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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 [34] had the largest ratio of [1.19999999999999996]

# 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 7 6 1.00 10 0.600
2 A 4 3 1.00 10 0.300
3 A 4 3 1.00 10 0.300
4 A 4 3 1.00 8 0.375
5 A 3 3 1.00 6 0.500
6 A 7 6 1.00 10 0.600
7 A 5 5 1.00 10 0.500
8 A 6 5 1.00 10 0.500
9 A 7 5 1.00 10 0.500
10 A 5 4 1.00 10 0.400
11 A 4 4 1.00 8 0.500
12 A 3 3 1.00 6 0.500
13 A 6 6 1.00 10 0.600
14 A 5 5 1.00 10 0.500
15 A 3 3 1.00 10 0.300
16 A 6 6 1.00 10 0.600
17 A 7 6 1.00 10 0.600
18 A 9 8 1.00 10 0.800
19 A 8 7 1.00 10 0.700
20 A 7 6 1.00 10 0.600
21 A 6 6 1.00 8 0.750
22 A 5 5 1.00 6 0.833
23 A 14 8 1.00 10 0.800
24 A 5 5 1.00 10 0.500
25 A 7 7 1.00 10 0.700
26 A 8 8 1.00 10 0.800
27 A 20 9 1.00 12 0.750
28 A 17 9 1.00 12 0.750
29 A 11 8 1.00 10 0.800
30 A 8 6 1.00 8 0.750
31 A 17 9 1.00 12 0.750
32 A 12 8 1.00 12 0.667
33 A 25 14 1.00 12 1.167
34 A 16 12 1.00 10 1.200
35 A 10 7 1.00 8 0.875
36 A 20 10 1.00 12 0.833
37 A 14 9 1.00 12 0.750
38 A 7 6 1.00 14 0.429
39 A 7 6 1.00 16 0.375
40 A 7 6 1.00 16 0.375
41 A 6 6 1.00 14 0.429
42 A 7 7 1.00 10 0.700
43 A 6 4 1.00 10 0.400
44 A 6 4 1.00 8 0.500
45 A 5 3 1.00 6 0.500
46 A 6 5 1.00 10 0.500
47 A 3 3 1.00 10 0.300
48 A 5 4 1.00 10 0.400
49 A 6 4 1.00 10 0.400
50 A 8 8 1.00 19 0.421

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