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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 [6] had the largest ratio of [.424200000000000021]

# 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 15 10 1.00 33 0.303
2 A 11 8 1.00 33 0.242
3 A 6 4 1.00 31 0.129
4 A 10 7 1.00 31 0.226
5 A 14 9 1.00 33 0.273
6 A 21 14 1.00 33 0.424
7 A 16 12 1.00 33 0.364
8 A 10 9 1.00 31 0.290
9 A 18 13 1.00 31 0.419
10 A 21 14 1.00 33 0.424
11 A 20 12 1.00 33 0.364
12 A 14 11 1.00 33 0.333
13 A 10 7 1.00 33 0.212
14 A 7 5 1.00 31 0.161
15 A 13 10 1.00 31 0.323
16 A 18 12 1.00 33 0.364
17 A 8 7 1.00 35 0.200
18 A 7 6 1.00 35 0.171
19 A 4 4 1.00 33 0.121
20 A 8 5 1.00 33 0.152
21 A 11 6 1.00 35 0.171
22 A 9 8 1.00 35 0.229
23 A 8 7 1.00 35 0.200
24 A 8 7 1.00 33 0.212
25 A 10 7 1.00 33 0.212
26 A 22 9 1.00 35 0.257
27 A 8 7 1.00 35 0.200
28 A 6 6 1.00 35 0.171
29 A 6 6 1.00 35 0.171
30 A 6 6 1.00 33 0.182
31 A 12 7 1.00 33 0.212
32 A 16 8 1.00 35 0.229

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