Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 260 | 216 | 399 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 1.53 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.103 | 2.266 | 0.084 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 86 | 158 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.44 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 0.865 | 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 | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 86 | 100 | 0 | 41 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 1.15 | 0.00 | 0.47 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.012 | 0.691 | 0.073 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 112 | 248 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.41 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.097 | 2.066 | 0.072 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 261 | 752 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 2.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.100 | 3.273 | 0.092 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 334 | 334 | 301 | 1607 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 4.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.185 | 3.550 | 0.083 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 445 | 445 | 318 | 755 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 1.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.263 | 5.495 | 0.129 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 346 | 346 | 256 | 539 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 1.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.180 | 4.680 | 0.106 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 196 | 345 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.098 | 4.086 | 0.077 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 136 | 188 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.62 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.010 | 2.058 | 0.079 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 112 | 144 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.58 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.099 | 2.102 | 0.074 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 224 | 354 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.93 | 1.46 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.082 | 4.506 | 0.094 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 323 | 323 | 337 | 964 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 2.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.180 | 5.726 | 0.098 | 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 | 87 | 87 | 86 | 100 | 0 | 41 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 1.15 | 0.00 | 0.47 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.014 | 0.040 | 0.000 | 0.000 | 0.169 | 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 | 87 | 87 | 87 | 103 | 0 | 39 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.18 | 0.00 | 0.45 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.731 | 0.079 | 0.000 | 0.158 | 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 | 87 | 87 | 89 | 103 | 0 | 39 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 1.18 | 0.00 | 0.45 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.753 | 0.081 | 0.000 | 0.133 | 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 | 88 | 88 | 88 | 104 | 0 | 38 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.18 | 0.00 | 0.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.751 | 0.077 | 0.000 | 0.142 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 14 | 0 | 8 | 19 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.17 | 0.00 | 0.67 | 1.58 | 0.00 | -0.08 |
time (sec) |
N/A | 0.005 | 0.221 | 0.098 | 0.000 | 0.119 | 1.622 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 58 | 14 | 0 | 8 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 5.80 | 1.40 | 0.00 | 0.80 | 0.00 | 0.00 | -0.10 |
time (sec) |
N/A | 0.006 | 10.040 | 0.110 | 0.000 | 0.142 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 14 | 0 | 8 | 19 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.17 | 0.00 | 0.67 | 1.58 | 0.00 | -0.08 |
time (sec) |
N/A | 0.005 | 0.224 | 0.080 | 0.000 | 0.109 | 1.611 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 10 | 0 | 8 | 73 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.00 | 0.80 | 7.30 | 0.00 | -0.10 |
time (sec) |
N/A | 0.004 | 10.025 | 0.093 | 0.000 | 0.120 | 10.955 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 18 | 14 | 0 | 8 | 19 | 0 | -1 |
N.S. | 1 | 1.00 | 1.50 | 1.17 | 0.00 | 0.67 | 1.58 | 0.00 | -0.08 |
time (sec) |
N/A | 0.005 | 10.051 | 0.094 | 0.000 | 0.193 | 1.215 | 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 | 12 | 12 | 12 | 13 | 0 | 8 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.67 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A | 0.005 | 0.202 | 0.095 | 0.000 | 0.236 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | B | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 26 | 8 | 0 | 68 | 22 | 0 | -1 |
N.S. | 1 | 1.00 | 3.25 | 1.00 | 0.00 | 8.50 | 2.75 | 0.00 | -0.12 |
time (sec) |
N/A | 0.002 | 0.005 | 0.082 | 0.000 | 1.246 | 0.918 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 0 | 8 | 34 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.67 | 2.83 | 0.00 | -0.08 |
time (sec) |
N/A | 0.005 | 0.211 | 0.095 | 0.000 | 0.151 | 1.338 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 11 | 0 | 8 | 39 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 0.00 | 0.80 | 3.90 | 0.00 | -0.10 |
time (sec) |
N/A | 0.005 | 0.058 | 0.105 | 0.000 | 0.178 | 1.864 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 0 | 8 | 34 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.67 | 2.83 | 0.00 | -0.08 |
time (sec) |
N/A | 0.005 | 0.215 | 0.097 | 0.000 | 0.206 | 1.337 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 19 | 17 | 0 | 10 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.37 | 0.33 | 0.00 | 0.20 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.006 | 0.205 | 0.080 | 0.000 | 0.478 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 17 | 15 | 0 | 10 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.35 | 0.31 | 0.00 | 0.20 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.006 | 0.066 | 0.085 | 0.000 | 0.345 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 19 | 17 | 0 | 10 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.37 | 0.33 | 0.00 | 0.20 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.007 | 0.193 | 0.066 | 0.000 | 0.239 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 8 | 0 | 34 | 8 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.00 | 4.25 | 1.00 | 0.00 | -0.12 |
time (sec) |
N/A | 0.002 | 0.003 | 0.063 | 0.000 | 1.200 | 0.952 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 19 | 15 | 0 | 10 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.40 | 0.32 | 0.00 | 0.21 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.006 | 0.193 | 0.075 | 0.000 | 0.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 19 | 14 | 0 | 8 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.90 | 1.40 | 0.00 | 0.80 | 0.00 | 0.00 | -0.10 |
time (sec) |
N/A | 0.005 | 10.038 | 0.089 | 0.000 | 0.177 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 10 | 0 | 8 | 76 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.00 | 0.80 | 7.60 | 0.00 | -0.10 |
time (sec) |
N/A | 0.004 | 10.023 | 0.080 | 0.000 | 0.362 | 10.997 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 19 | 0 | 16 | 36 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.80 | 1.80 | 0.00 | -0.05 |
time (sec) |
N/A | 0.005 | 0.212 | 0.079 | 0.000 | 0.271 | 1.494 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 0 | 9 | 41 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.56 | 2.56 | 0.00 | -0.06 |
time (sec) |
N/A | 0.005 | 0.054 | 0.103 | 0.000 | 0.266 | 2.086 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 19 | 0 | 16 | 36 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.80 | 1.80 | 0.00 | -0.05 |
time (sec) |
N/A | 0.006 | 0.207 | 0.094 | 0.000 | 0.154 | 1.501 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 37 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.010 | 0.220 | 0.087 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 34 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.010 | 0.069 | 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 | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 37 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.009 | 0.198 | 0.095 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 46 | 30 | 0 | 0 | 75 | 0 | -1 |
N.S. | 1 | 1.00 | 1.84 | 1.20 | 0.00 | 0.00 | 3.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.008 | 0.052 | 0.099 | 0.000 | 0.000 | 10.965 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 34 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.009 | 0.188 | 0.088 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 47 | 28 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.92 | 2.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A | 0.004 | 10.043 | 0.100 | 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 | 29 | 29 | 40 | 24 | 0 | 34 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.38 | 0.83 | 0.00 | 1.17 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.002 | 0.009 | 0.106 | 0.000 | 0.989 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 40 | 29 | 0 | 0 | 37 | 0 | -1 |
N.S. | 1 | 1.00 | 1.25 | 0.91 | 0.00 | 0.00 | 1.16 | 0.00 | -0.03 |
time (sec) |
N/A | 0.009 | 0.218 | 0.098 | 0.000 | 0.000 | 1.548 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 36 | 27 | 0 | 0 | 42 | 0 | -1 |
N.S. | 1 | 1.00 | 1.20 | 0.90 | 0.00 | 0.00 | 1.40 | 0.00 | -0.03 |
time (sec) |
N/A | 0.010 | 0.070 | 0.118 | 0.000 | 0.000 | 2.047 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 40 | 29 | 0 | 0 | 37 | 0 | -1 |
N.S. | 1 | 1.00 | 1.25 | 0.91 | 0.00 | 0.00 | 1.16 | 0.00 | -0.03 |
time (sec) |
N/A | 0.009 | 0.204 | 0.100 | 0.000 | 0.000 | 1.563 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 39 | 36 | 0 | 10 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 0.68 | 0.00 | 0.19 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.007 | 0.214 | 0.079 | 0.000 | 0.314 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 37 | 33 | 0 | 10 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 0.65 | 0.00 | 0.20 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.007 | 0.069 | 0.096 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 39 | 36 | 0 | 10 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 0.68 | 0.00 | 0.19 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.007 | 0.221 | 0.079 | 0.000 | 0.197 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 24 | 0 | 104 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.86 | 0.00 | 3.71 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.003 | 0.009 | 0.077 | 0.000 | 1.066 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 53 | 33 | 0 | 16 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.08 | 0.67 | 0.00 | 0.33 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.007 | 0.028 | 0.074 | 0.000 | 0.182 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 39 | 34 | 0 | 16 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.26 | 1.10 | 0.00 | 0.52 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.011 | 0.211 | 0.091 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 65 | 48 | 30 | 0 | 8 | 73 | 0 | -1 |
N.S. | 1 | 1.55 | 1.14 | 0.71 | 0.00 | 0.19 | 1.74 | 0.00 | -0.02 |
time (sec) |
N/A | 0.009 | 0.057 | 0.091 | 0.000 | 0.185 | 11.162 | 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 | 40 | 40 | 40 | 34 | 0 | 22 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.00 | 0.55 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.010 | 0.202 | 0.085 | 0.000 | 0.221 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 34 | 0 | 15 | 44 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.42 | 1.22 | 0.00 | -0.03 |
time (sec) |
N/A | 0.011 | 0.070 | 0.098 | 0.000 | 0.240 | 1.969 | 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 | 40 | 40 | 40 | 34 | 0 | 22 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.00 | 0.55 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.010 | 0.209 | 0.090 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 87 | 104 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.031 | 0.877 | 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 | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 90 | 168 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.888 | 0.085 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 88 | 167 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.031 | 0.658 | 0.081 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 91 | 108 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.686 | 0.084 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 88 | 105 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.033 | 0.894 | 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 | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 89 | 161 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.879 | 0.088 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 89 | 162 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.729 | 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 | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 90 | 107 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.033 | 0.674 | 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 | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 86 | 158 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.44 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.057 | 0.020 | 0.000 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 89 | 104 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.44 | 0.51 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.065 | 0.871 | 0.084 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 89 | 108 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.44 | 0.53 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.063 | 0.864 | 0.080 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 92 | 165 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.43 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.073 | 0.737 | 0.080 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 89 | 161 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.085 | 0.872 | 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 | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 90 | 107 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.086 | 0.863 | 0.084 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 92 | 109 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.089 | 0.656 | 0.083 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 93 | 166 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 0.614 | 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 | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 87 | 104 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.878 | 0.079 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 90 | 168 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.876 | 0.084 | 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 | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 88 | 167 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.749 | 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 | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 91 | 108 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.632 | 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 | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 88 | 160 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.036 | 0.896 | 0.071 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 89 | 106 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.873 | 0.079 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 89 | 106 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.038 | 0.807 | 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 | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 90 | 163 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.707 | 0.081 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 86 | 101 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.42 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.059 | 0.033 | 0.000 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 89 | 161 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.42 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.068 | 0.871 | 0.076 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 89 | 162 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.42 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.076 | 0.860 | 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 | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 92 | 111 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.41 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.074 | 0.808 | 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 | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 89 | 161 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.089 | 0.862 | 0.074 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 90 | 107 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.089 | 0.850 | 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 | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 92 | 109 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.089 | 0.681 | 0.088 | 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(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 93 | 166 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.088 | 0.661 | 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 | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 37 | 38 | 0 | 34 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.47 | 0.49 | 0.00 | 0.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.013 | 0.570 | 0.078 | 0.000 | 0.453 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 40 | 38 | 0 | 14 | 20 | 0 | -1 |
N.S. | 1 | 1.00 | 1.03 | 0.97 | 0.00 | 0.36 | 0.51 | 0.00 | -0.03 |
time (sec) |
N/A | 0.016 | 0.503 | 0.088 | 0.000 | 0.502 | 1.157 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 47 | 53 | 0 | 15 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 0.87 | 0.00 | 0.25 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.010 | 0.480 | 0.078 | 0.000 | 0.370 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 27 | 25 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.50 | 4.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.17 |
time (sec) |
N/A | 0.005 | 0.230 | 0.097 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 24 | 28 | 0 | 30 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 1.22 | 0.00 | 1.30 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.017 | 0.489 | 0.091 | 0.000 | 0.222 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 37 | 37 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.20 | 0.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 0.009 | 0.000 | 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 | 19 | 19 | 35 | 37 | 0 | 23 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.84 | 1.95 | 0.00 | 1.21 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.005 | 0.319 | 0.107 | 0.000 | 0.141 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-2) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 95 | 809 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 8.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.089 | 2.298 | 0.328 | 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 | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 95 | 1388 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 14.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.074 | 2.376 | 0.255 | 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 | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 478 | 478 | 102 | 1388 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.21 | 2.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.234 | 2.390 | 0.218 | 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 | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 102 | 872 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 4.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.144 | 2.249 | 0.194 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |