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 and IntegrateAlgebraic to I.A.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 127 | 127 | 107 | 115 | 107 | 206 | 192 | 93 | -1 | 101 |
N.S. | 1 | 1.00 | 0.84 | 0.91 | 0.84 | 1.62 | 1.51 | 0.73 | -0.01 | 0.80 |
time (sec) |
N/A | 0.082 | 0.231 | 0.010 | 1.407 | 0.913 | 16.250 | 0.509 | 0.000 | 0.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 104 | 104 | 93 | 94 | 86 | 175 | 165 | 81 | -1 | 92 |
N.S. | 1 | 1.00 | 0.89 | 0.90 | 0.83 | 1.68 | 1.59 | 0.78 | -0.01 | 0.88 |
time (sec) |
N/A | 0.049 | 0.192 | 0.007 | 1.363 | 0.997 | 10.139 | 0.471 | 0.000 | 0.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 80 | 80 | 86 | 75 | 67 | 157 | 124 | 68 | -1 | 77 |
N.S. | 1 | 1.00 | 1.08 | 0.94 | 0.84 | 1.96 | 1.55 | 0.85 | -0.01 | 0.96 |
time (sec) |
N/A | 0.026 | 0.152 | 0.005 | 1.319 | 0.664 | 14.405 | 0.440 | 0.000 | 0.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 67 | 67 | 67 | 53 | 45 | 128 | 70 | 55 | 52 | 68 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.67 | 1.91 | 1.04 | 0.82 | 0.78 | 1.01 |
time (sec) |
N/A | 0.019 | 0.057 | 0.006 | 1.318 | 0.735 | 6.510 | 0.414 | 1.162 | 0.233 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 79 | 79 | 100 | 78 | 59 | 341 | 107 | 78 | 68 | 95 |
N.S. | 1 | 1.00 | 1.27 | 0.99 | 0.75 | 4.32 | 1.35 | 0.99 | 0.86 | 1.20 |
time (sec) |
N/A | 0.061 | 0.253 | 0.006 | 1.360 | 1.017 | 8.800 | 0.452 | 1.236 | 0.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 75 | 75 | 99 | 97 | 59 | 333 | 124 | 102 | 89 | 92 |
N.S. | 1 | 1.00 | 1.32 | 1.29 | 0.79 | 4.44 | 1.65 | 1.36 | 1.19 | 1.23 |
time (sec) |
N/A | 0.059 | 0.178 | 0.010 | 1.386 | 0.927 | 11.972 | 0.474 | 1.688 | 0.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 80 | 80 | 108 | 121 | 83 | 377 | 107 | 163 | 94 | 96 |
N.S. | 1 | 1.00 | 1.35 | 1.51 | 1.04 | 4.71 | 1.34 | 2.04 | 1.18 | 1.20 |
time (sec) |
N/A | 0.060 | 0.093 | 0.007 | 1.362 | 0.708 | 5.499 | 0.482 | 1.795 | 0.341 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 150 | 150 | 126 | 134 | 126 | 254 | 318 | 115 | -1 | 125 |
N.S. | 1 | 1.00 | 0.84 | 0.89 | 0.84 | 1.69 | 2.12 | 0.77 | -0.01 | 0.83 |
time (sec) |
N/A | 0.095 | 0.258 | 0.012 | 1.390 | 0.732 | 20.789 | 0.440 | 0.000 | 0.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 127 | 127 | 113 | 113 | 105 | 223 | 287 | 103 | -1 | 116 |
N.S. | 1 | 1.00 | 0.89 | 0.89 | 0.83 | 1.76 | 2.26 | 0.81 | -0.01 | 0.91 |
time (sec) |
N/A | 0.062 | 0.240 | 0.009 | 1.374 | 0.910 | 20.411 | 0.506 | 0.000 | 0.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 103 | 103 | 107 | 94 | 86 | 205 | 223 | 89 | -1 | 101 |
N.S. | 1 | 1.00 | 1.04 | 0.91 | 0.83 | 1.99 | 2.17 | 0.86 | -0.01 | 0.98 |
time (sec) |
N/A | 0.033 | 0.194 | 0.006 | 1.351 | 0.993 | 22.469 | 0.473 | 0.000 | 0.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 87 | 87 | 88 | 69 | 61 | 176 | 219 | 76 | 54 | 92 |
N.S. | 1 | 1.00 | 1.01 | 0.79 | 0.70 | 2.02 | 2.52 | 0.87 | 0.62 | 1.06 |
time (sec) |
N/A | 0.026 | 0.078 | 0.005 | 1.412 | 0.925 | 12.912 | 0.440 | 1.182 | 0.374 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 106 | 106 | 118 | 107 | 88 | 439 | 218 | 100 | 83 | 114 |
N.S. | 1 | 1.00 | 1.11 | 1.01 | 0.83 | 4.14 | 2.06 | 0.94 | 0.78 | 1.08 |
time (sec) |
N/A | 0.094 | 0.306 | 0.009 | 1.319 | 0.888 | 35.492 | 0.539 | 1.312 | 0.401 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | C | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 108 | 108 | 105 | 126 | 88 | 411 | 184 | 124 | 86 | 115 |
N.S. | 1 | 1.00 | 0.97 | 1.17 | 0.81 | 3.81 | 1.70 | 1.15 | 0.80 | 1.06 |
time (sec) |
N/A | 0.089 | 0.184 | 0.009 | 1.386 | 0.849 | 13.290 | 0.602 | 1.877 | 0.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | C | A | A | A | A | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 111 | 111 | 90 | 150 | 112 | 425 | 182 | 191 | 91 | 115 |
N.S. | 1 | 1.00 | 0.81 | 1.35 | 1.01 | 3.83 | 1.64 | 1.72 | 0.82 | 1.04 |
time (sec) |
N/A | 0.085 | 0.063 | 0.010 | 1.279 | 0.978 | 15.566 | 0.550 | 2.120 | 0.463 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 173 | 173 | 145 | 153 | 145 | 302 | 469 | 140 | -1 | 149 |
N.S. | 1 | 1.00 | 0.84 | 0.88 | 0.84 | 1.75 | 2.71 | 0.81 | -0.01 | 0.86 |
time (sec) |
N/A | 0.105 | 0.402 | 0.010 | 1.358 | 1.018 | 37.442 | 0.529 | 0.000 | 0.463 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 150 | 150 | 131 | 132 | 124 | 271 | 442 | 128 | -1 | 140 |
N.S. | 1 | 1.00 | 0.87 | 0.88 | 0.83 | 1.81 | 2.95 | 0.85 | -0.01 | 0.93 |
time (sec) |
N/A | 0.069 | 0.406 | 0.007 | 1.373 | 0.801 | 61.217 | 0.460 | 0.000 | 0.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 126 | 126 | 112 | 113 | 105 | 253 | 354 | 114 | -1 | 125 |
N.S. | 1 | 1.00 | 0.89 | 0.90 | 0.83 | 2.01 | 2.81 | 0.90 | -0.01 | 0.99 |
time (sec) |
N/A | 0.044 | 0.550 | 0.007 | 1.444 | 1.018 | 26.540 | 0.499 | 0.000 | 0.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 107 | 107 | 108 | 85 | 77 | 224 | 348 | 101 | 54 | 116 |
N.S. | 1 | 1.00 | 1.01 | 0.79 | 0.72 | 2.09 | 3.25 | 0.94 | 0.50 | 1.08 |
time (sec) |
N/A | 0.037 | 0.088 | 0.005 | 1.397 | 0.564 | 26.046 | 0.608 | 1.163 | 0.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 132 | 132 | 139 | 138 | 119 | 539 | 323 | 125 | 101 | 138 |
N.S. | 1 | 1.00 | 1.05 | 1.05 | 0.90 | 4.08 | 2.45 | 0.95 | 0.77 | 1.05 |
time (sec) |
N/A | 0.159 | 0.361 | 0.007 | 1.378 | 0.927 | 40.753 | 0.585 | 1.247 | 0.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | C | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 136 | 136 | 117 | 158 | 120 | 519 | 318 | 150 | 104 | 141 |
N.S. | 1 | 1.00 | 0.86 | 1.16 | 0.88 | 3.82 | 2.34 | 1.10 | 0.76 | 1.04 |
time (sec) |
N/A | 0.132 | 0.232 | 0.010 | 1.403 | 0.946 | 18.911 | 0.499 | 2.164 | 0.449 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | C | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 141 | 141 | 92 | 181 | 143 | 535 | 279 | 219 | 111 | 142 |
N.S. | 1 | 1.00 | 0.65 | 1.28 | 1.01 | 3.79 | 1.98 | 1.55 | 0.79 | 1.01 |
time (sec) |
N/A | 0.117 | 0.035 | 0.012 | 1.382 | 0.581 | 12.983 | 0.569 | 2.591 | 0.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 104 | 104 | 76 | 96 | 88 | 158 | 150 | 74 | -1 | 77 |
N.S. | 1 | 1.00 | 0.73 | 0.92 | 0.85 | 1.52 | 1.44 | 0.71 | -0.01 | 0.74 |
time (sec) |
N/A | 0.077 | 0.051 | 0.010 | 1.361 | 0.758 | 7.912 | 0.498 | 0.000 | 0.255 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 81 | 81 | 64 | 75 | 67 | 127 | 94 | 61 | 93 | 68 |
N.S. | 1 | 1.00 | 0.79 | 0.93 | 0.83 | 1.57 | 1.16 | 0.75 | 1.15 | 0.84 |
time (sec) |
N/A | 0.042 | 0.060 | 0.008 | 1.293 | 0.902 | 6.228 | 0.524 | 1.467 | 0.293 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 56 | 56 | 57 | 55 | 47 | 109 | 70 | 50 | 82 | 58 |
N.S. | 1 | 1.00 | 1.02 | 0.98 | 0.84 | 1.95 | 1.25 | 0.89 | 1.46 | 1.04 |
time (sec) |
N/A | 0.023 | 0.042 | 0.004 | 1.326 | 0.677 | 6.255 | 0.479 | 1.237 | 0.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 43 | 43 | 46 | 37 | 29 | 92 | 102 | 39 | 36 | 46 |
N.S. | 1 | 1.00 | 1.07 | 0.86 | 0.67 | 2.14 | 2.37 | 0.91 | 0.84 | 1.07 |
time (sec) |
N/A | 0.015 | 0.059 | 0.006 | 1.355 | 1.164 | 2.641 | 0.547 | 1.144 | 0.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 53 | 53 | 53 | 52 | 33 | 273 | 99 | 58 | 42 | 70 |
N.S. | 1 | 1.00 | 1.00 | 0.98 | 0.62 | 5.15 | 1.87 | 1.09 | 0.79 | 1.32 |
time (sec) |
N/A | 0.040 | 0.020 | 0.007 | 1.377 | 1.288 | 5.141 | 0.499 | 1.299 | 0.196 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 47 | 47 | 47 | 49 | 37 | 101 | 41 | 65 | 39 | 61 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 0.79 | 2.15 | 0.87 | 1.38 | 0.83 | 1.30 |
time (sec) |
N/A | 0.033 | 0.039 | 0.007 | 1.306 | 0.804 | 2.799 | 0.511 | 1.201 | 0.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 72 | 72 | 63 | 68 | 56 | 123 | 66 | 146 | 58 | 71 |
N.S. | 1 | 1.00 | 0.88 | 0.94 | 0.78 | 1.71 | 0.92 | 2.03 | 0.81 | 0.99 |
time (sec) |
N/A | 0.053 | 0.136 | 0.011 | 1.315 | 0.752 | 7.056 | 0.431 | 1.350 | 0.312 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 81 | 81 | 72 | 93 | 85 | 197 | 117 | 70 | -1 | 74 |
N.S. | 1 | 1.00 | 0.89 | 1.15 | 1.05 | 2.43 | 1.44 | 0.86 | -0.01 | 0.91 |
time (sec) |
N/A | 0.043 | 0.063 | 0.010 | 1.352 | 0.894 | 10.335 | 0.512 | 0.000 | 0.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 66 | 66 | 67 | 72 | 64 | 164 | 83 | 58 | 61 | 61 |
N.S. | 1 | 1.00 | 1.02 | 1.09 | 0.97 | 2.48 | 1.26 | 0.88 | 0.92 | 0.92 |
time (sec) |
N/A | 0.036 | 0.059 | 0.007 | 1.296 | 1.047 | 16.608 | 0.547 | 1.342 | 0.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 48 | 48 | 64 | 54 | 46 | 147 | 66 | 48 | 53 | 53 |
N.S. | 1 | 1.00 | 1.33 | 1.12 | 0.96 | 3.06 | 1.38 | 1.00 | 1.10 | 1.10 |
time (sec) |
N/A | 0.020 | 0.081 | 0.007 | 1.309 | 0.908 | 15.185 | 0.498 | 1.055 | 0.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 28 | 28 | 27 | 26 | 31 | 35 | 46 | 23 | 24 | 27 |
N.S. | 1 | 1.00 | 0.96 | 0.93 | 1.11 | 1.25 | 1.64 | 0.82 | 0.86 | 0.96 |
time (sec) |
N/A | 0.007 | 0.032 | 0.003 | 1.366 | 0.848 | 10.223 | 0.443 | 0.909 | 0.310 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 47 | 47 | 47 | 60 | 48 | 146 | 206 | 59 | 50 | 61 |
N.S. | 1 | 1.00 | 1.00 | 1.28 | 1.02 | 3.11 | 4.38 | 1.26 | 1.06 | 1.30 |
time (sec) |
N/A | 0.038 | 0.048 | 0.009 | 1.299 | 1.002 | 11.294 | 0.445 | 1.291 | 0.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 70 | 70 | 72 | 80 | 68 | 169 | 235 | 96 | 70 | 75 |
N.S. | 1 | 1.00 | 1.03 | 1.14 | 0.97 | 2.41 | 3.36 | 1.37 | 1.00 | 1.07 |
time (sec) |
N/A | 0.057 | 0.044 | 0.009 | 1.319 | 0.876 | 15.826 | 0.502 | 1.448 | 0.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 95 | 95 | 75 | 101 | 89 | 211 | 124 | 171 | 94 | 87 |
N.S. | 1 | 1.00 | 0.79 | 1.06 | 0.94 | 2.22 | 1.31 | 1.80 | 0.99 | 0.92 |
time (sec) |
N/A | 0.078 | 0.223 | 0.010 | 1.353 | 0.899 | 10.795 | 0.497 | 1.592 | 0.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 79 | 79 | 69 | 91 | 102 | 239 | 400 | 70 | -1 | 72 |
N.S. | 1 | 1.00 | 0.87 | 1.15 | 1.29 | 3.03 | 5.06 | 0.89 | -0.01 | 0.91 |
time (sec) |
N/A | 0.042 | 0.124 | 0.010 | 1.409 | 0.822 | 18.323 | 0.482 | 0.000 | 0.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 53 | 53 | 44 | 41 | 70 | 63 | 141 | 36 | 51 | 44 |
N.S. | 1 | 1.00 | 0.83 | 0.77 | 1.32 | 1.19 | 2.66 | 0.68 | 0.96 | 0.83 |
time (sec) |
N/A | 0.022 | 0.055 | 0.006 | 1.360 | 0.981 | 17.325 | 0.482 | 0.967 | 0.440 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 50 | 47 | 32 | 29 | 51 | 49 | 95 | 26 | 34 | 32 |
N.S. | 1 | 0.94 | 0.64 | 0.58 | 1.02 | 0.98 | 1.90 | 0.52 | 0.68 | 0.64 |
time (sec) |
N/A | 0.014 | 0.023 | 0.003 | 1.311 | 0.924 | 13.983 | 0.518 | 0.924 | 0.419 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 51 | 51 | 43 | 40 | 48 | 62 | 146 | 37 | 41 | 43 |
N.S. | 1 | 1.00 | 0.84 | 0.78 | 0.94 | 1.22 | 2.86 | 0.73 | 0.80 | 0.84 |
time (sec) |
N/A | 0.010 | 0.047 | 0.004 | 1.367 | 0.878 | 13.203 | 0.478 | 0.929 | 0.411 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 76 | 76 | 69 | 92 | 80 | 239 | 840 | 82 | 80 | 83 |
N.S. | 1 | 1.00 | 0.91 | 1.21 | 1.05 | 3.14 | 11.05 | 1.08 | 1.05 | 1.09 |
time (sec) |
N/A | 0.063 | 0.098 | 0.008 | 1.367 | 0.753 | 25.923 | 0.540 | 1.375 | 0.496 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 104 | 104 | 95 | 112 | 100 | 264 | 910 | 119 | 96 | 101 |
N.S. | 1 | 1.00 | 0.91 | 1.08 | 0.96 | 2.54 | 8.75 | 1.14 | 0.92 | 0.97 |
time (sec) |
N/A | 0.088 | 0.073 | 0.010 | 1.342 | 1.042 | 24.183 | 0.553 | 1.579 | 0.538 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 129 | 129 | 106 | 134 | 122 | 307 | 1034 | 197 | 123 | 111 |
N.S. | 1 | 1.00 | 0.82 | 1.04 | 0.95 | 2.38 | 8.02 | 1.53 | 0.95 | 0.86 |
time (sec) |
N/A | 0.119 | 0.215 | 0.011 | 1.342 | 0.787 | 24.756 | 0.534 | 1.621 | 0.633 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 27 | 27 | 24 | 29 | 28 | 31 | 24 | 19 | 20 | 37 |
N.S. | 1 | 1.00 | 0.89 | 1.07 | 1.04 | 1.15 | 0.89 | 0.70 | 0.74 | 1.37 |
time (sec) |
N/A | 0.008 | 0.030 | 0.008 | 2.969 | 0.602 | 0.240 | 0.471 | 0.040 | 0.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 27 | 27 | 24 | 29 | 28 | 31 | 24 | 19 | 20 | 37 |
N.S. | 1 | 1.00 | 0.89 | 1.07 | 1.04 | 1.15 | 0.89 | 0.70 | 0.74 | 1.37 |
time (sec) |
N/A | 0.017 | 0.020 | 0.005 | 2.889 | 0.624 | 0.294 | 0.417 | 0.033 | 0.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | B | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 17 | 17 | 33 | 15 | 22 | 26 | 27 | 30 | 14 | 0 |
N.S. | 1 | 1.00 | 1.94 | 0.88 | 1.29 | 1.53 | 1.59 | 1.76 | 0.82 | 0.00 |
time (sec) |
N/A | 0.006 | 0.009 | 0.003 | 2.876 | 0.869 | 0.186 | 0.410 | 0.919 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 6 | 6 | 6 | 7 | 6 | 6 | 5 | 6 | 6 | 0 |
N.S. | 1 | 1.00 | 1.00 | 1.17 | 1.00 | 1.00 | 0.83 | 1.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.003 | 0.005 | 0.003 | 2.972 | 1.003 | 0.153 | 0.458 | 0.039 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 213 | 213 | 165 | 265 | 435 | 522 | 0 | 204 | -1 | 173 |
N.S. |
1 | 1.00 | 0.77 | 1.24 | 2.04 | 2.45 | 0.00 | 0.96 | -0.00 | 0.81 |
time (sec) |
N/A | 0.324 | 0.649 | 0.048 | 1.680 | 0.860 | 0.000 | 0.539 | 0.000 | 1.436 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | B | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 150 | 150 | 147 | 277 | 447 | 467 | 0 | 138 | -1 | 138 |
N.S. |
1 | 1.00 | 0.98 | 1.85 | 2.98 | 3.11 | 0.00 | 0.92 | -0.01 | 0.92 |
time (sec) |
N/A | 0.165 | 0.408 | 0.013 | 1.635 | 1.105 | 0.000 | 0.527 | 0.000 | 1.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | B | A | F(-1) | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 132 | 132 | 89 | 95 | 240 | 137 | 0 | 112 | 196 | 98 |
N.S. |
1 | 1.00 | 0.67 | 0.72 | 1.82 | 1.04 | 0.00 | 0.85 | 1.48 | 0.74 |
time (sec) |
N/A | 0.166 | 0.114 | 0.005 | 1.443 | 0.676 | 0.000 | 0.624 | 1.274 | 1.207 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 149 | 149 | 78 | 76 | 253 | 122 | 0 | 81 | 186 | 79 |
N.S. |
1 | 1.00 | 0.52 | 0.51 | 1.70 | 0.82 | 0.00 | 0.54 | 1.25 | 0.53 |
time (sec) |
N/A | 0.181 | 0.104 | 0.008 | 1.418 | 0.925 | 0.000 | 0.580 | 1.192 | 0.930 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 139 | 139 | 84 | 85 | 179 | 131 | 0 | 95 | 133 | 88 |
N.S. |
1 | 1.00 | 0.60 | 0.61 | 1.29 | 0.94 | 0.00 | 0.68 | 0.96 | 0.63 |
time (sec) |
N/A | 0.151 | 0.126 | 0.008 | 1.380 | 1.008 | 0.000 | 0.586 | 1.138 | 1.150 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 139 | 139 | 87 | 88 | 197 | 134 | 904 | 94 | 133 | 91 |
N.S. | 1 | 1.00 | 0.63 | 0.63 | 1.42 | 0.96 | 6.50 | 0.68 | 0.96 | 0.65 |
time (sec) |
N/A | 0.131 | 0.142 | 0.008 | 1.420 | 0.987 | 118.646 | 0.518 | 1.094 | 0.850 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 119 | 119 | 75 | 73 | 123 | 119 | 796 | 82 | 99 | 76 |
N.S. | 1 | 1.00 | 0.63 | 0.61 | 1.03 | 1.00 | 6.69 | 0.69 | 0.83 | 0.64 |
time (sec) |
N/A | 0.088 | 0.088 | 0.005 | 1.341 | 0.772 | 85.296 | 0.604 | 1.049 | 1.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 127 | 127 | 92 | 96 | 153 | 137 | 1880 | 112 | 115 | 99 |
N.S. | 1 | 1.00 | 0.72 | 0.76 | 1.20 | 1.08 | 14.80 | 0.88 | 0.91 | 0.78 |
time (sec) |
N/A | 0.069 | 0.086 | 0.007 | 1.334 | 0.603 | 94.218 | 0.504 | 1.033 | 0.758 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 138 | 138 | 120 | 169 | 157 | 465 | 6613 | 152 | 159 | 146 |
N.S. | 1 | 1.00 | 0.87 | 1.22 | 1.14 | 3.37 | 47.92 | 1.10 | 1.15 | 1.06 |
time (sec) |
N/A | 0.162 | 0.229 | 0.012 | 1.448 | 0.806 | 107.414 | 0.573 | 1.620 | 1.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 188 | 188 | 158 | 240 | 228 | 525 | 6922 | 239 | 225 | 190 |
N.S. | 1 | 1.00 | 0.84 | 1.28 | 1.21 | 2.79 | 36.82 | 1.27 | 1.20 | 1.01 |
time (sec) |
N/A | 0.381 | 0.217 | 0.012 | 1.412 | 0.708 | 165.702 | 0.511 | 2.095 | 1.152 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 219 | 219 | 178 | 288 | 265 | 688 | 0 | 325 | 279 | 202 |
N.S. |
1 | 1.00 | 0.81 | 1.32 | 1.21 | 3.14 | 0.00 | 1.48 | 1.27 | 0.92 |
time (sec) |
N/A | 0.480 | 0.534 | 0.015 | 1.495 | 1.171 | 0.000 | 0.484 | 2.518 | 1.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 65 | 65 | 65 | 54 | 53 | 0 | 60 | 57 | 57 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.82 | 0.00 | 0.92 | 0.88 | 0.88 | 0.00 |
time (sec) |
N/A | 0.074 | 0.031 | 0.003 | 1.341 | 0.000 | 0.101 | 0.369 | 1.205 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 65 | 65 | 65 | 54 | 53 | 0 | 60 | 57 | 57 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.82 | 0.00 | 0.92 | 0.88 | 0.88 | 0.00 |
time (sec) |
N/A | 0.076 | 0.016 | 0.002 | 1.325 | 0.000 | 0.091 | 0.379 | 1.184 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 65 | 65 | 65 | 54 | 53 | 0 | 60 | 57 | 57 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.82 | 0.00 | 0.92 | 0.88 | 0.88 | 0.00 |
time (sec) |
N/A | 0.061 | 0.010 | 0.003 | 1.312 | 0.000 | 0.136 | 0.318 | 1.185 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 60 | 60 | 60 | 51 | 50 | 0 | 56 | 54 | 54 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.83 | 0.00 | 0.93 | 0.90 | 0.90 | 0.00 |
time (sec) |
N/A | 0.041 | 0.009 | 0.000 | 1.322 | 0.000 | 0.121 | 0.361 | 1.164 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 56 | 56 | 56 | 53 | 48 | 48 | 54 | 53 | 52 | 0 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.86 | 0.86 | 0.96 | 0.95 | 0.93 | 0.00 |
time (sec) |
N/A | 0.040 | 0.016 | 0.003 | 1.354 | 0.825 | 0.325 | 0.410 | 1.170 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 54 | 54 | 54 | 50 | 48 | 55 | 49 | 50 | 49 | 0 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.89 | 1.02 | 0.91 | 0.93 | 0.91 | 0.00 |
time (sec) |
N/A | 0.048 | 0.055 | 0.006 | 1.343 | 0.815 | 0.280 | 0.386 | 1.145 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 54 | 54 | 51 | 48 | 48 | 55 | 51 | 48 | 47 | 0 |
N.S. | 1 | 1.00 | 0.94 | 0.89 | 0.89 | 1.02 | 0.94 | 0.89 | 0.87 | 0.00 |
time (sec) |
N/A | 0.048 | 0.037 | 0.007 | 1.316 | 0.616 | 0.507 | 0.375 | 1.138 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 54 | 54 | 55 | 51 | 49 | 55 | 54 | 50 | 50 | 0 |
N.S. | 1 | 1.00 | 1.02 | 0.94 | 0.91 | 1.02 | 1.00 | 0.93 | 0.93 | 0.00 |
time (sec) |
N/A | 0.049 | 0.037 | 0.004 | 1.328 | 0.752 | 1.010 | 0.432 | 1.148 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 109 | 109 | 98 | 102 | 101 | 0 | 110 | 105 | 108 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.94 | 0.93 | 0.00 | 1.01 | 0.96 | 0.99 | 0.00 |
time (sec) |
N/A | 0.124 | 0.057 | 0.001 | 1.365 | 0.000 | 0.135 | 0.350 | 1.130 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 109 | 109 | 92 | 102 | 101 | 0 | 110 | 105 | 108 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.94 | 0.93 | 0.00 | 1.01 | 0.96 | 0.99 | 0.00 |
time (sec) |
N/A | 0.112 | 0.070 | 0.001 | 1.305 | 0.000 | 0.142 | 0.369 | 1.111 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 104 | 104 | 92 | 102 | 101 | 0 | 110 | 105 | 107 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.98 | 0.97 | 0.00 | 1.06 | 1.01 | 1.03 | 0.00 |
time (sec) |
N/A | 0.074 | 0.044 | 0.002 | 1.389 | 0.000 | 0.088 | 0.360 | 1.111 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 99 | 99 | 88 | 99 | 98 | 0 | 107 | 102 | 105 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.00 | 0.99 | 0.00 | 1.08 | 1.03 | 1.06 | 0.00 |
time (sec) |
N/A | 0.072 | 0.056 | 0.002 | 1.348 | 0.000 | 0.089 | 0.379 | 1.106 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 92 | 92 | 88 | 100 | 96 | 96 | 104 | 100 | 103 | 0 |
N.S. | 1 | 1.00 | 0.96 | 1.09 | 1.04 | 1.04 | 1.13 | 1.09 | 1.12 | 0.00 |
time (sec) |
N/A | 0.069 | 0.079 | 0.003 | 1.384 | 0.802 | 0.318 | 0.464 | 1.106 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 90 | 90 | 88 | 98 | 96 | 103 | 99 | 98 | 92 | 0 |
N.S. | 1 | 1.00 | 0.98 | 1.09 | 1.07 | 1.14 | 1.10 | 1.09 | 1.02 | 0.00 |
time (sec) |
N/A | 0.080 | 0.060 | 0.007 | 1.315 | 0.514 | 0.351 | 0.378 | 1.107 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 98 | 98 | 87 | 97 | 96 | 103 | 100 | 97 | 103 | 0 |
N.S. | 1 | 1.00 | 0.89 | 0.99 | 0.98 | 1.05 | 1.02 | 0.99 | 1.05 | 0.00 |
time (sec) |
N/A | 0.086 | 0.044 | 0.007 | 1.325 | 0.660 | 0.578 | 0.335 | 1.106 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 98 | 98 | 83 | 97 | 97 | 103 | 100 | 97 | 106 | 0 |
N.S. | 1 | 1.00 | 0.85 | 0.99 | 0.99 | 1.05 | 1.02 | 0.99 | 1.08 | 0.00 |
time (sec) |
N/A | 0.086 | 0.056 | 0.007 | 1.370 | 0.881 | 1.456 | 0.430 | 1.275 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 149 | 149 | 149 | 150 | 145 | 0 | 163 | 153 | 153 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.01 | 0.97 | 0.00 | 1.09 | 1.03 | 1.03 | 0.00 |
time (sec) |
N/A | 0.186 | 0.026 | 0.002 | 1.328 | 0.000 | 0.167 | 0.459 | 1.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 149 | 149 | 125 | 150 | 145 | 0 | 165 | 153 | 153 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.01 | 0.97 | 0.00 | 1.11 | 1.03 | 1.03 | 0.00 |
time (sec) |
N/A | 0.141 | 0.065 | 0.000 | 1.361 | 0.000 | 0.138 | 0.461 | 1.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 138 | 138 | 124 | 150 | 145 | 0 | 163 | 153 | 153 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.09 | 1.05 | 0.00 | 1.18 | 1.11 | 1.11 | 0.00 |
time (sec) |
N/A | 0.095 | 0.063 | 0.002 | 1.336 | 0.000 | 0.136 | 0.362 | 1.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | F(-2) | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 133 | 133 | 121 | 147 | 142 | 0 | 158 | 149 | 149 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.11 | 1.07 | 0.00 | 1.19 | 1.12 | 1.12 | 0.00 |
time (sec) |
N/A | 0.093 | 0.050 | 0.001 | 1.341 | 0.000 | 0.135 | 0.401 | 1.259 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 129 | 129 | 121 | 148 | 140 | 140 | 158 | 148 | 147 | 0 |
N.S. | 1 | 1.00 | 0.94 | 1.15 | 1.09 | 1.09 | 1.22 | 1.15 | 1.14 | 0.00 |
time (sec) |
N/A | 0.090 | 0.067 | 0.004 | 1.321 | 0.737 | 0.399 | 0.327 | 1.264 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 124 | 124 | 123 | 145 | 139 | 147 | 150 | 145 | 121 | 0 |
N.S. | 1 | 1.00 | 0.99 | 1.17 | 1.12 | 1.19 | 1.21 | 1.17 | 0.98 | 0.00 |
time (sec) |
N/A | 0.109 | 0.081 | 0.007 | 1.348 | 0.815 | 0.456 | 0.406 | 1.184 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 135 | 135 | 124 | 144 | 139 | 147 | 151 | 144 | 143 | 0 |
N.S. | 1 | 1.00 | 0.92 | 1.07 | 1.03 | 1.09 | 1.12 | 1.07 | 1.06 | 0.00 |
time (sec) |
N/A | 0.112 | 0.062 | 0.007 | 1.357 | 0.842 | 0.674 | 0.409 | 1.257 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 139 | 139 | 124 | 146 | 142 | 147 | 155 | 146 | 148 | 0 |
N.S. | 1 | 1.00 | 0.89 | 1.05 | 1.02 | 1.06 | 1.12 | 1.05 | 1.06 | 0.00 |
time (sec) |
N/A | 0.114 | 0.050 | 0.009 | 1.317 | 0.774 | 1.086 | 0.396 | 1.368 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 151 | 151 | 130 | 176 | 145 | 332 | 316 | 161 | -1 | 0 |
N.S. | 1 | 1.00 | 0.86 | 1.17 | 0.96 | 2.20 | 2.09 | 1.07 | -0.01 | 0.00 |
time (sec) |
N/A | 0.145 | 0.082 | 0.007 | 2.962 | 0.965 | 1.434 | 0.431 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 130 | 130 | 114 | 152 | 127 | 270 | 274 | 137 | -1 | 0 |
N.S. | 1 | 1.00 | 0.88 | 1.17 | 0.98 | 2.08 | 2.11 | 1.05 | -0.01 | 0.00 |
time (sec) |
N/A | 0.124 | 0.104 | 0.006 | 2.932 | 0.941 | 1.349 | 0.350 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 111 | 111 | 95 | 128 | 98 | 238 | 245 | 112 | -1 | 0 |
N.S. | 1 | 1.00 | 0.86 | 1.15 | 0.88 | 2.14 | 2.21 | 1.01 | -0.01 | 0.00 |
time (sec) |
N/A | 0.113 | 0.057 | 0.005 | 3.002 | 0.923 | 1.647 | 0.399 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 92 | 92 | 81 | 106 | 82 | 180 | 211 | 88 | -1 | 0 |
N.S. | 1 | 1.00 | 0.88 | 1.15 | 0.89 | 1.96 | 2.29 | 0.96 | -0.01 | 0.00 |
time (sec) |
N/A | 0.085 | 0.071 | 0.006 | 3.007 | 0.984 | 0.988 | 0.423 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 73 | 73 | 68 | 83 | 64 | 157 | 219 | 66 | 79 | 0 |
N.S. | 1 | 1.00 | 0.93 | 1.14 | 0.88 | 2.15 | 3.00 | 0.90 | 1.08 | 0.00 |
time (sec) |
N/A | 0.065 | 0.043 | 0.003 | 2.929 | 0.760 | 0.881 | 0.460 | 1.425 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 72 | 72 | 73 | 80 | 65 | 158 | 0 | 66 | -1 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.11 | 0.90 | 2.19 | 0.00 | 0.92 | -0.01 | 0.00 |
time (sec) |
N/A | 0.098 | 0.056 | 0.007 | 2.931 | 0.920 | 0.000 | 0.451 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 76 | 76 | 75 | 83 | 67 | 165 | 0 | 68 | 78 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.09 | 0.88 | 2.17 | 0.00 | 0.89 | 1.03 | 0.00 |
time (sec) |
N/A | 0.098 | 0.048 | 0.008 | 3.001 | 0.768 | 0.000 | 0.383 | 1.212 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 92 | 92 | 84 | 102 | 76 | 205 | 0 | 80 | 97 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.11 | 0.83 | 2.23 | 0.00 | 0.87 | 1.05 | 0.00 |
time (sec) |
N/A | 0.109 | 0.084 | 0.008 | 3.052 | 1.044 | 0.000 | 0.386 | 1.304 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 176 | 176 | 139 | 201 | 150 | 468 | 335 | 159 | -1 | 0 |
N.S. | 1 | 1.00 | 0.79 | 1.14 | 0.85 | 2.66 | 1.90 | 0.90 | -0.01 | 0.00 |
time (sec) |
N/A | 0.268 | 0.134 | 0.011 | 2.835 | 0.584 | 4.769 | 0.432 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 154 | 154 | 128 | 177 | 127 | 372 | 289 | 131 | -1 | 0 |
N.S. | 1 | 1.00 | 0.83 | 1.15 | 0.82 | 2.42 | 1.88 | 0.85 | -0.01 | 0.00 |
time (sec) |
N/A | 0.241 | 0.083 | 0.010 | 2.999 | 0.855 | 3.868 | 0.377 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 134 | 134 | 100 | 154 | 108 | 357 | 284 | 111 | 152 | 0 |
N.S. | 1 | 1.00 | 0.75 | 1.15 | 0.81 | 2.66 | 2.12 | 0.83 | 1.13 | 0.00 |
time (sec) |
N/A | 0.226 | 0.082 | 0.010 | 2.963 | 0.875 | 4.611 | 0.390 | 1.292 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 101 | 101 | 92 | 127 | 84 | 287 | 212 | 81 | -1 | 0 |
N.S. | 1 | 1.00 | 0.91 | 1.26 | 0.83 | 2.84 | 2.10 | 0.80 | -0.01 | 0.00 |
time (sec) |
N/A | 0.118 | 0.051 | 0.010 | 3.016 | 0.812 | 5.763 | 0.431 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 93 | 93 | 83 | 97 | 89 | 257 | 233 | 88 | 110 | 0 |
N.S. | 1 | 1.00 | 0.89 | 1.04 | 0.96 | 2.76 | 2.51 | 0.95 | 1.18 | 0.00 |
time (sec) |
N/A | 0.065 | 0.091 | 0.008 | 2.945 | 0.845 | 3.094 | 0.375 | 1.316 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 95 | 95 | 85 | 125 | 87 | 296 | 0 | 93 | -1 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.32 | 0.92 | 3.12 | 0.00 | 0.98 | -0.01 | 0.00 |
time (sec) |
N/A | 0.122 | 0.076 | 0.013 | 2.914 | 0.874 | 0.000 | 0.348 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 110 | 110 | 110 | 136 | 105 | 336 | 0 | 103 | 133 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.24 | 0.95 | 3.05 | 0.00 | 0.94 | 1.21 | 0.00 |
time (sec) |
N/A | 0.142 | 0.074 | 0.014 | 2.985 | 0.876 | 0.000 | 0.342 | 1.410 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 135 | 135 | 112 | 169 | 117 | 441 | 0 | 126 | 158 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.25 | 0.87 | 3.27 | 0.00 | 0.93 | 1.17 | 0.00 |
time (sec) |
N/A | 0.204 | 0.103 | 0.016 | 2.945 | 1.019 | 0.000 | 0.422 | 1.348 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 185 | 185 | 139 | 235 | 165 | 574 | 357 | 157 | 232 | 0 |
N.S. | 1 | 1.00 | 0.75 | 1.27 | 0.89 | 3.10 | 1.93 | 0.85 | 1.25 | 0.00 |
time (sec) |
N/A | 0.338 | 0.117 | 0.013 | 3.075 | 0.838 | 29.587 | 0.410 | 1.556 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 155 | 155 | 126 | 206 | 136 | 480 | 282 | 122 | -1 | 0 |
N.S. | 1 | 1.00 | 0.81 | 1.33 | 0.88 | 3.10 | 1.82 | 0.79 | -0.01 | 0.00 |
time (sec) |
N/A | 0.232 | 0.076 | 0.012 | 2.984 | 0.933 | 29.728 | 0.385 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 136 | 136 | 122 | 133 | 146 | 447 | 304 | 128 | 195 | 0 |
N.S. | 1 | 1.00 | 0.90 | 0.98 | 1.07 | 3.29 | 2.24 | 0.94 | 1.43 | 0.00 |
time (sec) |
N/A | 0.158 | 0.095 | 0.010 | 2.977 | 0.865 | 20.010 | 0.422 | 1.391 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 119 | 119 | 99 | 110 | 111 | 357 | 178 | 97 | -1 | 0 |
N.S. | 1 | 1.00 | 0.83 | 0.92 | 0.93 | 3.00 | 1.50 | 0.82 | -0.01 | 0.00 |
time (sec) |
N/A | 0.114 | 0.134 | 0.010 | 2.993 | 0.768 | 16.372 | 0.391 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 116 | 116 | 104 | 111 | 122 | 346 | 184 | 106 | 163 | 0 |
N.S. | 1 | 1.00 | 0.90 | 0.96 | 1.05 | 2.98 | 1.59 | 0.91 | 1.41 | 0.00 |
time (sec) |
N/A | 0.068 | 0.114 | 0.009 | 2.998 | 0.880 | 11.272 | 0.386 | 1.327 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | B | F(-1) | A | F | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 130 | 130 | 117 | 184 | 133 | 488 | 0 | 128 | -1 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.42 | 1.02 | 3.75 | 0.00 | 0.98 | -0.01 | 0.00 |
time (sec) |
N/A | 0.135 | 0.109 | 0.015 | 2.904 | 0.957 | 0.000 | 0.479 | 0.000 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | B | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 144 | 144 | 141 | 195 | 152 | 524 | 0 | 141 | 202 | 0 |
N.S. |
1 | 1.00 | 0.98 | 1.35 | 1.06 | 3.64 | 0.00 | 0.98 | 1.40 | 0.00 |
time (sec) |
N/A | 0.228 | 0.099 | 0.016 | 2.986 | 0.903 | 0.000 | 0.490 | 1.400 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | B | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 174 | 174 | 147 | 250 | 172 | 696 | 0 | 162 | 229 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.44 | 0.99 | 4.00 | 0.00 | 0.93 | 1.32 | 0.00 |
time (sec) |
N/A | 0.311 | 0.163 | 0.018 | 2.991 | 0.827 | 0.000 | 0.380 | 1.456 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 20 | 20 | 20 | 19 | 18 | 24 | 15 | 25 | 20 | 0 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.90 | 1.20 | 0.75 | 1.25 | 1.00 | 0.00 |
time (sec) |
N/A | 0.023 | 0.007 | 0.010 | 1.339 | 0.804 | 0.174 | 0.317 | 0.912 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 23 | 23 | 18 | 15 | 22 | 14 | 22 | 17 | 14 | 18 |
N.S. | 1 | 1.00 | 0.78 | 0.65 | 0.96 | 0.61 | 0.96 | 0.74 | 0.61 | 0.78 |
time (sec) |
N/A | 0.021 | 0.009 | 0.006 | 1.344 | 0.816 | 0.694 | 0.401 | 0.102 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 25 | 25 | 25 | 21 | 20 | 20 | 20 | 20 | 20 | 0 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.80 | 0.80 | 0.80 | 0.80 | 0.80 | 0.00 |
time (sec) |
N/A | 0.024 | 0.013 | 0.004 | 2.920 | 0.741 | 0.141 | 0.355 | 0.038 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 30 | 30 | 30 | 25 | 24 | 24 | 22 | 24 | 24 | 0 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.80 | 0.80 | 0.73 | 0.80 | 0.80 | 0.00 |
time (sec) |
N/A | 0.025 | 0.007 | 0.003 | 2.899 | 0.829 | 0.111 | 0.389 | 0.035 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 210 | 210 | 210 | 278 | 213 | 452 | 384 | 250 | 289 | 0 |
N.S. | 1 | 1.00 | 1.00 | 1.32 | 1.01 | 2.15 | 1.83 | 1.19 | 1.38 | 0.00 |
time (sec) |
N/A | 0.161 | 0.156 | 0.005 | 2.897 | 0.859 | 1.652 | 0.457 | 0.929 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 172 | 172 | 162 | 230 | 172 | 368 | 337 | 200 | 243 | 0 |
N.S. | 1 | 1.00 | 0.94 | 1.34 | 1.00 | 2.14 | 1.96 | 1.16 | 1.41 | 0.00 |
time (sec) |
N/A | 0.123 | 0.121 | 0.006 | 2.930 | 0.668 | 1.321 | 0.368 | 0.944 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 136 | 136 | 128 | 182 | 133 | 286 | 185 | 152 | 193 | 0 |
N.S. | 1 | 1.00 | 0.94 | 1.34 | 0.98 | 2.10 | 1.36 | 1.12 | 1.42 | 0.00 |
time (sec) |
N/A | 0.105 | 0.097 | 0.003 | 2.964 | 0.791 | 1.128 | 0.416 | 0.912 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 100 | 100 | 98 | 135 | 94 | 236 | 160 | 106 | 96 | 0 |
N.S. | 1 | 1.00 | 0.98 | 1.35 | 0.94 | 2.36 | 1.60 | 1.06 | 0.96 | 0.00 |
time (sec) |
N/A | 0.062 | 0.083 | 0.003 | 2.972 | 1.140 | 1.149 | 0.448 | 0.936 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 84 | 84 | 83 | 114 | 80 | 211 | 150 | 86 | 76 | 0 |
N.S. | 1 | 1.00 | 0.99 | 1.36 | 0.95 | 2.51 | 1.79 | 1.02 | 0.90 | 0.00 |
time (sec) |
N/A | 0.094 | 0.066 | 0.007 | 2.929 | 1.252 | 1.638 | 0.337 | 1.067 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 82 | 82 | 83 | 115 | 79 | 216 | 151 | 81 | 80 | 0 |
N.S. | 1 | 1.00 | 1.01 | 1.40 | 0.96 | 2.63 | 1.84 | 0.99 | 0.98 | 0.00 |
time (sec) |
N/A | 0.087 | 0.087 | 0.009 | 2.938 | 1.153 | 2.266 | 0.355 | 0.111 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 104 | 104 | 103 | 142 | 97 | 246 | 167 | 105 | 94 | 0 |
N.S. | 1 | 1.00 | 0.99 | 1.37 | 0.93 | 2.37 | 1.61 | 1.01 | 0.90 | 0.00 |
time (sec) |
N/A | 0.102 | 0.088 | 0.007 | 3.090 | 1.201 | 6.728 | 0.367 | 1.203 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 137 | 137 | 139 | 190 | 134 | 292 | 301 | 151 | 127 | 0 |
N.S. | 1 | 1.00 | 1.01 | 1.39 | 0.98 | 2.13 | 2.20 | 1.10 | 0.93 | 0.00 |
time (sec) |
N/A | 0.130 | 0.124 | 0.010 | 3.031 | 0.849 | 21.646 | 0.455 | 0.981 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 175 | 175 | 174 | 238 | 175 | 374 | 354 | 201 | 161 | 0 |
N.S. | 1 | 1.00 | 0.99 | 1.36 | 1.00 | 2.14 | 2.02 | 1.15 | 0.92 | 0.00 |
time (sec) |
N/A | 0.146 | 0.144 | 0.010 | 3.006 | 0.954 | 32.721 | 0.423 | 1.018 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 211 | 211 | 211 | 286 | 214 | 458 | 398 | 249 | 197 | 0 |
N.S. | 1 | 1.00 | 1.00 | 1.36 | 1.01 | 2.17 | 1.89 | 1.18 | 0.93 | 0.00 |
time (sec) |
N/A | 0.175 | 0.171 | 0.010 | 2.952 | 1.083 | 84.142 | 0.356 | 0.988 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 240 | 240 | 227 | 309 | 227 | 572 | 444 | 252 | 413 | 0 |
N.S. | 1 | 1.00 | 0.95 | 1.29 | 0.95 | 2.38 | 1.85 | 1.05 | 1.72 | 0.00 |
time (sec) |
N/A | 0.294 | 0.128 | 0.013 | 3.007 | 0.875 | 3.070 | 0.387 | 0.099 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 202 | 202 | 187 | 258 | 183 | 478 | 257 | 201 | 288 | 0 |
N.S. | 1 | 1.00 | 0.93 | 1.28 | 0.91 | 2.37 | 1.27 | 1.00 | 1.43 | 0.00 |
time (sec) |
N/A | 0.235 | 0.104 | 0.012 | 3.006 | 1.171 | 4.762 | 0.417 | 0.966 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 163 | 163 | 148 | 212 | 140 | 418 | 221 | 152 | 153 | 0 |
N.S. | 1 | 1.00 | 0.91 | 1.30 | 0.86 | 2.56 | 1.36 | 0.93 | 0.94 | 0.00 |
time (sec) |
N/A | 0.229 | 0.089 | 0.012 | 2.957 | 1.170 | 3.036 | 0.373 | 1.002 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 118 | 118 | 122 | 177 | 117 | 364 | 201 | 126 | 113 | 0 |
N.S. | 1 | 1.00 | 1.03 | 1.50 | 0.99 | 3.08 | 1.70 | 1.07 | 0.96 | 0.00 |
time (sec) |
N/A | 0.120 | 0.098 | 0.011 | 2.967 | 1.044 | 2.877 | 0.403 | 0.100 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 112 | 112 | 115 | 165 | 117 | 354 | 197 | 122 | 112 | 0 |
N.S. | 1 | 1.00 | 1.03 | 1.47 | 1.04 | 3.16 | 1.76 | 1.09 | 1.00 | 0.00 |
time (sec) |
N/A | 0.132 | 0.070 | 0.013 | 2.992 | 1.018 | 9.465 | 0.360 | 0.996 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 121 | 121 | 125 | 182 | 130 | 378 | 212 | 123 | 119 | 0 |
N.S. | 1 | 1.00 | 1.03 | 1.50 | 1.07 | 3.12 | 1.75 | 1.02 | 0.98 | 0.00 |
time (sec) |
N/A | 0.158 | 0.079 | 0.015 | 3.023 | 1.019 | 25.992 | 0.483 | 0.131 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 152 | 152 | 151 | 219 | 151 | 438 | 226 | 151 | 145 | 0 |
N.S. | 1 | 1.00 | 0.99 | 1.44 | 0.99 | 2.88 | 1.49 | 0.99 | 0.95 | 0.00 |
time (sec) |
N/A | 0.213 | 0.091 | 0.015 | 2.989 | 0.962 | 32.024 | 0.490 | 0.999 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 189 | 189 | 190 | 268 | 194 | 488 | 394 | 201 | 181 | 0 |
N.S. | 1 | 1.00 | 1.01 | 1.42 | 1.03 | 2.58 | 2.08 | 1.06 | 0.96 | 0.00 |
time (sec) |
N/A | 0.293 | 0.109 | 0.019 | 3.047 | 1.016 | 99.022 | 0.433 | 0.987 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 230 | 230 | 230 | 318 | 238 | 582 | 0 | 252 | 219 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.38 | 1.03 | 2.53 | 0.00 | 1.10 | 0.95 | 0.00 |
time (sec) |
N/A | 0.376 | 0.124 | 0.016 | 2.985 | 0.872 | 0.000 | 0.378 | 1.010 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 287 | 287 | 272 | 394 | 281 | 762 | 503 | 301 | 506 | 0 |
N.S. | 1 | 1.00 | 0.95 | 1.37 | 0.98 | 2.66 | 1.75 | 1.05 | 1.76 | 0.00 |
time (sec) |
N/A | 0.492 | 0.186 | 0.016 | 3.104 | 1.079 | 16.433 | 0.400 | 0.999 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 247 | 247 | 232 | 343 | 237 | 668 | 316 | 250 | 348 | 0 |
N.S. | 1 | 1.00 | 0.94 | 1.39 | 0.96 | 2.70 | 1.28 | 1.01 | 1.41 | 0.00 |
time (sec) |
N/A | 0.411 | 0.152 | 0.015 | 2.991 | 1.142 | 18.216 | 0.470 | 0.107 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 207 | 207 | 176 | 294 | 193 | 614 | 280 | 200 | 206 | 0 |
N.S. | 1 | 1.00 | 0.85 | 1.42 | 0.93 | 2.97 | 1.35 | 0.97 | 1.00 | 0.00 |
time (sec) |
N/A | 0.334 | 0.177 | 0.014 | 3.038 | 0.935 | 17.840 | 0.509 | 0.954 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 167 | 167 | 156 | 259 | 169 | 555 | 260 | 173 | 163 | 0 |
N.S. | 1 | 1.00 | 0.93 | 1.55 | 1.01 | 3.32 | 1.56 | 1.04 | 0.98 | 0.00 |
time (sec) |
N/A | 0.262 | 0.134 | 0.012 | 3.021 | 0.971 | 13.069 | 0.448 | 1.018 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 147 | 147 | 141 | 234 | 154 | 504 | 243 | 149 | 148 | 0 |
N.S. | 1 | 1.00 | 0.96 | 1.59 | 1.05 | 3.43 | 1.65 | 1.01 | 1.01 | 0.00 |
time (sec) |
N/A | 0.150 | 0.122 | 0.010 | 2.996 | 1.171 | 10.095 | 0.457 | 1.047 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 153 | 153 | 155 | 237 | 161 | 517 | 250 | 153 | 149 | 0 |
N.S. | 1 | 1.00 | 1.01 | 1.55 | 1.05 | 3.38 | 1.63 | 1.00 | 0.97 | 0.00 |
time (sec) |
N/A | 0.176 | 0.132 | 0.013 | 2.992 | 1.174 | 26.563 | 0.449 | 1.094 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 168 | 168 | 169 | 264 | 181 | 570 | 270 | 170 | 166 | 0 |
N.S. | 1 | 1.00 | 1.01 | 1.57 | 1.08 | 3.39 | 1.61 | 1.01 | 0.99 | 0.00 |
time (sec) |
N/A | 0.242 | 0.159 | 0.015 | 3.073 | 0.867 | 70.490 | 0.449 | 1.027 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 196 | 196 | 196 | 300 | 202 | 628 | 284 | 198 | 192 | 0 |
N.S. | 1 | 1.00 | 1.00 | 1.53 | 1.03 | 3.20 | 1.45 | 1.01 | 0.98 | 0.00 |
time (sec) |
N/A | 0.350 | 0.124 | 0.018 | 2.978 | 1.163 | 150.751 | 0.439 | 1.043 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 234 | 234 | 234 | 351 | 247 | 678 | 0 | 250 | 230 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.50 | 1.06 | 2.90 | 0.00 | 1.07 | 0.98 | 0.00 |
time (sec) |
N/A | 0.486 | 0.147 | 0.019 | 3.026 | 1.080 | 0.000 | 0.466 | 1.046 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 277 | 277 | 276 | 401 | 291 | 772 | 0 | 301 | 268 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.45 | 1.05 | 2.79 | 0.00 | 1.09 | 0.97 | 0.00 |
time (sec) |
N/A | 0.603 | 0.158 | 0.022 | 3.090 | 0.745 | 0.000 | 0.403 | 1.070 | 0.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 214 | 214 | 158 | 193 | 347 | 177 | 442 | 264 | 186 | 196 |
N.S. | 1 | 1.00 | 0.74 | 0.90 | 1.62 | 0.83 | 2.07 | 1.23 | 0.87 | 0.92 |
time (sec) |
N/A | 0.252 | 0.174 | 0.008 | 1.401 | 1.030 | 4.676 | 0.449 | 1.191 | 0.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 167 | 167 | 122 | 145 | 263 | 134 | 340 | 197 | 146 | 148 |
N.S. | 1 | 1.00 | 0.73 | 0.87 | 1.57 | 0.80 | 2.04 | 1.18 | 0.87 | 0.89 |
time (sec) |
N/A | 0.194 | 0.123 | 0.008 | 1.449 | 1.104 | 2.905 | 0.508 | 1.107 | 0.080 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 121 | 121 | 89 | 99 | 180 | 94 | 238 | 130 | 103 | 102 |
N.S. | 1 | 1.00 | 0.74 | 0.82 | 1.49 | 0.78 | 1.97 | 1.07 | 0.85 | 0.84 |
time (sec) |
N/A | 0.133 | 0.085 | 0.004 | 1.349 | 0.976 | 2.189 | 0.407 | 1.064 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 103 | 103 | 86 | 134 | 122 | 205 | 102 | 127 | 99 | 89 |
N.S. | 1 | 1.00 | 0.83 | 1.30 | 1.18 | 1.99 | 0.99 | 1.23 | 0.96 | 0.86 |
time (sec) |
N/A | 0.140 | 0.130 | 0.009 | 1.346 | 1.034 | 37.870 | 0.398 | 1.810 | 0.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 100 | 100 | 131 | 127 | 104 | 210 | 138 | 114 | 99 | 92 |
N.S. | 1 | 1.00 | 1.31 | 1.27 | 1.04 | 2.10 | 1.38 | 1.14 | 0.99 | 0.92 |
time (sec) |
N/A | 0.203 | 0.412 | 0.010 | 1.327 | 0.931 | 127.426 | 0.554 | 1.947 | 0.188 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | C | A | A | A | F(-1) | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 114 | 114 | 141 | 162 | 128 | 221 | 0 | 141 | 133 | 102 |
N.S. |
1 | 1.00 | 1.24 | 1.42 | 1.12 | 1.94 | 0.00 | 1.24 | 1.17 | 0.89 |
time (sec) |
N/A | 0.233 | 0.374 | 0.011 | 1.379 | 1.080 | 0.000 | 0.397 | 2.191 | 0.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | C | A | A | A | F(-1) | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 146 | 146 | 162 | 238 | 193 | 261 | 0 | 232 | 199 | 126 |
N.S. |
1 | 1.00 | 1.11 | 1.63 | 1.32 | 1.79 | 0.00 | 1.59 | 1.36 | 0.86 |
time (sec) |
N/A | 0.276 | 1.024 | 0.013 | 1.388 | 1.151 | 0.000 | 0.391 | 2.543 | 0.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | C | A | A | A | F(-1) | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 195 | 195 | 140 | 320 | 275 | 341 | 0 | 361 | 277 | 172 |
N.S. |
1 | 1.00 | 0.72 | 1.64 | 1.41 | 1.75 | 0.00 | 1.85 | 1.42 | 0.88 |
time (sec) |
N/A | 0.350 | 0.336 | 0.016 | 1.346 | 1.403 | 0.000 | 0.397 | 2.913 | 0.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 245 | 245 | 184 | 368 | 339 | 414 | 586 | 224 | -1 | 215 |
N.S. | 1 | 1.00 | 0.75 | 1.50 | 1.38 | 1.69 | 2.39 | 0.91 | -0.00 | 0.88 |
time (sec) |
N/A | 0.258 | 0.238 | 0.024 | 1.459 | 1.437 | 42.122 | 0.527 | 0.000 | 0.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 194 | 194 | 149 | 284 | 255 | 329 | 444 | 175 | -1 | 167 |
N.S. | 1 | 1.00 | 0.77 | 1.46 | 1.31 | 1.70 | 2.29 | 0.90 | -0.01 | 0.86 |
time (sec) |
N/A | 0.208 | 0.167 | 0.010 | 1.387 | 1.068 | 32.562 | 0.537 | 0.000 | 0.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 145 | 145 | 118 | 203 | 174 | 250 | 362 | 129 | -1 | 123 |
N.S. | 1 | 1.00 | 0.81 | 1.40 | 1.20 | 1.72 | 2.50 | 0.89 | -0.01 | 0.85 |
time (sec) |
N/A | 0.119 | 0.114 | 0.007 | 1.350 | 1.009 | 13.711 | 0.564 | 0.000 | 0.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 117 | 117 | 103 | 140 | 118 | 216 | 250 | 121 | -1 | 105 |
N.S. | 1 | 1.00 | 0.88 | 1.20 | 1.01 | 1.85 | 2.14 | 1.03 | -0.01 | 0.90 |
time (sec) |
N/A | 0.136 | 0.118 | 0.010 | 1.259 | 0.877 | 9.052 | 0.522 | 0.000 | 0.224 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 110 | 110 | 93 | 117 | 102 | 210 | 197 | 176 | 143 | 95 |
N.S. | 1 | 1.00 | 0.85 | 1.06 | 0.93 | 1.91 | 1.79 | 1.60 | 1.30 | 0.86 |
time (sec) |
N/A | 0.127 | 0.113 | 0.011 | 1.333 | 0.738 | 4.729 | 0.559 | 2.199 | 0.238 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 118 | 118 | 95 | 136 | 128 | 221 | 456 | 324 | 105 | 101 |
N.S. | 1 | 1.00 | 0.81 | 1.15 | 1.08 | 1.87 | 3.86 | 2.75 | 0.89 | 0.86 |
time (sec) |
N/A | 0.133 | 0.113 | 0.011 | 1.327 | 1.024 | 6.207 | 0.597 | 1.724 | 0.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 140 | 140 | 103 | 111 | 193 | 100 | 891 | 554 | 124 | 114 |
N.S. | 1 | 1.00 | 0.74 | 0.79 | 1.38 | 0.71 | 6.36 | 3.96 | 0.89 | 0.81 |
time (sec) |
N/A | 0.184 | 0.081 | 0.006 | 1.403 | 1.208 | 6.712 | 0.571 | 1.280 | 0.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | B | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 189 | 189 | 134 | 157 | 275 | 141 | 1642 | 667 | 171 | 160 |
N.S. | 1 | 1.00 | 0.71 | 0.83 | 1.46 | 0.75 | 8.69 | 3.53 | 0.90 | 0.85 |
time (sec) |
N/A | 0.254 | 0.096 | 0.007 | 1.386 | 1.602 | 7.689 | 0.603 | 1.282 | 0.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 381 | 381 | 273 | 517 | 1221 | 987 | 0 | 342 | -1 | 306 |
N.S. |
1 | 1.00 | 0.72 | 1.36 | 3.20 | 2.59 | 0.00 | 0.90 | -0.00 | 0.80 |
time (sec) |
N/A | 0.662 | 0.576 | 0.296 | 1.888 | 1.769 | 0.000 | 0.642 | 0.000 | 1.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 279 | 279 | 229 | 460 | 986 | 816 | 0 | 265 | -1 | 241 |
N.S. |
1 | 1.00 | 0.82 | 1.65 | 3.53 | 2.92 | 0.00 | 0.95 | -0.00 | 0.86 |
time (sec) |
N/A | 0.455 | 0.479 | 0.011 | 1.787 | 1.546 | 0.000 | 0.593 | 0.000 | 1.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | B | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 210 | 210 | 194 | 405 | 753 | 653 | 0 | 203 | -1 | 188 |
N.S. |
1 | 1.00 | 0.92 | 1.93 | 3.59 | 3.11 | 0.00 | 0.97 | -0.00 | 0.90 |
time (sec) |
N/A | 0.387 | 0.497 | 0.013 | 1.686 | 1.091 | 0.000 | 0.598 | 0.000 | 0.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | B | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 179 | 192 | 168 | 363 | 533 | 491 | 0 | 160 | -1 | 158 |
N.S. |
1 | 1.07 | 0.94 | 2.03 | 2.98 | 2.74 | 0.00 | 0.89 | -0.01 | 0.88 |
time (sec) |
N/A | 0.314 | 0.456 | 0.010 | 1.661 | 1.425 | 0.000 | 0.550 | 0.000 | 0.649 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 134 | 134 | 98 | 109 | 335 | 141 | 0 | 131 | -1 | 112 |
N.S. |
1 | 1.00 | 0.73 | 0.81 | 2.50 | 1.05 | 0.00 | 0.98 | -0.01 | 0.84 |
time (sec) |
N/A | 0.210 | 0.107 | 0.006 | 1.423 | 1.013 | 0.000 | 0.534 | 0.000 | 0.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 185 | 179 | 133 | 157 | 313 | 182 | 0 | 211 | -1 | 160 |
N.S. |
1 | 0.97 | 0.72 | 0.85 | 1.69 | 0.98 | 0.00 | 1.14 | -0.01 | 0.86 |
time (sec) |
N/A | 0.246 | 0.184 | 0.008 | 1.471 | 0.928 | 0.000 | 0.575 | 0.000 | 0.512 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 242 | 242 | 165 | 205 | 337 | 225 | 0 | 349 | -1 | 208 |
N.S. |
1 | 1.00 | 0.68 | 0.85 | 1.39 | 0.93 | 0.00 | 1.44 | -0.00 | 0.86 |
time (sec) |
N/A | 0.322 | 0.134 | 0.010 | 1.468 | 1.470 | 0.000 | 0.557 | 0.000 | 0.569 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 281 | 275 | 202 | 253 | 398 | 270 | 0 | 592 | 405 | 256 |
N.S. |
1 | 0.98 | 0.72 | 0.90 | 1.42 | 0.96 | 0.00 | 2.11 | 1.44 | 0.91 |
time (sec) |
N/A | 0.429 | 0.158 | 0.009 | 1.545 | 1.829 | 0.000 | 0.632 | 2.397 | 0.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | B | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 334 | 334 | 234 | 301 | 489 | 311 | 0 | 938 | 421 | 304 |
N.S. |
1 | 1.00 | 0.70 | 0.90 | 1.46 | 0.93 | 0.00 | 2.81 | 1.26 | 0.91 |
time (sec) |
N/A | 0.480 | 0.161 | 0.010 | 1.518 | 2.896 | 0.000 | 0.712 | 2.836 | 0.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | F(-1) | B | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 392 | 380 | 270 | 349 | 579 | 354 | 0 | 1162 | -1 | 352 |
N.S. |
1 | 0.97 | 0.69 | 0.89 | 1.48 | 0.90 | 0.00 | 2.96 | -0.00 | 0.90 |
time (sec) |
N/A | 0.546 | 0.180 | 0.010 | 1.574 | 3.810 | 0.000 | 0.736 | 0.000 | 0.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 214 | 214 | 158 | 193 | 347 | 177 | 442 | 264 | 186 | 196 |
N.S. | 1 | 1.00 | 0.74 | 0.90 | 1.62 | 0.83 | 2.07 | 1.23 | 0.87 | 0.92 |
time (sec) |
N/A | 0.222 | 0.185 | 0.007 | 1.435 | 0.956 | 9.372 | 0.454 | 1.203 | 0.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 167 | 167 | 122 | 145 | 263 | 134 | 340 | 197 | 146 | 148 |
N.S. | 1 | 1.00 | 0.73 | 0.87 | 1.57 | 0.80 | 2.04 | 1.18 | 0.87 | 0.89 |
time (sec) |
N/A | 0.175 | 0.131 | 0.007 | 1.367 | 1.108 | 5.409 | 0.498 | 1.140 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 121 | 121 | 89 | 99 | 180 | 94 | 238 | 130 | 103 | 102 |
N.S. | 1 | 1.00 | 0.74 | 0.82 | 1.49 | 0.78 | 1.97 | 1.07 | 0.85 | 0.84 |
time (sec) |
N/A | 0.150 | 0.090 | 0.006 | 1.355 | 0.712 | 3.406 | 0.398 | 1.084 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | B | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 261 | 257 | 221 | 478 | 826 | 705 | 0 | 224 | -1 | 224 |
N.S. |
1 | 0.98 | 0.85 | 1.83 | 3.16 | 2.70 | 0.00 | 0.86 | -0.00 | 0.86 |
time (sec) |
N/A | 0.716 | 0.590 | 0.011 | 1.747 | 1.521 | 0.000 | 0.559 | 0.000 | 0.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | B | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 214 | 250 | 197 | 427 | 597 | 567 | 0 | 204 | -1 | 204 |
N.S. |
1 | 1.17 | 0.92 | 2.00 | 2.79 | 2.65 | 0.00 | 0.95 | -0.00 | 0.95 |
time (sec) |
N/A | 0.410 | 0.514 | 0.009 | 1.743 | 1.421 | 0.000 | 0.590 | 0.000 | 0.729 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | I.A. | |
grade |
A | A | A | A | B | A | F(-1) | A | F | A |
verified | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | Yes |
size | 193 | 193 | 138 | 166 | 421 | 187 | 0 | 220 | -1 | 169 |
N.S. |
1 | 1.00 | 0.72 | 0.86 | 2.18 | 0.97 | 0.00 | 1.14 | -0.01 | 0.88 |
time (sec) |
N/A | 0.341 | 0.189 | 0.007 | 1.540 | 0.925 | 0.000 | 0.602 | 0.000 | 0.572 |