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 | F(-1) | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 144 | 79 | 0 | 0 | 138 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.62 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 0.852 | 180.000 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 104 | 76 | 210 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.78 | 2.14 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.408 | 0.086 | 3.615 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 142 | 73 | 233 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.58 | 1.86 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.552 | 0.275 | 4.563 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 71 | 220 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.71 | 2.20 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.436 | 0.227 | 3.905 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 108 | 63 | 207 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.65 | 2.13 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.436 | 0.197 | 3.197 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 74 | 58 | 210 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.81 | 2.92 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.341 | 0.190 | 2.570 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 74 | 51 | 187 | 0 | 79 | 0 | 0 | 58 |
N.S. |
1 | 1.07 | 0.74 | 2.71 | 0.00 | 1.14 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.328 | 0.152 | 1.791 | 0.000 | 0.094 | 0.000 | 0.000 | 13.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 141 | 0 | 66 | 0 | 0 | 33 |
N.S. |
1 | 1.00 | 1.00 | 3.44 | 0.00 | 1.61 | 0.00 | 0.00 | 0.80 |
time (sec) |
N/A | 0.248 | 0.016 | 1.725 | 0.000 | 0.095 | 0.000 | 0.000 | 0.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 54 | 0 | 60 | 0 | 0 | 33 |
N.S. |
1 | 1.00 | 1.00 | 1.42 | 0.00 | 1.58 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.236 | 0.016 | 0.476 | 0.000 | 0.088 | 0.000 | 0.000 | 0.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 70 | 47 | 195 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.72 | 3.00 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.353 | 0.063 | 1.904 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 76 | 48 | 238 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.72 | 3.55 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.365 | 0.094 | 1.790 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 108 | 65 | 367 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.67 | 3.78 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.467 | 0.231 | 2.418 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 112 | 63 | 267 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.66 | 2.81 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.461 | 0.256 | 2.524 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 144 | 77 | 413 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.62 | 3.30 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.580 | 0.447 | 3.185 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 142 | 76 | 236 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.59 | 1.84 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.566 | 0.423 | 5.527 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 74 | 223 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.74 | 2.23 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.443 | 0.279 | 4.592 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 66 | 210 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.66 | 2.10 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 0.215 | 3.416 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 74 | 61 | 213 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.85 | 2.96 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 0.188 | 2.853 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 74 | 54 | 190 | 0 | 79 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.75 | 2.64 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 0.186 | 2.251 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 144 | 0 | 66 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 3.51 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.246 | 0.018 | 2.027 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 144 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 3.51 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.253 | 0.025 | 1.393 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 50 | 198 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 2.91 | 0.00 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.320 | 0.032 | 1.742 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 74 | 51 | 241 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.74 | 3.49 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.353 | 0.055 | 2.150 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 108 | 68 | 367 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.69 | 3.74 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.467 | 0.133 | 2.653 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 112 | 66 | 398 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.68 | 4.10 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.464 | 0.257 | 2.339 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 144 | 80 | 416 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.63 | 3.30 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.581 | 0.346 | 3.118 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 142 | 76 | 236 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.59 | 1.84 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.553 | 0.632 | 5.879 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 74 | 223 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.74 | 2.23 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.436 | 0.515 | 4.423 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 66 | 210 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.66 | 2.10 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 0.318 | 3.774 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 74 | 61 | 213 | 0 | 91 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.85 | 2.96 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.341 | 0.229 | 2.813 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 74 | 54 | 190 | 0 | 79 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.75 | 2.64 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.343 | 0.213 | 2.445 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 144 | 0 | 66 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 3.51 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 0.018 | 1.914 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 38 | 144 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 3.51 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.249 | 0.197 | 1.387 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 72 | 50 | 198 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.74 | 2.91 | 0.00 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.040 | 1.742 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 51 | 241 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 3.35 | 0.00 | 1.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.317 | 0.046 | 1.664 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 106 | 68 | 367 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.70 | 3.78 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.441 | 0.100 | 2.785 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 112 | 66 | 398 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.67 | 4.06 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.461 | 0.169 | 2.233 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 144 | 80 | 416 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.64 | 3.33 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.590 | 0.394 | 3.171 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 104 | 68 | 367 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.68 | 3.67 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.417 | 0.015 | 2.587 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 74 | 55 | 62 | 49 | 176 | 0 | 203 | 75 |
N.S. |
1 | 0.76 | 0.56 | 0.63 | 0.50 | 1.80 | 0.00 | 2.07 | 0.77 |
time (sec) |
N/A | 0.285 | 0.244 | 3.099 | 0.393 | 0.343 | 0.000 | 2.076 | 14.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 48 | 45 | 40 | 42 | 39 | 0 | 71047 | 57 |
N.S. |
1 | 0.69 | 0.64 | 0.57 | 0.60 | 0.56 | 0.00 | 1014.96 | 0.81 |
time (sec) |
N/A | 0.228 | 0.101 | 3.174 | 0.459 | 0.303 | 0.000 | 9.095 | 0.815 |
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 | 63 | 48 | 45 | 42 | 25 | 150 | 121 | 105 | 62 |
N.S. |
1 | 0.76 | 0.71 | 0.67 | 0.40 | 2.38 | 1.92 | 1.67 | 0.98 |
time (sec) |
N/A | 0.213 | 0.153 | 3.069 | 0.388 | 0.342 | 32.912 | 1.465 | 14.574 |
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 | 32 | 32 | 32 | 29 | 13 | 28 | 60 | 31 | 44 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.41 | 0.88 | 1.88 | 0.97 | 1.38 |
time (sec) |
N/A | 0.197 | 0.116 | 3.070 | 0.439 | 0.281 | 1.301 | 0.540 | 14.172 |
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 | 24 | 24 | 24 | 21 | 26 | 94 | 22 | 0 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 1.08 | 3.92 | 0.92 | 0.00 | 0.83 |
time (sec) |
N/A | 0.148 | 0.030 | 2.269 | 0.337 | 0.295 | 0.615 | 0.000 | 0.109 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 40 | 65 | 113 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.21 | 1.97 | 3.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.015 | 3.228 | 0.449 | 0.390 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 29 | 54 | 28 | 0 | 0 | 59 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 1.69 | 0.88 | 0.00 | 0.00 | 1.84 |
time (sec) |
N/A | 0.218 | 0.024 | 2.915 | 0.436 | 0.267 | 0.000 | 0.000 | 14.109 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 57 | 52 | 84 | 661 | 201 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.72 | 1.17 | 9.18 | 2.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.054 | 3.088 | 0.443 | 0.341 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 48 | 45 | 42 | 294 | 41 | 0 | 0 | 128 |
N.S. |
1 | 0.69 | 0.64 | 0.60 | 4.20 | 0.59 | 0.00 | 0.00 | 1.83 |
time (sec) |
N/A | 0.245 | 0.098 | 2.960 | 0.447 | 0.305 | 0.000 | 0.000 | 16.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 83 | 66 | 103 | 1656 | 227 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 0.62 | 0.96 | 15.48 | 2.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.380 | 0.126 | 2.977 | 0.483 | 0.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 75 | 55 | 63 | 53 | 183 | 0 | 204 | 76 |
N.S. |
1 | 0.74 | 0.54 | 0.62 | 0.52 | 1.81 | 0.00 | 2.02 | 0.75 |
time (sec) |
N/A | 0.284 | 0.203 | 2.814 | 0.399 | 0.311 | 0.000 | 2.432 | 14.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 49 | 45 | 41 | 45 | 43 | 0 | 71048 | 58 |
N.S. |
1 | 0.68 | 0.62 | 0.57 | 0.62 | 0.60 | 0.00 | 986.78 | 0.81 |
time (sec) |
N/A | 0.229 | 0.138 | 2.793 | 0.398 | 0.281 | 0.000 | 11.242 | 0.680 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 49 | 45 | 43 | 28 | 153 | 0 | 106 | 63 |
N.S. |
1 | 0.75 | 0.69 | 0.66 | 0.43 | 2.35 | 0.00 | 1.63 | 0.97 |
time (sec) |
N/A | 0.212 | 0.147 | 3.043 | 0.395 | 0.391 | 0.000 | 1.198 | 14.497 |
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 | 33 | 33 | 32 | 30 | 13 | 29 | 46 | 0 | 29 |
N.S. |
1 | 1.00 | 0.97 | 0.91 | 0.39 | 0.88 | 1.39 | 0.00 | 0.88 |
time (sec) |
N/A | 0.202 | 0.131 | 2.968 | 0.370 | 0.297 | 15.888 | 0.000 | 0.256 |
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 | 25 | 25 | 25 | 22 | 26 | 95 | 22 | 0 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 1.04 | 3.80 | 0.88 | 0.00 | 0.84 |
time (sec) |
N/A | 0.154 | 0.042 | 2.402 | 0.368 | 0.327 | 9.452 | 0.000 | 13.482 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 33 | 41 | 68 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.21 | 2.00 | 3.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 0.019 | 2.773 | 0.422 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 32 | 30 | 54 | 29 | 0 | 0 | 60 |
N.S. |
1 | 1.00 | 0.97 | 0.91 | 1.64 | 0.88 | 0.00 | 0.00 | 1.82 |
time (sec) |
N/A | 0.221 | 0.024 | 2.845 | 0.403 | 0.282 | 0.000 | 0.000 | 13.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 58 | 52 | 85 | 691 | 204 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 0.70 | 1.15 | 9.34 | 2.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 0.057 | 2.869 | 0.438 | 0.339 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 49 | 45 | 43 | 299 | 42 | 0 | 0 | 129 |
N.S. |
1 | 0.68 | 0.62 | 0.60 | 4.15 | 0.58 | 0.00 | 0.00 | 1.79 |
time (sec) |
N/A | 0.232 | 0.071 | 2.771 | 0.414 | 0.283 | 0.000 | 0.000 | 15.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 84 | 67 | 104 | 1742 | 234 | 0 | 0 | 0 |
N.S. |
1 | 0.76 | 0.61 | 0.95 | 15.84 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.367 | 0.103 | 3.033 | 0.481 | 0.391 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 63 | 57 | 55 | 77 | 61 | 0 | 0 | 73 |
N.S. |
1 | 0.54 | 0.49 | 0.47 | 0.66 | 0.53 | 0.00 | 0.00 | 0.63 |
time (sec) |
N/A | 0.232 | 0.164 | 3.744 | 0.406 | 0.297 | 0.000 | 0.000 | 15.647 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 77 | 55 | 65 | 59 | 193 | 0 | 203 | 78 |
N.S. |
1 | 0.72 | 0.51 | 0.61 | 0.55 | 1.80 | 0.00 | 1.90 | 0.73 |
time (sec) |
N/A | 0.285 | 0.257 | 2.881 | 0.403 | 0.299 | 0.000 | 2.478 | 15.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 45 | 43 | 49 | 47 | 0 | 71047 | 60 |
N.S. |
1 | 0.67 | 0.59 | 0.57 | 0.64 | 0.62 | 0.00 | 934.83 | 0.79 |
time (sec) |
N/A | 0.224 | 0.152 | 2.898 | 0.430 | 0.276 | 0.000 | 8.371 | 0.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 51 | 45 | 45 | 32 | 159 | 0 | 0 | 40 |
N.S. |
1 | 0.74 | 0.65 | 0.65 | 0.46 | 2.30 | 0.00 | 0.00 | 0.58 |
time (sec) |
N/A | 0.209 | 0.170 | 3.197 | 0.448 | 0.326 | 0.000 | 0.000 | 0.420 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 32 | 13 | 31 | 0 | 0 | 31 |
N.S. |
1 | 1.00 | 0.91 | 0.91 | 0.37 | 0.89 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.197 | 0.145 | 2.743 | 0.412 | 0.345 | 0.000 | 0.000 | 14.423 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 24 | 24 | 26 | 97 | 0 | 0 | 23 |
N.S. |
1 | 1.00 | 0.89 | 0.89 | 0.96 | 3.59 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.149 | 0.047 | 2.335 | 0.381 | 0.309 | 0.000 | 0.000 | 0.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 43 | 72 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.19 | 2.00 | 3.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 0.026 | 2.652 | 0.408 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 32 | 54 | 31 | 0 | 0 | 62 |
N.S. |
1 | 1.00 | 0.91 | 0.91 | 1.54 | 0.89 | 0.00 | 0.00 | 1.77 |
time (sec) |
N/A | 0.222 | 0.023 | 2.753 | 0.418 | 0.285 | 0.000 | 0.000 | 14.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 60 | 52 | 87 | 747 | 210 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 0.67 | 1.12 | 9.58 | 2.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.291 | 0.065 | 2.814 | 0.399 | 0.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 45 | 45 | 311 | 46 | 0 | 0 | 131 |
N.S. |
1 | 0.67 | 0.59 | 0.59 | 4.09 | 0.61 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.245 | 0.066 | 2.666 | 0.383 | 0.352 | 0.000 | 0.000 | 14.507 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 86 | 66 | 106 | 1914 | 244 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 0.57 | 0.91 | 16.50 | 2.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.387 | 0.151 | 3.241 | 0.505 | 0.319 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 60 | 57 | 52 | 68 | 54 | 0 | 0 | 73 |
N.S. |
1 | 0.56 | 0.53 | 0.49 | 0.64 | 0.50 | 0.00 | 0.00 | 0.68 |
time (sec) |
N/A | 0.226 | 0.118 | 2.912 | 0.412 | 0.277 | 0.000 | 0.000 | 14.695 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 74 | 55 | 62 | 49 | 182 | 0 | 0 | 78 |
N.S. |
1 | 0.76 | 0.56 | 0.63 | 0.50 | 1.86 | 0.00 | 0.00 | 0.80 |
time (sec) |
N/A | 0.279 | 0.245 | 3.167 | 0.394 | 0.297 | 0.000 | 0.000 | 14.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 48 | 45 | 40 | 42 | 42 | 0 | 0 | 60 |
N.S. |
1 | 0.69 | 0.64 | 0.57 | 0.60 | 0.60 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.226 | 0.087 | 2.980 | 0.401 | 0.303 | 0.000 | 0.000 | 0.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 48 | 45 | 42 | 25 | 157 | 0 | 0 | 65 |
N.S. |
1 | 0.76 | 0.71 | 0.67 | 0.40 | 2.49 | 0.00 | 0.00 | 1.03 |
time (sec) |
N/A | 0.208 | 0.163 | 3.095 | 0.403 | 0.305 | 0.000 | 0.000 | 14.015 |
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 | 32 | 32 | 32 | 29 | 13 | 31 | 46 | 0 | 47 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.41 | 0.97 | 1.44 | 0.00 | 1.47 |
time (sec) |
N/A | 0.200 | 0.123 | 2.837 | 0.378 | 0.284 | 18.278 | 0.000 | 14.623 |
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 | 24 | 24 | 24 | 21 | 26 | 97 | 22 | 0 | 37 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 1.08 | 4.04 | 0.92 | 0.00 | 1.54 |
time (sec) |
N/A | 0.148 | 0.029 | 2.344 | 0.308 | 0.302 | 0.670 | 0.000 | 0.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 40 | 65 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.21 | 1.97 | 3.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.017 | 2.879 | 0.394 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 29 | 59 | 31 | 0 | 0 | 62 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 1.84 | 0.97 | 0.00 | 0.00 | 1.94 |
time (sec) |
N/A | 0.210 | 0.026 | 2.850 | 0.377 | 0.292 | 0.000 | 0.000 | 14.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 57 | 52 | 84 | 661 | 207 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.72 | 1.17 | 9.18 | 2.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 0.040 | 3.315 | 0.414 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 48 | 45 | 42 | 294 | 44 | 0 | 0 | 131 |
N.S. |
1 | 0.69 | 0.64 | 0.60 | 4.20 | 0.63 | 0.00 | 0.00 | 1.87 |
time (sec) |
N/A | 0.230 | 0.101 | 2.827 | 0.408 | 0.350 | 0.000 | 0.000 | 15.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 83 | 66 | 103 | 1656 | 233 | 0 | 0 | 0 |
N.S. |
1 | 0.78 | 0.62 | 0.96 | 15.48 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.374 | 0.072 | 3.283 | 0.412 | 0.344 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 77 | 55 | 65 | 49 | 182 | 0 | 0 | 78 |
N.S. |
1 | 0.72 | 0.51 | 0.61 | 0.46 | 1.70 | 0.00 | 0.00 | 0.73 |
time (sec) |
N/A | 0.282 | 0.411 | 2.847 | 0.413 | 0.329 | 0.000 | 0.000 | 15.224 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 45 | 43 | 42 | 42 | 0 | 0 | 60 |
N.S. |
1 | 0.67 | 0.59 | 0.57 | 0.55 | 0.55 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.231 | 0.077 | 3.059 | 0.369 | 0.358 | 0.000 | 0.000 | 0.689 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 51 | 45 | 45 | 25 | 157 | 0 | 0 | 65 |
N.S. |
1 | 0.74 | 0.65 | 0.65 | 0.36 | 2.28 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.213 | 0.185 | 2.905 | 0.397 | 0.300 | 0.000 | 0.000 | 14.867 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 32 | 13 | 31 | 0 | 0 | 47 |
N.S. |
1 | 1.00 | 0.91 | 0.91 | 0.37 | 0.89 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.203 | 0.150 | 2.868 | 0.374 | 0.279 | 0.000 | 0.000 | 0.353 |
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 | 27 | 27 | 27 | 24 | 26 | 97 | 22 | 0 | 37 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.96 | 3.59 | 0.81 | 0.00 | 1.37 |
time (sec) |
N/A | 0.152 | 0.036 | 2.253 | 0.325 | 0.411 | 10.108 | 0.000 | 0.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 43 | 65 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.19 | 1.81 | 3.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.018 | 2.938 | 0.366 | 0.312 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 32 | 67 | 31 | 0 | 0 | 62 |
N.S. |
1 | 1.00 | 0.91 | 0.91 | 1.91 | 0.89 | 0.00 | 0.00 | 1.77 |
time (sec) |
N/A | 0.215 | 0.019 | 2.985 | 0.394 | 0.298 | 0.000 | 0.000 | 14.559 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 60 | 52 | 87 | 670 | 207 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 0.67 | 1.12 | 8.59 | 2.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 0.040 | 2.896 | 0.395 | 0.346 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 45 | 45 | 311 | 44 | 0 | 0 | 131 |
N.S. |
1 | 0.67 | 0.59 | 0.59 | 4.09 | 0.58 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.234 | 0.049 | 3.241 | 0.413 | 0.266 | 0.000 | 0.000 | 16.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 86 | 66 | 106 | 1679 | 233 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 0.57 | 0.91 | 14.47 | 2.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.385 | 0.055 | 2.937 | 0.418 | 0.332 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 77 | 58 | 65 | 49 | 182 | 0 | 0 | 78 |
N.S. |
1 | 0.72 | 0.54 | 0.61 | 0.46 | 1.70 | 0.00 | 0.00 | 0.73 |
time (sec) |
N/A | 0.281 | 0.654 | 3.222 | 0.402 | 0.357 | 0.000 | 0.000 | 15.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 48 | 43 | 42 | 42 | 0 | 0 | 60 |
N.S. |
1 | 0.67 | 0.63 | 0.57 | 0.55 | 0.55 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.230 | 0.082 | 2.762 | 0.378 | 0.313 | 0.000 | 0.000 | 0.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 51 | 48 | 45 | 25 | 157 | 0 | 0 | 65 |
N.S. |
1 | 0.74 | 0.70 | 0.65 | 0.36 | 2.28 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.214 | 0.228 | 2.922 | 0.386 | 0.320 | 0.000 | 0.000 | 14.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 32 | 13 | 31 | 0 | 0 | 47 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.37 | 0.89 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.210 | 0.161 | 2.867 | 0.388 | 0.273 | 0.000 | 0.000 | 13.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 24 | 26 | 97 | 0 | 0 | 37 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.96 | 3.59 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.154 | 0.031 | 2.253 | 0.368 | 0.307 | 0.000 | 0.000 | 0.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 43 | 65 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.19 | 1.81 | 3.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 0.029 | 2.756 | 0.384 | 0.333 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 32 | 32 | 67 | 31 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 0.91 | 0.91 | 1.91 | 0.89 | 0.00 | 0.00 | 2.49 |
time (sec) |
N/A | 0.218 | 0.025 | 3.033 | 0.383 | 0.328 | 0.000 | 0.000 | 14.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 60 | 55 | 87 | 688 | 207 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 0.71 | 1.12 | 8.82 | 2.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 0.057 | 3.194 | 0.452 | 0.302 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 51 | 45 | 45 | 343 | 44 | 0 | 0 | 131 |
N.S. |
1 | 0.67 | 0.59 | 0.59 | 4.51 | 0.58 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.242 | 0.074 | 2.885 | 0.386 | 0.284 | 0.000 | 0.000 | 15.126 |