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 | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 23 | 308 | 0 | 39 | 0 | 0 | 24 |
N.S. |
1 | 1.00 | 0.96 | 12.83 | 0.00 | 1.62 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.017 | 0.053 | 3.863 | 0.000 | 2.563 | 0.000 | 0.000 | 0.308 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 43 | 194 | 0 | 74 | 0 | 0 | 103 |
N.S. |
1 | 1.00 | 0.81 | 3.66 | 0.00 | 1.40 | 0.00 | 0.00 | 1.94 |
time (sec) |
N/A | 0.046 | 0.119 | 7.459 | 0.000 | 3.757 | 0.000 | 0.000 | 2.962 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 481 | 0 | 103 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 0.66 | 6.09 | 0.00 | 1.30 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.068 | 0.138 | 31.787 | 0.000 | 3.414 | 0.000 | 0.000 | 3.362 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 67 | 222 | 0 | 118 | 0 | 0 | 350 |
N.S. |
1 | 1.00 | 0.64 | 2.11 | 0.00 | 1.12 | 0.00 | 0.00 | 3.33 |
time (sec) |
N/A | 0.085 | 0.152 | 143.652 | 0.000 | 2.727 | 0.000 | 0.000 | 4.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 66 | 204 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.052 | 0.334 | 20.416 | 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 | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 76 | 139 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.72 | 1.31 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.047 | 0.194 | 14.146 | 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 | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 34 | 137 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.45 | 1.83 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.091 | 10.839 | 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 | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 73 | 111 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.929 | 7.872 | 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 | F(-2) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 37 | 176 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 4.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.028 | 0.140 | 10.641 | 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 | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 82 | 0 | 0 | 101 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.71 | 0.00 | 0.00 | 2.10 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.029 | 1.031 | 180.000 | 0.000 | 1.222 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-2) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 64 | 227 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 2.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.612 | 42.560 | 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 | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 66 | 154 | 0 | 177 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 2.00 | 0.00 | 2.30 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.475 | 224.974 | 0.000 | 0.550 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 85 | 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 | 0.050 | 0.849 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F(-1) | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 86 | 0 | 0 | 233 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 2.20 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.044 | 0.362 | 180.000 | 0.000 | 0.942 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 100 | 441 | 0 | 291 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.53 | 2.32 | 0.00 | 1.53 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.144 | 0.374 | 286.109 | 0.000 | 2.634 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 84 | 973 | 0 | 280 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.51 | 5.93 | 0.00 | 1.71 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.122 | 0.230 | 129.376 | 0.000 | 2.185 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 70 | 243 | 0 | 268 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.55 | 1.91 | 0.00 | 2.11 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 0.153 | 33.215 | 0.000 | 2.465 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 68 | 542 | 0 | 295 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.65 | 5.21 | 0.00 | 2.84 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.075 | 0.105 | 83.900 | 0.000 | 2.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 192 | 0 | 53 | 0 | 0 | 95 |
N.S. |
1 | 1.00 | 0.96 | 6.86 | 0.00 | 1.89 | 0.00 | 0.00 | 3.39 |
time (sec) |
N/A | 0.020 | 0.056 | 25.585 | 0.000 | 2.252 | 0.000 | 0.000 | 1.500 |
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 | 55 | 55 | 35 | 0 | 0 | 76 | 0 | 0 | 93 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 1.38 | 0.00 | 0.00 | 1.69 |
time (sec) |
N/A | 0.041 | 0.100 | 180.000 | 0.000 | 2.869 | 0.000 | 0.000 | 3.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 55 | 222 | 0 | 104 | 0 | 0 | 302 |
N.S. |
1 | 1.00 | 0.68 | 2.74 | 0.00 | 1.28 | 0.00 | 0.00 | 3.73 |
time (sec) |
N/A | 0.071 | 0.129 | 172.617 | 0.000 | 2.121 | 0.000 | 0.000 | 3.700 |
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 | 107 | 107 | 62 | 0 | 0 | 131 | 0 | 0 | 383 |
N.S. |
1 | 1.00 | 0.58 | 0.00 | 0.00 | 1.22 | 0.00 | 0.00 | 3.58 |
time (sec) |
N/A | 0.091 | 0.107 | 180.000 | 0.000 | 2.993 | 0.000 | 0.000 | 4.989 |
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 | 84 | 84 | 602 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.057 | 5.724 | 0.569 | 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 | 84 | 84 | 602 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 3.770 | 0.362 | 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 | 82 | 82 | 152 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.046 | 0.571 | 0.104 | 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 | 72 | 72 | 254 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.047 | 0.976 | 0.213 | 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 | 85 | 85 | 938 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 11.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.057 | 7.920 | 0.231 | 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 | 85 | 85 | 2308 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 27.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 18.958 | 0.244 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 47 | 111 | 91 | 46 | 270 | 46 | 46 |
N.S. | 1 | 1.00 | 0.77 | 1.82 | 1.49 | 0.75 | 4.43 | 0.75 | 0.75 |
time (sec) |
N/A | 0.044 | 0.488 | 0.217 | 0.286 | 2.847 | 33.359 | 0.409 | 0.035 |
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 | 61 | 61 | 47 | 97 | 80 | 73 | 233 | 80 | 45 |
N.S. | 1 | 1.00 | 0.77 | 1.59 | 1.31 | 1.20 | 3.82 | 1.31 | 0.74 |
time (sec) |
N/A | 0.043 | 0.356 | 0.320 | 0.269 | 3.983 | 14.949 | 0.404 | 0.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 83 | 69 | 36 | 199 | 36 | 36 |
N.S. | 1 | 1.00 | 0.80 | 1.80 | 1.50 | 0.78 | 4.33 | 0.78 | 0.78 |
time (sec) |
N/A | 0.039 | 0.296 | 0.151 | 0.271 | 2.631 | 6.472 | 0.396 | 0.146 |
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 | 46 | 46 | 37 | 69 | 58 | 53 | 162 | 58 | 36 |
N.S. | 1 | 1.00 | 0.80 | 1.50 | 1.26 | 1.15 | 3.52 | 1.26 | 0.78 |
time (sec) |
N/A | 0.037 | 0.157 | 0.186 | 0.270 | 2.807 | 2.724 | 0.398 | 0.141 |
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 | 31 | 31 | 27 | 55 | 47 | 26 | 128 | 26 | 26 |
N.S. | 1 | 1.00 | 0.87 | 1.77 | 1.52 | 0.84 | 4.13 | 0.84 | 0.84 |
time (sec) |
N/A | 0.038 | 0.107 | 0.113 | 0.273 | 2.872 | 1.075 | 0.519 | 0.032 |
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 | 31 | 31 | 27 | 41 | 36 | 33 | 90 | 36 | 26 |
N.S. | 1 | 1.00 | 0.87 | 1.32 | 1.16 | 1.06 | 2.90 | 1.16 | 0.84 |
time (sec) |
N/A | 0.034 | 0.077 | 0.193 | 0.280 | 1.960 | 0.404 | 0.420 | 0.028 |
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 | 30 | 30 | 15 | 27 | 26 | 13 | 53 | 13 | 43 |
N.S. | 1 | 1.00 | 0.50 | 0.90 | 0.87 | 0.43 | 1.77 | 0.43 | 1.43 |
time (sec) |
N/A | 0.008 | 0.007 | 0.087 | 0.268 | 2.212 | 0.165 | 0.402 | 0.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 42 | 22 | 84 | 30 | 0 | 28 | 12 |
N.S. |
1 | 1.00 | 3.00 | 1.57 | 6.00 | 2.14 | 0.00 | 2.00 | 0.86 |
time (sec) |
N/A | 0.013 | 0.021 | 0.142 | 0.289 | 2.636 | 0.000 | 0.433 | 0.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 29 | 31 | 233 | 50 | 0 | 38 | 26 |
N.S. |
1 | 1.00 | 1.04 | 1.11 | 8.32 | 1.79 | 0.00 | 1.36 | 0.93 |
time (sec) |
N/A | 0.029 | 0.026 | 0.161 | 0.516 | 3.341 | 0.000 | 0.441 | 0.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 143 | 53 | 974 | 96 | 0 | 63 | 49 |
N.S. |
1 | 1.00 | 2.92 | 1.08 | 19.88 | 1.96 | 0.00 | 1.29 | 1.00 |
time (sec) |
N/A | 0.039 | 0.276 | 0.182 | 0.292 | 2.525 | 0.000 | 0.534 | 0.083 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 31 | 69 | 1780 | 130 | 0 | 72 | 61 |
N.S. |
1 | 1.00 | 0.47 | 1.05 | 26.97 | 1.97 | 0.00 | 1.09 | 0.92 |
time (sec) |
N/A | 0.044 | 0.027 | 0.194 | 0.572 | 2.052 | 0.000 | 0.442 | 0.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 268 | 89 | 3846 | 148 | 0 | 85 | 78 |
N.S. |
1 | 1.00 | 3.01 | 1.00 | 43.21 | 1.66 | 0.00 | 0.96 | 0.88 |
time (sec) |
N/A | 0.051 | 0.538 | 0.237 | 0.419 | 2.139 | 0.000 | 0.433 | 0.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 68 | 86 | 72 | 36 | 597 | 36 | 35 |
N.S. | 1 | 1.00 | 1.55 | 1.95 | 1.64 | 0.82 | 13.57 | 0.82 | 0.80 |
time (sec) |
N/A | 0.051 | 0.443 | 0.241 | 0.264 | 2.685 | 15.365 | 0.411 | 0.175 |
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 | 76 | 76 | 62 | 75 | 65 | 66 | 434 | 68 | 109 |
N.S. | 1 | 1.00 | 0.82 | 0.99 | 0.86 | 0.87 | 5.71 | 0.89 | 1.43 |
time (sec) |
N/A | 0.054 | 0.215 | 0.267 | 0.279 | 4.238 | 6.472 | 0.406 | 1.727 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 48 | 58 | 50 | 26 | 362 | 26 | 26 |
N.S. | 1 | 1.00 | 1.71 | 2.07 | 1.79 | 0.93 | 12.93 | 0.93 | 0.93 |
time (sec) |
N/A | 0.043 | 0.138 | 0.142 | 0.259 | 3.653 | 2.720 | 0.527 | 0.144 |
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 | 49 | 49 | 40 | 47 | 43 | 47 | 231 | 46 | 43 |
N.S. | 1 | 1.00 | 0.82 | 0.96 | 0.88 | 0.96 | 4.71 | 0.94 | 0.88 |
time (sec) |
N/A | 0.041 | 0.111 | 0.141 | 0.267 | 2.016 | 1.131 | 0.453 | 0.313 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 30 | 26 | 13 | 133 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 2.00 | 1.73 | 0.87 | 8.87 | 0.87 | 0.87 |
time (sec) |
N/A | 0.025 | 0.005 | 0.141 | 0.286 | 2.710 | 0.428 | 0.414 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 22 | 13 | 82 | 14 | 0 | 13 | 14 |
N.S. |
1 | 1.00 | 1.57 | 0.93 | 5.86 | 1.00 | 0.00 | 0.93 | 1.00 |
time (sec) |
N/A | 0.019 | 0.022 | 0.125 | 0.274 | 2.823 | 0.000 | 0.406 | 0.157 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 53 | 19 | 0 | 13 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 4.08 | 1.46 | 0.00 | 1.00 | 0.85 |
time (sec) |
N/A | 0.027 | 0.018 | 0.149 | 0.267 | 2.441 | 0.000 | 0.456 | 0.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 34 | 24 | 656 | 65 | 0 | 41 | 36 |
N.S. |
1 | 1.00 | 1.13 | 0.80 | 21.87 | 2.17 | 0.00 | 1.37 | 1.20 |
time (sec) |
N/A | 0.036 | 0.058 | 0.163 | 0.293 | 2.753 | 0.000 | 0.531 | 0.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 48 | 51 | 308 | 54 | 0 | 35 | 37 |
N.S. |
1 | 1.00 | 1.14 | 1.21 | 7.33 | 1.29 | 0.00 | 0.83 | 0.88 |
time (sec) |
N/A | 0.047 | 0.064 | 0.208 | 0.284 | 2.842 | 0.000 | 0.441 | 0.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 54 | 62 | 3188 | 138 | 0 | 74 | 82 |
N.S. |
1 | 1.00 | 0.90 | 1.03 | 53.13 | 2.30 | 0.00 | 1.23 | 1.37 |
time (sec) |
N/A | 0.051 | 0.386 | 0.216 | 0.356 | 2.470 | 0.000 | 0.439 | 0.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 97 | 80 | 36 | 447 | 36 | 36 |
N.S. | 1 | 1.00 | 0.80 | 2.11 | 1.74 | 0.78 | 9.72 | 0.78 | 0.78 |
time (sec) |
N/A | 0.046 | 0.443 | 0.329 | 0.275 | 1.892 | 33.479 | 0.415 | 0.071 |
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 | 61 | 61 | 47 | 83 | 69 | 63 | 366 | 69 | 45 |
N.S. | 1 | 1.00 | 0.77 | 1.36 | 1.13 | 1.03 | 6.00 | 1.13 | 0.74 |
time (sec) |
N/A | 0.050 | 0.254 | 0.289 | 0.276 | 1.581 | 14.965 | 0.409 | 0.061 |
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 | 31 | 31 | 27 | 55 | 47 | 26 | 284 | 26 | 26 |
N.S. | 1 | 1.00 | 0.87 | 1.77 | 1.52 | 0.84 | 9.16 | 0.84 | 0.84 |
time (sec) |
N/A | 0.044 | 0.155 | 0.184 | 0.279 | 1.913 | 6.368 | 0.546 | 0.152 |
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 | 46 | 46 | 37 | 55 | 47 | 43 | 202 | 47 | 36 |
N.S. | 1 | 1.00 | 0.80 | 1.20 | 1.02 | 0.93 | 4.39 | 1.02 | 0.78 |
time (sec) |
N/A | 0.046 | 0.105 | 0.164 | 0.288 | 2.365 | 2.709 | 0.456 | 0.160 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 41 | 34 | 13 | 117 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 2.73 | 2.27 | 0.87 | 7.80 | 0.87 | 0.87 |
time (sec) |
N/A | 0.025 | 0.008 | 0.099 | 0.273 | 1.740 | 1.037 | 0.405 | 0.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 46 | 29 | 92 | 38 | 0 | 36 | 22 |
N.S. |
1 | 1.00 | 1.64 | 1.04 | 3.29 | 1.36 | 0.00 | 1.29 | 0.79 |
time (sec) |
N/A | 0.026 | 0.024 | 0.154 | 0.272 | 2.886 | 0.000 | 0.418 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 14 | 84 | 13 | 0 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 6.46 | 1.00 | 0.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.027 | 0.015 | 0.090 | 0.273 | 3.099 | 0.000 | 0.462 | 0.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 79 | 39 | 558 | 72 | 0 | 48 | 36 |
N.S. |
1 | 1.00 | 2.32 | 1.15 | 16.41 | 2.12 | 0.00 | 1.41 | 1.06 |
time (sec) |
N/A | 0.030 | 0.020 | 0.217 | 0.293 | 2.230 | 0.000 | 0.549 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 31 | 41 | 834 | 94 | 0 | 52 | 38 |
N.S. |
1 | 1.00 | 0.72 | 0.95 | 19.40 | 2.19 | 0.00 | 1.21 | 0.88 |
time (sec) |
N/A | 0.040 | 0.022 | 0.194 | 0.531 | 2.157 | 0.000 | 0.473 | 0.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 195 | 71 | 2237 | 132 | 0 | 73 | 66 |
N.S. |
1 | 1.00 | 2.79 | 1.01 | 31.96 | 1.89 | 0.00 | 1.04 | 0.94 |
time (sec) |
N/A | 0.053 | 0.370 | 0.229 | 0.332 | 2.457 | 0.000 | 0.451 | 0.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 98 | 221660564 | 0 | 290 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.72 | 1629857.09 | 0.00 | 2.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.070 | 0.375 | 99.630 | 0.000 | 2.429 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 86 | 85899870 | 0 | 281 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 780907.91 | 0.00 | 2.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.211 | 24.427 | 0.000 | 3.698 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 70 | 5537888 | 0 | 266 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 65927.24 | 0.00 | 3.17 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.032 | 0.115 | 2.474 | 0.000 | 2.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 52 | 18450099 | 0 | 242 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 318105.16 | 0.00 | 4.17 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.016 | 0.058 | 2.801 | 0.000 | 1.624 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 23 | 63401108 | 0 | 39 | 0 | 2029 | 24 |
N.S. |
1 | 1.00 | 0.96 | 2641712.83 | 0.00 | 1.62 | 0.00 | 84.54 | 1.00 |
time (sec) |
N/A | 0.014 | 0.023 | 10.362 | 0.000 | 1.593 | 0.000 | 12.481 | 0.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 43 | 194 | 0 | 74 | 0 | 7875 | 104 |
N.S. |
1 | 1.00 | 0.81 | 3.66 | 0.00 | 1.40 | 0.00 | 148.58 | 1.96 |
time (sec) |
N/A | 0.027 | 0.122 | 17.645 | 0.000 | 1.541 | 0.000 | 45.071 | 3.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 0 | 0 | 103 | 0 | 18022 | 136 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 1.30 | 0.00 | 228.13 | 1.72 |
time (sec) |
N/A | 0.044 | 0.143 | 180.000 | 0.000 | 2.252 | 0.000 | 155.497 | 3.233 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 67 | 0 | 0 | 118 | 0 | 0 | 350 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 1.12 | 0.00 | 0.00 | 3.33 |
time (sec) |
N/A | 0.064 | 0.164 | 180.000 | 0.000 | 1.536 | 0.000 | 0.000 | 3.866 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F(-1) | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 96 | 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 | 0.052 | 0.377 | 180.000 | 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 | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 66 | 358108730 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 5189981.59 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.230 | 186.905 | 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 | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 76 | 189673602 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.10 | 2748892.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.333 | 71.639 | 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 | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 34 | 26159849 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 653996.22 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.028 | 0.069 | 6.631 | 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 | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 76 | 66249372 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.90 | 1656234.30 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.027 | 0.999 | 15.168 | 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 | F(-2) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 39 | 106313389 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 2311160.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.029 | 0.131 | 17.612 | 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 | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 82 | 123 | 0 | 101 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.71 | 2.56 | 0.00 | 2.10 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.028 | 1.141 | 82.682 | 0.000 | 0.439 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 64 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.625 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F(-1) | F | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 99 | 0 | 0 | 291 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 2.14 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.074 | 0.368 | 180.000 | 0.000 | 1.949 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F(-1) | F | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 84 | 0 | 0 | 280 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 2.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.064 | 0.210 | 180.000 | 0.000 | 2.848 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F(-1) | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 73 | 0 | 0 | 268 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 3.19 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.039 | 0.129 | 180.000 | 0.000 | 3.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 70 | 179323150 | 0 | 295 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 2186867.68 | 0.00 | 3.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 0.107 | 23.230 | 0.000 | 3.663 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 192 | 0 | 53 | 0 | 15292 | 94 |
N.S. |
1 | 1.00 | 0.96 | 6.86 | 0.00 | 1.89 | 0.00 | 546.14 | 3.36 |
time (sec) |
N/A | 0.021 | 0.064 | 175.777 | 0.000 | 2.700 | 0.000 | 92.584 | 1.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 35 | 0 | 0 | 76 | 0 | 0 | 93 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 1.38 | 0.00 | 0.00 | 1.69 |
time (sec) |
N/A | 0.035 | 0.112 | 180.000 | 0.000 | 3.164 | 0.000 | 0.000 | 3.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 55 | 0 | 0 | 104 | 0 | 0 | 302 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 1.28 | 0.00 | 0.00 | 3.73 |
time (sec) |
N/A | 0.053 | 0.134 | 180.000 | 0.000 | 2.243 | 0.000 | 0.000 | 3.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F(-1) | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 62 | 0 | 0 | 131 | 0 | 0 | 383 |
N.S. |
1 | 1.00 | 0.58 | 0.00 | 0.00 | 1.22 | 0.00 | 0.00 | 3.58 |
time (sec) |
N/A | 0.068 | 0.112 | 180.000 | 0.000 | 2.188 | 0.000 | 0.000 | 4.881 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 29 | 98 | 0 | 137 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 3.16 | 0.00 | 4.42 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.010 | 0.030 | 0.175 | 0.000 | 2.690 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 99 | 0 | 137 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 3.96 | 0.00 | 5.48 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.024 | 0.021 | 0.145 | 0.000 | 2.910 | 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 | 85 | 85 | 2472 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 29.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 13.375 | 0.177 | 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 | 85 | 85 | 890 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 10.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.054 | 8.231 | 0.173 | 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 | 83 | 83 | 149 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.045 | 0.301 | 0.082 | 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 | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 69 | 58 | 36 | 318 | 36 | 36 |
N.S. | 1 | 1.00 | 0.80 | 1.50 | 1.26 | 0.78 | 6.91 | 0.78 | 0.78 |
time (sec) |
N/A | 0.070 | 0.182 | 0.217 | 0.272 | 2.700 | 14.954 | 0.455 | 0.205 |
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 | 293 | 293 | 199 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.594 | 0.939 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 86 | 84 | 916 | 122 | 918 | 84 | 311 |
N.S. | 1 | 1.00 | 0.95 | 0.92 | 10.07 | 1.34 | 10.09 | 0.92 | 3.42 |
time (sec) |
N/A | 0.059 | 0.579 | 0.211 | 0.316 | 2.846 | 2.359 | 0.395 | 1.567 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 69 | 57 | 414 | 71 | 405 | 56 | 98 |
N.S. | 1 | 1.00 | 1.11 | 0.92 | 6.68 | 1.15 | 6.53 | 0.90 | 1.58 |
time (sec) |
N/A | 0.038 | 0.749 | 0.224 | 0.296 | 2.164 | 0.796 | 0.405 | 0.736 |
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 | 43 | 43 | 43 | 40 | 40 | 42 | 153 | 40 | 84 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.93 | 0.98 | 3.56 | 0.93 | 1.95 |
time (sec) |
N/A | 0.030 | 0.214 | 0.116 | 0.268 | 3.001 | 0.309 | 0.403 | 1.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 161 | 108 | 31 | 335 | 236 | 111 |
N.S. | 1 | 1.00 | 1.00 | 6.19 | 4.15 | 1.19 | 12.88 | 9.08 | 4.27 |
time (sec) |
N/A | 0.020 | 0.173 | 0.376 | 0.298 | 2.846 | 4.102 | 0.413 | 0.869 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 90 | 347 | 454 | 71 | 3264 | 349 | 252 |
N.S. | 1 | 1.00 | 2.50 | 9.64 | 12.61 | 1.97 | 90.67 | 9.69 | 7.00 |
time (sec) |
N/A | 0.024 | 0.116 | 0.617 | 0.312 | 2.735 | 60.428 | 0.401 | 5.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 35 | 120 | 399 | 47 | 0 | 145 | -1 |
N.S. |
1 | 1.00 | 0.90 | 3.08 | 10.23 | 1.21 | 0.00 | 3.72 | -0.03 |
time (sec) |
N/A | 0.031 | 0.228 | 0.948 | 0.280 | 2.029 | 0.000 | 0.426 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 67 | 1748 | 1773 | 141 | 0 | 2221 | -1 |
N.S. |
1 | 1.00 | 1.00 | 26.09 | 26.46 | 2.10 | 0.00 | 33.15 | -0.01 |
time (sec) |
N/A | 0.034 | 0.614 | 1.884 | 0.353 | 3.452 | 0.000 | 0.441 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 58 | 321 | 1076 | 75 | 0 | 301 | -1 |
N.S. |
1 | 1.00 | 0.97 | 5.35 | 17.93 | 1.25 | 0.00 | 5.02 | -0.02 |
time (sec) |
N/A | 0.033 | 0.407 | 2.851 | 0.318 | 2.683 | 0.000 | 0.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 79 | 6746 | 3879 | 197 | 0 | 8035 | -1 |
N.S. |
1 | 1.00 | 0.84 | 71.77 | 41.27 | 2.10 | 0.00 | 85.48 | -0.01 |
time (sec) |
N/A | 0.045 | 1.228 | 6.250 | 0.537 | 2.906 | 0.000 | 0.481 | 0.000 |