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 | C | A | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 211 | 287 | 413 | 0 | 328 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.42 | 2.04 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.036 | 4.721 | 16.442 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 182 | 252 | 405 | 0 | 278 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.43 | 2.30 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.975 | 2.493 | 13.238 | 0.000 | 0.109 | 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 | 149 | 159 | 242 | 257 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.62 | 1.72 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.809 | 2.362 | 10.570 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 98 | 188 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.27 | 2.44 | 0.00 | 1.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 1.473 | 4.952 | 0.000 | 0.098 | 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 | 149 | 159 | 239 | 257 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.60 | 1.72 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.810 | 2.558 | 7.064 | 0.000 | 0.098 | 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 | 152 | 158 | 260 | 257 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.71 | 1.69 | 0.00 | 1.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.814 | 2.281 | 7.187 | 0.000 | 0.121 | 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 | 178 | 187 | 257 | 270 | 0 | 287 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.44 | 1.52 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.957 | 2.924 | 8.135 | 0.000 | 0.129 | 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 | 200 | 214 | 271 | 283 | 0 | 297 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.36 | 1.42 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.999 | 3.153 | 7.920 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 262 | 378 | 453 | 0 | 404 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.53 | 1.83 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.327 | 6.220 | 61.116 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 234 | 371 | 555 | 0 | 354 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.68 | 2.51 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.303 | 3.118 | 57.491 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 210 | 274 | 268 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.41 | 1.37 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.111 | 5.972 | 55.448 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 210 | 371 | 270 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.90 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.113 | 2.899 | 57.171 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 210 | 371 | 270 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.90 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.104 | 2.920 | 7.543 | 0.000 | 0.104 | 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 | 195 | 210 | 272 | 270 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.39 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.104 | 6.515 | 7.914 | 0.000 | 0.109 | 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 | 195 | 210 | 386 | 270 | 0 | 353 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.98 | 1.38 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.132 | 3.295 | 8.131 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 238 | 285 | 283 | 0 | 363 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.29 | 1.28 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.316 | 3.874 | 9.151 | 0.000 | 0.114 | 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 | 247 | 266 | 297 | 296 | 0 | 373 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.20 | 1.20 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.332 | 4.512 | 9.508 | 0.000 | 0.130 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 115 | 108 | 213 | 1264 | 356 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.93 | 1.84 | 10.90 | 3.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.533 | 0.395 | 1.644 | 0.439 | 0.293 | 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 | 72 | 72 | 75 | 183 | 662 | 302 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 2.54 | 9.19 | 4.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.371 | 0.232 | 1.707 | 0.394 | 0.306 | 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 | 37 | 37 | 54 | 143 | 241 | 189 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.46 | 3.86 | 6.51 | 5.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.241 | 0.124 | 1.849 | 0.376 | 0.297 | 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 | 36 | 36 | 39 | 41 | 20 | 49 | 0 | 0 | 53 |
N.S. |
1 | 1.00 | 1.08 | 1.14 | 0.56 | 1.36 | 0.00 | 0.00 | 1.47 |
time (sec) |
N/A | 0.232 | 0.098 | 1.210 | 0.347 | 0.279 | 0.000 | 0.000 | 0.513 |
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 | 77 | 77 | 49 | 51 | 113 | 66 | 0 | 0 | 69 |
N.S. |
1 | 1.00 | 0.64 | 0.66 | 1.47 | 0.86 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.380 | 0.166 | 1.210 | 0.369 | 0.281 | 0.000 | 0.000 | 13.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 120 | 61 | 67 | 203 | 78 | 0 | 0 | 82 |
N.S. |
1 | 1.04 | 0.53 | 0.58 | 1.77 | 0.68 | 0.00 | 0.00 | 0.71 |
time (sec) |
N/A | 0.524 | 0.202 | 1.222 | 0.390 | 0.282 | 0.000 | 0.000 | 14.259 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 163 | 71 | 72 | 293 | 88 | 0 | 0 | 93 |
N.S. |
1 | 1.07 | 0.46 | 0.47 | 1.92 | 0.58 | 0.00 | 0.00 | 0.61 |
time (sec) |
N/A | 0.692 | 0.265 | 1.330 | 0.375 | 0.296 | 0.000 | 0.000 | 14.859 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 161 | 136 | 236 | 2361 | 400 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.85 | 1.48 | 14.76 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.722 | 0.522 | 1.803 | 0.494 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 118 | 110 | 206 | 2244 | 370 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.92 | 1.72 | 18.70 | 3.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.547 | 0.491 | 1.570 | 0.452 | 0.293 | 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 | 75 | 75 | 75 | 174 | 1143 | 310 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.32 | 15.24 | 4.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.390 | 0.307 | 1.636 | 0.392 | 0.300 | 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 | 76 | 76 | 86 | 157 | 274 | 307 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.13 | 2.07 | 3.61 | 4.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 0.355 | 1.572 | 0.380 | 0.305 | 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 | 79 | 79 | 50 | 52 | 38 | 69 | 0 | 0 | 70 |
N.S. |
1 | 1.00 | 0.63 | 0.66 | 0.48 | 0.87 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.368 | 0.237 | 1.201 | 0.366 | 0.293 | 0.000 | 0.000 | 14.368 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 121 | 60 | 66 | 210 | 80 | 0 | 0 | 81 |
N.S. |
1 | 1.04 | 0.52 | 0.57 | 1.81 | 0.69 | 0.00 | 0.00 | 0.70 |
time (sec) |
N/A | 0.543 | 0.295 | 1.284 | 0.370 | 0.276 | 0.000 | 0.000 | 14.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 166 | 72 | 73 | 303 | 92 | 0 | 0 | 94 |
N.S. |
1 | 1.03 | 0.45 | 0.45 | 1.88 | 0.57 | 0.00 | 0.00 | 0.58 |
time (sec) |
N/A | 0.711 | 0.383 | 1.247 | 0.402 | 0.290 | 0.000 | 0.000 | 14.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 209 | 80 | 83 | 396 | 103 | 0 | 0 | 105 |
N.S. |
1 | 1.04 | 0.40 | 0.41 | 1.97 | 0.51 | 0.00 | 0.00 | 0.52 |
time (sec) |
N/A | 0.982 | 0.554 | 1.208 | 0.378 | 0.268 | 0.000 | 0.000 | 15.704 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 207 | 162 | 260 | 3860 | 446 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.81 | 1.30 | 19.30 | 2.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.971 | 0.759 | 63.247 | 0.635 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 164 | 136 | 230 | 3469 | 420 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.85 | 1.44 | 21.68 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.764 | 0.545 | 1.881 | 0.554 | 0.300 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 122 | 106 | 198 | 2826 | 386 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.88 | 1.65 | 23.55 | 3.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 0.476 | 1.814 | 3.178 | 0.293 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 119 | 91 | 300 | 11494 | 346 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.81 | 2.68 | 102.62 | 3.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.591 | 0.685 | 1.659 | 0.486 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 122 | 103 | 300 | 593 | 364 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.87 | 2.54 | 5.03 | 3.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 0.442 | 1.823 | 0.413 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 123 | 64 | 70 | 60 | 87 | 0 | 0 | 85 |
N.S. |
1 | 1.03 | 0.54 | 0.59 | 0.50 | 0.73 | 0.00 | 0.00 | 0.71 |
time (sec) |
N/A | 0.535 | 0.320 | 1.406 | 0.358 | 0.281 | 0.000 | 0.000 | 14.734 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 165 | 74 | 75 | 323 | 100 | 0 | 0 | 96 |
N.S. |
1 | 1.06 | 0.47 | 0.48 | 2.07 | 0.64 | 0.00 | 0.00 | 0.62 |
time (sec) |
N/A | 0.722 | 0.379 | 1.494 | 0.377 | 0.283 | 0.000 | 0.000 | 14.767 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 212 | 80 | 85 | 422 | 113 | 0 | 0 | 107 |
N.S. |
1 | 1.05 | 0.40 | 0.42 | 2.10 | 0.56 | 0.00 | 0.00 | 0.53 |
time (sec) |
N/A | 0.982 | 0.595 | 1.253 | 0.392 | 0.278 | 0.000 | 0.000 | 15.741 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 241 | 255 | 90 | 95 | 521 | 126 | 0 | 0 | 356 |
N.S. |
1 | 1.06 | 0.37 | 0.39 | 2.16 | 0.52 | 0.00 | 0.00 | 1.48 |
time (sec) |
N/A | 1.225 | 0.401 | 1.190 | 0.398 | 0.290 | 0.000 | 0.000 | 19.515 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 51 | 0 | 121 | 50 | 0 | 0 | 55 |
N.S. |
1 | 1.00 | 1.34 | 0.00 | 3.18 | 1.32 | 0.00 | 0.00 | 1.45 |
time (sec) |
N/A | 0.240 | 0.530 | 0.000 | 0.300 | 0.291 | 0.000 | 0.000 | 0.757 |
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 | 37 | 37 | 54 | 141 | 241 | 189 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.46 | 3.81 | 6.51 | 5.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.237 | 0.155 | 1.820 | 0.372 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 55 | 130 | 353 | 215 | 0 | 98 | 0 |
N.S. |
1 | 1.00 | 1.45 | 3.42 | 9.29 | 5.66 | 0.00 | 2.58 | 0.00 |
time (sec) |
N/A | 0.256 | 0.227 | 1.721 | 0.408 | 0.296 | 0.000 | 0.662 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 137 | 125 | 235 | 876 | 481 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.98 | 1.84 | 6.84 | 3.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.733 | 0.268 | 1.717 | 0.406 | 0.306 | 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 | 95 | 95 | 89 | 187 | 476 | 351 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.97 | 5.01 | 3.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.499 | 0.100 | 1.864 | 0.410 | 0.284 | 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 | 56 | 56 | 75 | 98 | 90 | 160 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.34 | 1.75 | 1.61 | 2.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.059 | 1.256 | 0.347 | 0.278 | 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 | 93 | 93 | 102 | 100 | 104 | 281 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 1.08 | 1.12 | 3.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.382 | 0.208 | 1.085 | 0.372 | 0.288 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 139 | 120 | 172 | 282 | 318 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.92 | 1.31 | 2.15 | 2.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.604 | 0.266 | 1.339 | 0.390 | 0.320 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 187 | 117 | 194 | 357 | 342 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.69 | 1.15 | 2.11 | 2.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.900 | 1.159 | 1.418 | 0.436 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 182 | 252 | 420 | 4934 | 579 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.45 | 2.41 | 28.36 | 3.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.023 | 0.626 | 1.893 | 0.671 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 134 | 140 | 220 | 361 | 2122 | 559 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.64 | 2.69 | 15.84 | 4.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.748 | 0.533 | 1.760 | 0.443 | 0.314 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 220 | 170 | 15721 | 338 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.27 | 1.75 | 162.07 | 3.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.393 | 0.517 | 1.281 | 0.887 | 0.285 | 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 | 97 | 97 | 120 | 170 | 1031 | 340 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.24 | 1.75 | 10.63 | 3.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 0.179 | 1.392 | 0.517 | 0.309 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 139 | 145 | 201 | 7176 | 378 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.06 | 1.47 | 52.38 | 2.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.626 | 0.502 | 1.434 | 0.492 | 0.308 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 187 | 150 | 247 | 33960 | 398 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.85 | 1.40 | 191.86 | 2.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.894 | 0.975 | 1.290 | 0.928 | 0.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 235 | 163 | 263 | 0 | 418 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.75 | 1.21 | 0.00 | 1.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.164 | 1.351 | 1.469 | 0.000 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 214 | 230 | 340 | 669 | 9048 | 667 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.59 | 3.13 | 42.28 | 3.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.368 | 1.301 | 1.845 | 2.721 | 0.351 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 174 | 186 | 308 | 410 | 4988 | 665 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.77 | 2.36 | 28.67 | 3.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.025 | 0.710 | 1.626 | 0.600 | 0.338 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 142 | 308 | 304 | 84332 | 426 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 2.25 | 2.22 | 615.56 | 3.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.561 | 0.708 | 1.255 | 14.466 | 0.317 | 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 | 137 | 142 | 204 | 304 | 2875 | 422 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.49 | 2.22 | 20.99 | 3.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.569 | 3.411 | 1.343 | 0.574 | 0.302 | 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 | 137 | 143 | 146 | 277 | 3049 | 426 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.07 | 2.02 | 22.26 | 3.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.629 | 1.004 | 1.474 | 0.635 | 0.289 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 177 | 187 | 186 | 223 | 258456 | 446 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.05 | 1.26 | 1460.20 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.891 | 1.394 | 1.439 | 2.872 | 0.309 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 217 | 235 | 165 | 361 | 148823 | 466 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.76 | 1.66 | 685.82 | 2.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.183 | 2.651 | 1.395 | 2.746 | 0.321 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 132 | 140 | 262 | 1643 | 337 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.11 | 2.08 | 13.04 | 2.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.817 | 0.435 | 1.631 | 0.439 | 0.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 91 | 111 | 231 | 873 | 297 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.31 | 2.72 | 10.27 | 3.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.602 | 0.357 | 1.513 | 0.456 | 0.291 | 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 | 54 | 54 | 76 | 182 | 473 | 223 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.41 | 3.37 | 8.76 | 4.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.406 | 0.106 | 1.719 | 0.429 | 0.286 | 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 | 27 | 27 | 40 | 93 | 87 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.48 | 3.44 | 3.22 | 3.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.032 | 1.290 | 0.392 | 0.282 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 90 | 95 | 101 | 144 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.45 | 1.53 | 1.63 | 2.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.328 | 0.299 | 0.967 | 0.380 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 102 | 118 | 167 | 279 | 163 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.20 | 1.70 | 2.85 | 1.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.522 | 0.246 | 1.138 | 0.407 | 0.283 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 142 | 122 | 189 | 354 | 174 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.91 | 1.41 | 2.64 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.724 | 0.299 | 1.274 | 0.517 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 325 | 337 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.407 | 0.254 | 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 | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.349 | 0.143 | 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 | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 326 | 343 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.381 | 0.159 | 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 | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 716 | 708 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.649 | 0.232 | 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 | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 673 | 668 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.606 | 0.214 | 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 | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 624 | 628 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.596 | 0.145 | 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 | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 662 | 672 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.625 | 0.158 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 715 | 717 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.640 | 0.187 | 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 | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 760 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.437 | 7.123 | 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 | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 749 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 9.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.430 | 7.804 | 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 | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 64 | 3346 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 44.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.455 | 19.018 | 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 | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 72 | 585 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 7.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.464 | 7.845 | 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 | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 1982 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 25.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.404 | 23.473 | 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 | C | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 1965 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 24.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.385 | 27.271 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 327 | 79 | 274 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.24 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.395 | 9.274 | 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 | C | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 2325 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 29.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.424 | 39.455 | 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 | 304 | 305 | 208 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.402 | 5.718 | 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 | 230 | 239 | 165 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.926 | 1.500 | 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 | 172 | 175 | 135 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.754 | 0.737 | 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 | 132 | 132 | 106 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.413 | 0.144 | 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 | 174 | 183 | 140 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.634 | 0.799 | 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 | 217 | 221 | 192 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.962 | 1.831 | 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 | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 162 | 157 | 398 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 2.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.653 | 31.828 | 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 | 98 | 98 | 83 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.431 | 0.449 | 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 | 45 | 45 | 45 | 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 | 0.238 | 0.041 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 2938 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 49.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.295 | 15.801 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 2990 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 48.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 16.378 | 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 | 117 | 117 | 85 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.444 | 0.503 | 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 | 64 | 64 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.237 | 0.061 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |