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 | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 70 | 131 | 129 | 152 | 112 | 116 | 83 |
N.S. | 1 | 1.00 | 0.74 | 1.39 | 1.37 | 1.62 | 1.19 | 1.23 | 0.88 |
time (sec) |
N/A | 0.081 | 0.132 | 2.037 | 0.271 | 0.359 | 0.427 | 0.413 | 1.532 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 27 | 41 | 78 | 64 | 44 | 82 | 26 |
N.S. | 1 | 1.00 | 0.87 | 1.32 | 2.52 | 2.06 | 1.42 | 2.65 | 0.84 |
time (sec) |
N/A | 0.025 | 0.046 | 1.613 | 0.268 | 0.360 | 0.260 | 0.409 | 1.447 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 61 | 71 | 64 | 103 | 0 | 64 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.97 | 0.88 | 1.41 | 0.00 | 0.88 | -0.01 |
time (sec) |
N/A | 0.156 | 0.064 | 5.399 | 0.343 | 0.340 | 0.000 | 0.397 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 104 | 158 | 76 | 214 | 0 | 144 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.27 | 0.61 | 1.73 | 0.00 | 1.16 | -0.01 |
time (sec) |
N/A | 0.205 | 0.225 | 3.663 | 0.342 | 0.365 | 0.000 | 0.406 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 162 | 257 | 88 | 338 | 0 | 243 | -1 |
N.S. | 1 | 1.00 | 0.88 | 1.40 | 0.48 | 1.84 | 0.00 | 1.32 | -0.01 |
time (sec) |
N/A | 0.282 | 0.349 | 4.073 | 0.387 | 0.384 | 0.000 | 0.402 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 212 | 356 | 88 | 397 | 0 | 342 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.50 | 0.37 | 1.67 | 0.00 | 1.44 | -0.00 |
time (sec) |
N/A | 0.327 | 0.318 | 3.649 | 0.359 | 0.418 | 0.000 | 0.398 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 127 | 0 | 117 | 172 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 0.83 | 1.22 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.151 | 0.707 | 1.509 | 0.098 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 95 | 362 | 171 | 191 | 226 | 145 | 126 |
N.S. | 1 | 1.00 | 0.61 | 2.34 | 1.10 | 1.23 | 1.46 | 0.94 | 0.81 |
time (sec) |
N/A | 0.105 | 0.444 | 1.055 | 0.268 | 0.373 | 0.661 | 0.398 | 0.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 72 | 208 | 127 | 154 | 150 | 113 | 89 |
N.S. | 1 | 1.00 | 0.71 | 2.06 | 1.26 | 1.52 | 1.49 | 1.12 | 0.88 |
time (sec) |
N/A | 0.053 | 0.151 | 1.072 | 0.275 | 0.405 | 0.428 | 0.404 | 1.608 |
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 | 65 | 65 | 50 | 96 | 91 | 108 | 110 | 81 | 55 |
N.S. | 1 | 1.00 | 0.77 | 1.48 | 1.40 | 1.66 | 1.69 | 1.25 | 0.85 |
time (sec) |
N/A | 0.032 | 0.103 | 1.027 | 0.265 | 0.382 | 0.277 | 0.387 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 54 | 20 | 57 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 3.60 | 1.33 | 3.80 | 0.87 |
time (sec) |
N/A | 0.018 | 0.002 | 0.480 | 0.257 | 0.348 | 0.164 | 0.384 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 50 | 45 | 73 | 0 | 45 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.94 | 0.85 | 1.38 | 0.00 | 0.85 | -0.02 |
time (sec) |
N/A | 0.099 | 0.046 | 5.289 | 0.329 | 0.382 | 0.000 | 0.407 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 78 | 110 | 53 | 139 | 0 | 100 | -1 |
N.S. | 1 | 1.00 | 0.88 | 1.24 | 0.60 | 1.56 | 0.00 | 1.12 | -0.01 |
time (sec) |
N/A | 0.136 | 0.175 | 5.284 | 0.341 | 0.392 | 0.000 | 0.385 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 113 | 178 | 60 | 229 | 0 | 168 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.42 | 0.48 | 1.83 | 0.00 | 1.34 | -0.01 |
time (sec) |
N/A | 0.194 | 0.352 | 5.347 | 0.350 | 0.357 | 0.000 | 0.385 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 150 | 246 | 61 | 264 | 0 | 236 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.46 | 0.36 | 1.56 | 0.00 | 1.40 | -0.01 |
time (sec) |
N/A | 0.225 | 0.343 | 4.935 | 0.323 | 0.455 | 0.000 | 0.398 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 186 | 0 | 171 | 248 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.82 | 1.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.211 | 0.357 | 0.888 | 0.128 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 136 | 494 | 245 | 274 | 253 | 212 | 173 |
N.S. | 1 | 1.00 | 0.67 | 2.45 | 1.21 | 1.36 | 1.25 | 1.05 | 0.86 |
time (sec) |
N/A | 0.192 | 0.339 | 1.043 | 0.278 | 0.386 | 1.003 | 0.395 | 0.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 98 | 283 | 187 | 214 | 182 | 164 | 112 |
N.S. | 1 | 1.00 | 0.66 | 1.91 | 1.26 | 1.45 | 1.23 | 1.11 | 0.76 |
time (sec) |
N/A | 0.145 | 0.306 | 1.144 | 0.295 | 0.386 | 0.647 | 0.398 | 0.233 |
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 | 94 | 94 | 70 | 131 | 129 | 153 | 112 | 116 | 71 |
N.S. | 1 | 1.00 | 0.74 | 1.39 | 1.37 | 1.63 | 1.19 | 1.23 | 0.76 |
time (sec) |
N/A | 0.079 | 0.126 | 1.085 | 0.285 | 0.353 | 0.429 | 0.402 | 0.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 27 | 34 | 78 | 79 | 44 | 82 | 26 |
N.S. | 1 | 1.00 | 0.87 | 1.10 | 2.52 | 2.55 | 1.42 | 2.65 | 0.84 |
time (sec) |
N/A | 0.026 | 0.051 | 0.739 | 0.262 | 0.412 | 0.273 | 0.387 | 1.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 63 | 71 | 64 | 103 | 0 | 64 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.97 | 0.88 | 1.41 | 0.00 | 0.88 | -0.01 |
time (sec) |
N/A | 0.148 | 0.067 | 3.522 | 0.354 | 0.346 | 0.000 | 0.399 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 106 | 158 | 76 | 203 | 0 | 140 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.27 | 0.61 | 1.64 | 0.00 | 1.13 | -0.01 |
time (sec) |
N/A | 0.198 | 0.179 | 2.696 | 0.351 | 0.331 | 0.000 | 0.413 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 164 | 257 | 88 | 336 | 0 | 239 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.40 | 0.48 | 1.83 | 0.00 | 1.30 | -0.01 |
time (sec) |
N/A | 0.261 | 0.268 | 3.187 | 0.343 | 0.371 | 0.000 | 0.407 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 212 | 356 | 88 | 392 | 0 | 342 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.50 | 0.37 | 1.65 | 0.00 | 1.44 | -0.00 |
time (sec) |
N/A | 0.323 | 0.335 | 2.772 | 0.341 | 0.368 | 0.000 | 0.408 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 119 | 0 | 117 | 172 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 0.00 | 0.75 | 1.11 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.187 | 0.129 | 2.267 | 0.105 | 0.123 | 0.000 | 0.000 | 0.000 |
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 | 143 | 143 | 90 | 362 | 171 | 248 | 314 | 145 | 126 |
N.S. | 1 | 1.00 | 0.63 | 2.53 | 1.20 | 1.73 | 2.20 | 1.01 | 0.88 |
time (sec) |
N/A | 0.151 | 0.586 | 1.204 | 0.268 | 0.364 | 1.397 | 0.399 | 1.717 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 72 | 208 | 127 | 202 | 212 | 113 | 89 |
N.S. | 1 | 1.00 | 0.69 | 1.98 | 1.21 | 1.92 | 2.02 | 1.08 | 0.85 |
time (sec) |
N/A | 0.109 | 0.140 | 1.200 | 0.283 | 0.397 | 1.002 | 0.387 | 0.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 50 | 96 | 91 | 148 | 148 | 81 | 55 |
N.S. | 1 | 1.00 | 0.75 | 1.43 | 1.36 | 2.21 | 2.21 | 1.21 | 0.82 |
time (sec) |
N/A | 0.056 | 0.087 | 1.181 | 0.261 | 0.371 | 0.688 | 0.401 | 0.233 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 35 | 34 | 56 | 72 | 42 | 57 | 26 |
N.S. | 1 | 1.00 | 1.13 | 1.10 | 1.81 | 2.32 | 1.35 | 1.84 | 0.84 |
time (sec) |
N/A | 0.025 | 0.012 | 0.644 | 0.262 | 0.366 | 0.490 | 0.432 | 1.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 50 | 45 | 73 | 0 | 45 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.94 | 0.85 | 1.38 | 0.00 | 0.85 | -0.02 |
time (sec) |
N/A | 0.109 | 0.111 | 6.205 | 0.321 | 0.365 | 0.000 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 78 | 110 | 53 | 159 | 0 | 100 | -1 |
N.S. | 1 | 1.00 | 0.88 | 1.24 | 0.60 | 1.79 | 0.00 | 1.12 | -0.01 |
time (sec) |
N/A | 0.151 | 0.139 | 6.098 | 0.329 | 0.381 | 0.000 | 0.416 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 118 | 178 | 61 | 274 | 0 | 168 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.36 | 0.47 | 2.09 | 0.00 | 1.28 | -0.01 |
time (sec) |
N/A | 0.191 | 0.151 | 6.161 | 0.330 | 0.353 | 0.000 | 0.420 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 150 | 246 | 61 | 315 | 0 | 236 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.46 | 0.36 | 1.86 | 0.00 | 1.40 | -0.01 |
