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 | 44 | 49 | 22 | 17 | 26 | 33 | 32 | 57 | 35 |
N.S. |
1 | 1.11 | 0.50 | 0.39 | 0.59 | 0.75 | 0.73 | 1.30 | 0.80 |
time (sec) |
N/A | 0.188 | 0.089 | 0.367 | 0.283 | 0.250 | 0.144 | 0.263 | 27.402 |
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 | 44 | 49 | 22 | 17 | 26 | 33 | 0 | 57 | 16 |
N.S. |
1 | 1.11 | 0.50 | 0.39 | 0.59 | 0.75 | 0.00 | 1.30 | 0.36 |
time (sec) |
N/A | 0.270 | 0.016 | 0.612 | 0.294 | 0.238 | 0.000 | 0.304 | 27.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 22 | 22 | 17 | 16 | 43 | 246 | 57 | 35 |
N.S. |
1 | 0.46 | 0.46 | 0.35 | 0.33 | 0.90 | 5.12 | 1.19 | 0.73 |
time (sec) |
N/A | 0.164 | 0.230 | 0.868 | 0.300 | 0.246 | 2.894 | 0.269 | 27.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 22 | 22 | 17 | 16 | 43 | 246 | 57 | 35 |
N.S. |
1 | 0.46 | 0.46 | 0.35 | 0.33 | 0.90 | 5.12 | 1.19 | 0.73 |
time (sec) |
N/A | 0.179 | 0.838 | 0.781 | 0.284 | 0.251 | 3.026 | 0.277 | 27.497 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 22 | 22 | 17 | 16 | 43 | 246 | 57 | 35 |
N.S. |
1 | 0.46 | 0.46 | 0.35 | 0.33 | 0.90 | 5.12 | 1.19 | 0.73 |
time (sec) |
N/A | 0.195 | 0.024 | 0.872 | 0.300 | 0.245 | 3.042 | 0.290 | 27.211 |
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 | 48 | 22 | 22 | 17 | 16 | 43 | 0 | 16 | 16 |
N.S. |
1 | 0.46 | 0.46 | 0.35 | 0.33 | 0.90 | 0.00 | 0.33 | 0.33 |
time (sec) |
N/A | 0.207 | 0.009 | 1.368 | 0.300 | 0.247 | 0.000 | 0.909 | 26.598 |
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 | 48 | 22 | 22 | 17 | 16 | 43 | 0 | 57 | 16 |
N.S. |
1 | 0.46 | 0.46 | 0.35 | 0.33 | 0.90 | 0.00 | 1.19 | 0.33 |
time (sec) |
N/A | 0.204 | 0.009 | 1.234 | 0.331 | 0.245 | 0.000 | 0.358 | 25.686 |
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 | 60 | 22 | 22 | 17 | 54 | 74 | 42 | 39 | 16 |
N.S. |
1 | 0.37 | 0.37 | 0.28 | 0.90 | 1.23 | 0.70 | 0.65 | 0.27 |
time (sec) |
N/A | 0.176 | 0.105 | 0.559 | 0.293 | 0.237 | 0.151 | 0.304 | 25.657 |
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 | 60 | 22 | 22 | 17 | 54 | 74 | 0 | 39 | 16 |
N.S. |
1 | 0.37 | 0.37 | 0.28 | 0.90 | 1.23 | 0.00 | 0.65 | 0.27 |
time (sec) |
N/A | 0.248 | 0.081 | 0.937 | 0.287 | 0.246 | 0.000 | 0.338 | 26.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 22 | 22 | 17 | 34 | 86 | 1644 | 39 | 16 |
N.S. |
1 | 0.37 | 0.37 | 0.28 | 0.57 | 1.43 | 27.40 | 0.65 | 0.27 |
time (sec) |
N/A | 0.181 | 0.438 | 0.674 | 0.295 | 0.238 | 9.466 | 0.296 | 26.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 22 | 22 | 17 | 34 | 86 | 1644 | 39 | 16 |
N.S. |
1 | 0.37 | 0.37 | 0.28 | 0.57 | 1.43 | 27.40 | 0.65 | 0.27 |
time (sec) |
N/A | 0.177 | 1.096 | 0.612 | 0.290 | 0.247 | 9.499 | 0.288 | 26.027 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 22 | 22 | 17 | 34 | 86 | 1644 | 39 | 16 |
N.S. |
1 | 0.37 | 0.37 | 0.28 | 0.57 | 1.43 | 27.40 | 0.65 | 0.27 |
time (sec) |
N/A | 0.194 | 0.019 | 0.890 | 0.303 | 0.247 | 9.243 | 0.293 | 26.700 |
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 | 60 | 22 | 22 | 17 | 34 | 86 | 0 | 39 | 16 |
N.S. |
1 | 0.37 | 0.37 | 0.28 | 0.57 | 1.43 | 0.00 | 0.65 | 0.27 |
time (sec) |
N/A | 0.204 | 0.009 | 1.248 | 0.294 | 0.244 | 0.000 | 0.936 | 26.664 |
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 | 60 | 22 | 22 | 17 | 34 | 86 | 0 | 39 | 16 |
N.S. |
1 | 0.37 | 0.37 | 0.28 | 0.57 | 1.43 | 0.00 | 0.65 | 0.27 |
time (sec) |
N/A | 0.206 | 0.025 | 1.012 | 0.293 | 0.260 | 0.000 | 0.399 | 26.282 |
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 | 42 | 47 | 22 | 18 | 27 | 31 | 34 | 57 | 36 |
N.S. |
1 | 1.12 | 0.52 | 0.43 | 0.64 | 0.74 | 0.81 | 1.36 | 0.86 |
time (sec) |
N/A | 0.195 | 0.176 | 0.520 | 0.316 | 0.241 | 0.129 | 0.266 | 26.692 |
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 | 42 | 47 | 22 | 18 | 27 | 31 | 0 | 57 | 17 |
N.S. |
1 | 1.12 | 0.52 | 0.43 | 0.64 | 0.74 | 0.00 | 1.36 | 0.40 |
time (sec) |
N/A | 0.239 | 0.027 | 0.932 | 0.306 | 0.239 | 0.000 | 0.326 | 26.817 |
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 | 48 | 22 | 22 | 18 | 17 | 43 | 76 | 57 | 36 |
N.S. |
1 | 0.46 | 0.46 | 0.38 | 0.35 | 0.90 | 1.58 | 1.19 | 0.75 |
time (sec) |
N/A | 0.167 | 0.011 | 1.273 | 0.292 | 0.250 | 0.282 | 0.267 | 26.949 |
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 | 48 | 22 | 22 | 18 | 17 | 43 | 76 | 57 | 36 |
N.S. |
1 | 0.46 | 0.46 | 0.38 | 0.35 | 0.90 | 1.58 | 1.19 | 0.75 |
time (sec) |
N/A | 0.177 | 0.488 | 1.238 | 0.319 | 0.244 | 0.263 | 0.273 | 27.455 |
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 | 48 | 22 | 22 | 18 | 17 | 43 | 76 | 57 | 36 |
N.S. |
1 | 0.46 | 0.46 | 0.38 | 0.35 | 0.90 | 1.58 | 1.19 | 0.75 |
time (sec) |
N/A | 0.193 | 0.014 | 1.428 | 0.309 | 0.253 | 0.310 | 0.278 | 26.477 |
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 | 48 | 22 | 22 | 18 | 17 | 43 | 0 | 17 | 17 |
N.S. |
1 | 0.46 | 0.46 | 0.38 | 0.35 | 0.90 | 0.00 | 0.35 | 0.35 |
time (sec) |
N/A | 0.198 | 0.025 | 1.153 | 0.301 | 0.261 | 0.000 | 0.772 | 26.893 |
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 | 48 | 22 | 22 | 18 | 17 | 43 | 0 | 57 | 17 |
N.S. |
1 | 0.46 | 0.46 | 0.38 | 0.35 | 0.90 | 0.00 | 1.19 | 0.35 |
time (sec) |
N/A | 0.206 | 0.017 | 1.010 | 0.297 | 0.246 | 0.000 | 0.390 | 27.368 |
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 | 61 | 22 | 22 | 18 | 53 | 74 | 39 | 39 | 17 |
N.S. |
1 | 0.36 | 0.36 | 0.30 | 0.87 | 1.21 | 0.64 | 0.64 | 0.28 |
time (sec) |
N/A | 0.175 | 0.114 | 0.478 | 0.292 | 0.248 | 0.153 | 0.280 | 28.127 |
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 | 61 | 22 | 22 | 18 | 53 | 74 | 0 | 39 | 17 |
N.S. |
1 | 0.36 | 0.36 | 0.30 | 0.87 | 1.21 | 0.00 | 0.64 | 0.28 |
time (sec) |
N/A | 0.239 | 0.017 | 0.912 | 0.285 | 0.249 | 0.000 | 0.327 | 28.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 22 | 22 | 18 | 32 | 85 | 1481 | 39 | 17 |
N.S. |
1 | 0.36 | 0.36 | 0.30 | 0.52 | 1.39 | 24.28 | 0.64 | 0.28 |
time (sec) |
