[prev] [prev-tail] [tail] [up]

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 [7] had the largest ratio of [.392857000000000012]

# grade
number of
steps
used
number of
unique
rules
normalized
antiderivative
leaf size
integrand
leaf size
\(\frac {\text {number of rules}}{\text {integrand leaf size}}\)
1 A 2 2 1.94 28 0.071
2 A 2 2 1.92 28 0.071
3 A 2 2 1.56 26 0.077
4 A 4 4 1.01 19 0.211
5 A 4 4 1.04 28 0.143
6 A 9 9 0.94 28 0.321
7 A 11 11 0.90 28 0.393
8 A 2 2 1.00 28 0.071
9 A 2 2 1.00 28 0.071
10 A 2 2 1.00 26 0.077
11 A 6 6 1.00 19 0.316
12 A 2 2 1.00 28 0.071
13 A 2 2 1.00 28 0.071
14 A 2 2 1.00 28 0.071
15 A 2 2 1.00 26 0.077
16 A 2 2 1.00 27 0.074
17 A 7 7 0.91 33 0.212
18 A 7 7 0.94 33 0.212
19 A 5 5 0.97 31 0.161
20 A 4 4 1.01 24 0.167
21 A 4 4 1.03 33 0.121
22 A 9 9 0.93 33 0.273
23 A 11 11 0.88 33 0.333
24 A 7 7 0.89 33 0.212
25 A 6 6 0.92 33 0.182
26 A 6 6 0.93 31 0.194
27 A 6 6 0.96 24 0.250
28 A 2 2 1.21 33 0.061
29 A 2 2 1.62 33 0.061
30 A 1 1 1.00 41 0.024
31 A 1 1 1.00 41 0.024
32 A 5 5 1.00 31 0.161
33 A 2 2 1.00 31 0.065
34 A 11 10 1.08 28 0.357
35 A 4 3 1.32 30 0.100
36 A 1 1 1.00 30 0.033
37 A 9 8 0.70 38 0.211
38 A 9 8 0.67 37 0.216
39 A 12 11 0.73 40 0.275
40 A 13 12 0.72 40 0.300
41 A 11 10 0.69 40 0.250
42 A 12 11 0.75 40 0.275

[prev] [prev-tail] [front] [up]