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 | A | A | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 34 | 122 | 41 | 0 | 0 | 46 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 3.59 | 1.21 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 0.044 | 0.064 | 0.337 | 0.560 | 0.353 | 0.000 | 0.000 | 5.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 46 | 44 | 189 | 63 | 0 | 0 | 77 |
N.S. |
1 | 1.00 | 0.61 | 0.58 | 2.49 | 0.83 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.098 | 0.109 | 0.142 | 0.541 | 0.328 | 0.000 | 0.000 | 6.007 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 56 | 54 | 258 | 77 | 0 | 0 | 120 |
N.S. |
1 | 1.00 | 0.49 | 0.47 | 2.24 | 0.67 | 0.00 | 0.00 | 1.04 |
time (sec) |
N/A | 0.144 | 0.107 | 0.154 | 0.566 | 0.325 | 0.000 | 0.000 | 6.680 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 66 | 70 | 325 | 89 | 0 | 0 | 261 |
N.S. |
1 | 1.00 | 0.43 | 0.45 | 2.11 | 0.58 | 0.00 | 0.00 | 1.69 |
time (sec) |
N/A | 0.203 | 0.171 | 0.158 | 0.590 | 0.334 | 0.000 | 0.000 | 11.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 80 | 266 | 0 | 3361 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.32 | 1.08 | 0.00 | 13.61 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.253 | 0.138 | 0.226 | 0.000 | 190.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 80 | 232 | 0 | 3431 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.37 | 1.08 | 0.00 | 15.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.188 | 0.155 | 0.155 | 0.000 | 191.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 80 | 321 | 0 | 3519 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.34 | 1.36 | 0.00 | 14.91 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.242 | 0.126 | 0.155 | 0.000 | 188.741 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 49 | 34 | 126 | 104 | 0 | 0 | 82 |
N.S. |
1 | 1.00 | 1.36 | 0.94 | 3.50 | 2.89 | 0.00 | 0.00 | 2.28 |
time (sec) |
N/A | 0.046 | 0.072 | 0.145 | 0.539 | 0.341 | 0.000 | 0.000 | 5.992 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 59 | 44 | 197 | 72 | 0 | 0 | 95 |
N.S. |
1 | 1.00 | 0.78 | 0.58 | 2.59 | 0.95 | 0.00 | 0.00 | 1.25 |
time (sec) |
N/A | 0.091 | 0.114 | 0.142 | 0.563 | 0.346 | 0.000 | 0.000 | 6.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 56 | 54 | 264 | 94 | 0 | 0 | 119 |
N.S. |
1 | 1.00 | 0.49 | 0.47 | 2.30 | 0.82 | 0.00 | 0.00 | 1.03 |
time (sec) |
N/A | 0.149 | 0.105 | 0.145 | 0.550 | 0.351 | 0.000 | 0.000 | 6.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 66 | 70 | 335 | 110 | 0 | 0 | 230 |
N.S. |
1 | 1.00 | 0.43 | 0.45 | 2.18 | 0.71 | 0.00 | 0.00 | 1.49 |
time (sec) |
N/A | 0.200 | 0.176 | 0.155 | 0.549 | 0.356 | 0.000 | 0.000 | 11.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 76 | 80 | 404 | 120 | 0 | 0 | 413 |
N.S. |
1 | 1.00 | 0.39 | 0.41 | 2.09 | 0.62 | 0.00 | 0.00 | 2.14 |
time (sec) |
N/A | 0.248 | 0.283 | 0.188 | 0.547 | 0.353 | 0.000 | 0.000 | 11.651 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 80 | 282 | 0 | 3456 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.31 | 1.08 | 0.00 | 13.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.303 | 0.203 | 0.244 | 0.000 | 194.478 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 80 | 443 | 0 | 3536 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.33 | 1.85 | 0.00 | 14.79 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.247 | 0.122 | 0.144 | 0.000 | 195.179 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | B | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 80 | 545 | 0 | 3631 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.37 | 2.50 | 0.00 | 16.66 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.197 | 0.136 | 0.152 | 0.000 | 187.758 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 49 | 34 | 126 | 70 | 0 | 0 | 102 |
N.S. |
1 | 1.00 | 1.36 | 0.94 | 3.50 | 1.94 | 0.00 | 0.00 | 2.83 |
time (sec) |
N/A | 0.049 | 0.111 | 0.156 | 0.550 | 0.358 | 0.000 | 0.000 | 6.567 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 59 | 44 | 197 | 158 | 0 | 0 | 145 |
N.S. |
1 | 1.00 | 0.78 | 0.58 | 2.59 | 2.08 | 0.00 | 0.00 | 1.91 |
time (sec) |
N/A | 0.092 | 0.102 | 0.183 | 0.542 | 0.353 | 0.000 | 0.000 | 7.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 69 | 54 | 266 | 100 | 0 | 0 | 137 |
N.S. |
1 | 1.00 | 0.60 | 0.47 | 2.31 | 0.87 | 0.00 | 0.00 | 1.19 |
time (sec) |
N/A | 0.137 | 0.151 | 0.166 | 0.548 | 0.362 | 0.000 | 0.000 | 7.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 66 | 70 | 335 | 124 | 0 | 0 | 261 |
N.S. |
1 | 1.00 | 0.43 | 0.45 | 2.18 | 0.81 | 0.00 | 0.00 | 1.69 |
time (sec) |
N/A | 0.200 | 0.145 | 0.153 | 0.557 | 0.361 | 0.000 | 0.000 | 11.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 76 | 80 | 404 | 138 | 0 | 0 | 379 |
N.S. |
1 | 1.00 | 0.39 | 0.41 | 2.09 | 0.72 | 0.00 | 0.00 | 1.96 |
time (sec) |
N/A | 0.258 | 0.275 | 0.155 | 0.554 | 0.361 | 0.000 | 0.000 | 11.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 77 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.070 | 0.158 | 0.099 | 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(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 77 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.072 | 0.120 | 0.093 | 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 | 78 | 78 | 77 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.070 | 0.086 | 0.089 | 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 | 78 | 78 | 77 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.062 | 0.086 | 0.073 | 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 | 77 | 77 | 77 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.061 | 0.088 | 0.078 | 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(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 75 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 0.098 | 0.077 | 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 | 95 | 95 | 94 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 0.202 | 0.459 | 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 | 95 | 95 | 94 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 0.107 | 0.557 | 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 | 95 | 95 | 94 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 0.108 | 0.536 | 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 | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 266 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.041 | 1.538 | 0.230 | 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 | 95 | 95 | 94 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.070 | 0.164 | 0.243 | 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 | 93 | 93 | 94 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.065 | 0.175 | 0.604 | 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 | 93 | 93 | 94 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.065 | 0.170 | 0.737 | 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 | 93 | 93 | 94 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.064 | 0.195 | 2.879 | 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(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 102 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.079 | 0.253 | 0.127 | 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(-2) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 102 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.077 | 0.199 | 0.128 | 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(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 101 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.080 | 0.203 | 0.131 | 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 | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 310 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.070 | 3.943 | 0.147 | 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 | 101 | 101 | 97 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.073 | 0.109 | 0.105 | 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(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 101 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.173 | 0.112 | 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(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 102 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.085 | 0.133 | 0.113 | 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 | 114 | 114 | 112 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.190 | 0.128 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 796 | 0 | 520 | 153 | 0 | 517 | 555 |
N.S. |
1 | 1.00 | 7.30 | 0.00 | 4.77 | 1.40 | 0.00 | 4.74 | 5.09 |
time (sec) |
N/A | 0.061 | 6.144 | 0.299 | 0.310 | 0.390 | 0.000 | 5.115 | 10.480 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 100 | 0 | 266 | 102 | 5534 | 294 | 195 |
N.S. | 1 | 1.00 | 1.23 | 0.00 | 3.28 | 1.26 | 68.32 | 3.63 | 2.41 |
time (sec) |
N/A | 0.047 | 1.481 | 0.296 | 0.282 | 0.375 | 42.006 | 4.378 | 1.971 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 65 | 0 | 111 | 61 | 1114 | 137 | 85 |
N.S. | 1 | 1.00 | 1.18 | 0.00 | 2.02 | 1.11 | 20.25 | 2.49 | 1.55 |
time (sec) |
N/A | 0.040 | 0.205 | 0.129 | 0.281 | 0.388 | 3.809 | 5.651 | 0.726 |
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 | 26 | 26 | 26 | 27 | 26 | 28 | 80 | 26 | 29 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.08 | 3.08 | 1.00 | 1.12 |
time (sec) |
N/A | 0.021 | 0.045 | 3.103 | 0.276 | 0.357 | 0.458 | 5.616 | 0.215 |
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 | 40 | 40 | 63 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.034 | 0.099 | 0.165 | 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 | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 10814 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 230.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.039 | 37.798 | 0.121 | 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(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 26029 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 510.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.040 | 47.338 | 0.136 | 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 | 83 | 83 | 78 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 0.122 | 0.261 | 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 | 81 | 81 | 78 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.052 | 0.104 | 0.192 | 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 | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 3917 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 53.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 6.372 | 0.098 | 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(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 9400 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 113.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 6.655 | 0.116 | 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(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 85 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.064 | 0.198 | 0.161 | 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 | 88 | 88 | 85 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.063 | 0.140 | 0.141 | 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 | 88 | 88 | 85 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.061 | 0.093 | 0.156 | 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 | 86 | 86 | 83 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.061 | 0.086 | 0.125 | 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 | 82 | 82 | 82 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.064 | 0.112 | 0.128 | 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 | 85 | 85 | 85 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 0.125 | 0.131 | 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(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 101 | 0 | 0 | 105 | 0 | 0 | 137 |
N.S. |
1 | 1.00 | 0.50 | 0.00 | 0.00 | 0.52 | 0.00 | 0.00 | 0.68 |
time (sec) |
N/A | 0.220 | 0.203 | 0.223 | 0.000 | 0.364 | 0.000 | 0.000 | 6.828 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 76 | 0 | 0 | 76 | 0 | 0 | 103 |
N.S. |
1 | 1.00 | 0.54 | 0.00 | 0.00 | 0.54 | 0.00 | 0.00 | 0.73 |
time (sec) |
N/A | 0.147 | 0.138 | 0.217 | 0.000 | 0.390 | 0.000 | 0.000 | 6.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 53 | 0 | 0 | 62 | 0 | 0 | 71 |
N.S. |
1 | 1.00 | 0.60 | 0.00 | 0.00 | 0.70 | 0.00 | 0.00 | 0.80 |
time (sec) |
N/A | 0.086 | 0.118 | 0.188 | 0.000 | 0.347 | 0.000 | 0.000 | 5.605 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 0 | 62 | 40 | 0 | 0 | 34 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 1.82 | 1.18 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.034 | 0.058 | 0.204 | 0.493 | 0.369 | 0.000 | 0.000 | 0.288 |
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 | 115 | 115 | 108 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.078 | 0.134 | 0.129 | 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 | 97 | 97 | 97 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.073 | 0.267 | 0.201 | 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 | 115 | 115 | 113 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.252 | 0.201 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 105 | 0 | 689 | 315 | 0 | 0 | 601 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 4.59 | 2.10 | 0.00 | 0.00 | 4.01 |
time (sec) |
N/A | 0.166 | 0.404 | 0.206 | 0.550 | 0.415 | 0.000 | 0.000 | 13.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 72 | 0 | 378 | 171 | 0 | 0 | 241 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 4.02 | 1.82 | 0.00 | 0.00 | 2.56 |
time (sec) |
N/A | 0.096 | 0.220 | 0.213 | 0.512 | 0.361 | 0.000 | 0.000 | 8.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 43 | 0 | 155 | 81 | 0 | 0 | 58 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 3.52 | 1.84 | 0.00 | 0.00 | 1.32 |
time (sec) |
N/A | 0.037 | 0.165 | 0.186 | 0.532 | 0.352 | 0.000 | 0.000 | 5.582 |
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 | 61 | 61 | 61 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.047 | 0.071 | 0.171 | 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(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 76 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.054 | 0.146 | 0.177 | 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 | 89 | 89 | 96 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 0.222 | 0.177 | 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 | 89 | 89 | 96 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 0.185 | 0.190 | 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 | 86 | 86 | 90 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.060 | 0.092 | 0.157 | 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 | 87 | 87 | 87 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 0.219 | 0.165 | 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 | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 63 | 46 | 70 | 51 | 83 | 88 | 68 |
N.S. | 1 | 1.00 | 1.05 | 0.77 | 1.17 | 0.85 | 1.38 | 1.47 | 1.13 |
time (sec) |
N/A | 0.030 | 0.024 | 0.279 | 0.295 | 0.341 | 0.401 | 5.951 | 0.065 |
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 | 44 | 44 | 44 | 36 | 48 | 39 | 60 | 48 | 46 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 1.09 | 0.89 | 1.36 | 1.09 | 1.05 |
time (sec) |
N/A | 0.022 | 0.017 | 0.191 | 0.280 | 0.383 | 0.171 | 6.138 | 0.057 |
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 | 22 | 28 | 39 | 25 | 20 | 25 | 34 | 25 | 23 |
N.S. | 1 | 1.27 | 1.77 | 1.14 | 0.91 | 1.14 | 1.55 | 1.14 | 1.05 |
time (sec) |
N/A | 0.011 | 0.017 | 0.100 | 0.290 | 0.339 | 0.070 | 6.456 | 0.042 |
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 | 43 | 43 | 26 | 32 | 35 | 37 | 0 | 37 | 54 |
N.S. | 1 | 1.00 | 0.60 | 0.74 | 0.81 | 0.86 | 0.00 | 0.86 | 1.26 |
time (sec) |
N/A | 0.028 | 0.019 | 0.146 | 0.286 | 0.354 | 0.000 | 4.036 | 0.072 |
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 | 41 | 41 | 52 | 50 | 53 | 67 | 0 | 55 | 44 |
N.S. | 1 | 1.00 | 1.27 | 1.22 | 1.29 | 1.63 | 0.00 | 1.34 | 1.07 |
time (sec) |
N/A | 0.027 | 0.029 | 0.220 | 0.364 | 0.363 | 0.000 | 3.614 | 0.075 |
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 | 61 | 61 | 68 | 63 | 78 | 82 | 0 | 70 | 64 |
N.S. | 1 | 1.00 | 1.11 | 1.03 | 1.28 | 1.34 | 0.00 | 1.15 | 1.05 |
time (sec) |
N/A | 0.032 | 0.173 | 0.273 | 0.299 | 0.352 | 0.000 | 6.631 | 5.145 |
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 | 65 | 65 | 62 | 52 | 48 | 51 | 124 | 77 | 111 |
N.S. | 1 | 1.00 | 0.95 | 0.80 | 0.74 | 0.78 | 1.91 | 1.18 | 1.71 |
time (sec) |
N/A | 0.033 | 0.118 | 0.219 | 0.289 | 0.343 | 0.259 | 6.651 | 8.694 |
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 | 43 | 43 | 46 | 41 | 37 | 37 | 71 | 47 | 68 |
N.S. | 1 | 1.00 | 1.07 | 0.95 | 0.86 | 0.86 | 1.65 | 1.09 | 1.58 |
time (sec) |
N/A | 0.025 | 0.066 | 0.145 | 0.306 | 0.352 | 0.110 | 4.724 | 7.381 |
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 | 23 | 23 | 23 | 24 | 23 | 22 | 0 | 33 | 22 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 0.96 | 0.00 | 1.43 | 0.96 |
time (sec) |
N/A | 0.023 | 0.017 | 0.148 | 0.318 | 0.327 | 0.000 | 4.049 | 5.132 |
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 | 44 | 44 | 41 | 38 | 35 | 35 | 0 | 76 | 42 |
N.S. | 1 | 1.00 | 0.93 | 0.86 | 0.80 | 0.80 | 0.00 | 1.73 | 0.95 |
time (sec) |
N/A | 0.026 | 0.094 | 0.200 | 0.286 | 0.352 | 0.000 | 4.570 | 5.265 |
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 | 60 | 60 | 53 | 48 | 48 | 50 | 0 | 120 | 75 |
N.S. | 1 | 1.00 | 0.88 | 0.80 | 0.80 | 0.83 | 0.00 | 2.00 | 1.25 |
time (sec) |
N/A | 0.030 | 0.186 | 0.260 | 0.306 | 0.341 | 0.000 | 6.154 | 5.299 |
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 | 99 | 99 | 104 | 98 | 106 | 87 | 158 | 136 | 104 |
N.S. | 1 | 1.00 | 1.05 | 0.99 | 1.07 | 0.88 | 1.60 | 1.37 | 1.05 |
time (sec) |
N/A | 0.063 | 0.205 | 0.455 | 0.286 | 0.380 | 0.604 | 6.358 | 0.074 |
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 | 77 | 77 | 56 | 78 | 73 | 69 | 107 | 80 | 74 |
N.S. | 1 | 1.00 | 0.73 | 1.01 | 0.95 | 0.90 | 1.39 | 1.04 | 0.96 |
time (sec) |
N/A | 0.049 | 0.132 | 0.348 | 0.279 | 0.348 | 0.266 | 4.482 | 0.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 46 | 21 | 20 | 48 | 53 | 20 | 39 |
N.S. | 1 | 1.00 | 2.09 | 0.95 | 0.91 | 2.18 | 2.41 | 0.91 | 1.77 |
time (sec) |
N/A | 0.017 | 0.025 | 0.204 | 0.296 | 0.351 | 0.112 | 4.314 | 0.058 |
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 | 61 | 61 | 54 | 62 | 60 | 62 | 0 | 62 | 50 |
N.S. | 1 | 1.00 | 0.89 | 1.02 | 0.98 | 1.02 | 0.00 | 1.02 | 0.82 |
time (sec) |
N/A | 0.056 | 0.065 | 0.282 | 0.281 | 0.407 | 0.000 | 4.143 | 5.156 |
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 | 59 | 59 | 113 | 99 | 78 | 90 | 0 | 86 | 62 |
N.S. | 1 | 1.00 | 1.92 | 1.68 | 1.32 | 1.53 | 0.00 | 1.46 | 1.05 |
time (sec) |
N/A | 0.042 | 1.007 | 0.342 | 0.306 | 0.365 | 0.000 | 4.406 | 0.107 |
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 | 99 | 99 | 166 | 131 | 115 | 118 | 0 | 118 | 93 |
N.S. | 1 | 1.00 | 1.68 | 1.32 | 1.16 | 1.19 | 0.00 | 1.19 | 0.94 |
time (sec) |
N/A | 0.061 | 0.785 | 0.422 | 0.288 | 0.361 | 0.000 | 7.979 | 5.098 |
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 | 146 | 146 | 141 | 128 | 114 | 108 | 398 | 162 | 178 |
N.S. | 1 | 1.00 | 0.97 | 0.88 | 0.78 | 0.74 | 2.73 | 1.11 | 1.22 |
time (sec) |
N/A | 0.089 | 0.370 | 0.591 | 0.292 | 0.373 | 0.934 | 7.267 | 5.466 |
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 | 116 | 116 | 133 | 108 | 88 | 89 | 287 | 123 | 134 |
N.S. | 1 | 1.00 | 1.15 | 0.93 | 0.76 | 0.77 | 2.47 | 1.06 | 1.16 |
time (sec) |
N/A | 0.076 | 0.208 | 0.424 | 0.295 | 0.361 | 0.440 | 4.977 | 5.307 |
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 | 86 | 86 | 85 | 86 | 64 | 70 | 180 | 76 | 71 |
N.S. | 1 | 1.00 | 0.99 | 1.00 | 0.74 | 0.81 | 2.09 | 0.88 | 0.83 |
time (sec) |
N/A | 0.064 | 0.252 | 0.289 | 0.284 | 0.360 | 0.190 | 3.812 | 5.380 |
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 | 49 | 49 | 55 | 46 | 46 | 45 | 0 | 63 | 53 |
N.S. | 1 | 1.00 | 1.12 | 0.94 | 0.94 | 0.92 | 0.00 | 1.29 | 1.08 |
time (sec) |
N/A | 0.033 | 0.063 | 0.207 | 0.507 | 0.331 | 0.000 | 5.140 | 5.207 |
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 | 75 | 75 | 105 | 62 | 51 | 52 | 0 | 102 | 71 |
N.S. | 1 | 1.00 | 1.40 | 0.83 | 0.68 | 0.69 | 0.00 | 1.36 | 0.95 |
time (sec) |
N/A | 0.065 | 0.343 | 0.343 | 0.279 | 0.324 | 0.000 | 4.613 | 5.258 |
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 | 103 | 103 | 84 | 92 | 76 | 77 | 0 | 181 | 103 |
N.S. |
1 | 1.00 | 0.82 | 0.89 | 0.74 | 0.75 | 0.00 | 1.76 | 1.00 |
time (sec) |
N/A | 0.071 | 0.456 | 0.406 | 0.276 | 0.352 | 0.000 | 5.833 | 5.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 110 | 120 | 97 | 99 | 0 | 260 | 135 |
N.S. |
1 | 1.00 | 0.85 | 0.93 | 0.75 | 0.77 | 0.00 | 2.02 | 1.05 |
time (sec) |
N/A | 0.078 | 0.837 | 0.385 | 0.281 | 0.331 | 0.000 | 4.875 | 5.547 |
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 | 144 | 144 | 120 | 135 | 144 | 117 | 202 | 185 | 141 |
N.S. | 1 | 1.00 | 0.83 | 0.94 | 1.00 | 0.81 | 1.40 | 1.28 | 0.98 |
time (sec) |
N/A | 0.091 | 0.535 | 0.661 | 0.272 | 0.345 | 0.898 | 3.659 | 0.092 |