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 | F | B | F | F | B | B | F | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 88 | 0 | 0 | 72 | 117 | 0 | -1 |
N.S. | 1 | 0.00 | 3.38 | 0.00 | 0.00 | 2.77 | 4.50 | 0.00 | -0.04 |
time (sec) |
N/A | 37.347 | 0.124 | 0.233 | 0.000 | 0.396 | 4.524 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | F | A | F | A | A | F | B |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 62 | 0 | 29 | 0 | 28 | 22 | 0 | 24 |
N.S. | 1 | 2.14 | 0.00 | 1.00 | 0.00 | 0.97 | 0.76 | 0.00 | 0.83 |
time (sec) |
N/A | 0.041 | 0.694 | 0.562 | 0.000 | 0.406 | 0.950 | 0.000 | 5.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 25 | 470 | 33 | 32 | 29 | 0 | 23 |
N.S. | 1 | 0.00 | 0.96 | 18.08 | 1.27 | 1.23 | 1.12 | 0.00 | 0.88 |
time (sec) |
N/A | 1.301 | 0.175 | 0.301 | 0.336 | 0.413 | 45.428 | 0.000 | 5.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | C | A | A | A | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 24 | 37 | 44 | 36 | 22 | 36 | -1 |
N.S. | 1 | 0.00 | 0.86 | 1.32 | 1.57 | 1.29 | 0.79 | 1.29 | -0.04 |
time (sec) |
N/A | 1.210 | 0.311 | 0.369 | 0.556 | 0.345 | 0.095 | 0.504 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F(-1) | A | B | A | A | F(-1) | F(-1) | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 29 | 58 | 47 | 38 | 0 | 0 | 53 |
N.S. |
1 | 0.00 | 1.00 | 2.00 | 1.62 | 1.31 | 0.00 | 0.00 | 1.83 |
time (sec) |
N/A | 180.006 | 0.247 | 20.710 | 0.321 | 0.400 | 0.000 | 0.000 | 11.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 20 | 19 | 16 | 18 | 17 | 26 | 18 |
N.S. | 1 | 0.00 | 0.83 | 0.79 | 0.67 | 0.75 | 0.71 | 1.08 | 0.75 |
time (sec) |
N/A | 0.388 | 0.074 | 21.148 | 0.565 | 0.362 | 0.039 | 0.419 | 5.192 |
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 | 28 | 34 | 25 | 33 | 47 | 33 | 29 | 26 | 37 |
N.S. | 1 | 1.21 | 0.89 | 1.18 | 1.68 | 1.18 | 1.04 | 0.93 | 1.32 |
time (sec) |
N/A | 0.161 | 0.056 | 1.850 | 0.308 | 0.384 | 0.091 | 0.409 | 5.498 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | B | A | A | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 153 | 98 | 38 | 37 | 75 | 66 | -1 |
N.S. | 1 | 0.00 | 4.78 | 3.06 | 1.19 | 1.16 | 2.34 | 2.06 | -0.03 |
time (sec) |
N/A | 2.528 | 0.244 | 5.438 | 0.602 | 0.384 | 15.345 | 0.439 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 37 | 50 | 579 | 30 | 31 | 32 | 30 |
N.S. | 1 | 0.00 | 1.23 | 1.67 | 19.30 | 1.00 | 1.03 | 1.07 | 1.00 |
time (sec) |
N/A | 0.258 | 0.153 | 0.796 | 0.526 | 0.361 | 0.671 | 0.423 | 1.231 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | F | A | A | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 33 | 73 | 0 | 29 | 29 | 58 | -1 |
N.S. | 1 | 0.00 | 0.97 | 2.15 | 0.00 | 0.85 | 0.85 | 1.71 | -0.03 |
time (sec) |
N/A | 0.970 | 0.263 | 0.463 | 0.000 | 0.369 | 0.120 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 34 | 844 | 41 | 64 | 102 | 64 | 62 |
N.S. | 1 | 0.00 | 1.36 | 33.76 | 1.64 | 2.56 | 4.08 | 2.56 | 2.48 |
time (sec) |
N/A | 7.604 | 0.123 | 2.933 | 0.335 | 0.418 | 0.733 | 0.843 | 5.869 |
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 | 24 | 16 | 14 | 16 | 15 | 24 | 14 | 16 | 15 |
N.S. | 1 | 0.67 | 0.58 | 0.67 | 0.62 | 1.00 | 0.58 | 0.67 | 0.62 |
time (sec) |
N/A | 0.030 | 0.014 | 0.364 | 0.283 | 0.430 | 0.079 | 0.410 | 0.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 39 | 2336 | 1994 | 279 | 333 | 2318 | 367 |
N.S. | 1 | 0.00 | 1.39 | 83.43 | 71.21 | 9.96 | 11.89 | 82.79 | 13.11 |
time (sec) |
N/A | 36.266 | 0.452 | 4.270 | 0.566 | 0.413 | 0.692 | 0.943 | 8.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 58 | 56 | 308 | 45 | 43 | 51 | 45 | 29 |
N.S. | 1 | 2.07 | 2.00 | 11.00 | 1.61 | 1.54 | 1.82 | 1.61 | 1.04 |
time (sec) |
N/A | 0.110 | 0.021 | 0.380 | 0.281 | 0.359 | 0.098 | 0.412 | 0.160 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 24 | 25 | 46 | 24 | 19 | 0 | 24 |
N.S. | 1 | 0.00 | 1.00 | 1.04 | 1.92 | 1.00 | 0.79 | 0.00 | 1.00 |
time (sec) |
N/A | 0.879 | 0.096 | 0.608 | 0.291 | 0.382 | 0.084 | 0.000 | 6.064 |
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 | 17 | 16 | 20 | 15 | 14 | 14 | 14 | 14 | 14 |
N.S. | 1 | 0.94 | 1.18 | 0.88 | 0.82 | 0.82 | 0.82 | 0.82 | 0.82 |
time (sec) |
N/A | 0.217 | 0.052 | 2.102 | 0.307 | 0.365 | 0.066 | 0.416 | 4.782 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 27 | 26 | 118 | 0 | 20 | 51 | 20 | 21 |
N.S. | 1 | 1.17 | 1.13 | 5.13 | 0.00 | 0.87 | 2.22 | 0.87 | 0.91 |
time (sec) |
N/A | 0.082 | 0.025 | 1.010 | 0.000 | 0.376 | 0.778 | 0.428 | 4.887 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 0 | 61 | 69 | 83 | 83 | 75 | 85 | 76 |
N.S. | 1 | 0.00 | 1.69 | 1.92 | 2.31 | 2.31 | 2.08 | 2.36 | 2.11 |
time (sec) |
N/A | 13.862 | 10.232 | 0.187 | 0.406 | 0.368 | 0.310 | 0.485 | 5.414 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 29 | 30 | 36 | 29 | 19 | 38 | 30 |
N.S. | 1 | 0.00 | 1.04 | 1.07 | 1.29 | 1.04 | 0.68 | 1.36 | 1.07 |
time (sec) |
N/A | 1.715 | 2.348 | 0.852 | 0.334 | 0.355 | 0.088 | 0.413 | 0.190 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | A | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 30 | 183 | 67 | 67 | 32 | 128 | -1 |
N.S. | 1 | 0.00 | 1.43 | 8.71 | 3.19 | 3.19 | 1.52 | 6.10 | -0.05 |
time (sec) |
N/A | 0.971 | 0.045 | 4.348 | 0.571 | 0.383 | 0.104 | 0.460 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 123 | 42 | 102 | 67 | 39 | 29 | 52 | 48 |
N.S. | 1 | 4.92 | 1.68 | 4.08 | 2.68 | 1.56 | 1.16 | 2.08 | 1.92 |
time (sec) |
N/A | 0.368 | 0.153 | 0.882 | 0.568 | 0.389 | 0.249 | 0.400 | 5.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 38 | 212 | 35 | 33 | 32 | 31 | 36 | 2500 |
N.S. | 1 | 1.46 | 8.15 | 1.35 | 1.27 | 1.23 | 1.19 | 1.38 | 96.15 |
time (sec) |
N/A | 0.095 | 0.196 | 0.279 | 0.340 | 0.382 | 6.203 | 0.433 | 31.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 34 | 35 | 56 | 59 | 35 | 27 | 36 | 30 |
N.S. | 1 | 0.94 | 0.97 | 1.56 | 1.64 | 0.97 | 0.75 | 1.00 | 0.83 |
time (sec) |
N/A | 0.087 | 0.082 | 0.306 | 0.296 | 0.356 | 0.066 | 0.421 | 5.020 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 26 | 23 | 23 | 18 | 22 | 22 | 17 |
N.S. | 1 | 0.00 | 1.04 | 0.92 | 0.92 | 0.72 | 0.88 | 0.88 | 0.68 |
time (sec) |
N/A | 0.306 | 0.136 | 1.975 | 0.538 | 0.393 | 0.110 | 0.438 | 5.803 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 35 | 72 | 20 | 18 | 12 | 18 | 38 |
N.S. | 1 | 0.00 | 1.46 | 3.00 | 0.83 | 0.75 | 0.50 | 0.75 | 1.58 |
time (sec) |
N/A | 6.919 | 1.345 | 0.303 | 0.351 | 0.432 | 0.080 | 0.463 | 5.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | C | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 15 | 15 | 12 | 15 | 11 | 10 | 11 | 11 |
N.S. | 1 | 0.56 | 0.56 | 0.44 | 0.56 | 0.41 | 0.37 | 0.41 | 0.41 |
time (sec) |
N/A | 0.045 | 0.010 | 0.977 | 0.303 | 0.354 | 0.030 | 0.424 | 4.614 |
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 | 18 | 20 | 20 | 19 | 18 | 20 | 15 | 18 | 18 |
N.S. | 1 | 1.11 | 1.11 | 1.06 | 1.00 | 1.11 | 0.83 | 1.00 | 1.00 |
time (sec) |
N/A | 0.053 | 0.025 | 0.152 | 0.310 | 0.371 | 0.050 | 0.412 | 0.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | F | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 36 | 14 | 35 | 0 | 13 | 10 | 37 | 13 |
N.S. | 1 | 2.57 | 1.00 | 2.50 | 0.00 | 0.93 | 0.71 | 2.64 | 0.93 |
time (sec) |
N/A | 0.143 | 0.046 | 3.520 | 0.000 | 0.340 | 0.058 | 0.424 | 5.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | A | B | B | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 59 | 51 | 56 | 55 | 49 | 54 | -1 |
N.S. | 1 | 0.00 | 2.27 | 1.96 | 2.15 | 2.12 | 1.88 | 2.08 | -0.04 |
time (sec) |
N/A | 2.855 | 10.182 | 0.395 | 0.350 | 0.372 | 0.789 | 1.476 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 28 | 21 | 24 | 23 | 23 | 20 | 25 | 20 |
N.S. | 1 | 1.33 | 1.00 | 1.14 | 1.10 | 1.10 | 0.95 | 1.19 | 0.95 |
time (sec) |
N/A | 2.104 | 0.142 | 0.455 | 0.307 | 0.360 | 0.851 | 0.428 | 4.939 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 18 | 18 | 16 | 16 | 15 | 30 | 16 |
N.S. | 1 | 0.00 | 0.86 | 0.86 | 0.76 | 0.76 | 0.71 | 1.43 | 0.76 |
time (sec) |
N/A | 0.270 | 0.072 | 0.285 | 0.308 | 0.375 | 0.129 | 0.428 | 4.746 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 46 | 16 | 25 | 41 | 21 | 24 | 21 | 12 |
N.S. | 1 | 2.88 | 1.00 | 1.56 | 2.56 | 1.31 | 1.50 | 1.31 | 0.75 |
time (sec) |
N/A | 0.047 | 0.117 | 0.053 | 0.281 | 0.343 | 0.048 | 0.424 | 0.095 |
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 | 15 | 14 | 14 | 15 | 14 | 11 | 15 | 14 | 14 |
N.S. | 1 | 0.93 | 0.93 | 1.00 | 0.93 | 0.73 | 1.00 | 0.93 | 0.93 |
time (sec) |
N/A | 0.080 | 0.016 | 0.293 | 0.310 | 0.352 | 0.120 | 0.413 | 4.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 109 | 114 | 323 | 136 | 136 | 246 | 218 |
N.S. | 1 | 0.00 | 3.41 | 3.56 | 10.09 | 4.25 | 4.25 | 7.69 | 6.81 |
time (sec) |
N/A | 0.683 | 1.309 | 0.709 | 0.586 | 0.375 | 0.410 | 0.480 | 5.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | F(-2) | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 30 | 34 | 33 | 33 | 0 | 41 | 41 |
N.S. |
1 | 0.00 | 1.36 | 1.55 | 1.50 | 1.50 | 0.00 | 1.86 | 1.86 |
time (sec) |
N/A | 1.224 | 0.184 | 54.403 | 0.332 | 0.363 | 0.000 | 0.433 | 4.955 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 45 | 38 | 42 | 45 | 32 | 44 | 39 | 24 |
N.S. | 1 | 1.55 | 1.31 | 1.45 | 1.55 | 1.10 | 1.52 | 1.34 | 0.83 |
time (sec) |
N/A | 0.045 | 0.239 | 0.776 | 0.312 | 0.375 | 0.067 | 0.412 | 4.694 |
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 | 14 | 14 | 14 | 17 | 25 | 16 | 14 | 16 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.21 | 1.79 | 1.14 | 1.00 | 1.14 | 1.00 |
time (sec) |
N/A | 1.136 | 0.237 | 0.670 | 0.312 | 0.352 | 0.054 | 0.430 | 6.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | B | F(-1) | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 51 | 50 | 60 | 60 | 53 | 0 | 61 |
N.S. |
1 | 0.00 | 1.89 | 1.85 | 2.22 | 2.22 | 1.96 | 0.00 | 2.26 |
time (sec) |
N/A | 2.684 | 10.073 | 0.435 | 0.319 | 0.374 | 0.169 | 0.000 | 0.644 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 17 | 15 | 261 | 0 | 18 | 15 | 33 | -1 |
N.S. | 1 | 0.94 | 0.83 | 14.50 | 0.00 | 1.00 | 0.83 | 1.83 | -0.06 |
time (sec) |
N/A | 0.236 | 0.011 | 3.210 | 0.000 | 0.383 | 15.076 | 0.483 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 69 | 33 | 26 | 25 | 25 | 26 | 0 | 25 |
N.S. | 1 | 3.00 | 1.43 | 1.13 | 1.09 | 1.09 | 1.13 | 0.00 | 1.09 |
time (sec) |
N/A | 0.122 | 0.806 | 1.524 | 0.353 | 0.376 | 0.105 | 0.000 | 5.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 26 | 26 | 27 | 34 | 22 | 27 | 26 | 16 |
N.S. | 1 | 1.44 | 1.44 | 1.50 | 1.89 | 1.22 | 1.50 | 1.44 | 0.89 |
time (sec) |
N/A | 0.031 | 0.008 | 0.138 | 0.280 | 0.377 | 0.067 | 0.430 | 5.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | B | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 19 | 22 | 20 | 20 | 27 | 21 | 31 |
N.S. | 1 | 0.00 | 1.00 | 1.16 | 1.05 | 1.05 | 1.42 | 1.11 | 1.63 |
time (sec) |
N/A | 1.520 | 1.372 | 0.098 | 0.396 | 0.381 | 0.109 | 0.444 | 0.149 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 213 | 31 | 166 | 269 | 51 | 46 | 56 | 53 |
N.S. | 1 | 5.76 | 0.84 | 4.49 | 7.27 | 1.38 | 1.24 | 1.51 | 1.43 |
time (sec) |
N/A | 0.769 | 0.266 | 0.915 | 0.716 | 0.374 | 0.132 | 0.525 | 3.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | B | B | B | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 52 | 47 | 53 | 43 | 51 | 46 | -1 |
N.S. | 1 | 0.00 | 2.17 | 1.96 | 2.21 | 1.79 | 2.12 | 1.92 | -0.04 |
time (sec) |
N/A | 1.601 | 0.095 | 1.411 | 0.546 | 0.400 | 0.180 | 0.498 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 544 | 22 | 76 | 19 | 19 | 15 | 19 | 18 |
N.S. | 1 | 22.67 | 0.92 | 3.17 | 0.79 | 0.79 | 0.62 | 0.79 | 0.75 |
time (sec) |
N/A | 0.918 | 0.153 | 0.343 | 0.307 | 0.373 | 0.042 | 0.466 | 5.140 |
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 | 22 | 21 | 22 | 30 | 26 | 25 | 24 | 26 | 19 |
N.S. | 1 | 0.95 | 1.00 | 1.36 | 1.18 | 1.14 | 1.09 | 1.18 | 0.86 |
time (sec) |
N/A | 0.023 | 0.015 | 0.463 | 0.347 | 0.387 | 0.056 | 0.469 | 5.769 |
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 | 14 | 17 | 17 | 18 | 17 | 19 | 17 | 16 | 19 |
N.S. | 1 | 1.21 | 1.21 | 1.29 | 1.21 | 1.36 | 1.21 | 1.14 | 1.36 |
time (sec) |
N/A | 0.033 | 0.014 | 0.064 | 0.273 | 0.383 | 0.048 | 0.477 | 5.305 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | F | B | B | B | B | B | B |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 56 | 0 | 56 | 57 | 52 | 54 | 57 | 65 |
N.S. | 1 | 3.29 | 0.00 | 3.29 | 3.35 | 3.06 | 3.18 | 3.35 | 3.82 |
time (sec) |
N/A | 1.089 | 1.469 | 0.375 | 0.639 | 0.399 | 0.105 | 0.476 | 4.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | B | B | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 53 | 84 | 57 | 61 | 63 | 85 | -1 |
N.S. | 1 | 0.00 | 1.96 | 3.11 | 2.11 | 2.26 | 2.33 | 3.15 | -0.04 |
time (sec) |
N/A | 46.660 | 0.093 | 2.216 | 0.581 | 0.361 | 0.487 | 0.960 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | A | A | B | F(-1) | A | B |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 0 | 58 | 55 | 77 | 0 | 57 | 57 |
N.S. |
1 | 0.00 | 0.00 | 1.81 | 1.72 | 2.41 | 0.00 | 1.78 | 1.78 |
time (sec) |
N/A | 68.799 | 7.854 | 0.451 | 0.689 | 0.366 | 0.000 | 0.518 | 37.182 |
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 | 22 | 30 | 32 | 29 | 30 | 28 | 29 | 30 | 30 |
N.S. | 1 | 1.36 | 1.45 | 1.32 | 1.36 | 1.27 | 1.32 | 1.36 | 1.36 |
time (sec) |
N/A | 0.009 | 0.008 | 0.265 | 0.274 | 0.365 | 0.088 | 0.485 | 4.836 |
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 | 25 | 27 | 28 | 29 | 28 | 27 | 24 | 28 | 27 |
N.S. | 1 | 1.08 | 1.12 | 1.16 | 1.12 | 1.08 | 0.96 | 1.12 | 1.08 |
time (sec) |
N/A | 0.040 | 0.014 | 0.383 | 0.279 | 0.349 | 0.194 | 0.459 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 38 | 20 | 96 | 34 | 0 | 22 |
N.S. | 1 | 1.00 | 1.00 | 1.81 | 0.95 | 4.57 | 1.62 | 0.00 | 1.05 |
time (sec) |
N/A | 0.988 | 0.365 | 2.320 | 0.299 | 0.368 | 0.701 | 0.000 | 6.285 |
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 | 18 | 9 | 9 | 10 | 9 | 9 | 7 | 9 | 8 |
N.S. | 1 | 0.50 | 0.50 | 0.56 | 0.50 | 0.50 | 0.39 | 0.50 | 0.44 |
time (sec) |
N/A | 0.001 | 0.000 | 0.246 | 0.268 | 0.366 | 0.005 | 0.476 | 0.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 25 | 24 | 28 | 25 | 20 | 0 | 28 |
N.S. | 1 | 0.00 | 0.96 | 0.92 | 1.08 | 0.96 | 0.77 | 0.00 | 1.08 |
time (sec) |
N/A | 3.341 | 0.092 | 2.003 | 0.576 | 0.354 | 0.551 | 0.000 | 8.631 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 40 | 32 | 280 | 106 | 65 | 131 | 46 | 75 |
N.S. | 1 | 1.43 | 1.14 | 10.00 | 3.79 | 2.32 | 4.68 | 1.64 | 2.68 |
time (sec) |
N/A | 0.029 | 0.016 | 0.543 | 0.270 | 0.381 | 0.724 | 0.567 | 5.001 |
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 | 24 | 23 | 23 | 24 | 21 | 21 | 20 | 21 | 19 |
N.S. | 1 | 0.96 | 0.96 | 1.00 | 0.88 | 0.88 | 0.83 | 0.88 | 0.79 |
time (sec) |
N/A | 0.002 | 0.002 | 0.331 | 0.280 | 0.344 | 0.009 | 0.471 | 0.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 23 | 2102 | 23 | 23 | 19 | 26 | 23 |
N.S. | 1 | 0.00 | 1.00 | 91.39 | 1.00 | 1.00 | 0.83 | 1.13 | 1.00 |
time (sec) |
N/A | 1.578 | 0.139 | 3.497 | 0.526 | 0.375 | 1.068 | 0.609 | 5.647 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 33 | 30 | 33 | 38 | 20 | 40 | 26 |
N.S. | 1 | 0.00 | 1.10 | 1.00 | 1.10 | 1.27 | 0.67 | 1.33 | 0.87 |
time (sec) |
N/A | 4.303 | 0.241 | 0.164 | 0.387 | 0.358 | 0.072 | 0.430 | 4.949 |
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 | 7 | 7 | 7 | 7 | 6 | 6 | 5 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.86 | 0.86 | 0.71 | 0.86 | 0.86 |
time (sec) |
N/A | 0.001 | 0.003 | 1.660 | 0.288 | 0.352 | 0.035 | 0.451 | 5.534 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 47 | 50 | 49 | 49 | 31 | 49 | -1 |
N.S. | 1 | 0.00 | 1.62 | 1.72 | 1.69 | 1.69 | 1.07 | 1.69 | -0.03 |
time (sec) |
N/A | 2.135 | 0.063 | 1.483 | 0.332 | 0.366 | 0.258 | 0.534 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 24 | 34 | 36 | 36 | 31 | 44 | 28 |
N.S. | 1 | 0.00 | 0.86 | 1.21 | 1.29 | 1.29 | 1.11 | 1.57 | 1.00 |
time (sec) |
N/A | 2.687 | 0.142 | 1.450 | 0.543 | 0.399 | 0.068 | 0.415 | 0.259 |
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 | 22 | 24 | 12 | 29 | 17 | 13 | 17 | 13 | 17 |
N.S. | 1 | 1.09 | 0.55 | 1.32 | 0.77 | 0.59 | 0.77 | 0.59 | 0.77 |
time (sec) |
N/A | 0.019 | 0.049 | 0.146 | 0.270 | 0.366 | 0.036 | 0.409 | 4.789 |
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 | 15 | 12 | 16 | 9 | 7 | 9 | 12 | 7 | 8 |
N.S. | 1 | 0.80 | 1.07 | 0.60 | 0.47 | 0.60 | 0.80 | 0.47 | 0.53 |
time (sec) |
N/A | 0.002 | 0.000 | 0.129 | 0.291 | 0.376 | 0.004 | 0.561 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 30 | 36 | 35 | 33 | 34 | 36 | 21 |
N.S. | 1 | 0.00 | 1.43 | 1.71 | 1.67 | 1.57 | 1.62 | 1.71 | 1.00 |
time (sec) |
N/A | 0.437 | 0.146 | 60.366 | 0.317 | 0.377 | 0.184 | 0.424 | 5.331 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | B | A | A | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 40 | 51 | 38 | 44 | 41 | 131 | 97 |
N.S. | 1 | 0.00 | 1.67 | 2.12 | 1.58 | 1.83 | 1.71 | 5.46 | 4.04 |
time (sec) |
N/A | 3.920 | 0.180 | 0.176 | 0.495 | 0.379 | 0.327 | 0.556 | 5.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | B | B | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 28 | 35 | 305 | 46 | 41 | 126 | 130 |
N.S. | 1 | 0.00 | 1.56 | 1.94 | 16.94 | 2.56 | 2.28 | 7.00 | 7.22 |
time (sec) |
N/A | 4.439 | 0.101 | 0.510 | 0.659 | 0.388 | 0.091 | 0.590 | 7.716 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 0 | 27 | 19 | 25 | 24 | 20 | 18 | 18 |
N.S. | 1 | 0.00 | 1.69 | 1.19 | 1.56 | 1.50 | 1.25 | 1.12 | 1.12 |
time (sec) |
N/A | 0.489 | 0.384 | 0.153 | 0.332 | 0.399 | 0.109 | 0.420 | 0.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | B | B | F | B | B | B | F |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 104 | 230 | 0 | 172 | 231 | 717 | -1 |
N.S. | 1 | 0.00 | 3.85 | 8.52 | 0.00 | 6.37 | 8.56 | 26.56 | -0.04 |
time (sec) |
N/A | 3.241 | 0.244 | 0.450 | 0.000 | 0.387 | 0.388 | 0.468 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | A | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 28 | 35 | 83 | 34 | 32 | 0 | 87 |
N.S. | 1 | 0.00 | 0.90 | 1.13 | 2.68 | 1.10 | 1.03 | 0.00 | 2.81 |
time (sec) |
N/A | 7.797 | 0.193 | 0.687 | 0.521 | 0.420 | 0.283 | 0.000 | 7.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | B | B | F | B | B | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 69 | 65 | 56 | 0 | 61 | 70 | 61 | -1 |
N.S. | 1 | 2.76 | 2.60 | 2.24 | 0.00 | 2.44 | 2.80 | 2.44 | -0.04 |
time (sec) |
N/A | 0.210 | 0.102 | 0.266 | 0.000 | 0.399 | 0.217 | 0.460 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 53 | 22 | 28 | 57 | 27 | 32 | 27 | 24 |
N.S. | 1 | 2.41 | 1.00 | 1.27 | 2.59 | 1.23 | 1.45 | 1.23 | 1.09 |
time (sec) |
N/A | 0.481 | 5.627 | 0.319 | 0.352 | 0.407 | 0.064 | 0.440 | 0.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 79 | 24 | 18 | 0 | 20 | 0 | 0 | 18 |
N.S. |
1 | 3.04 | 0.92 | 0.69 | 0.00 | 0.77 | 0.00 | 0.00 | 0.69 |
time (sec) |
N/A | 0.137 | 0.094 | 1.133 | 0.000 | 0.428 | 0.000 | 0.000 | 5.180 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | C | A | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 28 | 47 | 70 | 41 | 19 | 86 | 25 |
N.S. | 1 | 0.00 | 0.88 | 1.47 | 2.19 | 1.28 | 0.59 | 2.69 | 0.78 |
time (sec) |
N/A | 0.162 | 0.382 | 6.783 | 0.538 | 0.382 | 0.055 | 0.453 | 5.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 121 | 85 | 115 | 104 | 104 | 112 | 104 | 114 |
N.S. | 1 | 5.26 | 3.70 | 5.00 | 4.52 | 4.52 | 4.87 | 4.52 | 4.96 |
time (sec) |
N/A | 0.350 | 0.106 | 0.417 | 0.499 | 0.402 | 0.071 | 0.413 | 0.359 |
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 | 27 | 40 | 36 | 34 | 34 | 32 | 29 | 33 | 34 |
N.S. | 1 | 1.48 | 1.33 | 1.26 | 1.26 | 1.19 | 1.07 | 1.22 | 1.26 |
time (sec) |
N/A | 0.019 | 0.012 | 0.468 | 0.304 | 0.369 | 0.054 | 0.410 | 5.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | A | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 36 | 45 | 43 | 21 | 32 | 43 | 36 |
N.S. | 1 | 0.00 | 1.50 | 1.88 | 1.79 | 0.88 | 1.33 | 1.79 | 1.50 |
time (sec) |
N/A | 0.586 | 0.120 | 2.601 | 0.540 | 0.374 | 0.176 | 0.427 | 8.403 |
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 | 23 | 29 | 28 | 24 | 23 | 23 | 24 | 24 | 22 |
N.S. | 1 | 1.26 | 1.22 | 1.04 | 1.00 | 1.00 | 1.04 | 1.04 | 0.96 |
time (sec) |
N/A | 0.069 | 0.027 | 0.391 | 0.334 | 0.366 | 0.130 | 0.419 | 5.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | A | F | B | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 83 | 34 | 0 | 49 | 32 | 0 | 25 |
N.S. | 1 | 0.00 | 3.19 | 1.31 | 0.00 | 1.88 | 1.23 | 0.00 | 0.96 |
time (sec) |
N/A | 1.610 | 0.644 | 0.530 | 0.000 | 0.374 | 0.171 | 0.000 | 5.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | A | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 28 | 28 | 110 | 25 | 26 | 49 | 25 |
N.S. | 1 | 0.00 | 1.22 | 1.22 | 4.78 | 1.09 | 1.13 | 2.13 | 1.09 |
time (sec) |
N/A | 1.375 | 0.070 | 5.329 | 0.527 | 0.378 | 0.147 | 0.498 | 15.734 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | C | B | C | B | A | A | B | B |
verified |
N/A | NO | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 13828 | 55 | 220 | 49 | 46 | 49 | 48 | 48 |
N.S. | 1 | 601.22 | 2.39 | 9.57 | 2.13 | 2.00 | 2.13 | 2.09 | 2.09 |
time (sec) |
N/A | 104.205 | 0.048 | 1.246 | 0.296 | 0.366 | 1.739 | 0.413 | 0.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 54 | 16 | 15 | 14 | 14 | 14 | 0 | 14 |
N.S. | 1 | 3.38 | 1.00 | 0.94 | 0.88 | 0.88 | 0.88 | 0.00 | 0.88 |
time (sec) |
N/A | 0.024 | 0.024 | 0.099 | 0.316 | 0.374 | 1.985 | 0.000 | 5.519 |
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 | 10 | 17 | 10 | 18 | 17 | 10 | 7 | 10 | 10 |
N.S. | 1 | 1.70 | 1.00 | 1.80 | 1.70 | 1.00 | 0.70 | 1.00 | 1.00 |
time (sec) |
N/A | 0.147 | 0.022 | 1.754 | 0.304 | 0.372 | 0.041 | 0.415 | 5.844 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | B | A | B | B | B | B |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 0 | 60 | 43 | 51 | 46 | 149 | 120 |
N.S. | 1 | 0.00 | 0.00 | 2.22 | 1.59 | 1.89 | 1.70 | 5.52 | 4.44 |
time (sec) |
N/A | 51.569 | 5.812 | 2.187 | 0.802 | 0.381 | 0.935 | 0.635 | 6.650 |
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 | 21 | 8 | 8 | 9 | 8 | 8 | 5 | 9 | 8 |
N.S. | 1 | 0.38 | 0.38 | 0.43 | 0.38 | 0.38 | 0.24 | 0.43 | 0.38 |
time (sec) |
N/A | 0.002 | 0.001 | 0.007 | 0.273 | 0.359 | 0.017 | 0.421 | 0.021 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | B | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 122 | 70 | 59 | 117 | 46 | 53 | 122 | 49 |
N.S. | 1 | 4.88 | 2.80 | 2.36 | 4.68 | 1.84 | 2.12 | 4.88 | 1.96 |
time (sec) |
N/A | 0.092 | 0.039 | 0.413 | 0.282 | 0.375 | 0.090 | 0.404 | 5.092 |
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 | 21 | 16 | 16 | 16 | 15 | 15 | 14 | 15 | 13 |
N.S. | 1 | 0.76 | 0.76 | 0.76 | 0.71 | 0.71 | 0.67 | 0.71 | 0.62 |
time (sec) |
N/A | 0.127 | 0.418 | 0.936 | 0.304 | 0.397 | 0.061 | 0.423 | 0.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F(-1) | A | C | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 28 | 260 | 27 | 25 | 22 | 25 | 24 |
N.S. |
1 | 0.00 | 1.00 | 9.29 | 0.96 | 0.89 | 0.79 | 0.89 | 0.86 |
time (sec) |
N/A | 180.000 | 0.277 | 0.413 | 0.405 | 0.372 | 1.055 | 0.528 | 5.618 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | B | B | A | B | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 24 | 24 | 74 | 74 | 37 | 78 | 191 |
N.S. | 1 | 0.00 | 0.96 | 0.96 | 2.96 | 2.96 | 1.48 | 3.12 | 7.64 |
time (sec) |
N/A | 3.881 | 0.277 | 0.296 | 0.440 | 0.411 | 0.188 | 0.572 | 6.031 |
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 | 20 | 14 | 14 | 16 | 14 | 15 | 15 | 16 | 14 |
N.S. | 1 | 0.70 | 0.70 | 0.80 | 0.70 | 0.75 | 0.75 | 0.80 | 0.70 |
time (sec) |
N/A | 0.008 | 0.009 | 0.350 | 0.286 | 0.408 | 0.032 | 0.419 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 23 | 37 | 36 | 36 | 15 | 22 | 28 |
N.S. | 1 | 0.00 | 1.00 | 1.61 | 1.57 | 1.57 | 0.65 | 0.96 | 1.22 |
time (sec) |
N/A | 0.346 | 0.080 | 1.441 | 0.318 | 0.415 | 0.043 | 0.442 | 5.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 93 | 26 | 25 | 52 | 24 | 24 | 0 | 25 |
N.S. | 1 | 3.00 | 0.84 | 0.81 | 1.68 | 0.77 | 0.77 | 0.00 | 0.81 |
time (sec) |
N/A | 1.208 | 0.065 | 0.625 | 0.600 | 0.374 | 10.115 | 0.000 | 8.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 27 | 27 | 50 | 46 | 27 | 20 | 31 | 30 |
N.S. | 1 | 1.12 | 1.12 | 2.08 | 1.92 | 1.12 | 0.83 | 1.29 | 1.25 |
time (sec) |
N/A | 0.083 | 0.226 | 0.999 | 0.301 | 0.412 | 0.050 | 0.428 | 5.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | F | A | A | F | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 19 | 16 | 0 | 27 | 19 | 0 | 22 |
N.S. | 1 | 0.00 | 1.00 | 0.84 | 0.00 | 1.42 | 1.00 | 0.00 | 1.16 |
time (sec) |
N/A | 0.623 | 0.115 | 0.074 | 0.000 | 0.408 | 0.103 | 0.000 | 6.515 |
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 | 15 | 24 | 20 | 29 | 20 | 20 | 19 | 20 | 19 |
N.S. | 1 | 1.60 | 1.33 | 1.93 | 1.33 | 1.33 | 1.27 | 1.33 | 1.27 |
time (sec) |
N/A | 0.003 | 0.005 | 0.362 | 0.300 | 0.359 | 0.011 | 0.413 | 0.305 |
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 | 7 | 13 | 5 | 5 | 9 | 4 | 3 | 4 | 4 |
N.S. | 1 | 1.86 | 0.71 | 0.71 | 1.29 | 0.57 | 0.43 | 0.57 | 0.57 |
time (sec) |
N/A | 0.006 | 0.004 | 0.143 | 0.351 | 0.391 | 0.027 | 0.415 | 0.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | F | A | A | A | A | A | F |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 40 | 54 | 38 | 36 | 38 | -1 |
N.S. | 1 | 0.00 | 0.00 | 1.29 | 1.74 | 1.23 | 1.16 | 1.23 | -0.03 |
time (sec) |
N/A | 2.464 | 0.405 | 0.933 | 0.311 | 0.410 | 0.144 | 0.463 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F(-1) | B | B | B | B | B | F(-2) | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 110 | 260 | 217 | 195 | 201 | 0 | 1346 |
N.S. |
1 | 0.00 | 4.07 | 9.63 | 8.04 | 7.22 | 7.44 | 0.00 | 49.85 |
time (sec) |
N/A | 180.002 | 8.840 | 1.423 | 2.253 | 0.436 | 40.490 | 0.000 | 8.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | C | A | A | B | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 24 | 187 | 26 | 24 | 41 | 23 | 21 |
N.S. | 1 | 0.00 | 0.83 | 6.45 | 0.90 | 0.83 | 1.41 | 0.79 | 0.72 |
time (sec) |
N/A | 0.504 | 0.059 | 9.867 | 0.540 | 0.387 | 0.739 | 0.588 | 5.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | C | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 18 | 18 | 0 | 25 | 18 | 14 | 284 | 18 |
N.S. | 1 | 0.82 | 0.82 | 0.00 | 1.14 | 0.82 | 0.64 | 12.91 | 0.82 |
time (sec) |
N/A | 0.111 | 0.025 | 7.118 | 0.558 | 0.383 | 0.077 | 0.510 | 5.550 |