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 | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 72 | 60 | 63 | 63 | 88 | 64 | 108 |
N.S. |
1 | 1.00 | 0.75 | 0.62 | 0.66 | 0.66 | 0.92 | 0.67 | 1.12 |
time (sec) |
N/A | 0.061 | 0.019 | 0.421 | 0.219 | 0.258 | 0.401 | 0.263 | 5.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 63 | 52 | 55 | 55 | 65 | 56 | 88 |
N.S. |
1 | 1.00 | 0.89 | 0.73 | 0.77 | 0.77 | 0.92 | 0.79 | 1.24 |
time (sec) |
N/A | 0.042 | 0.018 | 0.265 | 0.207 | 0.246 | 0.233 | 0.270 | 0.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 42 | 41 | 44 | 42 | 39 | 44 | 48 |
N.S. |
1 | 1.00 | 0.91 | 0.89 | 0.96 | 0.91 | 0.85 | 0.96 | 1.04 |
time (sec) |
N/A | 0.027 | 0.023 | 0.250 | 0.218 | 0.251 | 0.152 | 0.276 | 0.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 23 | 0 | 0 | 26 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.72 | 0.00 | 0.00 | 0.81 | 0.00 | 0.00 |
time (sec) |
N/A | 0.011 | 0.004 | 0.264 | 0.000 | 0.000 | 0.301 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 41 | 35 | 41 | 36 | 0 | 67 |
N.S. |
1 | 1.00 | 1.00 | 0.98 | 0.83 | 0.98 | 0.86 | 0.00 | 1.60 |
time (sec) |
N/A | 0.030 | 0.029 | 0.279 | 0.251 | 0.246 | 0.184 | 0.000 | 5.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 63 | 62 | 35 | 55 | 60 | 0 | 88 |
N.S. |
1 | 1.00 | 0.89 | 0.87 | 0.49 | 0.77 | 0.85 | 0.00 | 1.24 |
time (sec) |
N/A | 0.044 | 0.014 | 0.380 | 0.263 | 0.253 | 0.286 | 0.000 | 0.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 73 | 70 | 35 | 62 | 87 | 0 | 113 |
N.S. |
1 | 1.00 | 0.76 | 0.73 | 0.36 | 0.65 | 0.91 | 0.00 | 1.18 |
time (sec) |
N/A | 0.059 | 0.018 | 0.623 | 0.305 | 0.241 | 0.485 | 0.000 | 5.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 72 | 63 | 52 | 59 | 99 | 52 | 52 |
N.S. |
1 | 1.00 | 0.66 | 0.58 | 0.48 | 0.54 | 0.91 | 0.48 | 0.48 |
time (sec) |
N/A | 0.073 | 0.014 | 0.518 | 0.223 | 0.251 | 0.546 | 0.269 | 0.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 66 | 55 | 44 | 51 | 75 | 44 | 44 |
N.S. |
1 | 1.00 | 0.79 | 0.65 | 0.52 | 0.61 | 0.89 | 0.52 | 0.52 |
time (sec) |
N/A | 0.083 | 0.013 | 0.314 | 0.219 | 0.261 | 0.297 | 0.265 | 5.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 41 | 47 | 36 | 43 | 51 | 36 | 36 |
N.S. |
1 | 1.00 | 0.69 | 0.80 | 0.61 | 0.73 | 0.86 | 0.61 | 0.61 |
time (sec) |
N/A | 0.036 | 0.018 | 0.428 | 0.220 | 0.250 | 0.185 | 0.264 | 0.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 24 | 25 | 29 | 24 | 23 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.96 | 1.12 | 0.92 | 0.88 | 0.88 |
time (sec) |
N/A | 0.004 | 0.006 | 0.339 | 0.221 | 0.243 | 0.131 | 0.263 | 5.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 26 | 24 | 30 | 24 | 24 | 24 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.92 | 1.15 | 0.92 | 0.92 | 0.92 |
time (sec) |
N/A | 0.022 | 0.014 | 0.605 | 0.281 | 0.264 | 0.570 | 0.269 | 5.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 47 | 46 | 27 | 48 | 54 | 51 | 45 |
N.S. |
1 | 1.00 | 0.84 | 0.82 | 0.48 | 0.86 | 0.96 | 0.91 | 0.80 |
time (sec) |
N/A | 0.036 | 0.034 | 0.413 | 0.296 | 0.248 | 1.037 | 0.266 | 5.290 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 62 | 63 | 27 | 60 | 76 | 68 | 65 |
N.S. |
1 | 1.00 | 0.77 | 0.78 | 0.33 | 0.74 | 0.94 | 0.84 | 0.80 |
time (sec) |
N/A | 0.049 | 0.025 | 0.659 | 0.292 | 0.246 | 1.774 | 0.260 | 5.148 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 248 | 467 | 0 | 265 | 746 | 390 | 337 |
N.S. |
1 | 1.00 | 0.86 | 1.62 | 0.00 | 0.92 | 2.58 | 1.35 | 1.17 |
time (sec) |
