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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 [8] had the largest ratio of [.419354999999999978]

# 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 0.97 33 0.121
2 A 5 4 0.98 33 0.121
3 A 7 6 1.00 31 0.194
4 A 5 4 0.99 31 0.129
5 A 5 4 0.97 33 0.121
6 F 0 0 N/A 0.000 N/A
7 F 0 0 N/A 0.000 N/A
8 A 14 13 1.11 31 0.419
9 F 0 0 N/A 0.000 N/A
10 F 0 0 N/A 0.000 N/A
11 A 5 4 0.97 33 0.121
12 A 5 4 0.98 33 0.121
13 A 5 4 0.99 33 0.121
14 A 10 9 1.13 31 0.290
15 A 5 4 0.99 31 0.129
16 A 5 4 0.98 33 0.121
17 A 11 10 0.99 35 0.286
18 A 9 8 0.96 35 0.229
19 A 6 5 1.00 33 0.152
20 A 6 5 0.97 33 0.152
21 A 6 5 0.94 35 0.143
22 A 13 12 1.03 35 0.343
23 A 11 10 1.01 35 0.286
24 A 11 10 0.97 33 0.303
25 A 12 11 0.95 33 0.333
26 A 6 5 0.94 35 0.143
27 A 12 11 0.99 35 0.314
28 A 8 7 0.99 35 0.200
29 A 8 7 0.99 35 0.200
30 A 8 7 0.99 33 0.212
31 A 6 5 0.97 33 0.152
32 A 6 5 0.95 35 0.143

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