Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 172 | 176 | 175 | 175 | 236 | 218 | 182 |
N.S. |
1 | 1.00 | 1.00 | 1.02 | 1.02 | 1.02 | 1.37 | 1.27 | 1.06 |
time (sec) |
N/A | 0.378 | 0.058 | 4.084 | 0.227 | 0.288 | 0.033 | 0.287 | 0.105 |
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 | 130 | 130 | 130 | 135 | 134 | 134 | 173 | 165 | 143 |
N.S. |
1 | 1.00 | 1.00 | 1.04 | 1.03 | 1.03 | 1.33 | 1.27 | 1.10 |
time (sec) |
N/A | 0.319 | 0.043 | 3.295 | 0.196 | 0.270 | 0.028 | 0.285 | 5.171 |
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 | 94 | 94 | 96 | 94 | 93 | 93 | 121 | 114 | 99 |
N.S. |
1 | 1.00 | 1.02 | 1.00 | 0.99 | 0.99 | 1.29 | 1.21 | 1.05 |
time (sec) |
N/A | 0.257 | 0.025 | 3.378 | 0.299 | 0.273 | 0.024 | 0.280 | 0.048 |
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 | 56 | 53 | 52 | 52 | 63 | 62 | 54 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.93 | 0.93 | 1.12 | 1.11 | 0.96 |
time (sec) |
N/A | 0.201 | 0.009 | 0.183 | 0.252 | 0.271 | 0.020 | 0.285 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 87 | 72 | 74 | 0 | 191 | 206 | 82 | 108 |
N.S. |
1 | 1.07 | 0.89 | 0.91 | 0.00 | 2.36 | 2.54 | 1.01 | 1.33 |
time (sec) |
N/A | 0.226 | 0.036 | 3.279 | 0.000 | 0.291 | 0.315 | 0.300 | 0.118 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 111 | 95 | 97 | 0 | 318 | 190 | 103 | 95 |
N.S. |
1 | 1.03 | 0.88 | 0.90 | 0.00 | 2.94 | 1.76 | 0.95 | 0.88 |
time (sec) |
N/A | 0.238 | 0.044 | 3.272 | 0.000 | 0.292 | 0.685 | 0.285 | 0.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 141 | 130 | 132 | 0 | 471 | 246 | 142 | 136 |
N.S. |
1 | 1.08 | 1.00 | 1.02 | 0.00 | 3.62 | 1.89 | 1.09 | 1.05 |
time (sec) |
N/A | 0.272 | 0.053 | 3.270 | 0.000 | 0.314 | 1.389 | 0.303 | 5.463 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 168 | 171 | 163 | 0 | 642 | 313 | 195 | 176 |
N.S. |
1 | 0.98 | 1.00 | 0.95 | 0.00 | 3.75 | 1.83 | 1.14 | 1.03 |
time (sec) |
N/A | 0.297 | 0.067 | 3.295 | 0.000 | 0.290 | 2.979 | 0.280 | 0.194 |
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 | 226 | 226 | 226 | 237 | 236 | 236 | 304 | 289 | 233 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 1.04 | 1.04 | 1.35 | 1.28 | 1.03 |
time (sec) |
N/A | 0.446 | 0.056 | 3.304 | 0.193 | 0.257 | 0.035 | 0.290 | 5.470 |
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 | 158 | 158 | 158 | 169 | 168 | 168 | 216 | 202 | 158 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.06 | 1.06 | 1.37 | 1.28 | 1.00 |
time (sec) |
N/A | 0.362 | 0.038 | 3.426 | 0.202 | 0.249 | 0.031 | 0.295 | 0.073 |
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 | 94 | 94 | 96 | 100 | 100 | 100 | 121 | 114 | 99 |
N.S. |
1 | 1.00 | 1.02 | 1.06 | 1.06 | 1.06 | 1.29 | 1.21 | 1.05 |
time (sec) |
N/A | 0.272 | 0.021 | 3.306 | 0.202 | 0.250 | 0.024 | 0.292 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 156 | 115 | 170 | 0 | 366 | 347 | 182 | 203 |
N.S. |
1 | 1.10 | 0.81 | 1.20 | 0.00 | 2.58 | 2.44 | 1.28 | 1.43 |
time (sec) |
N/A | 0.384 | 0.041 | 3.303 | 0.000 | 0.273 | 0.523 | 0.287 | 5.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 172 | 134 | 182 | 0 | 552 | 483 | 203 | 257 |
N.S. |
1 | 1.05 | 0.82 | 1.11 | 0.00 | 3.37 | 2.95 | 1.24 | 1.57 |
time (sec) |
N/A | 0.388 | 0.063 | 3.314 | 0.000 | 0.296 | 1.278 | 0.293 | 0.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 221 | 183 | 230 | 0 | 777 | 400 | 252 | 243 |
N.S. |
1 | 1.07 | 0.88 | 1.11 | 0.00 | 3.75 | 1.93 | 1.22 | 1.17 |
time (sec) |
N/A | 0.398 | 0.081 | 3.282 | 0.000 | 0.280 | 6.092 | 0.317 | 5.450 |
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 | 240 | 262 | 242 | 289 | 0 | 1024 | 0 | 330 | 303 |
N.S. |
1 | 1.09 | 1.01 | 1.20 | 0.00 | 4.27 | 0.00 | 1.38 | 1.26 |
time (sec) |
N/A | 0.463 | 0.097 | 3.313 | 0.000 | 0.274 | 0.000 | 0.293 | 5.390 |
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 | 310 | 310 | 310 | 339 | 326 | 326 | 423 | 409 | 335 |
N.S. |
1 | 1.00 | 1.00 | 1.09 | 1.05 | 1.05 | 1.36 | 1.32 | 1.08 |
time (sec) |
N/A | 0.591 | 0.076 | 3.387 | 0.194 | 0.244 | 0.041 | 0.279 | 0.118 |
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 | 226 | 226 | 226 | 244 | 239 | 239 | 304 | 289 | 233 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.06 | 1.06 | 1.35 | 1.28 | 1.03 |
time (sec) |
N/A | 0.443 | 0.057 | 3.275 | 0.216 | 0.327 | 0.045 | 0.298 | 5.181 |
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 | 130 | 130 | 130 | 144 | 146 | 146 | 173 | 165 | 143 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.12 | 1.12 | 1.33 | 1.27 | 1.10 |
time (sec) |
N/A | 0.328 | 0.034 | 3.332 | 0.185 | 0.254 | 0.028 | 0.338 | 5.172 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 249 | 179 | 300 | 0 | 586 | 508 | 313 | 312 |
N.S. |
1 | 1.10 | 0.79 | 1.32 | 0.00 | 2.58 | 2.24 | 1.38 | 1.37 |
time (sec) |
N/A | 0.550 | 0.059 | 3.307 | 0.000 | 0.264 | 0.850 | 0.307 | 5.411 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 255 | 176 | 308 | 0 | 834 | 661 | 334 | 389 |
N.S. |
1 | 1.05 | 0.73 | 1.27 | 0.00 | 3.45 | 2.73 | 1.38 | 1.61 |
time (sec) |
N/A | 0.552 | 0.088 | 3.428 | 0.000 | 0.270 | 2.225 | 0.304 | 5.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 311 | 219 | 344 | 0 | 1102 | 865 | 389 | 495 |
N.S. |
1 | 1.07 | 0.75 | 1.18 | 0.00 | 3.79 | 2.97 | 1.34 | 1.70 |
time (sec) |
N/A | 0.552 | 0.106 | 3.354 | 0.000 | 0.287 | 58.357 | 0.299 | 0.227 |
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 | 348 | 374 | 295 | 417 | 0 | 1422 | 0 | 475 | 444 |
N.S. |
1 | 1.07 | 0.85 | 1.20 | 0.00 | 4.09 | 0.00 | 1.36 | 1.28 |
time (sec) |
N/A | 0.596 | 0.132 | 3.372 | 0.000 | 0.293 | 0.000 | 0.323 | 5.660 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 544 | 481 | 373 | 695 | 0 | 463 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.69 | 1.28 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.729 | 3.132 | 5.006 | 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 | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 381 | 346 | 267 | 431 | 0 | 305 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.70 | 1.13 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 1.602 | 4.441 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 283 | 268 | 212 | 312 | 0 | 191 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.75 | 1.10 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.367 | 1.422 | 5.026 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 260 | 192 | 328 | 0 | 223 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.71 | 1.21 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.357 | 2.513 | 3.328 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 276 | 297 | 518 | 0 | 515 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.08 | 1.89 | 0.00 | 1.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 3.527 | 3.450 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 385 | 404 | 379 | 756 | 0 | 1105 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.98 | 1.96 | 0.00 | 2.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.563 | 3.864 | 3.502 | 0.000 | 0.133 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 543 | 483 | 372 | 695 | 0 | 465 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.69 | 1.28 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.742 | 3.165 | 4.915 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 400 | 0 | 275 | 448 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.69 | 1.12 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.099 | 6.167 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 369 | 339 | 248 | 544 | 0 | 416 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.67 | 1.47 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.502 | 4.841 | 7.384 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 373 | 349 | 296 | 559 | 0 | 561 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.79 | 1.50 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.523 | 5.581 | 4.504 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 376 | 390 | 382 | 749 | 0 | 1040 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.02 | 1.99 | 0.00 | 2.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.568 | 5.997 | 4.566 | 0.000 | 0.138 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 531 | 560 | 545 | 1023 | 0 | 1847 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.03 | 1.93 | 0.00 | 3.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.787 | 6.470 | 4.561 | 0.000 | 0.174 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 551 | 497 | 386 | 691 | 0 | 489 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.70 | 1.25 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.732 | 4.004 | 7.475 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 396 | 363 | 279 | 448 | 0 | 334 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.70 | 1.13 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.531 | 3.086 | 6.117 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 282 | 265 | 215 | 312 | 0 | 201 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.76 | 1.11 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.365 | 1.372 | 5.260 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 206 | 207 | 131 | 158 | 0 | 130 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 0.77 | 0.00 | 0.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.299 | 2.589 | 3.357 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 206 | 334 | 0 | 254 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.60 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.279 | 6.623 | 3.911 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 284 | 297 | 302 | 540 | 0 | 611 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.06 | 1.90 | 0.00 | 2.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.380 | 9.140 | 5.563 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 401 | 432 | 393 | 760 | 0 | 1257 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.98 | 1.90 | 0.00 | 3.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.570 | 10.226 | 6.752 | 0.000 | 0.142 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 501 | 459 | 369 | 794 | 0 | 648 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.74 | 1.58 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.679 | 5.810 | 9.676 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 358 | 340 | 260 | 543 | 0 | 418 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.73 | 1.52 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.500 | 4.875 | 7.410 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 260 | 208 | 378 | 0 | 239 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.81 | 1.47 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.363 | 2.507 | 3.346 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 212 | 349 | 0 | 258 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.67 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 6.870 | 3.906 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 272 | 281 | 262 | 515 | 0 | 618 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.96 | 1.89 | 0.00 | 2.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.385 | 10.501 | 4.985 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 375 | 396 | 428 | 673 | 0 | 1259 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.14 | 1.79 | 0.00 | 3.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.560 | 11.387 | 6.528 | 0.000 | 0.152 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 212 | 349 | 0 | 260 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.67 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 6.628 | 3.912 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 257 | 220 | 349 | 0 | 257 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.89 | 1.41 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.434 | 6.872 | 4.525 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 249 | 213 | 333 | 0 | 254 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.90 | 1.41 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.412 | 6.753 | 4.510 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 255 | 221 | 338 | 0 | 257 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.91 | 1.40 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 6.742 | 4.953 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 192 | 81 | 105 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.42 | 0.55 | 0.00 | 0.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.290 | 2.358 | 3.100 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 262 | 250 | 142 | 282 | 0 | 181 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.54 | 1.08 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.354 | 1.172 | 4.930 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 356 | 328 | 186 | 390 | 0 | 274 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.52 | 1.10 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.448 | 1.223 | 4.852 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 104 | 2538 | 0 | 369 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 22.46 | 0.00 | 3.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.317 | 2.417 | 3.717 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 526 | 557 | 100 | 2477 | 0 | 372 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.19 | 4.71 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.740 | 2.387 | 1.368 | 0.000 | 0.099 | 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 | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 134 | 141 | 115 | 0 | 777 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.10 | 0.90 | 0.00 | 6.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.305 | 0.356 | 1.410 | 0.000 | 0.904 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 304 | 301 | 214 | 191 | 0 | 1718 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.70 | 0.63 | 0.00 | 5.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.532 | 0.544 | 3.571 | 0.000 | 3.868 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 167 | 151 | 132 | 0 | 1111 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.91 | 0.80 | 0.00 | 6.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.310 | 0.297 | 3.457 | 0.000 | 1.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 111 | 76 | 0 | 737 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 0.84 | 0.00 | 8.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 0.231 | 3.349 | 0.000 | 0.788 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 70 | 41 | 0 | 241 | 0 | 70 | 0 |
N.S. |
1 | 1.00 | 1.43 | 0.84 | 0.00 | 4.92 | 0.00 | 1.43 | 0.00 |
time (sec) |
N/A | 0.172 | 0.081 | 3.412 | 0.000 | 0.302 | 0.000 | 0.323 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 153 | 120 | 0 | 1305 | 0 | 165 | 0 |
N.S. |
1 | 1.00 | 1.25 | 0.98 | 0.00 | 10.70 | 0.00 | 1.35 | 0.00 |
time (sec) |
N/A | 0.253 | 0.330 | 3.433 | 0.000 | 61.426 | 0.000 | 0.337 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 201 | 203 | 169 | 0 | 0 | 0 | 458 | 0 |
N.S. |
1 | 0.99 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 2.26 | 0.00 |
time (sec) |
N/A | 0.367 | 15.335 | 3.564 | 0.000 | 0.000 | 0.000 | 4.547 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 608 | 713 | 456 | 657 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.75 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.069 | 5.603 | 8.061 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 400 | 383 | 346 | 845 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.86 | 2.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.556 | 3.985 | 8.397 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 325 | 184 | 340 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.57 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.449 | 1.720 | 3.360 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 143 | 191 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.40 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 1.714 | 3.365 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 347 | 390 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.66 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.305 | 4.002 | 4.353 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 401 | 402 | 427 | 1366 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 3.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.572 | 6.245 | 5.285 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 630 | 641 | 584 | 3138 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.93 | 4.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.893 | 5.802 | 6.956 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 659 | 712 | 445 | 663 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.68 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.051 | 6.650 | 7.950 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 403 | 380 | 739 | 845 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.83 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.535 | 3.644 | 8.258 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 328 | 325 | 184 | 300 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.56 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.441 | 3.232 | 3.457 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 492 | 630 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.20 | 2.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.304 | 6.050 | 3.997 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 391 | 392 | 999 | 1645 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.55 | 4.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.629 | 7.026 | 5.190 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 639 | 623 | 570 | 3112 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.89 | 4.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.952 | 7.609 | 6.876 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 621 | 599 | 350 | 741 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.56 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.806 | 4.802 | 8.404 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 319 | 322 | 197 | 341 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.62 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.458 | 3.328 | 3.417 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 143 | 191 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.40 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 1.669 | 3.339 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 101 | 118 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.254 | 1.955 | 3.887 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 344 | 343 | 365 | 413 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.425 | 4.222 | 5.058 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 435 | 438 | 433 | 1325 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.00 | 3.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.692 | 6.330 | 6.551 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 980 | 828 | 352 | 1063 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 0.36 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.268 | 6.826 | 4.210 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 304 | 594 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.36 | 2.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.298 | 5.843 | 4.118 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 207 | 285 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.295 | 3.384 | 4.250 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 344 | 346 | 221 | 303 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.64 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.439 | 4.036 | 4.983 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 539 | 522 | 418 | 956 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.78 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.702 | 8.126 | 6.595 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 814 | 791 | 1645 | 2127 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 2.02 | 2.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.102 | 9.591 | 7.726 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 234 | 204 | 265 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.84 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.374 | 2.334 | 6.699 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 188 | 78 | 121 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.41 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.317 | 1.020 | 3.326 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 54 | 64 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.160 | 1.938 | 3.344 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 78 | 147 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 2.311 | 3.347 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 217 | 353 | 372 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.64 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 3.084 | 4.234 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 302 | 134 | 293 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.45 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.416 | 1.690 | 3.382 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 94 | 133 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 1.549 | 3.355 | 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 | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 53 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 1.625 | 3.389 | 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 | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 37 | 35 | 0 | 14 | 19 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.97 | 0.00 | 0.39 | 0.53 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.464 | 3.599 | 0.000 | 0.080 | 1.919 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 131 | 100 | 0 | 513 | 0 | 329 | 0 |
N.S. |
1 | 1.00 | 1.16 | 0.88 | 0.00 | 4.54 | 0.00 | 2.91 | 0.00 |
time (sec) |
N/A | 0.242 | 0.478 | 3.483 | 0.000 | 1.109 | 0.000 | 0.938 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 359 | 360 | 422 | 574 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.602 | 3.318 | 3.397 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 381 | 378 | 401 | 559 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.05 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.549 | 3.047 | 3.349 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |