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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 1.19 38 0.289
9 A 11 10 1.06 37 0.270
10 A 13 12 1.08 41 0.293
11 A 12 11 1.05 39 0.282
12 A 12 11 1.06 39 0.282
13 A 12 11 1.08 39 0.282
14 A 12 11 1.04 39 0.282
15 A 12 11 1.06 39 0.282
16 A 11 10 1.08 50 0.200
17 A 12 11 1.18 46 0.239
18 A 11 11 0.77 48 0.229
19 A 9 9 0.87 48 0.188
20 A 7 7 1.02 48 0.146
21 A 10 9 1.03 48 0.188
22 A 11 10 1.06 48 0.208
23 A 11 10 1.07 48 0.208
24 A 11 10 1.29 50 0.200
25 A 11 10 1.07 45 0.222
26 A 13 12 1.08 49 0.245
27 A 12 11 1.05 47 0.234
28 A 12 11 1.05 47 0.234
29 A 12 11 1.07 47 0.234
30 A 12 11 1.04 47 0.234
31 A 12 11 1.06 47 0.234
32 A 4 4 1.46 31 0.129
33 A 11 11 1.03 41 0.268
34 N/A 2 0 1.00 45 0.000

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