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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 [35] had the largest ratio of [.225806000000000007]

# 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 1.00 29 0.069
2 A 2 2 1.00 29 0.069
3 A 2 2 1.00 27 0.074
4 A 2 2 1.00 20 0.100
5 A 2 2 1.00 29 0.069
6 A 4 4 1.01 29 0.138
7 A 4 4 1.04 29 0.138
8 A 2 2 1.00 31 0.065
9 A 2 2 1.00 31 0.065
10 A 2 2 1.00 29 0.069
11 A 2 2 1.00 22 0.091
12 A 2 2 1.00 31 0.065
13 A 4 4 0.99 31 0.129
14 A 6 6 1.02 31 0.194
15 A 2 2 1.00 31 0.065
16 A 2 2 1.00 31 0.065
17 A 2 2 1.00 29 0.069
18 A 2 2 1.00 22 0.091
19 A 2 2 1.00 31 0.065
20 A 4 4 0.95 31 0.129
21 A 2 2 1.00 31 0.065
22 A 2 2 1.00 31 0.065
23 A 2 2 1.00 31 0.065
24 A 2 2 1.00 29 0.069
25 A 2 2 1.00 22 0.091
26 A 2 2 1.00 31 0.065
27 A 4 4 1.08 31 0.129
28 A 5 5 1.10 31 0.161
29 A 4 4 0.95 31 0.129
30 A 4 4 0.99 31 0.129
31 A 4 4 1.01 29 0.138
32 A 2 2 1.00 22 0.091
33 A 4 4 1.09 31 0.129
34 A 5 5 1.09 31 0.161
35 A 7 7 1.08 31 0.226
36 A 6 6 1.02 31 0.194
37 A 4 4 1.04 29 0.138
38 A 2 2 1.00 22 0.091
39 A 5 5 1.10 31 0.161
40 A 6 6 1.09 31 0.194
41 A 4 4 1.00 31 0.129
42 A 5 5 0.94 29 0.172
43 A 2 2 1.00 31 0.065
44 A 4 4 0.95 31 0.129
45 A 5 4 1.08 47 0.085
46 A 5 4 1.14 55 0.073

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