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 | F | F | F(-2) | F | F | F(-1) |
| verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 76 | 113 | 116 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.49 | 1.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.258 | 2.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | F | F | F(-2) | F | F | F(-1) |
| verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 102 | 128 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.289 | 0.000 | 0.000 | 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 | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 19 | 19 | 19 | 18 | 0 | 15 | 15 | 15 | 17 |
| N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.79 | 0.79 | 0.79 | 0.89 |
| time (sec) |
N/A | 0.161 | 0.006 | 0.042 | 0.000 | 0.303 | 0.095 | 0.295 | 5.496 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 34 | 34 | 38 | 49 | 0 | 32 | 32 | 32 | 36 |
| N.S. |
1 | 1.00 | 1.12 | 1.44 | 0.00 | 0.94 | 0.94 | 0.94 | 1.06 |
| time (sec) |
N/A | 0.167 | 0.266 | 4.107 | 0.000 | 0.324 | 0.133 | 0.283 | 5.480 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | A | B | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 34 | 34 | 60 | 71 | 0 | 50 | 53 | 50 | 56 |
| N.S. |
1 | 1.00 | 1.76 | 2.09 | 0.00 | 1.47 | 1.56 | 1.47 | 1.65 |
| time (sec) |
N/A | 0.162 | 0.302 | 4.302 | 0.000 | 0.310 | 0.205 | 0.287 | 5.441 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 101 | 91 | 87 | 380 | 0 | 74 | 0 | 0 | 0 |
| N.S. |
1 | 0.90 | 0.86 | 3.76 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.220 | 0.200 | 4.420 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 77 | 70 | 67 | 310 | 0 | 55 | 0 | 0 | 0 |
| N.S. |
1 | 0.91 | 0.87 | 4.03 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.206 | 0.161 | 4.028 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 53 | 49 | 49 | 233 | 0 | 36 | 0 | 0 | 0 |
| N.S. |
1 | 0.92 | 0.92 | 4.40 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.191 | 0.113 | 4.156 | 0.000 | 0.298 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 30 | 30 | 30 | 139 | 0 | 22 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 4.63 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.161 | 0.077 | 4.160 | 0.000 | 0.335 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | B | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 34 | 33 | 34 | 40 | 21 | 46 | 0 | 24 |
| N.S. |
1 | 1.31 | 1.27 | 1.31 | 1.54 | 0.81 | 1.77 | 0.00 | 0.92 |
| time (sec) |
N/A | 0.160 | 0.131 | 3.943 | 0.212 | 0.375 | 0.602 | 0.000 | 5.450 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 60 | 65 | 49 | 220 | 0 | 41 | 0 | 0 | 0 |
| N.S. |
1 | 1.08 | 0.82 | 3.67 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.198 | 0.146 | 4.304 | 0.000 | 0.311 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 87 | 89 | 75 | 302 | 0 | 65 | 0 | 0 | 0 |
| N.S. |
1 | 1.02 | 0.86 | 3.47 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.217 | 0.203 | 4.348 | 0.000 | 0.308 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 114 | 93 | 89 | 463 | 0 | 105 | 0 | 0 | 0 |
| N.S. |
1 | 0.82 | 0.78 | 4.06 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.222 | 0.257 | 4.147 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 90 | 72 | 67 | 386 | 0 | 83 | 0 | 0 | 0 |
| N.S. |
1 | 0.80 | 0.74 | 4.29 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.209 | 0.220 | 4.132 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 67 | 54 | 50 | 310 | 0 | 52 | 0 | 0 | 0 |
| N.S. |
1 | 0.81 | 0.75 | 4.63 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.198 | 0.155 | 4.228 | 0.000 | 0.268 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | B | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 20 | 32 | 33 | 21 | 23 | 25 | 54 | 0 | 20 |
| N.S. |
1 | 1.60 | 1.65 | 1.05 | 1.15 | 1.25 | 2.70 | 0.00 | 1.00 |
| time (sec) |
N/A | 0.159 | 0.103 | 4.050 | 0.204 | 0.280 | 2.050 | 0.000 | 5.506 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | B | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 45 | 53 | 48 | 54 | 61 | 57 | 189 | 0 | 44 |
| N.S. |
1 | 1.18 | 1.07 | 1.20 | 1.36 | 1.27 | 4.20 | 0.00 | 0.98 |
| time (sec) |
N/A | 0.190 | 0.178 | 4.301 | 0.208 | 0.365 | 2.220 | 0.000 | 5.496 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 94 | 87 | 71 | 296 | 0 | 99 | 0 | 0 | 0 |
| N.S. |
1 | 0.93 | 0.76 | 3.15 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.217 | 0.368 | 4.392 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 125 | 113 | 99 | 379 | 0 | 131 | 0 | 0 | 0 |
| N.S. |
1 | 0.90 | 0.79 | 3.03 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.231 | 0.487 | 4.558 | 0.000 | 0.287 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | B | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 34 | 34 | 34 | 53 | 69 | 43 | 131 | 0 | 36 |
| N.S. |
1 | 1.00 | 1.00 | 1.56 | 2.03 | 1.26 | 3.85 | 0.00 | 1.06 |
| time (sec) |
N/A | 0.159 | 0.110 | 4.260 | 0.212 | 0.351 | 4.065 | 0.000 | 5.484 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 48 | 35 | 35 | 45 | 0 | 16 | 0 | 11 | 0 |
| N.S. |
1 | 0.73 | 0.73 | 0.94 | 0.00 | 0.33 | 0.00 | 0.23 | 0.00 |
| time (sec) |
N/A | 0.175 | 0.126 | 4.062 | 0.000 | 0.271 | 0.000 | 0.274 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | B | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 171 | 130 | 113 | 1127 | 0 | 183 | 0 | 384 | 0 |
| N.S. |
1 | 0.76 | 0.66 | 6.59 | 0.00 | 1.07 | 0.00 | 2.25 | 0.00 |
| time (sec) |
N/A | 0.247 | 0.226 | 5.927 | 0.000 | 0.367 | 0.000 | 0.359 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 126 | 99 | 95 | 787 | 0 | 129 | 0 | 243 | 0 |
| N.S. |
1 | 0.79 | 0.75 | 6.25 | 0.00 | 1.02 | 0.00 | 1.93 | 0.00 |
| time (sec) |
N/A | 0.231 | 0.134 | 14.900 | 0.000 | 0.440 | 0.000 | 0.354 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 83 | 70 | 63 | 304 | 0 | 79 | 0 | 136 | 0 |
| N.S. |
1 | 0.84 | 0.76 | 3.66 | 0.00 | 0.95 | 0.00 | 1.64 | 0.00 |
| time (sec) |
N/A | 0.204 | 0.082 | 6.714 | 0.000 | 0.277 | 0.000 | 0.347 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 38 | 38 | 64 | 147 | 0 | 37 | 0 | 54 | 0 |
| N.S. |
1 | 1.00 | 1.68 | 3.87 | 0.00 | 0.97 | 0.00 | 1.42 | 0.00 |
| time (sec) |
N/A | 0.164 | 0.160 | 6.294 | 0.000 | 0.294 | 0.000 | 0.298 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 51 | 51 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.172 | 0.117 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 63 | 63 | 63 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.178 | 0.083 | 0.000 | 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 | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 62 | 80 | 62 | 63 | 0 | 52 | 53 | 52 | 58 |
| N.S. |
1 | 1.29 | 1.00 | 1.02 | 0.00 | 0.84 | 0.85 | 0.84 | 0.94 |
| time (sec) |
N/A | 0.197 | 0.306 | 5.955 | 0.000 | 0.296 | 0.187 | 0.281 | 5.378 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 43 | 62 | 43 | 42 | 0 | 35 | 36 | 35 | 39 |
| N.S. |
1 | 1.44 | 1.00 | 0.98 | 0.00 | 0.81 | 0.84 | 0.81 | 0.91 |
| time (sec) |
N/A | 0.195 | 0.207 | 5.869 | 0.000 | 0.283 | 0.138 | 0.285 | 5.329 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 21 | 21 | 21 | 20 | 0 | 17 | 15 | 17 | 19 |
| N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.81 | 0.71 | 0.81 | 0.90 |
| time (sec) |
N/A | 0.160 | 0.002 | 0.074 | 0.000 | 0.385 | 0.094 | 0.278 | 5.298 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 44 | 44 | 44 | 222 | 0 | 127 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 5.05 | 0.00 | 2.89 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.164 | 0.101 | 6.469 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 82 | 73 | 305 | 0 | 218 | 0 | 0 | 0 |
| N.S. |
1 | 1.12 | 1.00 | 4.18 | 0.00 | 2.99 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.177 | 0.254 | 6.347 | 0.000 | 0.344 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 98 | 123 | 91 | 378 | 0 | 328 | 0 | 0 | 0 |
| N.S. |
1 | 1.26 | 0.93 | 3.86 | 0.00 | 3.35 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.197 | 0.307 | 6.681 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 22 | 22 | 67 | 17 | 6 | 6 | 0 | 6 | 0 |
| N.S. |
1 | 1.00 | 3.05 | 0.77 | 0.27 | 0.27 | 0.00 | 0.27 | 0.00 |
| time (sec) |
N/A | 0.150 | 0.174 | 5.981 | 0.291 | 0.273 | 0.000 | 0.265 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | A | A | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 22 | 22 | 67 | 17 | 17 | 17 | 0 | 15 | 0 |
| N.S. |
1 | 1.00 | 3.05 | 0.77 | 0.77 | 0.77 | 0.00 | 0.68 | 0.00 |
| time (sec) |
N/A | 0.148 | 0.174 | 5.997 | 0.214 | 0.270 | 0.000 | 0.278 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 22 | 22 | 22 | 17 | 6 | 6 | 0 | 6 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.27 | 0.27 | 0.00 | 0.27 | 0.00 |
| time (sec) |
N/A | 0.152 | 10.026 | 5.979 | 0.306 | 0.277 | 0.000 | 0.266 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 22 | 22 | 22 | 17 | 17 | 17 | 0 | 15 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.77 | 0.77 | 0.00 | 0.68 | 0.00 |
| time (sec) |
N/A | 0.150 | 10.010 | 5.979 | 0.194 | 0.328 | 0.000 | 0.264 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 34 | 34 | 34 | 29 | 0 | 6 | 0 | 6 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.00 | 0.18 | 0.00 | 0.18 | 0.00 |
| time (sec) |
N/A | 0.156 | 0.072 | 6.111 | 0.000 | 0.281 | 0.000 | 0.262 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 34 | 34 | 34 | 29 | 0 | 17 | 0 | 15 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.00 | 0.50 | 0.00 | 0.44 | 0.00 |
| time (sec) |
N/A | 0.156 | 0.069 | 5.952 | 0.000 | 0.298 | 0.000 | 0.270 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 65 | 83 | 65 | 64 | 0 | 53 | 56 | 53 | 59 |
| N.S. |
1 | 1.28 | 1.00 | 0.98 | 0.00 | 0.82 | 0.86 | 0.82 | 0.91 |
| time (sec) |
N/A | 0.198 | 0.313 | 5.982 | 0.000 | 0.297 | 0.185 | 0.298 | 5.396 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 43 | 62 | 43 | 42 | 0 | 35 | 34 | 35 | 39 |
| N.S. |
1 | 1.44 | 1.00 | 0.98 | 0.00 | 0.81 | 0.79 | 0.81 | 0.91 |
| time (sec) |
N/A | 0.188 | 0.207 | 5.885 | 0.000 | 0.286 | 0.132 | 0.313 | 5.336 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 21 | 21 | 21 | 20 | 0 | 17 | 15 | 17 | 19 |
| N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.81 | 0.71 | 0.81 | 0.90 |
| time (sec) |
N/A | 0.150 | 0.002 | 0.073 | 0.000 | 0.279 | 0.097 | 0.270 | 5.312 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 183 | 156 | 133 | 821 | 0 | 549 | 0 | 0 | 0 |
| N.S. |
1 | 0.85 | 0.73 | 4.49 | 0.00 | 3.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.303 | 0.264 | 6.219 | 0.000 | 0.295 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 210 | 197 | 178 | 908 | 0 | 705 | 0 | 0 | 0 |
| N.S. |
1 | 0.94 | 0.85 | 4.32 | 0.00 | 3.36 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.331 | 0.564 | 6.368 | 0.000 | 0.391 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | B | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 235 | 238 | 211 | 981 | 0 | 885 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 0.90 | 4.17 | 0.00 | 3.77 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.357 | 0.488 | 2.292 | 0.000 | 0.304 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 86 | 86 | 82 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.255 | 0.342 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.225 | 0.169 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 73 | 73 | 73 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.225 | 0.117 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 66 | 66 | 66 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.217 | 0.083 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 53 | 53 | 53 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.198 | 0.151 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | F | F | F | F | F | F(-1) |
| verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 71 | 71 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.226 | 0.158 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | F | F | F(-2) | F | F | F(-1) |
| verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 230 | 207 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.536 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 333 | 356 | 312 | 655 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.07 | 0.94 | 1.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.630 | 2.678 | 0.297 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 209 | 228 | 217 | 398 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.09 | 1.04 | 1.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.417 | 1.554 | 0.239 | 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(-1) | F | B | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 113 | 123 | 152 | 213 | 0 | 0 | 0 | 213 | 0 |
| N.S. |
1 | 1.09 | 1.35 | 1.88 | 0.00 | 0.00 | 0.00 | 1.88 | 0.00 |
| time (sec) |
N/A | 0.282 | 0.807 | 0.231 | 0.000 | 0.000 | 0.000 | 0.385 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | B | F | F(-1) | F | F(-2) | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 145 | 116 | 213 | 237 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.80 | 1.47 | 1.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.394 | 0.607 | 0.247 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 155 | 136 | 168 | 331 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.88 | 1.08 | 2.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.335 | 0.850 | 0.243 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 233 | 221 | 245 | 615 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.95 | 1.05 | 2.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.424 | 1.207 | 0.253 | 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(-1) | F | F | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 371 | 359 | 353 | 979 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.97 | 0.95 | 2.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.701 | 2.034 | 0.251 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | F | F | F | F(-2) | F | F(-2) | F(-1) |
| verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
| size | 230 | 207 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.528 | 0.000 | 0.000 | 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 | F | F(-1) | F | A | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 386 | 433 | 409 | 655 | 0 | 0 | 0 | 539 | 0 |
| N.S. |
1 | 1.12 | 1.06 | 1.70 | 0.00 | 0.00 | 0.00 | 1.40 | 0.00 |
| time (sec) |
N/A | 0.826 | 2.690 | 0.256 | 0.000 | 0.000 | 0.000 | 0.431 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 248 | 279 | 279 | 398 | 0 | 0 | 0 | 363 | 0 |
| N.S. |
1 | 1.12 | 1.12 | 1.60 | 0.00 | 0.00 | 0.00 | 1.46 | 0.00 |
| time (sec) |
N/A | 0.580 | 1.536 | 0.246 | 0.000 | 0.000 | 0.000 | 0.417 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 135 | 149 | 174 | 213 | 0 | 0 | 0 | 218 | 0 |
| N.S. |
1 | 1.10 | 1.29 | 1.58 | 0.00 | 0.00 | 0.00 | 1.61 | 0.00 |
| time (sec) |
N/A | 0.345 | 0.793 | 0.283 | 0.000 | 0.000 | 0.000 | 0.389 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | B | B | F | F(-1) | F | B | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 54 | 55 | 115 | 94 | 0 | 0 | 0 | 110 | 0 |
| N.S. |
1 | 1.02 | 2.13 | 1.74 | 0.00 | 0.00 | 0.00 | 2.04 | 0.00 |
| time (sec) |
N/A | 0.255 | 0.344 | 0.254 | 0.000 | 0.000 | 0.000 | 0.370 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | F(-1) | F | F(-1) | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 93 | 67 | 146 | 120 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.72 | 1.57 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.290 | 0.515 | 0.246 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 165 | 155 | 218 | 267 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 0.94 | 1.32 | 1.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.390 | 0.995 | 0.259 | 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(-1) | F | F(-1) | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 289 | 293 | 324 | 487 | 0 | 0 | 0 | 0 | 0 |
| N.S. |
1 | 1.01 | 1.12 | 1.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.635 | 1.367 | 0.250 | 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 | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 26 | 26 | 29 | 19 | 0 | 18 | 0 | 11 | 0 |
| N.S. |
1 | 1.00 | 1.12 | 0.73 | 0.00 | 0.69 | 0.00 | 0.42 | 0.00 |
| time (sec) |
N/A | 0.171 | 0.093 | 5.860 | 0.000 | 0.340 | 0.000 | 0.286 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | B | F | A | F(-1) |
| verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 75 | 79 | 73 | 103 | 0 | 94 | 0 | 74 | 0 |
| N.S. |
1 | 1.05 | 0.97 | 1.37 | 0.00 | 1.25 | 0.00 | 0.99 | 0.00 |
| time (sec) |
N/A | 0.225 | 0.316 | 0.304 | 0.000 | 1.423 | 0.000 | 0.292 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | A | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 79 | 68 | 61 | 377 | 0 | 77 | 0 | 130 | 0 |
| N.S. |
1 | 0.86 | 0.77 | 4.77 | 0.00 | 0.97 | 0.00 | 1.65 | 0.00 |
| time (sec) |
N/A | 0.213 | 0.045 | 7.072 | 0.000 | 0.328 | 0.000 | 0.370 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 70 | 59 | 48 | 83 | 0 | 60 | 63 | 60 | 68 |
| N.S. |
1 | 0.84 | 0.69 | 1.19 | 0.00 | 0.86 | 0.90 | 0.86 | 0.97 |
| time (sec) |
N/A | 0.196 | 0.126 | 6.099 | 0.000 | 0.256 | 0.265 | 0.322 | 5.393 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 55 | 67 | 49 | 61 | 0 | 43 | 46 | 43 | 47 |
| N.S. |
1 | 1.22 | 0.89 | 1.11 | 0.00 | 0.78 | 0.84 | 0.78 | 0.85 |
| time (sec) |
N/A | 0.207 | 0.111 | 6.284 | 0.000 | 0.267 | 0.187 | 0.302 | 5.356 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | F | A | A | A | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 33 | 46 | 30 | 39 | 0 | 25 | 26 | 25 | 28 |
| N.S. |
1 | 1.39 | 0.91 | 1.18 | 0.00 | 0.76 | 0.79 | 0.76 | 0.85 |
| time (sec) |
N/A | 0.181 | 0.083 | 0.062 | 0.000 | 0.288 | 0.151 | 0.275 | 5.311 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 38 | 47 | 35 | 147 | 0 | 34 | 0 | 0 | 0 |
| N.S. |
1 | 1.24 | 0.92 | 3.87 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.191 | 0.027 | 6.037 | 0.000 | 0.293 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | C | F | A | F | F | F(-1) |
| verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
| size | 63 | 52 | 48 | 214 | 0 | 50 | 0 | 0 | 0 |
| N.S. |
1 | 0.83 | 0.76 | 3.40 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
| time (sec) |
N/A | 0.199 | 0.039 | 6.299 | 0.000 | 0.283 | 0.000 | 0.000 | 0.000 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | B | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 32 | 32 | 32 | 31 | 60 | 56 | 92 | 0 | 30 |
| N.S. |
1 | 1.00 | 1.00 | 0.97 | 1.88 | 1.75 | 2.88 | 0.00 | 0.94 |
| time (sec) |
N/A | 0.166 | 0.140 | 6.344 | 0.294 | 0.281 | 4.056 | 0.000 | 5.333 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | A | A | B | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 70 | 59 | 48 | 64 | 109 | 74 | 182 | 0 | 127 |
| N.S. |
1 | 0.84 | 0.69 | 0.91 | 1.56 | 1.06 | 2.60 | 0.00 | 1.81 |
| time (sec) |
N/A | 0.194 | 0.153 | 6.763 | 0.244 | 0.282 | 5.537 | 0.000 | 5.329 |
| Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
| grade |
N/A | A | A | A | B | A | B | F | B |
| verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
| size | 70 | 59 | 48 | 89 | 158 | 92 | 306 | 0 | 208 |
| N.S. |
1 | 0.84 | 0.69 | 1.27 | 2.26 | 1.31 | 4.37 | 0.00 | 2.97 |
| time (sec) |
N/A | 0.198 | 0.153 | 7.516 | 0.252 | 0.257 | 8.618 | 0.000 | 5.353 |