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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 [29] had the largest ratio of [.272699999999999998]

# 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 13 4 1.00 32 0.125
2 A 11 4 1.00 32 0.125
3 A 10 5 1.00 30 0.167
4 A 4 4 1.00 24 0.167
5 A 6 5 1.00 30 0.167
6 A 8 7 1.00 32 0.219
7 A 7 5 1.00 32 0.156
8 A 6 6 1.00 32 0.188
9 A 11 5 1.00 32 0.156
10 A 11 4 1.00 32 0.125
11 A 13 4 1.00 32 0.125
12 A 5 5 1.29 34 0.147
13 A 5 5 1.00 34 0.147
14 A 8 7 1.00 34 0.206
15 A 6 6 1.00 40 0.150
16 A 3 3 1.00 40 0.075
17 A 6 6 1.00 40 0.150
18 A 6 6 1.00 40 0.150
19 A 2 2 1.00 36 0.056
20 A 6 6 1.00 36 0.167
21 A 6 6 1.00 36 0.167
22 A 3 3 1.00 36 0.083
23 A 5 4 1.00 33 0.121
24 A 8 6 1.00 33 0.182
25 A 5 4 1.00 39 0.103
26 A 2 2 1.00 39 0.051
27 A 5 4 1.00 39 0.103
28 A 5 4 1.00 39 0.103
29 A 9 9 1.00 33 0.273
30 A 9 9 1.00 33 0.273
31 A 3 3 1.00 39 0.077
32 A 1 1 1.00 39 0.026
33 A 3 3 1.00 39 0.077
34 A 3 3 1.00 39 0.077
35 A 5 5 1.00 35 0.143
36 A 2 2 1.00 35 0.057
37 A 5 5 1.00 35 0.143
38 A 5 5 1.00 35 0.143
39 A 8 5 1.00 33 0.152
40 A 5 3 1.00 33 0.091
41 A 5 3 1.00 33 0.091
42 A 3 3 1.00 39 0.077
43 A 3 3 1.00 39 0.077
44 A 1 1 1.00 39 0.026
45 A 3 3 1.00 39 0.077
46 A 3 3 1.00 39 0.077
47 A 1 1 1.00 39 0.026
48 A 3 3 1.00 35 0.086
49 A 1 1 1.00 35 0.029
50 A 3 3 1.00 35 0.086
51 A 4 4 1.00 38 0.105

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