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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 [1] had the largest ratio of [.540541000000000008e-1]

# 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 1.25 37 0.054
2 A 2 2 1.21 37 0.054
3 A 2 2 1.04 37 0.054
4 A 2 2 1.22 37 0.054
5 A 2 2 1.36 42 0.048
6 A 2 2 1.14 42 0.048
7 A 2 2 1.40 42 0.048
8 A 2 2 1.23 44 0.045
9 A 2 2 1.55 44 0.045
10 A 2 2 1.41 44 0.045
11 A 2 2 1.14 44 0.045
12 A 2 2 1.54 44 0.045
13 A 2 2 1.28 44 0.045
14 A 2 2 0.90 39 0.051
15 A 2 2 1.00 40 0.050
16 A 2 2 1.00 40 0.050
17 A 2 2 1.00 41 0.049
18 A 2 2 0.92 44 0.045
19 A 2 2 1.27 45 0.044
20 A 2 2 1.27 45 0.044
21 A 2 2 1.27 46 0.043
22 A 2 2 1.52 39 0.051
23 A 2 2 1.92 40 0.050
24 A 2 2 1.90 40 0.050
25 B 2 2 2.29 41 0.049
26 A 2 2 1.94 44 0.045
27 B 2 2 2.24 45 0.044
28 B 2 2 2.03 45 0.044
29 B 2 2 2.09 46 0.043
30 A 2 2 1.43 44 0.045
31 F 0 0 N/A 0.000 N/A
32 F 0 0 N/A 0.000 N/A
33 F 0 0 N/A 0.000 N/A
34 F 0 0 N/A 0.000 N/A
35 F 0 0 N/A 0.000 N/A
36 F 0 0 N/A 0.000 N/A
37 F 0 0 N/A 0.000 N/A
38 F 0 0 N/A 0.000 N/A
39 F 0 0 N/A 0.000 N/A
40 F 0 0 N/A 0.000 N/A
41 F 0 0 N/A 0.000 N/A
42 F 0 0 N/A 0.000 N/A
43 F 0 0 N/A 0.000 N/A
44 F 0 0 N/A 0.000 N/A
45 F 0 0 N/A 0.000 N/A
46 F 0 0 N/A 0.000 N/A
47 F 0 0 N/A 0.000 N/A
48 F 0 0 N/A 0.000 N/A

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