Detailed conclusion table per each integral is given by the 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 as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 88 | 77 | 0 | 177 | 0 | 59 | 0 |
N.S. |
1 | 1.00 | 0.69 | 0.60 | 0.00 | 1.38 | 0.00 | 0.46 | 0.00 |
time (sec) |
N/A | 0.020 | 0.047 | 0.191 | 0.000 | 0.255 | 0.000 | 0.316 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 59 | 58 | 0 | 147 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.64 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.031 | 0.070 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 49 | 0 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.009 | 0.012 | 0.000 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 25 | 33 | 0 | 34 | 0 | 0 | 34 |
N.S. |
1 | 1.00 | 0.74 | 0.97 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.006 | 0.008 | 0.085 | 0.000 | 0.251 | 0.000 | 0.000 | 13.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 70 | 38 | 44 | 0 | 58 | 0 | 0 | 45 |
N.S. |
1 | 1.03 | 0.56 | 0.65 | 0.00 | 0.85 | 0.00 | 0.00 | 0.66 |
time (sec) |
N/A | 0.010 | 0.010 | 0.078 | 0.000 | 0.242 | 0.000 | 0.000 | 13.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 107 | 49 | 55 | 0 | 80 | 0 | 0 | 56 |
N.S. |
1 | 1.02 | 0.47 | 0.52 | 0.00 | 0.76 | 0.00 | 0.00 | 0.53 |
time (sec) |
N/A | 0.015 | 0.081 | 0.076 | 0.000 | 0.262 | 0.000 | 0.000 | 13.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 148 | 60 | 66 | 0 | 102 | 0 | 0 | 141 |
N.S. |
1 | 1.10 | 0.44 | 0.49 | 0.00 | 0.76 | 0.00 | 0.00 | 1.04 |
time (sec) |
N/A | 0.022 | 0.026 | 0.076 | 0.000 | 0.260 | 0.000 | 0.000 | 12.955 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 299 | 81 | 37 | 0 | 583 | 63 | 75 | 872 |
N.S. |
1 | 1.00 | 0.27 | 0.12 | 0.00 | 1.95 | 0.21 | 0.25 | 2.92 |
time (sec) |
N/A | 0.222 | 0.034 | 0.103 | 0.000 | 0.260 | 0.397 | 0.282 | 13.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 43 | 32 | 0 | 269 | 257 | 31 | 85 |
N.S. |
1 | 1.00 | 0.91 | 0.68 | 0.00 | 5.72 | 5.47 | 0.66 | 1.81 |
time (sec) |
N/A | 0.018 | 0.021 | 0.043 | 0.000 | 0.273 | 0.330 | 0.261 | 0.109 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 299 | 52 | 37 | 0 | 407 | 48 | 0 | 469 |
N.S. |
1 | 1.00 | 0.17 | 0.12 | 0.00 | 1.36 | 0.16 | 0.00 | 1.57 |
time (sec) |
N/A | 0.227 | 0.023 | 0.099 | 0.000 | 0.248 | 0.304 | 0.000 | 12.983 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 37 | 26 | 25 | 25 | 26 | 29 | 11 |
N.S. |
1 | 1.00 | 2.18 | 1.53 | 1.47 | 1.47 | 1.53 | 1.71 | 0.65 |
time (sec) |
N/A | 0.004 | 0.006 | 0.027 | 0.197 | 0.243 | 0.081 | 0.286 | 0.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 18 | 17 | 17 | 20 | 17 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 0.71 | 0.71 | 0.83 | 0.71 | 0.71 |
time (sec) |
N/A | 0.004 | 0.009 | 0.045 | 0.282 | 0.259 | 0.073 | 0.287 | 12.827 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 91 | 54 | 53 | 53 | 70 | 53 | 83 |
N.S. |
1 | 1.00 | 1.36 | 0.81 | 0.79 | 0.79 | 1.04 | 0.79 | 1.24 |
time (sec) |
N/A | 0.029 | 0.064 | 0.039 | 0.286 | 0.247 | 0.106 | 0.281 | 12.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 77 | 35 | 0 | 157 | 63 | 56 | 47 |
N.S. |
1 | 1.00 | 1.04 | 0.47 | 0.00 | 2.12 | 0.85 | 0.76 | 0.64 |
time (sec) |
N/A | 0.026 | 0.058 | 0.046 | 0.000 | 0.249 | 0.091 | 0.289 | 0.109 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 41 | 31 | 0 | 85 | 899 | 143 | 210 |
N.S. |
1 | 1.00 | 0.23 | 0.18 | 0.00 | 0.48 | 5.11 | 0.81 | 1.19 |
time (sec) |
N/A | 0.112 | 0.040 | 0.083 | 0.000 | 0.261 | 0.597 | 0.478 | 13.206 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 65 | 51 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 6.50 | 5.10 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 10.022 | 0.540 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 49 | 84 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 1.75 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.084 | 10.047 | 0.368 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 53 | 80 | 0 | 41 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 1.67 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.066 | 10.048 | 0.364 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 49 | 84 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.11 | 1.91 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.047 | 10.039 | 0.374 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 63 | 41 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.25 | 3.42 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.025 | 0.312 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 18 | 0 | 17 | 37 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.00 | 0.94 | 2.06 | 0.00 | 0.89 |
time (sec) |
N/A | 0.004 | 10.097 | 0.359 | 0.000 | 0.073 | 0.361 | 0.000 | 13.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 49 | 0 | 17 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.45 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.030 | 0.332 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 51 | 84 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.21 | 2.00 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 10.051 | 0.365 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 55 | 80 | 0 | 41 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 1.74 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.061 | 10.057 | 0.359 | 0.000 | 0.078 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 49 | 84 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 1.75 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.060 | 10.048 | 0.349 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 54 | 50 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.00 | 2.78 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 10.034 | 0.329 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 52 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 1.87 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.043 | 10.047 | 0.378 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 43 | 84 | 0 | 51 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 1.91 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.082 | 10.041 | 0.318 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 65 | 51 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 6.50 | 5.10 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 10.026 | 0.298 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 51 | 84 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 1.91 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.051 | 10.043 | 0.323 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 50 | 84 | 0 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.11 | 1.87 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.043 | 10.046 | 0.324 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 49 | 84 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.11 | 1.91 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.038 | 10.037 | 0.314 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 47 | 0 | 17 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.35 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.033 | 0.301 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 18 | 0 | 35 | 37 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.00 | 1.94 | 2.06 | 0.00 | 0.89 |
time (sec) |
N/A | 0.005 | 10.035 | 0.290 | 0.000 | 0.073 | 0.370 | 0.000 | 12.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 65 | 43 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.42 | 3.58 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.025 | 0.300 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 51 | 84 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.21 | 2.00 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.039 | 10.036 | 0.325 | 0.000 | 0.078 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 52 | 84 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.21 | 1.95 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.025 | 10.045 | 0.329 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 51 | 84 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 1.91 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.052 | 10.045 | 0.316 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 54 | 50 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.00 | 2.78 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.027 | 0.619 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 45 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.07 | 2.00 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.064 | 10.043 | 0.605 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 52 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 1.87 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.036 | 10.042 | 0.621 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 54 | 53 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.79 | 0.00 | 0.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 10.037 | 0.605 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 81 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.60 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.024 | 10.053 | 0.539 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 83 | 84 | 0 | 41 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.58 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.026 | 10.056 | 0.589 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 83 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.59 | 0.60 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.021 | 10.045 | 0.578 | 0.000 | 0.078 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 48 | 43 | 0 | 23 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 0.68 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.006 | 10.027 | 0.520 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 40 | 40 | 0 | 23 | 34 | 0 | 31 |
N.S. |
1 | 1.00 | 0.35 | 0.35 | 0.00 | 0.20 | 0.30 | 0.00 | 0.27 |
time (sec) |
N/A | 0.010 | 10.035 | 0.535 | 0.000 | 0.073 | 0.375 | 0.000 | 0.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 60 | 53 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.82 | 0.00 | 0.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 10.028 | 0.581 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 81 | 84 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 0.57 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.018 | 10.042 | 0.577 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 81 | 84 | 0 | 41 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.55 | 0.00 | 0.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.022 | 10.054 | 0.582 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 81 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 0.57 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.022 | 10.056 | 0.591 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 65 | 53 | 0 | 17 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.84 | 0.00 | 0.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 10.029 | 0.585 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 80 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.57 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.021 | 10.047 | 0.638 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 77 | 84 | 0 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 0.57 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 10.048 | 0.574 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 54 | 53 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.79 | 0.00 | 0.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.028 | 0.518 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 83 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.57 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.018 | 10.048 | 0.602 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 80 | 84 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 0.58 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.018 | 10.050 | 0.614 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 83 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.58 | 0.59 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 10.047 | 0.580 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 63 | 51 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.00 | 0.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.006 | 10.027 | 0.625 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 40 | 40 | 0 | 35 | 34 | 0 | 31 |
N.S. |
1 | 1.00 | 0.36 | 0.36 | 0.00 | 0.31 | 0.30 | 0.00 | 0.28 |
time (sec) |
N/A | 0.010 | 10.031 | 0.660 | 0.000 | 0.075 | 0.358 | 0.000 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 51 | 45 | 0 | 23 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.69 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 10.025 | 0.563 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 81 | 84 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.56 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 10.042 | 0.566 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 78 | 84 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.55 | 0.00 | 0.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.016 | 10.047 | 0.597 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 83 | 84 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.54 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.017 | 10.051 | 0.592 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 65 | 53 | 0 | 17 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.84 | 0.00 | 0.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 10.025 | 0.563 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 58 | 44 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.85 | 0.00 | 0.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 10.028 | 0.730 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.97 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 10.070 | 0.611 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.57 | 0.95 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 10.082 | 0.628 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.57 | 0.95 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.011 | 10.061 | 0.620 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 142 | 85 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.61 | 0.97 | 0.00 | 0.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.010 | 10.066 | 0.626 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 25 | 18 | 0 | 17 | 36 | 0 | 16 |
N.S. |
1 | 1.00 | 0.35 | 0.25 | 0.00 | 0.24 | 0.50 | 0.00 | 0.22 |
time (sec) |
N/A | 0.005 | 10.036 | 0.606 | 0.000 | 0.071 | 0.355 | 0.000 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.97 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.011 | 10.057 | 0.605 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.97 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 10.067 | 0.632 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.97 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.011 | 10.082 | 0.644 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.64 | 0.99 | 0.00 | 0.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.009 | 10.062 | 0.600 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 53 | 42 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.58 | 0.46 | 0.00 | 0.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 10.024 | 0.581 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 85 | 82 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.91 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 10.069 | 0.607 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 97 | 82 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.75 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.058 | 10.059 | 0.684 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 98 | 82 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.75 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.054 | 10.063 | 0.658 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 61 | 50 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.83 | 0.00 | 0.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 10.025 | 0.596 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 90 | 82 | 0 | 34 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.79 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.048 | 10.067 | 0.628 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 58 | 50 | 0 | 17 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.96 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 10.026 | 0.806 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.97 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 10.072 | 0.623 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 142 | 87 | 0 | 52 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.54 | 0.95 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.082 | 0.629 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.57 | 0.95 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.009 | 10.064 | 0.630 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 140 | 85 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.59 | 0.97 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 10.057 | 0.641 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 25 | 18 | 0 | 35 | 36 | 0 | 16 |
N.S. |
1 | 1.00 | 0.35 | 0.25 | 0.00 | 0.49 | 0.50 | 0.00 | 0.22 |
time (sec) |
N/A | 0.005 | 10.036 | 0.622 | 0.000 | 0.076 | 0.355 | 0.000 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 142 | 87 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.58 | 0.97 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.010 | 10.056 | 0.602 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.97 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.062 | 0.623 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 142 | 87 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.58 | 0.97 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.073 | 0.632 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 144 | 87 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.64 | 0.99 | 0.00 | 0.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 10.065 | 0.622 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 53 | 42 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.58 | 0.46 | 0.00 | 0.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.026 | 0.600 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 81 | 82 | 0 | 36 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.91 | 0.00 | 0.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.067 | 0.625 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 58 | 49 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 0.53 | 0.00 | 0.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.010 | 10.024 | 0.624 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 58 | 48 | 0 | 16 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.05 | 2.53 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.010 | 10.022 | 0.587 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 81 | 82 | 0 | 44 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.84 | 1.86 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.051 | 10.029 | 0.582 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 53 | 50 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.79 | 3.57 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.009 | 10.025 | 0.577 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 144 | 87 | 0 | 47 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.64 | 0.99 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 10.042 | 0.555 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 142 | 87 | 0 | 61 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.58 | 0.97 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.058 | 0.588 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 144 | 87 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.60 | 0.97 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 10.048 | 0.579 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |