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 | A | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 34 | 37 | 37 | 37 | 45 | 60 | 37 | 230 |
N.S. |
1 | 0.81 | 0.88 | 0.88 | 0.88 | 1.07 | 1.43 | 0.88 | 5.48 |
time (sec) |
N/A | 0.274 | 0.015 | 0.286 | 0.171 | 0.289 | 0.562 | 0.271 | 0.787 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 36 | 40 | 140 | 40 | 58 | 0 | 40 | 58 |
N.S. |
1 | 0.80 | 0.89 | 3.11 | 0.89 | 1.29 | 0.00 | 0.89 | 1.29 |
time (sec) |
N/A | 0.306 | 0.027 | 6.573 | 0.172 | 0.276 | 0.000 | 0.272 | 0.739 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 149 | 86 | 260 | 0 | 76 | 138 | 94 | 0 |
N.S. |
1 | 1.03 | 0.60 | 1.81 | 0.00 | 0.53 | 0.96 | 0.65 | 0.00 |
time (sec) |
N/A | 0.290 | 0.055 | 0.031 | 0.000 | 0.280 | 0.895 | 0.333 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 119 | 74 | 212 | 0 | 65 | 107 | 80 | 0 |
N.S. |
1 | 1.03 | 0.64 | 1.83 | 0.00 | 0.56 | 0.92 | 0.69 | 0.00 |
time (sec) |
N/A | 0.269 | 0.038 | 0.025 | 0.000 | 0.277 | 0.389 | 0.349 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 89 | 59 | 164 | 0 | 49 | 73 | 63 | 0 |
N.S. |
1 | 1.01 | 0.67 | 1.86 | 0.00 | 0.56 | 0.83 | 0.72 | 0.00 |
time (sec) |
N/A | 0.242 | 0.028 | 0.023 | 0.000 | 0.275 | 0.126 | 0.327 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 288 | 189 | 171 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.66 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.734 | 1.852 | 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 | B | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 54 | 122 | 58 | 44 | 53 | 104 | 0 |
N.S. |
1 | 1.00 | 0.95 | 2.14 | 1.02 | 0.77 | 0.93 | 1.82 | 0.00 |
time (sec) |
N/A | 0.215 | 0.028 | 0.023 | 0.216 | 0.274 | 1.872 | 0.351 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 84 | 67 | 69 | 68 | 58 | 83 | 198 | 0 |
N.S. |
1 | 0.99 | 0.79 | 0.81 | 0.80 | 0.68 | 0.98 | 2.33 | 0.00 |
time (sec) |
N/A | 0.237 | 0.036 | 0.026 | 0.191 | 0.301 | 2.186 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 114 | 78 | 117 | 109 | 68 | 352 | 275 | 0 |
N.S. |
1 | 1.01 | 0.69 | 1.04 | 0.96 | 0.60 | 3.12 | 2.43 | 0.00 |
time (sec) |
N/A | 0.257 | 0.043 | 0.024 | 0.197 | 0.295 | 2.676 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 144 | 89 | 165 | 132 | 80 | 575 | 353 | 0 |
N.S. |
1 | 1.02 | 0.63 | 1.17 | 0.94 | 0.57 | 4.08 | 2.50 | 0.00 |
time (sec) |
N/A | 0.278 | 0.053 | 0.027 | 0.186 | 0.331 | 3.466 | 0.352 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 116 | 83 | 231 | 167 | 79 | 136 | 137 | 0 |
N.S. |
1 | 0.94 | 0.67 | 1.86 | 1.35 | 0.64 | 1.10 | 1.10 | 0.00 |
time (sec) |
N/A | 0.286 | 0.076 | 0.038 | 0.190 | 0.270 | 1.434 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 97 | 72 | 183 | 139 | 68 | 105 | 101 | 0 |
N.S. |
1 | 0.98 | 0.73 | 1.85 | 1.40 | 0.69 | 1.06 | 1.02 | 0.00 |
time (sec) |
N/A | 0.267 | 0.067 | 0.026 | 0.185 | 0.266 | 0.589 | 0.347 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 76 | 60 | 135 | 111 | 56 | 75 | 64 | 0 |
N.S. |
1 | 1.03 | 0.81 | 1.82 | 1.50 | 0.76 | 1.01 | 0.86 | 0.00 |
time (sec) |
N/A | 0.255 | 0.070 | 0.023 | 0.192 | 0.266 | 0.276 | 0.342 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 47 | 43 | 86 | 77 | 41 | 41 | 40 | 35 |
N.S. |
1 | 1.09 | 1.00 | 2.00 | 1.79 | 0.95 | 0.95 | 0.93 | 0.81 |
time (sec) |
N/A | 0.212 | 0.013 | 0.021 | 0.201 | 0.269 | 0.129 | 0.534 | 0.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 86 | 90 | 0 | 148 | 66 | 53 | 0 |
N.S. |
1 | 1.00 | 1.46 | 1.53 | 0.00 | 2.51 | 1.12 | 0.90 | 0.00 |
time (sec) |
N/A | 0.242 | 0.042 | 0.023 | 0.000 | 0.295 | 1.930 | 0.367 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 85 | 101 | 130 | 0 | 198 | 82 | 87 | 0 |
N.S. |
1 | 0.93 | 1.11 | 1.43 | 0.00 | 2.18 | 0.90 | 0.96 | 0.00 |
time (sec) |
N/A | 0.246 | 0.063 | 0.022 | 0.000 | 0.304 | 3.887 | 0.343 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 115 | 114 | 178 | 0 | 228 | 148 | 116 | 0 |
N.S. |
1 | 0.97 | 0.96 | 1.50 | 0.00 | 1.92 | 1.24 | 0.97 | 0.00 |
time (sec) |
N/A | 0.261 | 0.083 | 0.027 | 0.000 | 0.312 | 6.188 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 211 | 218 | 170 | 0 | 0 | 96 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.81 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.337 | 11.410 | 0.000 | 0.000 | 0.132 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 181 | 186 | 158 | 0 | 0 | 85 | 75 | 0 | 0 |
N.S. |
1 | 1.03 | 0.87 | 0.00 | 0.00 | 0.47 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.298 | 0.312 | 0.000 | 0.000 | 0.112 | 43.609 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 153 | 154 | 147 | 0 | 0 | 71 | 75 | 0 | 0 |
N.S. |
1 | 1.01 | 0.96 | 0.00 | 0.00 | 0.46 | 0.49 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 0.213 | 0.000 | 0.000 | 0.100 | 8.640 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 115 | 0 | 0 | 52 | 71 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.43 | 0.58 | 0.00 | 0.00 |
time (sec) |
N/A | 0.250 | 0.093 | 0.000 | 0.000 | 0.093 | 7.972 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 156 | 154 | 150 | 0 | 0 | 73 | 78 | 0 | 0 |
N.S. |
1 | 0.99 | 0.96 | 0.00 | 0.00 | 0.47 | 0.50 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 0.196 | 0.000 | 0.000 | 0.095 | 44.905 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 162 | 0 | 0 | 86 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.308 | 0.223 | 0.000 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 218 | 171 | 0 | 0 | 97 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.79 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.335 | 0.419 | 0.000 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 326 | 321 | 139 | 0 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.43 | 0.00 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.432 | 10.120 | 0.000 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 296 | 289 | 119 | 0 | 0 | 79 | 75 | 0 | 0 |
N.S. |
1 | 0.98 | 0.40 | 0.00 | 0.00 | 0.27 | 0.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.409 | 0.083 | 0.000 | 0.000 | 0.109 | 9.881 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 260 | 253 | 89 | 0 | 0 | 55 | 71 | 0 | 0 |
N.S. |
1 | 0.97 | 0.34 | 0.00 | 0.00 | 0.21 | 0.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.368 | 0.081 | 0.000 | 0.000 | 0.106 | 9.308 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 298 | 285 | 121 | 0 | 0 | 80 | 78 | 0 | 0 |
N.S. |
1 | 0.96 | 0.41 | 0.00 | 0.00 | 0.27 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 0.098 | 0.000 | 0.000 | 0.101 | 10.110 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 331 | 317 | 137 | 0 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.41 | 0.00 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.419 | 0.086 | 0.000 | 0.000 | 0.094 | 0.000 | 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 | 50 | 50 | 50 | 43 | 42 | 47 | 41 | 43 | 42 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.84 | 0.94 | 0.82 | 0.86 | 0.84 |
time (sec) |
N/A | 0.295 | 0.014 | 0.361 | 0.319 | 0.274 | 0.286 | 0.279 | 0.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 42 | 36 | 39 | 38 | 34 | 38 | 39 |
N.S. |
1 | 1.00 | 1.05 | 0.90 | 0.98 | 0.95 | 0.85 | 0.95 | 0.98 |
time (sec) |
N/A | 0.250 | 0.135 | 0.415 | 0.963 | 0.292 | 3.748 | 0.387 | 1.017 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 431 | 429 | 0 | 1664 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 3.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.142 | 0.000 | 0.580 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 283 | 285 | 0 | 916 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.00 | 3.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.799 | 0.000 | 0.476 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 93 | 93 | 368 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.95 | 3.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 0.029 | 0.324 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 42 | 36 | 39 | 48 | 61 | 38 | 39 |
N.S. |
1 | 1.00 | 1.05 | 0.90 | 0.98 | 1.20 | 1.52 | 0.95 | 0.98 |
time (sec) |
N/A | 0.263 | 0.224 | 0.279 | 0.426 | 0.243 | 2.756 | 0.371 | 0.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 42 | 36 | 163 | 91 | 126 | 38 | 39 |
N.S. |
1 | 1.00 | 1.05 | 0.90 | 4.08 | 2.28 | 3.15 | 0.95 | 0.98 |
time (sec) |
N/A | 0.250 | 1.019 | 0.296 | 0.536 | 0.245 | 6.120 | 0.517 | 1.553 |
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 | 37 | 37 | 34 | 41 | 38 | 33 | 158 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.11 | 1.03 | 0.89 | 4.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.047 | 0.270 | 0.213 | 0.278 | 0.665 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 20 | 20 | 81 | 13 | 32 | 0 | 19 |
N.S. |
1 | 1.00 | 0.87 | 0.87 | 3.52 | 0.57 | 1.39 | 0.00 | 0.83 |
time (sec) |
N/A | 0.162 | 0.014 | 0.114 | 0.186 | 0.253 | 0.102 | 0.000 | 0.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 20 | 20 | 57 | 13 | 76 | 0 | 19 |
N.S. |
1 | 1.00 | 0.87 | 0.87 | 2.48 | 0.57 | 3.30 | 0.00 | 0.83 |
time (sec) |
N/A | 0.178 | 0.012 | 0.110 | 0.185 | 0.251 | 0.167 | 0.000 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 15 | 12 | 10 | 42 | 26 | 16 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 0.75 | 0.62 | 2.62 | 1.62 | 1.00 |
time (sec) |
N/A | 0.156 | 0.006 | 0.101 | 0.182 | 0.260 | 0.066 | 0.289 | 0.047 |
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 | 21 | 21 | 19 | 23 | 42 | 8 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.10 | 2.00 | 0.38 | 1.62 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 0.014 | 0.127 | 0.280 | 0.263 | 0.335 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 31 | 56 | 40 | 42 | 160 | 62 | 0 |
N.S. |
1 | 1.00 | 0.86 | 1.56 | 1.11 | 1.17 | 4.44 | 1.72 | 0.00 |
time (sec) |
N/A | 0.187 | 0.035 | 0.317 | 0.191 | 0.261 | 1.857 | 0.279 | 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 | 23 | 23 | 20 | 26 | 17 | 17 | 26 | 19 | 25 |
N.S. |
1 | 1.00 | 0.87 | 1.13 | 0.74 | 0.74 | 1.13 | 0.83 | 1.09 |
time (sec) |
N/A | 0.171 | 0.014 | 0.247 | 0.191 | 0.231 | 0.104 | 0.282 | 0.650 |
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 | 20 | 26 | 17 | 17 | 49 | 19 | 25 |
N.S. |
1 | 1.00 | 0.87 | 1.13 | 0.74 | 0.74 | 2.13 | 0.83 | 1.09 |
time (sec) |
N/A | 0.180 | 0.014 | 0.221 | 0.184 | 0.236 | 0.162 | 0.273 | 0.078 |
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 | 16 | 16 | 18 | 22 | 15 | 15 | 24 | 15 | 21 |
N.S. |
1 | 1.00 | 1.12 | 1.38 | 0.94 | 0.94 | 1.50 | 0.94 | 1.31 |
time (sec) |
N/A | 0.163 | 0.007 | 0.118 | 0.188 | 0.236 | 0.059 | 0.279 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 27 | 14 | 14 | 27 | 15 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.42 | 0.74 | 0.74 | 1.42 | 0.79 | 0.00 |
time (sec) |
N/A | 0.185 | 0.014 | 0.168 | 0.191 | 0.258 | 1.351 | 0.262 | 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 | 16 | 16 | 18 | 15 | 12 | 10 | 42 | 26 | 16 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 0.75 | 0.62 | 2.62 | 1.62 | 1.00 |
time (sec) |
N/A | 0.155 | 0.000 | 0.040 | 0.193 | 0.255 | 0.066 | 0.288 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 403 | 519 | 371 | 8039 | 0 | 1965 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.92 | 19.95 | 0.00 | 4.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.598 | 3.162 | 27.782 | 0.000 | 0.351 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 305 | 396 | 281 | 7647 | 0 | 1545 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.92 | 25.07 | 0.00 | 5.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.120 | 2.847 | 2.852 | 0.000 | 0.339 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 277 | 549 | 1001 | 433 | 1101 | 0 | 0 | 0 |
N.S. |
1 | 1.40 | 2.77 | 5.06 | 2.19 | 5.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.675 | 5.607 | 2.408 | 0.342 | 0.343 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 0 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.00 | 1.13 | 1.13 |
time (sec) |
N/A | 0.293 | 2.147 | 0.082 | 232.907 | 0.264 | 0.000 | 1.319 | 0.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 154 | 198 | 140 | 1487 | 310 | 322 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.91 | 9.66 | 2.01 | 2.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.805 | 0.310 | 1.445 | 0.206 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 123 | 155 | 110 | 1452 | 218 | 271 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 0.89 | 11.80 | 1.77 | 2.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.623 | 0.181 | 1.071 | 0.204 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 107 | 967 | 563 | 448 | 202 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 11.38 | 6.62 | 5.27 | 2.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.454 | 11.097 | 1.112 | 0.281 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 0 | 37 | 0 | 21 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 1.76 | 0.00 | 1.00 | 1.05 |
time (sec) |
N/A | 0.301 | 0.575 | 0.080 | 0.000 | 0.256 | 0.000 | 1.005 | 0.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 155 | 199 | 137 | 1488 | 310 | 322 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.88 | 9.60 | 2.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.827 | 0.315 | 1.480 | 0.214 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 124 | 156 | 111 | 1453 | 218 | 271 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 0.90 | 11.72 | 1.76 | 2.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.649 | 0.211 | 0.981 | 0.222 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 108 | 847 | 594 | 448 | 200 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 9.85 | 6.91 | 5.21 | 2.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 8.388 | 1.169 | 0.293 | 0.294 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 19 | 0 | 37 | 0 | 21 | 22 |
N.S. |
1 | 1.00 | 1.10 | 0.90 | 0.00 | 1.76 | 0.00 | 1.00 | 1.05 |
time (sec) |
N/A | 0.317 | 0.876 | 0.082 | 0.000 | 0.260 | 0.000 | 1.170 | 1.074 |
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 | 16 | 16 | 18 | 22 | 15 | 15 | 24 | 15 | 21 |
N.S. |
1 | 1.00 | 1.12 | 1.38 | 0.94 | 0.94 | 1.50 | 0.94 | 1.31 |
time (sec) |
N/A | 0.160 | 0.001 | 0.054 | 0.174 | 0.235 | 0.059 | 0.288 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 399 | 515 | 360 | 7869 | 0 | 1589 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.90 | 19.72 | 0.00 | 3.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.586 | 3.069 | 30.662 | 0.000 | 0.433 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 303 | 394 | 275 | 7501 | 0 | 1289 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 0.91 | 24.76 | 0.00 | 4.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.110 | 2.469 | 3.151 | 0.000 | 0.411 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 277 | 1648 | 1145 | 532 | 965 | 0 | 0 | 0 |
N.S. |
1 | 1.40 | 8.32 | 5.78 | 2.69 | 4.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.683 | 21.134 | 2.872 | 0.342 | 0.399 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-1) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 0 | 17 | 0 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 0.00 | 1.13 | 0.00 | 1.13 | 1.13 |
time (sec) |
N/A | 0.286 | 1.983 | 0.138 | 0.000 | 0.257 | 0.000 | 3.784 | 0.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 154 | 198 | 136 | 1487 | 309 | 166 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 0.88 | 9.66 | 2.01 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.799 | 0.282 | 1.420 | 0.210 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 123 | 155 | 110 | 1452 | 217 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 0.89 | 11.80 | 1.76 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.638 | 0.195 | 1.101 | 0.191 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 107 | 929 | 584 | 458 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 10.93 | 6.87 | 5.39 | 1.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.443 | 11.672 | 1.070 | 0.360 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 23 | 0 | 37 | 0 | 25 | 23 |
N.S. |
1 | 1.00 | 1.10 | 1.10 | 0.00 | 1.76 | 0.00 | 1.19 | 1.10 |
time (sec) |
N/A | 0.292 | 0.539 | 0.125 | 0.000 | 0.260 | 0.000 | 1.798 | 1.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 155 | 199 | 140 | 1488 | 311 | 166 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.90 | 9.60 | 2.01 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.824 | 0.291 | 1.497 | 0.223 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 124 | 156 | 110 | 1453 | 219 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 0.89 | 11.72 | 1.77 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.633 | 0.191 | 1.098 | 0.197 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 108 | 872 | 625 | 458 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 10.14 | 7.27 | 5.33 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.448 | 6.715 | 1.186 | 0.295 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | F(-2) | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 23 | 0 | 37 | 0 | 25 | 23 |
N.S. |
1 | 1.00 | 1.10 | 1.10 | 0.00 | 1.76 | 0.00 | 1.19 | 1.10 |
time (sec) |
N/A | 0.305 | 0.540 | 0.135 | 0.000 | 0.259 | 0.000 | 2.043 | 1.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 56 | 52 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.44 | 1.33 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.310 | 0.046 | 0.652 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 74 | 77 | 93 | 632 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.26 | 8.54 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.445 | 0.042 | 0.561 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 108 | 113 | 121 | 658 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.12 | 6.09 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.590 | 0.072 | 0.744 | 0.000 | 0.359 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 299 | 327 | 600 | 3570 | 0 | 1460 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 2.01 | 11.94 | 0.00 | 4.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.150 | 0.785 | 15.921 | 0.000 | 0.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 229 | 251 | 375 | 2668 | 0 | 1002 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.64 | 11.65 | 0.00 | 4.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.869 | 0.427 | 10.447 | 0.000 | 0.326 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 159 | 175 | 237 | 1776 | 0 | 600 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.49 | 11.17 | 0.00 | 3.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.601 | 0.235 | 1.237 | 0.000 | 0.329 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 80 | 91 | 160 | 0 | 334 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.23 | 2.16 | 0.00 | 4.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.356 | 0.024 | 0.825 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 3 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 0.20 | 1.13 |
time (sec) |
N/A | 0.217 | 11.143 | 0.129 | 1.555 | 0.271 | 2.953 | 105.119 | 0.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 355 | 441 | 438 | 6917 | 0 | 1289 | 0 | 0 | 0 |
N.S. |
1 | 1.24 | 1.23 | 19.48 | 0.00 | 3.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.441 | 0.990 | 26.221 | 0.000 | 0.370 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 267 | 343 | 330 | 6567 | 0 | 1067 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 1.24 | 24.60 | 0.00 | 4.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.046 | 0.783 | 3.002 | 0.000 | 0.357 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 237 | 288 | 352 | 0 | 825 | 0 | 0 | 0 |
N.S. |
1 | 1.36 | 1.66 | 2.02 | 0.00 | 4.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.637 | 2.551 | 2.177 | 0.000 | 0.390 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 0 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.00 | 1.13 | 1.13 |
time (sec) |
N/A | 0.289 | 6.491 | 0.108 | 1.060 | 0.264 | 0.000 | 0.495 | 0.777 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 142 | 167 | 134 | 1406 | 129 | 293 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.94 | 9.90 | 0.91 | 2.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.810 | 0.168 | 1.599 | 1.316 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 113 | 132 | 103 | 1370 | 106 | 247 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.91 | 12.12 | 0.94 | 2.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.635 | 0.073 | 0.908 | 1.257 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 92 | 71 | 545 | 80 | 187 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.90 | 6.90 | 1.01 | 2.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.453 | 1.656 | 1.027 | 1.229 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 17 | 72 | 37 | 0 | 19 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 3.79 | 1.95 | 0.00 | 1.00 | 1.05 |
time (sec) |
N/A | 0.283 | 3.373 | 0.146 | 0.590 | 0.264 | 0.000 | 0.337 | 1.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 145 | 170 | 134 | 1409 | 129 | 293 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.92 | 9.72 | 0.89 | 2.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.817 | 0.163 | 1.619 | 1.278 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 116 | 136 | 103 | 1373 | 107 | 247 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.89 | 11.84 | 0.92 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.635 | 0.089 | 0.968 | 1.279 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 96 | 71 | 516 | 80 | 187 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.87 | 6.29 | 0.98 | 2.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.451 | 1.679 | 1.015 | 1.274 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 24 | 20 | 77 | 37 | 0 | 19 | 20 |
N.S. |
1 | 1.00 | 1.09 | 0.91 | 3.50 | 1.68 | 0.00 | 0.86 | 0.91 |
time (sec) |
N/A | 0.293 | 3.306 | 0.141 | 0.614 | 0.254 | 0.000 | 0.341 | 1.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 299 | 327 | 600 | 3570 | 0 | 1460 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 2.01 | 11.94 | 0.00 | 4.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.222 | 0.299 | 15.857 | 0.000 | 0.358 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 229 | 251 | 375 | 2668 | 0 | 1002 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.64 | 11.65 | 0.00 | 4.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.834 | 0.176 | 10.369 | 0.000 | 0.342 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 159 | 175 | 237 | 1777 | 0 | 600 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.49 | 11.18 | 0.00 | 3.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.588 | 0.116 | 1.340 | 0.000 | 0.337 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 79 | 91 | 160 | 0 | 334 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.25 | 2.19 | 0.00 | 4.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 0.021 | 0.837 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 17 | 15 | 17 | 17 | 0 | 3 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.00 | 0.20 | 1.13 |
time (sec) |
N/A | 0.216 | 3.179 | 0.135 | 1.554 | 0.251 | 0.000 | 90.476 | 0.713 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 351 | 437 | 442 | 6845 | 0 | 1269 | 0 | 0 | 0 |
N.S. |
1 | 1.25 | 1.26 | 19.50 | 0.00 | 3.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.436 | 0.940 | 24.977 | 0.000 | 0.361 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 265 | 339 | 334 | 6495 | 0 | 1051 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 1.26 | 24.51 | 0.00 | 3.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.053 | 0.682 | 3.421 | 0.000 | 0.368 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 237 | 287 | 352 | 0 | 813 | 0 | 0 | 0 |
N.S. |
1 | 1.36 | 1.65 | 2.02 | 0.00 | 4.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.645 | 2.203 | 2.573 | 0.000 | 0.386 | 0.000 | 0.000 | 0.000 |