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 | C | F | C | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 47 | 18 | 0 | 19 | 32 | 0 | 185 |
N.S. |
1 | 1.00 | 0.36 | 0.14 | 0.00 | 0.15 | 0.24 | 0.00 | 1.41 |
time (sec) |
N/A | 0.212 | 10.033 | 3.883 | 0.000 | 0.078 | 0.377 | 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 | 112 | 112 | 37 | 16 | 0 | 6 | 31 | 0 | 172 |
N.S. |
1 | 1.00 | 0.33 | 0.14 | 0.00 | 0.05 | 0.28 | 0.00 | 1.54 |
time (sec) |
N/A | 0.191 | 10.022 | 3.976 | 0.000 | 0.085 | 0.349 | 0.000 | 0.033 |
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 | 133 | 133 | 42 | 18 | 0 | 24 | 36 | 0 | 187 |
N.S. |
1 | 1.00 | 0.32 | 0.14 | 0.00 | 0.18 | 0.27 | 0.00 | 1.41 |
time (sec) |
N/A | 0.214 | 10.007 | 3.920 | 0.000 | 0.080 | 0.438 | 0.000 | 5.349 |
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 | 151 | 156 | 42 | 18 | 0 | 33 | 39 | 0 | 201 |
N.S. |
1 | 1.03 | 0.28 | 0.12 | 0.00 | 0.22 | 0.26 | 0.00 | 1.33 |
time (sec) |
N/A | 0.235 | 10.007 | 3.919 | 0.000 | 0.080 | 0.491 | 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 | 282 | 300 | 56 | 18 | 0 | 32 | 32 | 0 | 259 |
N.S. |
1 | 1.06 | 0.20 | 0.06 | 0.00 | 0.11 | 0.11 | 0.00 | 0.92 |
time (sec) |
N/A | 0.385 | 10.016 | 3.923 | 0.000 | 0.080 | 0.429 | 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 | 264 | 277 | 49 | 18 | 0 | 24 | 32 | 0 | 245 |
N.S. |
1 | 1.05 | 0.19 | 0.07 | 0.00 | 0.09 | 0.12 | 0.00 | 0.93 |
time (sec) |
N/A | 0.374 | 10.012 | 3.927 | 0.000 | 0.077 | 0.390 | 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 | 239 | 254 | 42 | 18 | 0 | 9 | 32 | 0 | 230 |
N.S. |
1 | 1.06 | 0.18 | 0.08 | 0.00 | 0.04 | 0.13 | 0.00 | 0.96 |
time (sec) |
N/A | 0.337 | 10.017 | 3.882 | 0.000 | 0.090 | 0.352 | 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 | 257 | 274 | 40 | 18 | 0 | 24 | 34 | 0 | 244 |
N.S. |
1 | 1.07 | 0.16 | 0.07 | 0.00 | 0.09 | 0.13 | 0.00 | 0.95 |
time (sec) |
N/A | 0.369 | 10.023 | 3.899 | 0.000 | 0.095 | 0.388 | 0.000 | 5.450 |
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 | 282 | 297 | 42 | 18 | 0 | 36 | 39 | 0 | 259 |
N.S. |
1 | 1.05 | 0.15 | 0.06 | 0.00 | 0.13 | 0.14 | 0.00 | 0.92 |
time (sec) |
N/A | 0.389 | 10.009 | 3.953 | 0.000 | 0.086 | 0.481 | 0.000 | 0.049 |
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 | 84 | 50 | 47 | 64 | 57 | 110 | 57 | 55 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.80 | 0.71 | 1.38 | 0.71 | 0.69 |
time (sec) |
N/A | 0.217 | 0.041 | 3.861 | 0.198 | 0.253 | 0.408 | 0.268 | 5.996 |
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 | 63 | 39 | 36 | 47 | 46 | 87 | 43 | 44 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.78 | 1.47 | 0.73 | 0.75 |
time (sec) |
N/A | 0.197 | 0.028 | 3.793 | 0.202 | 0.258 | 0.293 | 0.274 | 6.021 |
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 | 38 | 42 | 38 | 25 | 30 | 34 | 63 | 29 | 33 |
N.S. |
1 | 1.11 | 1.00 | 0.66 | 0.79 | 0.89 | 1.66 | 0.76 | 0.87 |
time (sec) |
N/A | 0.185 | 0.023 | 3.765 | 0.197 | 0.264 | 0.206 | 0.266 | 5.909 |
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 | 15 | 14 | 14 | 39 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 2.17 | 0.78 | 0.78 |
time (sec) |
N/A | 0.147 | 0.011 | 3.777 | 0.184 | 0.254 | 0.084 | 0.274 | 5.966 |
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 | 95 | 102 | 124 | 96 | 95 | 100 | 42 | 96 | 112 |
