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 | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 124 | 140 | 90 | 0 | 94 | 0 | 390 | 179 |
N.S. |
1 | 0.84 | 0.95 | 0.61 | 0.00 | 0.64 | 0.00 | 2.65 | 1.22 |
time (sec) |
N/A | 0.314 | 0.470 | 0.070 | 0.000 | 0.287 | 0.000 | 0.356 | 16.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 86 | 101 | 66 | 0 | 70 | 0 | 206 | 129 |
N.S. |
1 | 0.91 | 1.06 | 0.69 | 0.00 | 0.74 | 0.00 | 2.17 | 1.36 |
time (sec) |
N/A | 0.269 | 0.357 | 0.058 | 0.000 | 0.276 | 0.000 | 0.351 | 16.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 41 | 35 | 40 | 0 | 29 | 136 | 75 | 79 |
N.S. |
1 | 0.87 | 0.74 | 0.85 | 0.00 | 0.62 | 2.89 | 1.60 | 1.68 |
time (sec) |
N/A | 0.238 | 0.215 | 0.018 | 0.000 | 0.275 | 0.364 | 0.342 | 16.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 88 | 160 | 73 | 0 | 318 | 0 | 1015 | 2983 |
N.S. |
1 | 0.91 | 1.65 | 0.75 | 0.00 | 3.28 | 0.00 | 10.46 | 30.75 |
time (sec) |
N/A | 0.262 | 0.504 | 0.025 | 0.000 | 0.317 | 0.000 | 0.509 | 32.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 96 | 187 | 88 | 0 | 399 | 0 | 1192 | 2642 |
N.S. |
1 | 0.93 | 1.82 | 0.85 | 0.00 | 3.87 | 0.00 | 11.57 | 25.65 |
time (sec) |
N/A | 0.258 | 0.816 | 0.034 | 0.000 | 0.307 | 0.000 | 2.443 | 35.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 206 | 188 | 604 | 0 | 196 | 0 | 797 | 1358 |
N.S. |
1 | 0.90 | 0.82 | 2.65 | 0.00 | 0.86 | 0.00 | 3.50 | 5.96 |
time (sec) |
N/A | 0.516 | 0.526 | 0.042 | 0.000 | 0.290 | 0.000 | 0.356 | 146.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 151 | 133 | 431 | 0 | 149 | 0 | 445 | 1012 |
N.S. |
1 | 0.92 | 0.81 | 2.61 | 0.00 | 0.90 | 0.00 | 2.70 | 6.13 |
time (sec) |
N/A | 0.389 | 0.318 | 0.035 | 0.000 | 0.317 | 0.000 | 0.341 | 75.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 106 | 82 | 184 | 0 | 103 | 388 | 189 | 110 |
N.S. |
1 | 1.68 | 1.30 | 2.92 | 0.00 | 1.63 | 6.16 | 3.00 | 1.75 |
time (sec) |
N/A | 0.292 | 0.205 | 0.035 | 0.000 | 0.326 | 0.418 | 0.310 | 0.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 106 | 137 | 258 | 0 | 290 | 0 | 194 | 524 |
N.S. |
1 | 0.80 | 1.03 | 1.94 | 0.00 | 2.18 | 0.00 | 1.46 | 3.94 |
time (sec) |
N/A | 0.400 | 0.276 | 0.039 | 0.000 | 0.354 | 0.000 | 0.422 | 25.540 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 114 | 128 | 274 | 0 | 367 | 0 | 311 | 7637 |
N.S. |
1 | 0.81 | 0.91 | 1.94 | 0.00 | 2.60 | 0.00 | 2.21 | 54.16 |
time (sec) |
N/A | 0.398 | 0.522 | 0.038 | 0.000 | 0.307 | 0.000 | 0.772 | 44.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 375 | 285 | 138 | 294 | 0 | 208 | 0 | 1447 | 529 |
N.S. |
1 | 0.76 | 0.37 | 0.78 | 0.00 | 0.55 | 0.00 | 3.86 | 1.41 |
time (sec) |
N/A | 0.543 | 0.751 | 0.098 | 0.000 | 0.271 | 0.000 | 0.695 | 16.436 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 199 | 93 | 222 | 0 | 159 | 942 | 866 | 385 |
N.S. |
1 | 0.76 | 0.36 | 0.85 | 0.00 | 0.61 | 3.61 | 3.32 | 1.48 |
time (sec) |
N/A | 0.426 | 0.586 | 0.096 | 0.000 | 0.276 | 0.754 | 0.354 | 16.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 117 | 55 | 146 | 0 | 106 | 384 | 427 | 252 |
N.S. |
1 | 1.83 | 0.86 | 2.28 | 0.00 | 1.66 | 6.00 | 6.67 | 3.94 |
time (sec) |
N/A | 0.304 | 0.483 | 0.064 | 0.000 | 0.286 | 0.727 | 0.346 | 16.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 123 | 244 | 181 | 0 | 516 | 0 | 2649 | 4060 |
N.S. |
1 | 0.78 | 1.55 | 1.15 | 0.00 | 3.29 | 0.00 | 16.87 | 25.86 |
time (sec) |
N/A | 0.401 | 0.939 | 0.025 | 0.000 | 0.323 | 0.000 | 0.925 | 42.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 175 | 187 | 252 | 0 | 675 | 0 | 2594 | 4681 |
N.S. |
1 | 1.08 | 1.15 | 1.56 | 0.00 | 4.17 | 0.00 | 16.01 | 28.90 |
time (sec) |
N/A | 0.446 | 10.455 | 0.041 | 0.000 | 0.309 | 0.000 | 7.563 | 51.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 14 | 0 | 13 | 63 | 13 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.67 | 0.00 | 0.62 | 3.00 | 0.62 | 1.00 |
time (sec) |
N/A | 0.146 | 0.007 | 0.033 | 0.000 | 0.264 | 0.163 | 0.325 | 16.606 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 14 | 0 | 13 | 63 | 13 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.67 | 0.00 | 0.62 | 3.00 | 0.62 | 1.00 |
time (sec) |
N/A | 0.144 | 0.067 | 0.029 | 0.000 | 0.264 | 0.174 | 0.296 | 16.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 27 | 23 | 16 | 0 | 15 | 51 | 15 | 15 |
N.S. |
1 | 1.17 | 1.00 | 0.70 | 0.00 | 0.65 | 2.22 | 0.65 | 0.65 |
time (sec) |
N/A | 0.196 | 0.113 | 0.018 | 0.000 | 0.281 | 0.191 | 0.317 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 44 | 33 | 31 | 32 | 0 | 77 | 45 |
N.S. |
1 | 1.00 | 1.16 | 0.87 | 0.82 | 0.84 | 0.00 | 2.03 | 1.18 |
time (sec) |
N/A | 0.282 | 0.283 | 0.913 | 0.275 | 0.278 | 0.000 | 0.341 | 16.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 67 | 59 | 34 | 51 | 0 | 76 | 563 |
N.S. |
1 | 1.00 | 1.40 | 1.23 | 0.71 | 1.06 | 0.00 | 1.58 | 11.73 |
time (sec) |
N/A | 0.265 | 0.250 | 0.923 | 0.275 | 0.288 | 0.000 | 0.344 | 29.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 25 | 24 | 15 | 23 | 0 | 51 | 33 |
N.S. |
1 | 1.00 | 1.32 | 1.26 | 0.79 | 1.21 | 0.00 | 2.68 | 1.74 |
time (sec) |
N/A | 0.230 | 0.159 | 0.905 | 0.269 | 0.290 | 0.000 | 0.341 | 16.820 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 45 | 58 | 17 | 40 | 44 | 48 | 206 |
N.S. |
1 | 1.00 | 2.37 | 3.05 | 0.89 | 2.11 | 2.32 | 2.53 | 10.84 |
time (sec) |
N/A | 0.205 | 0.136 | 0.968 | 0.278 | 0.317 | 0.904 | 0.358 | 21.699 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 72 | 51 | 41 | 41 | 0 | 130 | 122 |
N.S. |
1 | 1.00 | 2.25 | 1.59 | 1.28 | 1.28 | 0.00 | 4.06 | 3.81 |
time (sec) |
N/A | 0.267 | 0.146 | 0.941 | 0.271 | 0.342 | 0.000 | 0.395 | 17.759 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 49 | 50 | 24 | 44 | 0 | 149 | 120 |
N.S. |
1 | 1.00 | 1.88 | 1.92 | 0.92 | 1.69 | 0.00 | 5.73 | 4.62 |
time (sec) |
N/A | 0.255 | 0.138 | 0.922 | 0.264 | 0.326 | 0.000 | 0.313 | 17.690 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 147 | 58 | 54 | 44 | 0 | 235 | 189 |
N.S. |
1 | 1.00 | 4.32 | 1.71 | 1.59 | 1.29 | 0.00 | 6.91 | 5.56 |
time (sec) |
N/A | 0.274 | 0.274 | 0.921 | 0.382 | 0.305 | 0.000 | 0.402 | 19.567 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 124 | 1832 | 90 | 0 | 122 | 0 | 451 | 179 |
N.S. |
1 | 0.84 | 12.46 | 0.61 | 0.00 | 0.83 | 0.00 | 3.07 | 1.22 |
time (sec) |
N/A | 0.311 | 5.983 | 0.076 | 0.000 | 0.314 | 0.000 | 0.387 | 17.613 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 86 | 113 | 66 | 0 | 92 | 0 | 255 | 129 |
N.S. |
1 | 0.91 | 1.19 | 0.69 | 0.00 | 0.97 | 0.00 | 2.68 | 1.36 |
time (sec) |
N/A | 0.279 | 0.866 | 0.067 | 0.000 | 0.312 | 0.000 | 0.372 | 16.540 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 71 | 40 | 0 | 50 | 0 | 107 | 79 |
N.S. |
1 | 1.00 | 1.51 | 0.85 | 0.00 | 1.06 | 0.00 | 2.28 | 1.68 |
time (sec) |
N/A | 0.210 | 0.514 | 0.017 | 0.000 | 0.317 | 0.000 | 0.337 | 16.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 77 | 121 | 73 | 0 | 158 | 0 | 1093 | 213 |
N.S. |
1 | 0.79 | 1.25 | 0.75 | 0.00 | 1.63 | 0.00 | 11.27 | 2.20 |
time (sec) |
N/A | 0.274 | 0.649 | 0.020 | 0.000 | 0.330 | 0.000 | 0.535 | 18.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 96 | 135 | 88 | 0 | 182 | 0 | 1402 | 1637 |
N.S. |
1 | 0.93 | 1.31 | 0.85 | 0.00 | 1.77 | 0.00 | 13.61 | 15.89 |
time (sec) |
N/A | 0.258 | 10.169 | 0.038 | 0.000 | 0.318 | 0.000 | 2.749 | 24.654 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 144 | 75 | 120 | 0 | 243 | 0 | 1895 | 1610 |
N.S. |
1 | 0.84 | 0.44 | 0.70 | 0.00 | 1.42 | 0.00 | 11.08 | 9.42 |
time (sec) |
N/A | 0.286 | 10.091 | 0.036 | 0.000 | 0.369 | 0.000 | 6.129 | 26.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 181 | 182 | 517 | 0 | 479 | 0 | 511 | 1107 |
N.S. |
1 | 0.93 | 0.93 | 2.65 | 0.00 | 2.46 | 0.00 | 2.62 | 5.68 |
time (sec) |
N/A | 0.504 | 1.202 | 0.041 | 0.000 | 0.331 | 0.000 | 0.795 | 45.026 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 134 | 175 | 187 | 0 | 372 | 0 | 272 | 129 |
N.S. |
1 | 0.94 | 1.23 | 1.32 | 0.00 | 2.62 | 0.00 | 1.92 | 0.91 |
time (sec) |
N/A | 0.412 | 0.827 | 0.037 | 0.000 | 0.322 | 0.000 | 0.835 | 0.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 108 | 254 | 266 | 0 | 346 | 0 | 359 | 5098 |
N.S. |
1 | 0.80 | 1.88 | 1.97 | 0.00 | 2.56 | 0.00 | 2.66 | 37.76 |
time (sec) |
N/A | 0.379 | 1.191 | 0.046 | 0.000 | 0.348 | 0.000 | 0.918 | 34.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 111 | 239 | 269 | 0 | 317 | 0 | 438 | 4285 |
N.S. |
1 | 0.80 | 1.73 | 1.95 | 0.00 | 2.30 | 0.00 | 3.17 | 31.05 |
time (sec) |
N/A | 0.333 | 1.144 | 0.040 | 0.000 | 0.381 | 0.000 | 0.968 | 33.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 115 | 109 | 313 | 0 | 126 | 0 | 532 | 787 |
N.S. |
1 | 0.93 | 0.89 | 2.54 | 0.00 | 1.02 | 0.00 | 4.33 | 6.40 |
time (sec) |
N/A | 0.394 | 0.814 | 0.041 | 0.000 | 0.318 | 0.000 | 2.835 | 30.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 160 | 153 | 457 | 0 | 182 | 0 | 802 | 1290 |
N.S. |
1 | 0.92 | 0.88 | 2.63 | 0.00 | 1.05 | 0.00 | 4.61 | 7.41 |
time (sec) |
N/A | 0.442 | 10.182 | 0.040 | 0.000 | 0.342 | 0.000 | 2.460 | 48.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 277 | 215 | 2321 | 246 | 0 | 225 | 0 | 932 | 429 |
N.S. |
1 | 0.78 | 8.38 | 0.89 | 0.00 | 0.81 | 0.00 | 3.36 | 1.55 |
time (sec) |
N/A | 0.498 | 6.819 | 0.101 | 0.000 | 0.320 | 0.000 | 1.061 | 17.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 129 | 197 | 172 | 0 | 167 | 0 | 480 | 268 |
N.S. |
1 | 0.79 | 1.21 | 1.06 | 0.00 | 1.02 | 0.00 | 2.94 | 1.64 |
time (sec) |
N/A | 0.392 | 1.076 | 0.062 | 0.000 | 0.313 | 0.000 | 1.021 | 16.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 121 | 1004 | 148 | 0 | 321 | 0 | 2374 | 762 |
N.S. |
1 | 0.78 | 6.48 | 0.95 | 0.00 | 2.07 | 0.00 | 15.32 | 4.92 |
time (sec) |
N/A | 0.405 | 5.569 | 0.024 | 0.000 | 0.322 | 0.000 | 1.576 | 20.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 175 | 690 | 237 | 0 | 260 | 0 | 2318 | 559 |
N.S. |
1 | 1.11 | 4.39 | 1.51 | 0.00 | 1.66 | 0.00 | 14.76 | 3.56 |
time (sec) |
N/A | 0.426 | 10.678 | 0.036 | 0.000 | 0.316 | 0.000 | 9.204 | 21.489 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 213 | 182 | 300 | 0 | 297 | 0 | 2766 | 287 |
N.S. |
1 | 1.30 | 1.11 | 1.83 | 0.00 | 1.81 | 0.00 | 16.87 | 1.75 |
time (sec) |
N/A | 0.404 | 10.213 | 0.047 | 0.000 | 0.334 | 0.000 | 17.839 | 19.715 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 45 | 63 | 23 | 44 | 48 | 54 | 209 |
N.S. |
1 | 1.00 | 1.45 | 2.03 | 0.74 | 1.42 | 1.55 | 1.74 | 6.74 |
time (sec) |
N/A | 0.237 | 0.008 | 0.937 | 0.270 | 0.295 | 1.035 | 0.297 | 21.797 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 44 | 33 | 31 | 32 | 0 | 77 | 42 |
N.S. |
1 | 1.00 | 1.16 | 0.87 | 0.82 | 0.84 | 0.00 | 2.03 | 1.11 |
time (sec) |
N/A | 0.509 | 0.013 | 0.946 | 0.257 | 0.321 | 0.000 | 0.319 | 17.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 68 | 59 | 34 | 51 | 0 | 76 | 381 |
N.S. |
1 | 1.00 | 1.42 | 1.23 | 0.71 | 1.06 | 0.00 | 1.58 | 7.94 |
time (sec) |
N/A | 0.490 | 0.017 | 0.953 | 0.266 | 0.321 | 0.000 | 0.298 | 26.488 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 25 | 26 | 17 | 25 | 0 | 54 | 25 |
N.S. |
1 | 1.00 | 1.19 | 1.24 | 0.81 | 1.19 | 0.00 | 2.57 | 1.19 |
time (sec) |
N/A | 0.345 | 0.004 | 0.949 | 0.272 | 0.315 | 0.000 | 0.287 | 17.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 46 | 59 | 20 | 41 | 48 | 49 | 205 |
N.S. |
1 | 1.00 | 2.09 | 2.68 | 0.91 | 1.86 | 2.18 | 2.23 | 9.32 |
time (sec) |
N/A | 0.283 | 0.005 | 0.945 | 0.263 | 0.328 | 1.061 | 0.284 | 17.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 72 | 51 | 41 | 41 | 0 | 130 | 122 |
N.S. |
1 | 1.00 | 2.25 | 1.59 | 1.28 | 1.28 | 0.00 | 4.06 | 3.81 |
time (sec) |
N/A | 0.412 | 0.008 | 0.959 | 0.263 | 0.293 | 0.000 | 0.337 | 18.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 49 | 50 | 24 | 44 | 0 | 149 | 118 |
N.S. |
1 | 1.00 | 1.88 | 1.92 | 0.92 | 1.69 | 0.00 | 5.73 | 4.54 |
time (sec) |
N/A | 0.418 | 0.010 | 1.019 | 0.263 | 0.327 | 0.000 | 0.346 | 17.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 148 | 57 | 51 | 43 | 0 | 233 | 186 |
N.S. |
1 | 1.00 | 4.48 | 1.73 | 1.55 | 1.30 | 0.00 | 7.06 | 5.64 |
time (sec) |
N/A | 0.431 | 0.028 | 1.000 | 0.262 | 0.316 | 0.000 | 0.421 | 19.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 69 | 68 | 48 | 0 | 36 | 0 | 123 | 93 |
N.S. |
1 | 2.46 | 2.43 | 1.71 | 0.00 | 1.29 | 0.00 | 4.39 | 3.32 |
time (sec) |
N/A | 0.560 | 0.164 | 0.952 | 0.000 | 0.326 | 0.000 | 0.369 | 19.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 79 | 46 | 62 | 0 | 37 | 223 | 41 | 200 |
N.S. |
1 | 2.39 | 1.39 | 1.88 | 0.00 | 1.12 | 6.76 | 1.24 | 6.06 |
time (sec) |
N/A | 0.354 | 0.089 | 0.919 | 0.000 | 0.288 | 11.609 | 0.296 | 27.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 116 | 86 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.270 | 0.396 | 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 | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 168 | 192 | 341 | 293 | 161 | 459 | 171 | 0 |
N.S. |
1 | 0.96 | 1.10 | 1.95 | 1.67 | 0.92 | 2.62 | 0.98 | 0.00 |
time (sec) |
N/A | 0.286 | 0.763 | 0.932 | 0.197 | 0.287 | 0.604 | 0.372 | 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 | 136 | 131 | 113 | 124 | 107 | 114 | 185 | 107 | 210 |
N.S. |
1 | 0.96 | 0.83 | 0.91 | 0.79 | 0.84 | 1.36 | 0.79 | 1.54 |
time (sec) |
N/A | 0.270 | 0.559 | 0.876 | 0.184 | 0.365 | 0.529 | 0.369 | 18.794 |
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 | 68 | 68 | 80 | 75 | 54 | 74 | 54 | 68 | 136 |
N.S. |
1 | 1.00 | 1.18 | 1.10 | 0.79 | 1.09 | 0.79 | 1.00 | 2.00 |
time (sec) |
N/A | 0.197 | 0.137 | 0.983 | 0.191 | 0.292 | 1.069 | 0.361 | 17.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 111 | 337 | 651 | 0 | 187 | 0 | 299 | 0 |
N.S. |
1 | 0.95 | 2.88 | 5.56 | 0.00 | 1.60 | 0.00 | 2.56 | 0.00 |
time (sec) |
N/A | 0.275 | 0.858 | 0.064 | 0.000 | 0.357 | 0.000 | 0.501 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 146 | 228 | 3182 | 0 | 284 | 0 | 146 | 0 |
N.S. |
1 | 0.97 | 1.51 | 21.07 | 0.00 | 1.88 | 0.00 | 0.97 | 0.00 |
time (sec) |
N/A | 0.284 | 0.700 | 0.084 | 0.000 | 0.377 | 0.000 | 0.458 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 182 | 278 | 11352 | 0 | 536 | 0 | 182 | 0 |
N.S. |
1 | 0.94 | 1.44 | 58.82 | 0.00 | 2.78 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.313 | 1.906 | 0.133 | 0.000 | 0.551 | 0.000 | 1.222 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 225 | 219 | 212 | 0 | 0 | 416 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.94 | 0.00 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.408 | 1.407 | 0.000 | 0.000 | 0.388 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 183 | 181 | 170 | 0 | 0 | 337 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.93 | 0.00 | 0.00 | 1.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.371 | 1.236 | 0.000 | 0.000 | 0.366 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 142 | 0 | 0 | 301 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 2.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 0.871 | 0.000 | 0.000 | 0.369 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 147 | 151 | 141 | 0 | 0 | 298 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.96 | 0.00 | 0.00 | 2.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.278 | 0.852 | 0.000 | 0.000 | 0.381 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 158 | 160 | 169 | 0 | 0 | 487 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.07 | 0.00 | 0.00 | 3.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 1.309 | 0.000 | 0.000 | 0.465 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 199 | 196 | 209 | 0 | 0 | 812 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.05 | 0.00 | 0.00 | 4.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 1.371 | 0.000 | 0.000 | 0.657 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 41 | 45 | 41 | 0 | 0 | 26 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.00 | 0.00 | 0.00 | 0.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.039 | 0.000 | 0.000 | 0.305 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 70 | 69 | 0 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.00 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 0.396 | 0.000 | 0.000 | 0.330 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 35 | 60 | 0 | 34 | 415 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.33 | 0.00 | 0.76 | 9.22 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 0.057 | 0.051 | 0.000 | 0.338 | 0.708 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 31 | 55 | 0 | 28 | 197 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.34 | 0.00 | 0.68 | 4.80 | 0.00 | 0.00 |
time (sec) |
N/A | 0.161 | 0.060 | 0.052 | 0.000 | 0.325 | 0.657 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 31 | 64 | 0 | 30 | 197 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.56 | 0.00 | 0.73 | 4.80 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 0.048 | 0.050 | 0.000 | 0.327 | 0.671 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 72 | 0 | 0 | 70 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 3.997 | 0.000 | 0.000 | 0.398 | 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(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 166 | 168 | 134 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.359 | 0.969 | 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 | F(-2) | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 303 | 312 | 260 | 809 | 0 | 345 | 1363 | 397 | 0 |
N.S. |
1 | 1.03 | 0.86 | 2.67 | 0.00 | 1.14 | 4.50 | 1.31 | 0.00 |
time (sec) |
N/A | 0.520 | 1.271 | 1.261 | 0.000 | 0.334 | 1.136 | 0.349 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 246 | 176 | 300 | 0 | 219 | 490 | 236 | 0 |
N.S. |
1 | 1.04 | 0.74 | 1.27 | 0.00 | 0.92 | 2.07 | 1.00 | 0.00 |
time (sec) |
N/A | 0.438 | 0.918 | 1.152 | 0.000 | 0.282 | 0.707 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 180 | 123 | 0 | 123 | 197 | 119 | 0 |
N.S. |
1 | 1.00 | 1.53 | 1.04 | 0.00 | 1.04 | 1.67 | 1.01 | 0.00 |
time (sec) |
N/A | 0.252 | 0.348 | 1.246 | 0.000 | 0.268 | 0.297 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 222 | 266 | 1263 | 0 | 371 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.24 | 5.87 | 0.00 | 1.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 0.746 | 0.082 | 0.000 | 2.519 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 275 | 427 | 6303 | 0 | 826 | 0 | 1618 | 0 |
N.S. |
1 | 1.03 | 1.61 | 23.70 | 0.00 | 3.11 | 0.00 | 6.08 | 0.00 |
time (sec) |
N/A | 0.455 | 1.448 | 0.106 | 0.000 | 1.667 | 0.000 | 6.663 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 330 | 339 | 300 | 29133 | 0 | 1954 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.91 | 88.28 | 0.00 | 5.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.502 | 10.506 | 0.292 | 0.000 | 12.004 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 370 | 377 | 985 | 0 | 0 | 923 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 2.66 | 0.00 | 0.00 | 2.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.840 | 4.555 | 0.000 | 0.000 | 0.447 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 302 | 309 | 443 | 0 | 0 | 657 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.47 | 0.00 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.651 | 2.570 | 0.000 | 0.000 | 0.441 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 233 | 243 | 327 | 0 | 0 | 692 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.40 | 0.00 | 0.00 | 2.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 1.361 | 0.000 | 0.000 | 0.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 244 | 276 | 341 | 0 | 0 | 716 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 1.40 | 0.00 | 0.00 | 2.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.438 | 1.511 | 0.000 | 0.000 | 0.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 269 | 281 | 395 | 0 | 0 | 1456 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.47 | 0.00 | 0.00 | 5.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 2.408 | 0.000 | 0.000 | 0.785 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 335 | 354 | 557 | 0 | 0 | 2514 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.66 | 0.00 | 0.00 | 7.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.656 | 3.340 | 0.000 | 0.000 | 1.961 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 155 | 138 | 216 | 0 | 158 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.84 | 1.32 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 0.395 | 0.965 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 103 | 92 | 167 | 0 | 78 | 15302 | 0 | 0 |
N.S. |
1 | 0.95 | 0.85 | 1.55 | 0.00 | 0.72 | 141.69 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 0.223 | 0.036 | 0.000 | 0.300 | 14.579 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 51 | 43 | 120 | 0 | 32 | 2236 | 0 | 0 |
N.S. |
1 | 0.98 | 0.83 | 2.31 | 0.00 | 0.62 | 43.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 0.127 | 0.026 | 0.000 | 0.280 | 1.711 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 0.159 | 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 | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 0.166 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 176 | 167 | 150 | 0 | 0 | 159 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.85 | 0.00 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 0.409 | 0.000 | 0.000 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 111 | 100 | 0 | 0 | 79 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.86 | 0.00 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.233 | 0.226 | 0.000 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 55 | 50 | 0 | 0 | 33 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.89 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.141 | 0.000 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 0.157 | 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 | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 0.163 | 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 | A | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 187 | 176 | 157 | 0 | 0 | 201 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.84 | 0.00 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 0.341 | 0.000 | 0.000 | 0.286 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 124 | 111 | 0 | 0 | 110 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.85 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.273 | 0.223 | 0.000 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 75 | 72 | 65 | 0 | 0 | 48 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.87 | 0.00 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.235 | 0.182 | 0.000 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 0 | 15 | 311 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.88 | 18.29 | 0.88 | 0.88 |
time (sec) |
N/A | 0.189 | 0.023 | 0.854 | 0.000 | 0.276 | 1.509 | 0.310 | 16.967 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 0.075 | 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 | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 61 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.221 | 0.087 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |