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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 [8] had the largest ratio of [1.11111000000000004]

# 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 9 0.222
2 A 2 2 1.00 9 0.222
3 A 2 2 1.00 9 0.222
4 A 2 2 1.00 9 0.222
5 A 1 1 1.00 7 0.143
6 A 9 8 0.97 9 0.889
7 A 10 9 1.01 9 1.000
8 A 11 10 1.07 9 1.111
9 A 9 8 0.98 10 0.800
10 A 8 7 0.98 11 0.636
11 A 9 8 0.96 10 0.800
12 A 10 9 0.98 11 0.818
13 A 4 4 1.02 11 0.364
14 A 3 3 1.01 11 0.273
15 A 2 2 1.00 11 0.182
16 A 1 1 1.00 11 0.091
17 A 2 2 1.00 11 0.182
18 A 3 3 1.03 11 0.273
19 A 4 4 1.06 11 0.364
20 A 1 1 1.00 9 0.111
21 A 1 1 1.00 11 0.091
22 A 1 1 1.00 9 0.111
23 A 1 1 1.00 11 0.091
24 A 3 3 1.02 11 0.273
25 A 2 2 1.01 11 0.182
26 A 1 1 1.00 11 0.091
27 A 1 1 1.00 11 0.091
28 A 2 2 1.00 11 0.182
29 A 3 3 1.14 11 0.273
30 A 4 4 1.21 11 0.364
31 A 2 2 1.00 11 0.182
32 A 2 2 1.00 11 0.182
33 A 2 2 1.00 11 0.182
34 A 2 2 1.00 11 0.182
35 A 1 1 1.00 12 0.083
36 A 1 1 1.00 9 0.111
37 A 2 2 1.00 11 0.182
38 A 2 2 1.00 11 0.182
39 A 2 2 1.00 11 0.182
40 A 2 2 1.00 11 0.182
41 A 2 2 1.00 11 0.182

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