Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 10 | 9 | 24 | 56 | 9 | 25 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.69 | 1.85 | 4.31 | 0.69 | 1.92 |
time (sec) |
N/A | 0.129 | 0.004 | 2.027 | 0.212 | 0.243 | 0.317 | 0.270 | 4.633 |
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 | 80 | 84 | 50 | 47 | 64 | 46 | 1690 | 61 | 48 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.80 | 0.58 | 21.12 | 0.76 | 0.60 |
time (sec) |
N/A | 0.195 | 0.034 | 2.007 | 0.193 | 0.243 | 1.630 | 0.272 | 4.929 |
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 | 59 | 63 | 39 | 36 | 47 | 35 | 631 | 47 | 36 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.59 | 10.69 | 0.80 | 0.61 |
time (sec) |
N/A | 0.183 | 0.035 | 2.007 | 0.203 | 0.251 | 1.046 | 0.276 | 4.950 |
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 | 28 | 25 | 30 | 24 | 178 | 30 | 24 |
N.S. |
1 | 1.11 | 0.74 | 0.66 | 0.79 | 0.63 | 4.68 | 0.79 | 0.63 |
time (sec) |
N/A | 0.172 | 0.028 | 2.000 | 0.192 | 0.251 | 0.717 | 0.283 | 4.824 |
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 | 0.138 | 0.002 | 2.009 | 0.197 | 0.243 | 0.083 | 0.270 | 4.959 |
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 | 86 | 85 | 103 | 83 | 86 | 235 | 41 | 87 | 106 |
N.S. |
1 | 0.99 | 1.20 | 0.97 | 1.00 | 2.73 | 0.48 | 1.01 | 1.23 |
time (sec) |
N/A | 0.193 | 0.075 | 9.681 | 0.275 | 0.253 | 0.547 | 0.491 | 5.109 |
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 | 41 | 119 | 138 |
N.S. |
1 | 1.03 | 1.24 | 1.01 | 1.07 | 3.13 | 0.37 | 1.08 | 1.25 |
time (sec) |
N/A | 0.208 | 0.153 | 2.058 | 0.278 | 0.261 | 0.750 | 0.495 | 4.973 |
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 | 138 | 143 | 143 | 136 | 158 | 326 | 41 | 142 | 201 |
N.S. |
1 | 1.04 | 1.04 | 0.99 | 1.14 | 2.36 | 0.30 | 1.03 | 1.46 |
time (sec) |
N/A | 0.225 | 0.172 | 2.077 | 0.286 | 0.267 | 1.586 | 0.512 | 5.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 580 | 625 | 79 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.08 | 0.14 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 4.445 | 0.000 | 0.000 | 0.000 | 0.486 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 556 | 595 | 62 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.07 | 0.11 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 4.226 | 0.000 | 0.000 | 0.000 | 0.470 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 529 | 574 | 46 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.09 | 0.09 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.07 |
time (sec) |
N/A | 0.453 | 4.188 | 0.000 | 0.000 | 0.000 | 0.473 | 0.000 | 4.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 546 | 594 | 49 | 0 | 0 | 0 | 27 | 0 | 40 |
N.S. |
1 | 1.09 | 0.09 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.07 |
time (sec) |
N/A | 0.484 | 4.434 | 0.000 | 0.000 | 0.000 | 0.511 | 0.000 | 4.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 578 | 624 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.08 | 0.09 | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.00 |
time (sec) |
N/A | 0.536 | 10.010 | 0.000 | 0.000 | 0.000 | 0.562 | 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 | 80 | 82 | 50 | 47 | 64 | 46 | 1690 | 61 | 48 |
N.S. |
1 | 1.02 | 0.62 | 0.59 | 0.80 | 0.58 | 21.12 | 0.76 | 0.60 |
time (sec) |
N/A | 0.204 | 0.039 | 2.028 | 0.209 | 0.237 | 1.635 | 0.333 | 4.745 |
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 | 59 | 61 | 39 | 36 | 47 | 35 | 631 | 47 | 36 |
N.S. |
1 | 1.03 | 0.66 | 0.61 | 0.80 | 0.59 | 10.69 | 0.80 | 0.61 |
time (sec) |
N/A | 0.189 | 0.029 | 2.004 | 0.201 | 0.248 | 1.049 | 0.339 | 4.569 |
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 | 40 | 27 | 25 | 30 | 23 | 178 | 30 | 24 |
N.S. |
1 | 1.05 | 0.71 | 0.66 | 0.79 | 0.61 | 4.68 | 0.79 | 0.63 |
time (sec) |
N/A | 0.175 | 0.024 | 1.998 | 0.189 | 0.242 | 0.669 | 0.339 | 4.678 |
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 | 0.139 | 0.003 | 1.992 | 0.190 | 0.235 | 0.096 | 0.316 | 4.697 |
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 | 86 | 86 | 101 | 83 | 86 | 123 | 41 | 87 | 102 |
N.S. |
1 | 1.00 | 1.17 | 0.97 | 1.00 | 1.43 | 0.48 | 1.01 | 1.19 |
time (sec) |
N/A | 0.205 | 0.072 | 7.211 | 0.283 | 0.249 | 0.555 | 0.603 | 4.772 |
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 | 107 | 114 | 135 | 111 | 118 | 182 | 41 | 118 | 130 |
N.S. |
1 | 1.07 | 1.26 | 1.04 | 1.10 | 1.70 | 0.38 | 1.10 | 1.21 |
time (sec) |
N/A | 0.214 | 0.116 | 2.083 | 0.289 | 0.256 | 0.776 | 0.542 | 4.767 |
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 | 138 | 144 | 143 | 136 | 158 | 174 | 41 | 142 | 193 |
N.S. |
1 | 1.04 | 1.04 | 0.99 | 1.14 | 1.26 | 0.30 | 1.03 | 1.40 |
time (sec) |
N/A | 0.229 | 0.147 | 2.090 | 0.279 | 0.256 | 1.632 | 0.506 | 4.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 293 | 299 | 79 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.02 | 0.27 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.279 | 4.691 | 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 | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 62 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.00 | 0.23 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 4.221 | 0.000 | 0.000 | 0.000 | 0.489 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 46 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.00 | 0.19 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.15 |
time (sec) |
N/A | 0.236 | 4.145 | 0.000 | 0.000 | 0.000 | 0.468 | 0.000 | 4.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 265 | 265 | 49 | 0 | 0 | 0 | 27 | 0 | 40 |
N.S. |
1 | 1.00 | 0.18 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.15 |
time (sec) |
N/A | 0.256 | 4.810 | 0.000 | 0.000 | 0.000 | 0.537 | 0.000 | 4.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 293 | 295 | 51 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.01 | 0.17 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 10.010 | 0.000 | 0.000 | 0.000 | 0.607 | 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 | 80 | 82 | 50 | 47 | 64 | 58 | 1584 | 70 | 55 |
N.S. |
1 | 1.02 | 0.62 | 0.59 | 0.80 | 0.72 | 19.80 | 0.88 | 0.69 |
time (sec) |
N/A | 0.207 | 0.039 | 2.025 | 0.192 | 0.242 | 1.629 | 0.304 | 4.727 |
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 | 59 | 59 | 38 | 35 | 47 | 46 | 561 | 52 | 41 |
N.S. |
1 | 1.00 | 0.64 | 0.59 | 0.80 | 0.78 | 9.51 | 0.88 | 0.69 |
time (sec) |
N/A | 0.190 | 0.032 | 2.032 | 0.187 | 0.259 | 1.135 | 0.297 | 4.680 |
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 | 24 | 30 | 35 | 46 | 34 | 24 |
N.S. |
1 | 1.05 | 0.71 | 0.63 | 0.79 | 0.92 | 1.21 | 0.89 | 0.63 |
time (sec) |
N/A | 0.173 | 0.030 | 2.023 | 0.191 | 0.253 | 0.229 | 0.285 | 4.647 |
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 | 0.138 | 0.002 | 2.008 | 0.190 | 0.244 | 0.125 | 0.287 | 4.534 |
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 | 104 | 106 | 121 | 122 | 100 | 327 | 41 | 101 | 123 |
N.S. |
1 | 1.02 | 1.16 | 1.17 | 0.96 | 3.14 | 0.39 | 0.97 | 1.18 |
time (sec) |
N/A | 0.210 | 0.108 | 2.069 | 0.267 | 0.265 | 0.633 | 0.518 | 4.648 |
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 | 123 | 134 | 135 | 146 | 136 | 453 | 41 | 134 | 178 |
N.S. |
1 | 1.09 | 1.10 | 1.19 | 1.11 | 3.68 | 0.33 | 1.09 | 1.45 |
time (sec) |
N/A | 0.230 | 0.210 | 2.111 | 0.287 | 0.257 | 1.013 | 0.526 | 4.722 |
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 | 159 | 164 | 154 | 163 | 176 | 437 | 41 | 154 | 224 |
N.S. |
1 | 1.03 | 0.97 | 1.03 | 1.11 | 2.75 | 0.26 | 0.97 | 1.41 |
time (sec) |
N/A | 0.254 | 0.216 | 2.133 | 0.280 | 0.262 | 2.570 | 0.519 | 4.847 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 577 | 624 | 65 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.08 | 0.11 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 5.304 | 0.000 | 0.000 | 0.000 | 0.518 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 553 | 594 | 55 | 0 | 0 | 0 | 27 | 0 | 0 |
N.S. |
1 | 1.07 | 0.10 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.452 | 4.994 | 0.000 | 0.000 | 0.000 | 0.498 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 552 | 597 | 58 | 0 | 0 | 0 | 24 | 0 | 37 |
N.S. |
1 | 1.08 | 0.11 | 0.00 | 0.00 | 0.00 | 0.04 | 0.00 | 0.07 |
time (sec) |
N/A | 0.485 | 4.615 | 0.000 | 0.000 | 0.000 | 0.488 | 0.000 | 4.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 571 | 623 | 52 | 0 | 0 | 0 | 27 | 0 | 40 |
N.S. |
1 | 1.09 | 0.09 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.07 |
time (sec) |
N/A | 0.506 | 5.277 | 0.000 | 0.000 | 0.000 | 0.589 | 0.000 | 4.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 599 | 653 | 54 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 1.09 | 0.09 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.537 | 10.009 | 0.000 | 0.000 | 0.000 | 0.626 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 195 | 209 | 233 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 1.903 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 164 | 171 | 204 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.04 | 1.24 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 1.409 | 0.000 | 0.000 | 0.000 | 18.763 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 133 | 140 | 173 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.05 | 1.30 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.899 | 0.000 | 0.000 | 0.000 | 0.875 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 140 | 182 | 0 | 0 | 0 | 49 | 0 | 0 |
N.S. |
1 | 1.07 | 1.39 | 0.00 | 0.00 | 0.00 | 0.37 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 0.556 | 0.000 | 0.000 | 0.000 | 1.603 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 21 | 35 | 25 | 78 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.75 | 1.25 | 0.89 | 2.79 | 0.00 | 0.00 |
time (sec) |
N/A | 0.145 | 0.898 | 2.002 | 0.272 | 0.283 | 36.456 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 46 | 31 | 0 | 46 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.54 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 2.200 | 7.283 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 47 | 42 | 0 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.55 | 0.49 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 2.835 | 2.020 | 0.000 | 0.265 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 129 | 58 | 53 | 64 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 0.51 | 0.47 | 0.57 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 4.580 | 7.292 | 0.219 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 451 | 396 | 103 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 0.88 | 0.23 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.400 | 10.057 | 0.000 | 0.000 | 0.000 | 86.066 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 418 | 358 | 85 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 0.86 | 0.20 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.349 | 10.030 | 0.000 | 0.000 | 0.000 | 3.232 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 381 | 320 | 54 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 0.84 | 0.14 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 10.011 | 0.000 | 0.000 | 0.000 | 0.741 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 391 | 326 | 56 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 0.83 | 0.14 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 10.011 | 0.000 | 0.000 | 0.000 | 6.639 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 422 | 366 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.380 | 10.014 | 0.000 | 0.000 | 0.000 | 0.000 | 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 | 58 | 58 | 56 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 9.881 | 0.000 | 0.000 | 0.000 | 1.011 | 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 | 58 | 58 | 56 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 10.011 | 0.000 | 0.000 | 0.000 | 0.738 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 54 | 0 | 0 | 0 | 49 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.88 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 10.011 | 0.000 | 0.000 | 0.000 | 1.153 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 223 | 240 | 259 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 2.641 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 192 | 202 | 230 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.05 | 1.20 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 1.637 | 0.000 | 0.000 | 0.000 | 42.337 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 171 | 204 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.05 | 1.25 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.250 | 1.266 | 0.000 | 0.000 | 0.000 | 3.572 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 153 | 172 | 203 | 0 | 0 | 0 | 49 | 0 | 0 |
N.S. |
1 | 1.12 | 1.33 | 0.00 | 0.00 | 0.00 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.267 | 0.840 | 0.000 | 0.000 | 0.000 | 3.848 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 157 | 171 | 200 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.09 | 1.27 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.267 | 0.927 | 0.000 | 0.000 | 0.000 | 36.550 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 21 | 0 | 43 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.75 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.133 | 2.549 | 2.012 | 0.000 | 0.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 36 | 31 | 0 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 0.54 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 3.029 | 2.068 | 0.000 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 93 | 47 | 42 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.55 | 0.49 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.176 | 4.196 | 2.085 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 479 | 427 | 102 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.404 | 10.060 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 448 | 389 | 89 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 0.87 | 0.20 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 10.041 | 0.000 | 0.000 | 0.000 | 7.841 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 414 | 351 | 55 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 0.85 | 0.13 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 10.012 | 0.000 | 0.000 | 0.000 | 2.544 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 414 | 354 | 57 | 0 | 0 | 0 | 32 | 0 | 0 |
N.S. |
1 | 0.86 | 0.14 | 0.00 | 0.00 | 0.00 | 0.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.345 | 10.012 | 0.000 | 0.000 | 0.000 | 8.932 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 419 | 360 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 10.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 450 | 400 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.387 | 10.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 57 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.78 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 10.012 | 0.000 | 0.000 | 0.000 | 4.381 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 57 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.78 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 10.012 | 0.000 | 0.000 | 0.000 | 2.568 | 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 | 57 | 57 | 55 | 0 | 0 | 0 | 49 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 |
time (sec) |
N/A | 0.166 | 10.016 | 0.000 | 0.000 | 0.000 | 2.549 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 198 | 216 | 233 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 5.831 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 167 | 178 | 207 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.267 | 2.481 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 140 | 174 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.07 | 1.33 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 1.425 | 0.000 | 0.000 | 0.000 | 17.527 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 106 | 113 | 146 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.07 | 1.38 | 0.00 | 0.00 | 0.00 | 0.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 0.849 | 0.000 | 0.000 | 0.000 | 0.809 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 21 | 35 | 25 | 36 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.75 | 1.25 | 0.89 | 1.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.146 | 0.882 | 2.037 | 0.199 | 0.298 | 2.064 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 34 | 29 | 0 | 35 | 78 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 0.51 | 0.00 | 0.61 | 1.37 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 1.510 | 7.380 | 0.000 | 0.279 | 75.128 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 91 | 47 | 42 | 0 | 46 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.55 | 0.49 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 3.593 | 2.052 | 0.000 | 0.264 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 127 | 58 | 53 | 64 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.51 | 0.47 | 0.57 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 5.167 | 7.382 | 0.202 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 421 | 365 | 87 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 0.87 | 0.21 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.359 | 10.027 | 0.000 | 0.000 | 0.000 | 84.860 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 388 | 327 | 66 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 0.84 | 0.17 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.328 | 10.018 | 0.000 | 0.000 | 0.000 | 2.703 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 364 | 299 | 54 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 0.82 | 0.15 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 10.012 | 0.000 | 0.000 | 0.000 | 0.932 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 394 | 332 | 56 | 0 | 0 | 0 | 48 | 0 | 0 |
N.S. |
1 | 0.84 | 0.14 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.354 | 10.013 | 0.000 | 0.000 | 0.000 | 14.323 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 425 | 372 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.366 | 10.016 | 0.000 | 0.000 | 0.000 | 0.000 | 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 | 58 | 58 | 56 | 0 | 0 | 0 | 44 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 10.013 | 0.000 | 0.000 | 0.000 | 0.842 | 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 | 58 | 58 | 56 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 10.014 | 0.000 | 0.000 | 0.000 | 0.758 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 54 | 0 | 0 | 0 | 48 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 10.012 | 0.000 | 0.000 | 0.000 | 1.582 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 132 | 93 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.09 | 0.77 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 5.865 | 0.000 | 0.000 | 0.000 | 0.562 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 102 | 62 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.05 | 0.64 | 0.00 | 0.00 | 0.00 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 5.750 | 0.000 | 0.000 | 0.000 | 0.526 | 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 | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 46 | 0 | 0 | 0 | 26 | 0 | 37 |
N.S. |
1 | 1.00 | 0.61 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.49 |
time (sec) |
N/A | 0.169 | 5.637 | 0.000 | 0.000 | 0.000 | 0.502 | 0.000 | 5.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 49 | 0 | 0 | 0 | 29 | 0 | 40 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.40 | 0.00 | 0.56 |
time (sec) |
N/A | 0.169 | 5.800 | 0.000 | 0.000 | 0.000 | 0.557 | 0.000 | 5.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 100 | 51 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.01 | 0.52 | 0.00 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 10.009 | 0.000 | 0.000 | 0.000 | 0.564 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 123 | 130 | 51 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.06 | 0.41 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 10.012 | 0.000 | 0.000 | 0.000 | 0.662 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 137 | 95 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.09 | 0.75 | 0.00 | 0.00 | 0.00 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 6.012 | 0.000 | 0.000 | 0.000 | 0.589 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 106 | 64 | 0 | 0 | 0 | 31 | 0 | 0 |
N.S. |
1 | 1.05 | 0.63 | 0.00 | 0.00 | 0.00 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 6.129 | 0.000 | 0.000 | 0.000 | 0.543 | 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 | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 47 | 0 | 0 | 0 | 27 | 0 | 38 |
N.S. |
1 | 1.00 | 0.60 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.49 |
time (sec) |
N/A | 0.171 | 5.876 | 0.000 | 0.000 | 0.000 | 0.521 | 0.000 | 4.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 50 | 0 | 0 | 0 | 31 | 0 | 41 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 0.00 | 0.41 | 0.00 | 0.54 |
time (sec) |
N/A | 0.174 | 5.902 | 0.000 | 0.000 | 0.000 | 0.555 | 0.000 | 5.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 52 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 10.016 | 0.000 | 0.000 | 0.000 | 0.595 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 134 | 52 | 0 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.05 | 0.41 | 0.00 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 10.011 | 0.000 | 0.000 | 0.000 | 0.670 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 143 | 156 | 93 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.09 | 0.65 | 0.00 | 0.00 | 0.00 | 0.20 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 7.131 | 0.000 | 0.000 | 0.000 | 0.672 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 126 | 62 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.06 | 0.52 | 0.00 | 0.00 | 0.00 | 0.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 6.841 | 0.000 | 0.000 | 0.000 | 0.597 | 0.000 | 0.000 |