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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 [42] had the largest ratio of [.225806000000000007]

# 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 2 2 1.00 29 0.069
2 A 2 2 1.00 29 0.069
3 A 2 2 1.00 27 0.074
4 A 2 2 1.00 20 0.100
5 A 2 2 1.00 29 0.069
6 A 4 4 1.02 29 0.138
7 A 4 4 1.05 29 0.138
8 A 2 2 1.00 31 0.065
9 A 2 2 1.00 31 0.065
10 A 2 2 1.00 29 0.069
11 A 2 2 1.00 22 0.091
12 A 2 2 1.00 31 0.065
13 A 4 4 0.99 31 0.129
14 A 6 6 1.04 31 0.194
15 A 2 2 1.00 31 0.065
16 A 2 2 1.00 31 0.065
17 A 2 2 1.00 29 0.069
18 A 2 2 1.00 22 0.091
19 A 2 2 1.00 31 0.065
20 A 4 4 0.98 31 0.129
21 A 6 6 1.02 31 0.194
22 A 2 2 1.00 31 0.065
23 A 2 2 1.00 31 0.065
24 A 2 2 1.00 31 0.065
25 A 2 2 1.00 29 0.069
26 A 2 2 1.00 22 0.091
27 A 2 2 1.00 31 0.065
28 A 3 3 1.08 31 0.097
29 F 0 0 N/A 0.000 N/A
30 A 4 4 0.98 31 0.129
31 A 4 4 1.00 31 0.129
32 A 4 4 1.02 29 0.138
33 A 2 2 1.00 22 0.091
34 A 3 3 1.08 31 0.097
35 A 5 5 1.08 31 0.161
36 F 0 0 N/A 0.000 N/A
37 A 6 6 1.02 31 0.194
38 A 6 6 1.04 31 0.194
39 A 4 4 1.05 29 0.138
40 A 2 2 1.00 22 0.091
41 A 4 4 1.11 31 0.129
42 A 7 7 1.11 31 0.226
43 F 0 0 N/A 0.000 N/A
44 A 7 7 0.96 31 0.226
45 A 6 6 0.92 31 0.194
46 A 5 5 0.95 29 0.172
47 A 2 2 1.00 31 0.065
48 A 3 3 0.97 31 0.097
49 A 4 4 1.02 31 0.129
50 A 6 5 1.06 29 0.172
51 A 6 5 1.06 29 0.172

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