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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 [6] had the largest ratio of [.458332999999999990]

# 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 F 0 0 N/A 0.000 N/A
2 F 0 0 N/A 0.000 N/A
3 F 0 0 N/A 0.000 N/A
4 A 14 13 1.04 33 0.394
5 A 14 13 1.11 31 0.419
6 A 12 11 1.11 24 0.458
7 F 0 0 N/A 0.000 N/A
8 F 0 0 N/A 0.000 N/A
9 F 0 0 N/A 0.000 N/A
10 A 5 4 0.97 33 0.121
11 A 5 4 0.97 33 0.121
12 A 5 4 0.98 33 0.121
13 A 10 9 0.99 33 0.273
14 A 7 6 0.99 31 0.194
15 A 6 5 0.99 24 0.208
16 A 5 4 0.99 31 0.129
17 A 5 4 0.98 33 0.121
18 A 5 4 0.97 33 0.121
19 A 5 4 0.97 33 0.121
20 A 5 4 0.98 33 0.121
21 A 5 4 0.99 33 0.121
22 A 8 7 1.13 33 0.212
23 A 10 9 1.13 31 0.290
24 A 5 4 0.99 31 0.129
25 A 5 4 0.98 33 0.121
26 A 5 4 0.98 33 0.121
27 A 13 12 1.03 35 0.343
28 A 11 10 1.01 35 0.286
29 A 11 10 0.97 33 0.303
30 A 12 11 0.95 33 0.333
31 A 6 5 0.94 35 0.143
32 A 13 12 0.61 35 0.343
33 A 11 10 0.84 26 0.385
34 A 13 12 0.84 35 0.343
35 A 17 16 0.96 35 0.457
36 A 11 10 0.99 35 0.286
37 A 9 8 0.96 35 0.229
38 A 6 5 1.00 33 0.152
39 A 6 5 0.97 33 0.152
40 A 6 5 0.94 35 0.143
41 A 8 7 1.02 35 0.200
42 A 7 6 1.03 35 0.171
43 A 7 6 1.02 26 0.231
44 A 12 11 1.03 35 0.314
45 A 12 11 1.00 35 0.314
46 A 8 7 1.00 35 0.200
47 A 8 7 0.99 35 0.200
48 A 8 7 1.00 33 0.212
49 A 6 5 0.97 33 0.152
50 A 6 5 0.95 35 0.143
51 A 14 13 0.84 35 0.371

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