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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 [19] 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 2 2 1.00 16 0.125
2 A 2 2 1.00 16 0.125
3 A 2 2 1.00 14 0.143
4 N/A 2 0 1.00 16 0.000
5 N/A 2 0 1.00 16 0.000
6 N/A 2 0 1.00 16 0.000
7 N/A 2 0 1.00 16 0.000
8 N/A 2 0 1.00 16 0.000
9 N/A 2 0 1.00 16 0.000
10 A 5 4 0.99 18 0.222
11 A 5 4 1.00 18 0.222
12 A 12 11 0.98 16 0.688
13 N/A 1 0 1.00 18 0.000
14 N/A 1 0 1.00 18 0.000
15 N/A 1 0 1.00 18 0.000
16 N/A 1 0 1.00 18 0.000
17 N/A 1 0 1.00 18 0.000
18 N/A 1 0 1.00 18 0.000
19 C 17 16 1.27 12 1.333
20 A 5 4 1.00 18 0.222
21 A 5 4 0.97 18 0.222
22 A 8 7 1.02 16 0.438
23 N/A 1 0 1.00 18 0.000
24 N/A 1 0 1.00 18 0.000
25 N/A 1 0 1.00 18 0.000
26 N/A 1 0 1.00 18 0.000
27 N/A 1 0 1.00 18 0.000
28 N/A 1 0 1.00 18 0.000
29 A 5 4 1.00 18 0.222
30 A 5 4 0.98 18 0.222
31 A 15 14 1.18 16 0.875
32 N/A 1 0 1.00 18 0.000
33 N/A 1 0 1.00 18 0.000
34 N/A 1 0 1.00 18 0.000
35 N/A 1 0 1.00 18 0.000
36 N/A 1 0 1.00 18 0.000
37 N/A 1 0 1.00 18 0.000
38 A 2 2 1.00 18 0.111
39 A 2 2 1.00 18 0.111
40 A 2 2 1.00 16 0.125
41 N/A 2 0 1.00 18 0.000
42 N/A 2 0 1.00 18 0.000
43 A 5 4 1.01 20 0.200
44 A 5 4 1.01 20 0.200
45 A 5 4 1.01 18 0.222
46 N/A 1 0 1.00 20 0.000
47 N/A 1 0 1.00 20 0.000
48 A 5 4 1.00 20 0.200
49 A 5 4 1.00 20 0.200
50 A 5 4 1.00 18 0.222
51 N/A 1 0 1.00 20 0.000
52 N/A 1 0 1.00 20 0.000
53 A 5 4 1.00 20 0.200
54 A 5 4 1.00 20 0.200
55 A 5 4 1.00 18 0.222
56 N/A 1 0 1.00 20 0.000
57 N/A 1 0 1.00 20 0.000
58 A 2 2 1.00 20 0.100
59 A 2 2 1.00 20 0.100
60 A 2 2 1.00 20 0.100
61 N/A 2 0 1.00 20 0.000
62 N/A 2 0 1.00 20 0.000
63 A 5 4 1.01 22 0.182
64 A 5 4 1.00 22 0.182
65 A 12 11 1.02 22 0.500
66 N/A 1 0 1.00 22 0.000
67 N/A 1 0 1.00 22 0.000
68 A 5 4 1.00 22 0.182
69 A 5 4 1.00 22 0.182
70 A 8 7 1.00 22 0.318
71 N/A 1 0 1.00 22 0.000
72 N/A 1 0 1.00 22 0.000
73 A 5 4 1.00 22 0.182
74 A 5 4 1.00 22 0.182
75 A 15 14 1.18 22 0.636
76 N/A 1 0 1.00 22 0.000
77 N/A 1 0 1.00 22 0.000
78 N/A 2 0 1.00 20 0.000
79 A 2 2 1.00 20 0.100
80 A 2 2 1.00 22 0.091
81 A 2 2 1.00 22 0.091
82 A 13 12 0.71 22 0.545
83 A 6 5 0.63 24 0.208
84 A 6 5 0.63 24 0.208
85 A 9 8 0.90 22 0.364
86 A 6 5 0.81 24 0.208
87 A 6 5 0.81 24 0.208
88 A 16 15 0.98 22 0.682
89 A 6 5 0.77 24 0.208
90 A 6 5 0.78 24 0.208

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