N/A | 0.177 | 1.214 | 0.607 | 0.297 | 0.245 | 7.832 | 0.295 | 27.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 22 | 22 | 18 | 32 | 85 | 1481 | 39 | 17 |
N.S. |
1 | 0.36 | 0.36 | 0.30 | 0.52 | 1.39 | 24.28 | 0.64 | 0.28 |
time (sec) |
N/A | 0.177 | 0.563 | 0.597 | 0.294 | 0.253 | 7.951 | 0.284 | 27.786 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 22 | 22 | 18 | 32 | 85 | 1481 | 39 | 17 |
N.S. |
1 | 0.36 | 0.36 | 0.30 | 0.52 | 1.39 | 24.28 | 0.64 | 0.28 |
time (sec) |
N/A | 0.196 | 0.024 | 0.865 | 0.303 | 0.243 | 7.917 | 0.297 | 27.873 |
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 | 61 | 22 | 22 | 18 | 32 | 85 | 0 | 37 | 17 |
N.S. |
1 | 0.36 | 0.36 | 0.30 | 0.52 | 1.39 | 0.00 | 0.61 | 0.28 |
time (sec) |
N/A | 0.201 | 0.009 | 1.207 | 0.294 | 0.271 | 0.000 | 0.791 | 28.687 |
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 | 61 | 22 | 22 | 18 | 32 | 85 | 0 | 39 | 17 |
N.S. |
1 | 0.36 | 0.36 | 0.30 | 0.52 | 1.39 | 0.00 | 0.64 | 0.28 |
time (sec) |
N/A | 0.205 | 0.020 | 1.079 | 0.294 | 0.239 | 0.000 | 0.419 | 28.103 |
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 | 30 | 30 | 30 | 25 | 24 | 22 | 41 | 24 | 24 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.80 | 0.73 | 1.37 | 0.80 | 0.80 |
time (sec) |
N/A | 0.198 | 0.050 | 0.464 | 0.208 | 0.253 | 0.068 | 0.253 | 0.108 |
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 | 48 | 47 | 48 | 46 | 85 | 46 | 46 |
N.S. |
1 | 1.00 | 0.86 | 0.84 | 0.86 | 0.82 | 1.52 | 0.82 | 0.82 |
time (sec) |
N/A | 0.239 | 0.063 | 1.517 | 0.211 | 0.249 | 0.095 | 0.259 | 28.848 |
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 | 213 | 163 | 233 | 0 | 187 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.09 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.634 | 0.819 | 1.136 | 0.000 | 0.251 | 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 | 271 | 271 | 245 | 328 | 0 | 434 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.21 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.905 | 1.650 | 1.671 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 9 | 8 | 8 | 10 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.80 | 0.80 | 1.00 | 0.80 | 0.80 |
time (sec) |
N/A | 0.194 | 0.033 | 0.562 | 0.203 | 0.249 | 0.107 | 0.258 | 26.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 46 | 72 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.64 | 2.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.593 | 0.692 | 0.685 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 26 | 12 | 17 | 22 | 10 | 11 | 11 |
N.S. |
1 | 1.00 | 2.17 | 1.00 | 1.42 | 1.83 | 0.83 | 0.92 | 0.92 |
time (sec) |
N/A | 0.189 | 0.045 | 0.439 | 0.209 | 0.233 | 0.642 | 0.268 | 28.698 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 324 | 142 | 0 | 104 | 0 | 630 | 0 |
N.S. |
1 | 1.08 | 3.24 | 1.42 | 0.00 | 1.04 | 0.00 | 6.30 | 0.00 |
time (sec) |
N/A | 0.545 | 0.801 | 1.467 | 0.000 | 0.249 | 0.000 | 3.572 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 115 | 495 | 195 | 0 | 113 | 0 | 681 | 0 |
N.S. |
1 | 1.07 | 4.63 | 1.82 | 0.00 | 1.06 | 0.00 | 6.36 | 0.00 |
time (sec) |
N/A | 0.581 | 3.916 | 1.494 | 0.000 | 0.265 | 0.000 | 25.070 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 180 | 692 | 295 | 0 | 212 | 0 | 1239 | 0 |
N.S. |
1 | 0.93 | 3.57 | 1.52 | 0.00 | 1.09 | 0.00 | 6.39 | 0.00 |
time (sec) |
N/A | 0.482 | 7.776 | 1.733 | 0.000 | 0.285 | 0.000 | 66.416 | 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 | 58 | 57 | 53 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 0.356 | 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 | 58 | 57 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 0.221 | 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 | 26 | 26 | 26 | 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 | 0.256 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 34 | 34 | 36 | 32 | 35 | 34 | 48 | 34 | 35 |
N.S. |
1 | 1.00 | 1.06 | 0.94 | 1.03 | 1.00 | 1.41 | 1.00 | 1.03 |
time (sec) |
N/A | 0.264 | 3.594 | 0.678 | 0.378 | 0.261 | 10.182 | 0.349 | 28.516 |
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 | 36 | 36 | 38 | 32 | 696 | 45 | 51 | 34 | 35 |
N.S. |
1 | 1.00 | 1.06 | 0.89 | 19.33 | 1.25 | 1.42 | 0.94 | 0.97 |
time (sec) |
N/A | 0.295 | 20.517 | 0.678 | 0.456 | 0.244 | 36.783 | 0.362 | 28.717 |
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 | 30 | 30 | 26 | 25 | 24 | 23 | 41 | 24 | 24 |
N.S. |
1 | 1.00 | 0.87 | 0.83 | 0.80 | 0.77 | 1.37 | 0.80 | 0.80 |
time (sec) |
N/A | 0.202 | 0.051 | 0.480 | 0.220 | 0.240 | 0.065 | 0.273 | 28.912 |
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 | 51 | 48 | 46 | 44 | 85 | 46 | 48 |
N.S. |
1 | 1.00 | 0.91 | 0.86 | 0.82 | 0.79 | 1.52 | 0.82 | 0.86 |
time (sec) |
N/A | 0.244 | 0.075 | 1.471 | 0.209 | 0.248 | 0.092 | 0.272 | 0.110 |
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 | 213 | 164 | 231 | 0 | 189 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.08 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.530 | 0.538 | 1.093 | 0.000 | 0.259 | 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 | 271 | 271 | 243 | 326 | 0 | 436 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.20 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.831 | 0.669 | 1.740 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 27 | 10 | 9 | 8 | 8 | 8 | 8 | 8 |
N.S. |
1 | 2.70 | 1.00 | 0.90 | 0.80 | 0.80 | 0.80 | 0.80 | 0.80 |
time (sec) |
N/A | 0.326 | 0.034 | 0.522 | 0.207 | 0.245 | 0.142 | 0.264 | 25.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 38 | 22 | 18 | 17 | 37 | 20 | 17 | 15 |
N.S. |
1 | 1.73 | 1.00 | 0.82 | 0.77 | 1.68 | 0.91 | 0.77 | 0.68 |
time (sec) |
N/A | 0.380 | 0.054 | 0.572 | 0.298 | 0.235 | 0.203 | 0.262 | 26.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 36 | 20 | 16 | 16 | 15 | 15 | 19 | 16 |
N.S. |
1 | 1.50 | 0.83 | 0.67 | 0.67 | 0.62 | 0.62 | 0.79 | 0.67 |
time (sec) |
N/A | 0.635 | 0.721 | 4.674 | 0.203 | 0.237 | 1.979 | 0.267 | 26.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 108 | 319 | 142 | 0 | 105 | 0 | 633 | 0 |
N.S. |
1 | 1.07 | 3.16 | 1.41 | 0.00 | 1.04 | 0.00 | 6.27 | 0.00 |
time (sec) |
N/A | 0.564 | 0.789 | 1.540 | 0.000 | 0.242 | 0.000 | 5.257 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 114 | 497 | 195 | 0 | 109 | 0 | 683 | 0 |
N.S. |
1 | 1.07 | 4.64 | 1.82 | 0.00 | 1.02 | 0.00 | 6.38 | 0.00 |
time (sec) |
N/A | 0.582 | 3.567 | 1.655 | 0.000 | 0.247 | 0.000 | 26.794 | 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 | 58 | 57 | 53 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 0.026 | 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 | 58 | 57 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 0.032 | 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 | 26 | 26 | 26 | 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 | 0.255 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 34 | 34 | 36 | 32 | 35 | 34 | 48 | 34 | 35 |
N.S. |
1 | 1.00 | 1.06 | 0.94 | 1.03 | 1.00 | 1.41 | 1.00 | 1.03 |
time (sec) |
N/A | 0.264 | 3.261 | 0.562 | 0.475 | 0.249 | 6.662 | 0.369 | 26.471 |
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 | 36 | 36 | 38 | 32 | 420 | 34 | 51 | 34 | 35 |
N.S. |
1 | 1.00 | 1.06 | 0.89 | 11.67 | 0.94 | 1.42 | 0.94 | 0.97 |
time (sec) |
N/A | 0.296 | 13.936 | 0.688 | 0.430 | 0.252 | 21.289 | 0.347 | 25.939 |
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 | 9 | 9 | 9 | 8 | 7 | 13 | 10 | 8 | 19 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.78 | 1.44 | 1.11 | 0.89 | 2.11 |
time (sec) |
N/A | 0.179 | 0.015 | 0.090 | 0.223 | 0.252 | 0.077 | 0.269 | 27.295 |
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 | 16 | 16 | 18 | 15 | 12 | 12 | 14 | 12 | 20 |
N.S. |
1 | 1.00 | 1.12 | 0.94 | 0.75 | 0.75 | 0.88 | 0.75 | 1.25 |
time (sec) |
N/A | 0.190 | 0.029 | 0.364 | 0.290 | 0.246 | 0.079 | 0.276 | 26.939 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 70 | 90 | 70 | 0 | 80 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 1.00 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.415 | 0.020 | 0.000 | 0.302 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 18 | 18 | 83 | 23 | 0 | 18 | 21 |
N.S. |
1 | 1.00 | 0.95 | 0.95 | 4.37 | 1.21 | 0.00 | 0.95 | 1.11 |
time (sec) |
N/A | 0.156 | 1.152 | 0.923 | 0.293 | 0.243 | 0.000 | 4.002 | 28.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 18 | 26 | 16 | 14 | 28 | 15 | 22 | 20 |
N.S. |
1 | 1.12 | 1.62 | 1.00 | 0.88 | 1.75 | 0.94 | 1.38 | 1.25 |
time (sec) |
N/A | 0.198 | 0.089 | 0.359 | 0.294 | 0.248 | 0.077 | 0.294 | 28.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 85 | 120 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.393 | 2.759 | 8.656 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 33 | 35 | 43 | 6257 | 72 | 0 | 66 | 29 |
N.S. |
1 | 0.94 | 1.00 | 1.23 | 178.77 | 2.06 | 0.00 | 1.89 | 0.83 |
time (sec) |
N/A | 0.208 | 0.034 | 1.219 | 84.817 | 0.265 | 0.000 | 0.277 | 0.115 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 33 | 35 | 43 | 6257 | 72 | 0 | 66 | 29 |
N.S. |
1 | 0.94 | 1.00 | 1.23 | 178.77 | 2.06 | 0.00 | 1.89 | 0.83 |
time (sec) |
N/A | 0.216 | 0.003 | 0.872 | 84.357 | 0.256 | 0.000 | 0.280 | 0.003 |
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 | 15 | 15 | 15 | 12 | 11 | 10 | 20 | 6 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.67 | 1.33 | 0.40 | 0.40 |
time (sec) |
N/A | 0.164 | 0.025 | 0.576 | 0.213 | 0.226 | 0.124 | 0.259 | 0.041 |
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 | 17 | 17 | 17 | 14 | 13 | 13 | 20 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.76 | 1.18 | 0.76 | 0.76 |
time (sec) |
N/A | 0.165 | 0.009 | 0.757 | 0.186 | 0.235 | 0.128 | 0.265 | 0.037 |
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 | 17 | 17 | 17 | 14 | 13 | 18 | 20 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 0.76 | 1.06 | 1.18 | 0.76 | 0.76 |
time (sec) |
N/A | 0.164 | 0.024 | 0.852 | 0.192 | 0.242 | 0.123 | 0.264 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 25 | 28 | 28 | 26 | 78 | 29 | 64 |
N.S. |
1 | 1.00 | 0.71 | 0.80 | 0.80 | 0.74 | 2.23 | 0.83 | 1.83 |
time (sec) |
N/A | 0.186 | 0.041 | 0.697 | 0.195 | 0.249 | 0.252 | 0.256 | 26.429 |
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 | 15 | 15 | 15 | 12 | 11 | 9 | 20 | 11 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.60 | 1.33 | 0.73 | 0.60 |
time (sec) |
N/A | 0.162 | 0.024 | 0.603 | 0.190 | 0.236 | 0.126 | 0.260 | 0.027 |
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 | 17 | 17 | 17 | 14 | 13 | 13 | 20 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.76 | 1.18 | 0.76 | 0.76 |
time (sec) |
N/A | 0.167 | 0.007 | 0.773 | 0.184 | 0.246 | 0.127 | 0.265 | 0.028 |
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 | 17 | 17 | 17 | 14 | 13 | 17 | 20 | 13 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 0.76 | 1.00 | 1.18 | 0.76 | 1.00 |
time (sec) |
N/A | 0.165 | 0.025 | 0.783 | 0.204 | 0.246 | 0.131 | 0.267 | 0.037 |
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 | 35 | 35 | 24 | 28 | 28 | 24 | 37 | 29 | 55 |
N.S. |
1 | 1.00 | 0.69 | 0.80 | 0.80 | 0.69 | 1.06 | 0.83 | 1.57 |
time (sec) |
N/A | 0.187 | 0.036 | 0.677 | 0.197 | 0.242 | 0.261 | 0.264 | 26.462 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 27 | 20 | 18 | 141 | 38 | 0 | 0 | 17 |
N.S. |
1 | 1.35 | 1.00 | 0.90 | 7.05 | 1.90 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.186 | 0.016 | 0.715 | 0.287 | 0.250 | 0.000 | 0.000 | 25.638 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 57 | 21 | 38 | 0 | 39 | 0 | 364 | 26 |
N.S. |
1 | 1.21 | 0.45 | 0.81 | 0.00 | 0.83 | 0.00 | 7.74 | 0.55 |
time (sec) |
N/A | 0.270 | 0.029 | 0.999 | 0.000 | 0.243 | 0.000 | 0.349 | 26.009 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 80 | 69 | 55 | 0 | 101 | 0 | 0 | 103 |
N.S. |
1 | 1.13 | 0.97 | 0.77 | 0.00 | 1.42 | 0.00 | 0.00 | 1.45 |
time (sec) |
N/A | 0.274 | 0.062 | 1.206 | 0.000 | 0.251 | 0.000 | 0.000 | 25.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 100 | 236 | 0 | 136 | 0 | 0 | 107 |
N.S. |
1 | 1.00 | 0.89 | 2.11 | 0.00 | 1.21 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.389 | 0.125 | 0.842 | 0.000 | 0.268 | 0.000 | 0.000 | 26.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 93 | 84 | 103 | 0 | 134 | 0 | 0 | 131 |
N.S. |
1 | 1.04 | 0.94 | 1.16 | 0.00 | 1.51 | 0.00 | 0.00 | 1.47 |
time (sec) |
N/A | 0.355 | 0.108 | 0.793 | 0.000 | 0.275 | 0.000 | 0.000 | 27.666 |
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 | 105 | 105 | 200 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.259 | 0.121 | 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 | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 14 | 10 | 12 | 37 | 19 | 19 | 19 | 10 |
N.S. |
1 | 1.40 | 1.00 | 1.20 | 3.70 | 1.90 | 1.90 | 1.90 | 1.00 |
time (sec) |
N/A | 0.188 | 0.009 | 0.269 | 0.298 | 0.251 | 0.362 | 0.256 | 25.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 17 | 127 | 36 | 0 | 34 | 16 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 6.35 | 1.80 | 0.00 | 1.70 | 0.80 |
time (sec) |
N/A | 0.186 | 0.015 | 0.358 | 0.303 | 0.244 | 0.000 | 0.273 | 26.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 30 | 28 | 88 | 173 | 52 | 0 | 50 | 29 |
N.S. |
1 | 1.07 | 1.00 | 3.14 | 6.18 | 1.86 | 0.00 | 1.79 | 1.04 |
time (sec) |
N/A | 0.249 | 0.026 | 0.384 | 0.292 | 0.253 | 0.000 | 0.263 | 25.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 76 | 55 | 0 | 127 | 0 | 111 | 119 |
N.S. |
1 | 1.00 | 0.93 | 0.67 | 0.00 | 1.55 | 0.00 | 1.35 | 1.45 |
time (sec) |
N/A | 0.356 | 0.203 | 0.448 | 0.000 | 0.265 | 0.000 | 0.361 | 26.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 42 | 38 | 124 | 0 | 70 | 0 | 70 | 37 |
N.S. |
1 | 1.11 | 1.00 | 3.26 | 0.00 | 1.84 | 0.00 | 1.84 | 0.97 |
time (sec) |
N/A | 0.279 | 0.046 | 0.420 | 0.000 | 0.261 | 0.000 | 0.273 | 28.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 35 | 13 | 129 | 33 | 0 | 49 | 12 |
N.S. |
1 | 1.00 | 2.33 | 0.87 | 8.60 | 2.20 | 0.00 | 3.27 | 0.80 |
time (sec) |
N/A | 0.180 | 0.063 | 1.574 | 0.281 | 0.242 | 0.000 | 0.281 | 0.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 27 | 17 | 18 | 81 | 19 | 0 | 24 | 15 |
N.S. |
1 | 1.29 | 0.81 | 0.86 | 3.86 | 0.90 | 0.00 | 1.14 | 0.71 |
time (sec) |
N/A | 0.186 | 0.009 | 1.549 | 0.279 | 0.250 | 0.000 | 0.263 | 27.299 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 4814 | 47 | 0 | 121 | 0 | 133 | 112 |
N.S. |
1 | 1.00 | 67.80 | 0.66 | 0.00 | 1.70 | 0.00 | 1.87 | 1.58 |
time (sec) |
N/A | 0.231 | 52.974 | 1.747 | 0.000 | 0.270 | 0.000 | 0.268 | 27.294 |
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 | 62 | 80 | 57 | 43 | 0 | 72 | 0 | 67 | 47 |
N.S. |
1 | 1.29 | 0.92 | 0.69 | 0.00 | 1.16 | 0.00 | 1.08 | 0.76 |
time (sec) |
N/A | 0.294 | 0.581 | 2.086 | 0.000 | 0.288 | 0.000 | 0.276 | 0.668 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 627 | 80 | 0 | 153 | 0 | 182 | 118 |
N.S. |
1 | 1.00 | 7.38 | 0.94 | 0.00 | 1.80 | 0.00 | 2.14 | 1.39 |
time (sec) |
N/A | 0.276 | 7.333 | 1.830 | 0.000 | 0.277 | 0.000 | 0.280 | 27.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 7 | 7 | 7 | 9 | 35 | 17 | 15 | 17 | 5 |
N.S. |
1 | 1.00 | 1.00 | 1.29 | 5.00 | 2.43 | 2.14 | 2.43 | 0.71 |
time (sec) |
N/A | 0.193 | 0.002 | 0.293 | 0.300 | 0.238 | 0.404 | 0.264 | 26.990 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 15 | 15 | 14 | 125 | 58 | 76 | 31 | 17 |
N.S. |
1 | 0.33 | 0.33 | 0.31 | 2.78 | 1.29 | 1.69 | 0.69 | 0.38 |
time (sec) |
N/A | 0.186 | 0.048 | 0.618 | 0.327 | 0.262 | 0.803 | 0.281 | 28.315 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 28 | 171 | 50 | 294 | 48 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 6.58 | 1.92 | 11.31 | 1.85 | 1.04 |
time (sec) |
N/A | 0.200 | 0.040 | 0.683 | 0.300 | 0.257 | 3.423 | 0.271 | 27.584 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 87 | 84 | 42 | 0 | 231 | 0 | 105 | 217 |
N.S. |
1 | 0.53 | 0.51 | 0.25 | 0.00 | 1.40 | 0.00 | 0.64 | 1.32 |
time (sec) |
N/A | 0.263 | 0.166 | 0.852 | 0.000 | 0.284 | 0.000 | 0.345 | 27.981 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 38 | 30 | 47 | 0 | 68 | 0 | 68 | 35 |
N.S. |
1 | 1.06 | 0.83 | 1.31 | 0.00 | 1.89 | 0.00 | 1.89 | 0.97 |
time (sec) |
N/A | 0.239 | 0.040 | 0.721 | 0.000 | 0.273 | 0.000 | 0.275 | 28.125 |
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 | 8 | 16 | 6 | 7 | 6 | 8 | 5 | 6 | 6 |
N.S. |
1 | 2.00 | 0.75 | 0.88 | 0.75 | 1.00 | 0.62 | 0.75 | 0.75 |
time (sec) |
N/A | 0.191 | 0.025 | 0.387 | 0.197 | 0.245 | 0.380 | 0.269 | 28.014 |
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 | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 6 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 0.75 | 0.75 |
time (sec) |
N/A | 0.192 | 0.005 | 0.290 | 0.198 | 0.255 | 1.272 | 0.277 | 0.030 |
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 | 15 | 15 | 15 | 12 | 11 | 6 | 22 | 6 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.40 | 1.47 | 0.40 | 0.40 |
time (sec) |
N/A | 0.166 | 0.007 | 0.390 | 0.200 | 0.241 | 0.127 | 0.266 | 0.029 |
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 | 17 | 17 | 17 | 14 | 13 | 13 | 22 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.76 | 1.29 | 0.76 | 0.76 |
time (sec) |
N/A | 0.164 | 0.007 | 0.487 | 0.210 | 0.251 | 0.128 | 0.272 | 0.034 |
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 | 17 | 17 | 17 | 14 | 13 | 13 | 22 | 13 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.76 | 1.29 | 0.76 | 0.82 |
time (sec) |
N/A | 0.165 | 0.007 | 0.471 | 0.199 | 0.240 | 0.128 | 0.257 | 0.034 |
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 | 35 | 35 | 26 | 28 | 27 | 25 | 44 | 29 | 57 |
N.S. |
1 | 1.00 | 0.74 | 0.80 | 0.77 | 0.71 | 1.26 | 0.83 | 1.63 |
time (sec) |
N/A | 0.187 | 0.038 | 0.410 | 0.199 | 0.254 | 0.274 | 0.261 | 27.347 |