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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 [46] had the largest ratio of [1.08332999999999990]

# 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 5 0.400
2 A 2 2 1.00 15 0.133
3 F 0 0 N/A 0.000 N/A
4 B 3 3 3.42 14 0.214
5 C 8 7 6.80 19 0.368
6 A 9 8 0.96 13 0.615
7 A 6 5 1.00 13 0.385
8 A 12 11 1.09 14 0.786
9 A 8 7 0.95 12 0.583
10 A 6 5 1.52 19 0.263
11 A 7 7 1.09 29 0.241
12 C 4 4 1.94 14 0.286
13 C 4 4 1.86 27 0.148
14 A 2 2 1.13 18 0.111
15 A 4 3 1.00 24 0.125
16 A 4 3 1.00 12 0.250
17 A 4 3 1.00 22 0.136
18 A 5 4 1.00 15 0.267
19 A 5 4 1.00 13 0.308
20 A 2 2 1.00 23 0.087
21 A 5 5 1.13 17 0.294
22 A 9 8 1.17 15 0.533
23 A 4 4 1.00 25 0.160
24 A 6 5 0.89 27 0.185
25 A 2 2 1.00 23 0.087
26 A 3 3 1.00 27 0.111
27 A 3 3 1.00 17 0.176
28 A 2 2 1.00 13 0.154
29 A 7 6 1.11 17 0.353
30 A 6 5 1.00 15 0.333
31 A 5 4 1.00 15 0.267
32 A 2 2 1.00 17 0.118
33 A 6 5 1.21 13 0.385
34 A 3 3 1.00 15 0.200
35 A 2 2 1.00 13 0.154
36 A 6 5 1.21 13 0.385
37 A 4 3 1.00 11 0.273
38 A 3 2 1.00 24 0.083
39 A 3 2 1.00 24 0.083
40 A 7 7 1.00 10 0.700
41 A 10 9 1.07 12 0.750
42 B 7 6 2.75 13 0.462
43 A 6 5 1.00 13 0.385
44 A 6 5 1.28 15 0.333
45 F 0 0 N/A 0.000 N/A
46 A 14 13 1.31 12 1.083
47 A 12 11 1.08 12 0.917
48 A 8 7 1.32 18 0.389
49 A 5 4 1.00 14 0.286
50 A 7 6 1.00 14 0.429

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