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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 [36] had the largest ratio of [.500000000000000000]

# 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 4 2 1.00 14 0.143
2 A 3 2 1.00 14 0.143
3 A 2 2 1.00 14 0.143
4 A 1 1 1.00 14 0.071
5 A 2 2 1.00 14 0.143
6 A 3 3 1.00 14 0.214
7 A 4 3 1.00 14 0.214
8 A 2 2 1.00 14 0.143
9 A 2 2 1.00 14 0.143
10 A 2 2 1.00 14 0.143
11 A 2 2 1.00 14 0.143
12 A 2 2 1.00 14 0.143
13 A 2 2 1.00 14 0.143
14 A 2 2 1.00 12 0.167
15 A 2 2 1.00 13 0.154
16 A 1 1 1.00 12 0.083
17 A 1 1 1.00 12 0.083
18 A 1 1 1.00 12 0.083
19 A 3 3 1.00 12 0.250
20 A 4 4 1.00 12 0.333
21 A 5 4 1.00 12 0.333
22 A 1 1 1.00 12 0.083
23 A 3 3 1.00 12 0.250
24 A 4 4 1.00 12 0.333
25 A 5 4 1.00 12 0.333
26 A 1 1 1.00 12 0.083
27 A 3 3 1.00 12 0.250
28 A 4 4 1.00 12 0.333
29 A 5 4 1.00 12 0.333
30 A 1 1 1.00 12 0.083
31 A 3 3 1.00 12 0.250
32 A 4 4 1.00 12 0.333
33 A 5 4 1.00 12 0.333
34 A 4 3 1.00 12 0.250
35 A 6 5 1.00 12 0.417
36 A 7 6 1.00 12 0.500
37 A 8 6 1.00 12 0.500
38 A 4 3 1.00 12 0.250
39 A 6 5 1.00 12 0.417
40 A 7 6 1.00 12 0.500
41 A 8 6 1.00 12 0.500
42 A 4 3 1.00 12 0.250
43 A 6 5 1.00 12 0.417
44 A 7 6 1.00 12 0.500
45 A 8 6 1.00 12 0.500
46 A 4 3 1.00 12 0.250
47 A 6 5 1.00 12 0.417
48 A 7 6 1.00 12 0.500
49 A 8 6 1.00 12 0.500
50 A 8 7 1.00 14 0.500
51 A 7 7 1.00 14 0.500
52 A 6 6 1.00 14 0.429
53 A 2 2 1.00 14 0.143
54 A 2 2 1.00 14 0.143
55 A 4 4 1.00 14 0.286
56 A 7 7 1.00 14 0.500
57 A 8 7 1.00 14 0.500
58 A 3 3 1.00 14 0.214
59 A 3 3 1.00 14 0.214
60 A 3 3 1.00 14 0.214
61 A 3 3 1.00 14 0.214
62 A 3 3 1.00 14 0.214
63 A 3 3 1.00 14 0.214
64 A 3 3 1.00 12 0.250
65 A 2 2 1.00 12 0.167
66 A 2 2 1.00 12 0.167
67 A 2 2 1.00 12 0.167
68 A 2 2 1.00 12 0.167
69 A 2 2 1.00 12 0.167
70 A 2 2 1.00 12 0.167
71 A 3 3 1.00 12 0.250
72 A 3 3 1.00 12 0.250

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