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 | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 172 | 176 | 175 | 179 | 236 | 210 | 182 |
N.S. | 1 | 1.00 | 1.00 | 1.02 | 1.02 | 1.04 | 1.37 | 1.22 | 1.06 |
time (sec) |
N/A | 0.135 | 0.064 | 0.154 | 0.264 | 0.968 | 0.022 | 1.430 | 0.102 |
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 | 130 | 130 | 130 | 135 | 135 | 139 | 173 | 161 | 143 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.04 | 1.07 | 1.33 | 1.24 | 1.10 |
time (sec) |
N/A | 0.087 | 0.048 | 0.157 | 0.268 | 0.835 | 0.018 | 1.348 | 0.838 |
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 | 94 | 94 | 96 | 94 | 95 | 99 | 121 | 114 | 99 |
N.S. | 1 | 1.00 | 1.02 | 1.00 | 1.01 | 1.05 | 1.29 | 1.21 | 1.05 |
time (sec) |
N/A | 0.056 | 0.027 | 0.146 | 0.272 | 0.988 | 0.015 | 0.966 | 0.047 |
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 | 56 | 56 | 56 | 53 | 55 | 59 | 63 | 66 | 54 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.98 | 1.05 | 1.12 | 1.18 | 0.96 |
time (sec) |
N/A | 0.026 | 0.010 | 0.127 | 0.260 | 0.921 | 0.009 | 1.321 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 72 | 74 | 73 | 191 | 206 | 80 | 108 |
N.S. | 1 | 1.00 | 0.89 | 0.91 | 0.90 | 2.36 | 2.54 | 0.99 | 1.33 |
time (sec) |
N/A | 0.053 | 0.039 | 0.138 | 0.519 | 0.954 | 0.387 | 1.181 | 0.115 |
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 | 108 | 108 | 95 | 97 | 96 | 313 | 190 | 95 | 95 |
N.S. | 1 | 1.00 | 0.88 | 0.90 | 0.89 | 2.90 | 1.76 | 0.88 | 0.88 |
time (sec) |
N/A | 0.057 | 0.047 | 0.133 | 0.476 | 0.668 | 0.735 | 1.279 | 0.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 130 | 132 | 140 | 469 | 246 | 135 | 136 |
N.S. | 1 | 1.00 | 1.00 | 1.02 | 1.08 | 3.61 | 1.89 | 1.04 | 1.05 |
time (sec) |
N/A | 0.074 | 0.058 | 0.139 | 0.560 | 0.961 | 1.623 | 1.148 | 0.968 |
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 | 171 | 171 | 171 | 163 | 189 | 647 | 313 | 184 | 176 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 1.11 | 3.78 | 1.83 | 1.08 | 1.03 |
time (sec) |
N/A | 0.109 | 0.073 | 0.139 | 0.518 | 0.937 | 3.554 | 0.690 | 0.177 |
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 | 226 | 226 | 226 | 237 | 240 | 242 | 304 | 283 | 233 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 1.06 | 1.07 | 1.35 | 1.25 | 1.03 |
time (sec) |
N/A | 0.144 | 0.060 | 0.167 | 0.268 | 0.882 | 0.027 | 0.982 | 0.857 |
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 | 158 | 158 | 158 | 169 | 172 | 175 | 216 | 202 | 158 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 1.09 | 1.11 | 1.37 | 1.28 | 1.00 |
time (sec) |
N/A | 0.114 | 0.044 | 0.158 | 0.358 | 1.191 | 0.024 | 1.158 | 0.069 |
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 | 94 | 94 | 96 | 101 | 104 | 108 | 121 | 120 | 99 |
N.S. | 1 | 1.00 | 1.02 | 1.07 | 1.11 | 1.15 | 1.29 | 1.28 | 1.05 |
time (sec) |
N/A | 0.055 | 0.022 | 0.148 | 0.271 | 1.422 | 0.014 | 1.244 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 115 | 170 | 161 | 364 | 347 | 178 | 203 |
N.S. | 1 | 1.00 | 0.81 | 1.20 | 1.13 | 2.56 | 2.44 | 1.25 | 1.43 |
time (sec) |
N/A | 0.141 | 0.046 | 0.135 | 0.509 | 0.781 | 0.580 | 0.636 | 0.857 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 134 | 182 | 186 | 552 | 483 | 195 | 257 |
N.S. | 1 | 1.00 | 0.82 | 1.11 | 1.13 | 3.37 | 2.95 | 1.19 | 1.57 |
time (sec) |
N/A | 0.152 | 0.066 | 0.155 | 0.492 | 1.003 | 1.501 | 0.672 | 0.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 183 | 230 | 233 | 776 | 400 | 238 | 243 |
N.S. | 1 | 1.00 | 0.88 | 1.11 | 1.13 | 3.75 | 1.93 | 1.15 | 1.17 |
time (sec) |
N/A | 0.160 | 0.088 | 0.167 | 0.504 | 2.478 | 7.023 | 0.633 | 0.976 |
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 | 240 | 240 | 242 | 289 | 301 | 1033 | 0 | 311 | 303 |
N.S. |
1 | 1.00 | 1.01 | 1.20 | 1.25 | 4.30 | 0.00 | 1.30 | 1.26 |
time (sec) |
N/A | 0.183 | 0.114 | 0.163 | 0.515 | 1.223 | 0.000 | 0.633 | 0.976 |
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 | 310 | 310 | 310 | 339 | 333 | 337 | 423 | 401 | 335 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.07 | 1.09 | 1.36 | 1.29 | 1.08 |
time (sec) |
N/A | 0.215 | 0.089 | 0.169 | 0.280 | 0.808 | 0.033 | 0.548 | 0.116 |
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 | 226 | 226 | 226 | 244 | 246 | 245 | 304 | 289 | 233 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.09 | 1.08 | 1.35 | 1.28 | 1.03 |
time (sec) |
N/A | 0.146 | 0.059 | 0.168 | 0.279 | 1.063 | 0.026 | 0.581 | 0.846 |
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 | 130 | 130 | 130 | 149 | 152 | 153 | 173 | 173 | 143 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 1.17 | 1.18 | 1.33 | 1.33 | 1.10 |
time (sec) |
N/A | 0.092 | 0.036 | 0.148 | 0.271 | 1.133 | 0.018 | 0.769 | 0.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 179 | 300 | 272 | 581 | 508 | 307 | 312 |
N.S. | 1 | 1.00 | 0.79 | 1.32 | 1.20 | 2.56 | 2.24 | 1.35 | 1.37 |
time (sec) |
N/A | 0.252 | 0.067 | 0.137 | 0.501 | 1.872 | 0.919 | 1.003 | 0.849 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 176 | 308 | 298 | 824 | 661 | 321 | 389 |
N.S. | 1 | 1.00 | 0.73 | 1.27 | 1.23 | 3.40 | 2.73 | 1.33 | 1.61 |
time (sec) |
N/A | 0.275 | 0.089 | 0.166 | 0.487 | 1.182 | 2.654 | 1.246 | 0.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 219 | 344 | 345 | 1104 | 865 | 371 | 495 |
N.S. | 1 | 1.00 | 0.75 | 1.18 | 1.19 | 3.79 | 2.97 | 1.27 | 1.70 |
time (sec) |
N/A | 0.270 | 0.109 | 0.171 | 0.570 | 1.470 | 59.616 | 1.681 | 0.223 |
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 | 348 | 348 | 295 | 417 | 416 | 1424 | 0 | 447 | 444 |
N.S. |
1 | 1.00 | 0.85 | 1.20 | 1.20 | 4.09 | 0.00 | 1.28 | 1.28 |
time (sec) |
N/A | 0.286 | 0.143 | 0.181 | 0.493 | 1.448 | 0.000 | 1.264 | 1.187 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 544 | 544 | 373 | 1332 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.453 | 3.365 | 0.176 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 267 | 865 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 2.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.243 | 1.704 | 0.132 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 212 | 394 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 1.39 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.123 | 1.530 | 0.127 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 192 | 328 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.116 | 2.677 | 0.127 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 297 | 1237 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 4.51 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.137 | 3.738 | 0.140 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 379 | 2861 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 7.43 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.261 | 4.135 | 0.154 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 372 | 1331 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.429 | 3.345 | 0.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 400 | 400 | 275 | 870 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 2.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.287 | 3.273 | 0.147 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 248 | 671 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.269 | 5.056 | 0.173 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 373 | 373 | 296 | 1225 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 3.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.260 | 5.855 | 0.143 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 376 | 376 | 382 | 2860 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 7.61 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.275 | 6.238 | 0.138 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 531 | 531 | 545 | 5113 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.03 | 9.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.423 | 6.714 | 0.159 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 551 | 551 | 386 | 1386 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 2.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.431 | 4.275 | 0.142 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 279 | 924 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 2.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.299 | 3.302 | 0.136 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 215 | 501 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.125 | 1.590 | 0.127 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 131 | 158 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.069 | 2.953 | 0.115 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 206 | 334 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.057 | 7.296 | 0.120 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 302 | 1352 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 4.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.139 | 9.826 | 0.125 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 401 | 401 | 393 | 3039 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 7.58 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.279 | 10.920 | 0.133 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 501 | 501 | 369 | 1169 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 2.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.403 | 6.194 | 0.180 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 358 | 358 | 260 | 750 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 2.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.251 | 5.213 | 0.149 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 208 | 393 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.114 | 2.751 | 0.123 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 212 | 349 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.058 | 7.029 | 0.136 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 272 | 272 | 262 | 581 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 2.14 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.146 | 10.510 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 375 | 375 | 428 | 1742 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.14 | 4.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.265 | 11.492 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 212 | 349 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.060 | 7.326 | 0.129 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 220 | 349 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.157 | 7.537 | 0.125 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 213 | 333 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 1.41 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.146 | 7.380 | 0.125 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 221 | 338 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.162 | 7.436 | 0.117 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 81 | 105 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.42 | 0.55 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.067 | 2.740 | 0.130 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 142 | 367 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.54 | 1.40 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.115 | 1.253 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 186 | 775 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.52 | 2.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.214 | 1.261 | 0.134 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 104 | 2538 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 22.46 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.151 | 2.564 | 0.470 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 526 | 526 | 203 | 2477 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.39 | 4.71 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.427 | 2.600 | 0.318 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 141 | 707 | 0 | 786 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.10 | 5.52 | 0.00 | 6.14 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.101 | 0.382 | 0.175 | 0.000 | 2.253 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 304 | 304 | 214 | 591 | 0 | 1772 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 1.94 | 0.00 | 5.83 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.211 | 0.590 | 0.175 | 0.000 | 10.185 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 151 | 449 | 0 | 1166 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 2.70 | 0.00 | 7.02 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.076 | 0.315 | 0.136 | 0.000 | 2.525 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 111 | 352 | 0 | 782 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.22 | 3.87 | 0.00 | 8.59 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.250 | 0.109 | 0.000 | 1.727 | 0.000 | 0.000 | 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 | 49 | 49 | 70 | 306 | 0 | 258 | 0 | 74 | -1 |
N.S. | 1 | 1.00 | 1.43 | 6.24 | 0.00 | 5.27 | 0.00 | 1.51 | -0.02 |
time (sec) |
N/A | 0.014 | 0.085 | 0.112 | 0.000 | 0.954 | 0.000 | 1.029 | 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 | 122 | 122 | 153 | 782 | 0 | 1377 | 0 | 173 | -1 |
N.S. | 1 | 1.00 | 1.25 | 6.41 | 0.00 | 11.29 | 0.00 | 1.42 | -0.01 |
time (sec) |
N/A | 0.078 | 0.381 | 0.123 | 0.000 | 58.266 | 0.000 | 1.267 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | B | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 531 | 1400 | 0 | 0 | 0 | 479 | -1 |
N.S. |
1 | 1.00 | 2.62 | 6.90 | 0.00 | 0.00 | 0.00 | 2.36 | -0.00 |
time (sec) |
N/A | 0.189 | 14.002 | 0.118 | 0.000 | 0.000 | 0.000 | 7.963 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 608 | 776 | 456 | 1891 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.28 | 0.75 | 3.11 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.521 | 5.621 | 0.228 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 400 | 400 | 346 | 1059 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.195 | 4.058 | 0.194 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 321 | 321 | 184 | 340 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.57 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.123 | 1.725 | 0.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 143 | 191 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.40 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.022 | 1.847 | 0.133 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 347 | 390 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.66 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.069 | 3.790 | 0.156 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 401 | 401 | 427 | 2068 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 5.16 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.247 | 6.451 | 0.156 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 630 | 630 | 584 | 6245 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.93 | 9.91 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.484 | 6.062 | 0.175 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 659 | 784 | 445 | 1939 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.19 | 0.68 | 2.94 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.504 | 6.816 | 0.233 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 403 | 403 | 739 | 1028 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.83 | 2.55 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.194 | 3.710 | 0.179 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 328 | 328 | 184 | 300 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.125 | 3.440 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 492 | 630 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.20 | 2.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.073 | 6.354 | 0.155 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 391 | 391 | 999 | 1876 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.55 | 4.80 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.262 | 7.219 | 0.160 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 639 | 639 | 570 | 6211 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 9.72 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.512 | 7.900 | 0.164 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 621 | 621 | 350 | 988 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.307 | 4.976 | 0.189 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 319 | 319 | 197 | 341 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.119 | 3.511 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 143 | 191 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.40 | 1.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.023 | 1.822 | 0.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 101 | 118 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.078 | 2.250 | 0.134 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 344 | 344 | 365 | 413 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 1.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.147 | 4.404 | 0.145 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 435 | 435 | 433 | 2062 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 4.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.371 | 6.688 | 0.155 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 980 | 980 | 352 | 1063 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.36 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.752 | 7.094 | 0.160 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 304 | 594 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.36 | 2.66 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.079 | 6.169 | 0.151 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 207 | 285 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.068 | 3.600 | 0.144 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 344 | 344 | 221 | 303 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.147 | 4.283 | 0.146 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 539 | 539 | 418 | 956 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.320 | 8.419 | 0.172 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 814 | 814 | 1645 | 4115 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.02 | 5.06 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.631 | 10.037 | 0.189 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 239 | 204 | 370 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 0.99 | 0.84 | 1.53 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.095 | 2.223 | 0.219 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 71 | 121 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.37 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 0.900 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 50 | 64 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.86 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.013 | 0.874 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 122 | 147 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 1.21 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.041 | 2.219 | 0.146 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 357 | 477 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.66 | 2.22 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.093 | 3.077 | 0.156 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 134 | 293 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.45 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.118 | 1.566 | 0.131 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 94 | 133 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.01 | 1.43 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 1.630 | 0.138 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 53 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.028 | 1.862 | 0.137 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 37 | 35 | 0 | 13 | 19 | 0 | -1 |
N.S. | 1 | 1.00 | 1.03 | 0.97 | 0.00 | 0.36 | 0.53 | 0.00 | -0.03 |
time (sec) |
N/A | 0.017 | 0.488 | 0.165 | 0.000 | 0.380 | 2.067 | 0.000 | 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 | 113 | 113 | 131 | 848 | 0 | 523 | 0 | 336 | -1 |
N.S. | 1 | 1.00 | 1.16 | 7.50 | 0.00 | 4.63 | 0.00 | 2.97 | -0.01 |
time (sec) |
N/A | 0.078 | 0.552 | 0.120 | 0.000 | 3.918 | 0.000 | 2.320 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 359 | 359 | 422 | 773 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.210 | 3.424 | 0.161 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 401 | 765 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.05 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.192 | 3.100 | 0.155 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |