Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 164 | 206 | 323 | 429 | 0 | 317 | 150 |
N.S. |
1 | 1.00 | 0.49 | 0.61 | 0.96 | 1.28 | 0.00 | 0.94 | 0.45 |
time (sec) |
N/A | 0.223 | 0.475 | 2.270 | 0.292 | 0.280 | 0.000 | 0.294 | 14.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 164 | 206 | 332 | 428 | 0 | 304 | 150 |
N.S. |
1 | 1.00 | 0.49 | 0.61 | 0.99 | 1.27 | 0.00 | 0.90 | 0.45 |
time (sec) |
N/A | 0.221 | 0.445 | 2.283 | 0.307 | 0.278 | 0.000 | 0.294 | 13.879 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 161 | 206 | 323 | 429 | 0 | 317 | 149 |
N.S. |
1 | 1.00 | 0.48 | 0.61 | 0.96 | 1.28 | 0.00 | 0.95 | 0.44 |
time (sec) |
N/A | 0.221 | 0.396 | 2.235 | 0.287 | 0.284 | 0.000 | 0.313 | 13.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 161 | 206 | 332 | 406 | 0 | 302 | 149 |
N.S. |
1 | 1.00 | 0.48 | 0.61 | 0.99 | 1.21 | 0.00 | 0.90 | 0.44 |
time (sec) |
N/A | 0.218 | 0.385 | 0.260 | 0.297 | 0.268 | 0.000 | 0.328 | 13.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 161 | 212 | 317 | 394 | 0 | 302 | 150 |
N.S. |
1 | 1.00 | 0.48 | 0.63 | 0.95 | 1.18 | 0.00 | 0.90 | 0.45 |
time (sec) |
N/A | 0.223 | 0.297 | 0.275 | 0.295 | 0.271 | 0.000 | 0.290 | 0.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 161 | 209 | 322 | 395 | 0 | 308 | 150 |
N.S. |
1 | 1.00 | 0.48 | 0.62 | 0.96 | 1.18 | 0.00 | 0.92 | 0.45 |
time (sec) |
N/A | 0.223 | 0.275 | 0.286 | 0.282 | 0.292 | 0.000 | 0.285 | 13.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 173 | 217 | 328 | 456 | 0 | 327 | 166 |
N.S. |
1 | 1.00 | 0.49 | 0.62 | 0.93 | 1.30 | 0.00 | 0.93 | 0.47 |
time (sec) |
N/A | 0.250 | 0.503 | 0.334 | 0.284 | 0.297 | 0.000 | 0.300 | 0.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 173 | 222 | 335 | 482 | 0 | 308 | 166 |
N.S. |
1 | 1.00 | 0.49 | 0.63 | 0.95 | 1.37 | 0.00 | 0.88 | 0.47 |
time (sec) |
N/A | 0.251 | 0.499 | 0.383 | 0.288 | 0.273 | 0.000 | 0.287 | 13.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 370 | 370 | 189 | 229 | 350 | 501 | 0 | 349 | 179 |
N.S. |
1 | 1.00 | 0.51 | 0.62 | 0.95 | 1.35 | 0.00 | 0.94 | 0.48 |
time (sec) |
N/A | 0.296 | 0.561 | 0.411 | 0.285 | 0.275 | 0.000 | 0.314 | 13.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 420 | 420 | 227 | 257 | 421 | 571 | 0 | 374 | 248 |
N.S. |
1 | 1.00 | 0.54 | 0.61 | 1.00 | 1.36 | 0.00 | 0.89 | 0.59 |
time (sec) |
N/A | 0.329 | 1.023 | 20.610 | 0.286 | 0.288 | 0.000 | 0.299 | 13.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 216 | 250 | 394 | 566 | 0 | 354 | 231 |
N.S. |
1 | 1.00 | 0.54 | 0.62 | 0.98 | 1.41 | 0.00 | 0.88 | 0.57 |
time (sec) |
N/A | 0.323 | 0.997 | 20.370 | 0.303 | 0.291 | 0.000 | 0.294 | 0.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 216 | 245 | 403 | 537 | 0 | 340 | 231 |
N.S. |
1 | 1.00 | 0.54 | 0.61 | 1.00 | 1.34 | 0.00 | 0.85 | 0.57 |
time (sec) |
N/A | 0.349 | 0.922 | 20.320 | 0.286 | 0.265 | 0.000 | 0.285 | 13.612 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 205 | 235 | 377 | 544 | 0 | 352 | 213 |
N.S. |
1 | 1.00 | 0.53 | 0.61 | 0.98 | 1.41 | 0.00 | 0.91 | 0.55 |
time (sec) |
N/A | 0.314 | 0.962 | 20.292 | 0.285 | 0.277 | 0.000 | 0.288 | 0.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 205 | 240 | 386 | 543 | 0 | 339 | 213 |
N.S. |
1 | 1.00 | 0.53 | 0.62 | 1.00 | 1.41 | 0.00 | 0.88 | 0.55 |
time (sec) |
N/A | 0.279 | 0.986 | 20.052 | 0.295 | 0.279 | 0.000 | 0.313 | 14.219 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 388 | 388 | 205 | 238 | 383 | 567 | 0 | 355 | 210 |
N.S. |
1 | 1.00 | 0.53 | 0.61 | 0.99 | 1.46 | 0.00 | 0.91 | 0.54 |
time (sec) |
N/A | 0.279 | 0.948 | 20.189 | 0.290 | 0.276 | 0.000 | 0.285 | 14.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 388 | 388 | 186 | 238 | 392 | 566 | 0 | 342 | 210 |
N.S. |
1 | 1.00 | 0.48 | 0.61 | 1.01 | 1.46 | 0.00 | 0.88 | 0.54 |
time (sec) |
N/A | 0.285 | 0.751 | 19.939 | 0.298 | 0.259 | 0.000 | 0.285 | 0.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 391 | 391 | 186 | 236 | 385 | 577 | 0 | 355 | 208 |
N.S. |
1 | 1.00 | 0.48 | 0.60 | 0.98 | 1.48 | 0.00 | 0.91 | 0.53 |
time (sec) |
N/A | 0.286 | 0.705 | 19.837 | 0.289 | 0.285 | 0.000 | 0.280 | 14.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 391 | 391 | 186 | 236 | 394 | 576 | 0 | 342 | 208 |
N.S. |
1 | 1.00 | 0.48 | 0.60 | 1.01 | 1.47 | 0.00 | 0.87 | 0.53 |
time (sec) |
N/A | 0.280 | 0.678 | 19.902 | 0.308 | 0.263 | 0.000 | 0.317 | 14.133 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 394 | 394 | 186 | 236 | 385 | 577 | 0 | 355 | 207 |
N.S. |
1 | 1.00 | 0.47 | 0.60 | 0.98 | 1.46 | 0.00 | 0.90 | 0.53 |
time (sec) |
N/A | 0.290 | 0.633 | 20.182 | 0.289 | 0.262 | 0.000 | 0.309 | 0.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 394 | 394 | 186 | 236 | 394 | 576 | 0 | 342 | 207 |
N.S. |
1 | 1.00 | 0.47 | 0.60 | 1.00 | 1.46 | 0.00 | 0.87 | 0.53 |
time (sec) |
N/A | 0.289 | 0.614 | 20.014 | 0.296 | 0.271 | 0.000 | 0.280 | 0.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 389 | 389 | 183 | 238 | 383 | 567 | 0 | 355 | 209 |
N.S. |
1 | 1.00 | 0.47 | 0.61 | 0.98 | 1.46 | 0.00 | 0.91 | 0.54 |
time (sec) |
N/A | 0.289 | 0.503 | 20.136 | 0.294 | 0.275 | 0.000 | 0.303 | 14.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 389 | 389 | 183 | 238 | 392 | 540 | 0 | 340 | 209 |
N.S. |
1 | 1.00 | 0.47 | 0.61 | 1.01 | 1.39 | 0.00 | 0.87 | 0.54 |
time (sec) |
N/A | 0.285 | 0.501 | 0.365 | 0.287 | 0.281 | 0.000 | 0.285 | 0.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 183 | 244 | 377 | 526 | 0 | 340 | 210 |
N.S. |
1 | 1.00 | 0.47 | 0.63 | 0.97 | 1.36 | 0.00 | 0.88 | 0.54 |
time (sec) |
N/A | 0.304 | 0.392 | 0.415 | 0.298 | 0.273 | 0.000 | 0.314 | 14.007 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 183 | 237 | 382 | 537 | 0 | 346 | 210 |
N.S. |
1 | 1.00 | 0.47 | 0.61 | 0.99 | 1.39 | 0.00 | 0.89 | 0.54 |
time (sec) |
N/A | 0.285 | 0.373 | 0.401 | 0.288 | 0.277 | 0.000 | 0.300 | 14.187 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 404 | 404 | 195 | 249 | 388 | 618 | 0 | 365 | 226 |
N.S. |
1 | 1.00 | 0.48 | 0.62 | 0.96 | 1.53 | 0.00 | 0.90 | 0.56 |
time (sec) |
N/A | 0.328 | 0.810 | 0.476 | 0.293 | 0.284 | 0.000 | 0.290 | 0.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 404 | 404 | 195 | 254 | 395 | 644 | 0 | 356 | 226 |
N.S. |
1 | 1.00 | 0.48 | 0.63 | 0.98 | 1.59 | 0.00 | 0.88 | 0.56 |
time (sec) |
N/A | 0.325 | 0.813 | 0.542 | 0.305 | 0.284 | 0.000 | 0.292 | 14.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 422 | 422 | 211 | 261 | 410 | 663 | 0 | 362 | 239 |
N.S. |
1 | 1.00 | 0.50 | 0.62 | 0.97 | 1.57 | 0.00 | 0.86 | 0.57 |
time (sec) |
N/A | 0.369 | 0.810 | 0.577 | 0.416 | 0.289 | 0.000 | 0.289 | 13.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 44 | 39 | 25 | 26 | 0 | 45 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.42 | 0.27 | 0.28 | 0.00 | 0.48 | 0.00 |
time (sec) |
N/A | 0.020 | 0.017 | 0.058 | 0.290 | 0.240 | 0.000 | 0.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 44 | 39 | 25 | 22 | 0 | 42 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.42 | 0.27 | 0.24 | 0.00 | 0.45 | 0.00 |
time (sec) |
N/A | 0.019 | 0.010 | 0.060 | 0.262 | 0.238 | 0.000 | 0.269 | 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 | 93 | 93 | 44 | 39 | 25 | 18 | 0 | 37 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.42 | 0.27 | 0.19 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.019 | 0.010 | 0.023 | 0.242 | 0.251 | 0.000 | 0.271 | 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 | 91 | 91 | 43 | 38 | 24 | 19 | 0 | 40 | 47 |
N.S. |
1 | 1.00 | 0.47 | 0.42 | 0.26 | 0.21 | 0.00 | 0.44 | 0.52 |
time (sec) |
N/A | 0.019 | 0.008 | 0.023 | 0.237 | 0.239 | 0.000 | 0.275 | 13.380 |
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 | 91 | 91 | 44 | 39 | 25 | 22 | 0 | 41 | 52 |
N.S. |
1 | 1.00 | 0.48 | 0.43 | 0.27 | 0.24 | 0.00 | 0.45 | 0.57 |
time (sec) |
N/A | 0.019 | 0.009 | 0.025 | 0.227 | 0.250 | 0.000 | 0.272 | 13.605 |
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 | 91 | 91 | 42 | 37 | 24 | 23 | 0 | 42 | 53 |
N.S. |
1 | 1.00 | 0.46 | 0.41 | 0.26 | 0.25 | 0.00 | 0.46 | 0.58 |
time (sec) |
N/A | 0.018 | 0.009 | 0.026 | 0.214 | 0.244 | 0.000 | 0.280 | 13.611 |
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 | 91 | 91 | 42 | 37 | 25 | 21 | 0 | 44 | 56 |
N.S. |
1 | 1.00 | 0.46 | 0.41 | 0.27 | 0.23 | 0.00 | 0.48 | 0.62 |
time (sec) |
N/A | 0.018 | 0.010 | 0.028 | 0.231 | 0.241 | 0.000 | 0.326 | 13.419 |
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 | 195 | 195 | 66 | 61 | 83 | 54 | 0 | 99 | 0 |
N.S. |
1 | 1.00 | 0.34 | 0.31 | 0.43 | 0.28 | 0.00 | 0.51 | 0.00 |
time (sec) |
N/A | 0.037 | 0.017 | 0.059 | 0.216 | 0.252 | 0.000 | 0.293 | 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 | 195 | 195 | 66 | 61 | 83 | 46 | 0 | 90 | 0 |
N.S. |
1 | 1.00 | 0.34 | 0.31 | 0.43 | 0.24 | 0.00 | 0.46 | 0.00 |
time (sec) |
N/A | 0.034 | 0.016 | 0.065 | 0.204 | 0.244 | 0.000 | 0.265 | 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 | 195 | 195 | 66 | 61 | 83 | 40 | 0 | 85 | 0 |
N.S. |
1 | 1.00 | 0.34 | 0.31 | 0.43 | 0.21 | 0.00 | 0.44 | 0.00 |
time (sec) |
N/A | 0.036 | 0.011 | 0.061 | 0.212 | 0.238 | 0.000 | 0.268 | 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 | 193 | 193 | 66 | 61 | 87 | 42 | 0 | 89 | 76 |
N.S. |
1 | 1.00 | 0.34 | 0.32 | 0.45 | 0.22 | 0.00 | 0.46 | 0.39 |
time (sec) |
N/A | 0.039 | 0.012 | 0.027 | 0.203 | 0.240 | 0.000 | 0.270 | 13.519 |
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 | 191 | 191 | 66 | 61 | 87 | 45 | 0 | 102 | 87 |
N.S. |
1 | 1.00 | 0.35 | 0.32 | 0.46 | 0.24 | 0.00 | 0.53 | 0.46 |
time (sec) |
N/A | 0.035 | 0.013 | 0.038 | 0.221 | 0.248 | 0.000 | 0.298 | 13.648 |
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 | 193 | 193 | 66 | 61 | 86 | 45 | 0 | 105 | 88 |
N.S. |
1 | 1.00 | 0.34 | 0.32 | 0.45 | 0.23 | 0.00 | 0.54 | 0.46 |
time (sec) |
N/A | 0.035 | 0.016 | 0.035 | 0.209 | 0.256 | 0.000 | 0.302 | 13.728 |
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 | 191 | 191 | 66 | 61 | 86 | 45 | 0 | 107 | 91 |
N.S. |
1 | 1.00 | 0.35 | 0.32 | 0.45 | 0.24 | 0.00 | 0.56 | 0.48 |
time (sec) |
N/A | 0.034 | 0.012 | 0.037 | 0.211 | 0.252 | 0.000 | 0.273 | 13.511 |
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 | 297 | 297 | 88 | 83 | 147 | 82 | 0 | 153 | 0 |
N.S. |
1 | 1.00 | 0.30 | 0.28 | 0.49 | 0.28 | 0.00 | 0.52 | 0.00 |
time (sec) |
N/A | 0.053 | 0.041 | 0.070 | 0.201 | 0.241 | 0.000 | 0.282 | 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 | 297 | 297 | 88 | 83 | 147 | 70 | 0 | 138 | 0 |
N.S. |
1 | 1.00 | 0.30 | 0.28 | 0.49 | 0.24 | 0.00 | 0.46 | 0.00 |
time (sec) |
N/A | 0.051 | 0.032 | 0.063 | 0.213 | 0.258 | 0.000 | 0.268 | 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 | 297 | 297 | 88 | 83 | 147 | 62 | 0 | 133 | 0 |
N.S. |
1 | 1.00 | 0.30 | 0.28 | 0.49 | 0.21 | 0.00 | 0.45 | 0.00 |
time (sec) |
N/A | 0.054 | 0.028 | 0.063 | 0.192 | 0.275 | 0.000 | 0.286 | 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 | 293 | 293 | 88 | 83 | 151 | 64 | 0 | 137 | 112 |
N.S. |
1 | 1.00 | 0.30 | 0.28 | 0.52 | 0.22 | 0.00 | 0.47 | 0.38 |
time (sec) |
N/A | 0.054 | 0.027 | 0.032 | 0.205 | 0.274 | 0.000 | 0.291 | 13.742 |
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 | 295 | 295 | 88 | 83 | 151 | 67 | 0 | 156 | 116 |
N.S. |
1 | 1.00 | 0.30 | 0.28 | 0.51 | 0.23 | 0.00 | 0.53 | 0.39 |
time (sec) |
N/A | 0.049 | 0.033 | 0.034 | 0.200 | 0.250 | 0.000 | 0.299 | 13.602 |
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 | 293 | 293 | 88 | 83 | 151 | 67 | 0 | 159 | 116 |
N.S. |
1 | 1.00 | 0.30 | 0.28 | 0.52 | 0.23 | 0.00 | 0.54 | 0.40 |
time (sec) |
N/A | 0.051 | 0.034 | 0.035 | 0.212 | 0.275 | 0.000 | 0.278 | 13.601 |
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 | 295 | 295 | 88 | 83 | 150 | 67 | 0 | 162 | 118 |
N.S. |
1 | 1.00 | 0.30 | 0.28 | 0.51 | 0.23 | 0.00 | 0.55 | 0.40 |
time (sec) |
N/A | 0.052 | 0.041 | 0.039 | 0.207 | 0.275 | 0.000 | 0.275 | 13.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 457 | 457 | 163 | 208 | 266 | 219 | 0 | 273 | 0 |
N.S. |
1 | 1.00 | 0.36 | 0.46 | 0.58 | 0.48 | 0.00 | 0.60 | 0.00 |
time (sec) |
N/A | 0.206 | 0.054 | 0.261 | 0.287 | 0.287 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 412 | 412 | 151 | 200 | 241 | 208 | 0 | 254 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.49 | 0.58 | 0.50 | 0.00 | 0.62 | 0.00 |
time (sec) |
N/A | 0.190 | 0.038 | 0.139 | 0.280 | 0.293 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 410 | 410 | 150 | 195 | 250 | 160 | 0 | 238 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.48 | 0.61 | 0.39 | 0.00 | 0.58 | 0.00 |
time (sec) |
N/A | 0.188 | 0.028 | 0.133 | 0.299 | 0.287 | 0.000 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 123 | 183 | 216 | 172 | 0 | 242 | 0 |
N.S. |
1 | 1.00 | 0.33 | 0.50 | 0.59 | 0.47 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.161 | 0.016 | 0.130 | 0.286 | 0.298 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 125 | 185 | 226 | 156 | 0 | 251 | 0 |
N.S. |
1 | 1.00 | 0.34 | 0.50 | 0.61 | 0.42 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.162 | 0.020 | 0.253 | 0.288 | 0.258 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 412 | 412 | 150 | 196 | 234 | 201 | 0 | 264 | 0 |
N.S. |
1 | 1.00 | 0.36 | 0.48 | 0.57 | 0.49 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.186 | 0.027 | 0.111 | 0.279 | 0.262 | 0.000 | 0.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 414 | 414 | 152 | 200 | 242 | 226 | 0 | 256 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.48 | 0.58 | 0.55 | 0.00 | 0.62 | 0.00 |
time (sec) |
N/A | 0.181 | 0.029 | 0.118 | 0.285 | 0.259 | 0.000 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 459 | 459 | 160 | 208 | 259 | 252 | 0 | 284 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.45 | 0.56 | 0.55 | 0.00 | 0.62 | 0.00 |
time (sec) |
N/A | 0.219 | 0.045 | 0.134 | 0.287 | 0.269 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 551 | 551 | 206 | 256 | 0 | 364 | 0 | 377 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.46 | 0.00 | 0.66 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.259 | 0.399 | 0.089 | 0.000 | 0.272 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 504 | 504 | 195 | 244 | 0 | 359 | 0 | 357 | 0 |
N.S. |
1 | 1.00 | 0.39 | 0.48 | 0.00 | 0.71 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.242 | 0.385 | 0.085 | 0.000 | 0.269 | 0.000 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 504 | 504 | 195 | 244 | 0 | 330 | 0 | 343 | 0 |
N.S. |
1 | 1.00 | 0.39 | 0.48 | 0.00 | 0.65 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.242 | 0.372 | 0.085 | 0.000 | 0.266 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 458 | 458 | 184 | 612 | 0 | 337 | 0 | 345 | 0 |
N.S. |
1 | 1.00 | 0.40 | 1.34 | 0.00 | 0.74 | 0.00 | 0.75 | 0.00 |
time (sec) |
N/A | 0.216 | 0.375 | 0.047 | 0.000 | 0.273 | 0.000 | 0.313 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 458 | 458 | 184 | 675 | 279 | 336 | 0 | 332 | 0 |
N.S. |
1 | 1.00 | 0.40 | 1.47 | 0.61 | 0.73 | 0.00 | 0.72 | 0.00 |
time (sec) |
N/A | 0.210 | 0.056 | 0.045 | 0.303 | 0.272 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 459 | 459 | 179 | 617 | 272 | 350 | 0 | 348 | 0 |
N.S. |
1 | 1.00 | 0.39 | 1.34 | 0.59 | 0.76 | 0.00 | 0.76 | 0.00 |
time (sec) |
N/A | 0.215 | 0.070 | 0.043 | 0.300 | 0.276 | 0.000 | 0.304 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 459 | 459 | 180 | 677 | 281 | 328 | 0 | 332 | 0 |
N.S. |
1 | 1.00 | 0.39 | 1.47 | 0.61 | 0.71 | 0.00 | 0.72 | 0.00 |
time (sec) |
N/A | 0.220 | 0.052 | 0.041 | 0.306 | 0.266 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 181 | 617 | 265 | 328 | 0 | 333 | 0 |
N.S. |
1 | 1.00 | 0.39 | 1.34 | 0.58 | 0.71 | 0.00 | 0.72 | 0.00 |
time (sec) |
N/A | 0.223 | 0.056 | 0.041 | 0.294 | 0.269 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 181 | 647 | 0 | 324 | 0 | 339 | 0 |
N.S. |
1 | 1.00 | 0.39 | 1.41 | 0.00 | 0.70 | 0.00 | 0.74 | 0.00 |
time (sec) |
N/A | 0.243 | 0.048 | 0.037 | 0.000 | 0.262 | 0.000 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 506 | 506 | 193 | 241 | 0 | 375 | 0 | 368 | 0 |
N.S. |
1 | 1.00 | 0.38 | 0.48 | 0.00 | 0.74 | 0.00 | 0.73 | 0.00 |
time (sec) |
N/A | 0.280 | 0.062 | 0.087 | 0.000 | 0.282 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 506 | 506 | 193 | 246 | 0 | 401 | 0 | 359 | 0 |
N.S. |
1 | 1.00 | 0.38 | 0.49 | 0.00 | 0.79 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.248 | 0.065 | 0.088 | 0.000 | 0.278 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 553 | 553 | 204 | 253 | 0 | 420 | 0 | 390 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.46 | 0.00 | 0.76 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.280 | 0.073 | 0.108 | 0.000 | 0.287 | 0.000 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 647 | 647 | 229 | 288 | 0 | 502 | 0 | 415 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.45 | 0.00 | 0.78 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.329 | 0.815 | 0.108 | 0.000 | 0.269 | 0.000 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 600 | 600 | 218 | 276 | 0 | 497 | 0 | 395 | 0 |
N.S. |
1 | 1.00 | 0.36 | 0.46 | 0.00 | 0.83 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.299 | 0.789 | 0.104 | 0.000 | 0.264 | 0.000 | 0.318 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 600 | 600 | 218 | 276 | 0 | 468 | 0 | 381 | 0 |
N.S. |
1 | 1.00 | 0.36 | 0.46 | 0.00 | 0.78 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.306 | 0.727 | 0.102 | 0.000 | 0.279 | 0.000 | 0.317 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 554 | 554 | 207 | 1046 | 0 | 475 | 0 | 383 | 0 |
N.S. |
1 | 1.00 | 0.37 | 1.89 | 0.00 | 0.86 | 0.00 | 0.69 | 0.00 |
time (sec) |
N/A | 0.284 | 0.734 | 0.051 | 0.000 | 0.264 | 0.000 | 0.351 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 554 | 554 | 201 | 1149 | 583 | 474 | 0 | 370 | 0 |
N.S. |
1 | 1.00 | 0.36 | 2.07 | 1.05 | 0.86 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.278 | 0.629 | 0.049 | 0.335 | 0.262 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 201 | 1051 | 577 | 498 | 0 | 386 | 0 |
N.S. |
1 | 1.00 | 0.36 | 1.89 | 1.04 | 0.89 | 0.00 | 0.69 | 0.00 |
time (sec) |
N/A | 0.271 | 0.619 | 0.049 | 0.328 | 0.280 | 0.000 | 0.316 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 202 | 1151 | 595 | 497 | 0 | 373 | 0 |
N.S. |
1 | 1.00 | 0.36 | 2.07 | 1.07 | 0.89 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.272 | 0.627 | 0.047 | 0.322 | 0.262 | 0.000 | 0.309 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 560 | 560 | 201 | 1051 | 584 | 508 | 0 | 386 | 0 |
N.S. |
1 | 1.00 | 0.36 | 1.88 | 1.04 | 0.91 | 0.00 | 0.69 | 0.00 |
time (sec) |
N/A | 0.289 | 0.573 | 0.050 | 0.325 | 0.265 | 0.000 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 560 | 560 | 201 | 1151 | 597 | 507 | 0 | 373 | 0 |
N.S. |
1 | 1.00 | 0.36 | 2.06 | 1.07 | 0.91 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.275 | 0.532 | 0.048 | 0.327 | 0.266 | 0.000 | 0.342 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 201 | 1051 | 582 | 498 | 0 | 386 | 0 |
N.S. |
1 | 1.00 | 0.36 | 1.89 | 1.04 | 0.89 | 0.00 | 0.69 | 0.00 |
time (sec) |
N/A | 0.275 | 0.503 | 0.049 | 0.326 | 0.262 | 0.000 | 0.309 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 201 | 1151 | 586 | 473 | 0 | 371 | 0 |
N.S. |
1 | 1.00 | 0.36 | 2.07 | 1.05 | 0.85 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.278 | 0.527 | 0.054 | 0.327 | 0.267 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 556 | 556 | 201 | 1051 | 569 | 460 | 0 | 371 | 0 |
N.S. |
1 | 1.00 | 0.36 | 1.89 | 1.02 | 0.83 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.291 | 0.337 | 0.049 | 0.324 | 0.269 | 0.000 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 556 | 556 | 201 | 1148 | 0 | 466 | 0 | 377 | 0 |
N.S. |
1 | 1.00 | 0.36 | 2.06 | 0.00 | 0.84 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.288 | 0.332 | 0.046 | 0.000 | 0.277 | 0.000 | 0.331 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 602 | 602 | 213 | 273 | 0 | 537 | 0 | 406 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.45 | 0.00 | 0.89 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.336 | 0.633 | 0.103 | 0.000 | 0.271 | 0.000 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 602 | 602 | 213 | 278 | 0 | 563 | 0 | 397 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.46 | 0.00 | 0.94 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.324 | 0.629 | 0.102 | 0.000 | 0.277 | 0.000 | 0.337 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 649 | 649 | 224 | 285 | 0 | 582 | 0 | 428 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.44 | 0.00 | 0.90 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.364 | 0.639 | 0.110 | 0.000 | 0.283 | 0.000 | 0.330 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 105 | 602 | 144 | 507 | 3104 | 847 | 540 |
N.S. |
1 | 1.00 | 0.70 | 4.01 | 0.96 | 3.38 | 20.69 | 5.65 | 3.60 |
time (sec) |
N/A | 0.084 | 0.203 | 0.346 | 0.222 | 0.258 | 0.835 | 0.320 | 13.393 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 73 | 292 | 100 | 253 | 1278 | 415 | 263 |
N.S. |
1 | 1.00 | 0.70 | 2.81 | 0.96 | 2.43 | 12.29 | 3.99 | 2.53 |
time (sec) |
N/A | 0.052 | 0.029 | 0.128 | 0.200 | 0.258 | 0.498 | 0.314 | 13.057 |
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 | 58 | 58 | 41 | 57 | 56 | 87 | 330 | 135 | 95 |
N.S. |
1 | 1.00 | 0.71 | 0.98 | 0.97 | 1.50 | 5.69 | 2.33 | 1.64 |
time (sec) |
N/A | 0.015 | 0.023 | 0.057 | 0.204 | 0.255 | 0.304 | 0.295 | 13.060 |
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 | 44 | 44 | 42 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.010 | 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 | 44 | 44 | 42 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.025 | 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 | 44 | 44 | 42 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 111 | 453 | 243 | 369 | 0 | 900 | 0 |
N.S. |
1 | 1.00 | 0.35 | 1.45 | 0.78 | 1.18 | 0.00 | 2.88 | 0.00 |
time (sec) |
N/A | 0.082 | 0.062 | 0.039 | 0.217 | 0.257 | 0.000 | 0.347 | 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 | 205 | 205 | 131 | 199 | 119 | 159 | 0 | 384 | 0 |
N.S. |
1 | 1.00 | 0.64 | 0.97 | 0.58 | 0.78 | 0.00 | 1.87 | 0.00 |
time (sec) |
N/A | 0.053 | 0.053 | 0.026 | 0.205 | 0.262 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 53 | 56 | 35 | 35 | 0 | 83 | 0 |
N.S. |
1 | 1.00 | 0.55 | 0.58 | 0.36 | 0.36 | 0.00 | 0.86 | 0.00 |
time (sec) |
N/A | 0.024 | 0.019 | 0.021 | 0.192 | 0.262 | 0.000 | 0.296 | 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 | 73 | 73 | 62 | 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 | 0.022 | 0.018 | 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 | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.024 | 0.018 | 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 | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.022 | 0.037 | 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 | 74 | 77 | 66 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.017 | 0.031 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 110 | 150 | 115 | 163 | 0 | 375 | 206 |
N.S. |
1 | 1.00 | 0.63 | 0.86 | 0.66 | 0.94 | 0.00 | 2.16 | 1.18 |
time (sec) |
N/A | 0.077 | 0.070 | 0.148 | 0.205 | 0.262 | 0.000 | 0.311 | 13.077 |
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 | 130 | 130 | 77 | 96 | 79 | 108 | 0 | 235 | 137 |
N.S. |
1 | 1.00 | 0.59 | 0.74 | 0.61 | 0.83 | 0.00 | 1.81 | 1.05 |
time (sec) |
N/A | 0.055 | 0.052 | 0.102 | 0.223 | 0.249 | 0.000 | 0.313 | 12.954 |
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 | 84 | 84 | 51 | 58 | 54 | 70 | 0 | 132 | 85 |
N.S. |
1 | 1.00 | 0.61 | 0.69 | 0.64 | 0.83 | 0.00 | 1.57 | 1.01 |
time (sec) |
N/A | 0.039 | 0.042 | 0.066 | 0.204 | 0.249 | 0.000 | 0.307 | 12.910 |