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2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. 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 given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [9] had the largest ratio of [16]

# 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 4 3 1.00 14 0.214
2 A 4 3 1.00 14 0.214
3 A 4 3 1.00 14 0.214
4 A 3 2 1.00 12 0.167
5 A 3 3 1.00 14 0.214
6 A 5 5 1.00 14 0.357
7 A 6 6 1.00 14 0.429
8 A 7 6 1.00 14 0.429
9 A 8 7 1.00 16 0.438
10 A 7 6 1.00 16 0.375
11 A 6 5 1.00 16 0.312
12 A 3 3 1.08 16 0.188
13 A 4 4 1.00 16 0.250
14 A 6 6 1.00 16 0.375
15 A 7 6 1.00 16 0.375
16 A 4 4 1.00 10 0.400
17 A 3 3 1.00 10 0.300
18 A 3 3 1.00 10 0.300
19 A 6 6 1.00 12 0.500
20 A 5 5 1.00 12 0.417
21 A 3 3 1.00 12 0.250
22 A 7 7 1.00 10 0.700
23 A 6 6 1.00 10 0.600
24 A 3 3 1.00 10 0.300
25 A 4 4 1.00 12 0.333
26 A 3 3 1.00 12 0.250
27 A 3 3 1.00 12 0.250

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