N/A | 0.234 | 0.183 | 1.191 | 0.000 | 0.272 | 1.825 | 0.294 | 6.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 138 | 272 | 0 | 163 | 398 | 263 | 204 |
N.S. |
1 | 1.00 | 0.72 | 1.42 | 0.00 | 0.85 | 2.07 | 1.37 | 1.06 |
time (sec) |
N/A | 0.155 | 0.133 | 0.966 | 0.000 | 0.255 | 0.871 | 0.300 | 5.920 |
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 | 118 | 118 | 88 | 112 | 0 | 91 | 178 | 149 | 126 |
N.S. |
1 | 1.00 | 0.75 | 0.95 | 0.00 | 0.77 | 1.51 | 1.26 | 1.07 |
time (sec) |
N/A | 0.096 | 0.073 | 0.516 | 0.000 | 0.253 | 0.439 | 0.283 | 5.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 35 | 32 | 31 | 47 | 53 | 59 | 48 |
N.S. |
1 | 1.00 | 0.97 | 0.89 | 0.86 | 1.31 | 1.47 | 1.64 | 1.33 |
time (sec) |
N/A | 0.005 | 0.015 | 0.316 | 0.227 | 0.247 | 0.229 | 0.271 | 0.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 14 | 16 | 16 | 12 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 1.14 | 1.14 | 0.86 | 1.14 | 1.14 |
time (sec) |
N/A | 0.012 | 0.410 | 0.172 | 0.332 | 0.244 | 0.973 | 0.270 | 5.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 14 | 66 | 27 | 14 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 4.71 | 1.93 | 1.00 | 1.14 | 1.14 |
time (sec) |
N/A | 0.029 | 0.591 | 0.215 | 0.344 | 0.265 | 10.097 | 0.300 | 5.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 14 | 94 | 38 | 14 | 16 | 16 |
N.S. |
1 | 1.00 | 1.14 | 1.00 | 6.71 | 2.71 | 1.00 | 1.14 | 1.14 |
time (sec) |
N/A | 0.063 | 1.489 | 0.234 | 0.320 | 0.268 | 72.581 | 0.289 | 6.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 106 | 160 | 0 | 98 | 168 | 0 | 142 |
N.S. |
1 | 1.00 | 0.60 | 0.90 | 0.00 | 0.55 | 0.94 | 0.00 | 0.80 |
time (sec) |
N/A | 0.193 | 0.034 | 0.486 | 0.000 | 0.257 | 0.541 | 0.000 | 5.657 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 90 | 116 | 0 | 81 | 117 | 0 | 101 |
N.S. |
1 | 1.00 | 0.71 | 0.92 | 0.00 | 0.64 | 0.93 | 0.00 | 0.80 |
time (sec) |
N/A | 0.118 | 0.028 | 0.306 | 0.000 | 0.255 | 0.333 | 0.000 | 5.150 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 64 | 72 | 0 | 59 | 65 | 0 | 67 |
N.S. |
1 | 1.00 | 0.90 | 1.01 | 0.00 | 0.83 | 0.92 | 0.00 | 0.94 |
time (sec) |
N/A | 0.056 | 0.031 | 0.242 | 0.000 | 0.254 | 0.182 | 0.000 | 0.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 12 | 12 | 8 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 1.20 | 1.20 | 0.80 | 1.20 | 1.20 |
time (sec) |
N/A | 0.012 | 0.022 | 0.020 | 0.251 | 0.242 | 0.988 | 0.270 | 4.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 63 | 0 | 0 | 65 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.071 | 0.024 | 0.000 | 0.000 | 0.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 97 | 0 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.116 | 0.061 | 0.000 | 0.000 | 0.247 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 133 | 0 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.030 | 0.000 | 0.000 | 0.266 | 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 | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 106 | 131 | 0 | 111 | 0 | 170 | 131 |
N.S. |
1 | 1.00 | 0.64 | 0.79 | 0.00 | 0.67 | 0.00 | 1.03 | 0.79 |
time (sec) |
N/A | 0.177 | 0.068 | 0.538 | 0.000 | 0.269 | 0.000 | 0.295 | 5.497 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 88 | 95 | 0 | 90 | 0 | 111 | 90 |
N.S. |
1 | 1.00 | 0.78 | 0.84 | 0.00 | 0.80 | 0.00 | 0.98 | 0.80 |
time (sec) |
N/A | 0.096 | 0.054 | 0.542 | 0.000 | 0.256 | 0.000 | 0.280 | 0.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 56 | 48 | 62 | 63 | 0 | 48 | 44 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 1.11 | 1.12 | 0.00 | 0.86 | 0.79 |
time (sec) |
N/A | 0.034 | 0.026 | 0.322 | 0.292 | 0.269 | 0.000 | 0.267 | 0.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 37 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 3.70 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.013 | 0.029 | 0.027 | 0.235 | 0.239 | 0.946 | 0.273 | 4.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 37 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 3.70 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.012 | 0.027 | 0.024 | 0.252 | 0.250 | 1.063 | 0.270 | 5.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 10 | 37 | 12 | 10 | 12 | 12 |
N.S. |
1 | 1.00 | 1.20 | 1.00 | 3.70 | 1.20 | 1.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.015 | 0.030 | 0.025 | 0.252 | 0.251 | 1.280 | 0.271 | 5.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 375 | 375 | 226 | 0 | 0 | 281 | 0 | 0 | 359 |
N.S. |
1 | 1.00 | 0.60 | 0.00 | 0.00 | 0.75 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.304 | 0.717 | 0.000 | 0.000 | 0.267 | 0.000 | 0.000 | 5.611 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 132 | 0 | 0 | 171 | 0 | 0 | 186 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.99 |
time (sec) |
N/A | 0.130 | 0.293 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.422 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 66 | 59 | 0 | 91 | 0 | 0 | 79 |
N.S. |
1 | 1.00 | 0.93 | 0.83 | 0.00 | 1.28 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.180 | 0.008 | 0.375 | 0.000 | 0.251 | 0.000 | 0.000 | 5.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 18 | 18 | 14 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 1.12 | 1.12 | 0.88 | 1.12 | 1.12 |
time (sec) |
N/A | 0.021 | 0.044 | 0.191 | 0.260 | 0.250 | 2.531 | 0.305 | 4.924 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 16 | 74 | 29 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 1.00 | 4.62 | 1.81 | 0.94 | 1.12 | 1.12 |
time (sec) |
N/A | 0.020 | 0.074 | 0.226 | 0.262 | 0.253 | 11.039 | 0.374 | 5.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 88 | 0 | 0 | 125 | 0 | 85 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 1.23 | 0.00 | 0.83 | 0.00 |
time (sec) |
N/A | 0.123 | 0.243 | 0.000 | 0.000 | 0.259 | 0.000 | 0.448 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 84 | 0 | 0 | 121 | 0 | 83 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.29 | 0.00 | 0.88 | 0.00 |
time (sec) |
N/A | 0.109 | 0.186 | 0.000 | 0.000 | 0.258 | 0.000 | 0.457 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 80 | 0 | 0 | 122 | 0 | 79 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 1.31 | 0.00 | 0.85 | 0.00 |
time (sec) |
N/A | 0.104 | 0.167 | 0.000 | 0.000 | 0.267 | 0.000 | 0.365 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 79 | 62 | 58 | 119 | 0 | 67 | 121 |
N.S. |
1 | 1.00 | 1.22 | 0.95 | 0.89 | 1.83 | 0.00 | 1.03 | 1.86 |
time (sec) |
N/A | 0.036 | 0.096 | 1.209 | 0.228 | 0.253 | 0.000 | 0.260 | 5.375 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 80 | 0 | 0 | 126 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.132 | 0.172 | 0.000 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 77 | 0 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.120 | 0.173 | 0.000 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 127 | 0 | 0 | 180 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.333 | 0.000 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 17 | 16 | 16 | 19 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.76 | 0.76 | 0.90 | 0.00 | 0.76 |
time (sec) |
N/A | 0.030 | 0.009 | 0.318 | 0.234 | 0.258 | 0.370 | 0.000 | 5.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 17 | 16 | 16 | 19 | 0 | 93 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.76 | 0.76 | 0.90 | 0.00 | 4.43 |
time (sec) |
N/A | 0.015 | 0.006 | 0.256 | 0.239 | 0.251 | 0.159 | 0.000 | 5.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | A | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 0 | 15 | 15 | 17 | 0 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.75 | 0.75 | 0.85 | 0.00 | 0.75 |
time (sec) |
N/A | 0.021 | 0.011 | 0.000 | 0.220 | 0.251 | 0.190 | 0.000 | 5.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 17 | 16 | 16 | 17 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.76 | 0.76 | 0.81 | 0.00 | 0.76 |
time (sec) |
N/A | 0.021 | 0.006 | 0.226 | 0.226 | 0.252 | 0.277 | 0.000 | 5.188 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 17 | 16 | 16 | 19 | 0 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.76 | 0.76 | 0.90 | 0.00 | 0.76 |
time (sec) |
N/A | 0.021 | 0.006 | 0.243 | 0.215 | 0.249 | 0.442 | 0.000 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | B | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 0 | 0 | 24 | 63 | 0 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.86 | 2.25 | 0.00 | 0.82 |
time (sec) |
N/A | 0.029 | 0.012 | 0.000 | 0.000 | 0.261 | 1.485 | 0.000 | 5.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 138 | 312 | 0 | 260 | 0 | 270 | 244 |
N.S. |
1 | 1.00 | 0.48 | 1.09 | 0.00 | 0.91 | 0.00 | 0.95 | 0.86 |
time (sec) |
N/A | 0.343 | 0.294 | 5.236 | 0.000 | 0.269 | 0.000 | 0.285 | 0.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 99 | 168 | 0 | 149 | 0 | 141 | 131 |
N.S. |
1 | 1.00 | 0.64 | 1.08 | 0.00 | 0.96 | 0.00 | 0.91 | 0.85 |
time (sec) |
N/A | 0.123 | 0.207 | 1.436 | 0.000 | 0.263 | 0.000 | 0.277 | 0.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 51 | 67 | 47 | 62 | 0 | 48 | 47 |
N.S. |
1 | 1.00 | 0.89 | 1.18 | 0.82 | 1.09 | 0.00 | 0.84 | 0.82 |
time (sec) |
N/A | 0.032 | 0.029 | 0.680 | 0.230 | 0.258 | 0.000 | 0.268 | 5.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 17 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.00 | 1.06 | 1.06 |
time (sec) |
N/A | 0.028 | 0.111 | 0.073 | 0.277 | 0.249 | 2.916 | 0.264 | 5.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.112 | 0.134 | 0.190 | 0.283 | 0.240 | 6.196 | 0.264 | 6.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.270 | 0.174 | 0.178 | 0.279 | 0.251 | 31.902 | 0.271 | 6.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.205 | 0.204 | 0.075 | 0.261 | 0.260 | 42.056 | 0.276 | 6.964 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.076 | 0.159 | 0.133 | 0.254 | 0.254 | 8.058 | 0.276 | 6.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 13 | 15 | 15 | 15 | 15 | 15 |
N.S. |
1 | 1.00 | 1.14 | 0.93 | 1.07 | 1.07 | 1.07 | 1.07 | 1.07 |
time (sec) |
N/A | 0.014 | 0.026 | 0.068 | 0.292 | 0.262 | 2.066 | 0.268 | 5.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.094 | 0.151 | 0.081 | 0.256 | 0.254 | 2.864 | 0.271 | 5.758 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 19 | 16 | 18 | 18 | 19 | 18 | 18 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.12 | 1.06 | 1.06 |
time (sec) |
N/A | 0.273 | 0.215 | 0.178 | 0.262 | 0.249 | 13.669 | 0.272 | 5.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 73 | 88 | 82 | 74 | 119 | 118 | 91 |
N.S. |
1 | 1.00 | 0.62 | 0.75 | 0.69 | 0.63 | 1.01 | 1.00 | 0.77 |
time (sec) |
N/A | 0.106 | 0.033 | 2.551 | 0.205 | 0.257 | 33.237 | 0.273 | 5.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 57 | 66 | 59 | 55 | 76 | 71 | 65 |
N.S. |
1 | 1.00 | 0.72 | 0.84 | 0.75 | 0.70 | 0.96 | 0.90 | 0.82 |
time (sec) |
N/A | 0.059 | 0.027 | 0.963 | 0.212 | 0.243 | 6.507 | 0.281 | 0.225 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 34 | 51 | 34 | 35 | 34 | 31 | 31 |
N.S. |
1 | 1.00 | 0.92 | 1.38 | 0.92 | 0.95 | 0.92 | 0.84 | 0.84 |
time (sec) |
N/A | 0.026 | 0.016 | 0.162 | 0.202 | 0.239 | 1.188 | 0.278 | 0.105 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 0 | 0 | 0 | 26 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.81 | 0.00 | 0.00 |
time (sec) |
N/A | 0.032 | 0.062 | 0.000 | 0.000 | 0.000 | 5.015 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 34 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 0.00 | 0.00 | 0.00 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.076 | 0.099 | 0.000 | 0.000 | 0.000 | 26.684 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 36 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.110 | 0.099 | 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 | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 100 | 0 | 0 | 0 | 24 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.20 | 0.00 | 0.00 |
time (sec) |
N/A | 0.099 | 0.205 | 0.000 | 0.000 | 0.000 | 171.601 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 80 | 0 | 0 | 0 | 24 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.051 | 0.148 | 0.000 | 0.000 | 0.000 | 26.636 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 0 | 0 | 0 | 0 | 22 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.000 | 0.000 | 0.000 | 0.000 | 3.808 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 74 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.70 | 0.00 | 0.00 |
time (sec) |
N/A | 0.054 | 0.146 | 0.000 | 0.000 | 0.000 | 9.923 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 100 | 0 | 0 | 0 | 24 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.00 | 0.21 | 0.00 | 0.00 |
time (sec) |
N/A | 0.089 | 0.230 | 0.000 | 0.000 | 0.000 | 75.746 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 86 | 119 | 0 | 97 | 0 | 153 | 192 |
N.S. |
1 | 1.00 | 0.64 | 0.88 | 0.00 | 0.72 | 0.00 | 1.13 | 1.42 |
time (sec) |
N/A | 0.149 | 0.052 | 2.313 | 0.000 | 0.255 | 0.000 | 0.281 | 0.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 68 | 83 | 0 | 76 | 0 | 94 | 106 |
N.S. |
1 | 1.00 | 0.76 | 0.92 | 0.00 | 0.84 | 0.00 | 1.04 | 1.18 |
time (sec) |
N/A | 0.074 | 0.035 | 0.907 | 0.000 | 0.259 | 0.000 | 0.279 | 5.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 39 | 39 | 34 | 43 | 0 | 35 | 43 |
N.S. |
1 | 1.00 | 0.91 | 0.91 | 0.79 | 1.00 | 0.00 | 0.81 | 1.00 |
time (sec) |
N/A | 0.021 | 0.013 | 0.437 | 0.296 | 0.250 | 0.000 | 0.281 | 5.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 20 | 18 | 19 | 19 | 15 | 19 | 19 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.06 | 1.06 | 0.83 | 1.06 | 1.06 |
time (sec) |
N/A | 0.021 | 0.065 | 0.063 | 0.245 | 0.237 | 1.565 | 0.273 | 5.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 20 | 18 | 19 | 19 | 17 | 19 | 19 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.06 | 1.06 | 0.94 | 1.06 | 1.06 |
time (sec) |
N/A | 0.061 | 0.106 | 0.163 | 0.214 | 0.250 | 3.513 | 0.268 | 5.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 20 | 18 | 19 | 19 | 17 | 19 | 19 |
N.S. |
1 | 1.00 | 1.11 | 1.00 | 1.06 | 1.06 | 0.94 | 1.06 | 1.06 |
time (sec) |
N/A | 0.125 | 0.113 | 0.162 | 0.230 | 0.253 | 15.338 | 0.279 | 5.971 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 85 | 0 | 0 | 74 | 109 | 0 | 90 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 0.00 | 0.66 | 0.97 | 0.00 | 0.80 |
time (sec) |
N/A | 0.093 | 0.021 | 0.000 | 0.000 | 0.247 | 6.609 | 0.000 | 5.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 56 | 0 | 0 | 52 | 60 | 0 | 80 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.83 | 0.95 | 0.00 | 1.27 |
time (sec) |
N/A | 0.042 | 0.028 | 0.000 | 0.000 | 0.242 | 1.231 | 0.000 | 5.263 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 14 | 15 | 0 | 41 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 0.83 | 0.00 | 2.28 |
time (sec) |
N/A | 0.011 | 0.005 | 0.260 | 0.187 | 0.260 | 0.305 | 0.000 | 0.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 52 | 0 | 0 | 53 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.046 | 0.012 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 85 | 0 | 0 | 84 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.096 | 0.046 | 0.000 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 342 | 342 | 240 | 0 | 0 | 267 | 0 | 288 | 386 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.78 | 0.00 | 0.84 | 1.13 |
time (sec) |
N/A | 0.375 | 3.078 | 0.000 | 0.000 | 0.261 | 0.000 | 0.280 | 6.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 82 | 139 | 84 | 100 | 0 | 87 | 89 |
N.S. |
1 | 1.00 | 0.95 | 1.62 | 0.98 | 1.16 | 0.00 | 1.01 | 1.03 |
time (sec) |
N/A | 0.050 | 0.078 | 0.840 | 0.210 | 0.254 | 0.000 | 0.276 | 0.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 19 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.00 | 1.05 | 1.05 |
time (sec) |
N/A | 0.031 | 0.148 | 0.063 | 0.259 | 0.251 | 6.242 | 0.280 | 5.531 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.356 | 0.230 | 0.197 | 0.259 | 0.260 | 26.881 | 0.275 | 5.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 0 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 0.00 | 1.05 | 1.05 |
time (sec) |
N/A | 0.720 | 0.294 | 0.089 | 0.271 | 0.250 | 0.000 | 0.275 | 6.864 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.143 | 0.263 | 0.154 | 0.261 | 0.270 | 55.207 | 0.286 | 6.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 15 | 17 | 17 | 17 | 17 | 17 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 1.06 | 1.06 | 1.06 | 1.06 | 1.06 |
time (sec) |
N/A | 0.014 | 0.030 | 0.076 | 0.258 | 0.257 | 4.935 | 0.278 | 6.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.155 | 0.259 | 0.092 | 0.258 | 0.251 | 7.612 | 0.278 | 5.710 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 |
time (sec) |
N/A | 0.640 | 0.320 | 0.213 | 0.258 | 0.250 | 81.912 | 0.280 | 5.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 62 | 67 | 0 | 66 | 0 | 0 | 52 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.00 | 1.06 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.112 | 0.091 | 1.702 | 0.000 | 0.256 | 0.000 | 0.000 | 5.001 |
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 | 69 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.055 | 0.052 | 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 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.055 | 0.050 | 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 | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.042 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.043 | 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 | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.049 | 0.032 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |