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 | B | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 139 | 143 | 347 | 0 | 0 | 0 | 131 | 0 | 0 |
N.S. |
1 | 1.03 | 2.50 | 0.00 | 0.00 | 0.00 | 0.94 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.938 | 0.000 | 0.000 | 0.000 | 4.378 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 89 | 87 | 56 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 0.98 | 0.63 | 0.00 | 0.00 | 0.00 | 0.44 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 0.056 | 0.000 | 0.000 | 0.000 | 0.708 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 58 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.00 | 0.00 | 0.00 | 0.40 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 0.060 | 0.000 | 0.000 | 0.000 | 4.135 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 62 | 63 | 0 | 0 | 0 | 70 | 0 | 0 |
N.S. |
1 | 1.15 | 1.17 | 0.00 | 0.00 | 0.00 | 1.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.048 | 0.000 | 0.000 | 0.000 | 5.285 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | B | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 146 | 132 | 55 | 0 | 0 | 192 | 1724 | 0 | 64 |
N.S. |
1 | 0.90 | 0.38 | 0.00 | 0.00 | 1.32 | 11.81 | 0.00 | 0.44 |
time (sec) |
N/A | 0.262 | 0.075 | 0.000 | 0.000 | 0.299 | 1.120 | 0.000 | 5.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | B | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 91 | 55 | 0 | 0 | 126 | 695 | 0 | 64 |
N.S. |
1 | 0.95 | 0.57 | 0.00 | 0.00 | 1.31 | 7.24 | 0.00 | 0.67 |
time (sec) |
N/A | 0.222 | 0.058 | 0.000 | 0.000 | 0.305 | 0.928 | 0.000 | 5.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | B | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 55 | 0 | 0 | 68 | 250 | 0 | 64 |
N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 1.36 | 5.00 | 0.00 | 1.28 |
time (sec) |
N/A | 0.176 | 0.052 | 0.000 | 0.000 | 0.282 | 0.769 | 0.000 | 5.960 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 47 | 0 | 31 | 42 | 0 | 75 |
N.S. |
1 | 1.00 | 1.00 | 2.61 | 0.00 | 1.72 | 2.33 | 0.00 | 4.17 |
time (sec) |
N/A | 0.144 | 0.053 | 3.906 | 0.000 | 0.293 | 0.692 | 0.000 | 5.895 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 39 | 50 | 0 | 0 | 0 | 39 | 0 | 51 |
N.S. |
1 | 0.78 | 1.00 | 0.00 | 0.00 | 0.00 | 0.78 | 0.00 | 1.02 |
time (sec) |
N/A | 0.184 | 0.021 | 0.000 | 0.000 | 0.000 | 6.319 | 0.000 | 6.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 53 | 0 | 0 | 0 | 48 | 0 | 54 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.91 | 0.00 | 1.02 |
time (sec) |
N/A | 0.180 | 0.031 | 0.000 | 0.000 | 0.000 | 1.488 | 0.000 | 6.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 55 | 0 | 0 | 0 | 48 | 0 | 56 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.87 | 0.00 | 1.02 |
time (sec) |
N/A | 0.185 | 0.028 | 0.000 | 0.000 | 0.000 | 1.704 | 0.000 | 5.995 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 21 | 25 | 24 | 42 | 24 | 21 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.19 | 1.14 | 2.00 | 1.14 | 1.00 |
time (sec) |
N/A | 0.145 | 0.006 | 0.052 | 0.216 | 0.276 | 0.970 | 0.303 | 6.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 19 | 19 | 22 | 32 | 22 | 18 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.06 | 1.22 | 1.78 | 1.22 | 1.00 |
time (sec) |
N/A | 0.142 | 0.004 | 0.033 | 0.218 | 0.266 | 0.649 | 0.284 | 6.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 19 | 19 | 22 | 32 | 22 | 18 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.06 | 1.22 | 1.78 | 1.22 | 1.00 |
time (sec) |
N/A | 0.140 | 0.003 | 0.028 | 0.235 | 0.428 | 0.550 | 0.301 | 5.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 17 | 17 | 20 | 29 | 20 | 16 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.06 | 1.25 | 1.81 | 1.25 | 1.00 |
time (sec) |
N/A | 0.143 | 0.002 | 0.030 | 0.214 | 0.288 | 0.406 | 0.278 | 6.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 15 | 15 | 18 | 20 | 14 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.07 | 1.29 | 1.43 | 1.00 | 0.00 |
time (sec) |
N/A | 0.141 | 0.002 | 0.030 | 0.198 | 0.271 | 0.117 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 19 | 19 | 22 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.95 | 0.95 | 1.10 | 1.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.143 | 0.004 | 0.027 | 0.215 | 0.288 | 0.508 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 19 | 19 | 22 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.95 | 0.95 | 1.10 | 1.70 | 0.00 | 0.00 |
time (sec) |
N/A | 0.142 | 0.003 | 0.035 | 0.222 | 0.267 | 0.650 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 19 | 19 | 22 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.95 | 0.95 | 1.10 | 1.70 | 0.00 | 0.00 |
time (sec) |
N/A | 0.142 | 0.003 | 0.049 | 0.224 | 0.267 | 0.802 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 29 | 23 | 27 | 78 | 23 | 23 |
N.S. |
1 | 1.00 | 1.00 | 1.26 | 1.00 | 1.17 | 3.39 | 1.00 | 1.00 |
time (sec) |
N/A | 0.150 | 0.035 | 13.949 | 0.197 | 0.271 | 10.759 | 0.304 | 6.146 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 47 | 40 | 61 | 51 | 62 | 274 | 0 | 0 |
N.S. |
1 | 0.96 | 0.82 | 1.24 | 1.04 | 1.27 | 5.59 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 0.078 | 4.301 | 0.213 | 0.275 | 29.350 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 70 | 66 | 105 | 79 | 108 | 770 | 0 | 0 |
N.S. |
1 | 0.93 | 0.88 | 1.40 | 1.05 | 1.44 | 10.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.099 | 4.135 | 0.215 | 0.267 | 91.648 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 95 | 78 | 171 | 114 | 158 | 1669 | 0 | 0 |
N.S. |
1 | 0.92 | 0.76 | 1.66 | 1.11 | 1.53 | 16.20 | 0.00 | 0.00 |
time (sec) |
N/A | 0.235 | 0.142 | 4.134 | 0.226 | 0.254 | 137.670 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 70 | 0 | 53 | 39 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.19 | 0.00 | 1.66 | 1.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.167 | 0.098 | 3.973 | 0.000 | 0.270 | 3.071 | 0.000 | 0.000 |
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 | 24 | 24 | 113 | 136 | 151 | 111 | 221 | 111 | 151 |
N.S. |
1 | 1.00 | 4.71 | 5.67 | 6.29 | 4.62 | 9.21 | 4.62 | 6.29 |
time (sec) |
N/A | 0.151 | 0.022 | 8.654 | 0.202 | 0.266 | 2.000 | 0.335 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 29 | 29 | 37 | 34 | 36 | 0 | 52 |
N.S. |
1 | 1.00 | 0.97 | 0.97 | 1.23 | 1.13 | 1.20 | 0.00 | 1.73 |
time (sec) |
N/A | 0.155 | 0.044 | 4.159 | 0.205 | 0.253 | 93.099 | 0.000 | 6.147 |
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 | 19 | 19 | 108 | 91 | 90 | 90 | 97 | 90 | 92 |
N.S. |
1 | 1.00 | 5.68 | 4.79 | 4.74 | 4.74 | 5.11 | 4.74 | 4.84 |
time (sec) |
N/A | 0.142 | 0.011 | 3.729 | 0.200 | 0.262 | 0.563 | 0.308 | 5.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 26 | 25 | 23 | 28 | 22 | 41 | 0 | 22 |
N.S. |
1 | 1.13 | 1.09 | 1.00 | 1.22 | 0.96 | 1.78 | 0.00 | 0.96 |
time (sec) |
N/A | 0.155 | 0.008 | 3.660 | 0.197 | 0.305 | 0.313 | 0.000 | 0.002 |
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 | 22 | 26 | 22 | 21 | 23 | 18 | 15 | 22 | 18 |
N.S. |
1 | 1.18 | 1.00 | 0.95 | 1.05 | 0.82 | 0.68 | 1.00 | 0.82 |
time (sec) |
N/A | 0.153 | 0.008 | 3.729 | 0.207 | 0.285 | 0.114 | 0.288 | 5.747 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | B | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 132 | 55 | 0 | 0 | 192 | 1911 | 0 | 64 |
N.S. |
1 | 0.90 | 0.37 | 0.00 | 0.00 | 1.31 | 13.00 | 0.00 | 0.44 |
time (sec) |
N/A | 0.265 | 0.033 | 0.000 | 0.000 | 0.281 | 4.438 | 0.000 | 5.968 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | B | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 91 | 55 | 0 | 0 | 126 | 767 | 0 | 64 |
N.S. |
1 | 0.94 | 0.57 | 0.00 | 0.00 | 1.30 | 7.91 | 0.00 | 0.66 |
time (sec) |
N/A | 0.221 | 0.032 | 0.000 | 0.000 | 0.280 | 3.934 | 0.000 | 5.871 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 55 | 88 | 0 | 68 | 241 | 0 | 64 |
N.S. |
1 | 1.00 | 1.08 | 1.73 | 0.00 | 1.33 | 4.73 | 0.00 | 1.25 |
time (sec) |
N/A | 0.185 | 0.022 | 3.767 | 0.000 | 0.268 | 2.679 | 0.000 | 5.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 35 | 0 | 31 | 99 | 0 | 75 |
N.S. |
1 | 1.00 | 1.00 | 1.94 | 0.00 | 1.72 | 5.50 | 0.00 | 4.17 |
time (sec) |
N/A | 0.142 | 0.017 | 4.020 | 0.000 | 0.254 | 2.379 | 0.000 | 6.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 39 | 50 | 0 | 0 | 0 | 39 | 0 | 51 |
N.S. |
1 | 0.78 | 1.00 | 0.00 | 0.00 | 0.00 | 0.78 | 0.00 | 1.02 |
time (sec) |
N/A | 0.183 | 0.003 | 0.000 | 0.000 | 0.000 | 6.218 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 53 | 0 | 0 | 0 | 48 | 0 | 54 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.00 | 0.81 | 0.00 | 0.92 |
time (sec) |
N/A | 0.185 | 0.010 | 0.000 | 0.000 | 0.000 | 2.215 | 0.000 | 6.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 55 | 0 | 0 | 0 | 48 | 0 | 56 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.86 | 0.00 | 1.00 |
time (sec) |
N/A | 0.184 | 0.004 | 0.000 | 0.000 | 0.000 | 2.384 | 0.000 | 5.874 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 16 | 32 | 15 | 39 | 0 | 22 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 2.13 | 1.00 | 2.60 | 0.00 | 1.47 |
time (sec) |
N/A | 0.150 | 0.025 | 3.674 | 0.199 | 0.253 | 0.337 | 0.000 | 5.788 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 25 | 21 | 19 | 18 | 46 | 19 | 19 |
N.S. |
1 | 1.00 | 1.32 | 1.11 | 1.00 | 0.95 | 2.42 | 1.00 | 1.00 |
time (sec) |
N/A | 0.149 | 0.041 | 3.801 | 0.203 | 0.259 | 0.542 | 0.283 | 5.859 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 32 | 27 | 35 | 109 | 26 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.19 | 1.00 | 1.30 | 4.04 | 0.96 | 1.00 |
time (sec) |
N/A | 0.164 | 0.044 | 4.139 | 0.198 | 0.254 | 9.834 | 0.302 | 6.156 |
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 | 71 | 71 | 57 | 70 | 67 | 58 | 94 | 58 | 72 |
N.S. |
1 | 1.00 | 0.80 | 0.99 | 0.94 | 0.82 | 1.32 | 0.82 | 1.01 |
time (sec) |
N/A | 0.212 | 0.089 | 3.925 | 0.214 | 0.259 | 0.389 | 0.311 | 6.009 |
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 | 52 | 52 | 42 | 50 | 48 | 42 | 68 | 42 | 38 |
N.S. |
1 | 1.00 | 0.81 | 0.96 | 0.92 | 0.81 | 1.31 | 0.81 | 0.73 |
time (sec) |
N/A | 0.193 | 0.062 | 4.058 | 0.193 | 0.257 | 0.248 | 0.289 | 5.913 |
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 | 30 | 30 | 26 | 29 | 28 | 25 | 39 | 25 | 23 |
N.S. |
1 | 1.00 | 0.87 | 0.97 | 0.93 | 0.83 | 1.30 | 0.83 | 0.77 |
time (sec) |
N/A | 0.173 | 0.041 | 0.038 | 0.221 | 0.261 | 0.169 | 0.284 | 5.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 61 | 0 | 96 | 124 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.85 | 0.00 | 2.91 | 3.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.160 | 0.049 | 4.069 | 0.000 | 0.536 | 9.444 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 63 | 53 | 95 | 0 | 212 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.79 | 1.42 | 0.00 | 3.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 0.052 | 3.982 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 96 | 35 | 110 | 0 | 340 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.36 | 1.13 | 0.00 | 3.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 0.048 | 3.940 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 136 | 128 | 88 | 0 | 0 | 0 | 107 | 0 | 0 |
N.S. |
1 | 0.94 | 0.65 | 0.00 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 |
time (sec) |
N/A | 0.206 | 0.119 | 0.000 | 0.000 | 0.000 | 49.419 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 98 | 86 | 0 | 0 | 0 | 107 | 0 | 0 |
N.S. |
1 | 0.94 | 0.83 | 0.00 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 0.086 | 0.000 | 0.000 | 0.000 | 5.610 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 68 | 85 | 0 | 0 | 0 | 107 | 0 | 0 |
N.S. |
1 | 0.94 | 1.18 | 0.00 | 0.00 | 0.00 | 1.49 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 0.074 | 0.000 | 0.000 | 0.000 | 1.035 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 66 | 0 | 0 | 0 | 107 | 0 | 0 |
N.S. |
1 | 1.00 | 1.74 | 0.00 | 0.00 | 0.00 | 2.82 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 0.082 | 0.000 | 0.000 | 0.000 | 0.845 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 0 | 0 | 47 | 107 | 0 | 27 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.62 | 3.69 | 0.00 | 0.93 |
time (sec) |
N/A | 0.155 | 0.065 | 0.000 | 0.000 | 0.281 | 1.379 | 0.000 | 5.717 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 46 | 0 | 0 | 93 | 107 | 0 | 39 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 1.43 | 1.65 | 0.00 | 0.60 |
time (sec) |
N/A | 0.198 | 0.112 | 0.000 | 0.000 | 0.384 | 5.512 | 0.000 | 5.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 106 | 61 | 0 | 0 | 135 | 107 | 0 | 54 |
N.S. |
1 | 1.04 | 0.60 | 0.00 | 0.00 | 1.32 | 1.05 | 0.00 | 0.53 |
time (sec) |
N/A | 0.237 | 0.128 | 0.000 | 0.000 | 0.267 | 50.741 | 0.000 | 5.792 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 17 | 16 | 16 | 48 | 16 | 18 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 2.40 | 0.80 | 0.90 |
time (sec) |
N/A | 0.136 | 0.035 | 3.705 | 0.192 | 0.277 | 0.440 | 0.292 | 5.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 19 | 18 | 18 | 58 | 18 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.82 | 0.82 | 2.64 | 0.82 | 0.91 |
time (sec) |
N/A | 0.142 | 0.038 | 3.862 | 0.192 | 0.293 | 0.455 | 0.280 | 5.882 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | B | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 47 | 201 | 71 | 172 | 1148 | 613 | 89 |
N.S. |
1 | 1.00 | 0.73 | 3.14 | 1.11 | 2.69 | 17.94 | 9.58 | 1.39 |
time (sec) |
N/A | 0.200 | 0.046 | 3.819 | 0.217 | 0.276 | 1.449 | 0.289 | 5.707 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 41 | 57 | 56 | 87 | 337 | 135 | 95 |
N.S. |
1 | 1.00 | 0.71 | 0.98 | 0.97 | 1.50 | 5.81 | 2.33 | 1.64 |
time (sec) |
