Detailed conclusion table per each integral is given by the 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 as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 99 | 97 | 92 | 121 | 114 | 124 | 491 | 103 |
N.S. |
1 | 0.92 | 0.90 | 0.85 | 1.12 | 1.06 | 1.15 | 4.55 | 0.95 |
time (sec) |
N/A | 0.295 | 0.050 | 0.736 | 0.186 | 0.257 | 0.369 | 0.295 | 3.657 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 89 | 87 | 84 | 110 | 102 | 112 | 394 | 92 |
N.S. |
1 | 0.93 | 0.91 | 0.88 | 1.15 | 1.06 | 1.17 | 4.10 | 0.96 |
time (sec) |
N/A | 0.298 | 0.046 | 0.184 | 0.186 | 0.266 | 0.343 | 0.284 | 3.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 81 | 79 | 76 | 99 | 93 | 100 | 305 | 83 |
N.S. |
1 | 0.96 | 0.94 | 0.90 | 1.18 | 1.11 | 1.19 | 3.63 | 0.99 |
time (sec) |
N/A | 0.279 | 0.036 | 0.124 | 0.202 | 0.261 | 0.300 | 0.288 | 3.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 46 | 95 | 59 | 85 | 77 | 75 | 211 | 65 |
N.S. |
1 | 1.05 | 2.16 | 1.34 | 1.93 | 1.75 | 1.70 | 4.80 | 1.48 |
time (sec) |
N/A | 0.224 | 0.015 | 0.126 | 0.203 | 0.249 | 0.172 | 0.276 | 3.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 57 | 73 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.257 | 0.031 | 0.426 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 71 | 87 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 0.060 | 0.167 | 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 | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 52 | 76 | 76 | 89 | 89 | 95 | 192 | 75 |
N.S. |
1 | 0.93 | 1.36 | 1.36 | 1.59 | 1.59 | 1.70 | 3.43 | 1.34 |
time (sec) |
N/A | 0.258 | 0.059 | 0.168 | 0.195 | 0.271 | 0.331 | 0.273 | 3.480 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 87 | 86 | 86 | 99 | 101 | 117 | 306 | 110 |
N.S. |
1 | 0.89 | 0.88 | 0.88 | 1.01 | 1.03 | 1.19 | 3.12 | 1.12 |
time (sec) |
N/A | 0.305 | 0.057 | 0.168 | 0.206 | 0.269 | 0.380 | 0.289 | 3.365 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 95 | 94 | 94 | 114 | 110 | 129 | 401 | 120 |
N.S. |
1 | 0.86 | 0.85 | 0.85 | 1.04 | 1.00 | 1.17 | 3.65 | 1.09 |
time (sec) |
N/A | 0.304 | 0.061 | 0.155 | 0.195 | 0.253 | 0.437 | 0.280 | 3.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 131 | 125 | 124 | 210 | 162 | 196 | 620 | 146 |
N.S. |
1 | 0.83 | 0.80 | 0.79 | 1.34 | 1.03 | 1.25 | 3.95 | 0.93 |
time (sec) |
N/A | 0.426 | 0.061 | 1.270 | 0.189 | 0.261 | 0.464 | 0.288 | 3.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 123 | 115 | 116 | 184 | 146 | 177 | 525 | 134 |
N.S. |
1 | 0.86 | 0.80 | 0.81 | 1.29 | 1.02 | 1.24 | 3.67 | 0.94 |
time (sec) |
N/A | 0.407 | 0.053 | 1.349 | 0.189 | 0.261 | 0.381 | 0.272 | 3.459 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 113 | 107 | 108 | 179 | 137 | 167 | 425 | 122 |
N.S. |
1 | 0.88 | 0.83 | 0.84 | 1.39 | 1.06 | 1.29 | 3.29 | 0.95 |
time (sec) |
N/A | 0.384 | 0.047 | 2.276 | 0.191 | 0.292 | 0.360 | 0.287 | 3.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 58 | 92 | 80 | 147 | 114 | 131 | 330 | 105 |
N.S. |
1 | 0.82 | 1.30 | 1.13 | 2.07 | 1.61 | 1.85 | 4.65 | 1.48 |
time (sec) |
N/A | 0.239 | 0.057 | 0.964 | 0.203 | 0.258 | 0.218 | 0.278 | 3.734 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 103 | 103 | 173 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.90 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 0.068 | 0.969 | 0.314 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 80 | 73 | 89 | 0 | 0 | 0 | 410 | 0 |
N.S. |
1 | 1.31 | 1.20 | 1.46 | 0.00 | 0.00 | 0.00 | 6.72 | 0.00 |
time (sec) |
N/A | 0.320 | 0.070 | 1.032 | 0.000 | 0.000 | 0.000 | 1.115 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 143 | 123 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.357 | 0.086 | 1.015 | 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 | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 68 | 103 | 110 | 157 | 128 | 158 | 330 | 116 |
N.S. |
1 | 0.84 | 1.27 | 1.36 | 1.94 | 1.58 | 1.95 | 4.07 | 1.43 |
time (sec) |
N/A | 0.282 | 0.080 | 1.007 | 0.179 | 0.278 | 0.395 | 0.280 | 3.362 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 122 | 114 | 118 | 178 | 147 | 189 | 431 | 168 |
N.S. |
1 | 0.83 | 0.78 | 0.80 | 1.21 | 1.00 | 1.29 | 2.93 | 1.14 |
time (sec) |
N/A | 0.406 | 0.080 | 1.017 | 0.186 | 0.290 | 0.465 | 0.278 | 3.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 132 | 122 | 126 | 194 | 156 | 199 | 532 | 182 |
N.S. |
1 | 0.82 | 0.76 | 0.78 | 1.20 | 0.97 | 1.24 | 3.30 | 1.13 |
time (sec) |
N/A | 0.422 | 0.075 | 1.050 | 0.194 | 0.255 | 0.530 | 0.300 | 3.434 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 158 | 151 | 152 | 285 | 190 | 243 | 722 | 177 |
N.S. |
1 | 0.82 | 0.79 | 0.79 | 1.48 | 0.99 | 1.27 | 3.76 | 0.92 |
time (sec) |
N/A | 0.466 | 0.071 | 1.533 | 0.191 | 0.261 | 0.520 | 0.290 | 4.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 150 | 142 | 144 | 265 | 178 | 235 | 621 | 165 |
N.S. |
1 | 0.84 | 0.80 | 0.81 | 1.49 | 1.00 | 1.32 | 3.49 | 0.93 |
time (sec) |
N/A | 0.447 | 0.065 | 1.317 | 0.200 | 0.258 | 0.449 | 0.285 | 3.491 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 112 | 133 | 134 | 244 | 165 | 211 | 527 | 153 |
N.S. |
1 | 0.83 | 0.99 | 0.99 | 1.81 | 1.22 | 1.56 | 3.90 | 1.13 |
time (sec) |
N/A | 0.317 | 0.052 | 1.112 | 0.199 | 0.270 | 0.404 | 0.298 | 3.480 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 76 | 115 | 101 | 219 | 149 | 182 | 425 | 136 |
N.S. |
1 | 0.90 | 1.37 | 1.20 | 2.61 | 1.77 | 2.17 | 5.06 | 1.62 |
time (sec) |
N/A | 0.252 | 0.065 | 1.116 | 0.187 | 0.266 | 0.312 | 0.283 | 3.472 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 148 | 131 | 228 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.86 | 1.50 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.377 | 0.085 | 1.128 | 0.291 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 149 | 131 | 229 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.87 | 1.53 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 0.091 | 1.284 | 0.294 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 165 | 137 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 0.090 | 1.341 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 175 | 151 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.424 | 0.108 | 1.240 | 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 | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 76 | 131 | 138 | 228 | 163 | 207 | 431 | 147 |
N.S. |
1 | 0.82 | 1.41 | 1.48 | 2.45 | 1.75 | 2.23 | 4.63 | 1.58 |
time (sec) |
N/A | 0.293 | 0.090 | 1.212 | 0.200 | 0.261 | 0.463 | 0.274 | 3.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 108 | 140 | 146 | 250 | 175 | 233 | 533 | 233 |
N.S. |
1 | 0.79 | 1.02 | 1.07 | 1.82 | 1.28 | 1.70 | 3.89 | 1.70 |
time (sec) |
N/A | 0.333 | 0.087 | 1.142 | 0.193 | 0.275 | 0.567 | 0.293 | 3.454 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 161 | 149 | 154 | 273 | 188 | 257 | 634 | 220 |
N.S. |
1 | 0.82 | 0.76 | 0.79 | 1.39 | 0.96 | 1.31 | 3.23 | 1.12 |
time (sec) |
N/A | 0.456 | 0.091 | 1.374 | 0.187 | 0.272 | 0.647 | 0.292 | 3.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 186 | 177 | 178 | 373 | 222 | 294 | 817 | 337 |
N.S. |
1 | 0.83 | 0.79 | 0.79 | 1.67 | 0.99 | 1.31 | 3.65 | 1.50 |
time (sec) |
N/A | 0.501 | 0.083 | 1.475 | 0.184 | 0.263 | 0.611 | 0.303 | 4.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 147 | 168 | 170 | 339 | 208 | 279 | 723 | 196 |
N.S. |
1 | 0.86 | 0.98 | 0.99 | 1.98 | 1.22 | 1.63 | 4.23 | 1.15 |
time (sec) |
N/A | 0.411 | 0.079 | 1.420 | 0.193 | 0.261 | 0.518 | 0.309 | 3.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 126 | 159 | 164 | 326 | 198 | 269 | 621 | 185 |
N.S. |
1 | 0.82 | 1.04 | 1.07 | 2.13 | 1.29 | 1.76 | 4.06 | 1.21 |
time (sec) |
N/A | 0.329 | 0.070 | 1.243 | 0.202 | 0.259 | 0.482 | 0.294 | 3.491 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 90 | 146 | 121 | 283 | 177 | 226 | 526 | 168 |
N.S. |
1 | 0.84 | 1.36 | 1.13 | 2.64 | 1.65 | 2.11 | 4.92 | 1.57 |
time (sec) |
N/A | 0.267 | 0.074 | 1.099 | 0.205 | 0.258 | 0.325 | 0.307 | 3.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 179 | 159 | 276 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.86 | 1.49 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.428 | 0.105 | 1.306 | 0.300 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 194 | 159 | 281 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.09 | 0.89 | 1.58 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.434 | 0.116 | 1.382 | 0.309 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 143 | 147 | 293 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.94 | 1.88 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.405 | 0.110 | 1.417 | 0.298 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 197 | 165 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.467 | 0.123 | 1.466 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 206 | 179 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.463 | 0.117 | 1.589 | 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 | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 88 | 157 | 166 | 299 | 191 | 253 | 532 | 179 |
N.S. |
1 | 0.81 | 1.44 | 1.52 | 2.74 | 1.75 | 2.32 | 4.88 | 1.64 |
time (sec) |
N/A | 0.303 | 0.109 | 1.414 | 0.192 | 0.275 | 0.561 | 0.297 | 3.394 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 118 | 166 | 174 | 329 | 208 | 291 | 634 | 248 |
N.S. |
1 | 0.78 | 1.10 | 1.15 | 2.18 | 1.38 | 1.93 | 4.20 | 1.64 |
time (sec) |
N/A | 0.334 | 0.106 | 1.141 | 0.196 | 0.268 | 0.690 | 0.289 | 3.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 192 | 175 | 182 | 353 | 218 | 301 | 735 | 260 |
N.S. |
1 | 0.84 | 0.76 | 0.79 | 1.54 | 0.95 | 1.31 | 3.21 | 1.14 |
time (sec) |
N/A | 0.506 | 0.106 | 1.261 | 0.203 | 0.273 | 0.751 | 0.305 | 4.207 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 195 | 129 | 162 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.73 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.131 | 0.379 | 1.168 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 138 | 97 | 132 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.67 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.722 | 0.259 | 1.073 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 91 | 75 | 106 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.80 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.447 | 0.175 | 1.377 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 52 | 78 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 1.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 0.155 | 1.503 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 55 | 115 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 2.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 0.187 | 1.016 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 89 | 96 | 156 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.03 | 1.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.541 | 0.227 | 1.072 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 126 | 139 | 188 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.95 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.829 | 0.342 | 1.287 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 181 | 178 | 218 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.96 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.230 | 0.428 | 1.338 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 142 | 163 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.451 | 0.593 | 1.198 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 121 | 137 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.409 | 0.484 | 1.037 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 99 | 123 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 0.342 | 1.055 | 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 | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 55 | 64 | 41 | 96 | 49 | 95 | 63 | 45 |
N.S. |
1 | 0.96 | 1.12 | 0.72 | 1.68 | 0.86 | 1.67 | 1.11 | 0.79 |
time (sec) |
N/A | 0.246 | 0.101 | 0.940 | 0.185 | 0.254 | 0.442 | 0.288 | 4.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 101 | 159 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 0.341 | 1.220 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 146 | 184 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.448 | 1.316 | 1.014 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 192 | 218 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.507 | 0.850 | 1.043 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 189 | 197 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.535 | 0.624 | 1.209 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 167 | 170 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.474 | 0.571 | 1.195 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 145 | 157 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 0.435 | 1.094 | 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 | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 75 | 99 | 68 | 152 | 84 | 277 | 114 | 81 |
N.S. |
1 | 0.97 | 1.29 | 0.88 | 1.97 | 1.09 | 3.60 | 1.48 | 1.05 |
time (sec) |
N/A | 0.279 | 0.088 | 1.010 | 0.199 | 0.262 | 0.695 | 0.285 | 4.123 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 74 | 86 | 72 | 134 | 75 | 224 | 118 | 123 |
N.S. |
1 | 0.96 | 1.12 | 0.94 | 1.74 | 0.97 | 2.91 | 1.53 | 1.60 |
time (sec) |
N/A | 0.260 | 0.096 | 1.015 | 0.189 | 0.266 | 0.659 | 0.283 | 3.704 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 147 | 190 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.443 | 0.404 | 1.134 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 191 | 222 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.522 | 0.941 | 1.227 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 219 | 256 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.578 | 1.196 | 1.383 | 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 | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 82 | 75 | 75 | 132 | 91 | 294 | 161 | 139 |
N.S. |
1 | 1.02 | 0.94 | 0.94 | 1.65 | 1.14 | 3.68 | 2.01 | 1.74 |
time (sec) |
N/A | 0.267 | 0.105 | 1.055 | 0.195 | 0.261 | 0.965 | 0.300 | 3.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 39 | 88 | 120 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 2.15 | 2.93 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 0.159 | 1.331 | 0.192 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 271 | 306 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.856 | 0.544 | 0.760 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 234 | 278 | 402 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.18 | 1.70 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.733 | 0.382 | 0.295 | 0.450 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 201 | 249 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 0.432 | 0.257 | 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 | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 122 | 156 | 211 | 290 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.39 | 1.88 | 2.59 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.303 | 0.431 | 0.348 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 228 | 1835 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 9.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.666 | 0.337 | 9.730 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 249 | 1857 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.24 | 9.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.720 | 0.368 | 22.477 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 206 | 276 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.36 | 1.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.565 | 0.230 | 1.252 | 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 | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 246 | 308 | 417 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.19 | 1.50 | 2.02 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.676 | 0.363 | 1.420 | 0.621 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 329 | 374 | 766 | 0 | 0 | 1135 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.05 | 2.15 | 0.00 | 0.00 | 3.19 | 0.00 |
time (sec) |
N/A | 1.223 | 0.732 | 1.826 | 0.448 | 0.000 | 0.000 | 2.374 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 312 | 312 | 297 | 345 | 604 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 1.11 | 1.94 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.103 | 0.701 | 1.728 | 0.471 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 263 | 318 | 610 | 0 | 0 | 761 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.14 | 2.18 | 0.00 | 0.00 | 2.72 | 0.00 |
time (sec) |
N/A | 0.884 | 0.738 | 1.578 | 0.493 | 0.000 | 0.000 | 1.616 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 170 | 227 | 223 | 464 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.30 | 1.27 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 0.642 | 1.285 | 0.361 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 324 | 895 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 3.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.851 | 0.481 | 5.862 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 341 | 2527 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 8.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.910 | 0.383 | 4.557 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 370 | 952 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 3.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.951 | 0.621 | 7.009 | 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 | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 227 | 270 | 350 | 555 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.11 | 1.43 | 2.27 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.501 | 0.457 | 2.192 | 0.623 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 415 | 415 | 385 | 436 | 928 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.05 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.587 | 1.149 | 1.796 | 0.445 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 377 | 377 | 356 | 408 | 775 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.08 | 2.06 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.414 | 0.908 | 1.536 | 0.442 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 286 | 286 | 325 | 377 | 780 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 1.32 | 2.73 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.779 | 1.756 | 1.568 | 0.446 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 206 | 197 | 293 | 276 | 627 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.42 | 1.34 | 3.04 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.444 | 1.545 | 1.332 | 0.398 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 355 | 355 | 448 | 959 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.26 | 2.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.092 | 0.600 | 7.533 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 361 | 361 | 479 | 1012 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.33 | 2.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.041 | 0.501 | 9.072 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 461 | 1086 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 2.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.063 | 0.786 | 7.994 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 569 | 1197 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.44 | 3.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.211 | 0.502 | 9.352 | 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 | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 256 | 343 | 412 | 813 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.27 | 1.52 | 3.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.573 | 0.558 | 2.294 | 0.626 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 330 | 372 | 440 | 783 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.06 | 1.25 | 2.22 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.631 | 0.808 | 2.382 | 0.644 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 479 | 449 | 402 | 468 | 961 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.84 | 0.98 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.820 | 1.000 | 2.734 | 0.621 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 329 | 423 | 347 | 967 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 1.05 | 2.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.422 | 0.712 | 14.274 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 247 | 271 | 260 | 905 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.05 | 3.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.816 | 0.501 | 6.873 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 172 | 183 | 140 | 2602 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.81 | 15.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.441 | 0.579 | 3.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 85 | 102 | 287 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.21 | 3.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.490 | 0.439 | 1.845 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 77 | 84 | 132 | 1148 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.71 | 14.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.513 | 0.727 | 2.892 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 162 | 166 | 226 | 4168 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.40 | 25.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.444 | 0.643 | 2.731 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |