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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 [1.43750000000000000]

# 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 1.20 14 0.571
2 C 8 7 1.25 14 0.500
3 C 7 6 1.25 12 0.500
4 N/A 3 0 1.00 14 0.000
5 N/A 3 0 1.00 14 0.000
6 C 13 12 1.19 16 0.750
7 C 12 11 1.23 16 0.688
8 A 8 8 1.08 14 0.571
9 N/A 3 0 1.00 16 0.000
10 N/A 3 0 1.00 16 0.000
11 C 24 23 1.19 16 1.438
12 C 20 19 1.15 16 1.188
13 C 15 14 1.17 14 1.000
14 N/A 3 0 1.00 16 0.000
15 N/A 3 0 1.00 16 0.000
16 A 18 17 0.93 18 0.944
17 A 16 15 0.93 18 0.833
18 A 8 7 0.93 18 0.389
19 A 8 7 0.93 18 0.389
20 A 16 15 0.93 18 0.833
21 N/A 11 0 1.00 20 0.000
22 N/A 2 0 1.00 20 0.000
23 N/A 2 0 1.00 20 0.000
24 N/A 11 0 1.00 20 0.000
25 N/A 2 0 1.00 20 0.000
26 N/A 2 0 1.00 20 0.000
27 N/A 2 0 1.00 20 0.000
28 N/A 2 0 1.00 20 0.000
29 N/A 3 0 1.00 12 0.000
30 N/A 3 0 1.00 12 0.000
31 N/A 3 0 1.00 10 0.000
32 A 9 9 1.06 20 0.450
33 A 7 7 1.04 20 0.350
34 A 5 5 1.05 18 0.278
35 C 11 11 1.00 20 0.550
36 C 11 11 1.06 20 0.550
37 C 13 13 1.04 20 0.650
38 A 3 3 1.00 20 0.150
39 A 3 3 1.00 20 0.150
40 A 3 3 1.00 18 0.167
41 A 3 3 1.00 20 0.150
42 A 3 3 1.00 20 0.150
43 A 3 3 1.00 20 0.150
44 A 3 3 1.00 20 0.150
45 A 3 3 0.99 18 0.167
46 A 3 3 1.00 20 0.150
47 A 3 3 1.00 20 0.150
48 N/A 2 0 1.00 20 0.000
49 N/A 2 0 1.00 18 0.000
50 A 3 3 1.00 20 0.150
51 A 3 3 1.00 20 0.150
52 A 3 3 1.00 20 0.150
53 A 3 3 1.00 18 0.167
54 A 3 3 1.00 18 0.167
55 A 3 3 1.00 16 0.188
56 N/A 2 0 1.00 18 0.000
57 N/A 2 0 1.00 18 0.000
58 A 3 3 1.00 20 0.150
59 A 3 3 1.00 20 0.150
60 A 3 3 1.00 18 0.167
61 N/A 2 0 1.00 20 0.000
62 N/A 2 0 1.00 20 0.000
63 A 3 3 1.00 20 0.150
64 A 3 3 0.98 20 0.150
65 A 3 3 0.99 18 0.167
66 N/A 2 0 1.00 20 0.000
67 N/A 2 0 1.00 20 0.000
68 A 8 7 0.95 20 0.350
69 A 7 6 0.99 20 0.300
70 A 6 5 1.04 18 0.278
71 N/A 2 0 1.00 20 0.000
72 N/A 2 0 1.00 20 0.000
73 A 3 3 1.00 20 0.150
74 A 3 3 1.00 20 0.150
75 A 9 8 1.09 18 0.444
76 N/A 2 0 1.00 20 0.000
77 N/A 2 0 1.00 20 0.000

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