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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 [9] had the largest ratio of [.312500000000000000]

# 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 32 0.062
2 A 2 2 1.00 32 0.062
3 A 2 2 1.00 30 0.067
4 A 2 2 1.00 25 0.080
5 A 2 2 1.00 32 0.062
6 A 6 5 1.14 32 0.156
7 A 10 9 1.20 32 0.281
8 A 8 7 1.15 32 0.219
9 A 11 10 1.00 32 0.312
10 A 2 2 1.00 32 0.062
11 A 2 2 1.00 32 0.062
12 A 2 2 1.00 30 0.067
13 A 2 2 1.00 25 0.080
14 A 2 2 1.00 32 0.062
15 A 6 5 1.08 32 0.156
16 A 9 8 1.09 32 0.250
17 A 10 9 1.12 32 0.281
18 A 2 2 1.00 32 0.062
19 A 2 2 1.00 32 0.062
20 A 2 2 1.00 30 0.067
21 A 2 2 1.00 25 0.080
22 A 2 2 1.00 32 0.062
23 A 6 5 1.04 32 0.156
24 A 9 8 1.08 32 0.250
25 A 2 2 1.00 30 0.067
26 A 2 2 1.00 30 0.067
27 A 2 2 1.00 28 0.071
28 A 2 2 1.00 23 0.087
29 A 2 2 1.00 30 0.067
30 A 3 3 1.15 30 0.100
31 A 7 7 1.09 30 0.233
32 A 3 3 0.97 20 0.150
33 A 5 5 0.96 25 0.200
34 A 6 6 0.97 30 0.200

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