Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 147 | 180 | 356 | 412 | 0 | 3013 | 379 |
N.S. |
1 | 1.00 | 0.55 | 0.67 | 1.32 | 1.53 | 0.00 | 11.20 | 1.41 |
time (sec) |
N/A | 0.260 | 0.144 | 0.161 | 0.338 | 1.771 | 0.000 | 6.102 | 3.805 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 100 | 108 | 240 | 282 | 0 | 1976 | 259 |
N.S. |
1 | 1.00 | 0.50 | 0.54 | 1.20 | 1.41 | 0.00 | 9.88 | 1.30 |
time (sec) |
N/A | 0.156 | 0.099 | 0.126 | 0.352 | 1.282 | 0.000 | 4.915 | 3.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 64 | 59 | 140 | 173 | 0 | 1124 | 134 |
N.S. |
1 | 1.00 | 0.51 | 0.47 | 1.12 | 1.38 | 0.00 | 8.99 | 1.07 |
time (sec) |
N/A | 0.066 | 0.068 | 0.131 | 0.302 | 1.511 | 0.000 | 6.084 | 3.373 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 37 | 42 | 60 | 92 | 0 | 469 | 79 |
N.S. | 1 | 1.00 | 0.77 | 0.88 | 1.25 | 1.92 | 0.00 | 9.77 | 1.65 |
time (sec) |
N/A | 0.015 | 0.030 | 0.129 | 0.304 | 1.641 | 0.000 | 6.040 | 3.160 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 168 | 421 | 0 | 596 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 1.78 | 0.00 | 2.53 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.295 | 0.227 | 0.147 | 0.000 | 1.677 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 183 | 513 | 0 | 681 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 2.18 | 0.00 | 2.90 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.253 | 0.495 | 0.141 | 0.000 | 2.014 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 189 | 516 | 0 | 696 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.10 | 0.00 | 2.83 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.230 | 0.563 | 0.141 | 0.000 | 2.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 253 | 253 | 171 | 431 | 0 | 1176 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 1.70 | 0.00 | 4.65 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.223 | 0.824 | 0.146 | 0.000 | 1.596 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 323 | 323 | 244 | 655 | 0 | 1929 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 2.03 | 0.00 | 5.97 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.326 | 1.361 | 0.157 | 0.000 | 2.651 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 393 | 393 | 301 | 914 | 0 | 2865 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.33 | 0.00 | 7.29 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.357 | 1.904 | 0.145 | 0.000 | 5.699 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 463 | 463 | 370 | 1251 | 0 | 4027 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.80 | 2.70 | 0.00 | 8.70 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.482 | 2.994 | 0.144 | 0.000 | 23.518 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 207 | 501 | 0 | 845 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.66 | 1.60 | 0.00 | 2.70 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.361 | 0.333 | 0.146 | 0.000 | 3.366 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 179 | 318 | 0 | 669 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 1.30 | 0.00 | 2.74 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.241 | 0.284 | 0.151 | 0.000 | 3.402 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 129 | 191 | 0 | 531 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.76 | 1.13 | 0.00 | 3.14 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.148 | 0.341 | 0.142 | 0.000 | 2.037 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 94 | 102 | 0 | 349 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 0.97 | 0.00 | 3.32 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.078 | 0.097 | 0.144 | 0.000 | 2.624 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 50 | 45 | 0 | 115 | 0 | 0 | 100 |
N.S. |
1 | 1.00 | 0.82 | 0.74 | 0.00 | 1.89 | 0.00 | 0.00 | 1.64 |
time (sec) |
N/A | 0.043 | 0.051 | 0.140 | 0.000 | 3.034 | 0.000 | 0.000 | 4.638 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 69 | 61 | 0 | 302 | 0 | 0 | 147 |
N.S. |
1 | 1.00 | 0.53 | 0.47 | 0.00 | 2.34 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.095 | 0.119 | 0.155 | 0.000 | 3.206 | 0.000 | 0.000 | 4.898 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-2) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 105 | 111 | 0 | 599 | 0 | 0 | 242 |
N.S. |
1 | 1.00 | 0.53 | 0.56 | 0.00 | 3.03 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.149 | 0.145 | 0.143 | 0.000 | 5.081 | 0.000 | 0.000 | 5.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 152 | 183 | 0 | 1002 | 0 | 0 | 357 |
N.S. |
1 | 1.00 | 0.57 | 0.69 | 0.00 | 3.75 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.212 | 0.172 | 0.138 | 0.000 | 4.104 | 0.000 | 0.000 | 5.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 301 | 301 | 183 | 638 | 0 | 979 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.61 | 2.12 | 0.00 | 3.25 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.313 | 0.378 | 0.151 | 0.000 | 9.017 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 133 | 386 | 0 | 727 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.59 | 1.70 | 0.00 | 3.20 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.215 | 0.582 | 0.145 | 0.000 | 5.821 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 117 | 200 | 0 | 577 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 1.24 | 0.00 | 3.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.135 | 0.120 | 0.142 | 0.000 | 4.830 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 50 | 55 | 0 | 122 | 0 | 0 | 147 |
N.S. |
1 | 1.00 | 0.82 | 0.90 | 0.00 | 2.00 | 0.00 | 0.00 | 2.41 |
time (sec) |
N/A | 0.047 | 0.048 | 0.141 | 0.000 | 4.933 | 0.000 | 0.000 | 4.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 64 | 70 | 0 | 336 | 0 | 0 | 151 |
N.S. |
1 | 1.00 | 0.52 | 0.56 | 0.00 | 2.71 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.097 | 0.130 | 0.145 | 0.000 | 2.057 | 0.000 | 0.000 | 4.976 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-2) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 105 | 120 | 0 | 679 | 0 | 0 | 268 |
N.S. |
1 | 1.00 | 0.55 | 0.62 | 0.00 | 3.54 | 0.00 | 0.00 | 1.40 |
time (sec) |
N/A | 0.152 | 0.151 | 0.144 | 0.000 | 3.226 | 0.000 | 0.000 | 5.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 139 | 192 | 0 | 1114 | 0 | 0 | 414 |
N.S. |
1 | 1.00 | 0.53 | 0.73 | 0.00 | 4.25 | 0.00 | 0.00 | 1.58 |
time (sec) |
N/A | 0.215 | 0.190 | 0.144 | 0.000 | 3.763 | 0.000 | 0.000 | 5.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 179 | 642 | 0 | 1061 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 2.22 | 0.00 | 3.67 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.278 | 1.082 | 0.146 | 0.000 | 3.949 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 134 | 333 | 0 | 765 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.61 | 1.52 | 0.00 | 3.49 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.196 | 0.210 | 0.148 | 0.000 | 4.548 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 55 | 0 | 188 | 0 | 0 | 169 |
N.S. |
1 | 1.00 | 0.83 | 0.87 | 0.00 | 2.98 | 0.00 | 0.00 | 2.68 |
time (sec) |
N/A | 0.046 | 0.053 | 0.151 | 0.000 | 4.626 | 0.000 | 0.000 | 4.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-2) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 68 | 72 | 0 | 320 | 0 | 0 | 246 |
N.S. |
1 | 1.00 | 0.53 | 0.56 | 0.00 | 2.50 | 0.00 | 0.00 | 1.92 |
time (sec) |
N/A | 0.100 | 0.119 | 0.144 | 0.000 | 8.180 | 0.000 | 0.000 | 5.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-2) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 102 | 121 | 0 | 690 | 0 | 0 | 255 |
N.S. |
1 | 1.00 | 0.53 | 0.62 | 0.00 | 3.56 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.155 | 0.164 | 0.143 | 0.000 | 6.896 | 0.000 | 0.000 | 5.282 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 260 | 138 | 191 | 0 | 1108 | 0 | 0 | 416 |
N.S. |
1 | 1.00 | 0.53 | 0.73 | 0.00 | 4.26 | 0.00 | 0.00 | 1.60 |
time (sec) |
N/A | 0.212 | 0.197 | 0.131 | 0.000 | 6.494 | 0.000 | 0.000 | 5.859 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 227 | 732 | 0 | 1075 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.59 | 1.90 | 0.00 | 2.79 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.452 | 0.484 | 0.160 | 0.000 | 6.203 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 200 | 504 | 0 | 853 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 1.61 | 0.00 | 2.73 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.335 | 0.372 | 0.138 | 0.000 | 5.197 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 162 | 319 | 0 | 671 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.32 | 0.00 | 2.78 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.231 | 0.401 | 0.135 | 0.000 | 4.749 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 127 | 188 | 0 | 526 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 1.13 | 0.00 | 3.15 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.142 | 0.308 | 0.137 | 0.000 | 4.524 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 133 | 187 | 0 | 533 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 1.18 | 0.00 | 3.37 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.133 | 0.144 | 0.141 | 0.000 | 3.809 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 53 | 0 | 176 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 0.83 | 0.84 | 0.00 | 2.79 | 0.00 | 0.00 | 2.16 |
time (sec) |
N/A | 0.045 | 0.055 | 0.141 | 0.000 | 2.002 | 0.000 | 0.000 | 3.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-2) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 69 | 70 | 0 | 424 | 0 | 0 | 187 |
N.S. |
1 | 1.00 | 0.53 | 0.54 | 0.00 | 3.29 | 0.00 | 0.00 | 1.45 |
time (sec) |
N/A | 0.093 | 0.123 | 0.154 | 0.000 | 1.270 | 0.000 | 0.000 | 4.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 105 | 119 | 0 | 783 | 0 | 0 | 289 |
N.S. |
1 | 1.00 | 0.53 | 0.60 | 0.00 | 3.95 | 0.00 | 0.00 | 1.46 |
time (sec) |
N/A | 0.149 | 0.144 | 0.139 | 0.000 | 1.514 | 0.000 | 0.000 | 4.290 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 152 | 191 | 0 | 1243 | 0 | 0 | 409 |
N.S. |
1 | 1.00 | 0.57 | 0.72 | 0.00 | 4.66 | 0.00 | 0.00 | 1.53 |
time (sec) |
N/A | 0.209 | 0.166 | 0.141 | 0.000 | 5.173 | 0.000 | 0.000 | 4.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 382 | 382 | 238 | 732 | 0 | 1073 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.92 | 0.00 | 2.81 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.448 | 0.635 | 0.146 | 0.000 | 6.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 201 | 504 | 0 | 855 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.65 | 1.63 | 0.00 | 2.76 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.318 | 0.381 | 0.157 | 0.000 | 4.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 161 | 315 | 0 | 665 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 1.32 | 0.00 | 2.79 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.217 | 0.280 | 0.145 | 0.000 | 4.067 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 148 | 373 | 0 | 675 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.68 | 0.00 | 3.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.199 | 0.563 | 0.158 | 0.000 | 2.189 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 152 | 321 | 0 | 699 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 1.50 | 0.00 | 3.27 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.185 | 0.267 | 0.151 | 0.000 | 1.480 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 55 | 0 | 244 | 0 | 0 | 232 |
N.S. |
1 | 1.00 | 0.83 | 0.87 | 0.00 | 3.87 | 0.00 | 0.00 | 3.68 |
time (sec) |
N/A | 0.046 | 0.086 | 0.158 | 0.000 | 0.858 | 0.000 | 0.000 | 4.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 69 | 100 | 0 | 553 | 0 | 0 | 247 |
N.S. |
1 | 1.00 | 0.53 | 0.78 | 0.00 | 4.29 | 0.00 | 0.00 | 1.91 |
time (sec) |
N/A | 0.097 | 0.164 | 0.142 | 0.000 | 0.724 | 0.000 | 0.000 | 4.305 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 113 | 172 | 0 | 968 | 0 | 0 | 377 |
N.S. |
1 | 1.00 | 0.57 | 0.87 | 0.00 | 4.89 | 0.00 | 0.00 | 1.90 |
time (sec) |
N/A | 0.155 | 0.192 | 0.145 | 0.000 | 1.051 | 0.000 | 0.000 | 4.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 141 | 267 | 0 | 1496 | 0 | 0 | 519 |
N.S. |
1 | 1.00 | 0.53 | 1.00 | 0.00 | 5.60 | 0.00 | 0.00 | 1.94 |
time (sec) |
N/A | 0.215 | 0.243 | 0.137 | 0.000 | 1.015 | 0.000 | 0.000 | 4.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 448 | 448 | 265 | 1005 | 0 | 1331 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.59 | 2.24 | 0.00 | 2.97 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.581 | 0.923 | 0.145 | 0.000 | 6.331 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 376 | 376 | 235 | 732 | 0 | 1073 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.95 | 0.00 | 2.85 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.435 | 0.605 | 0.145 | 0.000 | 2.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 304 | 304 | 191 | 498 | 0 | 843 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.63 | 1.64 | 0.00 | 2.77 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.314 | 0.351 | 0.135 | 0.000 | 1.965 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 199 | 625 | 0 | 931 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 2.13 | 0.00 | 3.17 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.288 | 0.377 | 0.156 | 0.000 | 1.879 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 189 | 628 | 0 | 993 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 2.21 | 0.00 | 3.50 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.263 | 0.955 | 0.151 | 0.000 | 1.784 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 166 | 501 | 0 | 949 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.61 | 1.83 | 0.00 | 3.46 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.248 | 0.267 | 0.138 | 0.000 | 1.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 52 | 78 | 0 | 314 | 0 | 0 | 325 |
N.S. |
1 | 1.00 | 0.83 | 1.24 | 0.00 | 4.98 | 0.00 | 0.00 | 5.16 |
time (sec) |
N/A | 0.050 | 0.104 | 0.150 | 0.000 | 0.779 | 0.000 | 0.000 | 4.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 79 | 136 | 0 | 677 | 0 | 0 | 315 |
N.S. |
1 | 1.00 | 0.61 | 1.05 | 0.00 | 5.25 | 0.00 | 0.00 | 2.44 |
time (sec) |
N/A | 0.103 | 0.169 | 0.145 | 0.000 | 0.808 | 0.000 | 0.000 | 4.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 113 | 231 | 0 | 1159 | 0 | 0 | 465 |
N.S. |
1 | 1.00 | 0.57 | 1.17 | 0.00 | 5.85 | 0.00 | 0.00 | 2.35 |
time (sec) |
N/A | 0.158 | 0.218 | 0.153 | 0.000 | 0.927 | 0.000 | 0.000 | 4.822 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 141 | 349 | 0 | 1741 | 0 | 0 | 627 |
N.S. |
1 | 1.00 | 0.53 | 1.31 | 0.00 | 6.52 | 0.00 | 0.00 | 2.35 |
time (sec) |
N/A | 0.214 | 0.281 | 0.148 | 0.000 | 0.947 | 0.000 | 0.000 | 5.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 122 | 100 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.17 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.088 | 0.291 | 0.048 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 110 | 98 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.06 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 0.206 | 0.047 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 118 | 98 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.13 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.073 | 0.140 | 0.048 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 120 | 100 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.15 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 0.139 | 0.050 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 122 | 100 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.17 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.073 | 0.205 | 0.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 122 | 110 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.17 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.074 | 0.193 | 0.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 107 | 95 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.04 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.066 | 0.063 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 134 | 527 | 333 | 699 | 0 | 2024 | 615 |
N.S. |
1 | 1.00 | 0.39 | 1.54 | 0.97 | 2.04 | 0.00 | 5.90 | 1.79 |
time (sec) |
N/A | 0.428 | 0.270 | 0.166 | 0.315 | 0.824 | 0.000 | 3.340 | 3.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 131 | 235 | 196 | 348 | 0 | 981 | 327 |
N.S. |
1 | 1.00 | 0.53 | 0.96 | 0.80 | 1.41 | 0.00 | 3.99 | 1.33 |
time (sec) |
N/A | 0.261 | 0.191 | 0.152 | 0.306 | 0.992 | 0.000 | 6.873 | 3.518 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 67 | 89 | 97 | 144 | 0 | 369 | 139 |
N.S. |
1 | 1.00 | 0.45 | 0.59 | 0.65 | 0.96 | 0.00 | 2.46 | 0.93 |
time (sec) |
N/A | 0.098 | 0.107 | 0.153 | 0.326 | 0.796 | 0.000 | 3.124 | 3.362 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 42 | 57 | 35 | 59 | 0 | 87 | 57 |
N.S. |
1 | 1.00 | 0.78 | 1.06 | 0.65 | 1.09 | 0.00 | 1.61 | 1.06 |
time (sec) |
N/A | 0.019 | 0.017 | 0.136 | 0.320 | 1.334 | 0.000 | 3.978 | 3.248 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 82 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.082 | 0.064 | 0.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 84 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 0.066 | 0.050 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 88 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 0.072 | 0.051 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 93 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.072 | 0.169 | 0.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 93 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.117 | 0.050 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 91 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 0.132 | 0.056 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 91 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 0.187 | 0.050 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 93 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 0.250 | 0.050 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 53 | 64 | 52 | 71 | 0 | 114 | 63 |
N.S. |
1 | 1.00 | 0.82 | 0.98 | 0.80 | 1.09 | 0.00 | 1.75 | 0.97 |
time (sec) |
N/A | 0.028 | 0.036 | 0.166 | 0.292 | 4.095 | 0.000 | 4.289 | 3.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 64 | 0 | 32 | 34 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.41 | 0.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.092 | 0.025 | 0.120 | 0.301 | 2.899 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 222 | 145 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.04 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.159 | 0.251 | 0.049 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 501 | 501 | 380 | 623 | 678 | 608 | 0 | 1786 | 653 |
N.S. | 1 | 1.00 | 0.76 | 1.24 | 1.35 | 1.21 | 0.00 | 3.56 | 1.30 |
time (sec) |
N/A | 0.554 | 0.304 | 0.122 | 0.366 | 3.854 | 0.000 | 3.951 | 4.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 412 | 412 | 264 | 407 | 476 | 411 | 0 | 1181 | 438 |
N.S. | 1 | 1.00 | 0.64 | 0.99 | 1.16 | 1.00 | 0.00 | 2.87 | 1.06 |
time (sec) |
N/A | 0.396 | 0.198 | 0.131 | 0.340 | 4.906 | 0.000 | 3.179 | 3.864 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 321 | 321 | 169 | 237 | 306 | 254 | 0 | 700 | 279 |
N.S. | 1 | 1.00 | 0.53 | 0.74 | 0.95 | 0.79 | 0.00 | 2.18 | 0.87 |
time (sec) |
N/A | 0.269 | 0.136 | 0.135 | 0.356 | 1.527 | 0.000 | 3.543 | 3.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 96 | 113 | 168 | 137 | 0 | 342 | 152 |
N.S. | 1 | 1.00 | 0.46 | 0.54 | 0.80 | 0.66 | 0.00 | 1.64 | 0.73 |
time (sec) |
N/A | 0.126 | 0.078 | 0.130 | 0.310 | 2.925 | 0.000 | 6.253 | 3.484 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 54 | 51 | 66 | 75 | 0 | 135 | 85 |
N.S. | 1 | 1.00 | 0.50 | 0.47 | 0.61 | 0.69 | 0.00 | 1.24 | 0.78 |
time (sec) |
N/A | 0.039 | 0.020 | 0.136 | 0.323 | 3.024 | 0.000 | 5.060 | 3.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 140 | 153 | 0 | 520 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 1.10 | 0.00 | 3.74 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.127 | 0.161 | 0.144 | 0.000 | 2.891 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 154 | 337 | 0 | 921 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 1.98 | 0.00 | 5.42 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.161 | 0.489 | 0.138 | 0.000 | 2.649 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 200 | 663 | 0 | 1761 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.54 | 0.00 | 6.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.221 | 0.923 | 0.142 | 0.000 | 2.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 351 | 351 | 279 | 1132 | 0 | 2867 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 3.23 | 0.00 | 8.17 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.363 | 1.192 | 0.144 | 0.000 | 3.736 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 324 | 324 | 264 | 602 | 365 | 251 | 0 | 353 | 1768 |
N.S. |
1 | 1.00 | 0.81 | 1.86 | 1.13 | 0.77 | 0.00 | 1.09 | 5.46 |
time (sec) |
N/A | 0.577 | 0.726 | 0.166 | 0.498 | 1.717 | 0.000 | 5.791 | 31.330 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 151 | 291 | 171 | 134 | 0 | 159 | 897 |
N.S. |
1 | 1.00 | 0.91 | 1.75 | 1.03 | 0.81 | 0.00 | 0.96 | 5.40 |
time (sec) |
N/A | 0.212 | 0.455 | 0.145 | 0.492 | 2.402 | 0.000 | 6.260 | 13.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 82 | 117 | 57 | 67 | 0 | 60 | 232 |
N.S. |
1 | 1.00 | 1.30 | 1.86 | 0.90 | 1.06 | 0.00 | 0.95 | 3.68 |
time (sec) |
N/A | 0.040 | 0.236 | 0.133 | 0.493 | 2.199 | 0.000 | 5.603 | 7.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 455 | 1759 | 0 | 4313 | 0 | 681 | 2500 |
N.S. | 1 | 1.00 | 1.61 | 6.24 | 0.00 | 15.29 | 0.00 | 2.41 | 8.87 |
time (sec) |
N/A | 0.343 | 10.422 | 0.216 | 0.000 | 2.599 | 0.000 | 5.457 | 82.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 571 | 571 | 800 | 41834 | 0 | 35403 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.40 | 73.26 | 0.00 | 62.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 4.037 | 11.060 | 0.600 | 0.000 | 81.338 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 261 | 755 | 371 | 376 | 0 | 736 | -1 |
N.S. |
1 | 1.00 | 0.95 | 2.74 | 1.34 | 1.36 | 0.00 | 2.67 | -0.00 |
time (sec) |
N/A | 0.371 | 0.910 | 0.180 | 0.513 | 1.888 | 0.000 | 5.436 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 148 | 381 | 176 | 204 | 0 | 391 | -1 |
N.S. | 1 | 1.00 | 1.10 | 2.82 | 1.30 | 1.51 | 0.00 | 2.90 | -0.01 |
time (sec) |
N/A | 0.119 | 0.577 | 0.159 | 0.501 | 1.636 | 0.000 | 3.520 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 70 | 151 | 61 | 101 | 0 | 186 | -1 |
N.S. |
1 | 1.00 | 1.75 | 3.78 | 1.52 | 2.52 | 0.00 | 4.65 | -0.02 |
time (sec) |
N/A | 0.031 | 0.369 | 0.116 | 0.482 | 5.946 | 0.000 | 2.731 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 443 | 443 | 1546 | 11142 | 0 | 21628 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.49 | 25.15 | 0.00 | 48.82 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.965 | 2.675 | 0.154 | 0.000 | 28.511 | 0.000 | 0.000 | 0.000 |