time (sec) |
N/A | 0.269 | 0.200 | 6.218 | 0.329 | 0.384 | 0.000 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A | 0.014 | 0.334 | 0.190 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 89 | 116 | 84 | 257 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 1.27 | 0.92 | 2.82 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.114 | 1.586 | 1.602 | 0.289 | 0.419 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 66 | 94 | 63 | 207 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 1.45 | 0.97 | 3.18 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.094 | 1.496 | 1.736 | 0.291 | 0.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 149 | 70 | 40 | 141 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.31 | 1.56 | 0.89 | 3.13 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.056 | 2.488 | 2.307 | 0.289 | 0.383 | 0.000 | 0.000 | 0.000 |
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 | 11 | 11 | 11 | 13 | 21 | 37 | 0 | 24 | 11 |
N.S. | 1 | 1.00 | 1.00 | 1.18 | 1.91 | 3.36 | 0.00 | 2.18 | 1.00 |
time (sec) |
N/A | 0.007 | 0.008 | 0.441 | 0.271 | 0.358 | 0.000 | 0.411 | 0.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A | 0.014 | 8.447 | 0.509 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A | 0.015 | 12.232 | 0.424 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.304 | 14.917 | 0.189 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 130 | 0 | 0 | 672 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.15 | 0.00 | 0.00 | 5.95 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.078 | 1.566 | 0.430 | 0.000 | 0.430 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 125 | 154 | 0 | 468 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.81 | 2.23 | 0.00 | 6.78 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.304 | 1.769 | 0.000 | 0.410 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 32 | 59 | 37 | 116 | 0 | 70 | 49 |
N.S. | 1 | 1.00 | 1.33 | 2.46 | 1.54 | 4.83 | 0.00 | 2.92 | 2.04 |
time (sec) |
N/A | 0.014 | 0.034 | 1.006 | 0.526 | 0.360 | 0.000 | 0.440 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 23 | 54 | 0 | 23 | 13 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 2.09 | 4.91 | 0.00 | 2.09 | 1.18 |
time (sec) |
N/A | 0.010 | 0.005 | 0.283 | 0.261 | 0.422 | 0.000 | 0.405 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.133 | 4.804 | 0.428 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.164 | 5.472 | 0.447 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.372 | 24.972 | 0.185 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 176 | 121 | 110 | 1113 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.12 | 1.46 | 1.33 | 13.41 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.122 | 4.247 | 1.243 | 0.322 | 0.378 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 55 | 73 | 94 | 378 | 0 | 142 | 102 |
N.S. | 1 | 1.00 | 1.31 | 1.74 | 2.24 | 9.00 | 0.00 | 3.38 | 2.43 |
time (sec) |
N/A | 0.040 | 0.088 | 1.072 | 0.331 | 0.380 | 0.000 | 0.404 | 1.476 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 43 | 131 | 105 | 0 | 184 | 36 |
N.S. | 1 | 1.00 | 1.00 | 1.43 | 4.37 | 3.50 | 0.00 | 6.13 | 1.20 |
time (sec) |
N/A | 0.022 | 0.043 | 1.008 | 0.321 | 0.351 | 0.000 | 0.415 | 1.460 |
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 | 15 | 15 | 15 | 14 | 23 | 84 | 0 | 27 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 1.53 | 5.60 | 0.00 | 1.80 | 0.87 |
time (sec) |
N/A | 0.015 | 0.008 | 0.280 | 0.263 | 0.368 | 0.000 | 0.406 | 1.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.192 | 15.764 | 0.740 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.188 | 13.567 | 0.613 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.072 | 11.071 | 1.332 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 211 | 0 | 0 | 609 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.08 | 0.00 | 0.00 | 3.12 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.149 | 1.024 | 1.407 | 0.000 | 0.383 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 153 | 0 | 0 | 477 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.13 | 0.00 | 0.00 | 3.53 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.106 | 1.037 | 1.405 | 0.000 | 0.405 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 213 | 162 | 0 | 328 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.77 | 2.10 | 0.00 | 4.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.054 | 0.080 | 1.945 | 0.000 | 0.396 | 0.000 | 0.000 | 0.000 |
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 | 23 | 23 | 23 | 21 | 41 | 86 | 0 | 32 | 49 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 1.78 | 3.74 | 0.00 | 1.39 | 2.13 |
time (sec) |
N/A | 0.012 | 0.010 | 0.672 | 0.488 | 0.365 | 0.000 | 0.417 | 1.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.064 | 6.247 | 1.807 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.088 | 6.105 | 1.515 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.021 | 0.432 | 1.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 109 | 125 | 108 | 721 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.22 | 1.40 | 1.21 | 8.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.121 | 3.404 | 2.142 | 0.319 | 0.378 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 168 | 99 | 84 | 515 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.58 | 1.52 | 1.29 | 7.92 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.098 | 2.225 | 2.108 | 0.330 | 0.395 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 46 | 54 | 95 | 185 | 0 | 95 | 45 |
N.S. | 1 | 1.00 | 1.48 | 1.74 | 3.06 | 5.97 | 0.00 | 3.06 | 1.45 |
time (sec) |
N/A | 0.023 | 0.108 | 1.937 | 0.299 | 0.382 | 0.000 | 0.421 | 0.098 |
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 | 13 | 13 | 23 | 18 | 25 | 33 | 0 | 24 | 20 |
N.S. | 1 | 1.00 | 1.77 | 1.38 | 1.92 | 2.54 | 0.00 | 1.85 | 1.54 |
time (sec) |
N/A | 0.008 | 0.006 | 0.753 | 0.277 | 0.368 | 0.000 | 0.417 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.021 | 12.893 | 2.329 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.025 | 8.205 | 1.721 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-2) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.049 | 40.627 | 1.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 245 | 0 | 0 | 2163 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 9.01 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.253 | 2.269 | 180.000 | 0.000 | 0.411 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 180 | 0 | 0 | 1577 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.26 | 0.00 | 0.00 | 11.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.178 | 1.121 | 180.000 | 0.000 | 0.415 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 93 | 178 | 0 | 1064 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 1.96 | 0.00 | 11.69 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.092 | 0.554 | 1.365 | 0.000 | 0.379 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 69 | 66 | 269 | 0 | 76 | 82 |
N.S. | 1 | 1.00 | 1.00 | 2.03 | 1.94 | 7.91 | 0.00 | 2.24 | 2.41 |
time (sec) |
N/A | 0.020 | 0.012 | 1.406 | 0.492 | 0.365 | 0.000 | 0.431 | 1.474 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.050 | 11.254 | 2.059 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.051 | 8.921 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.116 | 16.749 | 1.687 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 260 | 189 | 181 | 966 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.41 | 1.02 | 0.98 | 5.22 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.188 | 2.095 | 2.431 | 0.317 | 0.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 159 | 152 | 138 | 789 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.22 | 1.17 | 1.06 | 6.07 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.146 | 1.959 | 2.443 | 0.325 | 0.400 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 102 | 110 | 95 | 558 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.15 | 1.24 | 1.07 | 6.27 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.085 | 0.157 | 2.389 | 0.342 | 0.402 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 25 | 25 | 56 | 197 | 0 | 60 | 48 |
N.S. | 1 | 1.00 | 0.89 | 0.89 | 2.00 | 7.04 | 0.00 | 2.14 | 1.71 |
time (sec) |
N/A | 0.020 | 0.014 | 0.756 | 0.472 | 0.381 | 0.000 | 0.423 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.093 | 13.243 | 2.609 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.099 | 13.856 | 2.056 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-2) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.144 | 25.440 | 1.737 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 196 | 0 | 0 | 1225 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.21 | 0.00 | 0.00 | 7.56 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.151 | 2.276 | 1.598 | 0.000 | 0.415 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 172 | 205 | 0 | 879 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.65 | 1.97 | 0.00 | 8.45 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.094 | 0.345 | 2.324 | 0.000 | 0.431 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 50 | 94 | 81 | 283 | 0 | 102 | 90 |
N.S. | 1 | 1.00 | 1.09 | 2.04 | 1.76 | 6.15 | 0.00 | 2.22 | 1.96 |
time (sec) |
N/A | 0.047 | 0.068 | 2.175 | 0.524 | 0.359 | 0.000 | 0.428 | 0.104 |
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 | 21 | 21 | 21 | 33 | 54 | 31 | 0 | 41 | 22 |
N.S. | 1 | 1.00 | 1.00 | 1.57 | 2.57 | 1.48 | 0.00 | 1.95 | 1.05 |
time (sec) |
N/A | 0.020 | 0.025 | 0.661 | 0.270 | 0.401 | 0.000 | 0.418 | 0.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.108 | 8.179 | 1.915 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.121 | 6.921 | 1.885 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-2) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.025 | 0.934 | 1.675 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 259 | 234 | 236 | 2207 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.42 | 1.28 | 1.29 | 12.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.251 | 1.762 | 2.943 | 0.313 | 0.409 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 206 | 164 | 183 | 1649 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.78 | 1.41 | 1.58 | 14.22 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.165 | 1.545 | 2.959 | 0.303 | 0.393 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 175 | 111 | 131 | 1106 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.13 | 1.35 | 1.60 | 13.49 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.086 | 5.832 | 2.479 | 0.301 | 0.402 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 23 | 61 | 339 | 0 | 65 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 2.26 | 12.56 | 0.00 | 2.41 | 0.93 |
time (sec) |
N/A | 0.018 | 0.012 | 0.802 | 0.473 | 0.396 | 0.000 | 0.420 | 1.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.020 | 9.082 | 2.499 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.021 | 5.508 | 2.099 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 |
time (sec) |
N/A | 0.012 | 5.033 | 0.649 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 91 | 200 | 130 | 216 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.05 | 2.30 | 1.49 | 2.48 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.127 | 0.009 | 1.460 | 0.307 | 0.370 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 66 | 166 | 96 | 168 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.05 | 2.63 | 1.52 | 2.67 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.099 | 0.008 | 1.336 | 0.305 | 0.373 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 47 | 122 | 58 | 112 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.04 | 2.71 | 1.29 | 2.49 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.063 | 0.006 | 1.380 | 0.303 | 0.404 | 0.000 | 0.000 | 0.000 |