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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 [10] had the largest ratio of [.292683000000000026]

# 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 11 11 0.81 40 0.275
2 A 9 9 0.89 40 0.225
3 A 7 7 1.02 40 0.175
4 A 8 7 1.04 40 0.175
5 A 11 10 1.06 40 0.250
6 A 11 10 1.08 40 0.250
7 A 11 10 1.08 42 0.238
8 A 12 11 1.20 38 0.289
9 A 11 10 1.08 37 0.270
10 A 13 12 1.11 41 0.293
11 A 12 11 1.09 39 0.282
12 A 12 11 1.08 39 0.282
13 A 12 11 1.09 39 0.282
14 A 12 11 1.06 39 0.282
15 A 11 10 1.08 50 0.200
16 A 12 11 1.19 46 0.239
17 A 11 11 0.77 48 0.229
18 A 9 9 0.87 48 0.188
19 A 7 7 1.02 48 0.146
20 A 10 9 1.03 48 0.188
21 A 11 10 1.06 48 0.208
22 A 11 10 1.07 48 0.208
23 A 11 10 1.27 50 0.200
24 A 11 10 1.10 45 0.222
25 A 13 12 1.10 49 0.245
26 A 12 11 1.08 47 0.234
27 A 12 11 1.08 47 0.234
28 A 12 11 1.08 47 0.234
29 A 12 11 1.07 47 0.234
30 A 4 4 1.46 31 0.129
31 A 11 11 1.03 41 0.268
32 N/A 2 0 1.00 45 0.000

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