | 31 |
N.S. | 1 | 1.00 | 1.74 | 1.49 | 1.63 | 1.31 | 0.00 | 1.34 | 0.89 |
time (sec) |
N/A | 0.030 | 0.008 | 0.161 | 0.286 | 0.390 | 0.000 | 0.447 | 13.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 26 | 35 | 43 | 23 | 549 | 31 | 29 |
N.S. | 1 | 1.00 | 0.79 | 1.06 | 1.30 | 0.70 | 16.64 | 0.94 | 0.88 |
time (sec) |
N/A | 0.034 | 0.004 | 0.101 | 0.536 | 0.388 | 23.245 | 0.454 | 13.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 23 | 25 | 12 | 178 | 22 | 13 |
N.S. | 1 | 1.00 | 0.90 | 1.15 | 1.25 | 0.60 | 8.90 | 1.10 | 0.65 |
time (sec) |
N/A | 0.029 | 0.003 | 0.092 | 0.519 | 0.376 | 10.241 | 0.448 | 13.926 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 5 | 8 | 5 | 5 | 3 | 5 | 5 |
N.S. | 1 | 1.00 | 1.00 | 1.60 | 1.00 | 1.00 | 0.60 | 1.00 | 1.00 |
time (sec) |
N/A | 0.025 | 0.000 | 0.176 | 0.494 | 0.367 | 4.115 | 0.435 | 13.943 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 7 | 6 | 10 | 20 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.17 | 1.00 | 1.67 | 3.33 | 1.00 | 1.00 |
time (sec) |
N/A | 0.029 | 0.003 | 0.159 | 0.304 | 0.367 | 1.657 | 0.459 | 13.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 31 | 20 | 22 | 25 | 0 | 22 | 21 |
N.S. | 1 | 1.00 | 1.07 | 0.69 | 0.76 | 0.86 | 0.00 | 0.76 | 0.72 |
time (sec) |
N/A | 0.032 | 0.004 | 0.174 | 0.282 | 0.432 | 0.000 | 0.436 | 13.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 41 | 24 | 28 | 31 | 0 | 28 | 33 |
N.S. | 1 | 1.00 | 1.11 | 0.65 | 0.76 | 0.84 | 0.00 | 0.76 | 0.89 |
time (sec) |
N/A | 0.032 | 0.005 | 0.215 | 0.319 | 0.401 | 0.000 | 0.426 | 13.837 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 87 | 112 | 131 | 78 | 354 | 87 | 119 |
N.S. | 1 | 1.00 | 0.80 | 1.03 | 1.20 | 0.72 | 3.25 | 0.80 | 1.09 |
time (sec) |
N/A | 0.044 | 0.218 | 0.479 | 0.532 | 0.400 | 0.918 | 0.525 | 15.222 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 64 | 92 | 104 | 63 | 250 | 67 | 91 |
N.S. | 1 | 1.00 | 0.77 | 1.11 | 1.25 | 0.76 | 3.01 | 0.81 | 1.10 |
time (sec) |
N/A | 0.034 | 0.115 | 0.384 | 0.523 | 0.386 | 0.423 | 0.458 | 14.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 46 | 70 | 74 | 47 | 150 | 41 | 67 |
N.S. | 1 | 1.00 | 0.81 | 1.23 | 1.30 | 0.82 | 2.63 | 0.72 | 1.18 |
time (sec) |
N/A | 0.028 | 0.065 | 0.246 | 0.524 | 0.388 | 0.179 | 0.479 | 13.655 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 33 | 32 | 31 | 29 | 51 | 26 | 27 |
N.S. | 1 | 1.00 | 1.10 | 1.07 | 1.03 | 0.97 | 1.70 | 0.87 | 0.90 |
time (sec) |
N/A | 0.011 | 0.025 | 0.109 | 0.293 | 0.387 | 0.073 | 0.452 | 13.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 36 | 30 | 33 | 35 | 0 | 49 | 26 |
N.S. | 1 | 1.00 | 2.00 | 1.67 | 1.83 | 1.94 | 0.00 | 2.72 | 1.44 |
time (sec) |
N/A | 0.021 | 0.014 | 0.266 | 0.504 | 0.389 | 0.000 | 0.450 | 13.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 41 | 46 | 29 | 38 | 0 | 38 | 31 |
N.S. | 1 | 1.00 | 1.37 | 1.53 | 0.97 | 1.27 | 0.00 | 1.27 | 1.03 |
time (sec) |
N/A | 0.020 | 0.060 | 0.282 | 0.279 | 0.385 | 0.000 | 0.448 | 14.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 64 | 76 | 46 | 59 | 0 | 64 | 45 |
N.S. |
1 | 1.00 | 1.28 | 1.52 | 0.92 | 1.18 | 0.00 | 1.28 | 0.90 |
time (sec) |
N/A | 0.029 | 0.140 | 0.306 | 0.284 | 0.386 | 0.000 | 0.480 | 13.895 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 86 | 104 | 64 | 77 | 0 | 88 | 59 |
N.S. |
1 | 1.00 | 1.19 | 1.44 | 0.89 | 1.07 | 0.00 | 1.22 | 0.82 |
time (sec) |
N/A | 0.036 | 0.233 | 0.291 | 0.288 | 0.373 | 0.000 | 0.507 | 13.844 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 96 | 167 | 178 | 114 | 481 | 108 | 160 |
N.S. | 1 | 1.00 | 0.62 | 1.07 | 1.14 | 0.73 | 3.08 | 0.69 | 1.03 |
time (sec) |
N/A | 0.088 | 0.243 | 0.504 | 0.494 | 0.399 | 0.955 | 0.509 | 15.490 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 79 | 134 | 134 | 85 | 314 | 84 | 120 |
N.S. | 1 | 1.00 | 0.68 | 1.16 | 1.16 | 0.73 | 2.71 | 0.72 | 1.03 |
time (sec) |
N/A | 0.093 | 0.205 | 0.352 | 0.494 | 0.398 | 0.438 | 0.463 | 14.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 58 | 78 | 73 | 63 | 168 | 60 | 77 |
N.S. | 1 | 1.00 | 0.81 | 1.08 | 1.01 | 0.88 | 2.33 | 0.83 | 1.07 |
time (sec) |
N/A | 0.014 | 0.095 | 0.227 | 0.292 | 0.397 | 0.184 | 0.415 | 14.487 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 48 | 87 | 81 | 68 | 0 | 99 | 74 |
N.S. | 1 | 1.00 | 0.94 | 1.71 | 1.59 | 1.33 | 0.00 | 1.94 | 1.45 |
time (sec) |
N/A | 0.060 | 0.235 | 0.382 | 0.521 | 0.417 | 0.000 | 0.493 | 14.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 57 | 76 | 56 | 70 | 0 | 80 | 46 |
N.S. |
1 | 1.00 | 1.27 | 1.69 | 1.24 | 1.56 | 0.00 | 1.78 | 1.02 |
time (sec) |
N/A | 0.039 | 0.272 | 0.395 | 0.482 | 0.416 | 0.000 | 0.489 | 13.759 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 67 | 101 | 58 | 83 | 0 | 86 | 44 |
N.S. |
1 | 1.00 | 1.26 | 1.91 | 1.09 | 1.57 | 0.00 | 1.62 | 0.83 |
time (sec) |
N/A | 0.038 | 0.264 | 0.342 | 0.272 | 0.402 | 0.000 | 0.486 | 15.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 92 | 149 | 85 | 108 | 0 | 127 | 72 |
N.S. |
1 | 1.00 | 1.15 | 1.86 | 1.06 | 1.35 | 0.00 | 1.59 | 0.90 |
time (sec) |
N/A | 0.051 | 0.355 | 0.368 | 0.278 | 0.433 | 0.000 | 0.481 | 15.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 107 | 195 | 108 | 128 | 0 | 168 | 94 |
N.S. |
1 | 1.00 | 1.01 | 1.84 | 1.02 | 1.21 | 0.00 | 1.58 | 0.89 |
time (sec) |
N/A | 0.061 | 0.340 | 0.377 | 0.277 | 0.415 | 0.000 | 0.498 | 14.218 |