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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 [.833300000000000041]

# 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 6 6 1.00 10 0.600
2 A 5 5 1.00 10 0.500
3 A 4 4 1.00 8 0.500
4 N/A 0 0 1.00 10 0.000
5 N/A 0 0 1.00 10 0.000
6 A 7 7 1.00 12 0.583
7 A 6 6 1.00 12 0.500
8 A 3 3 1.00 10 0.300
9 N/A 0 0 1.00 12 0.000
10 N/A 0 0 1.00 12 0.000
11 A 13 10 1.00 12 0.833
12 A 9 8 1.00 12 0.667
13 A 7 7 1.00 10 0.700
14 N/A 0 0 1.00 12 0.000
15 N/A 0 0 1.00 12 0.000
16 A 5 3 1.00 23 0.130
17 A 4 3 1.00 23 0.130
18 A 3 3 1.00 21 0.143
19 A 7 4 1.00 23 0.174
20 A 7 4 1.00 23 0.174
21 A 8 5 1.00 23 0.217
22 A 10 3 1.00 23 0.130
23 A 8 3 1.00 23 0.130
24 A 7 3 1.00 21 0.143
25 A 21 5 1.00 23 0.217
26 A 24 7 1.00 23 0.304
27 A 14 3 1.00 23 0.130
28 A 11 3 1.00 23 0.130
29 A 11 3 1.00 21 0.143
30 A 53 7 1.00 23 0.304
31 A 60 9 1.00 23 0.391
32 N/A 0 0 1.00 23 0.000
33 N/A 0 0 1.00 21 0.000
34 A 2 2 1.00 23 0.087
35 A 4 2 1.00 23 0.087
36 A 5 2 1.00 23 0.087
37 A 8 7 1.00 18 0.389
38 A 7 6 1.00 18 0.333
39 A 6 5 1.00 16 0.312
40 N/A 0 0 1.00 18 0.000
41 N/A 0 0 1.00 18 0.000
42 A 15 9 1.00 20 0.450
43 A 13 10 1.00 20 0.500
44 A 9 7 1.00 18 0.389
45 N/A 0 0 1.00 20 0.000
46 N/A 0 0 1.00 20 0.000
47 A 28 11 1.00 20 0.550
48 A 22 11 1.00 20 0.550
49 A 16 9 1.00 18 0.500
50 N/A 0 0 1.00 20 0.000
51 N/A 0 0 1.00 20 0.000
52 A 6 6 1.00 20 0.300
53 A 5 5 1.00 20 0.250
54 A 4 4 1.00 18 0.222
55 N/A 0 0 1.00 20 0.000
56 N/A 0 0 1.00 20 0.000
57 A 21 9 1.00 20 0.450
58 A 18 10 1.00 20 0.500
59 A 5 5 1.00 18 0.278
60 N/A 0 0 1.00 20 0.000
61 N/A 0 0 1.00 20 0.000

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