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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 [3] had the largest ratio of [.187500000000000000]

# 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 3 3 1.00 18 0.167
2 A 3 3 1.00 18 0.167
3 A 3 3 1.00 16 0.188
4 N/A 2 0 1.00 18 0.000
5 N/A 2 0 1.00 18 0.000
6 A 3 3 1.00 20 0.150
7 A 3 3 1.00 20 0.150
8 A 3 3 1.00 18 0.167
9 N/A 2 0 1.00 20 0.000
10 N/A 2 0 1.00 20 0.000
11 A 3 3 1.00 20 0.150
12 A 3 3 1.00 20 0.150
13 A 3 3 1.00 18 0.167
14 N/A 2 0 1.00 20 0.000
15 N/A 2 0 1.00 20 0.000
16 A 3 3 1.00 20 0.150
17 A 3 3 1.00 20 0.150
18 A 3 3 1.00 18 0.167
19 N/A 2 0 1.00 20 0.000
20 N/A 2 0 1.00 20 0.000
21 N/A 2 0 1.00 20 0.000
22 N/A 2 0 1.00 18 0.000
23 N/A 2 0 1.00 20 0.000
24 A 3 3 1.00 18 0.167
25 A 3 3 1.00 18 0.167
26 A 3 3 1.00 16 0.188
27 N/A 2 0 1.00 18 0.000
28 N/A 2 0 1.00 18 0.000
29 A 3 3 1.00 20 0.150
30 A 3 3 1.00 20 0.150
31 A 3 3 1.00 18 0.167
32 N/A 2 0 1.00 20 0.000
33 N/A 2 0 1.00 20 0.000
34 A 3 3 1.00 20 0.150
35 A 3 3 1.00 20 0.150
36 A 3 3 1.00 18 0.167
37 N/A 2 0 1.00 20 0.000
38 N/A 2 0 1.00 20 0.000
39 A 3 3 1.00 20 0.150
40 A 3 3 1.00 20 0.150
41 A 3 3 1.00 18 0.167
42 N/A 2 0 1.00 20 0.000
43 N/A 2 0 1.00 20 0.000
44 N/A 2 0 1.00 20 0.000
45 N/A 2 0 1.00 18 0.000
46 N/A 2 0 1.00 20 0.000

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