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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 [.538499999999999979]

# 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 12 7 1.00 15 0.467
2 A 6 5 1.00 13 0.385
3 A 5 4 1.00 11 0.364
4 N/A 0 0 1.00 15 0.000
5 A 7 5 1.00 33 0.152
6 A 12 7 1.00 16 0.438
7 A 6 5 1.00 14 0.357
8 A 5 4 1.00 12 0.333
9 N/A 0 0 1.00 16 0.000
10 A 7 5 1.00 35 0.143
11 A 12 7 1.00 13 0.538
12 A 6 5 1.00 11 0.454
13 A 5 4 1.00 9 0.444
14 N/A 0 0 1.00 13 0.000
15 N/A 0 0 1.00 13 0.000
16 A 14 8 1.00 17 0.471
17 A 8 6 1.00 15 0.400
18 A 7 5 1.00 13 0.385
19 N/A 0 0 1.00 17 0.000
20 A 14 8 1.00 18 0.444
21 A 8 6 1.00 16 0.375
22 A 7 5 1.00 14 0.357
23 N/A 0 0 1.00 18 0.000
24 A 14 8 1.00 15 0.533
25 A 8 6 1.00 13 0.462
26 A 7 5 1.00 11 0.454
27 N/A 0 0 1.00 15 0.000
28 A 12 7 1.00 19 0.368
29 A 6 5 1.00 17 0.294
30 N/A 0 0 1.00 19 0.000
31 A 14 8 1.00 21 0.381
32 A 8 6 1.00 19 0.316
33 N/A 0 0 1.00 21 0.000

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