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 | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 342 | 342 | 258 | 1087 | 0 | 852 | 0 | 404 | -1 |
N.S. |
1 | 1.00 | 0.75 | 3.18 | 0.00 | 2.49 | 0.00 | 1.18 | -0.00 |
time (sec) |
N/A | 0.363 | 0.960 | 0.047 | 0.000 | 9.720 | 0.000 | 1.383 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 350 | 350 | 267 | 1255 | 0 | 854 | 0 | 1103 | -1 |
N.S. |
1 | 1.00 | 0.76 | 3.59 | 0.00 | 2.44 | 0.00 | 3.15 | -0.00 |
time (sec) |
N/A | 0.359 | 2.148 | 0.049 | 0.000 | 8.998 | 0.000 | 1.353 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 248 | 1423 | 0 | 828 | 0 | 1894 | -1 |
N.S. |
1 | 1.00 | 0.70 | 4.04 | 0.00 | 2.35 | 0.00 | 5.38 | -0.00 |
time (sec) |
N/A | 0.352 | 0.661 | 0.048 | 0.000 | 21.891 | 0.000 | 1.091 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 298 | 825 | 0 | 1156 | 0 | 2703 | -1 |
N.S. |
1 | 1.00 | 1.13 | 3.12 | 0.00 | 4.38 | 0.00 | 10.24 | -0.00 |
time (sec) |
N/A | 0.325 | 0.710 | 0.049 | 0.000 | 87.925 | 0.000 | 1.073 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 104 | 212 | 0 | 0 | 0 | 3739 | 2500 |
N.S. |
1 | 1.00 | 0.75 | 1.54 | 0.00 | 0.00 | 0.00 | 27.09 | 18.12 |
time (sec) |
N/A | 0.127 | 0.216 | 0.052 | 0.000 | 0.000 | 0.000 | 1.044 | 26.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 169 | 365 | 0 | 0 | 0 | 4740 | 2500 |
N.S. |
1 | 1.00 | 0.80 | 1.74 | 0.00 | 0.00 | 0.00 | 22.57 | 11.90 |
time (sec) |
N/A | 0.208 | 0.254 | 0.058 | 0.000 | 0.000 | 0.000 | 1.052 | 53.397 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 250 | 533 | 0 | 0 | 0 | 5856 | 2500 |
N.S. |
1 | 1.00 | 0.88 | 1.87 | 0.00 | 0.00 | 0.00 | 20.55 | 8.77 |
time (sec) |
N/A | 0.280 | 0.358 | 0.059 | 0.000 | 0.000 | 0.000 | 1.533 | 105.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 360 | 360 | 351 | 701 | 0 | 0 | 0 | 7089 | -1 |
N.S. |
1 | 1.00 | 0.98 | 1.95 | 0.00 | 0.00 | 0.00 | 19.69 | -0.00 |
time (sec) |
N/A | 0.354 | 0.448 | 0.066 | 0.000 | 0.000 | 0.000 | 2.341 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 340 | 340 | 289 | 1454 | 0 | 768 | 0 | 381 | -1 |
N.S. |
1 | 1.00 | 0.85 | 4.28 | 0.00 | 2.26 | 0.00 | 1.12 | -0.00 |
time (sec) |
N/A | 0.375 | 0.561 | 0.048 | 0.000 | 3.144 | 0.000 | 1.327 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 265 | 265 | 223 | 777 | 0 | 546 | 0 | 262 | -1 |
N.S. |
1 | 1.00 | 0.84 | 2.93 | 0.00 | 2.06 | 0.00 | 0.99 | -0.00 |
time (sec) |
N/A | 0.233 | 0.439 | 0.040 | 0.000 | 2.570 | 0.000 | 1.555 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 181 | 380 | 0 | 384 | 0 | 177 | -1 |
N.S. |
1 | 1.00 | 1.21 | 2.55 | 0.00 | 2.58 | 0.00 | 1.19 | -0.01 |
time (sec) |
N/A | 0.091 | 0.530 | 0.036 | 0.000 | 2.423 | 0.000 | 2.374 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 141 | 134 | 0 | 382 | 0 | 127 | -1 |
N.S. |
1 | 1.00 | 1.17 | 1.11 | 0.00 | 3.16 | 0.00 | 1.05 | -0.01 |
time (sec) |
N/A | 0.085 | 0.214 | 0.039 | 0.000 | 3.809 | 0.000 | 2.469 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 89 | 212 | 0 | 171 | 0 | 312 | 101 |
N.S. |
1 | 1.00 | 0.65 | 1.55 | 0.00 | 1.25 | 0.00 | 2.28 | 0.74 |
time (sec) |
N/A | 0.125 | 0.153 | 0.046 | 0.000 | 6.305 | 0.000 | 1.081 | 2.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 166 | 365 | 0 | 343 | 0 | 509 | 471 |
N.S. |
1 | 1.00 | 0.79 | 1.74 | 0.00 | 1.63 | 0.00 | 2.42 | 2.24 |
time (sec) |
N/A | 0.217 | 0.173 | 0.049 | 0.000 | 27.110 | 0.000 | 0.835 | 3.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 247 | 533 | 0 | 578 | 0 | 917 | 624 |
N.S. |
1 | 1.00 | 0.87 | 1.87 | 0.00 | 2.03 | 0.00 | 3.22 | 2.19 |
time (sec) |
N/A | 0.280 | 0.236 | 0.052 | 0.000 | 105.676 | 0.000 | 1.988 | 4.752 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 360 | 360 | 348 | 701 | 0 | 0 | 0 | 1029 | 949 |
N.S. |
1 | 1.00 | 0.97 | 1.95 | 0.00 | 0.00 | 0.00 | 2.86 | 2.64 |
time (sec) |
N/A | 0.361 | 0.280 | 0.057 | 0.000 | 0.000 | 0.000 | 1.002 | 8.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 287 | 287 | 221 | 1544 | 0 | 678 | 0 | 321 | -1 |
N.S. |
1 | 1.00 | 0.77 | 5.38 | 0.00 | 2.36 | 0.00 | 1.12 | -0.00 |
time (sec) |
N/A | 0.271 | 1.205 | 0.049 | 0.000 | 5.620 | 0.000 | 1.113 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 142 | 840 | 0 | 470 | 0 | 231 | -1 |
N.S. |
1 | 1.00 | 0.67 | 3.94 | 0.00 | 2.21 | 0.00 | 1.08 | -0.00 |
time (sec) |
N/A | 0.186 | 0.268 | 0.039 | 0.000 | 5.632 | 0.000 | 1.103 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 139 | 421 | 0 | 453 | 0 | 152 | 344 |
N.S. |
1 | 1.00 | 1.08 | 3.26 | 0.00 | 3.51 | 0.00 | 1.18 | 2.67 |
time (sec) |
N/A | 0.096 | 0.209 | 0.036 | 0.000 | 3.161 | 0.000 | 1.215 | 4.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 149 | 238 | 0 | 380 | 0 | 0 | 872 |
N.S. |
1 | 1.00 | 1.10 | 1.75 | 0.00 | 2.79 | 0.00 | 0.00 | 6.41 |
time (sec) |
N/A | 0.079 | 0.202 | 0.052 | 0.000 | 24.700 | 0.000 | 0.000 | 3.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 233 | 397 | 0 | 614 | 0 | 7465 | 2126 |
N.S. |
1 | 1.00 | 1.11 | 1.90 | 0.00 | 2.94 | 0.00 | 35.72 | 10.17 |
time (sec) |
N/A | 0.171 | 0.244 | 0.058 | 0.000 | 66.967 | 0.000 | 1.086 | 4.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 331 | 565 | 0 | 932 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.17 | 1.99 | 0.00 | 3.28 | 0.00 | 0.00 | 8.80 |
time (sec) |
N/A | 0.243 | 0.303 | 0.065 | 0.000 | 151.229 | 0.000 | 0.000 | 7.860 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-2) | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 364 | 364 | 139 | 6836 | 0 | 1122 | 0 | 1248 | -1 |
N.S. |
1 | 1.00 | 0.38 | 18.78 | 0.00 | 3.08 | 0.00 | 3.43 | -0.00 |
time (sec) |
N/A | 0.336 | 10.234 | 0.073 | 0.000 | 24.910 | 0.000 | 1.043 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 204 | 4126 | 0 | 796 | 0 | 929 | -1 |
N.S. |
1 | 1.00 | 0.70 | 14.18 | 0.00 | 2.74 | 0.00 | 3.19 | -0.00 |
time (sec) |
N/A | 0.251 | 0.466 | 0.049 | 0.000 | 10.231 | 0.000 | 0.933 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 187 | 2426 | 0 | 734 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 13.71 | 0.00 | 4.15 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.177 | 0.366 | 0.041 | 0.000 | 5.914 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 100 | 1462 | 0 | 203 | 0 | 308 | 107 |
N.S. |
1 | 1.00 | 0.68 | 10.01 | 0.00 | 1.39 | 0.00 | 2.11 | 0.73 |
time (sec) |
N/A | 0.102 | 0.149 | 0.046 | 0.000 | 5.808 | 0.000 | 0.932 | 3.299 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 146 | 151 | 772 | 0 | 398 | 0 | 0 | 795 |
N.S. |
1 | 0.88 | 0.92 | 4.68 | 0.00 | 2.41 | 0.00 | 0.00 | 4.82 |
time (sec) |
N/A | 0.111 | 0.188 | 0.048 | 0.000 | 17.998 | 0.000 | 0.000 | 3.443 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 345 | 417 | 0 | 983 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.66 | 2.00 | 0.00 | 4.73 | 0.00 | 0.00 | 12.02 |
time (sec) |
N/A | 0.125 | 0.299 | 0.074 | 0.000 | 134.620 | 0.000 | 0.000 | 5.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 468 | 597 | 0 | 0 | 0 | 22323 | 2500 |
N.S. |
1 | 1.00 | 1.65 | 2.11 | 0.00 | 0.00 | 0.00 | 78.88 | 8.83 |
time (sec) |
N/A | 0.240 | 0.388 | 0.086 | 0.000 | 0.000 | 0.000 | 1.479 | 10.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 358 | 358 | 505 | 765 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.41 | 2.14 | 0.00 | 0.00 | 0.00 | 0.00 | 6.98 |
time (sec) |
N/A | 0.321 | 0.720 | 0.093 | 0.000 | 0.000 | 0.000 | 0.000 | 22.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 347 | 347 | 262 | 359 | 479 | 464 | 0 | 2874 | 501 |
N.S. | 1 | 1.00 | 0.76 | 1.03 | 1.38 | 1.34 | 0.00 | 8.28 | 1.44 |
time (sec) |
N/A | 0.370 | 0.186 | 0.070 | 0.373 | 2.782 | 0.000 | 1.563 | 3.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 179 | 227 | 343 | 321 | 0 | 1572 | 337 |
N.S. | 1 | 1.00 | 0.67 | 0.85 | 1.28 | 1.20 | 0.00 | 5.89 | 1.26 |
time (sec) |
N/A | 0.263 | 0.131 | 0.060 | 0.434 | 3.081 | 0.000 | 0.949 | 2.894 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 119 | 131 | 234 | 208 | 0 | 727 | 219 |
N.S. | 1 | 1.00 | 0.62 | 0.69 | 1.23 | 1.09 | 0.00 | 3.81 | 1.15 |
time (sec) |
N/A | 0.188 | 0.085 | 0.059 | 0.376 | 3.400 | 0.000 | 0.904 | 2.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 76 | 71 | 115 | 126 | 0 | 239 | 100 |
N.S. | 1 | 1.00 | 0.64 | 0.60 | 0.97 | 1.07 | 0.00 | 2.03 | 0.85 |
time (sec) |
N/A | 0.111 | 0.057 | 0.051 | 0.292 | 2.712 | 0.000 | 1.323 | 2.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 152 | 322 | 0 | 386 | 0 | 406 | -1 |
N.S. | 1 | 1.00 | 0.82 | 1.73 | 0.00 | 2.08 | 0.00 | 2.18 | -0.01 |
time (sec) |
N/A | 0.216 | 0.244 | 0.045 | 0.000 | 3.333 | 0.000 | 1.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 136 | 351 | 0 | 594 | 0 | 170 | -1 |
N.S. | 1 | 1.00 | 0.61 | 1.57 | 0.00 | 2.66 | 0.00 | 0.76 | -0.00 |
time (sec) |
N/A | 0.228 | 0.261 | 0.042 | 0.000 | 3.970 | 0.000 | 0.929 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 181 | 622 | 0 | 964 | 0 | 354 | -1 |
N.S. | 1 | 1.00 | 0.78 | 2.69 | 0.00 | 4.17 | 0.00 | 1.53 | -0.00 |
time (sec) |
N/A | 0.240 | 0.502 | 0.042 | 0.000 | 2.983 | 0.000 | 0.874 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 246 | 1025 | 0 | 1500 | 0 | 628 | -1 |
N.S. | 1 | 1.00 | 0.80 | 3.34 | 0.00 | 4.89 | 0.00 | 2.05 | -0.00 |
time (sec) |
N/A | 0.335 | 0.894 | 0.047 | 0.000 | 3.111 | 0.000 | 1.831 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 330 | 1533 | 0 | 2144 | 0 | 1077 | -1 |
N.S. | 1 | 1.00 | 0.85 | 3.96 | 0.00 | 5.54 | 0.00 | 2.78 | -0.00 |
time (sec) |
N/A | 0.422 | 1.120 | 0.049 | 0.000 | 2.648 | 0.000 | 1.414 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 419 | 419 | 364 | 529 | 825 | 836 | 0 | 12019 | 863 |
N.S. | 1 | 1.00 | 0.87 | 1.26 | 1.97 | 2.00 | 0.00 | 28.68 | 2.06 |
time (sec) |
N/A | 0.432 | 0.292 | 0.060 | 0.376 | 2.720 | 0.000 | 1.156 | 3.927 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 347 | 347 | 264 | 361 | 641 | 633 | 0 | 6777 | 637 |
N.S. | 1 | 1.00 | 0.76 | 1.04 | 1.85 | 1.82 | 0.00 | 19.53 | 1.84 |
time (sec) |
N/A | 0.368 | 0.211 | 0.062 | 0.341 | 3.217 | 0.000 | 1.222 | 3.630 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 183 | 229 | 480 | 462 | 0 | 4457 | 441 |
N.S. | 1 | 1.00 | 0.69 | 0.86 | 1.80 | 1.73 | 0.00 | 16.69 | 1.65 |
time (sec) |
N/A | 0.267 | 0.152 | 0.061 | 0.325 | 2.777 | 0.000 | 1.646 | 3.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 121 | 133 | 307 | 319 | 0 | 1818 | 239 |
N.S. | 1 | 1.00 | 0.63 | 0.69 | 1.59 | 1.65 | 0.00 | 9.42 | 1.24 |
time (sec) |
N/A | 0.193 | 0.100 | 0.059 | 0.305 | 2.962 | 0.000 | 1.190 | 3.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 78 | 73 | 193 | 204 | 0 | 967 | 133 |
N.S. | 1 | 1.00 | 0.66 | 0.62 | 1.64 | 1.73 | 0.00 | 8.19 | 1.13 |
time (sec) |
N/A | 0.125 | 0.074 | 0.051 | 0.316 | 3.425 | 0.000 | 1.308 | 2.808 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 194 | 593 | 0 | 580 | 0 | 723 | -1 |
N.S. | 1 | 1.00 | 0.78 | 2.37 | 0.00 | 2.32 | 0.00 | 2.89 | -0.00 |
time (sec) |
N/A | 0.273 | 0.370 | 0.039 | 0.000 | 3.690 | 0.000 | 0.892 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 288 | 288 | 192 | 687 | 0 | 566 | 0 | 346 | -1 |
N.S. | 1 | 1.00 | 0.67 | 2.39 | 0.00 | 1.97 | 0.00 | 1.20 | -0.00 |
time (sec) |
N/A | 0.311 | 0.451 | 0.045 | 0.000 | 2.713 | 0.000 | 0.885 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 305 | 305 | 192 | 657 | 0 | 906 | 0 | 360 | -1 |
N.S. | 1 | 1.00 | 0.63 | 2.15 | 0.00 | 2.97 | 0.00 | 1.18 | -0.00 |
time (sec) |
N/A | 0.310 | 0.516 | 0.047 | 0.000 | 3.010 | 0.000 | 1.231 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 255 | 991 | 0 | 1358 | 0 | 636 | -1 |
N.S. | 1 | 1.00 | 0.83 | 3.23 | 0.00 | 4.42 | 0.00 | 2.07 | -0.00 |
time (sec) |
N/A | 0.309 | 0.885 | 0.047 | 0.000 | 3.708 | 0.000 | 1.387 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 339 | 1509 | 0 | 1980 | 0 | 1049 | -1 |
N.S. |
1 | 1.00 | 0.88 | 3.90 | 0.00 | 5.12 | 0.00 | 2.71 | -0.00 |
time (sec) |
N/A | 0.388 | 1.493 | 0.053 | 0.000 | 3.424 | 0.000 | 1.598 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 501 | 501 | 484 | 733 | 1278 | 1329 | 0 | 31383 | 1307 |
N.S. | 1 | 1.00 | 0.97 | 1.46 | 2.55 | 2.65 | 0.00 | 62.64 | 2.61 |
time (sec) |
N/A | 0.572 | 0.422 | 0.063 | 0.397 | 3.032 | 0.000 | 1.853 | 5.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 424 | 424 | 367 | 529 | 1041 | 1067 | 0 | 22660 | 1023 |
N.S. | 1 | 1.00 | 0.87 | 1.25 | 2.46 | 2.52 | 0.00 | 53.44 | 2.41 |
time (sec) |
N/A | 0.468 | 0.325 | 0.062 | 0.367 | 2.842 | 0.000 | 2.096 | 4.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 264 | 361 | 828 | 837 | 0 | 14101 | 769 |
N.S. | 1 | 1.00 | 0.77 | 1.05 | 2.41 | 2.44 | 0.00 | 41.11 | 2.24 |
time (sec) |
N/A | 0.348 | 0.235 | 0.065 | 0.356 | 2.165 | 0.000 | 2.064 | 4.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 183 | 229 | 601 | 633 | 0 | 7443 | 491 |
N.S. |
1 | 1.00 | 0.68 | 0.85 | 2.23 | 2.34 | 0.00 | 27.57 | 1.82 |
time (sec) |
N/A | 0.267 | 0.174 | 0.060 | 0.324 | 2.844 | 0.000 | 1.390 | 3.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 121 | 133 | 441 | 457 | 0 | 4725 | 320 |
N.S. | 1 | 1.00 | 0.63 | 0.69 | 2.28 | 2.37 | 0.00 | 24.48 | 1.66 |
time (sec) |
N/A | 0.207 | 0.123 | 0.059 | 0.302 | 2.333 | 0.000 | 1.662 | 3.229 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 78 | 73 | 301 | 315 | 0 | 2565 | 170 |
N.S. | 1 | 1.00 | 0.66 | 0.62 | 2.55 | 2.67 | 0.00 | 21.74 | 1.44 |
time (sec) |
N/A | 0.126 | 0.101 | 0.050 | 0.312 | 2.030 | 0.000 | 1.549 | 2.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 316 | 316 | 253 | 948 | 0 | 852 | 0 | 1132 | -1 |
N.S. | 1 | 1.00 | 0.80 | 3.00 | 0.00 | 2.70 | 0.00 | 3.58 | -0.00 |
time (sec) |
N/A | 0.366 | 0.453 | 0.042 | 0.000 | 2.501 | 0.000 | 1.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 360 | 360 | 254 | 1128 | 0 | 884 | 0 | 614 | -1 |
N.S. | 1 | 1.00 | 0.71 | 3.13 | 0.00 | 2.46 | 0.00 | 1.71 | -0.00 |
time (sec) |
N/A | 0.396 | 0.609 | 0.047 | 0.000 | 3.232 | 0.000 | 2.484 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 372 | 372 | 254 | 1181 | 0 | 858 | 0 | 608 | -1 |
N.S. | 1 | 1.00 | 0.68 | 3.17 | 0.00 | 2.31 | 0.00 | 1.63 | -0.00 |
time (sec) |
N/A | 0.385 | 0.831 | 0.048 | 0.000 | 2.668 | 0.000 | 3.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 383 | 383 | 257 | 1062 | 0 | 1270 | 0 | 640 | -1 |
N.S. |
1 | 1.00 | 0.67 | 2.77 | 0.00 | 3.32 | 0.00 | 1.67 | -0.00 |
time (sec) |
N/A | 0.387 | 0.910 | 0.049 | 0.000 | 4.074 | 0.000 | 2.084 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-2) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 383 | 383 | 343 | 1509 | 0 | 1790 | 0 | 1024 | -1 |
N.S. |
1 | 1.00 | 0.90 | 3.94 | 0.00 | 4.67 | 0.00 | 2.67 | -0.00 |
time (sec) |
N/A | 0.377 | 1.466 | 0.052 | 0.000 | 3.548 | 0.000 | 2.843 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-2) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 464 | 464 | 442 | 2079 | 0 | 2512 | 0 | 1545 | -1 |
N.S. |
1 | 1.00 | 0.95 | 4.48 | 0.00 | 5.41 | 0.00 | 3.33 | -0.00 |
time (sec) |
N/A | 0.458 | 2.282 | 0.055 | 0.000 | 3.900 | 0.000 | 2.477 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 181 | 215 | 306 | 209 | 0 | 597 | 246 |
N.S. | 1 | 1.00 | 0.67 | 0.80 | 1.13 | 0.77 | 0.00 | 2.21 | 0.91 |
time (sec) |
N/A | 0.280 | 0.135 | 0.062 | 0.369 | 3.168 | 0.000 | 1.910 | 2.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 118 | 119 | 197 | 127 | 0 | 314 | 149 |
N.S. | 1 | 1.00 | 0.61 | 0.62 | 1.02 | 0.66 | 0.00 | 1.63 | 0.77 |
time (sec) |
N/A | 0.207 | 0.081 | 0.060 | 0.314 | 2.835 | 0.000 | 2.551 | 2.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 63 | 59 | 113 | 76 | 0 | 136 | 89 |
N.S. | 1 | 1.00 | 0.54 | 0.50 | 0.97 | 0.65 | 0.00 | 1.16 | 0.76 |
time (sec) |
N/A | 0.112 | 0.061 | 0.031 | 0.306 | 2.431 | 0.000 | 1.570 | 2.524 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 137 | 153 | 0 | 410 | 0 | 194 | -1 |
N.S. | 1 | 1.00 | 1.05 | 1.17 | 0.00 | 3.13 | 0.00 | 1.48 | -0.01 |
time (sec) |
N/A | 0.125 | 0.208 | 0.037 | 0.000 | 3.370 | 0.000 | 1.848 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 153 | 320 | 0 | 642 | 0 | 168 | -1 |
N.S. | 1 | 1.00 | 1.00 | 2.09 | 0.00 | 4.20 | 0.00 | 1.10 | -0.01 |
time (sec) |
N/A | 0.140 | 0.404 | 0.040 | 0.000 | 3.337 | 0.000 | 1.689 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 196 | 622 | 0 | 1089 | 0 | 381 | -1 |
N.S. | 1 | 1.00 | 0.84 | 2.67 | 0.00 | 4.67 | 0.00 | 1.64 | -0.00 |
time (sec) |
N/A | 0.232 | 0.539 | 0.044 | 0.000 | 3.125 | 0.000 | 2.574 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 245 | 361 | 304 | 343 | 0 | 825 | 398 |
N.S. |
1 | 1.00 | 0.66 | 0.98 | 0.82 | 0.93 | 0.00 | 2.24 | 1.08 |
time (sec) |
N/A | 0.357 | 0.190 | 0.043 | 0.365 | 2.624 | 0.000 | 1.489 | 3.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 292 | 292 | 168 | 229 | 199 | 232 | 0 | 487 | 267 |
N.S. | 1 | 1.00 | 0.58 | 0.78 | 0.68 | 0.79 | 0.00 | 1.67 | 0.91 |
time (sec) |
N/A | 0.269 | 0.139 | 0.040 | 0.316 | 2.567 | 0.000 | 1.759 | 2.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 105 | 133 | 115 | 150 | 0 | 257 | 167 |
N.S. | 1 | 1.00 | 0.48 | 0.61 | 0.53 | 0.69 | 0.00 | 1.18 | 0.77 |
time (sec) |
N/A | 0.183 | 0.082 | 0.036 | 0.311 | 2.288 | 0.000 | 2.165 | 2.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 60 | 72 | 66 | 99 | 0 | 110 | 107 |
N.S. | 1 | 1.00 | 0.41 | 0.49 | 0.45 | 0.67 | 0.00 | 0.74 | 0.72 |
time (sec) |
N/A | 0.105 | 0.050 | 0.035 | 0.312 | 2.017 | 0.000 | 1.708 | 2.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 138 | 199 | 0 | 710 | 0 | 326 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.28 | 0.00 | 4.58 | 0.00 | 2.10 | -0.01 |
time (sec) |
N/A | 0.111 | 0.228 | 0.039 | 0.000 | 2.420 | 0.000 | 2.174 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 172 | 471 | 0 | 1254 | 0 | 303 | -1 |
N.S. | 1 | 1.00 | 0.77 | 2.11 | 0.00 | 5.62 | 0.00 | 1.36 | -0.00 |
time (sec) |
N/A | 0.229 | 0.502 | 0.045 | 0.000 | 2.856 | 0.000 | 1.611 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 308 | 308 | 255 | 816 | 0 | 1862 | 0 | 484 | -1 |
N.S. | 1 | 1.00 | 0.83 | 2.65 | 0.00 | 6.05 | 0.00 | 1.57 | -0.00 |
time (sec) |
N/A | 0.307 | 0.968 | 0.047 | 0.000 | 2.850 | 0.000 | 2.862 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 339 | 1216 | 0 | 2688 | 0 | 809 | -1 |
N.S. | 1 | 1.00 | 0.88 | 3.14 | 0.00 | 6.95 | 0.00 | 2.09 | -0.00 |
time (sec) |
N/A | 0.409 | 1.389 | 0.051 | 0.000 | 3.005 | 0.000 | 2.799 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 448 | 448 | 366 | 529 | 485 | 532 | 0 | 1122 | 596 |
N.S. |
1 | 1.00 | 0.82 | 1.18 | 1.08 | 1.19 | 0.00 | 2.50 | 1.33 |
time (sec) |
N/A | 0.463 | 0.289 | 0.048 | 0.353 | 2.562 | 0.000 | 4.202 | 3.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 371 | 371 | 263 | 361 | 348 | 388 | 0 | 722 | 435 |
N.S. |
1 | 1.00 | 0.71 | 0.97 | 0.94 | 1.05 | 0.00 | 1.95 | 1.17 |
time (sec) |
N/A | 0.356 | 0.198 | 0.046 | 0.360 | 3.424 | 0.000 | 2.568 | 3.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 180 | 229 | 240 | 274 | 0 | 430 | 314 |
N.S. |
1 | 1.00 | 0.62 | 0.79 | 0.82 | 0.94 | 0.00 | 1.48 | 1.08 |
time (sec) |
N/A | 0.260 | 0.151 | 0.041 | 0.336 | 2.950 | 0.000 | 1.405 | 3.206 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 117 | 132 | 158 | 195 | 0 | 222 | 214 |
N.S. |
1 | 1.00 | 0.54 | 0.61 | 0.73 | 0.90 | 0.00 | 1.02 | 0.99 |
time (sec) |
N/A | 0.190 | 0.098 | 0.039 | 0.372 | 2.859 | 0.000 | 1.653 | 2.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 76 | 72 | 105 | 144 | 0 | 147 | 154 |
N.S. | 1 | 1.00 | 0.50 | 0.47 | 0.69 | 0.95 | 0.00 | 0.97 | 1.01 |
time (sec) |
N/A | 0.105 | 0.061 | 0.038 | 0.333 | 2.636 | 0.000 | 1.574 | 2.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 185 | 477 | 0 | 1312 | 0 | 475 | -1 |
N.S. | 1 | 1.00 | 0.84 | 2.16 | 0.00 | 5.94 | 0.00 | 2.15 | -0.00 |
time (sec) |
N/A | 0.196 | 0.488 | 0.041 | 0.000 | 3.188 | 0.000 | 2.067 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 248 | 896 | 0 | 1951 | 0 | 379 | -1 |
N.S. | 1 | 1.00 | 0.79 | 2.86 | 0.00 | 6.23 | 0.00 | 1.21 | -0.00 |
time (sec) |
N/A | 0.271 | 0.877 | 0.046 | 0.000 | 3.101 | 0.000 | 1.749 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 378 | 378 | 329 | 1520 | 0 | 2940 | 0 | 637 | -1 |
N.S. | 1 | 1.00 | 0.87 | 4.02 | 0.00 | 7.78 | 0.00 | 1.69 | -0.00 |
time (sec) |
N/A | 0.388 | 1.236 | 0.051 | 0.000 | 3.650 | 0.000 | 2.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 457 | 457 | 438 | 2003 | 0 | 3932 | 0 | 1106 | -1 |
N.S. | 1 | 1.00 | 0.96 | 4.38 | 0.00 | 8.60 | 0.00 | 2.42 | -0.00 |
time (sec) |
N/A | 0.493 | 2.143 | 0.055 | 0.000 | 4.085 | 0.000 | 2.596 | 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 | 221 | 221 | 161 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.239 | 0.867 | 0.026 | 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 | 219 | 219 | 170 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.231 | 0.689 | 0.023 | 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 | 208 | 208 | 149 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.210 | 0.431 | 0.021 | 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 | 205 | 205 | 155 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.213 | 0.479 | 0.025 | 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 | 210 | 210 | 176 | 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 | 0.222 | 0.598 | 0.023 | 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(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 185 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.222 | 0.744 | 0.023 | 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 | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 34 | 56 | 65 | 63 | 173 | 173 | 79 |
N.S. | 1 | 1.00 | 0.81 | 1.33 | 1.55 | 1.50 | 4.12 | 4.12 | 1.88 |
time (sec) |
N/A | 0.036 | 0.392 | 0.068 | 0.318 | 3.688 | 8.054 | 1.153 | 2.579 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 139 | 98 | 0 | 121 | 0 | 444 | 138 |
N.S. |
1 | 1.00 | 2.17 | 1.53 | 0.00 | 1.89 | 0.00 | 6.94 | 2.16 |
time (sec) |
N/A | 0.026 | 0.461 | 0.098 | 0.000 | 2.055 | 0.000 | 1.929 | 2.631 |
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 | 143 | 143 | 153 | 217 | 265 | 448 | 0 | 297 | 224 |
N.S. |
1 | 1.00 | 1.07 | 1.52 | 1.85 | 3.13 | 0.00 | 2.08 | 1.57 |
time (sec) |
N/A | 0.148 | 0.090 | 0.100 | 0.287 | 3.940 | 0.000 | 1.709 | 2.735 |
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 | 73 | 73 | 73 | 58 | 57 | 57 | 70 | 57 | 57 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.78 | 0.78 | 0.96 | 0.78 | 0.78 |
time (sec) |
N/A | 0.035 | 0.002 | 0.042 | 0.274 | 3.372 | 0.013 | 1.191 | 0.056 |
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 | 60 | 60 | 60 | 47 | 46 | 46 | 56 | 46 | 46 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.77 | 0.77 | 0.93 | 0.77 | 0.77 |
time (sec) |
N/A | 0.026 | 0.002 | 0.037 | 0.277 | 3.322 | 0.011 | 1.615 | 0.030 |
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 | 44 | 44 | 44 | 35 | 34 | 34 | 37 | 34 | 34 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.77 | 0.77 | 0.84 | 0.77 | 0.77 |
time (sec) |
N/A | 0.019 | 0.002 | 0.036 | 0.264 | 3.464 | 0.010 | 1.378 | 0.023 |
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 | 28 | 28 | 28 | 23 | 22 | 22 | 22 | 22 | 22 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.79 | 0.79 | 0.79 | 0.79 | 0.79 |
time (sec) |
N/A | 0.011 | 0.001 | 0.018 | 0.269 | 3.143 | 0.008 | 1.717 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 49 | 53 | 47 | 47 | 201 | 53 | 78 |
N.S. | 1 | 1.00 | 0.91 | 0.98 | 0.87 | 0.87 | 3.72 | 0.98 | 1.44 |
time (sec) |
N/A | 0.051 | 0.020 | 0.123 | 0.469 | 3.228 | 0.210 | 1.148 | 2.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 72 | 95 | 71 | 103 | 238 | 101 | 97 |
N.S. | 1 | 1.00 | 0.91 | 1.20 | 0.90 | 1.30 | 3.01 | 1.28 | 1.23 |
time (sec) |
N/A | 0.049 | 0.031 | 0.054 | 0.490 | 3.807 | 0.288 | 1.092 | 2.293 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 94 | 131 | 92 | 160 | 292 | 88 | 114 |
N.S. | 1 | 1.00 | 0.93 | 1.30 | 0.91 | 1.58 | 2.89 | 0.87 | 1.13 |
time (sec) |
N/A | 0.070 | 0.045 | 0.058 | 0.482 | 3.542 | 0.363 | 1.318 | 0.135 |