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 | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 123 | 121 | 95 | 159 | 0 | 0 | 235 |
N.S. |
1 | 1.00 | 1.07 | 1.05 | 0.83 | 1.38 | 0.00 | 0.00 | 2.04 |
time (sec) |
N/A | 0.053 | 0.315 | 0.202 | 0.275 | 0.372 | 0.000 | 0.000 | 6.628 |
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 | 71 | 71 | 77 | 81 | 51 | 87 | 0 | 26228 | 154 |
N.S. | 1 | 1.00 | 1.08 | 1.14 | 0.72 | 1.23 | 0.00 | 369.41 | 2.17 |
time (sec) |
N/A | 0.035 | 0.083 | 0.141 | 0.276 | 0.367 | 0.000 | 171.227 | 6.469 |
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 | 30 | 30 | 38 | 23 | 25 | 27 | 0 | 1456 | 43 |
N.S. | 1 | 1.00 | 1.27 | 0.77 | 0.83 | 0.90 | 0.00 | 48.53 | 1.43 |
time (sec) |
N/A | 0.015 | 0.018 | 0.132 | 0.280 | 0.353 | 0.000 | 7.546 | 6.623 |
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 | 24 | 24 | 26 | 20 | 22 | 24 | 0 | 23 | 38 |
N.S. | 1 | 1.00 | 1.08 | 0.83 | 0.92 | 1.00 | 0.00 | 0.96 | 1.58 |
time (sec) |
N/A | 0.014 | 0.026 | 0.092 | 0.275 | 0.363 | 0.000 | 6.036 | 6.578 |
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 | 54 | 54 | 60 | 67 | 45 | 69 | 0 | 60 | 146 |
N.S. | 1 | 1.00 | 1.11 | 1.24 | 0.83 | 1.28 | 0.00 | 1.11 | 2.70 |
time (sec) |
N/A | 0.027 | 0.086 | 0.176 | 0.267 | 0.361 | 0.000 | 4.887 | 6.540 |
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 | 81 | 81 | 87 | 101 | 69 | 110 | 0 | 82 | 207 |
N.S. | 1 | 1.00 | 1.07 | 1.25 | 0.85 | 1.36 | 0.00 | 1.01 | 2.56 |
time (sec) |
N/A | 0.032 | 0.141 | 0.214 | 0.280 | 0.358 | 0.000 | 4.607 | 6.697 |
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 | 115 | 115 | 111 | 143 | 91 | 158 | 0 | 104 | 267 |
N.S. | 1 | 1.00 | 0.97 | 1.24 | 0.79 | 1.37 | 0.00 | 0.90 | 2.32 |
time (sec) |
N/A | 0.041 | 0.267 | 0.238 | 0.273 | 0.379 | 0.000 | 3.460 | 7.368 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 110 | 135 | 87 | 116 | 0 | 0 | 351 |
N.S. |
1 | 1.00 | 1.09 | 1.34 | 0.86 | 1.15 | 0.00 | 0.00 | 3.48 |
time (sec) |
N/A | 0.065 | 0.045 | 0.189 | 0.498 | 0.349 | 0.000 | 0.000 | 11.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 81 | 98 | 65 | 88 | 0 | 0 | 231 |
N.S. |
1 | 1.00 | 1.12 | 1.36 | 0.90 | 1.22 | 0.00 | 0.00 | 3.21 |
time (sec) |
N/A | 0.055 | 0.038 | 0.185 | 0.493 | 0.350 | 0.000 | 0.000 | 9.418 |
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 | 39 | 39 | 47 | 59 | 39 | 80 | 0 | 1008 | 111 |
N.S. | 1 | 1.00 | 1.21 | 1.51 | 1.00 | 2.05 | 0.00 | 25.85 | 2.85 |
time (sec) |
N/A | 0.078 | 0.033 | 0.132 | 0.514 | 0.336 | 0.000 | 7.403 | 6.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 75 | 49 | 54 | 84 | 0 | 108 | 108 |
N.S. | 1 | 1.00 | 1.83 | 1.20 | 1.32 | 2.05 | 0.00 | 2.63 | 2.63 |
time (sec) |
N/A | 0.039 | 0.034 | 0.116 | 0.509 | 0.369 | 0.000 | 4.234 | 6.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 125 | 86 | 92 | 160 | 0 | 141 | 228 |
N.S. | 1 | 1.00 | 1.52 | 1.05 | 1.12 | 1.95 | 0.00 | 1.72 | 2.78 |
time (sec) |
N/A | 0.059 | 0.043 | 0.124 | 0.497 | 0.395 | 0.000 | 3.722 | 6.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 164 | 129 | 125 | 222 | 0 | 199 | 291 |
N.S. | 1 | 1.00 | 1.34 | 1.06 | 1.02 | 1.82 | 0.00 | 1.63 | 2.39 |
time (sec) |
N/A | 0.074 | 0.047 | 0.164 | 0.487 | 0.362 | 0.000 | 4.800 | 6.673 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 75 | 206 | 96 | 168 | 0 | 0 | 283 |
N.S. |
1 | 1.00 | 0.63 | 1.73 | 0.81 | 1.41 | 0.00 | 0.00 | 2.38 |
time (sec) |
N/A | 0.059 | 0.164 | 0.184 | 0.279 | 0.369 | 0.000 | 0.000 | 6.567 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 54 | 136 | 58 | 90 | 0 | 0 | 204 |
N.S. |
1 | 1.00 | 0.75 | 1.89 | 0.81 | 1.25 | 0.00 | 0.00 | 2.83 |
time (sec) |
N/A | 0.044 | 0.072 | 0.168 | 0.292 | 0.348 | 0.000 | 0.000 | 7.111 |
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 | 52 | 52 | 40 | 70 | 43 | 45 | 0 | 6695 | 178 |
N.S. | 1 | 1.00 | 0.77 | 1.35 | 0.83 | 0.87 | 0.00 | 128.75 | 3.42 |
time (sec) |
N/A | 0.028 | 0.026 | 0.116 | 0.272 | 0.360 | 0.000 | 5.259 | 6.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 28 | 94 | 53 | 76 | 0 | 47 | 56 |
N.S. | 1 | 1.00 | 0.93 | 3.13 | 1.77 | 2.53 | 0.00 | 1.57 | 1.87 |
time (sec) |
N/A | 0.028 | 0.029 | 0.208 | 0.274 | 0.347 | 0.000 | 3.622 | 6.669 |
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 | 132 | 132 | 86 | 228 | 107 | 206 | 0 | 121 | 392 |
N.S. | 1 | 1.00 | 0.65 | 1.73 | 0.81 | 1.56 | 0.00 | 0.92 | 2.97 |
time (sec) |
N/A | 0.053 | 0.150 | 0.232 | 0.281 | 0.397 | 0.000 | 4.022 | 11.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 174 | 251 | 152 | 152 | 0 | 0 | 392 |
N.S. |
1 | 1.00 | 1.17 | 1.68 | 1.02 | 1.02 | 0.00 | 0.00 | 2.63 |
time (sec) |
N/A | 0.124 | 0.574 | 0.237 | 0.512 | 0.366 | 0.000 | 0.000 | 10.917 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 159 | 186 | 120 | 196 | 0 | 0 | 287 |
N.S. |
1 | 1.00 | 1.32 | 1.55 | 1.00 | 1.63 | 0.00 | 0.00 | 2.39 |
time (sec) |
N/A | 0.141 | 0.851 | 0.243 | 0.506 | 0.369 | 0.000 | 0.000 | 10.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 145 | 117 | 84 | 125 | 0 | 5370 | 213 |
N.S. | 1 | 1.00 | 2.04 | 1.65 | 1.18 | 1.76 | 0.00 | 75.63 | 3.00 |
time (sec) |
N/A | 0.068 | 0.291 | 0.204 | 0.494 | 0.358 | 0.000 | 12.030 | 8.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 34 | 52 | 47 | 41 | 78 | 38 | 123 |
N.S. | 1 | 1.00 | 0.76 | 1.16 | 1.04 | 0.91 | 1.73 | 0.84 | 2.73 |
time (sec) |
N/A | 0.010 | 0.130 | 0.085 | 0.287 | 0.357 | 0.079 | 5.655 | 6.583 |
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 | 74 | 74 | 94 | 80 | 79 | 105 | 0 | 143 | 201 |
N.S. | 1 | 1.00 | 1.27 | 1.08 | 1.07 | 1.42 | 0.00 | 1.93 | 2.72 |
time (sec) |
N/A | 0.077 | 0.396 | 0.129 | 0.497 | 0.357 | 0.000 | 7.514 | 6.520 |
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 | 98 | 98 | 191 | 146 | 139 | 192 | 0 | 209 | 293 |
N.S. | 1 | 1.00 | 1.95 | 1.49 | 1.42 | 1.96 | 0.00 | 2.13 | 2.99 |
time (sec) |
N/A | 0.119 | 4.014 | 0.203 | 0.512 | 0.387 | 0.000 | 6.022 | 6.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 99 | 392 | 133 | 240 | 0 | 0 | 398 |
N.S. |
1 | 1.00 | 0.62 | 2.45 | 0.83 | 1.50 | 0.00 | 0.00 | 2.49 |
time (sec) |
N/A | 0.077 | 0.362 | 0.230 | 0.278 | 0.396 | 0.000 | 0.000 | 6.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 66 | 204 | 72 | 104 | 0 | 0 | 262 |
N.S. |
1 | 1.00 | 0.73 | 2.24 | 0.79 | 1.14 | 0.00 | 0.00 | 2.88 |
time (sec) |
N/A | 0.051 | 0.110 | 0.167 | 0.280 | 0.366 | 0.000 | 0.000 | 7.460 |
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 | 70 | 70 | 52 | 108 | 57 | 61 | 0 | 28789 | 281 |
N.S. | 1 | 1.00 | 0.74 | 1.54 | 0.81 | 0.87 | 0.00 | 411.27 | 4.01 |
time (sec) |
N/A | 0.032 | 0.032 | 0.157 | 0.292 | 0.359 | 0.000 | 32.144 | 7.265 |
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 | 98 | 98 | 67 | 116 | 80 | 118 | 0 | 94 | 253 |
N.S. | 1 | 1.00 | 0.68 | 1.18 | 0.82 | 1.20 | 0.00 | 0.96 | 2.58 |
time (sec) |
N/A | 0.046 | 0.139 | 0.204 | 0.292 | 0.384 | 0.000 | 8.263 | 6.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 243 | 359 | 209 | 289 | 0 | 0 | 438 |
N.S. |
1 | 1.00 | 1.35 | 1.99 | 1.16 | 1.61 | 0.00 | 0.00 | 2.43 |
time (sec) |
N/A | 0.250 | 3.240 | 0.273 | 0.499 | 0.364 | 0.000 | 0.000 | 11.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 177 | 266 | 165 | 220 | 0 | 0 | 371 |
N.S. |
1 | 1.00 | 1.49 | 2.24 | 1.39 | 1.85 | 0.00 | 0.00 | 3.12 |
time (sec) |
N/A | 0.140 | 1.358 | 0.278 | 0.507 | 0.371 | 0.000 | 0.000 | 10.500 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 115 | 167 | 117 | 154 | 0 | 0 | 288 |
N.S. |
1 | 1.00 | 1.29 | 1.88 | 1.31 | 1.73 | 0.00 | 0.00 | 3.24 |
time (sec) |
N/A | 0.092 | 0.324 | 0.227 | 0.537 | 0.365 | 0.000 | 0.000 | 10.331 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 44 | 74 | 72 | 54 | 121 | 55 | 156 |
N.S. | 1 | 1.00 | 0.70 | 1.17 | 1.14 | 0.86 | 1.92 | 0.87 | 2.48 |
time (sec) |
N/A | 0.039 | 0.214 | 0.146 | 0.289 | 0.358 | 0.125 | 6.705 | 8.919 |
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 | 92 | 92 | 106 | 94 | 93 | 121 | 0 | 162 | 264 |
N.S. | 1 | 1.00 | 1.15 | 1.02 | 1.01 | 1.32 | 0.00 | 1.76 | 2.87 |
time (sec) |
N/A | 0.099 | 0.741 | 0.125 | 0.500 | 0.403 | 0.000 | 6.295 | 6.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 83 | 393 | 109 | 154 | 0 | 0 | 379 |
N.S. |
1 | 1.00 | 0.64 | 3.05 | 0.84 | 1.19 | 0.00 | 0.00 | 2.94 |
time (sec) |
N/A | 0.067 | 0.301 | 0.210 | 0.285 | 0.373 | 0.000 | 0.000 | 7.880 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 76 | 267 | 85 | 116 | 0 | 0 | 320 |
N.S. |
1 | 1.00 | 0.71 | 2.50 | 0.79 | 1.08 | 0.00 | 0.00 | 2.99 |
time (sec) |
N/A | 0.056 | 0.105 | 0.174 | 0.277 | 0.354 | 0.000 | 0.000 | 7.564 |
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 | 88 | 88 | 62 | 143 | 70 | 74 | 0 | 67058 | 131 |
N.S. | 1 | 1.00 | 0.70 | 1.62 | 0.80 | 0.84 | 0.00 | 762.02 | 1.49 |
time (sec) |
N/A | 0.037 | 0.047 | 0.178 | 0.276 | 0.351 | 0.000 | 19.831 | 6.633 |
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 | 102 | 102 | 78 | 129 | 82 | 131 | 0 | 96 | 298 |
N.S. | 1 | 1.00 | 0.76 | 1.26 | 0.80 | 1.28 | 0.00 | 0.94 | 2.92 |
time (sec) |
N/A | 0.045 | 0.093 | 0.210 | 0.280 | 0.376 | 0.000 | 15.679 | 6.398 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 252 | 360 | 238 | 247 | 0 | 0 | 437 |
N.S. |
1 | 1.00 | 1.76 | 2.52 | 1.66 | 1.73 | 0.00 | 0.00 | 3.06 |
time (sec) |
N/A | 0.147 | 1.082 | 0.313 | 0.510 | 0.350 | 0.000 | 0.000 | 11.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 125 | 231 | 181 | 179 | 0 | 0 | 363 |
N.S. |
1 | 1.00 | 1.11 | 2.04 | 1.60 | 1.58 | 0.00 | 0.00 | 3.21 |
time (sec) |
N/A | 0.117 | 0.710 | 0.267 | 0.528 | 0.344 | 0.000 | 0.000 | 10.255 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 57 | 111 | 108 | 70 | 224 | 72 | 237 |
N.S. | 1 | 1.00 | 0.66 | 1.28 | 1.24 | 0.80 | 2.57 | 0.83 | 2.72 |
time (sec) |
N/A | 0.058 | 0.269 | 0.208 | 0.283 | 0.354 | 0.233 | 3.678 | 8.591 |
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 | 116 | 116 | 136 | 136 | 117 | 135 | 0 | 194 | 295 |
N.S. | 1 | 1.00 | 1.17 | 1.17 | 1.01 | 1.16 | 0.00 | 1.67 | 2.54 |
time (sec) |
N/A | 0.116 | 1.019 | 0.128 | 0.514 | 0.367 | 0.000 | 8.123 | 6.779 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 685 | 222 | 218 | 219 | 0 | 274 | 384 |
N.S. | 1 | 1.00 | 4.89 | 1.59 | 1.56 | 1.56 | 0.00 | 1.96 | 2.74 |
time (sec) |
N/A | 0.161 | 6.232 | 0.226 | 0.498 | 0.393 | 0.000 | 12.879 | 6.709 |
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 | 198 | 198 | 283 | 353 | 313 | 291 | 0 | 339 | 454 |
N.S. | 1 | 1.00 | 1.43 | 1.78 | 1.58 | 1.47 | 0.00 | 1.71 | 2.29 |
time (sec) |
N/A | 0.288 | 1.074 | 0.263 | 0.526 | 0.394 | 0.000 | 14.062 | 6.853 |
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 | 130 | 130 | 101 | 115 | 175 | 167 | 0 | 136 | 388 |
N.S. | 1 | 1.00 | 0.78 | 0.88 | 1.35 | 1.28 | 0.00 | 1.05 | 2.98 |
time (sec) |
N/A | 0.117 | 0.645 | 0.239 | 0.279 | 0.369 | 0.000 | 16.364 | 10.740 |
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 | 106 | 106 | 84 | 91 | 130 | 147 | 0 | 116 | 281 |
N.S. | 1 | 1.00 | 0.79 | 0.86 | 1.23 | 1.39 | 0.00 | 1.09 | 2.65 |
time (sec) |
N/A | 0.098 | 0.216 | 0.214 | 0.297 | 0.376 | 0.000 | 12.551 | 10.425 |
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 | 82 | 82 | 54 | 67 | 89 | 125 | 0 | 96 | 172 |
N.S. | 1 | 1.00 | 0.66 | 0.82 | 1.09 | 1.52 | 0.00 | 1.17 | 2.10 |
time (sec) |
N/A | 0.080 | 0.116 | 0.211 | 0.290 | 0.356 | 0.000 | 5.718 | 9.111 |
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 | 37 | 58 | 28 | 43 | 47 | 58 | 0 | 58 | 61 |
N.S. | 1 | 1.57 | 0.76 | 1.16 | 1.27 | 1.57 | 0.00 | 1.57 | 1.65 |
time (sec) |
N/A | 0.047 | 0.026 | 0.155 | 0.313 | 0.368 | 0.000 | 9.666 | 6.658 |
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 | 32 | 32 | 32 | 27 | 31 | 28 | 0 | 33 | 32 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.97 | 0.88 | 0.00 | 1.03 | 1.00 |
time (sec) |
N/A | 0.027 | 0.013 | 0.113 | 0.275 | 0.348 | 0.000 | 9.183 | 6.531 |
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 | 32 | 32 | 24 | 30 | 26 | 30 | 0 | 26 | 23 |
N.S. | 1 | 1.00 | 0.75 | 0.94 | 0.81 | 0.94 | 0.00 | 0.81 | 0.72 |
time (sec) |
N/A | 0.049 | 0.023 | 0.115 | 0.279 | 0.353 | 0.000 | 6.348 | 6.576 |
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 | 51 | 51 | 30 | 49 | 46 | 63 | 0 | 46 | 45 |
N.S. | 1 | 1.00 | 0.59 | 0.96 | 0.90 | 1.24 | 0.00 | 0.90 | 0.88 |
time (sec) |
N/A | 0.065 | 0.037 | 0.243 | 0.286 | 0.349 | 0.000 | 5.302 | 6.560 |
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 | 68 | 68 | 61 | 67 | 66 | 96 | 0 | 66 | 63 |
N.S. | 1 | 1.00 | 0.90 | 0.99 | 0.97 | 1.41 | 0.00 | 0.97 | 0.93 |
time (sec) |
N/A | 0.067 | 0.094 | 0.244 | 0.297 | 0.368 | 0.000 | 4.263 | 6.795 |
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 | 84 | 84 | 77 | 87 | 86 | 127 | 0 | 86 | 83 |
N.S. | 1 | 1.00 | 0.92 | 1.04 | 1.02 | 1.51 | 0.00 | 1.02 | 0.99 |
time (sec) |
N/A | 0.071 | 0.134 | 0.324 | 0.301 | 0.353 | 0.000 | 4.224 | 6.767 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 146 | 175 | 338 | 95 | 0 | 172 | 99 |
N.S. | 1 | 1.00 | 1.74 | 2.08 | 4.02 | 1.13 | 0.00 | 2.05 | 1.18 |
time (sec) |
N/A | 0.070 | 0.213 | 0.198 | 0.306 | 0.345 | 0.000 | 8.844 | 8.486 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 106 | 130 | 214 | 75 | 0 | 120 | 73 |
N.S. | 1 | 1.00 | 1.54 | 1.88 | 3.10 | 1.09 | 0.00 | 1.74 | 1.06 |
time (sec) |
N/A | 0.067 | 0.222 | 0.217 | 0.298 | 0.351 | 0.000 | 17.136 | 6.732 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 106 | 70 | 90 | 47 | 0 | 68 | 47 |
N.S. | 1 | 1.00 | 2.12 | 1.40 | 1.80 | 0.94 | 0.00 | 1.36 | 0.94 |
time (sec) |
N/A | 0.063 | 0.109 | 0.187 | 0.307 | 0.341 | 0.000 | 5.991 | 6.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 48 | 22 | 27 | 42 | 27 | 21 | 21 |
N.S. | 1 | 1.00 | 2.09 | 0.96 | 1.17 | 1.83 | 1.17 | 0.91 | 0.91 |
time (sec) |
N/A | 0.009 | 0.032 | 0.088 | 0.303 | 0.344 | 0.371 | 8.194 | 6.428 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 69 | 44 | 70 | 62 | 0 | 65 | 25 |
N.S. | 1 | 1.00 | 2.38 | 1.52 | 2.41 | 2.14 | 0.00 | 2.24 | 0.86 |
time (sec) |
N/A | 0.038 | 0.176 | 0.180 | 0.283 | 0.353 | 0.000 | 10.356 | 6.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 124 | 94 | 155 | 111 | 0 | 127 | 115 |
N.S. | 1 | 1.00 | 2.14 | 1.62 | 2.67 | 1.91 | 0.00 | 2.19 | 1.98 |
time (sec) |
N/A | 0.065 | 0.358 | 0.213 | 0.287 | 0.357 | 0.000 | 8.765 | 6.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 189 | 148 | 234 | 155 | 0 | 187 | 183 |
N.S. | 1 | 1.00 | 2.30 | 1.80 | 2.85 | 1.89 | 0.00 | 2.28 | 2.23 |
time (sec) |
N/A | 0.082 | 0.518 | 0.233 | 0.295 | 0.355 | 0.000 | 8.235 | 6.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 284 | 200 | 315 | 198 | 0 | 244 | 387 |
N.S. | 1 | 1.00 | 2.68 | 1.89 | 2.97 | 1.87 | 0.00 | 2.30 | 3.65 |
time (sec) |
N/A | 0.100 | 0.627 | 0.253 | 0.308 | 0.371 | 0.000 | 12.649 | 8.221 |
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 | 189 | 189 | 112 | 127 | 202 | 218 | 0 | 146 | 444 |
N.S. | 1 | 1.00 | 0.59 | 0.67 | 1.07 | 1.15 | 0.00 | 0.77 | 2.35 |
time (sec) |
N/A | 0.107 | 1.061 | 0.269 | 0.284 | 0.402 | 0.000 | 14.212 | 10.464 |
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 | 146 | 146 | 91 | 103 | 167 | 198 | 0 | 126 | 361 |
N.S. | 1 | 1.00 | 0.62 | 0.71 | 1.14 | 1.36 | 0.00 | 0.86 | 2.47 |
time (sec) |
N/A | 0.080 | 0.299 | 0.267 | 0.285 | 0.365 | 0.000 | 8.192 | 10.504 |
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 | 104 | 104 | 70 | 79 | 110 | 178 | 0 | 102 | 240 |
N.S. | 1 | 1.00 | 0.67 | 0.76 | 1.06 | 1.71 | 0.00 | 0.98 | 2.31 |
time (sec) |
N/A | 0.062 | 0.222 | 0.243 | 0.273 | 0.358 | 0.000 | 6.293 | 10.052 |
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 | 60 | 60 | 36 | 55 | 70 | 104 | 0 | 90 | 116 |
N.S. | 1 | 1.00 | 0.60 | 0.92 | 1.17 | 1.73 | 0.00 | 1.50 | 1.93 |
time (sec) |
N/A | 0.035 | 0.057 | 0.218 | 0.283 | 0.355 | 0.000 | 4.267 | 7.640 |
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 | 52 | 52 | 36 | 37 | 46 | 59 | 0 | 45 | 87 |
N.S. | 1 | 1.00 | 0.69 | 0.71 | 0.88 | 1.13 | 0.00 | 0.87 | 1.67 |
time (sec) |
N/A | 0.035 | 0.040 | 0.170 | 0.285 | 0.368 | 0.000 | 3.604 | 6.590 |
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 | 65 | 65 | 49 | 49 | 55 | 76 | 0 | 115 | 103 |
N.S. | 1 | 1.00 | 0.75 | 0.75 | 0.85 | 1.17 | 0.00 | 1.77 | 1.58 |
time (sec) |
N/A | 0.041 | 0.048 | 0.246 | 0.279 | 0.373 | 0.000 | 4.132 | 6.528 |
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 | 55 | 55 | 38 | 39 | 36 | 57 | 0 | 36 | 36 |
N.S. | 1 | 1.00 | 0.69 | 0.71 | 0.65 | 1.04 | 0.00 | 0.65 | 0.65 |
time (sec) |
N/A | 0.035 | 0.050 | 0.248 | 0.279 | 0.349 | 0.000 | 5.704 | 6.335 |
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 | 73 | 73 | 73 | 49 | 46 | 94 | 0 | 46 | 46 |
N.S. | 1 | 1.00 | 1.00 | 0.67 | 0.63 | 1.29 | 0.00 | 0.63 | 0.63 |
time (sec) |
N/A | 0.040 | 0.048 | 0.322 | 0.276 | 0.364 | 0.000 | 26.116 | 6.375 |
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 | 127 | 127 | 78 | 79 | 76 | 127 | 0 | 76 | 76 |
N.S. | 1 | 1.00 | 0.61 | 0.62 | 0.60 | 1.00 | 0.00 | 0.60 | 0.60 |
time (sec) |
N/A | 0.051 | 0.098 | 0.336 | 0.287 | 0.348 | 0.000 | 11.055 | 6.542 |
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 | 145 | 145 | 88 | 89 | 86 | 162 | 0 | 86 | 85 |
N.S. |
1 | 1.00 | 0.61 | 0.61 | 0.59 | 1.12 | 0.00 | 0.59 | 0.59 |
time (sec) |
N/A | 0.058 | 0.143 | 0.457 | 0.280 | 0.360 | 0.000 | 14.518 | 6.633 |
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 | 199 | 199 | 118 | 119 | 116 | 195 | 0 | 116 | 116 |
N.S. |
1 | 1.00 | 0.59 | 0.60 | 0.58 | 0.98 | 0.00 | 0.58 | 0.58 |
time (sec) |
N/A | 0.070 | 0.224 | 0.582 | 0.278 | 0.381 | 0.000 | 10.218 | 6.849 |
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 | 171 | 171 | 102 | 115 | 188 | 248 | 0 | 136 | 418 |
N.S. | 1 | 1.00 | 0.60 | 0.67 | 1.10 | 1.45 | 0.00 | 0.80 | 2.44 |
time (sec) |
N/A | 0.090 | 0.450 | 0.315 | 0.291 | 0.371 | 0.000 | 12.502 | 10.051 |
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 | 126 | 126 | 82 | 91 | 146 | 226 | 0 | 114 | 302 |
N.S. | 1 | 1.00 | 0.65 | 0.72 | 1.16 | 1.79 | 0.00 | 0.90 | 2.40 |
time (sec) |
N/A | 0.065 | 0.245 | 0.276 | 0.278 | 0.377 | 0.000 | 9.470 | 9.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 52 | 67 | 98 | 154 | 0 | 81 | 186 |
N.S. | 1 | 1.00 | 0.63 | 0.82 | 1.20 | 1.88 | 0.00 | 0.99 | 2.27 |
time (sec) |
N/A | 0.041 | 0.103 | 0.264 | 0.302 | 0.360 | 0.000 | 13.213 | 8.819 |
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 | 74 | 74 | 52 | 49 | 72 | 104 | 0 | 59 | 148 |
N.S. | 1 | 1.00 | 0.70 | 0.66 | 0.97 | 1.41 | 0.00 | 0.80 | 2.00 |
time (sec) |
N/A | 0.040 | 0.126 | 0.197 | 0.277 | 0.354 | 0.000 | 9.824 | 6.648 |
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 | 86 | 86 | 61 | 61 | 80 | 147 | 0 | 154 | 169 |
N.S. | 1 | 1.00 | 0.71 | 0.71 | 0.93 | 1.71 | 0.00 | 1.79 | 1.97 |
time (sec) |
N/A | 0.050 | 0.134 | 0.312 | 0.282 | 0.370 | 0.000 | 7.562 | 6.701 |
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 | 96 | 96 | 69 | 67 | 75 | 131 | 0 | 174 | 171 |
N.S. | 1 | 1.00 | 0.72 | 0.70 | 0.78 | 1.36 | 0.00 | 1.81 | 1.78 |
time (sec) |
N/A | 0.050 | 0.212 | 0.302 | 0.289 | 0.389 | 0.000 | 8.397 | 6.717 |
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 | 73 | 73 | 48 | 49 | 46 | 84 | 0 | 46 | 46 |
N.S. | 1 | 1.00 | 0.66 | 0.67 | 0.63 | 1.15 | 0.00 | 0.63 | 0.63 |
time (sec) |
N/A | 0.039 | 0.069 | 0.298 | 0.295 | 0.342 | 0.000 | 7.554 | 6.693 |
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 | 68 | 69 | 66 | 117 | 0 | 66 | 66 |
N.S. | 1 | 1.00 | 0.62 | 0.63 | 0.61 | 1.07 | 0.00 | 0.61 | 0.61 |
time (sec) |
N/A | 0.046 | 0.055 | 0.371 | 0.280 | 0.354 | 0.000 | 6.477 | 6.629 |
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 | 145 | 145 | 88 | 89 | 86 | 152 | 0 | 86 | 86 |
N.S. |
1 | 1.00 | 0.61 | 0.61 | 0.59 | 1.05 | 0.00 | 0.59 | 0.59 |
time (sec) |
N/A | 0.067 | 0.078 | 0.453 | 0.278 | 0.406 | 0.000 | 6.054 | 6.811 |
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 | 145 | 145 | 88 | 89 | 86 | 185 | 0 | 86 | 85 |
N.S. |
1 | 1.00 | 0.61 | 0.61 | 0.59 | 1.28 | 0.00 | 0.59 | 0.59 |
time (sec) |
N/A | 0.057 | 0.086 | 0.567 | 0.281 | 0.382 | 0.000 | 6.735 | 6.822 |
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 | 195 | 195 | 112 | 127 | 213 | 290 | 0 | 146 | 476 |
N.S. | 1 | 1.00 | 0.57 | 0.65 | 1.09 | 1.49 | 0.00 | 0.75 | 2.44 |
time (sec) |
N/A | 0.099 | 0.953 | 0.322 | 0.288 | 0.384 | 0.000 | 24.279 | 10.661 |
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 | 132 | 132 | 50 | 81 | 95 | 102 | 0 | 76 | 172 |
N.S. | 1 | 1.00 | 0.38 | 0.61 | 0.72 | 0.77 | 0.00 | 0.58 | 1.30 |
time (sec) |
N/A | 0.065 | 0.074 | 0.253 | 0.290 | 0.359 | 0.000 | 16.615 | 7.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 62 | 79 | 121 | 198 | 0 | 91 | 240 |
N.S. | 1 | 1.00 | 0.59 | 0.75 | 1.15 | 1.89 | 0.00 | 0.87 | 2.29 |
time (sec) |
N/A | 0.049 | 0.176 | 0.323 | 0.281 | 0.351 | 0.000 | 17.146 | 10.070 |
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 | 106 | 106 | 73 | 71 | 103 | 196 | 0 | 185 | 228 |
N.S. | 1 | 1.00 | 0.69 | 0.67 | 0.97 | 1.85 | 0.00 | 1.75 | 2.15 |
time (sec) |
N/A | 0.058 | 0.547 | 0.331 | 0.283 | 0.401 | 0.000 | 7.974 | 6.610 |
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 | 135 | 135 | 89 | 89 | 95 | 186 | 0 | 232 | 235 |
N.S. | 1 | 1.00 | 0.66 | 0.66 | 0.70 | 1.38 | 0.00 | 1.72 | 1.74 |
time (sec) |
N/A | 0.060 | 0.110 | 0.385 | 0.284 | 0.359 | 0.000 | 9.920 | 6.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 124 | 158 | 356 | 129 | 0 | 146 | 231 |
N.S. | 1 | 1.00 | 0.98 | 1.24 | 2.80 | 1.02 | 0.00 | 1.15 | 1.82 |
time (sec) |
N/A | 0.228 | 0.272 | 0.271 | 0.293 | 0.395 | 0.000 | 14.263 | 7.577 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 315 | 119 | 288 | 369 | 0 | 135 | 203 |
N.S. | 1 | 1.00 | 2.92 | 1.10 | 2.67 | 3.42 | 0.00 | 1.25 | 1.88 |
time (sec) |
N/A | 0.249 | 0.278 | 0.306 | 0.301 | 0.371 | 0.000 | 7.343 | 12.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 359 | 143 | 285 | 445 | 0 | 179 | 171 |
N.S. | 1 | 1.00 | 2.99 | 1.19 | 2.38 | 3.71 | 0.00 | 1.49 | 1.42 |
time (sec) |
N/A | 0.185 | 4.608 | 0.294 | 0.292 | 0.373 | 0.000 | 7.788 | 7.826 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 733 | 165 | 279 | 439 | 0 | 204 | 209 |
N.S. | 1 | 1.00 | 5.51 | 1.24 | 2.10 | 3.30 | 0.00 | 1.53 | 1.57 |
time (sec) |
N/A | 0.197 | 6.072 | 0.333 | 0.301 | 0.358 | 0.000 | 9.178 | 7.672 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 195 | 394 | 172 | 0 | 217 | 0 | 0 | -1 |
N.S. |
1 | 1.20 | 2.43 | 1.06 | 0.00 | 1.34 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.635 | 5.384 | 1.868 | 0.000 | 0.387 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 114 | 89 | 0 | 184 | 0 | 455 | -1 |
N.S. | 1 | 1.00 | 1.13 | 0.88 | 0.00 | 1.82 | 0.00 | 4.50 | -0.01 |
time (sec) |
N/A | 0.121 | 0.232 | 2.154 | 0.000 | 0.390 | 0.000 | 10.711 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 206 | 125 | 0 | 306 | 0 | 157 | -1 |
N.S. | 1 | 1.00 | 2.31 | 1.40 | 0.00 | 3.44 | 0.00 | 1.76 | -0.01 |
time (sec) |
N/A | 0.128 | 0.666 | 2.000 | 0.000 | 0.388 | 0.000 | 3.093 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 309 | 170 | 0 | 417 | 0 | 223 | -1 |
N.S. | 1 | 1.00 | 1.90 | 1.04 | 0.00 | 2.56 | 0.00 | 1.37 | -0.01 |
time (sec) |
N/A | 0.254 | 1.074 | 2.366 | 0.000 | 0.394 | 0.000 | 3.616 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | A | F(-2) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 195 | 141 | 139 | 0 | 260 | 0 | 974 | -1 |
N.S. |
1 | 1.17 | 0.84 | 0.83 | 0.00 | 1.56 | 0.00 | 5.83 | -0.01 |
time (sec) |
N/A | 0.655 | 5.381 | 1.910 | 0.000 | 0.400 | 0.000 | 154.082 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 46 | 55 | 157 | 52 | 0 | 222 | -1 |
N.S. | 1 | 1.00 | 0.52 | 0.62 | 1.78 | 0.59 | 0.00 | 2.52 | -0.01 |
time (sec) |
N/A | 0.125 | 1.978 | 1.050 | 0.512 | 0.355 | 0.000 | 42.480 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 233 | 144 | 0 | 344 | 0 | 193 | -1 |
N.S. | 1 | 1.00 | 1.93 | 1.19 | 0.00 | 2.84 | 0.00 | 1.60 | -0.01 |
time (sec) |
N/A | 0.210 | 0.531 | 2.319 | 0.000 | 0.373 | 0.000 | 5.066 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 334 | 196 | 0 | 463 | 0 | 260 | -1 |
N.S. |
1 | 1.00 | 1.70 | 0.99 | 0.00 | 2.35 | 0.00 | 1.32 | -0.01 |
time (sec) |
N/A | 0.336 | 1.039 | 2.275 | 0.000 | 0.371 | 0.000 | 9.890 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 208 | 112 | 87 | 301 | 106 | 0 | 1580 | -1 |
N.S. |
1 | 1.38 | 0.74 | 0.58 | 1.99 | 0.70 | 0.00 | 10.46 | -0.01 |
time (sec) |
N/A | 0.671 | 5.310 | 1.565 | 0.549 | 0.363 | 0.000 | 162.755 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 60 | 67 | 207 | 75 | 0 | 1502 | -1 |
N.S. |
1 | 1.00 | 0.51 | 0.57 | 1.75 | 0.64 | 0.00 | 12.73 | -0.01 |
time (sec) |
N/A | 0.139 | 5.316 | 1.356 | 0.508 | 0.358 | 0.000 | 44.078 | 0.000 |