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 | B | A | C | F | F | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 212 | 201 | 82 | 572 | 189 | 209 | 0 | 0 | 82 |
N.S. |
1 | 0.95 | 0.39 | 2.70 | 0.89 | 0.99 | 0.00 | 0.00 | 0.39 |
time (sec) |
N/A | 0.521 | 0.149 | 3.089 | 0.557 | 0.261 | 0.000 | 0.000 | 3.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | F | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 192 | 182 | 134 | 448 | 167 | 164 | 0 | 0 | 61 |
N.S. |
1 | 0.95 | 0.70 | 2.33 | 0.87 | 0.85 | 0.00 | 0.00 | 0.32 |
time (sec) |
N/A | 0.438 | 0.073 | 2.046 | 0.338 | 0.255 | 0.000 | 0.000 | 3.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 176 | 72 | 138 | 167 | 180 | 0 | 0 | 54 |
N.S. |
1 | 0.92 | 0.38 | 0.72 | 0.87 | 0.94 | 0.00 | 0.00 | 0.28 |
time (sec) |
N/A | 0.413 | 0.059 | 0.187 | 0.385 | 0.259 | 0.000 | 0.000 | 2.864 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 201 | 161 | 149 | 179 | 262 | 0 | 0 | 75 |
N.S. |
1 | 0.96 | 0.77 | 0.71 | 0.85 | 1.25 | 0.00 | 0.00 | 0.36 |
time (sec) |
N/A | 0.471 | 0.089 | 0.122 | 0.346 | 0.252 | 0.000 | 0.000 | 3.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 201 | 100 | 152 | 184 | 338 | 0 | 0 | 73 |
N.S. |
1 | 0.95 | 0.47 | 0.72 | 0.87 | 1.60 | 0.00 | 0.00 | 0.35 |
time (sec) |
N/A | 0.486 | 0.180 | 0.130 | 0.520 | 0.253 | 0.000 | 0.000 | 3.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 232 | 231 | 172 | 171 | 199 | 350 | 0 | 0 | 91 |
N.S. |
1 | 1.00 | 0.74 | 0.74 | 0.86 | 1.51 | 0.00 | 0.00 | 0.39 |
time (sec) |
N/A | 0.593 | 0.198 | 0.135 | 0.470 | 0.261 | 0.000 | 0.000 | 3.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 229 | 94 | 714 | 207 | 223 | 0 | 0 | 97 |
N.S. |
1 | 0.99 | 0.41 | 3.09 | 0.90 | 0.97 | 0.00 | 0.00 | 0.42 |
time (sec) |
N/A | 0.620 | 0.242 | 3.461 | 0.686 | 0.254 | 0.000 | 0.000 | 3.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | F | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 212 | 209 | 84 | 484 | 190 | 198 | 0 | 0 | 81 |
N.S. |
1 | 0.99 | 0.40 | 2.28 | 0.90 | 0.93 | 0.00 | 0.00 | 0.38 |
time (sec) |
N/A | 0.519 | 0.192 | 2.273 | 0.348 | 0.268 | 0.000 | 0.000 | 2.985 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 199 | 79 | 663 | 189 | 211 | 0 | 0 | 79 |
N.S. |
1 | 0.95 | 0.38 | 3.17 | 0.90 | 1.01 | 0.00 | 0.00 | 0.38 |
time (sec) |
N/A | 0.518 | 0.044 | 3.127 | 0.328 | 0.234 | 0.000 | 0.000 | 0.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 180 | 131 | 138 | 165 | 220 | 0 | 0 | 57 |
N.S. |
1 | 0.94 | 0.68 | 0.72 | 0.86 | 1.15 | 0.00 | 0.00 | 0.30 |
time (sec) |
N/A | 0.384 | 0.053 | 0.189 | 0.352 | 0.243 | 0.000 | 0.000 | 2.955 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 173 | 74 | 135 | 164 | 236 | 0 | 0 | 58 |
N.S. |
1 | 0.90 | 0.39 | 0.70 | 0.85 | 1.23 | 0.00 | 0.00 | 0.30 |
time (sec) |
N/A | 0.391 | 0.004 | 0.187 | 0.452 | 0.246 | 0.000 | 0.000 | 3.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 205 | 161 | 151 | 181 | 264 | 0 | 0 | 77 |
N.S. |
1 | 0.97 | 0.76 | 0.71 | 0.85 | 1.25 | 0.00 | 0.00 | 0.36 |
time (sec) |
N/A | 0.501 | 0.098 | 0.148 | 0.550 | 0.257 | 0.000 | 0.000 | 3.409 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 201 | 100 | 156 | 187 | 339 | 0 | 0 | 76 |
N.S. |
1 | 0.94 | 0.47 | 0.73 | 0.87 | 1.58 | 0.00 | 0.00 | 0.36 |
time (sec) |
N/A | 0.489 | 0.122 | 0.150 | 0.719 | 0.255 | 0.000 | 0.000 | 3.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | F | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 232 | 229 | 97 | 734 | 207 | 231 | 0 | 0 | 93 |
N.S. |
1 | 0.99 | 0.42 | 3.16 | 0.89 | 1.00 | 0.00 | 0.00 | 0.40 |
time (sec) |
N/A | 0.632 | 0.216 | 3.276 | 0.335 | 0.252 | 0.000 | 0.000 | 3.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | F | B |
verified |
N/A | No | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 211 | 207 | 83 | 571 | 190 | 214 | 0 | 0 | 80 |
N.S. |
1 | 0.98 | 0.39 | 2.71 | 0.90 | 1.01 | 0.00 | 0.00 | 0.38 |
time (sec) |
N/A | 0.518 | 0.097 | 2.717 | 0.354 | 0.262 | 0.000 | 0.000 | 0.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 197 | 82 | 157 | 187 | 379 | 0 | 0 | 76 |
N.S. |
1 | 0.93 | 0.39 | 0.74 | 0.88 | 1.79 | 0.00 | 0.00 | 0.36 |
time (sec) |
N/A | 0.470 | 0.001 | 0.141 | 0.355 | 0.248 | 0.000 | 0.000 | 3.787 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 179 | 134 | 138 | 164 | 228 | 0 | 0 | 57 |
N.S. |
1 | 0.93 | 0.70 | 0.72 | 0.85 | 1.19 | 0.00 | 0.00 | 0.30 |
time (sec) |
N/A | 0.403 | 0.016 | 0.194 | 0.601 | 0.245 | 0.000 | 0.000 | 2.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 176 | 74 | 138 | 167 | 236 | 0 | 0 | 58 |
N.S. |
1 | 0.92 | 0.39 | 0.72 | 0.87 | 1.23 | 0.00 | 0.00 | 0.30 |
time (sec) |
N/A | 0.412 | 0.004 | 0.184 | 0.449 | 0.242 | 0.000 | 0.000 | 2.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 205 | 161 | 151 | 181 | 280 | 0 | 0 | 77 |
N.S. |
1 | 0.97 | 0.76 | 0.71 | 0.85 | 1.32 | 0.00 | 0.00 | 0.36 |
time (sec) |
N/A | 0.496 | 0.115 | 0.158 | 0.345 | 0.247 | 0.000 | 0.000 | 3.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 201 | 100 | 156 | 187 | 347 | 0 | 0 | 76 |
N.S. |
1 | 0.94 | 0.47 | 0.73 | 0.87 | 1.62 | 0.00 | 0.00 | 0.36 |
time (sec) |
N/A | 0.500 | 0.157 | 0.142 | 0.338 | 0.252 | 0.000 | 0.000 | 3.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 231 | 172 | 171 | 199 | 381 | 0 | 0 | 93 |
N.S. |
1 | 0.99 | 0.74 | 0.73 | 0.85 | 1.63 | 0.00 | 0.00 | 0.40 |
time (sec) |
N/A | 0.604 | 0.330 | 0.148 | 0.317 | 0.257 | 0.000 | 0.000 | 3.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 62 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 0.059 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 64 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.312 | 0.052 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 64 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.304 | 0.044 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 0.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 62 | 52 | 52 | 51 | 59 | 0 | 76 | 334 |
N.S. |
1 | 0.93 | 0.78 | 0.78 | 0.76 | 0.88 | 0.00 | 1.13 | 4.99 |
time (sec) |
N/A | 0.239 | 0.394 | 0.331 | 0.333 | 0.263 | 0.000 | 0.371 | 8.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 43 | 34 | 37 | 36 | 49 | 0 | 53 | 218 |
N.S. |
1 | 0.96 | 0.76 | 0.82 | 0.80 | 1.09 | 0.00 | 1.18 | 4.84 |
time (sec) |
N/A | 0.238 | 0.268 | 0.253 | 0.639 | 0.270 | 0.000 | 0.357 | 7.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 19 | 18 | 37 | 0 | 21 | 53 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.82 | 1.68 | 0.00 | 0.95 | 2.41 |
time (sec) |
N/A | 0.204 | 0.026 | 0.129 | 0.202 | 0.252 | 0.000 | 0.337 | 3.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 174 | 71 | 136 | 153 | 164 | 0 | 176 | 49 |
N.S. |
1 | 0.91 | 0.37 | 0.71 | 0.80 | 0.85 | 0.00 | 0.92 | 0.26 |
time (sec) |
N/A | 0.378 | 0.057 | 0.166 | 0.284 | 0.270 | 0.000 | 0.317 | 3.406 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 227 | 225 | 102 | 528 | 193 | 924 | 0 | 218 | 0 |
N.S. |
1 | 0.99 | 0.45 | 2.33 | 0.85 | 4.07 | 0.00 | 0.96 | 0.00 |
time (sec) |
N/A | 0.428 | 0.330 | 1.166 | 0.314 | 0.404 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 108 | 102 | 401 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.95 | 3.75 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.601 | 0.489 | 1.461 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 61 | 367 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 4.89 | 0.00 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.454 | 0.282 | 1.416 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 57 | 377 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.21 | 8.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.343 | 0.179 | 0.946 | 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 | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 94 | 390 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 4.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.470 | 0.527 | 1.077 | 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 | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 116 | 86 | 404 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.77 | 3.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.615 | 0.832 | 1.375 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 62 | 52 | 52 | 51 | 68 | 0 | 78 | 392 |
N.S. |
1 | 0.93 | 0.78 | 0.78 | 0.76 | 1.01 | 0.00 | 1.16 | 5.85 |
time (sec) |
N/A | 0.233 | 0.334 | 0.394 | 0.341 | 0.297 | 0.000 | 0.393 | 11.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 43 | 42 | 37 | 36 | 56 | 0 | 55 | 276 |
N.S. |
1 | 0.96 | 0.93 | 0.82 | 0.80 | 1.24 | 0.00 | 1.22 | 6.13 |
time (sec) |
N/A | 0.235 | 0.234 | 0.323 | 0.426 | 0.281 | 0.000 | 0.351 | 8.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 19 | 18 | 45 | 0 | 24 | 100 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.82 | 2.05 | 0.00 | 1.09 | 4.55 |
time (sec) |
N/A | 0.218 | 0.041 | 0.224 | 0.225 | 0.279 | 0.000 | 0.334 | 4.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 201 | 160 | 149 | 170 | 177 | 0 | 0 | 73 |
N.S. |
1 | 0.96 | 0.76 | 0.71 | 0.81 | 0.84 | 0.00 | 0.00 | 0.35 |
time (sec) |
N/A | 0.461 | 0.179 | 0.175 | 0.325 | 0.246 | 0.000 | 0.000 | 3.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 110 | 525 | 188 | 927 | 0 | 210 | 0 |
N.S. |
1 | 1.00 | 0.49 | 2.33 | 0.84 | 4.12 | 0.00 | 0.93 | 0.00 |
time (sec) |
N/A | 0.447 | 0.408 | 2.173 | 0.312 | 0.384 | 0.000 | 0.321 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 150 | 90 | 265 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.66 | 1.95 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.807 | 0.769 | 1.669 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 115 | 80 | 244 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.74 | 2.26 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.605 | 0.497 | 1.473 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 69 | 221 | 0 | 97 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 2.76 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 0.331 | 1.386 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 58 | 219 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 2.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 0.213 | 3.019 | 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(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 108 | 112 | 96 | 1939 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.89 | 17.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.595 | 0.986 | 3.336 | 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(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 136 | 147 | 131 | 1958 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.96 | 14.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.738 | 2.077 | 6.391 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 62 | 52 | 52 | 51 | 82 | 0 | 78 | 474 |
N.S. |
1 | 0.93 | 0.78 | 0.78 | 0.76 | 1.22 | 0.00 | 1.16 | 7.07 |
time (sec) |
N/A | 0.240 | 0.645 | 0.214 | 0.390 | 0.301 | 0.000 | 0.415 | 18.326 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 43 | 42 | 37 | 36 | 69 | 0 | 55 | 352 |
N.S. |
1 | 0.96 | 0.93 | 0.82 | 0.80 | 1.53 | 0.00 | 1.22 | 7.82 |
time (sec) |
N/A | 0.221 | 0.363 | 236.850 | 0.201 | 0.292 | 0.000 | 0.401 | 8.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 19 | 18 | 55 | 0 | 26 | 230 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.82 | 2.50 | 0.00 | 1.18 | 10.45 |
time (sec) |
N/A | 0.201 | 0.037 | 1.696 | 0.204 | 0.257 | 0.000 | 0.357 | 6.706 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F(-1) | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 197 | 101 | 154 | 176 | 202 | 0 | 0 | 74 |
N.S. |
1 | 0.93 | 0.48 | 0.73 | 0.83 | 0.95 | 0.00 | 0.00 | 0.35 |
time (sec) |
N/A | 0.442 | 0.164 | 0.165 | 0.305 | 0.266 | 0.000 | 0.000 | 3.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 107 | 551 | 194 | 969 | 0 | 231 | 0 |
N.S. |
1 | 1.00 | 0.48 | 2.45 | 0.86 | 4.31 | 0.00 | 1.03 | 0.00 |
time (sec) |
N/A | 0.440 | 0.400 | 2.482 | 0.298 | 0.423 | 0.000 | 0.425 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 253 | 262 | 125 | 641 | 225 | 985 | 0 | 257 | 0 |
N.S. |
1 | 1.04 | 0.49 | 2.53 | 0.89 | 3.89 | 0.00 | 1.02 | 0.00 |
time (sec) |
N/A | 0.449 | 0.320 | 59.813 | 0.595 | 0.427 | 0.000 | 0.430 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 114 | 79 | 219 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.72 | 2.01 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.621 | 0.679 | 1.497 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 68 | 200 | 0 | 97 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 2.53 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.444 | 0.394 | 1.436 | 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 | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 77 | 103 | 0 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.64 | 2.19 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.323 | 0.185 | 0.967 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 126 | 192 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.66 | 2.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.444 | 0.535 | 3.098 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 109 | 111 | 94 | 1906 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.86 | 17.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.582 | 0.993 | 6.227 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 60 | 45 | 41 | 54 | 64 | 0 | 80 | 268 |
N.S. |
1 | 0.92 | 0.69 | 0.63 | 0.83 | 0.98 | 0.00 | 1.23 | 4.12 |
time (sec) |
N/A | 0.248 | 0.534 | 1.559 | 0.257 | 0.291 | 0.000 | 0.522 | 7.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 41 | 32 | 31 | 36 | 54 | 0 | 44 | 64 |
N.S. |
1 | 0.95 | 0.74 | 0.72 | 0.84 | 1.26 | 0.00 | 1.02 | 1.49 |
time (sec) |
N/A | 0.235 | 0.277 | 1.224 | 0.250 | 0.254 | 0.000 | 0.482 | 3.440 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 19 | 18 | 40 | 0 | 18 | 51 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.90 | 2.00 | 0.00 | 0.90 | 2.55 |
time (sec) |
N/A | 0.208 | 0.045 | 0.252 | 0.239 | 0.267 | 0.000 | 0.425 | 2.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F(-1) | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 197 | 82 | 157 | 167 | 235 | 0 | 0 | 76 |
N.S. |
1 | 0.93 | 0.39 | 0.74 | 0.79 | 1.11 | 0.00 | 0.00 | 0.36 |
time (sec) |
N/A | 0.457 | 0.090 | 0.161 | 0.578 | 0.246 | 0.000 | 0.000 | 2.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 249 | 247 | 115 | 937 | 204 | 1034 | 0 | 252 | 0 |
N.S. |
1 | 0.99 | 0.46 | 3.76 | 0.82 | 4.15 | 0.00 | 1.01 | 0.00 |
time (sec) |
N/A | 0.471 | 0.495 | 19.772 | 0.513 | 0.425 | 0.000 | 0.415 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 142 | 104 | 380 | 0 | 222 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.75 | 2.75 | 0.00 | 1.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.772 | 0.876 | 1.615 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 107 | 93 | 367 | 0 | 172 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.89 | 3.53 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.610 | 0.539 | 1.483 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 69 | 352 | 0 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 4.51 | 0.00 | 2.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 0.428 | 1.111 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 66 | 366 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 4.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 0.408 | 1.106 | 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 | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 115 | 77 | 380 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.69 | 3.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.622 | 0.639 | 1.489 | 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 | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 150 | 89 | 393 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.63 | 2.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.764 | 0.910 | 1.388 | 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 | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 113 | 299 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.38 | 3.65 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 0.741 | 1.095 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 114 | 103 | 372 | 0 | 241 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.94 | 3.38 | 0.00 | 2.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.594 | 1.989 | 1.281 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 77 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 0.283 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.302 | 0.152 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 0.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 56 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 0.134 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.126 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 89 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 0.941 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 78 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 0.755 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 77 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 0.659 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 78 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 0.261 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 77 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 0.284 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.221 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 0.082 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 0.084 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.223 | 0.110 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.111 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 58 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.219 | 0.169 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.124 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 0.112 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 0.298 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 59 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.220 | 0.291 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 130 | 131 | 195 | 0 | 788 | 0 | 0 | 0 |
N.S. |
1 | 0.73 | 0.74 | 1.10 | 0.00 | 4.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.502 | 0.823 | 17.762 | 0.000 | 0.402 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 73 | 454 | 0 | 105 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 4.88 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.528 | 10.548 | 2.479 | 0.000 | 0.097 | 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 | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 88 | 101 | 129 | 0 | 654 | 0 | 0 | 0 |
N.S. |
1 | 0.67 | 0.77 | 0.98 | 0.00 | 4.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.359 | 0.551 | 17.512 | 0.000 | 0.375 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 66 | 342 | 0 | 66 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 6.22 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.361 | 0.518 | 2.737 | 0.000 | 0.088 | 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 | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 35 | 0 | 50 | 53 | 0 | 55 |
N.S. |
1 | 1.00 | 1.00 | 1.03 | 0.00 | 1.47 | 1.56 | 0.00 | 1.62 |
time (sec) |
N/A | 0.238 | 0.457 | 1.334 | 0.000 | 0.258 | 4.948 | 0.000 | 3.747 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 70 | 454 | 0 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 4.78 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.500 | 0.917 | 2.902 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 53 | 47 | 0 | 63 | 0 | 0 | 69 |
N.S. |
1 | 1.00 | 0.74 | 0.65 | 0.00 | 0.88 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.382 | 0.709 | 1.557 | 0.000 | 0.250 | 0.000 | 0.000 | 3.797 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 137 | 86 | 468 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.65 | 3.55 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.720 | 1.144 | 2.596 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 132 | 83 | 295 | 0 | 140 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.63 | 2.25 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.686 | 5.621 | 2.604 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 125 | 130 | 189 | 0 | 769 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 0.77 | 1.12 | 0.00 | 4.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 0.900 | 20.763 | 0.000 | 0.374 | 0.000 | 0.000 | 0.000 |