2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi. It gives additional statistics for each integral. the column
steps is the number of steps used by Rubi to obtain the antiderivative. The rules
column is the number of unique rules used. The integrand size column is the leaf
size of the integrand. Finally the ratio \(\frac {\text {number of rules}}{\text {integrand size}}\) is given. The larger this ratio is, the harder
the integral was to solve. In this test, problem number [10] had the largest ratio of
[63]
| | | | | | |
| # |
grade |
|
|
| normalized | | antiderivative |
| leaf size |
|
|
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\) |
| | | | | | |
|
|
|
|
|
|
|
|
| 1 |
A |
37 |
16 |
1.00 |
55 |
0.291 |
| | | | | | |
| 2 |
A |
3 |
2 |
1.00 |
16 |
0.125 |
| | | | | | |
| 3 |
A |
9 |
4 |
1.00 |
22 |
0.182 |
| | | | | | |
| 4 |
A |
11 |
4 |
1.00 |
27 |
0.148 |
| | | | | | |
| 5 |
A |
13 |
4 |
1.00 |
32 |
0.125 |
| | | | | | |
| 6 |
A |
4 |
3 |
1.00 |
16 |
0.188 |
| | | | | | |
| 7 |
A |
15 |
8 |
1.00 |
22 |
0.364 |
| | | | | | |
| 8 |
A |
24 |
8 |
1.00 |
27 |
0.296 |
| | | | | | |
| 9 |
A |
33 |
8 |
1.00 |
32 |
0.250 |
| | | | | | |
| 10 |
A |
2 |
2 |
1.00 |
63 |
0.032 |
| | | | | | |
| 11 |
A |
1 |
1 |
1.00 |
45 |
0.022 |
| | | | | | |
| 12 |
A |
1 |
1 |
1.00 |
52 |
0.019 |
| | | | | | |
| 13 |
A |
2 |
2 |
1.00 |
54 |
0.037 |
| | | | | | |
| 14 |
A |
1 |
1 |
1.00 |
61 |
0.016 |
| | | | | | |
| 15 |
A |
2 |
2 |
1.00 |
63 |
0.032 |
| | | | | | |
| 16 |
A |
1 |
1 |
1.00 |
56 |
0.018 |
| | | | | | |
| 17 |
A |
4 |
3 |
1.00 |
38 |
0.079 |
| | | | | | |
| | | | | | |