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 | C | F | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 34 | 54 | 0 | 212 | 0 | 136 | -1 |
N.S. |
1 | 1.00 | 0.21 | 0.34 | 0.00 | 1.32 | 0.00 | 0.85 | -0.01 |
time (sec) |
N/A | 0.089 | 0.028 | 0.201 | 0.000 | 0.372 | 0.000 | 6.079 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 32 | 79 | 0 | 151 | 0 | 38 | -1 |
N.S. |
1 | 1.00 | 0.64 | 1.58 | 0.00 | 3.02 | 0.00 | 0.76 | -0.02 |
time (sec) |
N/A | 0.023 | 0.027 | 0.191 | 0.000 | 0.490 | 0.000 | 6.361 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 34 | 97 | 0 | 161 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.50 | 1.43 | 0.00 | 2.37 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.027 | 0.028 | 0.204 | 0.000 | 0.379 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 34 | 73 | 0 | 171 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.19 | 0.41 | 0.00 | 0.97 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 0.028 | 0.207 | 0.000 | 0.364 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 34 | 73 | 0 | 259 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.13 | 0.29 | 0.00 | 1.03 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.159 | 0.028 | 0.215 | 0.000 | 0.362 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 38 | 0 | 43 | 59 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 1.16 | 1.59 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.026 | 0.038 | 0.047 | 0.482 | 0.397 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 43 | 0 | 0 | 59 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.13 | 0.00 | 0.00 | 1.55 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.027 | 0.066 | 0.048 | 0.000 | 0.358 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 96 | 208 | 74 | 74 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 1.86 | 0.66 | 0.66 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.029 | 0.050 | 0.040 | 0.320 | 0.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 70 | 135 | 48 | 48 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.21 | 0.43 | 0.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.027 | 0.037 | 0.044 | 0.473 | 0.360 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 44 | 64 | 22 | 22 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.44 | 0.65 | 0.22 | 0.22 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.021 | 0.024 | 0.025 | 0.457 | 0.419 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 47 | 71 | 32 | 24 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.52 | 0.79 | 0.36 | 0.27 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.030 | 0.039 | 0.029 | 0.538 | 0.366 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 40 | 37 | 41 | 41 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 0.77 | 0.85 | 0.85 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.018 | 0.040 | 0.026 | 0.414 | 0.338 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 40 | 37 | 69 | 69 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.45 | 0.42 | 0.78 | 0.78 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.047 | 0.034 | 0.529 | 0.343 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 40 | 37 | 97 | 97 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.45 | 0.42 | 1.10 | 1.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.048 | 0.032 | 0.405 | 0.369 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 55 | 132 | 47 | 57 | 0 | 173 | -1 |
N.S. | 1 | 1.00 | 0.51 | 1.22 | 0.44 | 0.53 | 0.00 | 1.60 | -0.01 |
time (sec) |
N/A | 0.031 | 0.035 | 0.048 | 0.315 | 0.364 | 0.000 | 3.826 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 46 | 61 | 25 | 28 | 0 | 53 | -1 |
N.S. | 1 | 1.00 | 0.49 | 0.66 | 0.27 | 0.30 | 0.00 | 0.57 | -0.01 |
time (sec) |
N/A | 0.020 | 0.027 | 0.036 | 0.334 | 0.369 | 0.000 | 5.889 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 46 | 61 | 25 | 28 | 0 | 53 | -1 |
N.S. | 1 | 1.00 | 0.49 | 0.66 | 0.27 | 0.30 | 0.00 | 0.57 | -0.01 |
time (sec) |
N/A | 0.017 | 0.023 | 0.020 | 0.303 | 0.348 | 0.000 | 3.895 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 39 | 56 | 19 | 20 | 0 | 25 | -1 |
N.S. | 1 | 1.00 | 0.44 | 0.64 | 0.22 | 0.23 | 0.00 | 0.28 | -0.01 |
time (sec) |
N/A | 0.012 | 0.008 | 0.018 | 0.295 | 0.367 | 0.000 | 5.674 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 38 | 54 | 13 | 15 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.45 | 0.64 | 0.15 | 0.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.018 | 0.017 | 0.034 | 0.330 | 0.361 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 42 | 61 | 22 | 23 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.45 | 0.65 | 0.23 | 0.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.022 | 0.026 | 0.023 | 0.271 | 0.385 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 47 | 61 | 22 | 23 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.49 | 0.64 | 0.23 | 0.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.020 | 0.028 | 0.024 | 0.275 | 0.420 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 90 | 532 | 276 | 390 | 0 | 2719 | -1 |
N.S. | 1 | 1.00 | 0.38 | 2.24 | 1.16 | 1.64 | 0.00 | 11.42 | -0.00 |
time (sec) |
N/A | 0.070 | 0.091 | 0.049 | 0.297 | 0.392 | 0.000 | 5.529 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 123 | 146 | 108 | 144 | 0 | 292 | -1 |
N.S. | 1 | 1.00 | 0.58 | 0.69 | 0.51 | 0.68 | 0.00 | 1.38 | -0.00 |
time (sec) |
N/A | 0.045 | 0.070 | 0.036 | 0.311 | 0.351 | 0.000 | 4.617 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 124 | 145 | 109 | 145 | 0 | 292 | -1 |
N.S. | 1 | 1.00 | 0.59 | 0.69 | 0.52 | 0.69 | 0.00 | 1.38 | -0.00 |
time (sec) |
N/A | 0.041 | 0.058 | 0.023 | 0.284 | 0.357 | 0.000 | 2.966 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 122 | 138 | 101 | 130 | 0 | 263 | -1 |
N.S. | 1 | 1.00 | 0.59 | 0.67 | 0.49 | 0.63 | 0.00 | 1.28 | -0.00 |
time (sec) |
N/A | 0.035 | 0.072 | 0.021 | 0.316 | 0.406 | 0.000 | 7.472 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 67 | 127 | 43 | 44 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.65 | 0.22 | 0.22 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.040 | 0.021 | 0.286 | 0.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 124 | 147 | 101 | 131 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.58 | 0.69 | 0.48 | 0.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.048 | 0.079 | 0.023 | 0.323 | 0.370 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 124 | 145 | 101 | 134 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.57 | 0.67 | 0.46 | 0.61 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.050 | 0.082 | 0.025 | 0.298 | 0.376 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 62 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.027 | 0.035 | 0.011 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 53 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.019 | 0.029 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 53 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.015 | 0.019 | 0.009 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 44 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.012 | 0.017 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 45 | 66 | 27 | 22 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.53 | 0.78 | 0.32 | 0.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 0.031 | 0.021 | 0.280 | 0.400 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.017 | 0.027 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 53 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.017 | 0.026 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 61 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.025 | 0.035 | 0.009 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.018 | 0.034 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.015 | 0.023 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 46 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.011 | 0.019 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 79 | 104 | 70 | 106 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.50 | 0.65 | 0.44 | 0.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 0.075 | 0.023 | 0.286 | 0.344 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 53 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.020 | 0.030 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.019 | 0.030 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 58 | 0 | 0 | 79 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 1.52 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.014 | 0.048 | 0.030 | 0.000 | 0.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 32 | 51 | 0 | 45 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 1.19 | 0.00 | 1.05 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.009 | 0.054 | 0.074 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 80 | 0 | 0 | 103 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.119 | 0.030 | 0.000 | 0.375 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 59 | 0 | 0 | 82 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.58 | 0.00 | 0.00 | 0.80 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.029 | 0.051 | 0.028 | 0.000 | 0.371 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 124 | 75 | 0 | 0 | 165 | 0 | 0 | -1 |
N.S. |
1 | 1.06 | 0.64 | 0.00 | 0.00 | 1.41 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.044 | 0.074 | 0.026 | 0.000 | 0.406 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 54 | 148 | 59 | 78 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.52 | 1.44 | 0.57 | 0.76 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.042 | 0.048 | 0.083 | 0.303 | 0.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 97 | 973 | 0 | 353 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 8.77 | 0.00 | 3.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.084 | 0.216 | 0.111 | 0.000 | 0.386 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 82 | 664 | 0 | 285 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 7.63 | 0.00 | 3.28 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 0.147 | 0.086 | 0.000 | 0.388 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 66 | 402 | 0 | 231 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 5.91 | 0.00 | 3.40 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.091 | 0.070 | 0.000 | 0.362 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 43 | 113 | 0 | 159 | 0 | 39 | 39 |
N.S. |
1 | 1.00 | 1.10 | 2.90 | 0.00 | 4.08 | 0.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.023 | 0.055 | 0.060 | 0.000 | 0.353 | 0.000 | 4.308 | 1.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 90 | 658 | 0 | 333 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 6.71 | 0.00 | 3.40 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.087 | 0.196 | 0.143 | 0.000 | 0.377 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 115 | 958 | 0 | 429 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 7.60 | 0.00 | 3.40 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.117 | 0.345 | 0.119 | 0.000 | 0.393 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 147 | 1300 | 0 | 522 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 7.93 | 0.00 | 3.18 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.159 | 0.286 | 0.135 | 0.000 | 0.360 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 353 | 353 | 62 | 280 | 0 | 4426 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.18 | 0.79 | 0.00 | 12.54 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.345 | 0.134 | 0.488 | 0.000 | 0.625 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 610 | 610 | 62 | 260 | 0 | 4699 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.10 | 0.43 | 0.00 | 7.70 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.712 | 0.115 | 0.311 | 0.000 | 0.607 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 60 | 114 | 0 | 801 | 0 | 1035 | -1 |
N.S. |
1 | 1.00 | 0.36 | 0.67 | 0.00 | 4.74 | 0.00 | 6.12 | -0.01 |
time (sec) |
N/A | 0.127 | 0.111 | 0.148 | 0.000 | 0.363 | 0.000 | 6.500 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 105 | 268 | 0 | 1229 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.51 | 1.31 | 0.00 | 6.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.269 | 0.134 | 0.233 | 0.000 | 0.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 699 | 699 | 107 | 534 | 0 | 6279 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.15 | 0.76 | 0.00 | 8.98 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.928 | 0.141 | 0.495 | 0.000 | 1.740 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 414 | 414 | 105 | 630 | 0 | 5712 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.25 | 1.52 | 0.00 | 13.80 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.518 | 0.141 | 0.773 | 0.000 | 0.978 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 265 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.496 | 0.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 263 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.027 | 0.425 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 261 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.045 | 0.392 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 72 | 397 | 0 | 259 | 362 | 0 | 224 |
N.S. | 1 | 1.00 | 0.97 | 5.36 | 0.00 | 3.50 | 4.89 | 0.00 | 3.03 |
time (sec) |
N/A | 0.044 | 0.131 | 0.066 | 0.000 | 0.378 | 28.262 | 0.000 | 1.608 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 240 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.031 | 0.314 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 258 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.032 | 0.342 | 0.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 365 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.126 | 0.558 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 366 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.111 | 0.519 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 364 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.084 | 0.467 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 351 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.067 | 0.459 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 113 | 125 | 0 | 658 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 1.05 | 0.00 | 5.53 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 0.260 | 0.099 | 0.000 | 0.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 365 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.108 | 0.476 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 365 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.111 | 0.444 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 518 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.117 | 1.019 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 524 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.116 | 1.026 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 520 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 1.020 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 513 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.073 | 1.053 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 159 | 209 | 0 | 827 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 1.21 | 0.00 | 4.78 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.113 | 0.626 | 0.104 | 0.000 | 0.455 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 526 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.119 | 1.006 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 520 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.117 | 1.028 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 175 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.109 | 0.156 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 175 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.104 | 0.136 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 175 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.083 | 0.142 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 166 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.103 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 46 | 0 | 0 | 148 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 3.15 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.024 | 0.121 | 0.008 | 0.000 | 0.355 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 173 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.103 | 0.150 | 0.011 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 175 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.109 | 0.147 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 398 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.111 | 0.676 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 398 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.112 | 0.633 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 398 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.083 | 0.615 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 384 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.065 | 0.685 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 98 | 0 | 0 | 449 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 4.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.052 | 0.630 | 0.009 | 0.000 | 0.456 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 395 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.109 | 0.594 | 0.009 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 399 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.114 | 0.602 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 137 | 3798 | 273 | 2303 | 0 | 25656 | 1734 |
N.S. |
1 | 1.00 | 0.75 | 20.87 | 1.50 | 12.65 | 0.00 | 140.97 | 9.53 |
time (sec) |
N/A | 0.111 | 0.559 | 0.081 | 0.297 | 0.501 | 0.000 | 3.747 | 2.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 86 | 1065 | 152 | 706 | 12124 | 5454 | 543 |
N.S. | 1 | 1.00 | 0.74 | 9.10 | 1.30 | 6.03 | 103.62 | 46.62 | 4.64 |
time (sec) |
N/A | 0.051 | 0.162 | 0.050 | 0.300 | 0.374 | 142.979 | 3.701 | 1.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 41 | 205 | 65 | 142 | 1091 | 557 | 83 |
N.S. | 1 | 1.00 | 0.71 | 3.53 | 1.12 | 2.45 | 18.81 | 9.60 | 1.43 |
time (sec) |
N/A | 0.018 | 0.078 | 0.051 | 0.285 | 0.358 | 18.635 | 3.738 | 1.406 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 307 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.132 | 0.640 | 0.011 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 328 | 328 | 1890 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.680 | 4.361 | 0.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |