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 | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 134 | 199 | 116 | 123 | 184 | 293 | 259 |
N.S. | 1 | 1.00 | 0.89 | 1.32 | 0.77 | 0.81 | 1.22 | 1.94 | 1.72 |
time (sec) |
N/A | 0.048 | 0.458 | 0.163 | 0.275 | 2.705 | 2.337 | 5.998 | 5.133 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 106 | 159 | 94 | 101 | 148 | 247 | 204 |
N.S. | 1 | 1.00 | 0.90 | 1.35 | 0.80 | 0.86 | 1.25 | 2.09 | 1.73 |
time (sec) |
N/A | 0.044 | 0.440 | 0.105 | 0.275 | 2.501 | 1.149 | 3.508 | 5.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 82 | 123 | 72 | 79 | 112 | 201 | 151 |
N.S. | 1 | 1.00 | 0.94 | 1.41 | 0.83 | 0.91 | 1.29 | 2.31 | 1.74 |
time (sec) |
N/A | 0.036 | 0.314 | 0.119 | 0.280 | 4.539 | 0.522 | 1.813 | 5.734 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 55 | 83 | 50 | 57 | 76 | 155 | 96 |
N.S. | 1 | 1.00 | 0.96 | 1.46 | 0.88 | 1.00 | 1.33 | 2.72 | 1.68 |
time (sec) |
N/A | 0.028 | 0.121 | 0.082 | 0.270 | 3.612 | 0.217 | 0.808 | 1.993 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 20 | 26 | 34 | 37 | 106 | 40 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 1.04 | 1.36 | 1.48 | 4.24 | 1.60 |
time (sec) |
N/A | 0.014 | 0.024 | 0.037 | 0.284 | 3.810 | 0.085 | 0.493 | 1.172 |
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 | 16 | 16 | 29 | 26 | 14 | 16 | 0 | 58 | 34 |
N.S. | 1 | 1.00 | 1.81 | 1.62 | 0.88 | 1.00 | 0.00 | 3.62 | 2.12 |
time (sec) |
N/A | 0.015 | 0.026 | 0.064 | 0.272 | 3.071 | 0.000 | 0.433 | 1.239 |
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 | 57 | 57 | 114 | 48 | 42 | 69 | 0 | 103 | 46 |
N.S. | 1 | 1.00 | 2.00 | 0.84 | 0.74 | 1.21 | 0.00 | 1.81 | 0.81 |
time (sec) |
N/A | 0.032 | 0.790 | 0.118 | 0.294 | 2.361 | 0.000 | 0.479 | 1.275 |
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 | 95 | 95 | 127 | 73 | 86 | 150 | 0 | 149 | 88 |
N.S. | 1 | 1.00 | 1.34 | 0.77 | 0.91 | 1.58 | 0.00 | 1.57 | 0.93 |
time (sec) |
N/A | 0.045 | 0.554 | 0.128 | 0.284 | 3.033 | 0.000 | 0.504 | 1.178 |
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 | 133 | 133 | 165 | 96 | 126 | 241 | 0 | 197 | 118 |
N.S. | 1 | 1.00 | 1.24 | 0.72 | 0.95 | 1.81 | 0.00 | 1.48 | 0.89 |
time (sec) |
N/A | 0.061 | 0.406 | 0.128 | 0.275 | 3.009 | 0.000 | 0.543 | 1.227 |
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 | 129 | 129 | 115 | 180 | 164 | 156 | 0 | 174 | 242 |
N.S. | 1 | 1.00 | 0.89 | 1.40 | 1.27 | 1.21 | 0.00 | 1.35 | 1.88 |
time (sec) |
N/A | 0.091 | 1.825 | 0.112 | 0.497 | 2.897 | 0.000 | 4.940 | 2.469 |
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 | 95 | 143 | 134 | 134 | 0 | 146 | 188 |
N.S. | 1 | 1.00 | 0.93 | 1.40 | 1.31 | 1.31 | 0.00 | 1.43 | 1.84 |
time (sec) |
N/A | 0.068 | 1.297 | 0.099 | 0.483 | 2.840 | 0.000 | 2.355 | 2.383 |
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 | 75 | 104 | 102 | 112 | 0 | 118 | 134 |
N.S. | 1 | 1.00 | 1.03 | 1.42 | 1.40 | 1.53 | 0.00 | 1.62 | 1.84 |
time (sec) |
N/A | 0.045 | 0.438 | 0.099 | 0.488 | 3.205 | 0.000 | 1.064 | 1.852 |
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 | 45 | 45 | 60 | 67 | 65 | 87 | 0 | 88 | 80 |
N.S. | 1 | 1.00 | 1.33 | 1.49 | 1.44 | 1.93 | 0.00 | 1.96 | 1.78 |
time (sec) |
N/A | 0.024 | 0.035 | 0.071 | 0.495 | 2.651 | 0.000 | 0.624 | 1.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 43 | 35 | 31 | 33 | 0 | 26 | 19 |
N.S. | 1 | 1.00 | 1.65 | 1.35 | 1.19 | 1.27 | 0.00 | 1.00 | 0.73 |
time (sec) |
N/A | 0.017 | 0.033 | 0.069 | 0.513 | 2.385 | 0.000 | 0.465 | 1.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 62 | 86 | 59 | 72 | 0 | 56 | 53 |
N.S. | 1 | 1.00 | 1.13 | 1.56 | 1.07 | 1.31 | 0.00 | 1.02 | 0.96 |
time (sec) |
N/A | 0.035 | 0.042 | 0.100 | 0.479 | 2.913 | 0.000 | 0.494 | 1.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 79 | 129 | 79 | 139 | 0 | 83 | 156 |
N.S. | 1 | 1.00 | 0.94 | 1.54 | 0.94 | 1.65 | 0.00 | 0.99 | 1.86 |
time (sec) |
N/A | 0.058 | 0.064 | 0.094 | 0.502 | 2.688 | 0.000 | 0.494 | 1.449 |
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 | 111 | 111 | 92 | 162 | 100 | 210 | 0 | 113 | 204 |
N.S. | 1 | 1.00 | 0.83 | 1.46 | 0.90 | 1.89 | 0.00 | 1.02 | 1.84 |
time (sec) |
N/A | 0.085 | 0.056 | 0.124 | 0.470 | 2.560 | 0.000 | 0.507 | 1.983 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 111 | 205 | 119 | 279 | 0 | 140 | 252 |
N.S. |
1 | 1.00 | 0.79 | 1.46 | 0.85 | 1.99 | 0.00 | 1.00 | 1.80 |
time (sec) |
N/A | 0.111 | 0.072 | 0.161 | 0.494 | 3.354 | 0.000 | 0.539 | 3.175 |
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 | 192 | 192 | 140 | 225 | 149 | 156 | 314 | 342 | 308 |
N.S. | 1 | 1.00 | 0.73 | 1.17 | 0.78 | 0.81 | 1.64 | 1.78 | 1.60 |
time (sec) |
N/A | 0.068 | 0.499 | 0.175 | 0.278 | 4.484 | 3.240 | 6.402 | 5.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 110 | 185 | 110 | 117 | 252 | 292 | 249 |
N.S. | 1 | 1.00 | 0.83 | 1.40 | 0.83 | 0.89 | 1.91 | 2.21 | 1.89 |
time (sec) |
N/A | 0.056 | 0.292 | 0.128 | 0.273 | 3.216 | 1.734 | 3.663 | 4.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 125 | 149 | 97 | 104 | 189 | 242 | 192 |
N.S. | 1 | 1.00 | 1.04 | 1.24 | 0.81 | 0.87 | 1.58 | 2.02 | 1.60 |
time (sec) |
N/A | 0.052 | 0.391 | 0.109 | 0.263 | 3.049 | 0.790 | 1.930 | 5.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 83 | 109 | 58 | 65 | 126 | 192 | 133 |
N.S. | 1 | 1.00 | 1.28 | 1.68 | 0.89 | 1.00 | 1.94 | 2.95 | 2.05 |
time (sec) |
N/A | 0.040 | 0.183 | 0.091 | 0.278 | 2.771 | 0.345 | 0.902 | 3.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 51 | 34 | 43 | 52 | 60 | 142 | 76 |
N.S. | 1 | 1.00 | 1.06 | 0.71 | 0.90 | 1.08 | 1.25 | 2.96 | 1.58 |
time (sec) |
N/A | 0.025 | 0.104 | 0.056 | 0.268 | 3.288 | 0.147 | 0.535 | 1.214 |
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 | 35 | 35 | 29 | 28 | 31 | 35 | 0 | 64 | 36 |
N.S. | 1 | 1.00 | 0.83 | 0.80 | 0.89 | 1.00 | 0.00 | 1.83 | 1.03 |
time (sec) |
N/A | 0.027 | 0.041 | 0.096 | 0.274 | 4.268 | 0.000 | 0.485 | 1.255 |
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 | 40 | 40 | 56 | 39 | 34 | 48 | 0 | 111 | 50 |
N.S. | 1 | 1.00 | 1.40 | 0.98 | 0.85 | 1.20 | 0.00 | 2.78 | 1.25 |
time (sec) |
N/A | 0.035 | 0.070 | 0.096 | 0.272 | 4.553 | 0.000 | 0.489 | 1.229 |
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 | 85 | 85 | 86 | 63 | 72 | 122 | 0 | 138 | 62 |
N.S. | 1 | 1.00 | 1.01 | 0.74 | 0.85 | 1.44 | 0.00 | 1.62 | 0.73 |
time (sec) |
N/A | 0.049 | 0.287 | 0.112 | 0.274 | 3.732 | 0.000 | 0.548 | 1.260 |
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 | 114 | 86 | 109 | 191 | 0 | 186 | 113 |
N.S. | 1 | 1.00 | 0.90 | 0.68 | 0.86 | 1.50 | 0.00 | 1.46 | 0.89 |
time (sec) |
N/A | 0.063 | 0.246 | 0.125 | 0.263 | 3.056 | 0.000 | 0.572 | 1.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 146 | 111 | 165 | 322 | 0 | 238 | 149 |
N.S. |
1 | 1.00 | 0.86 | 0.66 | 0.98 | 1.91 | 0.00 | 1.41 | 0.88 |
time (sec) |
N/A | 0.081 | 0.351 | 0.149 | 0.280 | 3.547 | 0.000 | 0.608 | 1.589 |
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 | 161 | 161 | 337 | 169 | 151 | 165 | 0 | 180 | 234 |
N.S. | 1 | 1.00 | 2.09 | 1.05 | 0.94 | 1.02 | 0.00 | 1.12 | 1.45 |
time (sec) |
N/A | 0.136 | 1.474 | 0.119 | 0.473 | 2.910 | 0.000 | 2.659 | 2.648 |
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 | 119 | 119 | 558 | 130 | 119 | 139 | 0 | 148 | 174 |
N.S. | 1 | 1.00 | 4.69 | 1.09 | 1.00 | 1.17 | 0.00 | 1.24 | 1.46 |
time (sec) |
N/A | 0.100 | 5.687 | 0.092 | 0.488 | 2.855 | 0.000 | 1.240 | 1.953 |
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 | 72 | 72 | 773 | 93 | 83 | 111 | 0 | 99 | 101 |
N.S. | 1 | 1.00 | 10.74 | 1.29 | 1.15 | 1.54 | 0.00 | 1.38 | 1.40 |
time (sec) |
N/A | 0.081 | 6.333 | 0.092 | 0.473 | 2.374 | 0.000 | 0.735 | 1.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 46 | 50 | 48 | 42 | 0 | 31 | 24 |
N.S. | 1 | 1.00 | 1.31 | 1.43 | 1.37 | 1.20 | 0.00 | 0.89 | 0.69 |
time (sec) |
N/A | 0.053 | 0.043 | 0.082 | 0.475 | 2.159 | 0.000 | 0.459 | 1.078 |
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 | 69 | 69 | 112 | 112 | 77 | 81 | 0 | 50 | 39 |
N.S. | 1 | 1.00 | 1.62 | 1.62 | 1.12 | 1.17 | 0.00 | 0.72 | 0.57 |
time (sec) |
N/A | 0.081 | 0.276 | 0.082 | 0.480 | 2.523 | 0.000 | 0.481 | 1.096 |
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 | 107 | 107 | 194 | 155 | 97 | 118 | 0 | 80 | 78 |
N.S. | 1 | 1.00 | 1.81 | 1.45 | 0.91 | 1.10 | 0.00 | 0.75 | 0.73 |
time (sec) |
N/A | 0.091 | 0.835 | 0.092 | 0.478 | 3.593 | 0.000 | 0.510 | 1.259 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 312 | 188 | 117 | 173 | 0 | 112 | 182 |
N.S. |
1 | 1.00 | 2.24 | 1.35 | 0.84 | 1.24 | 0.00 | 0.81 | 1.31 |
time (sec) |
N/A | 0.105 | 1.133 | 0.116 | 0.482 | 3.702 | 0.000 | 0.540 | 1.755 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 428 | 231 | 137 | 274 | 0 | 145 | 230 |
N.S. |
1 | 1.00 | 2.39 | 1.29 | 0.77 | 1.53 | 0.00 | 0.81 | 1.28 |
time (sec) |
N/A | 0.121 | 1.927 | 0.135 | 0.477 | 2.917 | 0.000 | 0.582 | 2.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 214 | 386 | 162 | 169 | 439 | 367 | 337 |
N.S. | 1 | 1.00 | 1.02 | 1.84 | 0.77 | 0.80 | 2.09 | 1.75 | 1.60 |
time (sec) |
N/A | 0.072 | 0.699 | 0.197 | 0.263 | 3.580 | 4.609 | 6.189 | 5.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 110 | 318 | 110 | 117 | 350 | 317 | 278 |
N.S. | 1 | 1.00 | 0.80 | 2.32 | 0.80 | 0.85 | 2.55 | 2.31 | 2.03 |
time (sec) |
N/A | 0.056 | 0.381 | 0.148 | 0.265 | 3.273 | 2.402 | 3.968 | 5.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 140 | 254 | 110 | 117 | 255 | 267 | 221 |
N.S. | 1 | 1.00 | 1.01 | 1.84 | 0.80 | 0.85 | 1.85 | 1.93 | 1.60 |
time (sec) |
N/A | 0.055 | 0.407 | 0.122 | 0.284 | 2.224 | 1.214 | 2.133 | 5.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 92 | 186 | 84 | 91 | 165 | 217 | 162 |
N.S. | 1 | 1.00 | 0.93 | 1.88 | 0.85 | 0.92 | 1.67 | 2.19 | 1.64 |
time (sec) |
N/A | 0.046 | 0.294 | 0.101 | 0.267 | 2.930 | 0.533 | 1.064 | 5.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 64 | 44 | 58 | 65 | 76 | 167 | 105 |
N.S. | 1 | 1.00 | 0.97 | 0.67 | 0.88 | 0.98 | 1.15 | 2.53 | 1.59 |
time (sec) |
N/A | 0.028 | 0.168 | 0.070 | 0.274 | 3.266 | 0.215 | 0.588 | 1.940 |
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 | 48 | 48 | 36 | 36 | 43 | 61 | 0 | 145 | 86 |
N.S. | 1 | 1.00 | 0.75 | 0.75 | 0.90 | 1.27 | 0.00 | 3.02 | 1.79 |
time (sec) |
N/A | 0.033 | 0.092 | 0.101 | 0.267 | 3.326 | 0.000 | 0.506 | 1.201 |
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 | 40 | 40 | 46 | 39 | 34 | 50 | 0 | 109 | 48 |
N.S. | 1 | 1.00 | 1.15 | 0.98 | 0.85 | 1.25 | 0.00 | 2.72 | 1.20 |
time (sec) |
N/A | 0.036 | 0.142 | 0.111 | 0.264 | 2.369 | 0.000 | 0.515 | 1.234 |
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 | 61 | 61 | 72 | 52 | 59 | 82 | 0 | 138 | 78 |
N.S. | 1 | 1.00 | 1.18 | 0.85 | 0.97 | 1.34 | 0.00 | 2.26 | 1.28 |
time (sec) |
N/A | 0.043 | 0.188 | 0.122 | 0.266 | 2.473 | 0.000 | 0.546 | 1.220 |
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 | 107 | 107 | 102 | 74 | 96 | 178 | 0 | 165 | 94 |
N.S. |
1 | 1.00 | 0.95 | 0.69 | 0.90 | 1.66 | 0.00 | 1.54 | 0.88 |
time (sec) |
N/A | 0.055 | 0.692 | 0.130 | 0.270 | 2.192 | 0.000 | 0.567 | 1.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 130 | 99 | 142 | 272 | 0 | 213 | 130 |
N.S. |
1 | 1.00 | 0.87 | 0.66 | 0.95 | 1.83 | 0.00 | 1.43 | 0.87 |
time (sec) |
N/A | 0.071 | 0.367 | 0.148 | 0.268 | 3.012 | 0.000 | 0.615 | 1.204 |
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 | 237 | 237 | 363 | 290 | 262 | 178 | 0 | 196 | 263 |
N.S. | 1 | 1.00 | 1.53 | 1.22 | 1.11 | 0.75 | 0.00 | 0.83 | 1.11 |
time (sec) |
N/A | 0.229 | 2.125 | 0.135 | 0.497 | 2.610 | 0.000 | 2.682 | 2.429 |
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 | 169 | 169 | 303 | 223 | 210 | 152 | 0 | 164 | 203 |
N.S. | 1 | 1.00 | 1.79 | 1.32 | 1.24 | 0.90 | 0.00 | 0.97 | 1.20 |
time (sec) |
N/A | 0.170 | 1.173 | 0.110 | 0.499 | 3.079 | 0.000 | 1.367 | 2.439 |
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 | 98 | 98 | 230 | 157 | 147 | 113 | 0 | 132 | 146 |
N.S. | 1 | 1.00 | 2.35 | 1.60 | 1.50 | 1.15 | 0.00 | 1.35 | 1.49 |
time (sec) |
N/A | 0.119 | 0.877 | 0.086 | 0.488 | 3.118 | 0.000 | 0.817 | 1.909 |
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 | 49 | 49 | 109 | 79 | 85 | 84 | 0 | 66 | 35 |
N.S. | 1 | 1.00 | 2.22 | 1.61 | 1.73 | 1.71 | 0.00 | 1.35 | 0.71 |
time (sec) |
N/A | 0.072 | 0.249 | 0.082 | 0.491 | 3.158 | 0.000 | 0.519 | 1.200 |
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 | 69 | 69 | 112 | 125 | 90 | 82 | 0 | 50 | 39 |
N.S. | 1 | 1.00 | 1.62 | 1.81 | 1.30 | 1.19 | 0.00 | 0.72 | 0.57 |
time (sec) |
N/A | 0.098 | 0.253 | 0.098 | 0.483 | 2.695 | 0.000 | 0.534 | 1.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 112 | 232 | 122 | 118 | 0 | 66 | 62 |
N.S. | 1 | 1.00 | 1.05 | 2.17 | 1.14 | 1.10 | 0.00 | 0.62 | 0.58 |
time (sec) |
N/A | 0.117 | 0.699 | 0.110 | 0.483 | 3.452 | 0.000 | 0.526 | 1.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 252 | 293 | 152 | 160 | 0 | 96 | 91 |
N.S. |
1 | 1.00 | 1.79 | 2.08 | 1.08 | 1.13 | 0.00 | 0.68 | 0.65 |
time (sec) |
N/A | 0.133 | 0.994 | 0.112 | 0.497 | 3.140 | 0.000 | 0.568 | 1.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 370 | 364 | 182 | 235 | 0 | 128 | 206 |
N.S. |
1 | 1.00 | 2.07 | 2.03 | 1.02 | 1.31 | 0.00 | 0.72 | 1.15 |
time (sec) |
N/A | 0.153 | 1.359 | 0.132 | 0.504 | 2.977 | 0.000 | 0.605 | 1.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 268 | 425 | 212 | 314 | 0 | 161 | 254 |
N.S. |
1 | 1.00 | 1.26 | 2.00 | 1.00 | 1.47 | 0.00 | 0.76 | 1.19 |
time (sec) |
N/A | 0.171 | 6.194 | 0.174 | 0.490 | 3.108 | 0.000 | 0.660 | 3.032 |
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 | 137 | 82 | 90 | 95 | 0 | 245 | 208 |
N.S. | 1 | 1.00 | 1.01 | 0.61 | 0.67 | 0.70 | 0.00 | 1.81 | 1.54 |
time (sec) |
N/A | 0.057 | 0.525 | 0.154 | 0.290 | 4.925 | 0.000 | 5.548 | 5.142 |
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 | 97 | 97 | 103 | 65 | 70 | 75 | 0 | 201 | 153 |
N.S. | 1 | 1.00 | 1.06 | 0.67 | 0.72 | 0.77 | 0.00 | 2.07 | 1.58 |
time (sec) |
N/A | 0.051 | 0.257 | 0.113 | 0.273 | 3.764 | 0.000 | 3.358 | 6.021 |
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 | 66 | 66 | 65 | 44 | 50 | 55 | 0 | 157 | 99 |
N.S. | 1 | 1.00 | 0.98 | 0.67 | 0.76 | 0.83 | 0.00 | 2.38 | 1.50 |
time (sec) |
N/A | 0.042 | 0.191 | 0.100 | 0.268 | 3.789 | 0.000 | 1.643 | 2.193 |
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 | 28 | 28 | 21 | 25 | 28 | 33 | 0 | 111 | 44 |
N.S. | 1 | 1.00 | 0.75 | 0.89 | 1.00 | 1.18 | 0.00 | 3.96 | 1.57 |
time (sec) |
N/A | 0.034 | 0.067 | 0.065 | 0.266 | 2.912 | 0.000 | 0.739 | 1.224 |
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 | 17 | 17 | 19 | 27 | 17 | 19 | 41 | 31 | 21 |
N.S. | 1 | 1.00 | 1.12 | 1.59 | 1.00 | 1.12 | 2.41 | 1.82 | 1.24 |
time (sec) |
N/A | 0.019 | 0.020 | 0.033 | 0.264 | 2.723 | 2.136 | 0.457 | 1.211 |
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 | 61 | 61 | 67 | 43 | 47 | 60 | 0 | 86 | 49 |
N.S. | 1 | 1.00 | 1.10 | 0.70 | 0.77 | 0.98 | 0.00 | 1.41 | 0.80 |
time (sec) |
N/A | 0.040 | 0.123 | 0.106 | 0.275 | 2.598 | 0.000 | 0.443 | 1.252 |
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 | 103 | 103 | 107 | 67 | 91 | 139 | 0 | 157 | 76 |
N.S. | 1 | 1.00 | 1.04 | 0.65 | 0.88 | 1.35 | 0.00 | 1.52 | 0.74 |
time (sec) |
N/A | 0.058 | 0.605 | 0.125 | 0.266 | 2.536 | 0.000 | 0.476 | 1.343 |
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 | 145 | 145 | 135 | 91 | 130 | 217 | 0 | 211 | 132 |
N.S. | 1 | 1.00 | 0.93 | 0.63 | 0.90 | 1.50 | 0.00 | 1.46 | 0.91 |
time (sec) |
N/A | 0.071 | 0.552 | 0.137 | 0.276 | 3.102 | 0.000 | 0.517 | 1.313 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 301 | 230 | 329 | 127 | 0 | 149 | 193 |
N.S. | 1 | 1.00 | 2.87 | 2.19 | 3.13 | 1.21 | 0.00 | 1.42 | 1.84 |
time (sec) |
N/A | 0.102 | 0.870 | 0.129 | 0.484 | 3.948 | 0.000 | 4.411 | 2.524 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 893 | 170 | 247 | 107 | 0 | 123 | 139 |
N.S. | 1 | 1.00 | 11.45 | 2.18 | 3.17 | 1.37 | 0.00 | 1.58 | 1.78 |
time (sec) |
N/A | 0.078 | 6.469 | 0.111 | 0.476 | 5.207 | 0.000 | 2.086 | 1.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 241 | 110 | 163 | 86 | 0 | 96 | 83 |
N.S. | 1 | 1.00 | 4.92 | 2.24 | 3.33 | 1.76 | 0.00 | 1.96 | 1.69 |
time (sec) |
N/A | 0.056 | 0.951 | 0.091 | 0.483 | 3.633 | 0.000 | 1.005 | 1.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 60 | 50 | 78 | 35 | 0 | 50 | 25 |
N.S. | 1 | 1.00 | 2.86 | 2.38 | 3.71 | 1.67 | 0.00 | 2.38 | 1.19 |
time (sec) |
N/A | 0.036 | 0.102 | 0.067 | 0.492 | 3.674 | 0.000 | 0.595 | 1.108 |
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 | 61 | 61 | 100 | 59 | 93 | 64 | 0 | 66 | 65 |
N.S. | 1 | 1.00 | 1.64 | 0.97 | 1.52 | 1.05 | 0.00 | 1.08 | 1.07 |
time (sec) |
N/A | 0.070 | 0.875 | 0.091 | 0.482 | 3.095 | 0.000 | 0.498 | 1.293 |
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 | 88 | 88 | 254 | 85 | 137 | 134 | 0 | 98 | 158 |
N.S. | 1 | 1.00 | 2.89 | 0.97 | 1.56 | 1.52 | 0.00 | 1.11 | 1.80 |
time (sec) |
N/A | 0.094 | 0.862 | 0.115 | 0.482 | 2.202 | 0.000 | 0.478 | 1.434 |
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 | 117 | 117 | 359 | 111 | 177 | 198 | 0 | 127 | 206 |
N.S. | 1 | 1.00 | 3.07 | 0.95 | 1.51 | 1.69 | 0.00 | 1.09 | 1.76 |
time (sec) |
N/A | 0.122 | 1.139 | 0.113 | 0.470 | 3.463 | 0.000 | 0.518 | 2.036 |
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 | 120 | 120 | 125 | 74 | 80 | 85 | 0 | 223 | 193 |
N.S. | 1 | 1.00 | 1.04 | 0.62 | 0.67 | 0.71 | 0.00 | 1.86 | 1.61 |
time (sec) |
N/A | 0.054 | 0.517 | 0.148 | 0.267 | 2.635 | 0.000 | 5.850 | 5.181 |
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 | 65 | 65 | 83 | 45 | 50 | 55 | 0 | 180 | 135 |
N.S. | 1 | 1.00 | 1.28 | 0.69 | 0.77 | 0.85 | 0.00 | 2.77 | 2.08 |
time (sec) |
N/A | 0.042 | 0.199 | 0.111 | 0.263 | 4.514 | 0.000 | 3.688 | 3.869 |
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 | 48 | 48 | 51 | 34 | 40 | 45 | 0 | 136 | 77 |
N.S. | 1 | 1.00 | 1.06 | 0.71 | 0.83 | 0.94 | 0.00 | 2.83 | 1.60 |
time (sec) |
N/A | 0.037 | 0.118 | 0.087 | 0.281 | 3.821 | 0.000 | 1.816 | 1.350 |
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 | 33 | 33 | 30 | 28 | 31 | 31 | 0 | 33 | 22 |
N.S. | 1 | 1.00 | 0.91 | 0.85 | 0.94 | 0.94 | 0.00 | 1.00 | 0.67 |
time (sec) |
N/A | 0.034 | 0.068 | 0.092 | 0.267 | 3.096 | 0.000 | 0.766 | 1.388 |
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 | 36 | 36 | 56 | 37 | 35 | 43 | 177 | 57 | 35 |
N.S. | 1 | 1.00 | 1.56 | 1.03 | 0.97 | 1.19 | 4.92 | 1.58 | 0.97 |
time (sec) |
N/A | 0.028 | 0.141 | 0.042 | 0.267 | 2.892 | 11.710 | 0.513 | 1.130 |
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 | 83 | 55 | 74 | 106 | 0 | 117 | 62 |
N.S. | 1 | 1.00 | 1.02 | 0.68 | 0.91 | 1.31 | 0.00 | 1.44 | 0.77 |
time (sec) |
N/A | 0.046 | 0.188 | 0.118 | 0.277 | 2.561 | 0.000 | 0.454 | 1.263 |
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 | 123 | 123 | 121 | 79 | 110 | 162 | 0 | 186 | 89 |
N.S. | 1 | 1.00 | 0.98 | 0.64 | 0.89 | 1.32 | 0.00 | 1.51 | 0.72 |
time (sec) |
N/A | 0.062 | 0.371 | 0.132 | 0.265 | 2.383 | 0.000 | 0.536 | 1.366 |
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 | 165 | 165 | 154 | 103 | 167 | 283 | 0 | 236 | 151 |
N.S. | 1 | 1.00 | 0.93 | 0.62 | 1.01 | 1.72 | 0.00 | 1.43 | 0.92 |
time (sec) |
N/A | 0.081 | 0.825 | 0.138 | 0.274 | 2.277 | 0.000 | 0.557 | 1.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 495 | 200 | 301 | 117 | 0 | 136 | 179 |
N.S. | 1 | 1.00 | 4.16 | 1.68 | 2.53 | 0.98 | 0.00 | 1.14 | 1.50 |
time (sec) |
N/A | 0.143 | 5.880 | 0.126 | 0.484 | 3.025 | 0.000 | 4.825 | 2.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 767 | 140 | 196 | 97 | 0 | 99 | 111 |
N.S. | 1 | 1.00 | 10.65 | 1.94 | 2.72 | 1.35 | 0.00 | 1.38 | 1.54 |
time (sec) |
N/A | 0.113 | 6.330 | 0.107 | 0.475 | 3.193 | 0.000 | 2.320 | 1.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 177 | 80 | 123 | 66 | 0 | 79 | 61 |
N.S. | 1 | 1.00 | 5.21 | 2.35 | 3.62 | 1.94 | 0.00 | 2.32 | 1.79 |
time (sec) |
N/A | 0.051 | 0.562 | 0.086 | 0.491 | 3.830 | 0.000 | 1.134 | 1.192 |
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 | 33 | 35 | 42 | 31 | 49 | 42 | 0 | 29 | 22 |
N.S. | 1 | 1.06 | 1.27 | 0.94 | 1.48 | 1.27 | 0.00 | 0.88 | 0.67 |
time (sec) |
N/A | 0.085 | 0.022 | 0.096 | 0.471 | 2.993 | 0.000 | 0.634 | 1.096 |
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 | 107 | 107 | 149 | 72 | 113 | 106 | 0 | 84 | 78 |
N.S. | 1 | 1.00 | 1.39 | 0.67 | 1.06 | 0.99 | 0.00 | 0.79 | 0.73 |
time (sec) |
N/A | 0.130 | 1.396 | 0.111 | 0.485 | 2.699 | 0.000 | 0.490 | 1.395 |
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 | 139 | 139 | 314 | 98 | 157 | 154 | 0 | 114 | 182 |
N.S. | 1 | 1.00 | 2.26 | 0.71 | 1.13 | 1.11 | 0.00 | 0.82 | 1.31 |
time (sec) |
N/A | 0.148 | 1.017 | 0.119 | 0.477 | 3.050 | 0.000 | 0.525 | 1.645 |
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 | 179 | 179 | 802 | 124 | 197 | 250 | 0 | 144 | 230 |
N.S. | 1 | 1.00 | 4.48 | 0.69 | 1.10 | 1.40 | 0.00 | 0.80 | 1.28 |
time (sec) |
N/A | 0.158 | 6.602 | 0.129 | 0.490 | 2.451 | 0.000 | 0.532 | 2.507 |
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 | 137 | 137 | 140 | 85 | 90 | 95 | 0 | 246 | 225 |
N.S. | 1 | 1.00 | 1.02 | 0.62 | 0.66 | 0.69 | 0.00 | 1.80 | 1.64 |
time (sec) |
N/A | 0.058 | 0.311 | 0.171 | 0.274 | 2.607 | 0.000 | 18.012 | 5.287 |
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 | 99 | 99 | 93 | 62 | 70 | 75 | 0 | 202 | 167 |
N.S. | 1 | 1.00 | 0.94 | 0.63 | 0.71 | 0.76 | 0.00 | 2.04 | 1.69 |
time (sec) |
N/A | 0.048 | 0.357 | 0.125 | 0.266 | 2.527 | 0.000 | 5.886 | 5.916 |
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 | 65 | 65 | 64 | 45 | 50 | 55 | 0 | 158 | 109 |
N.S. | 1 | 1.00 | 0.98 | 0.69 | 0.77 | 0.85 | 0.00 | 2.43 | 1.68 |
time (sec) |
N/A | 0.040 | 0.184 | 0.105 | 0.268 | 3.667 | 0.000 | 3.721 | 2.033 |
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 | 46 | 46 | 36 | 33 | 45 | 53 | 0 | 112 | 72 |
N.S. | 1 | 1.00 | 0.78 | 0.72 | 0.98 | 1.15 | 0.00 | 2.43 | 1.57 |
time (sec) |
N/A | 0.039 | 0.117 | 0.092 | 0.264 | 3.735 | 0.000 | 1.809 | 1.269 |
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 | 35 | 35 | 33 | 40 | 36 | 42 | 457 | 56 | 36 |
N.S. | 1 | 1.00 | 0.94 | 1.14 | 1.03 | 1.20 | 13.06 | 1.60 | 1.03 |
time (sec) |
N/A | 0.039 | 0.068 | 0.106 | 0.270 | 3.011 | 11.445 | 0.896 | 1.171 |
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 | 56 | 56 | 77 | 49 | 60 | 76 | 411 | 87 | 48 |
N.S. | 1 | 1.00 | 1.38 | 0.88 | 1.07 | 1.36 | 7.34 | 1.55 | 0.86 |
time (sec) |
N/A | 0.031 | 0.189 | 0.054 | 0.276 | 2.632 | 11.129 | 0.580 | 1.154 |
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 | 101 | 101 | 97 | 67 | 98 | 151 | 0 | 143 | 75 |
N.S. | 1 | 1.00 | 0.96 | 0.66 | 0.97 | 1.50 | 0.00 | 1.42 | 0.74 |
time (sec) |
N/A | 0.051 | 0.331 | 0.135 | 0.264 | 2.412 | 0.000 | 0.538 | 1.245 |
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 | 143 | 143 | 140 | 91 | 146 | 240 | 0 | 212 | 102 |
N.S. | 1 | 1.00 | 0.98 | 0.64 | 1.02 | 1.68 | 0.00 | 1.48 | 0.71 |
time (sec) |
N/A | 0.070 | 0.635 | 0.145 | 0.273 | 3.225 | 0.000 | 0.569 | 1.399 |
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 | 185 | 185 | 169 | 115 | 188 | 317 | 0 | 261 | 170 |
N.S. | 1 | 1.00 | 0.91 | 0.62 | 1.02 | 1.71 | 0.00 | 1.41 | 0.92 |
time (sec) |
N/A | 0.089 | 1.184 | 0.151 | 0.268 | 2.570 | 0.000 | 0.647 | 1.328 |
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 | 237 | 237 | 362 | 290 | 429 | 147 | 0 | 175 | 265 |
N.S. | 1 | 1.00 | 1.53 | 1.22 | 1.81 | 0.62 | 0.00 | 0.74 | 1.12 |
time (sec) |
N/A | 0.274 | 1.332 | 0.181 | 0.487 | 3.374 | 0.000 | 20.478 | 2.564 |
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 | 169 | 169 | 303 | 230 | 343 | 127 | 0 | 149 | 208 |
N.S. | 1 | 1.00 | 1.79 | 1.36 | 2.03 | 0.75 | 0.00 | 0.88 | 1.23 |
time (sec) |
N/A | 0.202 | 0.868 | 0.145 | 0.503 | 3.001 | 0.000 | 12.017 | 2.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 230 | 170 | 257 | 97 | 0 | 123 | 148 |
N.S. | 1 | 1.00 | 2.32 | 1.72 | 2.60 | 0.98 | 0.00 | 1.24 | 1.49 |
time (sec) |
N/A | 0.147 | 0.806 | 0.117 | 0.482 | 3.635 | 0.000 | 4.902 | 1.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 241 | 110 | 171 | 87 | 0 | 97 | 92 |
N.S. | 1 | 1.00 | 3.65 | 1.67 | 2.59 | 1.32 | 0.00 | 1.47 | 1.39 |
time (sec) |
N/A | 0.066 | 0.997 | 0.101 | 0.497 | 3.935 | 0.000 | 2.462 | 1.309 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 48 | 117 | 61 | 98 | 83 | 0 | 63 | 37 |
N.S. | 1 | 1.04 | 2.54 | 1.33 | 2.13 | 1.80 | 0.00 | 1.37 | 0.80 |
time (sec) |
N/A | 0.104 | 0.279 | 0.095 | 0.490 | 3.390 | 0.000 | 1.174 | 1.161 |
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 | 60 | 71 | 125 | 45 | 72 | 80 | 0 | 50 | 35 |
N.S. | 1 | 1.18 | 2.08 | 0.75 | 1.20 | 1.33 | 0.00 | 0.83 | 0.58 |
time (sec) |
N/A | 0.129 | 0.401 | 0.095 | 0.498 | 2.947 | 0.000 | 0.722 | 1.161 |