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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 [1.33332999999999990]

# 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 8 7 1.25 10 0.700
2 A 7 6 1.25 10 0.600
3 A 6 5 1.13 8 0.625
4 N/A 2 0 1.00 10 0.000
5 N/A 2 0 1.00 10 0.000
6 A 10 9 1.24 12 0.750
7 A 9 8 1.19 12 0.667
8 A 5 5 1.00 10 0.500
9 N/A 2 0 1.00 12 0.000
10 N/A 2 0 1.00 12 0.000
11 A 17 16 1.20 12 1.333
12 A 13 12 1.16 12 1.000
13 A 10 9 1.09 10 0.900
14 N/A 2 0 1.00 12 0.000
15 N/A 2 0 1.00 12 0.000
16 A 1 1 1.00 45 0.022
17 F 0 0 N/A 0.000 N/A
18 A 9 9 1.09 23 0.391
19 A 7 7 1.07 23 0.304
20 A 5 5 1.07 21 0.238
21 A 7 7 0.94 23 0.304
22 A 7 7 0.99 23 0.304
23 A 9 9 0.99 23 0.391
24 A 3 3 1.00 23 0.130
25 A 3 3 1.00 23 0.130
26 A 3 3 1.00 21 0.143
27 A 3 3 1.00 23 0.130
28 A 3 3 1.00 23 0.130
29 A 3 3 1.00 23 0.130
30 A 3 3 1.00 23 0.130
31 A 3 3 1.00 21 0.143
32 A 3 3 1.00 23 0.130
33 A 3 3 1.00 23 0.130
34 N/A 2 0 1.00 23 0.000
35 N/A 2 0 1.00 21 0.000
36 A 3 3 1.00 23 0.130
37 A 3 3 1.00 23 0.130
38 A 3 3 1.00 23 0.130
39 A 3 3 1.00 18 0.167
40 A 3 3 1.00 18 0.167
41 A 3 3 1.00 16 0.188
42 N/A 2 0 1.00 18 0.000
43 N/A 2 0 1.00 18 0.000
44 A 3 3 1.00 20 0.150
45 A 3 3 1.00 20 0.150
46 A 3 3 0.99 18 0.167
47 N/A 2 0 1.00 20 0.000
48 N/A 2 0 1.00 20 0.000
49 A 3 3 1.00 20 0.150
50 A 3 3 0.98 20 0.150
51 A 3 3 0.99 18 0.167
52 N/A 2 0 1.00 20 0.000
53 N/A 2 0 1.00 20 0.000
54 A 8 7 1.01 20 0.350
55 A 7 6 1.04 20 0.300
56 A 6 5 1.06 18 0.278
57 N/A 2 0 1.00 20 0.000
58 N/A 2 0 1.00 20 0.000
59 A 3 3 1.00 20 0.150
60 A 3 3 1.00 20 0.150
61 A 8 7 1.07 18 0.389
62 N/A 2 0 1.00 20 0.000
63 N/A 2 0 1.00 20 0.000

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