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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 [1] had the largest ratio of [.379309999999999981]

# 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 12 11 1.08 29 0.379
2 A 12 11 1.18 29 0.379
3 A 10 9 1.16 27 0.333
4 A 8 8 1.24 27 0.296
5 A 7 7 1.19 29 0.241
6 A 11 10 1.26 29 0.345
7 A 8 8 1.05 30 0.267
8 A 6 5 1.00 30 0.167
9 A 6 6 1.00 28 0.214
10 A 8 7 0.81 28 0.250
11 A 5 5 1.00 30 0.167
12 A 6 5 1.00 30 0.167
13 A 8 8 1.05 30 0.267
14 A 6 5 1.00 30 0.167
15 A 6 6 1.00 28 0.214
16 A 8 7 0.81 28 0.250
17 A 5 5 1.00 30 0.167
18 A 6 5 1.00 30 0.167
19 A 12 11 1.08 31 0.355
20 A 12 11 1.21 31 0.355
21 A 10 9 1.16 29 0.310
22 A 8 8 1.24 29 0.276
23 A 7 7 1.19 31 0.226
24 A 11 10 1.26 31 0.323

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