N/A | 0.200 | 0.040 | 4.019 | 0.204 | 0.271 | 0.369 | 0.281 | 5.689 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 41 | 57 | 56 | 87 | 330 | 135 | 95 |
N.S. |
1 | 1.00 | 0.71 | 0.98 | 0.97 | 1.50 | 5.69 | 2.33 | 1.64 |
time (sec) |
N/A | 0.202 | 0.040 | 3.840 | 0.211 | 0.266 | 0.300 | 0.273 | 5.677 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 39 | 57 | 56 | 87 | 323 | 135 | 95 |
N.S. |
1 | 1.00 | 0.67 | 0.98 | 0.97 | 1.50 | 5.57 | 2.33 | 1.64 |
time (sec) |
N/A | 0.194 | 0.036 | 3.737 | 0.208 | 0.263 | 0.256 | 0.276 | 5.817 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 36 | 56 | 51 | 63 | 192 | 0 | 45 |
N.S. |
1 | 1.00 | 0.69 | 1.08 | 0.98 | 1.21 | 3.69 | 0.00 | 0.87 |
time (sec) |
N/A | 0.194 | 0.081 | 0.032 | 0.214 | 0.273 | 0.249 | 0.000 | 5.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 64 | 60 | 56 | 81 | 388 | 0 | 89 |
N.S. |
1 | 1.00 | 1.05 | 0.98 | 0.92 | 1.33 | 6.36 | 0.00 | 1.46 |
time (sec) |
N/A | 0.207 | 0.064 | 0.037 | 0.194 | 0.264 | 0.318 | 0.000 | 5.687 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 67 | 60 | 56 | 87 | 449 | 0 | 97 |
N.S. |
1 | 1.00 | 1.06 | 0.95 | 0.89 | 1.38 | 7.13 | 0.00 | 1.54 |
time (sec) |
N/A | 0.212 | 0.071 | 0.049 | 0.216 | 0.428 | 0.394 | 0.000 | 5.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 74 | 67 | 37 | 0 | 0 | 225 | 58 | 0 | 0 |
N.S. |
1 | 0.91 | 0.50 | 0.00 | 0.00 | 3.04 | 0.78 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 0.016 | 0.000 | 0.000 | 0.279 | 0.665 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 222 | 180 | 39 | 0 | 0 | 329 | 233 | 0 | 0 |
N.S. |
1 | 0.81 | 0.18 | 0.00 | 0.00 | 1.48 | 1.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 0.015 | 0.000 | 0.000 | 0.412 | 1.061 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 317 | 279 | 39 | 0 | 0 | 404 | 318 | 0 | 0 |
N.S. |
1 | 0.88 | 0.12 | 0.00 | 0.00 | 1.27 | 1.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 0.015 | 0.000 | 0.000 | 0.514 | 1.138 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 51 | 43 | 0 | 63 | 59 | 36 | 0 | 0 |
N.S. |
1 | 0.74 | 0.62 | 0.00 | 0.91 | 0.86 | 0.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.018 | 0.000 | 0.210 | 0.282 | 0.910 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 74 | 67 | 37 | 0 | 0 | 225 | 58 | 0 | 0 |
N.S. |
1 | 0.91 | 0.50 | 0.00 | 0.00 | 3.04 | 0.78 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 0.001 | 0.000 | 0.000 | 0.284 | 0.679 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 220 | 175 | 37 | 0 | 0 | 255 | 223 | 0 | 0 |
N.S. |
1 | 0.80 | 0.17 | 0.00 | 0.00 | 1.16 | 1.01 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.015 | 0.000 | 0.000 | 0.275 | 1.046 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 315 | 274 | 37 | 0 | 0 | 298 | 308 | 0 | 0 |
N.S. |
1 | 0.87 | 0.12 | 0.00 | 0.00 | 0.95 | 0.98 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 0.015 | 0.000 | 0.000 | 0.282 | 1.145 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 90 | 39 | 0 | 0 | 492 | 87 | 0 | 0 |
N.S. |
1 | 0.90 | 0.39 | 0.00 | 0.00 | 4.92 | 0.87 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 0.016 | 0.000 | 0.000 | 0.357 | 1.089 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 246 | 198 | 39 | 0 | 0 | 351 | 280 | 0 | 0 |
N.S. |
1 | 0.80 | 0.16 | 0.00 | 0.00 | 1.43 | 1.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 0.015 | 0.000 | 0.000 | 0.548 | 1.090 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 341 | 297 | 39 | 0 | 0 | 430 | 371 | 0 | 0 |
N.S. |
1 | 0.87 | 0.11 | 0.00 | 0.00 | 1.26 | 1.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 0.015 | 0.000 | 0.000 | 1.179 | 1.193 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 0 | 0 | 0 | 117 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 2.66 | 0.00 | 0.00 |
time (sec) |
N/A | 0.167 | 0.043 | 0.000 | 0.000 | 0.000 | 0.561 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 44 | 0 | 0 | 0 | 117 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 2.54 | 0.00 | 0.00 |
time (sec) |
N/A | 0.173 | 0.045 | 0.000 | 0.000 | 0.000 | 0.549 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 0 | 0 | 0 | 117 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 2.66 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 0.046 | 0.000 | 0.000 | 0.000 | 0.554 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 45 | 0 | 0 | 0 | 117 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 2.66 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 0.042 | 0.000 | 0.000 | 0.000 | 0.548 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 36 | 0 | 0 | 0 | 66 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.00 | 1.65 | 0.00 | 0.00 |
time (sec) |
N/A | 0.167 | 0.061 | 0.000 | 0.000 | 0.000 | 0.534 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 29 | 0 | 24 | 20 | 17 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.86 | 0.71 | 0.61 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 0.007 | 0.000 | 0.219 | 0.255 | 0.462 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 44 | 0 | 0 | 0 | 63 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 1.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 0.044 | 0.000 | 0.000 | 0.000 | 0.536 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 44 | 0 | 0 | 0 | 66 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 1.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 0.043 | 0.000 | 0.000 | 0.000 | 0.554 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 31 | 25 | 22 | 22 | 73 | 0 | 29 |
N.S. |
1 | 1.00 | 1.29 | 1.04 | 0.92 | 0.92 | 3.04 | 0.00 | 1.21 |
time (sec) |
N/A | 0.150 | 0.017 | 3.787 | 0.215 | 0.259 | 0.716 | 0.000 | 5.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 178 | 210 | 133 | 0 | 0 | 231 | 190 | 0 | 0 |
N.S. |
1 | 1.18 | 0.75 | 0.00 | 0.00 | 1.30 | 1.07 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 0.199 | 0.000 | 0.000 | 0.283 | 7.734 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 137 | 158 | 121 | 0 | 0 | 192 | 150 | 0 | 0 |
N.S. |
1 | 1.15 | 0.88 | 0.00 | 0.00 | 1.40 | 1.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 0.095 | 0.000 | 0.000 | 0.305 | 2.784 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 91 | 104 | 110 | 0 | 0 | 142 | 66 | 0 | 0 |
N.S. |
1 | 1.14 | 1.21 | 0.00 | 0.00 | 1.56 | 0.73 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 0.059 | 0.000 | 0.000 | 0.296 | 1.404 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 78 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 1.44 | 0.00 | 0.00 | 0.00 | 0.57 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.070 | 0.000 | 0.000 | 0.000 | 0.722 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 0 | 0 | 0 | 31 | 0 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.153 | 0.015 | 0.000 | 0.000 | 0.000 | 0.516 | 0.000 | 5.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 41 | 0 | 0 | 0 | 71 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 0.00 | 0.00 | 0.00 | 1.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.179 | 0.020 | 0.000 | 0.000 | 0.000 | 0.606 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 104 | 56 | 0 | 0 | 0 | 405 | 0 | 0 |
N.S. |
1 | 1.06 | 0.57 | 0.00 | 0.00 | 0.00 | 4.13 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 0.027 | 0.000 | 0.000 | 0.000 | 0.810 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 145 | 69 | 0 | 0 | 0 | 677 | 0 | 0 |
N.S. |
1 | 1.12 | 0.53 | 0.00 | 0.00 | 0.00 | 5.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 0.030 | 0.000 | 0.000 | 0.000 | 1.022 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 67 | 64 | 0 | 0 | 0 | 73 | 0 | 0 |
N.S. |
1 | 1.14 | 1.08 | 0.00 | 0.00 | 0.00 | 1.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.019 | 0.000 | 0.000 | 0.000 | 5.246 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 66 | 62 | 0 | 0 | 0 | 63 | 0 | 0 |
N.S. |
1 | 1.18 | 1.11 | 0.00 | 0.00 | 0.00 | 1.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.045 | 0.000 | 0.000 | 0.000 | 4.248 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 66 | 62 | 0 | 0 | 0 | 63 | 0 | 0 |
N.S. |
1 | 1.18 | 1.11 | 0.00 | 0.00 | 0.00 | 1.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 0.046 | 0.000 | 0.000 | 0.000 | 4.314 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 52 | 62 | 58 | 0 | 0 | 0 | 60 | 0 | 0 |
N.S. |
1 | 1.19 | 1.12 | 0.00 | 0.00 | 0.00 | 1.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.038 | 0.000 | 0.000 | 0.000 | 4.047 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 46 | 46 | 0 | 0 | 0 | 46 | 0 | 47 |
N.S. |
1 | 1.21 | 1.21 | 0.00 | 0.00 | 0.00 | 1.21 | 0.00 | 1.24 |
time (sec) |
N/A | 0.174 | 0.018 | 0.000 | 0.000 | 0.000 | 0.884 | 0.000 | 6.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 64 | 59 | 0 | 0 | 0 | 70 | 0 | 0 |
N.S. |
1 | 1.21 | 1.11 | 0.00 | 0.00 | 0.00 | 1.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.045 | 0.000 | 0.000 | 0.000 | 4.194 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 66 | 63 | 0 | 0 | 0 | 76 | 0 | 0 |
N.S. |
1 | 1.18 | 1.12 | 0.00 | 0.00 | 0.00 | 1.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 0.047 | 0.000 | 0.000 | 0.000 | 4.210 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 66 | 63 | 0 | 0 | 0 | 76 | 0 | 0 |
N.S. |
1 | 1.18 | 1.12 | 0.00 | 0.00 | 0.00 | 1.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 0.047 | 0.000 | 0.000 | 0.000 | 4.210 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 52 | 63 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 0.83 | 1.00 | 0.00 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 0.046 | 0.000 | 0.000 | 0.000 | 1.995 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 74 | 0 | 75 | 49 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.00 | 0.00 | 2.03 | 1.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 0.030 | 4.304 | 0.000 | 0.260 | 4.201 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 69 | 0 | 0 | 144 | 172 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 1.82 | 2.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.104 | 0.000 | 0.000 | 0.279 | 4.354 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 69 | 0 | 0 | 215 | 566 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.00 | 0.00 | 1.69 | 4.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 0.106 | 0.000 | 0.000 | 0.286 | 4.573 | 0.000 | 0.000 |