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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 [3] had the largest ratio of [.625000000000000000]

# 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 5 4 0.90 10 0.400
2 A 5 4 0.91 10 0.400
3 A 6 5 1.02 8 0.625
4 A 3 2 1.05 6 0.333
5 A 5 4 1.00 10 0.400
6 A 5 4 1.00 10 0.400
7 A 5 4 0.92 12 0.333
8 A 5 4 0.94 12 0.333
9 A 5 4 0.96 10 0.400
10 A 4 3 0.97 8 0.375
11 N/A 4 0 1.00 12 0.000
12 N/A 4 0 1.00 12 0.000
13 A 7 6 0.90 12 0.500
14 A 6 5 0.90 12 0.417
15 A 7 6 0.93 10 0.600
16 A 3 2 0.96 8 0.250
17 N/A 6 0 1.00 12 0.000
18 N/A 5 0 1.00 12 0.000
19 A 7 6 0.92 14 0.429
20 A 6 5 0.92 14 0.357
21 A 7 6 0.94 12 0.500
22 A 4 3 0.97 10 0.300
23 N/A 6 0 1.00 14 0.000
24 N/A 5 0 1.00 14 0.000
25 A 8 7 1.03 21 0.333
26 A 7 6 1.02 21 0.286
27 A 6 5 0.98 21 0.238
28 A 5 4 1.00 21 0.190
29 A 5 4 1.00 21 0.190
30 A 6 5 0.99 21 0.238

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