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(-2) | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 108 | 92 | 156 | 0 | 242 | 0 | 221 | 0 |
N.S. |
1 | 0.65 | 0.56 | 0.95 | 0.00 | 1.47 | 0.00 | 1.34 | 0.00 |
time (sec) |
N/A | 0.275 | 1.041 | 2.858 | 0.000 | 0.257 | 0.000 | 0.267 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 135 | 141 | 330 | 0 | 494 | 0 | 321 | 0 |
N.S. |
1 | 0.62 | 0.65 | 1.52 | 0.00 | 2.28 | 0.00 | 1.48 | 0.00 |
time (sec) |
N/A | 0.317 | 1.064 | 2.488 | 0.000 | 0.252 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 169 | 163 | 508 | 0 | 760 | 0 | 447 | 0 |
N.S. |
1 | 0.61 | 0.59 | 1.84 | 0.00 | 2.75 | 0.00 | 1.62 | 0.00 |
time (sec) |
N/A | 0.355 | 1.064 | 2.610 | 0.000 | 0.285 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 302 | 180 | 313 | 379 | 576 | 572 | 0 | 389 | 0 |
N.S. |
1 | 0.60 | 1.04 | 1.25 | 1.91 | 1.89 | 0.00 | 1.29 | 0.00 |
time (sec) |
N/A | 0.419 | 1.098 | 2.851 | 0.251 | 0.272 | 0.000 | 0.268 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 156 | 242 | 291 | 443 | 412 | 0 | 281 | 0 |
N.S. |
1 | 0.62 | 0.96 | 1.15 | 1.75 | 1.63 | 0.00 | 1.11 | 0.00 |
time (sec) |
N/A | 0.365 | 1.081 | 2.873 | 0.229 | 0.280 | 0.000 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 137 | 138 | 202 | 323 | 267 | 0 | 200 | 0 |
N.S. |
1 | 0.66 | 0.66 | 0.97 | 1.55 | 1.28 | 0.00 | 0.96 | 0.00 |
time (sec) |
N/A | 0.316 | 1.057 | 2.833 | 0.217 | 0.256 | 0.000 | 0.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 106 | 113 | 238 | 143 | 0 | 119 | 254 |
N.S. |
1 | 1.00 | 2.21 | 2.35 | 4.96 | 2.98 | 0.00 | 2.48 | 5.29 |
time (sec) |
N/A | 0.183 | 1.036 | 2.510 | 0.256 | 0.260 | 0.000 | 0.275 | 10.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 91 | 417 | 69 | 115 | 98 | 0 | 69 | 79 |
N.S. |
1 | 0.73 | 3.34 | 0.55 | 0.92 | 0.78 | 0.00 | 0.55 | 0.63 |
time (sec) |
N/A | 0.251 | 1.303 | 2.461 | 0.206 | 0.258 | 0.000 | 0.258 | 9.628 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 345 | 33 | 56 | 61 | 0 | 33 | 43 |
N.S. |
1 | 1.00 | 4.86 | 0.46 | 0.79 | 0.86 | 0.00 | 0.46 | 0.61 |
time (sec) |
N/A | 0.196 | 0.927 | 2.758 | 0.205 | 0.281 | 0.000 | 0.265 | 9.570 |
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 | 23 | 20 | 14 | 46 | 0 | 20 | 30 |
N.S. |
1 | 1.00 | 0.68 | 0.59 | 0.41 | 1.35 | 0.00 | 0.59 | 0.88 |
time (sec) |
N/A | 0.154 | 0.007 | 2.371 | 0.204 | 0.294 | 0.000 | 0.288 | 9.529 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 156 | 163 | 359 | 0 | 657 | 0 | 418 | 0 |
N.S. |
1 | 0.62 | 0.64 | 1.42 | 0.00 | 2.60 | 0.00 | 1.65 | 0.00 |
time (sec) |
N/A | 0.336 | 1.080 | 2.645 | 0.000 | 0.290 | 0.000 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 307 | 185 | 167 | 651 | 0 | 1083 | 0 | 546 | 0 |
N.S. |
1 | 0.60 | 0.54 | 2.12 | 0.00 | 3.53 | 0.00 | 1.78 | 0.00 |
time (sec) |
N/A | 0.396 | 1.073 | 2.533 | 0.000 | 0.320 | 0.000 | 0.272 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 365 | 218 | 209 | 983 | 0 | 1565 | 0 | 683 | 0 |
N.S. |
1 | 0.60 | 0.57 | 2.69 | 0.00 | 4.29 | 0.00 | 1.87 | 0.00 |
time (sec) |
N/A | 0.447 | 1.091 | 2.596 | 0.000 | 0.444 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 52 | 34 | 86 | 78 | 69 | 92 | 158 | 0 |
N.S. |
1 | 1.04 | 0.68 | 1.72 | 1.56 | 1.38 | 1.84 | 3.16 | 0.00 |
time (sec) |
N/A | 0.178 | 0.451 | 2.175 | 0.296 | 0.372 | 0.688 | 0.268 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 52 | 33 | 62 | 78 | 44 | 66 | 110 | 67 |
N.S. |
1 | 1.04 | 0.66 | 1.24 | 1.56 | 0.88 | 1.32 | 2.20 | 1.34 |
time (sec) |
N/A | 0.175 | 0.355 | 2.168 | 0.297 | 0.356 | 0.608 | 0.274 | 9.601 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 38 | 27 | 78 | 23 | 37 | 61 | 30 |
N.S. |
1 | 1.00 | 0.76 | 0.54 | 1.56 | 0.46 | 0.74 | 1.22 | 0.60 |
time (sec) |
N/A | 0.176 | 0.124 | 2.097 | 0.293 | 0.364 | 0.544 | 0.273 | 9.638 |
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 | 41 | 26 | 30 | 20 | 46 | 37 | 46 |
N.S. |
1 | 1.00 | 0.73 | 0.46 | 0.54 | 0.36 | 0.82 | 0.66 | 0.82 |
time (sec) |
N/A | 0.176 | 0.148 | 2.327 | 0.287 | 0.547 | 0.545 | 0.277 | 10.485 |
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 | 52 | 52 | 38 | 28 | 36 | 25 | 0 | 28 | 32 |
N.S. |
1 | 1.00 | 0.73 | 0.54 | 0.69 | 0.48 | 0.00 | 0.54 | 0.62 |
time (sec) |
N/A | 0.180 | 0.167 | 2.513 | 0.289 | 0.261 | 0.000 | 0.282 | 0.090 |
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 | 52 | 52 | 34 | 28 | 36 | 35 | 0 | 28 | 32 |
N.S. |
1 | 1.00 | 0.65 | 0.54 | 0.69 | 0.67 | 0.00 | 0.54 | 0.62 |
time (sec) |
N/A | 0.174 | 0.290 | 2.148 | 0.316 | 0.282 | 0.000 | 0.286 | 0.093 |
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 | 52 | 52 | 34 | 28 | 36 | 45 | 0 | 28 | 32 |
N.S. |
1 | 1.00 | 0.65 | 0.54 | 0.69 | 0.87 | 0.00 | 0.54 | 0.62 |
time (sec) |
N/A | 0.174 | 0.327 | 2.210 | 0.283 | 0.257 | 0.000 | 0.272 | 9.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 61 | 54 | 68 | 212 | 432 | 791 | 68 |
N.S. |
1 | 1.00 | 0.86 | 0.76 | 0.96 | 2.99 | 6.08 | 11.14 | 0.96 |
time (sec) |
N/A | 0.215 | 0.051 | 2.138 | 0.199 | 0.294 | 0.561 | 0.279 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 61 | 54 | 68 | 174 | 355 | 558 | 68 |
N.S. |
1 | 1.00 | 0.86 | 0.76 | 0.96 | 2.45 | 5.00 | 7.86 | 0.96 |
time (sec) |
N/A | 0.218 | 0.046 | 2.082 | 0.198 | 0.289 | 0.368 | 0.287 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 61 | 54 | 68 | 137 | 110 | 360 | 68 |
N.S. |
1 | 1.00 | 0.86 | 0.76 | 0.96 | 1.93 | 1.55 | 5.07 | 0.96 |
time (sec) |
N/A | 0.214 | 0.048 | 2.068 | 0.200 | 0.288 | 0.844 | 0.286 | 9.578 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 61 | 54 | 68 | 99 | 110 | 200 | 68 |
N.S. |
1 | 1.00 | 0.86 | 0.76 | 0.96 | 1.39 | 1.55 | 2.82 | 0.96 |
time (sec) |
N/A | 0.210 | 0.040 | 2.010 | 0.202 | 0.368 | 0.790 | 0.272 | 9.560 |
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 | 69 | 69 | 60 | 54 | 82 | 64 | 110 | 82 | 68 |
N.S. |
1 | 1.00 | 0.87 | 0.78 | 1.19 | 0.93 | 1.59 | 1.19 | 0.99 |
time (sec) |
N/A | 0.200 | 0.039 | 2.025 | 0.196 | 0.346 | 0.616 | 0.271 | 0.054 |
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 | 67 | 67 | 59 | 55 | 75 | 73 | 94 | 84 | 67 |
N.S. |
1 | 1.00 | 0.88 | 0.82 | 1.12 | 1.09 | 1.40 | 1.25 | 1.00 |
time (sec) |
N/A | 0.207 | 0.044 | 2.329 | 0.201 | 0.336 | 1.348 | 0.286 | 9.552 |
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 | 67 | 67 | 62 | 50 | 72 | 85 | 265 | 72 | 68 |
N.S. |
1 | 1.00 | 0.93 | 0.75 | 1.07 | 1.27 | 3.96 | 1.07 | 1.01 |
time (sec) |
N/A | 0.204 | 0.047 | 2.293 | 0.204 | 0.345 | 0.346 | 0.267 | 0.054 |
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 | 69 | 69 | 61 | 56 | 65 | 95 | 389 | 68 | 62 |
N.S. |
1 | 1.00 | 0.88 | 0.81 | 0.94 | 1.38 | 5.64 | 0.99 | 0.90 |
time (sec) |
N/A | 0.201 | 0.049 | 2.039 | 0.203 | 0.613 | 0.497 | 0.270 | 9.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 154 | 143 | 181 | 444 | 903 | 1661 | 112 |
N.S. |
1 | 1.00 | 1.19 | 1.11 | 1.40 | 3.44 | 7.00 | 12.88 | 0.87 |
time (sec) |
N/A | 0.283 | 0.098 | 2.368 | 0.198 | 0.274 | 0.753 | 0.297 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 154 | 144 | 181 | 377 | 272 | 1204 | 112 |
N.S. |
1 | 1.00 | 1.19 | 1.12 | 1.40 | 2.92 | 2.11 | 9.33 | 0.87 |
time (sec) |
N/A | 0.271 | 0.095 | 2.267 | 0.206 | 0.265 | 1.267 | 0.306 | 9.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 154 | 143 | 181 | 311 | 272 | 807 | 112 |
N.S. |
1 | 1.00 | 1.19 | 1.11 | 1.40 | 2.41 | 2.11 | 6.26 | 0.87 |
time (sec) |
N/A | 0.270 | 0.089 | 2.242 | 0.193 | 0.276 | 1.145 | 0.316 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 154 | 143 | 181 | 245 | 272 | 470 | 112 |
N.S. |
1 | 1.00 | 1.19 | 1.11 | 1.40 | 1.90 | 2.11 | 3.64 | 0.87 |
time (sec) |
N/A | 0.261 | 0.082 | 2.284 | 0.193 | 0.263 | 1.033 | 0.294 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 153 | 143 | 247 | 182 | 270 | 204 | 112 |
N.S. |
1 | 1.00 | 1.20 | 1.13 | 1.94 | 1.43 | 2.13 | 1.61 | 0.88 |
time (sec) |
N/A | 0.265 | 0.083 | 2.293 | 0.203 | 0.273 | 1.014 | 0.268 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 151 | 145 | 189 | 192 | 224 | 240 | 153 |
N.S. |
1 | 1.00 | 1.23 | 1.18 | 1.54 | 1.56 | 1.82 | 1.95 | 1.24 |
time (sec) |
N/A | 0.270 | 0.081 | 2.462 | 0.223 | 0.270 | 3.748 | 0.281 | 9.590 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 153 | 128 | 187 | 203 | 190 | 229 | 175 |
N.S. |
1 | 1.00 | 1.22 | 1.02 | 1.50 | 1.62 | 1.52 | 1.83 | 1.40 |
time (sec) |
N/A | 0.265 | 0.089 | 2.763 | 0.206 | 0.270 | 3.783 | 0.283 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 154 | 131 | 189 | 213 | 1008 | 223 | 185 |
N.S. |
1 | 1.00 | 1.23 | 1.05 | 1.51 | 1.70 | 8.06 | 1.78 | 1.48 |
time (sec) |
N/A | 0.266 | 0.087 | 2.328 | 0.194 | 0.302 | 0.555 | 0.291 | 9.555 |
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 | 187 | 187 | 291 | 276 | 350 | 729 | 495 | 2771 | 162 |
N.S. |
1 | 1.00 | 1.56 | 1.48 | 1.87 | 3.90 | 2.65 | 14.82 | 0.87 |
time (sec) |
N/A | 0.344 | 0.182 | 2.388 | 0.197 | 0.381 | 1.686 | 0.328 | 9.592 |
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 | 185 | 185 | 291 | 276 | 350 | 635 | 495 | 2042 | 162 |
N.S. |
1 | 1.00 | 1.57 | 1.49 | 1.89 | 3.43 | 2.68 | 11.04 | 0.88 |
time (sec) |
N/A | 0.321 | 0.175 | 2.438 | 0.221 | 0.377 | 1.578 | 0.306 | 0.055 |
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 | 187 | 187 | 291 | 276 | 350 | 541 | 495 | 1397 | 162 |
N.S. |
1 | 1.00 | 1.56 | 1.48 | 1.87 | 2.89 | 2.65 | 7.47 | 0.87 |
time (sec) |
N/A | 0.317 | 0.152 | 2.310 | 0.199 | 0.391 | 1.370 | 0.288 | 9.533 |
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 | 187 | 187 | 291 | 276 | 350 | 447 | 495 | 836 | 162 |
N.S. |
1 | 1.00 | 1.56 | 1.48 | 1.87 | 2.39 | 2.65 | 4.47 | 0.87 |
time (sec) |
N/A | 0.307 | 0.139 | 2.302 | 0.201 | 0.369 | 1.284 | 0.268 | 9.521 |
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 | 181 | 181 | 290 | 275 | 540 | 356 | 493 | 374 | 162 |
N.S. |
1 | 1.00 | 1.60 | 1.52 | 2.98 | 1.97 | 2.72 | 2.07 | 0.90 |
time (sec) |
N/A | 0.312 | 0.129 | 2.363 | 0.218 | 0.338 | 1.230 | 0.282 | 10.081 |
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 | 179 | 179 | 288 | 278 | 358 | 365 | 416 | 479 | 231 |
N.S. |
1 | 1.00 | 1.61 | 1.55 | 2.00 | 2.04 | 2.32 | 2.68 | 1.29 |
time (sec) |
N/A | 0.316 | 0.133 | 2.357 | 0.211 | 0.284 | 10.169 | 0.284 | 10.222 |
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 | 181 | 181 | 290 | 276 | 356 | 377 | 352 | 464 | 281 |
N.S. |
1 | 1.00 | 1.60 | 1.52 | 1.97 | 2.08 | 1.94 | 2.56 | 1.55 |
time (sec) |
N/A | 0.309 | 0.137 | 2.630 | 0.225 | 0.274 | 10.372 | 0.291 | 9.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 291 | 248 | 356 | 388 | 301 | 457 | 322 |
N.S. |
1 | 1.00 | 1.63 | 1.39 | 1.99 | 2.17 | 1.68 | 2.55 | 1.80 |
time (sec) |
N/A | 0.308 | 0.136 | 2.532 | 0.218 | 0.283 | 10.436 | 0.281 | 0.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 179 | 208 | 217 | 0 | 678 | 0 | 375 | 352 |
N.S. |
1 | 1.10 | 1.28 | 1.34 | 0.00 | 4.19 | 0.00 | 2.31 | 2.17 |
time (sec) |
N/A | 0.309 | 0.408 | 2.567 | 0.000 | 0.340 | 0.000 | 0.274 | 9.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 150 | 158 | 167 | 0 | 486 | 0 | 270 | 235 |
N.S. |
1 | 1.09 | 1.15 | 1.22 | 0.00 | 3.55 | 0.00 | 1.97 | 1.72 |
time (sec) |
N/A | 0.270 | 0.340 | 2.353 | 0.000 | 0.285 | 0.000 | 0.275 | 9.414 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 121 | 116 | 120 | 0 | 330 | 0 | 181 | 161 |
N.S. |
1 | 1.10 | 1.05 | 1.09 | 0.00 | 3.00 | 0.00 | 1.65 | 1.46 |
time (sec) |
N/A | 0.247 | 0.280 | 2.439 | 0.000 | 0.283 | 0.000 | 0.283 | 9.409 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 92 | 83 | 93 | 0 | 210 | 0 | 113 | 109 |
N.S. |
1 | 1.08 | 0.98 | 1.09 | 0.00 | 2.47 | 0.00 | 1.33 | 1.28 |
time (sec) |
N/A | 0.222 | 0.231 | 2.367 | 0.000 | 0.410 | 0.000 | 0.272 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 69 | 58 | 0 | 232 | 0 | 72 | 61 |
N.S. |
1 | 1.00 | 0.99 | 0.83 | 0.00 | 3.31 | 0.00 | 1.03 | 0.87 |
time (sec) |
N/A | 0.200 | 0.174 | 2.248 | 0.000 | 0.473 | 0.000 | 0.317 | 9.377 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 75 | 64 | 0 | 280 | 0 | 87 | 74 |
N.S. |
1 | 1.00 | 0.99 | 0.84 | 0.00 | 3.68 | 0.00 | 1.14 | 0.97 |
time (sec) |
N/A | 0.221 | 0.159 | 2.267 | 0.000 | 0.381 | 0.000 | 0.279 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 113 | 90 | 78 | 0 | 423 | 0 | 143 | 123 |
N.S. |
1 | 1.14 | 0.91 | 0.79 | 0.00 | 4.27 | 0.00 | 1.44 | 1.24 |
time (sec) |
N/A | 0.235 | 0.277 | 2.537 | 0.000 | 0.387 | 0.000 | 0.295 | 0.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 149 | 125 | 121 | 0 | 782 | 0 | 216 | 161 |
N.S. |
1 | 1.20 | 1.01 | 0.98 | 0.00 | 6.31 | 0.00 | 1.74 | 1.30 |
time (sec) |
N/A | 0.258 | 0.287 | 2.688 | 0.000 | 0.693 | 0.000 | 0.278 | 9.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 185 | 166 | 144 | 0 | 1218 | 0 | 298 | 198 |
N.S. |
1 | 1.23 | 1.10 | 0.95 | 0.00 | 8.07 | 0.00 | 1.97 | 1.31 |
time (sec) |
N/A | 0.282 | 0.315 | 2.348 | 0.000 | 0.338 | 0.000 | 0.278 | 9.518 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 214 | 277 | 229 | 0 | 994 | 0 | 490 | 495 |
N.S. |
1 | 1.06 | 1.38 | 1.14 | 0.00 | 4.95 | 0.00 | 2.44 | 2.46 |
time (sec) |
N/A | 0.302 | 0.967 | 2.551 | 0.000 | 0.387 | 0.000 | 0.290 | 9.491 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 185 | 208 | 178 | 0 | 730 | 0 | 358 | 388 |
N.S. |
1 | 1.08 | 1.21 | 1.03 | 0.00 | 4.24 | 0.00 | 2.08 | 2.26 |
time (sec) |
N/A | 0.282 | 0.818 | 2.676 | 0.000 | 0.305 | 0.000 | 0.265 | 9.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 156 | 160 | 151 | 0 | 498 | 0 | 245 | 303 |
N.S. |
1 | 1.08 | 1.10 | 1.04 | 0.00 | 3.43 | 0.00 | 1.69 | 2.09 |
time (sec) |
N/A | 0.268 | 0.592 | 2.879 | 0.000 | 0.275 | 0.000 | 0.281 | 9.475 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 134 | 119 | 122 | 0 | 563 | 0 | 161 | 222 |
N.S. |
1 | 1.06 | 0.94 | 0.97 | 0.00 | 4.47 | 0.00 | 1.28 | 1.76 |
time (sec) |
N/A | 0.244 | 0.496 | 2.657 | 0.000 | 0.283 | 0.000 | 0.281 | 0.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 140 | 129 | 119 | 0 | 666 | 0 | 185 | 209 |
N.S. |
1 | 1.03 | 0.95 | 0.88 | 0.00 | 4.90 | 0.00 | 1.36 | 1.54 |
time (sec) |
N/A | 0.262 | 0.512 | 2.482 | 0.000 | 0.297 | 0.000 | 0.278 | 0.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 154 | 131 | 118 | 0 | 785 | 0 | 207 | 207 |
N.S. |
1 | 1.05 | 0.90 | 0.81 | 0.00 | 5.38 | 0.00 | 1.42 | 1.42 |
time (sec) |
N/A | 0.265 | 0.544 | 2.601 | 0.000 | 0.431 | 0.000 | 0.285 | 9.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 168 | 128 | 130 | 0 | 884 | 0 | 231 | 218 |
N.S. |
1 | 1.14 | 0.87 | 0.88 | 0.00 | 6.01 | 0.00 | 1.57 | 1.48 |
time (sec) |
N/A | 0.276 | 0.294 | 3.105 | 0.000 | 0.407 | 0.000 | 0.270 | 9.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 205 | 170 | 156 | 0 | 1204 | 0 | 326 | 294 |
N.S. |
1 | 1.18 | 0.98 | 0.90 | 0.00 | 6.96 | 0.00 | 1.88 | 1.70 |
time (sec) |
N/A | 0.289 | 0.638 | 2.482 | 0.000 | 0.458 | 0.000 | 0.300 | 9.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 241 | 220 | 177 | 0 | 1840 | 0 | 432 | 334 |
N.S. |
1 | 1.20 | 1.10 | 0.88 | 0.00 | 9.20 | 0.00 | 2.16 | 1.67 |
time (sec) |
N/A | 0.317 | 0.907 | 2.799 | 0.000 | 0.652 | 0.000 | 0.279 | 9.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 277 | 285 | 200 | 0 | 2550 | 0 | 480 | 373 |
N.S. |
1 | 1.21 | 1.24 | 0.87 | 0.00 | 11.14 | 0.00 | 2.10 | 1.63 |
time (sec) |
N/A | 0.344 | 1.051 | 2.522 | 0.000 | 1.029 | 0.000 | 0.279 | 9.828 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 278 | 434 | 342 | 0 | 1606 | 0 | 784 | 846 |
N.S. |
1 | 1.10 | 1.72 | 1.35 | 0.00 | 6.35 | 0.00 | 3.10 | 3.34 |
time (sec) |
N/A | 0.347 | 1.926 | 3.510 | 0.000 | 0.355 | 0.000 | 0.300 | 9.736 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 249 | 351 | 292 | 0 | 1234 | 0 | 611 | 711 |
N.S. |
1 | 1.11 | 1.57 | 1.30 | 0.00 | 5.51 | 0.00 | 2.73 | 3.17 |
time (sec) |
N/A | 0.323 | 1.853 | 3.411 | 0.000 | 0.331 | 0.000 | 0.297 | 0.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 220 | 273 | 265 | 0 | 890 | 0 | 456 | 598 |
N.S. |
1 | 1.12 | 1.39 | 1.35 | 0.00 | 4.52 | 0.00 | 2.31 | 3.04 |
time (sec) |
N/A | 0.299 | 1.556 | 3.870 | 0.000 | 0.326 | 0.000 | 0.303 | 0.323 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 198 | 212 | 211 | 0 | 1003 | 0 | 330 | 480 |
N.S. |
1 | 1.11 | 1.19 | 1.19 | 0.00 | 5.63 | 0.00 | 1.85 | 2.70 |
time (sec) |
N/A | 0.273 | 1.166 | 3.530 | 0.000 | 0.362 | 0.000 | 0.306 | 9.557 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 204 | 223 | 207 | 0 | 1158 | 0 | 354 | 439 |
N.S. |
1 | 1.09 | 1.19 | 1.10 | 0.00 | 6.16 | 0.00 | 1.88 | 2.34 |
time (sec) |
N/A | 0.292 | 1.269 | 3.594 | 0.000 | 0.341 | 0.000 | 0.291 | 9.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 218 | 222 | 205 | 0 | 1337 | 0 | 380 | 411 |
N.S. |
1 | 1.10 | 1.12 | 1.04 | 0.00 | 6.75 | 0.00 | 1.92 | 2.08 |
time (sec) |
N/A | 0.300 | 1.205 | 3.696 | 0.000 | 0.322 | 0.000 | 0.294 | 0.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 232 | 223 | 219 | 0 | 1492 | 0 | 410 | 398 |
N.S. |
1 | 1.12 | 1.07 | 1.05 | 0.00 | 7.17 | 0.00 | 1.97 | 1.91 |
time (sec) |
N/A | 0.316 | 1.540 | 2.366 | 0.000 | 0.507 | 0.000 | 0.286 | 9.578 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 246 | 224 | 220 | 0 | 1673 | 0 | 432 | 401 |
N.S. |
1 | 1.13 | 1.03 | 1.01 | 0.00 | 7.67 | 0.00 | 1.98 | 1.84 |
time (sec) |
N/A | 0.328 | 1.257 | 2.532 | 0.000 | 0.447 | 0.000 | 0.316 | 9.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 260 | 220 | 219 | 0 | 1824 | 0 | 456 | 252 |
N.S. |
1 | 1.22 | 1.03 | 1.03 | 0.00 | 8.56 | 0.00 | 2.14 | 1.18 |
time (sec) |
N/A | 0.334 | 0.572 | 3.131 | 0.000 | 0.484 | 0.000 | 0.279 | 9.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 297 | 284 | 270 | 0 | 2314 | 0 | 579 | 515 |
N.S. |
1 | 1.24 | 1.19 | 1.13 | 0.00 | 9.68 | 0.00 | 2.42 | 2.15 |
time (sec) |
N/A | 0.357 | 1.477 | 2.501 | 0.000 | 1.017 | 0.000 | 0.304 | 10.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 333 | 357 | 291 | 0 | 3244 | 0 | 649 | 555 |
N.S. |
1 | 1.25 | 1.34 | 1.09 | 0.00 | 12.20 | 0.00 | 2.44 | 2.09 |
time (sec) |
N/A | 0.382 | 2.021 | 2.411 | 0.000 | 0.878 | 0.000 | 0.297 | 10.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 295 | 369 | 443 | 314 | 0 | 4232 | 0 | 898 | 594 |
N.S. |
1 | 1.25 | 1.50 | 1.06 | 0.00 | 14.35 | 0.00 | 3.04 | 2.01 |
time (sec) |
N/A | 0.392 | 2.206 | 2.547 | 0.000 | 1.617 | 0.000 | 0.295 | 10.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 96 | 70 | 48 | 33 | 93 | 93 | 0 | 354 | 0 |
N.S. |
1 | 0.73 | 0.50 | 0.34 | 0.97 | 0.97 | 0.00 | 3.69 | 0.00 |
time (sec) |
N/A | 0.217 | 0.037 | 2.249 | 0.196 | 0.322 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 96 | 70 | 48 | 33 | 69 | 69 | 0 | 228 | 0 |
N.S. |
1 | 0.73 | 0.50 | 0.34 | 0.72 | 0.72 | 0.00 | 2.38 | 0.00 |
time (sec) |
N/A | 0.212 | 0.029 | 2.422 | 0.236 | 0.272 | 0.000 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 96 | 70 | 48 | 33 | 46 | 46 | 0 | 124 | 0 |
N.S. |
1 | 0.73 | 0.50 | 0.34 | 0.48 | 0.48 | 0.00 | 1.29 | 0.00 |
time (sec) |
N/A | 0.213 | 0.026 | 2.393 | 0.205 | 0.272 | 0.000 | 0.268 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 94 | 68 | 47 | 32 | 46 | 25 | 0 | 51 | 81 |
N.S. |
1 | 0.72 | 0.50 | 0.34 | 0.49 | 0.27 | 0.00 | 0.54 | 0.86 |
time (sec) |
N/A | 0.214 | 0.027 | 2.049 | 0.199 | 0.384 | 0.000 | 0.284 | 9.611 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 66 | 48 | 32 | 25 | 35 | 0 | 52 | 58 |
N.S. |
1 | 0.72 | 0.52 | 0.35 | 0.27 | 0.38 | 0.00 | 0.57 | 0.63 |
time (sec) |
N/A | 0.215 | 0.032 | 2.078 | 0.216 | 0.400 | 0.000 | 0.302 | 9.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 94 | 68 | 47 | 32 | 35 | 46 | 0 | 46 | 95 |
N.S. |
1 | 0.72 | 0.50 | 0.34 | 0.37 | 0.49 | 0.00 | 0.49 | 1.01 |
time (sec) |
N/A | 0.209 | 0.033 | 2.009 | 0.223 | 0.355 | 0.000 | 0.297 | 9.935 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 96 | 70 | 48 | 33 | 47 | 58 | 0 | 47 | 120 |
N.S. |
1 | 0.73 | 0.50 | 0.34 | 0.49 | 0.60 | 0.00 | 0.49 | 1.25 |
time (sec) |
N/A | 0.215 | 0.033 | 2.027 | 0.216 | 0.344 | 0.000 | 0.299 | 9.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 128 | 120 | 132 | 268 | 268 | 0 | 953 | 0 |
N.S. |
1 | 0.62 | 0.58 | 0.63 | 1.29 | 1.29 | 0.00 | 4.58 | 0.00 |
time (sec) |
N/A | 0.273 | 0.085 | 2.506 | 0.204 | 0.594 | 0.000 | 0.360 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 128 | 120 | 132 | 216 | 216 | 0 | 638 | 0 |
N.S. |
1 | 0.62 | 0.58 | 0.63 | 1.04 | 1.04 | 0.00 | 3.07 | 0.00 |
time (sec) |
N/A | 0.262 | 0.074 | 2.576 | 0.206 | 0.290 | 0.000 | 0.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 128 | 120 | 132 | 164 | 164 | 0 | 370 | 0 |
N.S. |
1 | 0.62 | 0.58 | 0.63 | 0.79 | 0.79 | 0.00 | 1.78 | 0.00 |
time (sec) |
N/A | 0.264 | 0.074 | 2.254 | 0.199 | 0.266 | 0.000 | 0.462 | 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 | 204 | 124 | 119 | 132 | 164 | 115 | 0 | 161 | 198 |
N.S. |
1 | 0.61 | 0.58 | 0.65 | 0.80 | 0.56 | 0.00 | 0.79 | 0.97 |
time (sec) |
N/A | 0.261 | 0.065 | 2.239 | 0.204 | 0.271 | 0.000 | 0.383 | 9.950 |
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 | 202 | 122 | 119 | 132 | 114 | 124 | 0 | 212 | 147 |
N.S. |
1 | 0.60 | 0.59 | 0.65 | 0.56 | 0.61 | 0.00 | 1.05 | 0.73 |
time (sec) |
N/A | 0.261 | 0.066 | 2.269 | 0.205 | 0.276 | 0.000 | 0.352 | 10.072 |
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 | 204 | 124 | 119 | 108 | 125 | 136 | 0 | 201 | 184 |
N.S. |
1 | 0.61 | 0.58 | 0.53 | 0.61 | 0.67 | 0.00 | 0.99 | 0.90 |
time (sec) |
N/A | 0.263 | 0.076 | 2.257 | 0.196 | 0.274 | 0.000 | 0.353 | 10.201 |
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 | 202 | 122 | 118 | 131 | 137 | 148 | 0 | 191 | 210 |
N.S. |
1 | 0.60 | 0.58 | 0.65 | 0.68 | 0.73 | 0.00 | 0.95 | 1.04 |
time (sec) |
N/A | 0.251 | 0.079 | 2.509 | 0.206 | 0.269 | 0.000 | 0.343 | 10.229 |
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 | 204 | 124 | 119 | 132 | 147 | 158 | 0 | 188 | 239 |
N.S. |
1 | 0.61 | 0.58 | 0.65 | 0.72 | 0.77 | 0.00 | 0.92 | 1.17 |
time (sec) |
N/A | 0.261 | 0.083 | 2.621 | 0.198 | 0.290 | 0.000 | 0.326 | 10.332 |
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 | 208 | 128 | 120 | 132 | 159 | 170 | 0 | 188 | 268 |
N.S. |
1 | 0.62 | 0.58 | 0.63 | 0.76 | 0.82 | 0.00 | 0.90 | 1.29 |
time (sec) |
N/A | 0.256 | 0.088 | 2.352 | 0.208 | 0.400 | 0.000 | 0.346 | 10.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 320 | 186 | 235 | 289 | 497 | 497 | 0 | 1743 | 0 |
N.S. |
1 | 0.58 | 0.73 | 0.90 | 1.55 | 1.55 | 0.00 | 5.45 | 0.00 |
time (sec) |
N/A | 0.323 | 0.143 | 2.299 | 0.208 | 0.391 | 0.000 | 0.376 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 320 | 186 | 235 | 289 | 418 | 418 | 0 | 1192 | 0 |
N.S. |
1 | 0.58 | 0.73 | 0.90 | 1.31 | 1.31 | 0.00 | 3.72 | 0.00 |
time (sec) |
N/A | 0.315 | 0.129 | 2.313 | 0.249 | 0.395 | 0.000 | 0.357 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 318 | 184 | 235 | 289 | 338 | 338 | 0 | 713 | 0 |
N.S. |
1 | 0.58 | 0.74 | 0.91 | 1.06 | 1.06 | 0.00 | 2.24 | 0.00 |
time (sec) |
N/A | 0.307 | 0.117 | 2.214 | 0.220 | 0.576 | 0.000 | 0.342 | 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 | 316 | 182 | 234 | 289 | 338 | 261 | 0 | 319 | 375 |
N.S. |
1 | 0.58 | 0.74 | 0.91 | 1.07 | 0.83 | 0.00 | 1.01 | 1.19 |
time (sec) |
N/A | 0.308 | 0.109 | 2.229 | 0.212 | 0.334 | 0.000 | 0.307 | 10.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 180 | 234 | 289 | 261 | 271 | 0 | 476 | 294 |
N.S. |
1 | 0.57 | 0.75 | 0.92 | 0.83 | 0.86 | 0.00 | 1.52 | 0.94 |
time (sec) |
N/A | 0.305 | 0.119 | 3.009 | 0.220 | 0.288 | 0.000 | 0.324 | 10.422 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 180 | 235 | 226 | 272 | 283 | 0 | 461 | 330 |
N.S. |
1 | 0.57 | 0.75 | 0.72 | 0.87 | 0.90 | 0.00 | 1.47 | 1.05 |
time (sec) |
N/A | 0.304 | 0.119 | 2.470 | 0.206 | 0.277 | 0.000 | 0.335 | 10.517 |
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 | 316 | 182 | 236 | 215 | 283 | 294 | 0 | 457 | 359 |
N.S. |
1 | 0.58 | 0.75 | 0.68 | 0.90 | 0.93 | 0.00 | 1.45 | 1.14 |
time (sec) |
N/A | 0.309 | 0.124 | 2.289 | 0.213 | 0.302 | 0.000 | 0.313 | 10.540 |
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 | 314 | 180 | 235 | 227 | 293 | 304 | 0 | 451 | 386 |
N.S. |
1 | 0.57 | 0.75 | 0.72 | 0.93 | 0.97 | 0.00 | 1.44 | 1.23 |
time (sec) |
N/A | 0.319 | 0.123 | 2.228 | 0.206 | 0.356 | 0.000 | 0.298 | 10.573 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 180 | 235 | 282 | 305 | 316 | 0 | 441 | 416 |
N.S. |
1 | 0.57 | 0.75 | 0.90 | 0.97 | 1.01 | 0.00 | 1.40 | 1.32 |
time (sec) |
N/A | 0.306 | 0.129 | 2.274 | 0.218 | 0.294 | 0.000 | 0.302 | 10.633 |