Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 151 | 146 | 241 | 717 | 0 | 273 | 750 |
N.S. |
1 | 1.00 | 0.58 | 0.56 | 0.92 | 2.75 | 0.00 | 1.05 | 2.87 |
time (sec) |
N/A | 0.131 | 0.456 | 0.369 | 0.520 | 2.058 | 0.000 | 0.453 | 0.331 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 162 | 153 | 222 | 920 | 0 | 278 | 104 |
N.S. |
1 | 1.00 | 0.57 | 0.54 | 0.78 | 3.24 | 0.00 | 0.98 | 0.37 |
time (sec) |
N/A | 0.149 | 0.513 | 0.398 | 0.537 | 1.756 | 0.000 | 0.448 | 0.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 165 | 153 | 251 | 741 | 0 | 283 | 859 |
N.S. |
1 | 1.00 | 0.57 | 0.53 | 0.87 | 2.56 | 0.00 | 0.98 | 2.97 |
time (sec) |
N/A | 0.157 | 0.514 | 0.415 | 0.516 | 2.181 | 0.000 | 0.452 | 0.372 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 187 | 170 | 250 | 974 | 0 | 303 | 121 |
N.S. |
1 | 1.00 | 0.60 | 0.55 | 0.81 | 3.14 | 0.00 | 0.98 | 0.39 |
time (sec) |
N/A | 0.165 | 0.516 | 0.398 | 0.529 | 2.295 | 0.000 | 0.466 | 0.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 187 | 170 | 286 | 795 | 0 | 292 | 595 |
N.S. |
1 | 1.00 | 0.60 | 0.55 | 0.92 | 2.56 | 0.00 | 0.94 | 1.92 |
time (sec) |
N/A | 0.170 | 0.535 | 0.402 | 0.520 | 2.087 | 0.000 | 0.447 | 0.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 332 | 332 | 209 | 190 | 276 | 1024 | 0 | 328 | 142 |
N.S. |
1 | 1.00 | 0.63 | 0.57 | 0.83 | 3.08 | 0.00 | 0.99 | 0.43 |
time (sec) |
N/A | 0.188 | 0.580 | 0.409 | 0.513 | 2.697 | 0.000 | 0.476 | 0.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 204 | 191 | 306 | 817 | 0 | 321 | 865 |
N.S. |
1 | 1.00 | 0.59 | 0.56 | 0.89 | 2.38 | 0.00 | 0.94 | 2.52 |
time (sec) |
N/A | 0.186 | 0.528 | 0.406 | 0.548 | 2.471 | 0.000 | 0.472 | 0.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 184 | 173 | 256 | 993 | 0 | 304 | 138 |
N.S. |
1 | 1.00 | 0.57 | 0.54 | 0.80 | 3.08 | 0.00 | 0.94 | 0.43 |
time (sec) |
N/A | 0.171 | 0.581 | 0.528 | 0.491 | 2.441 | 0.000 | 0.461 | 0.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 184 | 172 | 283 | 793 | 0 | 304 | 760 |
N.S. |
1 | 1.00 | 0.57 | 0.53 | 0.88 | 2.46 | 0.00 | 0.94 | 2.36 |
time (sec) |
N/A | 0.178 | 0.573 | 0.472 | 0.514 | 2.560 | 0.000 | 0.477 | 0.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 171 | 166 | 251 | 990 | 0 | 293 | 122 |
N.S. |
1 | 1.00 | 0.58 | 0.57 | 0.86 | 3.38 | 0.00 | 1.00 | 0.42 |
time (sec) |
N/A | 0.153 | 0.592 | 0.380 | 0.512 | 2.173 | 0.000 | 0.470 | 0.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 173 | 167 | 280 | 806 | 0 | 298 | 799 |
N.S. |
1 | 1.00 | 0.58 | 0.56 | 0.94 | 2.70 | 0.00 | 1.00 | 2.68 |
time (sec) |
N/A | 0.192 | 0.579 | 0.367 | 0.521 | 2.239 | 0.000 | 0.472 | 0.383 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 175 | 168 | 253 | 1005 | 0 | 298 | 124 |
N.S. |
1 | 1.00 | 0.59 | 0.56 | 0.85 | 3.37 | 0.00 | 1.00 | 0.42 |
time (sec) |
N/A | 0.316 | 0.595 | 0.374 | 0.550 | 2.262 | 0.000 | 0.447 | 0.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 172 | 166 | 276 | 793 | 0 | 293 | 780 |
N.S. |
1 | 1.00 | 0.59 | 0.57 | 0.94 | 2.71 | 0.00 | 1.00 | 2.66 |
time (sec) |
N/A | 0.332 | 0.593 | 0.372 | 0.536 | 3.292 | 0.000 | 0.507 | 0.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 316 | 316 | 187 | 173 | 255 | 988 | 0 | 300 | 133 |
N.S. |
1 | 1.00 | 0.59 | 0.55 | 0.81 | 3.13 | 0.00 | 0.95 | 0.42 |
time (sec) |
N/A | 0.278 | 0.640 | 0.411 | 0.524 | 2.740 | 0.000 | 0.465 | 0.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 187 | 173 | 285 | 809 | 0 | 304 | 888 |
N.S. |
1 | 1.00 | 0.58 | 0.54 | 0.89 | 2.51 | 0.00 | 0.94 | 2.76 |
time (sec) |
N/A | 0.177 | 0.538 | 0.408 | 0.503 | 2.615 | 0.000 | 0.563 | 0.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 209 | 190 | 285 | 1043 | 0 | 326 | 152 |
N.S. |
1 | 1.00 | 0.61 | 0.55 | 0.83 | 3.04 | 0.00 | 0.95 | 0.44 |
time (sec) |
N/A | 0.194 | 0.554 | 0.418 | 0.534 | 2.262 | 0.000 | 0.541 | 0.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 210 | 190 | 321 | 864 | 0 | 315 | 626 |
N.S. |
1 | 1.00 | 0.61 | 0.55 | 0.94 | 2.52 | 0.00 | 0.92 | 1.83 |
time (sec) |
N/A | 0.199 | 0.560 | 0.413 | 0.538 | 2.756 | 0.000 | 0.617 | 0.449 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 365 | 365 | 231 | 210 | 311 | 1093 | 0 | 351 | 173 |
N.S. |
1 | 1.00 | 0.63 | 0.58 | 0.85 | 2.99 | 0.00 | 0.96 | 0.47 |
time (sec) |
N/A | 0.214 | 0.594 | 0.416 | 0.547 | 2.755 | 0.000 | 0.550 | 0.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 365 | 365 | 231 | 210 | 353 | 894 | 0 | 351 | 639 |
N.S. |
1 | 1.00 | 0.63 | 0.58 | 0.97 | 2.45 | 0.00 | 0.96 | 1.75 |
time (sec) |
N/A | 0.216 | 0.584 | 0.412 | 0.545 | 2.153 | 0.000 | 0.512 | 0.507 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 136 | 307 | 0 | 123 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.56 | 1.26 | 0.00 | 0.51 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.250 | 10.134 | 0.422 | 0.000 | 0.332 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 111 | 446 | 0 | 103 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.30 | 1.21 | 0.00 | 0.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.307 | 10.116 | 0.510 | 0.000 | 0.325 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 111 | 283 | 0 | 98 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.54 | 1.39 | 0.00 | 0.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.204 | 10.087 | 0.434 | 0.000 | 0.768 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 326 | 326 | 94 | 422 | 0 | 77 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 1.29 | 0.00 | 0.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.263 | 10.072 | 0.384 | 0.000 | 0.543 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 94 | 257 | 0 | 74 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.57 | 1.56 | 0.00 | 0.45 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.170 | 10.044 | 0.383 | 0.000 | 0.524 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 323 | 323 | 97 | 399 | 0 | 71 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.30 | 1.24 | 0.00 | 0.22 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.246 | 9.145 | 0.389 | 0.000 | 0.450 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 97 | 239 | 0 | 61 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.60 | 1.47 | 0.00 | 0.37 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.166 | 9.371 | 0.381 | 0.000 | 0.608 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 328 | 328 | 96 | 422 | 0 | 76 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 1.29 | 0.00 | 0.23 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.249 | 10.032 | 0.392 | 0.000 | 0.525 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 98 | 255 | 0 | 71 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.59 | 1.53 | 0.00 | 0.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.170 | 10.042 | 0.391 | 0.000 | 0.583 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 99 | 452 | 0 | 103 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.27 | 1.22 | 0.00 | 0.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.294 | 10.046 | 0.391 | 0.000 | 0.552 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 98 | 283 | 0 | 96 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.48 | 1.39 | 0.00 | 0.47 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.204 | 10.054 | 0.392 | 0.000 | 0.736 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 486 | 486 | 160 | 518 | 0 | 175 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.33 | 1.07 | 0.00 | 0.36 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.457 | 10.161 | 0.397 | 0.000 | 0.789 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 321 | 321 | 160 | 355 | 0 | 170 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.50 | 1.11 | 0.00 | 0.53 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.335 | 10.148 | 0.392 | 0.000 | 0.990 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 447 | 447 | 138 | 494 | 0 | 150 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.31 | 1.11 | 0.00 | 0.34 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.407 | 10.134 | 0.380 | 0.000 | 0.569 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 138 | 331 | 0 | 147 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.49 | 1.17 | 0.00 | 0.52 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.296 | 10.130 | 0.534 | 0.000 | 0.962 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 408 | 408 | 115 | 470 | 0 | 127 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.28 | 1.15 | 0.00 | 0.31 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.367 | 10.121 | 0.420 | 0.000 | 0.738 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 115 | 307 | 0 | 121 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.48 | 1.28 | 0.00 | 0.51 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.260 | 10.120 | 0.385 | 0.000 | 0.539 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 98 | 446 | 0 | 102 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.27 | 1.21 | 0.00 | 0.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.314 | 10.071 | 0.386 | 0.000 | 0.714 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 97 | 283 | 0 | 97 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.48 | 1.41 | 0.00 | 0.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.218 | 10.047 | 0.381 | 0.000 | 0.810 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 85 | 429 | 0 | 94 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.24 | 1.21 | 0.00 | 0.26 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.312 | 10.050 | 0.385 | 0.000 | 0.777 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 101 | 260 | 0 | 86 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.50 | 1.30 | 0.00 | 0.43 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.214 | 10.053 | 0.394 | 0.000 | 0.627 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 354 | 354 | 99 | 427 | 0 | 81 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.28 | 1.21 | 0.00 | 0.23 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.323 | 10.038 | 0.398 | 0.000 | 0.657 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 101 | 254 | 0 | 75 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.50 | 1.25 | 0.00 | 0.37 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.223 | 10.043 | 0.390 | 0.000 | 0.421 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 364 | 364 | 100 | 452 | 0 | 102 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.27 | 1.24 | 0.00 | 0.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.307 | 10.037 | 0.399 | 0.000 | 0.591 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 143 | 298 | 0 | 122 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.59 | 1.23 | 0.00 | 0.50 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.256 | 10.131 | 0.396 | 0.000 | 0.619 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 122 | 437 | 0 | 102 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.33 | 1.18 | 0.00 | 0.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.314 | 10.106 | 0.391 | 0.000 | 0.650 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 122 | 274 | 0 | 99 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.60 | 1.34 | 0.00 | 0.49 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.210 | 10.107 | 0.373 | 0.000 | 0.518 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 330 | 330 | 97 | 413 | 0 | 79 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 1.25 | 0.00 | 0.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.266 | 10.103 | 0.504 | 0.000 | 0.532 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 97 | 248 | 0 | 73 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.58 | 1.49 | 0.00 | 0.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.169 | 10.095 | 0.435 | 0.000 | 0.674 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 81 | 378 | 0 | 55 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.28 | 1.29 | 0.00 | 0.19 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.219 | 10.065 | 0.379 | 0.000 | 0.413 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 80 | 216 | 0 | 51 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.62 | 1.66 | 0.00 | 0.39 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.140 | 10.061 | 0.383 | 0.000 | 0.327 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 82 | 377 | 0 | 62 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 1.34 | 0.00 | 0.22 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.219 | 10.046 | 0.394 | 0.000 | 0.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 82 | 219 | 0 | 57 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.63 | 1.67 | 0.00 | 0.44 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.140 | 10.046 | 0.392 | 0.000 | 0.462 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 332 | 332 | 83 | 413 | 0 | 76 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.25 | 1.24 | 0.00 | 0.23 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.283 | 10.041 | 0.395 | 0.000 | 0.525 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 85 | 247 | 0 | 69 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.51 | 1.48 | 0.00 | 0.41 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 10.051 | 0.407 | 0.000 | 0.326 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 84 | 443 | 0 | 104 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.23 | 1.20 | 0.00 | 0.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.315 | 10.043 | 0.420 | 0.000 | 0.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 84 | 274 | 0 | 96 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.41 | 1.34 | 0.00 | 0.47 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.217 | 10.057 | 0.414 | 0.000 | 0.558 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 134 | 281 | 0 | 156 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.53 | 1.12 | 0.00 | 0.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.266 | 10.130 | 0.437 | 0.000 | 0.692 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 377 | 377 | 110 | 420 | 0 | 134 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.29 | 1.11 | 0.00 | 0.36 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.324 | 10.112 | 0.428 | 0.000 | 0.620 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 110 | 255 | 0 | 129 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.51 | 1.19 | 0.00 | 0.60 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.218 | 10.122 | 0.409 | 0.000 | 0.710 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 340 | 340 | 85 | 394 | 0 | 106 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.25 | 1.16 | 0.00 | 0.31 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.279 | 10.098 | 0.523 | 0.000 | 0.698 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 86 | 230 | 0 | 102 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.48 | 1.29 | 0.00 | 0.57 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.184 | 10.096 | 0.477 | 0.000 | 0.415 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 299 | 299 | 78 | 388 | 0 | 98 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.26 | 1.30 | 0.00 | 0.33 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.227 | 10.070 | 0.378 | 0.000 | 0.557 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 76 | 222 | 0 | 90 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.55 | 1.62 | 0.00 | 0.66 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.147 | 10.043 | 0.372 | 0.000 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 318 | 318 | 77 | 392 | 0 | 115 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.24 | 1.23 | 0.00 | 0.36 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.269 | 10.038 | 0.408 | 0.000 | 0.677 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 92 | 235 | 0 | 111 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.55 | 1.41 | 0.00 | 0.66 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.173 | 10.052 | 0.398 | 0.000 | 0.509 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 79 | 420 | 0 | 134 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.21 | 1.14 | 0.00 | 0.36 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.318 | 10.046 | 0.409 | 0.000 | 0.337 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 79 | 254 | 0 | 126 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.39 | 1.25 | 0.00 | 0.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.219 | 10.046 | 0.405 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 405 | 405 | 79 | 450 | 0 | 163 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.20 | 1.11 | 0.00 | 0.40 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.360 | 10.038 | 0.424 | 0.000 | 0.576 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 89 | 474 | 129 | 381 | 2077 | 603 | 291 |
N.S. | 1 | 1.00 | 0.93 | 4.94 | 1.34 | 3.97 | 21.64 | 6.28 | 3.03 |
time (sec) |
N/A | 0.049 | 0.114 | 0.375 | 0.307 | 2.417 | 1.065 | 1.411 | 0.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 66 | 262 | 91 | 217 | 1051 | 340 | 179 |
N.S. | 1 | 1.00 | 0.93 | 3.69 | 1.28 | 3.06 | 14.80 | 4.79 | 2.52 |
time (sec) |
N/A | 0.037 | 0.075 | 0.363 | 0.281 | 1.902 | 0.616 | 1.342 | 0.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 42 | 55 | 53 | 94 | 415 | 149 | 97 |
N.S. | 1 | 1.00 | 0.93 | 1.22 | 1.18 | 2.09 | 9.22 | 3.31 | 2.16 |
time (sec) |
N/A | 0.019 | 0.052 | 0.034 | 0.274 | 2.460 | 0.330 | 1.035 | 0.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.032 | 0.075 | 0.067 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 92 | 131 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 0.94 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.044 | 0.206 | 0.054 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 126 | 135 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 0.90 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.092 | 0.117 | 0.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 63 | 0 | 112 | 140 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 1.18 | 1.47 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.105 | 0.089 | 0.196 | 0.375 | 2.015 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 111 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.152 | 0.147 | 1.554 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 210 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.239 | 0.190 | 0.155 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 15 | 15 | 17 | 17 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.79 | 0.89 | 0.89 | 0.68 |
time (sec) |
N/A | 0.019 | 0.004 | 0.393 | 0.493 | 1.510 | 0.031 | 0.531 | 0.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 36 | 35 | 11 | 10 | 16 | 11 |
N.S. | 1 | 1.00 | 1.00 | 2.40 | 2.33 | 0.73 | 0.67 | 1.07 | 0.73 |
time (sec) |
N/A | 0.015 | 0.004 | 0.407 | 0.516 | 1.743 | 0.038 | 0.612 | 0.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 14 | 13 | 13 | 14 | 16 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.76 | 0.82 | 0.94 | 0.76 |
time (sec) |
N/A | 0.017 | 0.004 | 0.405 | 0.492 | 1.642 | 0.046 | 0.500 | 0.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 14 | 18 | 10 | 16 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 1.12 | 0.62 | 1.00 | 0.88 |
time (sec) |
N/A | 0.010 | 0.003 | 0.423 | 0.298 | 2.225 | 0.027 | 0.497 | 0.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 52 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.034 | 0.093 | 0.018 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 0 | 37 | 43 | 0 | 48 | -1 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 2.06 | 2.39 | 0.00 | 2.67 | -0.06 |
time (sec) |
N/A | 0.026 | 0.279 | 0.187 | 0.332 | 1.721 | 0.000 | 0.662 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.047 | 0.175 | 0.054 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 157 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.155 | 0.214 | 0.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 119 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.072 | 0.160 | 0.059 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 97 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.039 | 0.123 | 0.055 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.025 | 0.131 | 0.063 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 77 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.140 | 0.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 112 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 0.198 | 0.070 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 184 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.115 | 0.256 | 0.087 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.154 | 0.056 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 179 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.165 | 0.237 | 0.063 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 120 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.185 | 0.061 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 57 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.022 | 0.109 | 0.064 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 88 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.046 | 0.172 | 0.067 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 125 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.090 | 0.169 | 0.071 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 182 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.181 | 0.294 | 0.081 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |