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 | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 508 | 532 | 52 | 463 | 0 | 58 | 39 | 0 | 0 |
N.S. |
1 | 1.05 | 0.10 | 0.91 | 0.00 | 0.11 | 0.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.541 | 5.241 | 3.826 | 0.000 | 0.076 | 0.518 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 504 | 530 | 50 | 458 | 0 | 51 | 41 | 0 | 40 |
N.S. |
1 | 1.05 | 0.10 | 0.91 | 0.00 | 0.10 | 0.08 | 0.00 | 0.08 |
time (sec) |
N/A | 0.533 | 6.982 | 3.869 | 0.000 | 0.087 | 0.535 | 0.000 | 6.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 505 | 530 | 52 | 458 | 0 | 51 | 46 | 0 | 0 |
N.S. |
1 | 1.05 | 0.10 | 0.91 | 0.00 | 0.10 | 0.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.527 | 10.009 | 3.963 | 0.000 | 0.092 | 0.579 | 0.000 | 0.000 |
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 | 80 | 80 | 50 | 47 | 64 | 46 | 94 | 61 | 73 |
N.S. |
1 | 1.00 | 0.62 | 0.59 | 0.80 | 0.58 | 1.18 | 0.76 | 0.91 |
time (sec) |
N/A | 0.213 | 0.031 | 3.888 | 0.192 | 0.248 | 0.382 | 0.289 | 6.142 |
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 | 59 | 61 | 39 | 36 | 47 | 35 | 70 | 47 | 35 |
N.S. |
1 | 1.03 | 0.66 | 0.61 | 0.80 | 0.59 | 1.19 | 0.80 | 0.59 |
time (sec) |
N/A | 0.204 | 0.030 | 3.717 | 0.200 | 0.261 | 0.279 | 0.261 | 5.926 |
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 | 38 | 40 | 27 | 25 | 30 | 23 | 46 | 30 | 24 |
N.S. |
1 | 1.05 | 0.71 | 0.66 | 0.79 | 0.61 | 1.21 | 0.79 | 0.63 |
time (sec) |
N/A | 0.184 | 0.024 | 3.820 | 0.191 | 0.258 | 0.189 | 0.264 | 5.787 |
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 | 18 | 18 | 18 | 15 | 14 | 14 | 24 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 1.33 | 0.78 | 0.78 |
time (sec) |
N/A | 0.146 | 0.012 | 3.725 | 0.197 | 0.254 | 0.082 | 0.258 | 5.806 |
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 | 27 | 27 | 27 | 20 | 37 | 63 | 26 | 23 | 40 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 1.37 | 2.33 | 0.96 | 0.85 | 1.48 |
time (sec) |
N/A | 0.165 | 0.021 | 3.767 | 0.284 | 0.272 | 0.549 | 0.257 | 5.922 |
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 | 50 | 49 | 50 | 39 | 68 | 107 | 49 | 51 | 59 |
N.S. |
1 | 0.98 | 1.00 | 0.78 | 1.36 | 2.14 | 0.98 | 1.02 | 1.18 |
time (sec) |
N/A | 0.177 | 0.047 | 3.617 | 0.286 | 0.260 | 1.199 | 0.271 | 5.969 |
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 | 74 | 79 | 62 | 51 | 104 | 137 | 104 | 75 | 79 |
N.S. |
1 | 1.07 | 0.84 | 0.69 | 1.41 | 1.85 | 1.41 | 1.01 | 1.07 |
time (sec) |
N/A | 0.196 | 0.086 | 3.702 | 0.278 | 0.283 | 2.578 | 0.271 | 6.080 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 260 | 79 | 312 | 0 | 47 | 37 | 0 | 0 |
N.S. |
1 | 1.02 | 0.31 | 1.23 | 0.00 | 0.19 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 10.027 | 3.746 | 0.000 | 0.080 | 0.494 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 62 | 300 | 0 | 33 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.27 | 1.30 | 0.00 | 0.14 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 10.019 | 3.742 | 0.000 | 0.073 | 0.445 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 46 | 283 | 0 | 14 | 36 | 0 | 37 |
N.S. |
1 | 1.00 | 0.22 | 1.37 | 0.00 | 0.07 | 0.17 | 0.00 | 0.18 |
time (sec) |
N/A | 0.230 | 10.014 | 3.718 | 0.000 | 0.073 | 0.424 | 0.000 | 5.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 51 | 301 | 0 | 34 | 41 | 0 | 0 |
N.S. |
1 | 1.00 | 0.22 | 1.29 | 0.00 | 0.15 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.253 | 10.009 | 3.819 | 0.000 | 0.079 | 0.515 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 256 | 264 | 51 | 312 | 0 | 46 | 44 | 0 | 0 |
N.S. |
1 | 1.03 | 0.20 | 1.22 | 0.00 | 0.18 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 10.008 | 3.877 | 0.000 | 0.078 | 0.586 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 514 | 544 | 80 | 466 | 0 | 58 | 37 | 0 | 0 |
N.S. |
1 | 1.06 | 0.16 | 0.91 | 0.00 | 0.11 | 0.07 | 0.00 | 0.00 |
time (sec) |
N/A | 0.537 | 10.028 | 3.886 | 0.000 | 0.077 | 0.506 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 490 | 514 | 64 | 454 | 0 | 43 | 37 | 0 | 0 |
N.S. |
1 | 1.05 | 0.13 | 0.93 | 0.00 | 0.09 | 0.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.516 | 10.023 | 3.831 | 0.000 | 0.075 | 0.477 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 462 | 484 | 51 | 435 | 0 | 22 | 37 | 0 | 0 |
N.S. |
1 | 1.05 | 0.11 | 0.94 | 0.00 | 0.05 | 0.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 10.013 | 3.758 | 0.000 | 0.074 | 0.430 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 484 | 512 | 49 | 453 | 0 | 40 | 39 | 0 | 40 |
N.S. |
1 | 1.06 | 0.10 | 0.94 | 0.00 | 0.08 | 0.08 | 0.00 | 0.08 |
time (sec) |
N/A | 0.519 | 10.014 | 4.078 | 0.000 | 0.081 | 0.481 | 0.000 | 5.887 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 514 | 542 | 51 | 464 | 0 | 54 | 44 | 0 | 0 |
N.S. |
1 | 1.05 | 0.10 | 0.90 | 0.00 | 0.11 | 0.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.568 | 10.010 | 3.889 | 0.000 | 0.081 | 0.568 | 0.000 | 0.000 |
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 | 78 | 78 | 49 | 46 | 64 | 57 | 94 | 69 | 70 |
N.S. |
1 | 1.00 | 0.63 | 0.59 | 0.82 | 0.73 | 1.21 | 0.88 | 0.90 |
time (sec) |
N/A | 0.216 | 0.036 | 3.789 | 0.195 | 0.270 | 0.434 | 0.271 | 5.826 |
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 | 59 | 59 | 38 | 35 | 47 | 46 | 70 | 52 | 41 |
N.S. |
1 | 1.00 | 0.64 | 0.59 | 0.80 | 0.78 | 1.19 | 0.88 | 0.69 |
time (sec) |
N/A | 0.198 | 0.036 | 3.864 | 0.212 | 0.269 | 0.320 | 0.267 | 5.831 |
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 | 38 | 38 | 27 | 24 | 30 | 35 | 46 | 33 | 24 |
N.S. |
1 | 1.00 | 0.71 | 0.63 | 0.79 | 0.92 | 1.21 | 0.87 | 0.63 |
time (sec) |
N/A | 0.182 | 0.029 | 3.754 | 0.220 | 0.257 | 0.211 | 0.271 | 5.604 |
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 | 18 | 18 | 18 | 15 | 14 | 24 | 26 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.33 | 1.44 | 0.78 | 0.78 |
time (sec) |
N/A | 0.144 | 0.017 | 3.797 | 0.195 | 0.267 | 0.103 | 0.279 | 5.537 |
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 | 46 | 46 | 46 | 39 | 52 | 129 | 184 | 41 | 55 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 1.13 | 2.80 | 4.00 | 0.89 | 1.20 |
time (sec) |
N/A | 0.174 | 0.053 | 3.789 | 0.278 | 0.265 | 0.907 | 0.259 | 5.685 |
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 | 64 | 74 | 57 | 57 | 86 | 173 | 75 | 72 | 74 |
N.S. |
1 | 1.16 | 0.89 | 0.89 | 1.34 | 2.70 | 1.17 | 1.12 | 1.16 |
time (sec) |
N/A | 0.190 | 0.069 | 3.860 | 0.287 | 0.278 | 1.730 | 0.276 | 5.988 |
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 | 95 | 104 | 73 | 74 | 122 | 203 | 112 | 88 | 96 |
N.S. |
1 | 1.09 | 0.77 | 0.78 | 1.28 | 2.14 | 1.18 | 0.93 | 1.01 |
time (sec) |
N/A | 0.203 | 0.094 | 3.784 | 0.304 | 0.272 | 3.767 | 0.279 | 6.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 259 | 65 | 320 | 0 | 67 | 37 | 0 | 0 |
N.S. |
1 | 1.03 | 0.26 | 1.27 | 0.00 | 0.27 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 4.413 | 4.334 | 0.000 | 0.077 | 0.514 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 55 | 303 | 0 | 51 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 0.24 | 1.32 | 0.00 | 0.22 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.250 | 3.892 | 3.861 | 0.000 | 0.077 | 0.460 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 55 | 306 | 0 | 51 | 36 | 0 | 37 |
N.S. |
1 | 1.00 | 0.24 | 1.32 | 0.00 | 0.22 | 0.16 | 0.00 | 0.16 |
time (sec) |
N/A | 0.255 | 3.477 | 3.819 | 0.000 | 0.080 | 0.501 | 0.000 | 5.607 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 263 | 54 | 321 | 0 | 66 | 41 | 0 | 0 |
N.S. |
1 | 1.03 | 0.21 | 1.26 | 0.00 | 0.26 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 9.992 | 4.232 | 0.000 | 0.086 | 0.549 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 293 | 54 | 342 | 0 | 80 | 44 | 0 | 0 |
N.S. |
1 | 1.06 | 0.19 | 1.23 | 0.00 | 0.29 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 10.012 | 4.168 | 0.000 | 0.083 | 0.637 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 511 | 543 | 66 | 476 | 0 | 76 | 37 | 0 | 0 |
N.S. |
1 | 1.06 | 0.13 | 0.93 | 0.00 | 0.15 | 0.07 | 0.00 | 0.00 |
time (sec) |
N/A | 0.537 | 4.523 | 4.306 | 0.000 | 0.081 | 0.542 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 487 | 513 | 55 | 457 | 0 | 61 | 37 | 0 | 0 |
N.S. |
1 | 1.05 | 0.11 | 0.94 | 0.00 | 0.13 | 0.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.513 | 4.254 | 3.827 | 0.000 | 0.082 | 0.481 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 489 | 513 | 54 | 460 | 0 | 61 | 37 | 0 | 0 |
N.S. |
1 | 1.05 | 0.11 | 0.94 | 0.00 | 0.12 | 0.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.518 | 3.465 | 3.784 | 0.000 | 0.079 | 0.467 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 513 | 541 | 52 | 475 | 0 | 70 | 39 | 0 | 40 |
N.S. |
1 | 1.05 | 0.10 | 0.93 | 0.00 | 0.14 | 0.08 | 0.00 | 0.08 |
time (sec) |
N/A | 0.538 | 6.355 | 4.190 | 0.000 | 0.083 | 0.554 | 0.000 | 5.993 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 535 | 571 | 54 | 496 | 0 | 88 | 44 | 0 | 0 |
N.S. |
1 | 1.07 | 0.10 | 0.93 | 0.00 | 0.16 | 0.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 10.009 | 4.401 | 0.000 | 0.080 | 0.625 | 0.000 | 0.000 |
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 | 53 | 53 | 30 | 26 | 37 | 26 | 56 | 37 | 46 |
N.S. |
1 | 1.00 | 0.57 | 0.49 | 0.70 | 0.49 | 1.06 | 0.70 | 0.87 |
time (sec) |
N/A | 0.176 | 0.021 | 3.994 | 0.218 | 0.260 | 0.198 | 0.274 | 0.051 |
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 | 40 | 42 | 25 | 21 | 28 | 21 | 41 | 28 | 21 |
N.S. |
1 | 1.05 | 0.62 | 0.52 | 0.70 | 0.52 | 1.02 | 0.70 | 0.52 |
time (sec) |
N/A | 0.169 | 0.016 | 4.018 | 0.201 | 0.267 | 0.134 | 0.270 | 0.035 |
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 | 27 | 29 | 18 | 15 | 19 | 14 | 26 | 19 | 14 |
N.S. |
1 | 1.07 | 0.67 | 0.56 | 0.70 | 0.52 | 0.96 | 0.70 | 0.52 |
time (sec) |
N/A | 0.159 | 0.012 | 3.866 | 0.199 | 0.280 | 0.088 | 0.262 | 0.024 |
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 | 13 | 13 | 13 | 10 | 9 | 9 | 10 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 0.77 | 0.69 | 0.69 |
time (sec) |
N/A | 0.134 | 0.002 | 3.908 | 0.205 | 0.266 | 0.059 | 0.289 | 0.026 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 25 | 25 | 12 | 26 | 164 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 1.79 | 1.79 | 0.86 | 1.86 | 11.71 |
time (sec) |
N/A | 0.144 | 0.016 | 4.085 | 0.197 | 0.266 | 0.469 | 0.296 | 5.750 |
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 | 31 | 29 | 31 | 24 | 37 | 44 | 26 | 38 | 176 |
N.S. |
1 | 0.94 | 1.00 | 0.77 | 1.19 | 1.42 | 0.84 | 1.23 | 5.68 |
time (sec) |
N/A | 0.154 | 0.035 | 4.129 | 0.200 | 0.264 | 0.988 | 0.275 | 5.682 |
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 | 47 | 50 | 38 | 34 | 64 | 52 | 65 | 50 | 189 |
N.S. |
1 | 1.06 | 0.81 | 0.72 | 1.36 | 1.11 | 1.38 | 1.06 | 4.02 |
time (sec) |
N/A | 0.161 | 0.041 | 4.190 | 0.198 | 0.261 | 2.108 | 0.282 | 0.069 |
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 | 63 | 71 | 43 | 41 | 80 | 57 | 85 | 59 | 201 |
N.S. |
1 | 1.13 | 0.68 | 0.65 | 1.27 | 0.90 | 1.35 | 0.94 | 3.19 |
time (sec) |
N/A | 0.171 | 0.046 | 4.105 | 0.206 | 0.276 | 6.725 | 0.277 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 141 | 40 | 17 | 0 | 25 | 29 | 0 | 179 |
N.S. |
1 | 1.04 | 0.29 | 0.12 | 0.00 | 0.18 | 0.21 | 0.00 | 1.32 |
time (sec) |
N/A | 0.224 | 10.018 | 3.996 | 0.000 | 0.074 | 0.416 | 0.000 | 5.613 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 32 | 17 | 0 | 17 | 29 | 0 | 167 |
N.S. |
1 | 1.00 | 0.27 | 0.14 | 0.00 | 0.14 | 0.24 | 0.00 | 1.39 |
time (sec) |
N/A | 0.197 | 10.036 | 4.116 | 0.000 | 0.087 | 0.375 | 0.000 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 17 | 14 | 0 | 6 | 27 | 0 | 155 |
N.S. |
1 | 1.00 | 0.17 | 0.14 | 0.00 | 0.06 | 0.26 | 0.00 | 1.50 |
time (sec) |
N/A | 0.182 | 10.020 | 3.900 | 0.000 | 0.096 | 0.340 | 0.000 | 0.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 22 | 17 | 0 | 21 | 32 | 0 | 169 |
N.S. |
1 | 1.00 | 0.18 | 0.14 | 0.00 | 0.17 | 0.26 | 0.00 | 1.39 |
time (sec) |
N/A | 0.197 | 10.007 | 3.941 | 0.000 | 0.074 | 0.429 | 0.000 | 5.608 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 143 | 22 | 17 | 0 | 30 | 36 | 0 | 181 |
N.S. |
1 | 1.04 | 0.16 | 0.12 | 0.00 | 0.22 | 0.26 | 0.00 | 1.31 |
time (sec) |
N/A | 0.223 | 10.007 | 4.038 | 0.000 | 0.077 | 0.492 | 0.000 | 5.440 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 281 | 42 | 17 | 0 | 30 | 29 | 0 | 239 |
N.S. |
1 | 1.07 | 0.16 | 0.06 | 0.00 | 0.11 | 0.11 | 0.00 | 0.91 |
time (sec) |
N/A | 0.358 | 10.018 | 3.993 | 0.000 | 0.072 | 0.431 | 0.000 | 5.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 260 | 34 | 17 | 0 | 22 | 29 | 0 | 227 |
N.S. |
1 | 1.06 | 0.14 | 0.07 | 0.00 | 0.09 | 0.12 | 0.00 | 0.92 |
time (sec) |
N/A | 0.336 | 10.011 | 3.962 | 0.000 | 0.077 | 0.378 | 0.000 | 5.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 239 | 22 | 17 | 0 | 9 | 29 | 0 | 214 |
N.S. |
1 | 1.07 | 0.10 | 0.08 | 0.00 | 0.04 | 0.13 | 0.00 | 0.96 |
time (sec) |
N/A | 0.319 | 10.015 | 3.966 | 0.000 | 0.076 | 0.355 | 0.000 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 258 | 20 | 17 | 0 | 22 | 31 | 0 | 227 |
N.S. |
1 | 1.08 | 0.08 | 0.07 | 0.00 | 0.09 | 0.13 | 0.00 | 0.95 |
time (sec) |
N/A | 0.348 | 10.017 | 3.918 | 0.000 | 0.082 | 0.393 | 0.000 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 279 | 22 | 17 | 0 | 33 | 36 | 0 | 239 |
N.S. |
1 | 1.06 | 0.08 | 0.06 | 0.00 | 0.13 | 0.14 | 0.00 | 0.91 |
time (sec) |
N/A | 0.365 | 10.005 | 3.948 | 0.000 | 0.077 | 0.473 | 0.000 | 5.474 |
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 | 61 | 61 | 32 | 28 | 45 | 28 | 58 | 59 | 54 |
N.S. |
1 | 1.00 | 0.52 | 0.46 | 0.74 | 0.46 | 0.95 | 0.97 | 0.89 |
time (sec) |
N/A | 0.193 | 0.021 | 3.947 | 0.199 | 0.267 | 0.197 | 0.267 | 0.040 |
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 | 46 | 48 | 27 | 23 | 34 | 23 | 42 | 41 | 23 |
N.S. |
1 | 1.04 | 0.59 | 0.50 | 0.74 | 0.50 | 0.91 | 0.89 | 0.50 |
time (sec) |
N/A | 0.180 | 0.019 | 3.795 | 0.194 | 0.263 | 0.137 | 0.276 | 0.031 |
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 | 31 | 33 | 20 | 17 | 23 | 16 | 27 | 23 | 16 |
N.S. |
1 | 1.06 | 0.65 | 0.55 | 0.74 | 0.52 | 0.87 | 0.74 | 0.52 |
time (sec) |
N/A | 0.170 | 0.015 | 3.824 | 0.192 | 0.277 | 0.089 | 0.271 | 0.030 |
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 | 15 | 15 | 15 | 12 | 11 | 11 | 12 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.73 | 0.80 | 0.73 | 0.73 |
time (sec) |
N/A | 0.140 | 0.011 | 3.858 | 0.194 | 0.318 | 0.060 | 0.283 | 0.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 29 | 29 | 31 | 30 | 180 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 1.81 | 1.81 | 1.94 | 1.88 | 11.25 |
time (sec) |
N/A | 0.151 | 0.001 | 4.053 | 0.203 | 0.261 | 0.505 | 0.272 | 5.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 28 | 43 | 50 | 82 | 44 | 195 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 1.23 | 1.43 | 2.34 | 1.26 | 5.57 |
time (sec) |
N/A | 0.166 | 0.032 | 4.122 | 0.206 | 0.266 | 1.057 | 0.284 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 58 | 42 | 40 | 70 | 58 | 138 | 58 | 209 |
N.S. |
1 | 1.09 | 0.79 | 0.75 | 1.32 | 1.09 | 2.60 | 1.09 | 3.94 |
time (sec) |
N/A | 0.173 | 0.032 | 4.011 | 0.272 | 0.280 | 2.174 | 0.275 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 81 | 47 | 45 | 90 | 63 | 182 | 76 | 223 |
N.S. |
1 | 1.14 | 0.66 | 0.63 | 1.27 | 0.89 | 2.56 | 1.07 | 3.14 |
time (sec) |
N/A | 0.184 | 0.055 | 4.129 | 0.226 | 0.285 | 6.664 | 0.290 | 0.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 157 | 40 | 15 | 0 | 27 | 31 | 0 | 199 |
N.S. |
1 | 1.03 | 0.26 | 0.10 | 0.00 | 0.18 | 0.20 | 0.00 | 1.31 |
time (sec) |
N/A | 0.238 | 10.019 | 4.048 | 0.000 | 0.074 | 0.436 | 0.000 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 32 | 15 | 0 | 19 | 31 | 0 | 185 |
N.S. |
1 | 1.00 | 0.24 | 0.11 | 0.00 | 0.14 | 0.23 | 0.00 | 1.38 |
time (sec) |
N/A | 0.205 | 10.028 | 3.947 | 0.000 | 0.078 | 0.383 | 0.000 | 5.436 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 15 | 12 | 0 | 6 | 29 | 0 | 172 |
N.S. |
1 | 1.00 | 0.13 | 0.10 | 0.00 | 0.05 | 0.25 | 0.00 | 1.50 |
time (sec) |
N/A | 0.189 | 10.020 | 3.899 | 0.000 | 0.088 | 0.372 | 0.000 | 0.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 20 | 15 | 0 | 26 | 34 | 0 | 187 |
N.S. |
1 | 1.00 | 0.15 | 0.11 | 0.00 | 0.19 | 0.25 | 0.00 | 1.38 |
time (sec) |
N/A | 0.209 | 10.004 | 4.013 | 0.000 | 0.077 | 0.456 | 0.000 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 159 | 20 | 15 | 0 | 33 | 37 | 0 | 201 |
N.S. |
1 | 1.03 | 0.13 | 0.10 | 0.00 | 0.21 | 0.24 | 0.00 | 1.31 |
time (sec) |
N/A | 0.233 | 23.990 | 3.987 | 0.000 | 0.079 | 0.516 | 0.000 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 313 | 42 | 15 | 0 | 32 | 31 | 0 | 260 |
N.S. |
1 | 1.06 | 0.14 | 0.05 | 0.00 | 0.11 | 0.11 | 0.00 | 0.88 |
time (sec) |
N/A | 0.393 | 10.018 | 4.091 | 0.000 | 0.096 | 0.446 | 0.000 | 0.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 290 | 34 | 15 | 0 | 24 | 31 | 0 | 246 |
N.S. |
1 | 1.05 | 0.12 | 0.05 | 0.00 | 0.09 | 0.11 | 0.00 | 0.89 |
time (sec) |
N/A | 0.380 | 10.012 | 4.111 | 0.000 | 0.083 | 0.396 | 0.000 | 0.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 267 | 20 | 15 | 0 | 9 | 31 | 0 | 231 |
N.S. |
1 | 1.06 | 0.08 | 0.06 | 0.00 | 0.04 | 0.12 | 0.00 | 0.92 |
time (sec) |
N/A | 0.351 | 0.001 | 3.927 | 0.000 | 0.084 | 0.365 | 0.000 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 270 | 287 | 18 | 15 | 0 | 26 | 32 | 0 | 245 |
N.S. |
1 | 1.06 | 0.07 | 0.06 | 0.00 | 0.10 | 0.12 | 0.00 | 0.91 |
time (sec) |
N/A | 0.351 | 10.012 | 3.966 | 0.000 | 0.088 | 0.408 | 0.000 | 5.495 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 310 | 20 | 15 | 0 | 36 | 37 | 0 | 260 |
N.S. |
1 | 1.05 | 0.07 | 0.05 | 0.00 | 0.12 | 0.13 | 0.00 | 0.88 |
time (sec) |
N/A | 0.402 | 10.004 | 3.971 | 0.000 | 0.093 | 0.479 | 0.000 | 0.047 |
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 | 53 | 53 | 30 | 26 | 37 | 26 | 56 | 37 | 46 |
N.S. |
1 | 1.00 | 0.57 | 0.49 | 0.70 | 0.49 | 1.06 | 0.70 | 0.87 |
time (sec) |
N/A | 0.183 | 0.017 | 4.050 | 0.204 | 0.277 | 0.202 | 0.265 | 0.037 |
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 | 40 | 42 | 25 | 21 | 28 | 21 | 41 | 28 | 21 |
N.S. |
1 | 1.05 | 0.62 | 0.52 | 0.70 | 0.52 | 1.02 | 0.70 | 0.52 |
time (sec) |
N/A | 0.171 | 0.015 | 4.063 | 0.190 | 0.265 | 0.143 | 0.268 | 0.028 |
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 | 27 | 29 | 18 | 15 | 19 | 14 | 26 | 19 | 14 |
N.S. |
1 | 1.07 | 0.67 | 0.56 | 0.70 | 0.52 | 0.96 | 0.70 | 0.52 |
time (sec) |
N/A | 0.163 | 0.013 | 3.946 | 0.217 | 0.260 | 0.092 | 0.276 | 0.022 |
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 | 13 | 13 | 13 | 10 | 9 | 9 | 10 | 9 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 0.77 | 0.69 | 0.69 |
time (sec) |
N/A | 0.136 | 0.009 | 3.949 | 0.194 | 0.269 | 0.058 | 0.269 | 0.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 31 | 10 | 164 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 2.21 | 0.71 | 11.71 |
time (sec) |
N/A | 0.145 | 0.015 | 4.496 | 0.287 | 0.269 | 0.493 | 0.274 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 28 | 28 | 24 | 23 | 25 | 80 | 23 | 177 |
N.S. |
1 | 0.90 | 0.90 | 0.77 | 0.74 | 0.81 | 2.58 | 0.74 | 5.71 |
time (sec) |
N/A | 0.154 | 0.023 | 4.289 | 0.299 | 0.252 | 1.034 | 0.265 | 5.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 49 | 38 | 36 | 48 | 34 | 138 | 35 | 189 |
N.S. |
1 | 1.04 | 0.81 | 0.77 | 1.02 | 0.72 | 2.94 | 0.74 | 4.02 |
time (sec) |
N/A | 0.164 | 0.038 | 4.264 | 0.305 | 0.304 | 2.174 | 0.261 | 5.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 70 | 43 | 40 | 66 | 39 | 182 | 44 | 201 |
N.S. |
1 | 1.11 | 0.68 | 0.63 | 1.05 | 0.62 | 2.89 | 0.70 | 3.19 |
time (sec) |
N/A | 0.171 | 0.041 | 4.282 | 0.329 | 0.273 | 6.624 | 0.262 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 153 | 158 | 52 | 33 | 0 | 25 | 27 | 0 | 179 |
N.S. |
1 | 1.03 | 0.34 | 0.22 | 0.00 | 0.16 | 0.18 | 0.00 | 1.17 |
time (sec) |
N/A | 0.232 | 10.017 | 4.034 | 0.000 | 0.072 | 0.421 | 0.000 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 44 | 33 | 0 | 17 | 27 | 0 | 167 |
N.S. |
1 | 1.00 | 0.32 | 0.24 | 0.00 | 0.12 | 0.20 | 0.00 | 1.22 |
time (sec) |
N/A | 0.213 | 10.030 | 4.032 | 0.000 | 0.080 | 0.399 | 0.000 | 0.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 35 | 30 | 0 | 6 | 26 | 0 | 156 |
N.S. |
1 | 1.00 | 0.29 | 0.25 | 0.00 | 0.05 | 0.22 | 0.00 | 1.30 |
time (sec) |
N/A | 0.199 | 10.021 | 3.931 | 0.000 | 0.078 | 0.359 | 0.000 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 40 | 33 | 0 | 21 | 31 | 0 | 169 |
N.S. |
1 | 1.00 | 0.29 | 0.24 | 0.00 | 0.15 | 0.22 | 0.00 | 1.22 |
time (sec) |
N/A | 0.208 | 10.007 | 3.963 | 0.000 | 0.075 | 0.462 | 0.000 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 155 | 160 | 40 | 33 | 0 | 30 | 34 | 0 | 181 |
N.S. |
1 | 1.03 | 0.26 | 0.21 | 0.00 | 0.19 | 0.22 | 0.00 | 1.17 |
time (sec) |
N/A | 0.227 | 10.009 | 4.040 | 0.000 | 0.087 | 0.497 | 0.000 | 5.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 294 | 312 | 54 | 33 | 0 | 30 | 27 | 0 | 240 |
N.S. |
1 | 1.06 | 0.18 | 0.11 | 0.00 | 0.10 | 0.09 | 0.00 | 0.82 |
time (sec) |
N/A | 0.379 | 10.016 | 4.070 | 0.000 | 0.076 | 0.439 | 0.000 | 5.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 278 | 291 | 46 | 33 | 0 | 22 | 27 | 0 | 228 |
N.S. |
1 | 1.05 | 0.17 | 0.12 | 0.00 | 0.08 | 0.10 | 0.00 | 0.82 |
time (sec) |
N/A | 0.347 | 10.019 | 3.982 | 0.000 | 0.072 | 0.402 | 0.000 | 5.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 255 | 270 | 40 | 33 | 0 | 9 | 27 | 0 | 215 |
N.S. |
1 | 1.06 | 0.16 | 0.13 | 0.00 | 0.04 | 0.11 | 0.00 | 0.84 |
time (sec) |
N/A | 0.343 | 10.024 | 3.995 | 0.000 | 0.090 | 0.375 | 0.000 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 269 | 289 | 38 | 33 | 0 | 21 | 29 | 0 | 226 |
N.S. |
1 | 1.07 | 0.14 | 0.12 | 0.00 | 0.08 | 0.11 | 0.00 | 0.84 |
time (sec) |
N/A | 0.376 | 10.016 | 3.885 | 0.000 | 0.087 | 0.414 | 0.000 | 5.443 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 294 | 310 | 40 | 33 | 0 | 33 | 34 | 0 | 240 |
N.S. |
1 | 1.05 | 0.14 | 0.11 | 0.00 | 0.11 | 0.12 | 0.00 | 0.82 |
time (sec) |
N/A | 0.384 | 10.009 | 3.989 | 0.000 | 0.082 | 0.502 | 0.000 | 5.410 |
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 | 61 | 61 | 32 | 28 | 45 | 28 | 63 | 59 | 54 |
N.S. |
1 | 1.00 | 0.52 | 0.46 | 0.74 | 0.46 | 1.03 | 0.97 | 0.89 |
time (sec) |
N/A | 0.194 | 0.023 | 3.826 | 0.204 | 0.266 | 0.223 | 0.271 | 0.036 |
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 | 46 | 48 | 27 | 23 | 34 | 23 | 46 | 41 | 23 |
N.S. |
1 | 1.04 | 0.59 | 0.50 | 0.74 | 0.50 | 1.00 | 0.89 | 0.50 |
time (sec) |
N/A | 0.182 | 0.022 | 4.784 | 0.206 | 0.272 | 0.142 | 0.259 | 0.029 |
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 | 31 | 33 | 20 | 17 | 23 | 16 | 29 | 23 | 16 |
N.S. |
1 | 1.06 | 0.65 | 0.55 | 0.74 | 0.52 | 0.94 | 0.74 | 0.52 |
time (sec) |
N/A | 0.171 | 0.015 | 3.806 | 0.202 | 0.269 | 0.093 | 0.270 | 0.030 |
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 | 15 | 15 | 15 | 12 | 11 | 11 | 14 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.73 | 0.93 | 0.73 | 0.73 |
time (sec) |
N/A | 0.139 | 0.010 | 3.894 | 0.198 | 0.279 | 0.065 | 0.267 | 0.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 12 | 12 | 12 | 180 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.75 | 0.75 | 0.75 | 11.25 |
time (sec) |
N/A | 0.154 | 0.016 | 4.161 | 0.279 | 0.283 | 0.478 | 0.260 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 34 | 35 | 28 | 27 | 31 | 29 | 27 | 194 |
N.S. |
1 | 0.97 | 1.00 | 0.80 | 0.77 | 0.89 | 0.83 | 0.77 | 5.54 |
time (sec) |
N/A | 0.157 | 0.025 | 4.247 | 0.275 | 0.266 | 1.003 | 0.269 | 5.447 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 57 | 42 | 38 | 56 | 39 | 66 | 41 | 209 |
N.S. |
1 | 1.08 | 0.79 | 0.72 | 1.06 | 0.74 | 1.25 | 0.77 | 3.94 |
time (sec) |
N/A | 0.173 | 0.033 | 4.142 | 0.278 | 0.261 | 2.149 | 0.262 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 80 | 47 | 44 | 74 | 44 | 90 | 59 | 223 |
N.S. |
1 | 1.13 | 0.66 | 0.62 | 1.04 | 0.62 | 1.27 | 0.83 | 3.14 |
time (sec) |
N/A | 0.185 | 0.040 | 4.135 | 0.278 | 0.290 | 6.711 | 0.261 | 0.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 154 | 54 | 18 | 0 | 27 | 32 | 0 | 199 |
N.S. |
1 | 1.03 | 0.36 | 0.12 | 0.00 | 0.18 | 0.21 | 0.00 | 1.34 |
time (sec) |
N/A | 0.239 | 10.025 | 3.937 | 0.000 | 0.083 | 0.420 | 0.000 | 0.043 |