N.S. |
1 | 1.07 | 1.31 | 1.01 | 1.00 | 1.05 | 0.44 | 1.01 | 1.18 |
time (sec) |
N/A | 0.223 | 0.108 | 4.532 | 0.288 | 0.258 | 0.629 | 0.529 | 5.957 |
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 | 107 | 108 | 135 | 111 | 103 | 155 | 41 | 115 | 122 |
N.S. |
1 | 1.01 | 1.26 | 1.04 | 0.96 | 1.45 | 0.38 | 1.07 | 1.14 |
time (sec) |
N/A | 0.216 | 0.156 | 3.938 | 0.294 | 0.254 | 0.701 | 0.470 | 6.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 126 | 168 | 146 | 181 | 181 | 39 | 0 | 0 |
N.S. |
1 | 1.05 | 1.40 | 1.22 | 1.51 | 1.51 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.361 | 4.939 | 0.282 | 0.260 | 1.154 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 96 | 141 | 121 | 134 | 193 | 39 | 0 | 0 |
N.S. |
1 | 1.02 | 1.50 | 1.29 | 1.43 | 2.05 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 0.265 | 4.101 | 0.282 | 0.291 | 0.646 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 91 | 144 | 124 | 114 | 162 | 41 | 0 | 40 |
N.S. |
1 | 1.03 | 1.64 | 1.41 | 1.30 | 1.84 | 0.47 | 0.00 | 0.45 |
time (sec) |
N/A | 0.189 | 0.186 | 3.957 | 0.282 | 79.536 | 0.634 | 0.000 | 6.269 |
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 | 21 | 21 | 21 | 18 | 17 | 17 | 68 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 3.24 | 0.00 | 0.81 |
time (sec) |
N/A | 0.142 | 0.085 | 3.815 | 0.188 | 0.257 | 0.434 | 0.000 | 5.957 |
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 | 44 | 44 | 42 | 28 | 35 | 38 | 109 | 0 | 32 |
N.S. |
1 | 1.00 | 0.95 | 0.64 | 0.80 | 0.86 | 2.48 | 0.00 | 0.73 |
time (sec) |
N/A | 0.172 | 0.098 | 3.920 | 0.196 | 0.415 | 0.588 | 0.000 | 6.090 |
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 | 68 | 74 | 53 | 39 | 52 | 49 | 520 | 0 | 73 |
N.S. |
1 | 1.09 | 0.78 | 0.57 | 0.76 | 0.72 | 7.65 | 0.00 | 1.07 |
time (sec) |
N/A | 0.197 | 0.106 | 4.038 | 0.200 | 0.269 | 0.858 | 0.000 | 6.389 |
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 | 92 | 104 | 53 | 50 | 69 | 60 | 847 | 0 | 93 |
N.S. |
1 | 1.13 | 0.58 | 0.54 | 0.75 | 0.65 | 9.21 | 0.00 | 1.01 |
time (sec) |
N/A | 0.219 | 0.116 | 3.950 | 0.196 | 0.255 | 1.177 | 0.000 | 6.350 |
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 | 38 | 51 | 51 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 4.373 | 0.000 | 0.000 | 0.000 | 0.511 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 33 | 46 | 203 | 0 | 0 | 0 | 37 | 0 | 37 |
N.S. |
1 | 1.39 | 6.15 | 0.00 | 0.00 | 0.00 | 1.12 | 0.00 | 1.12 |
time (sec) |
N/A | 0.155 | 0.183 | 0.000 | 0.000 | 0.000 | 0.483 | 0.000 | 5.942 |
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 | 38 | 51 | 51 | 0 | 0 | 0 | 42 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 10.013 | 0.000 | 0.000 | 0.000 | 0.514 | 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 | 38 | 51 | 51 | 0 | 0 | 0 | 42 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 10.011 | 0.000 | 0.000 | 0.000 | 0.618 | 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 | 84 | 50 | 47 | 64 | 57 | 110 | 57 | 55 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.80 | 0.71 | 1.38 | 0.71 | 0.69 |
time (sec) |
N/A | 0.202 | 0.036 | 3.854 | 0.198 | 0.259 | 0.503 | 0.273 | 6.044 |
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 | 63 | 39 | 36 | 47 | 46 | 87 | 43 | 44 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.78 | 1.47 | 0.73 | 0.75 |
