2.3 Detailed conclusion table specific for Rubi results
The following table is specific to Rubi only. 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 also given. The larger this ratio is, the harder the
integral is to solve. In this test file, problem number [6] had the largest ratio of
[.625000000000000000]
| | | | | | |
| # |
grade |
|
|
| normalized | | antiderivative |
| leaf size |
|
|
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\) |
| | | | | | |
|
|
|
|
|
|
|
|
| 1 |
A |
8 |
8 |
1.03 |
15 |
0.533 |
| | | | | | |
| 2 |
A |
4 |
4 |
1.02 |
13 |
0.308 |
| | | | | | |
| 3 |
A |
3 |
3 |
1.00 |
11 |
0.273 |
| | | | | | |
| 4 |
N/A |
1 |
0 |
1.00 |
15 |
0.000 |
| | | | | | |
| 5 |
A |
1 |
1 |
1.00 |
32 |
0.031 |
| | | | | | |
| 6 |
A |
10 |
10 |
1.04 |
16 |
0.625 |
| | | | | | |
| 7 |
A |
5 |
5 |
1.02 |
14 |
0.357 |
| | | | | | |
| 8 |
A |
4 |
4 |
1.00 |
12 |
0.333 |
| | | | | | |
| 9 |
N/A |
1 |
0 |
1.00 |
16 |
0.000 |
| | | | | | |
| 10 |
A |
1 |
1 |
1.00 |
34 |
0.029 |
| | | | | | |
| 11 |
A |
6 |
6 |
1.06 |
13 |
0.462 |
| | | | | | |
| 12 |
A |
3 |
3 |
1.00 |
11 |
0.273 |
| | | | | | |
| 13 |
A |
2 |
2 |
1.00 |
9 |
0.222 |
| | | | | | |
| 14 |
N/A |
1 |
0 |
1.00 |
13 |
0.000 |
| | | | | | |
| 15 |
N/A |
4 |
0 |
1.00 |
13 |
0.000 |
| | | | | | |
| 16 |
A |
2 |
2 |
1.00 |
17 |
0.118 |
| | | | | | |
| 17 |
A |
2 |
2 |
1.00 |
15 |
0.133 |
| | | | | | |
| 18 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
| | | | | | |
| 19 |
N/A |
2 |
0 |
1.00 |
17 |
0.000 |
| | | | | | |
| 20 |
A |
2 |
2 |
1.00 |
18 |
0.111 |
| | | | | | |
| 21 |
A |
2 |
2 |
1.00 |
16 |
0.125 |
| | | | | | |
| 22 |
A |
2 |
2 |
1.00 |
14 |
0.143 |
| | | | | | |
| 23 |
N/A |
2 |
0 |
1.00 |
18 |
0.000 |
| | | | | | |
| 24 |
A |
2 |
2 |
1.00 |
15 |
0.133 |
| | | | | | |
| 25 |
A |
2 |
2 |
1.00 |
13 |
0.154 |
| | | | | | |
| 26 |
A |
2 |
2 |
1.00 |
11 |
0.182 |
| | | | | | |
| 27 |
N/A |
2 |
0 |
1.00 |
15 |
0.000 |
| | | | | | |
| 28 |
N/A |
2 |
0 |
1.00 |
15 |
0.000 |
| | | | | | |
| 29 |
A |
8 |
8 |
0.99 |
19 |
0.421 |
| | | | | | |
| 30 |
A |
4 |
4 |
0.96 |
17 |
0.235 |
| | | | | | |
| 31 |
N/A |
1 |
0 |
1.00 |
19 |
0.000 |
| | | | | | |
| 32 |
A |
2 |
2 |
1.00 |
21 |
0.095 |
| | | | | | |
| 33 |
A |
2 |
2 |
1.00 |
19 |
0.105 |
| | | | | | |
| 34 |
N/A |
2 |
0 |
1.00 |
21 |
0.000 |
| | | | | | |
| | | | | | |