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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 [24] had the largest ratio of [.466700000000000004]

# 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 8 6 1.00 15 0.400
2 A 4 4 1.00 13 0.308
3 A 3 3 1.00 11 0.273
4 N/A 0 0 1.00 15 0.000
5 A 5 4 1.00 32 0.125
6 A 8 6 1.00 16 0.375
7 A 4 4 1.00 14 0.286
8 A 3 3 1.00 12 0.250
9 N/A 0 0 1.00 16 0.000
10 A 5 4 1.00 34 0.118
11 A 6 6 1.00 13 0.462
12 A 3 3 1.00 11 0.273
13 A 2 2 1.00 9 0.222
14 N/A 0 0 1.00 13 0.000
15 N/A 0 0 1.00 13 0.000
16 A 10 7 1.00 17 0.412
17 A 6 5 1.00 15 0.333
18 A 5 4 1.00 13 0.308
19 N/A 0 0 1.00 17 0.000
20 A 10 7 1.00 18 0.389
21 A 6 5 1.00 16 0.312
22 A 5 4 1.00 14 0.286
23 N/A 0 0 1.00 18 0.000
24 A 8 7 1.00 15 0.467
25 A 5 4 1.00 13 0.308
26 A 4 3 1.00 11 0.273
27 N/A 0 0 1.00 15 0.000
28 N/A 0 0 1.00 15 0.000
29 A 8 6 1.00 19 0.316
30 A 4 4 1.00 17 0.235
31 N/A 0 0 1.00 19 0.000
32 A 10 7 1.00 21 0.333
33 A 6 5 1.00 19 0.263
34 N/A 0 0 1.00 21 0.000

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