time (sec) |
N/A | 0.184 | 0.027 | 3.800 | 0.194 | 0.251 | 0.349 | 0.269 | 5.969 |
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 | 38 | 42 | 39 | 25 | 30 | 35 | 63 | 29 | 33 |
N.S. |
1 | 1.11 | 1.03 | 0.66 | 0.79 | 0.92 | 1.66 | 0.76 | 0.87 |
time (sec) |
N/A | 0.169 | 0.024 | 3.763 | 0.188 | 0.254 | 0.261 | 0.287 | 5.780 |
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 | 15 | 14 | 14 | 39 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 2.17 | 0.78 | 0.78 |
time (sec) |
N/A | 0.139 | 0.011 | 3.793 | 0.193 | 0.248 | 0.110 | 0.281 | 5.739 |
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 | 98 | 103 | 126 | 98 | 97 | 122 | 44 | 98 | 122 |
N.S. |
1 | 1.05 | 1.29 | 1.00 | 0.99 | 1.24 | 0.45 | 1.00 | 1.24 |
time (sec) |
N/A | 0.205 | 0.107 | 3.830 | 0.294 | 0.253 | 0.683 | 0.491 | 5.466 |
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 | 107 | 107 | 136 | 112 | 103 | 290 | 39 | 116 | 137 |
N.S. |
1 | 1.00 | 1.27 | 1.05 | 0.96 | 2.71 | 0.36 | 1.08 | 1.28 |
time (sec) |
N/A | 0.210 | 0.143 | 3.978 | 0.273 | 0.283 | 0.695 | 0.503 | 5.664 |
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 | 38 | 51 | 51 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 5.318 | 0.000 | 0.000 | 0.000 | 0.528 | 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 | 38 | 51 | 51 | 0 | 0 | 0 | 39 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 4.772 | 0.000 | 0.000 | 0.000 | 0.492 | 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 | 36 | 49 | 49 | 0 | 0 | 0 | 41 | 0 | 39 |
N.S. |
1 | 1.36 | 1.36 | 0.00 | 0.00 | 0.00 | 1.14 | 0.00 | 1.08 |
time (sec) |
N/A | 0.170 | 8.138 | 0.000 | 0.000 | 0.000 | 0.535 | 0.000 | 5.822 |
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 | 38 | 51 | 51 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.21 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 10.014 | 0.000 | 0.000 | 0.000 | 0.571 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 122 | 168 | 144 | 181 | 345 | 39 | 0 | 0 |
N.S. |
1 | 1.04 | 1.44 | 1.23 | 1.55 | 2.95 | 0.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 0.352 | 4.057 | 0.291 | 0.268 | 1.120 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 92 | 203 | 118 | 134 | 362 | 37 | 0 | 37 |
N.S. |
1 | 1.01 | 2.23 | 1.30 | 1.47 | 3.98 | 0.41 | 0.00 | 0.41 |
time (sec) |
N/A | 0.194 | 0.157 | 4.028 | 0.295 | 0.265 | 0.660 | 0.000 | 5.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 91 | 145 | 130 | 114 | 194 | 42 | 0 | 0 |
N.S. |
1 | 1.03 | 1.65 | 1.48 | 1.30 | 2.20 | 0.48 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.230 | 3.981 | 0.294 | 227.953 | 0.672 | 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 | 21 | 21 | 21 | 18 | 17 | 17 | 68 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 3.24 | 0.00 | 0.81 |
time (sec) |
N/A | 0.144 | 0.109 | 3.872 | 0.202 | 0.292 | 0.471 | 0.000 | 5.864 |
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 | 44 | 44 | 42 | 28 | 35 | 38 | 110 | 0 | 38 |
N.S. |
1 | 1.00 | 0.95 | 0.64 | 0.80 | 0.86 | 2.50 | 0.00 | 0.86 |
time (sec) |
N/A | 0.164 | 0.117 | 4.010 | 0.225 | 0.270 | 0.643 | 0.000 | 5.960 |
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 | 68 | 74 | 53 | 39 | 52 | 49 | 520 | 0 | 73 |
N.S. |
1 | 1.09 | 0.78 | 0.57 | 0.76 | 0.72 | 7.65 | 0.00 | 1.07 |
time (sec) |
N/A | 0.192 | 0.121 | 3.936 | 0.225 | 0.279 | 0.948 | 0.000 | 5.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 50 | 27 | 15 | 34 | 33 | 71 | 55 | 33 |
N.S. |
1 | 1.09 | 0.59 | 0.33 | 0.74 | 0.72 | 1.54 | 1.20 | 0.72 |
time (sec) |
N/A | 0.173 | 0.024 | 3.885 | 0.208 | 0.252 | 0.701 | 0.269 | 5.670 |
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 | 84 | 50 | 47 | 64 | 46 | 92 | 61 | 48 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.80 | 0.58 | 1.15 | 0.76 | 0.60 |
time (sec) |
N/A | 0.201 | 0.031 | 3.851 | 0.232 | 0.261 | 0.354 | 0.261 | 5.654 |
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 | 63 | 39 | 36 | 47 | 35 | 68 | 47 | 36 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.59 | 1.15 | 0.80 | 0.61 |
time (sec) |
N/A | 0.183 | 0.026 | 3.842 | 0.213 | 0.276 | 0.262 | 0.268 | 5.686 |
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 | 42 | 28 | 25 | 30 | 24 | 44 | 30 | 24 |
N.S. |
1 | 1.11 | 0.74 | 0.66 | 0.79 | 0.63 | 1.16 | 0.79 | 0.63 |
time (sec) |
N/A | 0.171 | 0.023 | 3.861 | 0.242 | 0.262 | 0.187 | 0.284 | 5.754 |
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 | 22 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 1.22 | 0.78 | 0.78 |
time (sec) |
N/A | 0.139 | 0.012 | 3.848 | 0.228 | 0.265 | 0.072 | 0.272 | 5.583 |
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 | 83 | 85 | 103 | 83 | 86 | 236 | 37 | 87 | 100 |
N.S. |
1 | 1.02 | 1.24 | 1.00 | 1.04 | 2.84 | 0.45 | 1.05 | 1.20 |
time (sec) |
N/A | 0.205 | 0.082 | 3.908 | 0.305 | 0.290 | 0.524 | 0.507 | 5.974 |
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 | 110 | 113 | 136 | 111 | 118 | 344 | 39 | 119 | 138 |
N.S. |
1 | 1.03 | 1.24 | 1.01 | 1.07 | 3.13 | 0.35 | 1.08 | 1.25 |
time (sec) |
N/A | 0.219 | 0.161 | 4.079 | 0.288 | 0.295 | 0.733 | 0.524 | 6.204 |
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 | 38 | 51 | 51 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 4.408 | 0.000 | 0.000 | 0.000 | 0.512 | 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 | 38 | 51 | 51 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 4.622 | 0.000 | 0.000 | 0.000 | 0.461 | 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 | 38 | 51 | 51 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 4.476 | 0.000 | 0.000 | 0.000 | 0.430 | 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 | 36 | 49 | 49 | 0 | 0 | 0 | 39 | 0 | 40 |
N.S. |
1 | 1.36 | 1.36 | 0.00 | 0.00 | 0.00 | 1.08 | 0.00 | 1.11 |
time (sec) |
N/A | 0.177 | 7.795 | 0.000 | 0.000 | 0.000 | 0.464 | 0.000 | 6.072 |
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 | 38 | 51 | 51 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 10.012 | 0.000 | 0.000 | 0.000 | 0.547 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 98 | 140 | 118 | 137 | 309 | 37 | 0 | 0 |
N.S. |
1 | 1.04 | 1.49 | 1.26 | 1.46 | 3.29 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.287 | 4.005 | 0.302 | 0.280 | 0.675 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 110 | 99 | 100 | 330 | 36 | 0 | 37 |
N.S. |
1 | 1.00 | 1.57 | 1.41 | 1.43 | 4.71 | 0.51 | 0.00 | 0.53 |
time (sec) |
N/A | 0.165 | 0.040 | 4.079 | 0.311 | 0.291 | 0.506 | 0.000 | 5.660 |
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 | 21 | 21 | 21 | 18 | 17 | 17 | 31 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 1.48 | 0.00 | 0.81 |
time (sec) |
N/A | 0.139 | 0.099 | 3.852 | 0.226 | 0.272 | 0.372 | 0.000 | 5.752 |
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 | 44 | 44 | 31 | 28 | 35 | 27 | 70 | 0 | 27 |
N.S. |
1 | 1.00 | 0.70 | 0.64 | 0.80 | 0.61 | 1.59 | 0.00 | 0.61 |
time (sec) |
N/A | 0.161 | 0.115 | 3.862 | 0.231 | 0.292 | 0.494 | 0.000 | 5.714 |
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 | 68 | 74 | 42 | 39 | 52 | 38 | 406 | 0 | 38 |
N.S. |
1 | 1.09 | 0.62 | 0.57 | 0.76 | 0.56 | 5.97 | 0.00 | 0.56 |
time (sec) |
N/A | 0.195 | 0.134 | 3.884 | 0.211 | 0.296 | 0.758 | 0.000 | 5.668 |
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 | 92 | 104 | 53 | 50 | 69 | 49 | 692 | 0 | 76 |
N.S. |
1 | 1.13 | 0.58 | 0.54 | 0.75 | 0.53 | 7.52 | 0.00 | 0.83 |
time (sec) |
N/A | 0.217 | 0.146 | 4.053 | 0.209 | 0.346 | 1.056 | 0.000 | 5.703 |
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 | 82 | 50 | 47 | 64 | 46 | 92 | 61 | 48 |
N.S. |
1 | 1.05 | 0.64 | 0.60 | 0.82 | 0.59 | 1.18 | 0.78 | 0.62 |
time (sec) |
N/A | 0.200 | 0.037 | 3.834 | 0.209 | 0.274 | 0.431 | 0.291 | 5.591 |
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 | 56 | 61 | 39 | 36 | 46 | 35 | 68 | 46 | 36 |
N.S. |
1 | 1.09 | 0.70 | 0.64 | 0.82 | 0.62 | 1.21 | 0.82 | 0.64 |
time (sec) |
N/A | 0.186 | 0.026 | 3.807 | 0.210 | 0.269 | 0.309 | 0.264 | 5.563 |
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 | 36 | 40 | 27 | 24 | 30 | 23 | 44 | 30 | 24 |
N.S. |
1 | 1.11 | 0.75 | 0.67 | 0.83 | 0.64 | 1.22 | 0.83 | 0.67 |
time (sec) |
N/A | 0.172 | 0.021 | 3.863 | 0.214 | 0.264 | 0.213 | 0.266 | 5.522 |
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 | 14 | 13 | 13 | 20 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 1.33 | 0.87 | 0.87 |
time (sec) |
N/A | 0.139 | 0.013 | 3.857 | 0.217 | 0.265 | 0.084 | 0.291 | 5.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 86 | 101 | 83 | 86 | 126 | 39 | 87 | 102 |
N.S. |
1 | 1.02 | 1.20 | 0.99 | 1.02 | 1.50 | 0.46 | 1.04 | 1.21 |
time (sec) |
N/A | 0.206 | 0.073 | 4.017 | 0.305 | 0.447 | 0.539 | 0.490 | 5.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 114 | 135 | 111 | 118 | 182 | 39 | 118 | 128 |
N.S. |
1 | 1.04 | 1.23 | 1.01 | 1.07 | 1.65 | 0.35 | 1.07 | 1.16 |
time (sec) |
N/A | 0.217 | 0.136 | 3.965 | 0.321 | 0.291 | 0.791 | 0.496 | 5.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 132 | 170 | 146 | 184 | 212 | 37 | 0 | 0 |
N.S. |
1 | 1.07 | 1.38 | 1.19 | 1.50 | 1.72 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 0.286 | 4.046 | 0.311 | 0.275 | 1.522 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 102 | 142 | 122 | 137 | 165 | 37 | 0 | 0 |
N.S. |
1 | 1.05 | 1.46 | 1.26 | 1.41 | 1.70 | 0.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 0.261 | 4.008 | 0.344 | 0.310 | 0.732 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 116 | 100 | 100 | 173 | 37 | 0 | 0 |
N.S. |
1 | 1.00 | 1.61 | 1.39 | 1.39 | 2.40 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 0.174 | 3.947 | 0.304 | 0.323 | 0.519 | 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 | 19 | 19 | 19 | 18 | 17 | 17 | 31 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.89 | 0.89 | 1.63 | 0.00 | 0.89 |
time (sec) |
N/A | 0.143 | 0.106 | 4.034 | 0.206 | 0.273 | 0.383 | 0.000 | 5.558 |
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 | 44 | 44 | 31 | 26 | 35 | 27 | 68 | 0 | 25 |
N.S. |
1 | 1.00 | 0.70 | 0.59 | 0.80 | 0.61 | 1.55 | 0.00 | 0.57 |
time (sec) |
N/A | 0.163 | 0.130 | 4.023 | 0.213 | 0.291 | 0.519 | 0.000 | 5.625 |
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 | 68 | 74 | 42 | 39 | 52 | 38 | 406 | 0 | 38 |
N.S. |
1 | 1.09 | 0.62 | 0.57 | 0.76 | 0.56 | 5.97 | 0.00 | 0.56 |
time (sec) |
N/A | 0.189 | 0.145 | 3.924 | 0.219 | 0.293 | 0.817 | 0.000 | 5.624 |
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 | 92 | 104 | 53 | 50 | 69 | 49 | 692 | 0 | 76 |
N.S. |
1 | 1.13 | 0.58 | 0.54 | 0.75 | 0.53 | 7.52 | 0.00 | 0.83 |
time (sec) |
N/A | 0.212 | 0.168 | 3.989 | 0.211 | 0.255 | 1.095 | 0.000 | 5.745 |
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 | 38 | 51 | 51 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 4.867 | 0.000 | 0.000 | 0.000 | 0.513 | 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 | 38 | 51 | 51 | 0 | 0 | 0 | 37 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 4.323 | 0.000 | 0.000 | 0.000 | 0.451 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 33 | 46 | 183 | 0 | 0 | 0 | 36 | 0 | 37 |
N.S. |
1 | 1.39 | 5.55 | 0.00 | 0.00 | 0.00 | 1.09 | 0.00 | 1.12 |
time (sec) |
N/A | 0.150 | 0.167 | 0.000 | 0.000 | 0.000 | 0.433 | 0.000 | 5.759 |
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 | 38 | 51 | 51 | 0 | 0 | 0 | 41 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 10.013 | 0.000 | 0.000 | 0.000 | 0.529 | 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 | 38 | 51 | 51 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.34 | 1.34 | 0.00 | 0.00 | 0.00 | 1.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 10.014 | 0.000 | 0.000 | 0.000 | 0.624 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 116 | 106 | 103 | 284 | 37 | 0 | 38 |
N.S. |
1 | 1.00 | 1.61 | 1.47 | 1.43 | 3.94 | 0.51 | 0.00 | 0.53 |
time (sec) |
N/A | 0.157 | 0.056 | 5.000 | 0.297 | 0.298 | 0.516 | 0.000 | 5.704 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 78 | 18 | 69 | 76 | 34 | 0 | 16 |
N.S. |
1 | 1.00 | 1.70 | 0.39 | 1.50 | 1.65 | 0.74 | 0.00 | 0.35 |
time (sec) |
N/A | 0.149 | 0.027 | 4.581 | 0.296 | 0.473 | 0.435 | 0.000 | 5.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 83 | 15 | 78 | 82 | 31 | 0 | 0 |
N.S. |
1 | 1.00 | 1.57 | 0.28 | 1.47 | 1.55 | 0.58 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 0.142 | 4.541 | 0.305 | 0.296 | 0.438 | 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 | 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 | 0.140 | 0.009 | 3.853 | 0.204 | 0.271 | 0.066 | 0.280 | 5.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 136 | 1022 | 151 | 847 | 5902 | 1269 | 860 |
N.S. |
1 | 1.00 | 0.90 | 6.77 | 1.00 | 5.61 | 39.09 | 8.40 | 5.70 |
time (sec) |
N/A | 0.302 | 0.375 | 5.813 | 0.216 | 0.319 | 2.469 | 0.307 | 6.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 88 | 431 | 97 | 367 | 2006 | 540 | 389 |
N.S. |
1 | 1.00 | 0.91 | 4.44 | 1.00 | 3.78 | 20.68 | 5.57 | 4.01 |
time (sec) |
N/A | 0.250 | 0.173 | 4.259 | 0.222 | 0.424 | 1.042 | 0.287 | 6.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 56 | 177 | 61 | 157 | 666 | 224 | 167 |
N.S. |
1 | 1.00 | 0.92 | 2.90 | 1.00 | 2.57 | 10.92 | 3.67 | 2.74 |
time (sec) |
N/A | 0.211 | 0.055 | 3.914 | 0.226 | 0.285 | 0.545 | 0.270 | 6.002 |
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 | 43 | 43 | 40 | 51 | 43 | 85 | 313 | 117 | 93 |
N.S. |
1 | 1.00 | 0.93 | 1.19 | 1.00 | 1.98 | 7.28 | 2.72 | 2.16 |
time (sec) |
N/A | 0.189 | 0.036 | 3.901 | 0.202 | 0.282 | 0.359 | 0.283 | 5.940 |
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 | 25 | 25 | 25 | 30 | 25 | 33 | 94 | 43 | 34 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.32 | 3.76 | 1.72 | 1.36 |
time (sec) |
N/A | 0.167 | 0.023 | 0.040 | 0.218 | 0.311 | 0.244 | 0.276 | 5.836 |
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 | 39 | 39 | 41 | 0 | 0 | 0 | 88 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 2.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.161 | 0.022 | 0.000 | 0.000 | 0.000 | 1.933 | 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 | 39 | 39 | 41 | 0 | 0 | 0 | 520 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 13.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.162 | 0.027 | 0.000 | 0.000 | 0.000 | 25.371 | 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 | 39 | 39 | 41 | 0 | 0 | 0 | 1578 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 40.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.162 | 0.026 | 0.000 | 0.000 | 0.000 | 111.382 | 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 | 64 | 64 | 66 | 0 | 0 | 0 | 54 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 0.118 | 0.000 | 0.000 | 0.000 | 1.431 | 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 | 63 | 65 | 0 | 0 | 0 | 54 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 0.083 | 0.000 | 0.000 | 0.000 | 0.706 | 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 | 63 | 65 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.21 | 1.25 | 0.00 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.082 | 0.000 | 0.000 | 0.000 | 0.572 | 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 | 66 | 66 | 68 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.80 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.120 | 0.000 | 0.000 | 0.000 | 0.743 | 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 | 69 | 69 | 67 | 0 | 0 | 0 | 58 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.116 | 0.000 | 0.000 | 0.000 | 3.135 | 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 | 61 | 68 | 66 | 0 | 0 | 0 | 58 | 0 | 0 |
N.S. |
1 | 1.11 | 1.08 | 0.00 | 0.00 | 0.00 | 0.95 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.101 | 0.000 | 0.000 | 0.000 | 1.082 | 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 | 61 | 68 | 66 | 0 | 0 | 0 | 58 | 0 | 0 |
N.S. |
1 | 1.11 | 1.08 | 0.00 | 0.00 | 0.00 | 0.95 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 0.092 | 0.000 | 0.000 | 0.000 | 0.773 | 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 | 66 | 66 | 64 | 0 | 0 | 0 | 54 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 0.025 | 0.000 | 0.000 | 0.000 | 116.744 | 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 | 22 | 21 | 25 | 104 | 21 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.91 | 1.09 | 4.52 | 0.91 | 0.91 |
time (sec) |
N/A | 0.148 | 0.026 | 3.853 | 0.210 | 0.252 | 0.559 | 0.280 | 5.545 |
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 | 48 | 47 | 40 | 42 | 47 | 58 | 432 | 51 | 68 |
N.S. |
1 | 0.98 | 0.83 | 0.88 | 0.98 | 1.21 | 9.00 | 1.06 | 1.42 |
time (sec) |
N/A | 0.191 | 0.043 | 3.896 | 0.216 | 0.251 | 1.821 | 0.264 | 5.751 |