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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 [.424200000000000021]

# 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 21 14 1.00 33 0.424
2 A 19 12 1.00 33 0.364
3 A 16 12 1.00 33 0.364
4 A 10 9 1.00 33 0.273
5 A 10 9 1.00 31 0.290
6 A 9 7 1.00 24 0.292
7 A 18 13 1.00 31 0.419
8 A 17 12 1.00 33 0.364
9 A 21 14 1.00 33 0.424
10 A 15 10 1.00 33 0.303
11 A 14 9 1.00 33 0.273
12 A 11 8 1.00 33 0.242
13 A 9 7 1.00 33 0.212
14 A 6 4 1.00 31 0.129
15 A 6 3 1.00 24 0.125
16 A 10 7 1.00 31 0.226
17 A 11 8 1.00 33 0.242
18 A 14 9 1.00 33 0.273
19 A 20 12 1.00 33 0.364
20 A 14 11 1.00 33 0.333
21 A 10 7 1.00 33 0.212
22 A 7 5 1.00 33 0.152
23 A 7 5 1.00 31 0.161
24 A 13 10 1.00 31 0.323
25 A 13 10 1.00 33 0.303
26 A 18 12 1.00 33 0.364
27 A 9 8 1.00 35 0.229
28 A 8 7 1.00 35 0.200
29 A 8 7 1.00 33 0.212
30 A 10 7 1.00 33 0.212
31 A 22 9 1.00 35 0.257
32 A 14 9 1.00 35 0.257
33 A 8 6 1.00 26 0.231
34 A 9 8 1.00 35 0.229
35 A 10 8 1.00 35 0.229
36 A 8 7 1.00 35 0.200
37 A 7 6 1.00 35 0.171
38 A 4 4 1.00 33 0.121
39 A 8 5 1.00 33 0.152
40 A 11 6 1.00 35 0.171
41 A 5 5 1.00 35 0.143
42 A 4 4 1.00 35 0.114
43 A 4 3 1.00 26 0.115
44 A 7 7 1.00 35 0.200
45 A 8 7 1.00 35 0.200
46 A 6 6 1.00 35 0.171
47 A 6 6 1.00 35 0.171
48 A 6 6 1.00 33 0.182
49 A 12 7 1.00 33 0.212
50 A 16 8 1.00 35 0.229
51 A 9 8 1.00 35 0.229

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