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 | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 174 | 186 | 96 | 190 | 0 | 75 | 94 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.55 | 1.09 | 0.00 | 0.43 | 0.54 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.265 | 10.080 | 3.027 | 0.000 | 0.084 | 5.011 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 299 | 322 | 80 | 222 | 0 | 56 | 94 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.27 | 0.74 | 0.00 | 0.19 | 0.31 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.391 | 10.055 | 3.076 | 0.000 | 0.081 | 2.999 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 139 | 152 | 79 | 168 | 0 | 50 | 94 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.57 | 1.21 | 0.00 | 0.36 | 0.68 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.229 | 10.042 | 3.100 | 0.000 | 0.086 | 1.760 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 290 | 316 | 82 | 223 | 0 | 63 | 97 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.28 | 0.77 | 0.00 | 0.22 | 0.33 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.392 | 10.030 | 3.064 | 0.000 | 0.085 | 2.434 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 138 | 151 | 81 | 178 | 0 | 60 | 97 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.59 | 1.29 | 0.00 | 0.43 | 0.70 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.239 | 10.035 | 3.046 | 0.000 | 0.079 | 4.816 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 342 | 358 | 82 | 243 | 0 | 79 | 104 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.24 | 0.71 | 0.00 | 0.23 | 0.30 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.417 | 10.034 | 3.075 | 0.000 | 0.086 | 15.980 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 211 | 221 | 111 | 252 | 0 | 145 | 94 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.53 | 1.19 | 0.00 | 0.69 | 0.45 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.288 | 10.107 | 3.647 | 0.000 | 0.091 | 163.871 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 337 | 350 | 84 | 278 | 0 | 123 | 94 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.25 | 0.82 | 0.00 | 0.36 | 0.28 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.406 | 10.091 | 3.728 | 0.000 | 0.089 | 51.922 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 174 | 184 | 85 | 223 | 0 | 106 | 94 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.49 | 1.28 | 0.00 | 0.61 | 0.54 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.255 | 10.082 | 3.541 | 0.000 | 0.085 | 14.071 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 301 | 329 | 76 | 252 | 0 | 99 | 94 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.25 | 0.84 | 0.00 | 0.33 | 0.31 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.400 | 10.074 | 3.102 | 0.000 | 0.101 | 6.183 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 144 | 157 | 75 | 191 | 0 | 88 | 94 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.52 | 1.33 | 0.00 | 0.61 | 0.65 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.242 | 10.043 | 3.008 | 0.000 | 0.083 | 8.244 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 333 | 352 | 77 | 281 | 0 | 117 | 97 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.23 | 0.84 | 0.00 | 0.35 | 0.29 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.421 | 10.034 | 3.557 | 0.000 | 0.082 | 12.750 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 176 | 188 | 91 | 222 | 0 | 117 | 97 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.52 | 1.26 | 0.00 | 0.66 | 0.55 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.264 | 10.045 | 3.469 | 0.000 | 0.084 | 23.140 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 379 | 391 | 78 | 324 | 0 | 140 | 104 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.21 | 0.85 | 0.00 | 0.37 | 0.27 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.453 | 10.040 | 3.774 | 0.000 | 0.083 | 54.017 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 208 | 217 | 116 | 283 | 0 | 179 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.56 | 1.36 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.279 | 10.105 | 4.216 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 349 | 362 | 97 | 300 | 0 | 177 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.28 | 0.86 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.433 | 10.101 | 3.024 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 185 | 196 | 105 | 245 | 0 | 153 | 94 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.57 | 1.32 | 0.00 | 0.83 | 0.51 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.268 | 10.102 | 3.010 | 0.000 | 0.095 | 64.274 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 344 | 364 | 84 | 281 | 0 | 153 | 94 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.24 | 0.82 | 0.00 | 0.44 | 0.27 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.430 | 10.094 | 3.025 | 0.000 | 0.083 | 32.268 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 187 | 197 | 108 | 225 | 0 | 149 | 94 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.58 | 1.20 | 0.00 | 0.80 | 0.50 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.272 | 10.068 | 3.011 | 0.000 | 0.084 | 43.729 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 377 | 388 | 86 | 327 | 0 | 178 | 97 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.23 | 0.87 | 0.00 | 0.47 | 0.26 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.464 | 10.056 | 4.403 | 0.000 | 0.083 | 74.857 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 222 | 120 | 267 | 0 | 174 | 97 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.56 | 1.25 | 0.00 | 0.82 | 0.46 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.284 | 10.079 | 4.188 | 0.000 | 0.084 | 128.916 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 288 | 277 | 225 | 283 | 0 | 168 | 150 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.78 | 0.98 | 0.00 | 0.58 | 0.52 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.384 | 22.347 | 3.147 | 0.000 | 0.092 | 11.269 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 425 | 413 | 145 | 290 | 0 | 134 | 150 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.34 | 0.68 | 0.00 | 0.32 | 0.35 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.507 | 21.235 | 3.123 | 0.000 | 0.100 | 4.242 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 244 | 247 | 189 | 236 | 0 | 124 | 150 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.77 | 0.97 | 0.00 | 0.51 | 0.61 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.332 | 11.168 | 3.080 | 0.000 | 0.086 | 3.765 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 421 | 405 | 129 | 269 | 0 | 113 | 153 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.31 | 0.64 | 0.00 | 0.27 | 0.36 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.498 | 11.087 | 3.094 | 0.000 | 0.090 | 5.056 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 234 | 238 | 171 | 222 | 0 | 108 | 153 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.73 | 0.95 | 0.00 | 0.46 | 0.65 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.330 | 11.143 | 3.085 | 0.000 | 0.087 | 6.310 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 421 | 412 | 125 | 272 | 0 | 115 | 160 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.30 | 0.65 | 0.00 | 0.27 | 0.38 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.504 | 11.096 | 3.131 | 0.000 | 0.095 | 16.892 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 202 | 160 | 208 | 0 | 102 | 144 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.75 | 0.98 | 0.00 | 0.48 | 0.68 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.304 | 10.172 | 3.128 | 0.000 | 0.088 | 11.191 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 386 | 335 | 148 | 282 | 0 | 126 | 151 | 0 | 0 |
| N.S. |
1 | 0.87 | 0.38 | 0.73 | 0.00 | 0.33 | 0.39 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.443 | 10.092 | 3.164 | 0.000 | 0.097 | 29.201 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 217 | 206 | 187 | 233 | 0 | 118 | 151 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.86 | 1.07 | 0.00 | 0.54 | 0.70 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.312 | 10.123 | 3.125 | 0.000 | 0.080 | 77.942 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 441 | 366 | 182 | 323 | 0 | 164 | 0 | 0 | 0 |
| N.S. |
1 | 0.83 | 0.41 | 0.73 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.464 | 20.148 | 3.169 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 530 | 477 | 210 | 376 | 0 | 228 | 306 | 0 | 0 |
| N.S. |
1 | 0.90 | 0.40 | 0.71 | 0.00 | 0.43 | 0.58 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.560 | 11.143 | 3.222 | 0.000 | 0.102 | 84.708 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 340 | 308 | 259 | 324 | 0 | 208 | 306 | 0 | 0 |
| N.S. |
1 | 0.91 | 0.76 | 0.95 | 0.00 | 0.61 | 0.90 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.389 | 11.201 | 3.061 | 0.000 | 0.099 | 38.891 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 482 | 445 | 179 | 331 | 0 | 173 | 306 | 0 | 0 |
| N.S. |
1 | 0.92 | 0.37 | 0.69 | 0.00 | 0.36 | 0.63 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.529 | 11.158 | 3.119 | 0.000 | 0.099 | 10.477 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 286 | 274 | 223 | 276 | 0 | 162 | 306 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.78 | 0.97 | 0.00 | 0.57 | 1.07 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.348 | 11.226 | 3.037 | 0.000 | 0.092 | 9.629 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 476 | 437 | 161 | 307 | 0 | 151 | 309 | 0 | 0 |
| N.S. |
1 | 0.92 | 0.34 | 0.64 | 0.00 | 0.32 | 0.65 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.514 | 11.119 | 3.179 | 0.000 | 0.096 | 13.681 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 288 | 274 | 202 | 260 | 0 | 146 | 309 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.70 | 0.90 | 0.00 | 0.51 | 1.07 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.352 | 11.163 | 3.083 | 0.000 | 0.094 | 16.304 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 468 | 440 | 141 | 285 | 0 | 135 | 320 | 0 | 0 |
| N.S. |
1 | 0.94 | 0.30 | 0.61 | 0.00 | 0.29 | 0.68 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.543 | 11.129 | 3.075 | 0.000 | 0.106 | 32.801 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 430 | 416 | 143 | 294 | 0 | 145 | 144 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.33 | 0.68 | 0.00 | 0.34 | 0.33 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.490 | 11.112 | 3.107 | 0.000 | 0.090 | 26.171 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 240 | 247 | 190 | 242 | 0 | 128 | 144 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.79 | 1.01 | 0.00 | 0.53 | 0.60 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.337 | 11.169 | 3.119 | 0.000 | 0.088 | 9.236 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 375 | 382 | 111 | 252 | 0 | 99 | 144 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.30 | 0.67 | 0.00 | 0.26 | 0.38 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.490 | 11.099 | 3.118 | 0.000 | 0.089 | 4.530 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 193 | 214 | 148 | 198 | 0 | 88 | 144 | 0 | 0 |
| N.S. |
1 | 1.11 | 0.77 | 1.03 | 0.00 | 0.46 | 0.75 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.317 | 11.193 | 3.160 | 0.000 | 0.087 | 3.924 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 372 | 374 | 115 | 258 | 0 | 95 | 148 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.31 | 0.69 | 0.00 | 0.26 | 0.40 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.466 | 11.077 | 3.090 | 0.000 | 0.092 | 4.451 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 184 | 205 | 165 | 208 | 0 | 88 | 148 | 0 | 0 |
| N.S. |
1 | 1.11 | 0.90 | 1.13 | 0.00 | 0.48 | 0.80 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.303 | 11.148 | 3.182 | 0.000 | 0.085 | 7.707 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 387 | 383 | 116 | 261 | 0 | 105 | 155 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.30 | 0.67 | 0.00 | 0.27 | 0.40 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.497 | 11.095 | 3.117 | 0.000 | 0.087 | 22.642 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | C | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 193 | 216 | 159 | 212 | 0 | 99 | 155 | 0 | 0 |
| N.S. |
1 | 1.12 | 0.82 | 1.10 | 0.00 | 0.51 | 0.80 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.321 | 11.153 | 3.190 | 0.000 | 0.078 | 70.797 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 438 | 422 | 155 | 299 | 0 | 133 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.35 | 0.68 | 0.00 | 0.30 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.520 | 11.152 | 3.147 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 242 | 255 | 196 | 249 | 0 | 124 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.81 | 1.03 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.353 | 11.182 | 3.081 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 296 | 284 | 226 | 407 | 0 | 229 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.76 | 1.38 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.372 | 11.186 | 3.692 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 436 | 415 | 133 | 386 | 0 | 194 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.31 | 0.89 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.500 | 11.116 | 3.992 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 245 | 246 | 191 | 331 | 0 | 173 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.78 | 1.35 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.335 | 11.154 | 3.709 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 384 | 382 | 119 | 319 | 0 | 156 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.31 | 0.83 | 0.00 | 0.41 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.477 | 11.098 | 4.082 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 193 | 215 | 174 | 259 | 0 | 148 | 0 | 0 | 0 |
| N.S. |
1 | 1.11 | 0.90 | 1.34 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.327 | 11.121 | 3.710 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 393 | 390 | 126 | 327 | 0 | 166 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.32 | 0.83 | 0.00 | 0.42 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.509 | 11.090 | 3.843 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 207 | 232 | 181 | 268 | 0 | 164 | 0 | 0 | 0 |
| N.S. |
1 | 1.12 | 0.87 | 1.29 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.335 | 11.179 | 3.677 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 434 | 415 | 141 | 352 | 0 | 194 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.32 | 0.81 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.519 | 11.107 | 4.457 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 302 | 284 | 222 | 420 | 0 | 275 | 0 | 0 | 0 |
| N.S. |
1 | 0.94 | 0.74 | 1.39 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.382 | 11.212 | 4.542 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 442 | 413 | 153 | 387 | 0 | 262 | 0 | 0 | 0 |
| N.S. |
1 | 0.93 | 0.35 | 0.88 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.505 | 11.137 | 4.730 | 0.000 | 0.116 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 248 | 243 | 204 | 329 | 0 | 239 | 0 | 0 | 0 |
| N.S. |
1 | 0.98 | 0.82 | 1.33 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.331 | 11.210 | 4.581 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 403 | 398 | 133 | 337 | 0 | 232 | 0 | 0 | 0 |
| N.S. |
1 | 0.99 | 0.33 | 0.84 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.486 | 11.126 | 3.161 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 213 | 232 | 169 | 280 | 0 | 223 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.79 | 1.31 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.334 | 11.207 | 3.093 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 442 | 425 | 161 | 378 | 0 | 255 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.36 | 0.86 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.535 | 11.109 | 4.445 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 258 | 260 | 211 | 318 | 0 | 249 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.82 | 1.23 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.364 | 11.209 | 4.819 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 489 | 451 | 181 | 412 | 0 | 284 | 0 | 0 | 0 |
| N.S. |
1 | 0.92 | 0.37 | 0.84 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.550 | 11.155 | 5.524 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 372 | 402 | 187 | 523 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.50 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.845 | 11.181 | 4.099 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 414 | 424 | 143 | 528 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.35 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.789 | 11.130 | 4.123 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 315 | 331 | 143 | 484 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.45 | 1.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.668 | 11.122 | 3.929 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 365 | 372 | 69 | 690 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.19 | 1.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.897 | 11.047 | 3.249 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 283 | 282 | 67 | 640 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.24 | 2.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.530 | 11.055 | 3.092 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 392 | 401 | 143 | 819 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.36 | 2.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.724 | 11.087 | 3.099 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 308 | 320 | 146 | 745 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.47 | 2.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.665 | 11.112 | 3.071 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 457 | 471 | 190 | 1030 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.42 | 2.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.886 | 11.182 | 3.058 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 485 | 512 | 183 | 571 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.06 | 0.38 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.984 | 11.179 | 4.415 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 372 | 403 | 182 | 527 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.49 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.896 | 11.167 | 4.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 421 | 435 | 155 | 534 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.37 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.807 | 11.182 | 4.331 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 328 | 338 | 153 | 489 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.47 | 1.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.704 | 11.130 | 4.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 417 | 426 | 151 | 1292 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.36 | 3.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.778 | 11.116 | 3.151 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 330 | 337 | 153 | 1144 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.46 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.697 | 11.106 | 3.119 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 459 | 470 | 187 | 1328 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.41 | 2.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.918 | 11.253 | 3.154 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 305 | 336 | 147 | 484 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.10 | 0.48 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.670 | 11.122 | 3.803 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 349 | 365 | 70 | 459 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.20 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.891 | 11.051 | 3.094 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 261 | 279 | 70 | 406 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.27 | 1.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.545 | 11.061 | 3.357 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 203 | 211 | 70 | 326 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.34 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.424 | 11.047 | 3.176 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 188 | 197 | 68 | 323 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.05 | 0.36 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.401 | 11.054 | 3.135 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 379 | 391 | 146 | 530 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.39 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.708 | 11.114 | 3.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 297 | 320 | 148 | 457 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.50 | 1.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.649 | 11.112 | 3.201 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 444 | 461 | 188 | 747 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.42 | 1.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.896 | 11.174 | 3.096 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 444 | 430 | 148 | 763 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.33 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.774 | 11.141 | 3.180 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 338 | 351 | 148 | 594 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.44 | 1.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.690 | 11.128 | 3.091 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 414 | 393 | 133 | 576 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 0.32 | 1.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.694 | 11.101 | 3.062 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 314 | 322 | 133 | 488 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.42 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.623 | 11.090 | 3.151 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 420 | 406 | 148 | 554 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.35 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.733 | 11.148 | 3.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 328 | 336 | 147 | 474 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.45 | 1.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.638 | 11.113 | 3.096 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 493 | 471 | 198 | 787 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.96 | 0.40 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.887 | 11.169 | 3.057 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 397 | 400 | 197 | 619 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.50 | 1.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.867 | 11.188 | 3.179 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 362 | 394 | 184 | 887 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 0.51 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.807 | 11.150 | 4.834 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 413 | 431 | 163 | 826 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.39 | 2.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.740 | 11.144 | 3.163 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 328 | 342 | 163 | 762 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.04 | 0.50 | 2.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.667 | 11.130 | 3.085 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 417 | 429 | 163 | 821 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.39 | 1.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.753 | 11.117 | 3.065 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 335 | 345 | 161 | 744 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.03 | 0.48 | 2.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.661 | 11.110 | 3.058 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |