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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 [11] had the largest ratio of [1.91667000000000010]

# 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 C 9 8 1.63 10 0.800
2 C 8 7 1.68 10 0.700
3 C 7 6 1.58 8 0.750
4 N/A 3 0 1.00 10 0.000
5 N/A 3 0 1.00 10 0.000
6 C 13 12 1.51 12 1.000
7 C 12 11 1.48 12 0.917
8 C 8 8 1.13 10 0.800
9 N/A 3 0 1.00 12 0.000
10 N/A 3 0 1.00 12 0.000
11 C 24 23 1.49 12 1.917
12 C 20 19 1.47 12 1.583
13 C 15 14 1.37 10 1.400
14 N/A 3 0 1.00 12 0.000
15 N/A 3 0 1.00 12 0.000
16 A 9 9 1.06 20 0.450
17 A 7 7 1.04 20 0.350
18 A 5 5 1.05 18 0.278
19 C 12 12 1.00 20 0.600
20 C 12 12 1.06 20 0.600
21 C 14 14 1.04 20 0.700
22 A 3 3 1.00 20 0.150
23 A 3 3 1.00 20 0.150
24 A 3 3 1.00 18 0.167
25 A 3 3 1.00 20 0.150
26 A 3 3 1.00 20 0.150
27 A 3 3 1.00 20 0.150
28 A 3 3 1.00 20 0.150
29 A 3 3 0.99 18 0.167
30 A 3 3 1.00 20 0.150
31 A 3 3 1.00 20 0.150
32 N/A 2 0 1.00 20 0.000
33 N/A 2 0 1.00 18 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 20 0.150
37 A 3 3 1.00 18 0.167
38 A 3 3 1.00 18 0.167
39 A 3 3 1.00 16 0.188
40 N/A 2 0 1.00 18 0.000
41 N/A 2 0 1.00 18 0.000
42 A 3 3 1.00 20 0.150
43 A 3 3 1.00 20 0.150
44 A 3 3 1.00 18 0.167
45 N/A 2 0 1.00 20 0.000
46 N/A 2 0 1.00 20 0.000
47 A 3 3 1.00 20 0.150
48 A 3 3 1.00 20 0.150
49 A 3 3 1.00 18 0.167
50 N/A 2 0 1.00 20 0.000
51 N/A 2 0 1.00 20 0.000
52 A 9 8 0.95 20 0.400
53 A 8 7 0.99 20 0.350
54 A 7 6 1.04 18 0.333
55 N/A 2 0 1.00 20 0.000
56 N/A 2 0 1.00 20 0.000
57 A 3 3 1.00 20 0.150
58 A 3 3 1.00 20 0.150
59 A 10 9 1.09 18 0.500
60 N/A 2 0 1.00 20 0.000
61 N/A 2 0 1.00 20 0.000

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