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 | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 157 | 120 | 99 | 0 | 86 | 0 | 329 | 0 |
N.S. |
1 | 1.10 | 0.84 | 0.69 | 0.00 | 0.60 | 0.00 | 2.30 | 0.00 |
time (sec) |
N/A | 0.317 | 0.180 | 0.395 | 0.000 | 0.263 | 0.000 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 147 | 103 | 97 | 174 | 94 | 167 | 83 | 0 |
N.S. |
1 | 1.30 | 0.91 | 0.86 | 1.54 | 0.83 | 1.48 | 0.73 | 0.00 |
time (sec) |
N/A | 0.283 | 0.250 | 0.379 | 0.286 | 0.351 | 1.166 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 246 | 147 | 141 | 246 | 139 | 427 | 132 | 0 |
N.S. |
1 | 1.22 | 0.73 | 0.70 | 1.22 | 0.69 | 2.12 | 0.66 | 0.00 |
time (sec) |
N/A | 0.393 | 0.419 | 0.404 | 0.294 | 0.288 | 1.470 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 211 | 136 | 130 | 221 | 127 | 400 | 120 | 0 |
N.S. |
1 | 1.23 | 0.79 | 0.76 | 1.28 | 0.74 | 2.33 | 0.70 | 0.00 |
time (sec) |
N/A | 0.337 | 0.369 | 0.355 | 0.300 | 0.296 | 1.375 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 176 | 125 | 119 | 198 | 117 | 371 | 107 | 0 |
N.S. |
1 | 1.26 | 0.89 | 0.85 | 1.41 | 0.84 | 2.65 | 0.76 | 0.00 |
time (sec) |
N/A | 0.305 | 0.345 | 0.387 | 0.289 | 0.332 | 1.421 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 140 | 114 | 108 | 176 | 105 | 343 | 96 | 0 |
N.S. |
1 | 1.21 | 0.98 | 0.93 | 1.52 | 0.91 | 2.96 | 0.83 | 0.00 |
time (sec) |
N/A | 0.245 | 0.319 | 0.393 | 0.312 | 0.318 | 1.416 | 0.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 107 | 111 | 94 | 109 | 95 | 313 | 80 | 0 |
N.S. |
1 | 1.07 | 1.11 | 0.94 | 1.09 | 0.95 | 3.13 | 0.80 | 0.00 |
time (sec) |
N/A | 0.202 | 0.226 | 0.382 | 0.291 | 0.292 | 1.301 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 118 | 142 | 297 | 137 | 107 | 400 | 114 | 0 |
N.S. |
1 | 1.04 | 1.26 | 2.63 | 1.21 | 0.95 | 3.54 | 1.01 | 0.00 |
time (sec) |
N/A | 0.277 | 0.351 | 0.436 | 0.280 | 0.262 | 5.771 | 0.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 140 | 164 | 145 | 123 | 389 | 177 | 0 |
N.S. |
1 | 1.00 | 1.22 | 1.43 | 1.26 | 1.07 | 3.38 | 1.54 | 0.00 |
time (sec) |
N/A | 0.301 | 0.356 | 0.413 | 0.288 | 0.291 | 3.157 | 0.304 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 111 | 149 | 150 | 150 | 135 | 444 | 245 | 0 |
N.S. |
1 | 0.92 | 1.23 | 1.24 | 1.24 | 1.12 | 3.67 | 2.02 | 0.00 |
time (sec) |
N/A | 0.290 | 0.362 | 0.411 | 0.283 | 0.276 | 3.856 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 118 | 146 | 136 | 144 | 130 | 457 | 284 | 0 |
N.S. |
1 | 0.98 | 1.22 | 1.13 | 1.20 | 1.08 | 3.81 | 2.37 | 0.00 |
time (sec) |
N/A | 0.290 | 0.389 | 0.435 | 0.284 | 0.279 | 4.118 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 124 | 151 | 126 | 171 | 119 | 541 | 328 | 0 |
N.S. |
1 | 1.04 | 1.27 | 1.06 | 1.44 | 1.00 | 4.55 | 2.76 | 0.00 |
time (sec) |
N/A | 0.292 | 0.324 | 0.458 | 0.273 | 0.271 | 5.160 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 113 | 122 | 107 | 153 | 97 | 774 | 388 | 0 |
N.S. |
1 | 1.05 | 1.13 | 0.99 | 1.42 | 0.90 | 7.17 | 3.59 | 0.00 |
time (sec) |
N/A | 0.231 | 0.365 | 0.465 | 0.277 | 0.268 | 5.043 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 148 | 142 | 121 | 178 | 108 | 918 | 463 | 0 |
N.S. |
1 | 1.03 | 0.99 | 0.85 | 1.24 | 0.76 | 6.42 | 3.24 | 0.00 |
time (sec) |
N/A | 0.267 | 0.358 | 0.542 | 0.284 | 0.311 | 9.032 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 183 | 153 | 132 | 203 | 119 | 1037 | 518 | 0 |
N.S. |
1 | 1.06 | 0.89 | 0.77 | 1.18 | 0.69 | 6.03 | 3.01 | 0.00 |
time (sec) |
N/A | 0.317 | 0.415 | 0.572 | 0.280 | 0.277 | 9.722 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 218 | 164 | 143 | 228 | 130 | 1159 | 463 | 0 |
N.S. |
1 | 1.08 | 0.82 | 0.71 | 1.13 | 0.65 | 5.77 | 2.30 | 0.00 |
time (sec) |
N/A | 0.349 | 0.398 | 0.632 | 0.287 | 0.303 | 26.641 | 0.300 | 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 | 27 | 36 | 37 | 25 | 28 | 31 | 29 | 19 | 20 |
N.S. |
1 | 1.33 | 1.37 | 0.93 | 1.04 | 1.15 | 1.07 | 0.70 | 0.74 |
time (sec) |
N/A | 0.163 | 0.083 | 0.353 | 0.281 | 0.256 | 1.112 | 0.284 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 73 | 87 | 68 | 74 | 170 | 125 | 74 |
N.S. |
1 | 1.00 | 1.43 | 1.71 | 1.33 | 1.45 | 3.33 | 2.45 | 1.45 |
time (sec) |
N/A | 0.224 | 0.134 | 0.371 | 0.275 | 0.271 | 2.683 | 0.289 | 0.050 |
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 | 118 | 153 | 100 | 120 | 113 | 112 | 0 | 108 | 0 |
N.S. |
1 | 1.30 | 0.85 | 1.02 | 0.96 | 0.95 | 0.00 | 0.92 | 0.00 |
time (sec) |
N/A | 0.391 | 0.262 | 0.355 | 0.283 | 0.268 | 0.000 | 0.308 | 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 | 91 | 110 | 89 | 108 | 86 | 101 | 0 | 96 | 0 |
N.S. |
1 | 1.21 | 0.98 | 1.19 | 0.95 | 1.11 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.298 | 0.249 | 0.417 | 0.292 | 0.263 | 0.000 | 0.287 | 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 | 77 | 81 | 74 | 97 | 63 | 85 | 0 | 83 | 0 |
N.S. |
1 | 1.05 | 0.96 | 1.26 | 0.82 | 1.10 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.213 | 0.198 | 0.386 | 0.286 | 0.266 | 0.000 | 0.305 | 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 | 52 | 52 | 65 | 74 | 40 | 67 | 0 | 61 | 0 |
N.S. |
1 | 1.00 | 1.25 | 1.42 | 0.77 | 1.29 | 0.00 | 1.17 | 0.00 |
time (sec) |
N/A | 0.190 | 0.159 | 0.397 | 0.282 | 0.262 | 0.000 | 0.296 | 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 | 31 | 31 | 31 | 29 | 30 | 35 | 0 | 41 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.97 | 1.13 | 0.00 | 1.32 | 0.94 |
time (sec) |
N/A | 0.152 | 0.004 | 0.396 | 0.273 | 0.258 | 0.000 | 0.280 | 11.555 |
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 | 54 | 54 | 76 | 88 | 0 | 62 | 0 | 87 | 0 |
N.S. |
1 | 1.00 | 1.41 | 1.63 | 0.00 | 1.15 | 0.00 | 1.61 | 0.00 |
time (sec) |
N/A | 0.200 | 0.176 | 0.398 | 0.000 | 0.268 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 85 | 88 | 108 | 0 | 88 | 0 | 177 | 0 |
N.S. |
1 | 1.05 | 1.09 | 1.33 | 0.00 | 1.09 | 0.00 | 2.19 | 0.00 |
time (sec) |
N/A | 0.250 | 0.216 | 0.387 | 0.000 | 0.412 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 117 | 107 | 117 | 0 | 113 | 0 | 256 | 0 |
N.S. |
1 | 1.04 | 0.95 | 1.04 | 0.00 | 1.00 | 0.00 | 2.27 | 0.00 |
time (sec) |
N/A | 0.356 | 0.236 | 0.414 | 0.000 | 0.257 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 163 | 120 | 202 | 151 | 190 | 0 | 0 | 0 |
N.S. |
1 | 1.27 | 0.94 | 1.58 | 1.18 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.370 | 0.348 | 0.408 | 0.290 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 125 | 105 | 186 | 124 | 175 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.93 | 1.65 | 1.10 | 1.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 0.312 | 0.408 | 0.291 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 95 | 92 | 204 | 99 | 157 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.03 | 2.29 | 1.11 | 1.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 0.272 | 0.381 | 0.287 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 60 | 48 | 86 | 103 | 0 | 0 | 56 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 1.43 | 1.72 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.180 | 0.215 | 0.376 | 0.203 | 0.259 | 0.000 | 0.000 | 12.312 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 52 | 56 | 44 | 67 | 101 | 0 | 0 | 52 |
N.S. |
1 | 0.90 | 0.97 | 0.76 | 1.16 | 1.74 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.172 | 0.192 | 0.387 | 0.210 | 0.284 | 0.000 | 0.000 | 12.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 60 | 46 | 65 | 102 | 0 | 0 | 56 |
N.S. |
1 | 1.00 | 1.03 | 0.79 | 1.12 | 1.76 | 0.00 | 0.00 | 0.97 |
time (sec) |
N/A | 0.164 | 0.221 | 0.379 | 0.200 | 0.336 | 0.000 | 0.000 | 11.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 93 | 106 | 171 | 0 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.20 | 1.94 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.301 | 0.374 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 128 | 124 | 198 | 0 | 181 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.03 | 1.65 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.308 | 0.400 | 0.000 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 164 | 138 | 206 | 0 | 201 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.91 | 1.36 | 0.00 | 1.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 0.335 | 0.400 | 0.000 | 0.287 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 207 | 140 | 295 | 289 | 274 | 0 | 0 | 0 |
N.S. |
1 | 1.28 | 0.86 | 1.82 | 1.78 | 1.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.521 | 0.553 | 0.444 | 0.297 | 0.324 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 172 | 130 | 281 | 259 | 258 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.88 | 1.90 | 1.75 | 1.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.387 | 0.468 | 0.427 | 0.310 | 0.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 144 | 115 | 450 | 234 | 241 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.94 | 3.69 | 1.92 | 1.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 0.417 | 0.392 | 0.320 | 0.337 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 92 | 82 | 70 | 134 | 168 | 0 | 0 | 78 |
N.S. |
1 | 1.08 | 0.96 | 0.82 | 1.58 | 1.98 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.228 | 0.312 | 0.432 | 0.213 | 0.275 | 0.000 | 0.000 | 11.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 97 | 82 | 70 | 110 | 171 | 0 | 0 | 78 |
N.S. |
1 | 1.07 | 0.90 | 0.77 | 1.21 | 1.88 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.224 | 0.280 | 0.379 | 0.204 | 0.279 | 0.000 | 0.000 | 12.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 98 | 82 | 70 | 110 | 170 | 0 | 0 | 78 |
N.S. |
1 | 1.03 | 0.86 | 0.74 | 1.16 | 1.79 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.211 | 0.289 | 0.374 | 0.205 | 0.290 | 0.000 | 0.000 | 11.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 84 | 82 | 70 | 90 | 171 | 0 | 0 | 78 |
N.S. |
1 | 0.99 | 0.96 | 0.82 | 1.06 | 2.01 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.195 | 0.277 | 0.372 | 0.203 | 0.306 | 0.000 | 0.000 | 11.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 90 | 82 | 70 | 85 | 168 | 0 | 0 | 78 |
N.S. |
1 | 1.10 | 1.00 | 0.85 | 1.04 | 2.05 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.193 | 0.011 | 0.388 | 0.196 | 0.289 | 0.000 | 0.000 | 11.710 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 132 | 118 | 255 | 0 | 237 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.99 | 2.14 | 0.00 | 1.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.294 | 0.468 | 0.379 | 0.000 | 0.303 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 163 | 145 | 291 | 0 | 265 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.94 | 1.89 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.442 | 0.430 | 0.442 | 0.000 | 0.409 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 204 | 160 | 296 | 0 | 286 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.86 | 1.59 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.581 | 0.452 | 0.415 | 0.000 | 0.369 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 239 | 171 | 312 | 0 | 297 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.80 | 1.45 | 0.00 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.742 | 0.489 | 0.438 | 0.000 | 0.361 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 129 | 104 | 92 | 133 | 239 | 0 | 0 | 161 |
N.S. |
1 | 1.09 | 0.88 | 0.78 | 1.13 | 2.03 | 0.00 | 0.00 | 1.36 |
time (sec) |
N/A | 0.236 | 0.374 | 0.378 | 0.228 | 0.318 | 0.000 | 0.000 | 11.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 130 | 104 | 92 | 133 | 238 | 0 | 0 | 161 |
N.S. |
1 | 1.06 | 0.85 | 0.75 | 1.08 | 1.93 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.224 | 0.386 | 0.384 | 0.220 | 0.351 | 0.000 | 0.000 | 11.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 83 | 69 | 97 | 68 | 75 | 0 | 0 | 116 |
N.S. |
1 | 1.26 | 1.05 | 1.47 | 1.03 | 1.14 | 0.00 | 0.00 | 1.76 |
time (sec) |
N/A | 0.266 | 0.188 | 0.367 | 0.291 | 0.276 | 0.000 | 0.000 | 0.067 |
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 | 55 | 59 | 59 | 84 | 52 | 66 | 0 | 70 | 84 |
N.S. |
1 | 1.07 | 1.07 | 1.53 | 0.95 | 1.20 | 0.00 | 1.27 | 1.53 |
time (sec) |
N/A | 0.188 | 0.166 | 0.367 | 0.286 | 0.279 | 0.000 | 0.302 | 0.067 |
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 | 34 | 34 | 53 | 65 | 33 | 58 | 0 | 52 | 57 |
N.S. |
1 | 1.00 | 1.56 | 1.91 | 0.97 | 1.71 | 0.00 | 1.53 | 1.68 |
time (sec) |
N/A | 0.164 | 0.116 | 0.349 | 0.285 | 0.254 | 0.000 | 0.318 | 11.445 |
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 | 26 | 26 | 26 | 22 | 23 | 28 | 0 | 34 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.85 | 0.88 | 1.08 | 0.00 | 1.31 | 0.88 |
time (sec) |
N/A | 0.146 | 0.094 | 0.349 | 0.276 | 0.265 | 0.000 | 0.299 | 11.445 |
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 | 41 | 41 | 45 | 58 | 0 | 52 | 0 | 74 | 58 |
N.S. |
1 | 1.00 | 1.10 | 1.41 | 0.00 | 1.27 | 0.00 | 1.80 | 1.41 |
time (sec) |
N/A | 0.186 | 0.118 | 0.357 | 0.000 | 0.246 | 0.000 | 0.296 | 11.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 62 | 57 | 73 | 0 | 76 | 0 | 0 | 81 |
N.S. |
1 | 0.97 | 0.89 | 1.14 | 0.00 | 1.19 | 0.00 | 0.00 | 1.27 |
time (sec) |
N/A | 0.211 | 0.144 | 0.369 | 0.000 | 0.278 | 0.000 | 0.000 | 11.474 |
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 | 90 | 91 | 72 | 94 | 0 | 97 | 0 | 213 | 105 |
N.S. |
1 | 1.01 | 0.80 | 1.04 | 0.00 | 1.08 | 0.00 | 2.37 | 1.17 |
time (sec) |
N/A | 0.311 | 0.173 | 0.407 | 0.000 | 0.255 | 0.000 | 0.291 | 11.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 281 | 155 | 141 | 299 | 138 | 299 | 344 | 0 |
N.S. |
1 | 1.23 | 0.68 | 0.62 | 1.31 | 0.60 | 1.31 | 1.50 | 0.00 |
time (sec) |
N/A | 0.442 | 0.269 | 0.421 | 0.298 | 0.271 | 2.140 | 0.339 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 246 | 136 | 130 | 275 | 128 | 340 | 312 | 0 |
N.S. |
1 | 1.23 | 0.68 | 0.65 | 1.38 | 0.64 | 1.70 | 1.56 | 0.00 |
time (sec) |
N/A | 0.400 | 0.400 | 0.402 | 0.299 | 0.364 | 2.025 | 0.340 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 209 | 133 | 119 | 251 | 116 | 255 | 280 | 0 |
N.S. |
1 | 1.22 | 0.78 | 0.70 | 1.47 | 0.68 | 1.49 | 1.64 | 0.00 |
time (sec) |
N/A | 0.368 | 0.254 | 0.394 | 0.297 | 0.293 | 1.959 | 0.331 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 176 | 114 | 108 | 230 | 106 | 298 | 248 | 0 |
N.S. |
1 | 1.24 | 0.80 | 0.76 | 1.62 | 0.75 | 2.10 | 1.75 | 0.00 |
time (sec) |
N/A | 0.331 | 0.332 | 0.384 | 0.289 | 0.288 | 1.894 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 141 | 111 | 97 | 167 | 94 | 216 | 216 | 0 |
N.S. |
1 | 1.04 | 0.82 | 0.71 | 1.23 | 0.69 | 1.59 | 1.59 | 0.00 |
time (sec) |
N/A | 0.267 | 0.179 | 0.388 | 0.282 | 0.315 | 1.832 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 113 | 92 | 83 | 119 | 84 | 253 | 184 | 0 |
N.S. |
1 | 1.05 | 0.85 | 0.77 | 1.10 | 0.78 | 2.34 | 1.70 | 0.00 |
time (sec) |
N/A | 0.212 | 0.281 | 0.399 | 0.285 | 0.285 | 1.656 | 0.319 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | C | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 97 | 125 | 544 | 116 | 95 | 270 | 0 | 0 |
N.S. |
1 | 1.01 | 1.30 | 5.67 | 1.21 | 0.99 | 2.81 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 0.297 | 0.393 | 0.281 | 0.270 | 4.817 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 104 | 130 | 140 | 126 | 111 | 330 | 0 | 0 |
N.S. |
1 | 0.99 | 1.24 | 1.33 | 1.20 | 1.06 | 3.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 0.282 | 0.428 | 0.273 | 0.289 | 3.483 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 106 | 124 | 116 | 123 | 119 | 347 | 0 | 0 |
N.S. |
1 | 0.96 | 1.13 | 1.05 | 1.12 | 1.08 | 3.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.291 | 0.318 | 0.441 | 0.285 | 0.292 | 4.326 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 106 | 138 | 113 | 146 | 106 | 338 | 0 | 0 |
N.S. |
1 | 1.04 | 1.35 | 1.11 | 1.43 | 1.04 | 3.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.298 | 0.289 | 0.465 | 0.284 | 0.286 | 3.925 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 111 | 114 | 96 | 130 | 86 | 422 | 246 | 0 |
N.S. |
1 | 1.03 | 1.06 | 0.89 | 1.20 | 0.80 | 3.91 | 2.28 | 0.00 |
time (sec) |
N/A | 0.256 | 0.293 | 0.455 | 0.287 | 0.264 | 5.176 | 0.323 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 146 | 131 | 110 | 155 | 97 | 660 | 275 | 0 |
N.S. |
1 | 1.04 | 0.94 | 0.79 | 1.11 | 0.69 | 4.71 | 1.96 | 0.00 |
time (sec) |
N/A | 0.296 | 0.268 | 0.542 | 0.276 | 0.256 | 4.879 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 181 | 123 | 121 | 180 | 108 | 808 | 304 | 0 |
N.S. |
1 | 1.07 | 0.73 | 0.72 | 1.07 | 0.64 | 4.78 | 1.80 | 0.00 |
time (sec) |
N/A | 0.327 | 0.416 | 0.590 | 0.302 | 0.274 | 9.278 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 214 | 145 | 132 | 205 | 119 | 835 | 333 | 0 |
N.S. |
1 | 1.08 | 0.73 | 0.67 | 1.04 | 0.60 | 4.22 | 1.68 | 0.00 |
time (sec) |
N/A | 0.381 | 0.371 | 0.707 | 0.296 | 0.333 | 8.258 | 0.346 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 143 | 104 | 363 | 170 | 171 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.85 | 2.95 | 1.38 | 1.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.454 | 0.417 | 0.405 | 0.297 | 0.294 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 101 | 70 | 65 | 157 | 116 | 0 | 191 | 66 |
N.S. |
1 | 1.02 | 0.71 | 0.66 | 1.59 | 1.17 | 0.00 | 1.93 | 0.67 |
time (sec) |
N/A | 0.350 | 0.308 | 0.388 | 0.235 | 0.284 | 0.000 | 0.328 | 11.482 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 94 | 70 | 65 | 136 | 118 | 0 | 191 | 66 |
N.S. |
1 | 1.06 | 0.79 | 0.73 | 1.53 | 1.33 | 0.00 | 2.15 | 0.74 |
time (sec) |
N/A | 0.233 | 0.325 | 0.382 | 0.220 | 0.271 | 0.000 | 0.338 | 11.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 96 | 69 | 64 | 138 | 116 | 0 | 177 | 65 |
N.S. |
1 | 1.05 | 0.76 | 0.70 | 1.52 | 1.27 | 0.00 | 1.95 | 0.71 |
time (sec) |
N/A | 0.203 | 0.327 | 0.378 | 0.211 | 0.272 | 0.000 | 0.305 | 11.808 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 99 | 70 | 66 | 136 | 115 | 0 | 193 | 66 |
N.S. |
1 | 1.09 | 0.77 | 0.73 | 1.49 | 1.26 | 0.00 | 2.12 | 0.73 |
time (sec) |
N/A | 0.202 | 0.323 | 0.384 | 0.219 | 0.273 | 0.000 | 0.319 | 11.850 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 131 | 107 | 330 | 0 | 168 | 0 | 284 | 0 |
N.S. |
1 | 1.11 | 0.91 | 2.80 | 0.00 | 1.42 | 0.00 | 2.41 | 0.00 |
time (sec) |
N/A | 0.304 | 0.470 | 0.412 | 0.000 | 0.259 | 0.000 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 166 | 135 | 244 | 0 | 194 | 0 | 324 | 0 |
N.S. |
1 | 1.14 | 0.92 | 1.67 | 0.00 | 1.33 | 0.00 | 2.22 | 0.00 |
time (sec) |
N/A | 0.534 | 0.436 | 0.429 | 0.000 | 0.276 | 0.000 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 195 | 136 | 251 | 0 | 215 | 0 | 360 | 0 |
N.S. |
1 | 1.07 | 0.74 | 1.37 | 0.00 | 1.17 | 0.00 | 1.97 | 0.00 |
time (sec) |
N/A | 0.704 | 0.486 | 0.449 | 0.000 | 0.274 | 0.000 | 0.348 | 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 | 177 | 206 | 112 | 199 | 185 | 190 | 0 | 233 | 0 |
N.S. |
1 | 1.16 | 0.63 | 1.12 | 1.05 | 1.07 | 0.00 | 1.32 | 0.00 |
time (sec) |
N/A | 0.778 | 0.469 | 0.467 | 0.302 | 0.289 | 0.000 | 0.308 | 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 | 146 | 166 | 99 | 187 | 160 | 174 | 0 | 212 | 0 |
N.S. |
1 | 1.14 | 0.68 | 1.28 | 1.10 | 1.19 | 0.00 | 1.45 | 0.00 |
time (sec) |
N/A | 0.593 | 0.392 | 0.459 | 0.294 | 0.300 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 138 | 87 | 319 | 136 | 157 | 0 | 185 | 0 |
N.S. |
1 | 1.15 | 0.72 | 2.66 | 1.13 | 1.31 | 0.00 | 1.54 | 0.00 |
time (sec) |
N/A | 0.428 | 0.338 | 0.427 | 0.296 | 0.278 | 0.000 | 0.315 | 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 | 95 | 135 | 52 | 49 | 125 | 104 | 0 | 106 | 48 |
N.S. |
1 | 1.42 | 0.55 | 0.52 | 1.32 | 1.09 | 0.00 | 1.12 | 0.51 |
time (sec) |
N/A | 0.259 | 0.288 | 0.398 | 0.292 | 0.256 | 0.000 | 0.325 | 11.686 |
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 | 97 | 105 | 49 | 46 | 129 | 100 | 0 | 137 | 45 |
N.S. |
1 | 1.08 | 0.51 | 0.47 | 1.33 | 1.03 | 0.00 | 1.41 | 0.46 |
time (sec) |
N/A | 0.210 | 0.277 | 0.399 | 0.296 | 0.271 | 0.000 | 0.321 | 11.833 |
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 | 100 | 108 | 52 | 49 | 128 | 104 | 0 | 165 | 48 |
N.S. |
1 | 1.08 | 0.52 | 0.49 | 1.28 | 1.04 | 0.00 | 1.65 | 0.48 |
time (sec) |
N/A | 0.206 | 0.007 | 0.409 | 0.287 | 0.277 | 0.000 | 0.310 | 11.829 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 125 | 99 | 332 | 0 | 153 | 0 | 212 | 0 |
N.S. |
1 | 1.09 | 0.86 | 2.89 | 0.00 | 1.33 | 0.00 | 1.84 | 0.00 |
time (sec) |
N/A | 0.309 | 0.395 | 0.411 | 0.000 | 0.286 | 0.000 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 158 | 115 | 199 | 0 | 181 | 0 | 304 | 0 |
N.S. |
1 | 1.08 | 0.79 | 1.36 | 0.00 | 1.24 | 0.00 | 2.08 | 0.00 |
time (sec) |
N/A | 0.541 | 0.458 | 0.443 | 0.000 | 0.260 | 0.000 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 202 | 130 | 205 | 0 | 202 | 0 | 382 | 0 |
N.S. |
1 | 1.10 | 0.71 | 1.12 | 0.00 | 1.10 | 0.00 | 2.09 | 0.00 |
time (sec) |
N/A | 0.704 | 0.446 | 0.448 | 0.000 | 0.274 | 0.000 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 236 | 130 | 209 | 0 | 200 | 0 | 244 | 0 |
N.S. |
1 | 1.16 | 0.64 | 1.02 | 0.00 | 0.98 | 0.00 | 1.20 | 0.00 |
time (sec) |
N/A | 0.955 | 0.411 | 0.445 | 0.000 | 0.284 | 0.000 | 0.327 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 197 | 112 | 199 | 0 | 190 | 0 | 233 | 0 |
N.S. |
1 | 1.23 | 0.70 | 1.24 | 0.00 | 1.19 | 0.00 | 1.46 | 0.00 |
time (sec) |
N/A | 0.647 | 0.418 | 0.409 | 0.000 | 0.276 | 0.000 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 154 | 106 | 186 | 0 | 174 | 0 | 211 | 0 |
N.S. |
1 | 1.04 | 0.72 | 1.26 | 0.00 | 1.18 | 0.00 | 1.43 | 0.00 |
time (sec) |
N/A | 0.428 | 0.365 | 0.430 | 0.000 | 0.290 | 0.000 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 87 | 268 | 0 | 157 | 0 | 186 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.33 | 0.00 | 1.37 | 0.00 | 1.62 | 0.00 |
time (sec) |
N/A | 0.276 | 0.335 | 0.413 | 0.000 | 0.288 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 52 | 42 | 125 | 102 | 0 | 137 | 46 |
N.S. |
1 | 1.00 | 0.81 | 0.66 | 1.95 | 1.59 | 0.00 | 2.14 | 0.72 |
time (sec) |
N/A | 0.182 | 0.248 | 0.409 | 0.189 | 0.273 | 0.000 | 0.299 | 11.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 51 | 43 | 123 | 104 | 0 | 165 | 47 |
N.S. |
1 | 1.00 | 0.76 | 0.64 | 1.84 | 1.55 | 0.00 | 2.46 | 0.70 |
time (sec) |
N/A | 0.175 | 0.317 | 0.402 | 0.198 | 0.269 | 0.000 | 0.324 | 11.676 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 114 | 88 | 415 | 0 | 153 | 0 | 212 | 0 |
N.S. |
1 | 1.04 | 0.80 | 3.77 | 0.00 | 1.39 | 0.00 | 1.93 | 0.00 |
time (sec) |
N/A | 0.381 | 0.477 | 0.445 | 0.000 | 0.266 | 0.000 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 155 | 115 | 199 | 0 | 181 | 0 | 304 | 0 |
N.S. |
1 | 1.08 | 0.80 | 1.39 | 0.00 | 1.27 | 0.00 | 2.13 | 0.00 |
time (sec) |
N/A | 0.522 | 0.475 | 0.461 | 0.000 | 0.264 | 0.000 | 0.309 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 206 | 116 | 205 | 0 | 202 | 0 | 382 | 0 |
N.S. |
1 | 1.13 | 0.63 | 1.12 | 0.00 | 1.10 | 0.00 | 2.09 | 0.00 |
time (sec) |
N/A | 0.712 | 0.500 | 0.447 | 0.000 | 0.309 | 0.000 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 235 | 141 | 216 | 0 | 213 | 0 | 444 | 0 |
N.S. |
1 | 1.12 | 0.67 | 1.03 | 0.00 | 1.01 | 0.00 | 2.11 | 0.00 |
time (sec) |
N/A | 0.859 | 0.551 | 0.483 | 0.000 | 0.305 | 0.000 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 298 | 151 | 164 | 478 | 156 | 0 | 151 | 0 |
N.S. |
1 | 1.18 | 0.60 | 0.65 | 1.90 | 0.62 | 0.00 | 0.60 | 0.00 |
time (sec) |
N/A | 1.057 | 0.352 | 0.464 | 0.289 | 0.279 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 266 | 132 | 153 | 456 | 146 | 0 | 140 | 0 |
N.S. |
1 | 1.19 | 0.59 | 0.68 | 2.04 | 0.65 | 0.00 | 0.62 | 0.00 |
time (sec) |
N/A | 0.867 | 0.449 | 0.455 | 0.289 | 0.279 | 0.000 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 218 | 129 | 142 | 407 | 134 | 0 | 126 | 0 |
N.S. |
1 | 1.14 | 0.67 | 0.74 | 2.12 | 0.70 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.683 | 0.319 | 0.462 | 0.289 | 0.263 | 0.000 | 0.328 | 0.000 |