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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 [7] had the largest ratio of [.571428999999999965]

# 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 16 15 0.92 28 0.536
2 A 11 10 0.94 28 0.357
3 A 8 7 1.00 26 0.269
4 A 15 14 0.98 28 0.500
5 F 0 0 N/A 0.000 N/A
6 F 0 0 N/A 0.000 N/A
7 A 17 16 0.86 28 0.571
8 A 12 11 0.90 28 0.393
9 A 9 8 0.99 26 0.308
10 A 17 16 0.94 28 0.571
11 F 0 0 N/A 0.000 N/A
12 F 0 0 N/A 0.000 N/A
13 A 15 14 1.01 28 0.500
14 A 10 9 1.00 28 0.321
15 A 7 6 0.98 26 0.231
16 A 9 8 0.99 28 0.286
17 F 0 0 N/A 0.000 N/A
18 A 14 13 0.97 28 0.464
19 A 10 9 1.22 28 0.321
20 A 5 4 0.95 26 0.154
21 A 11 10 1.21 28 0.357
22 F 0 0 N/A 0.000 N/A
23 A 13 12 0.96 26 0.462
24 A 8 7 1.01 26 0.269
25 A 6 5 1.03 24 0.208
26 F 0 0 N/A 0.000 N/A
27 F 0 0 N/A 0.000 N/A

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