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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 [1.15399999999999991]

# 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 1 1 1.00 12 0.083
2 A 4 3 1.00 19 0.158
3 A 2 2 1.00 6 0.333
4 A 5 5 1.00 10 0.500
5 A 3 2 1.00 7 0.286
6 A 22 9 1.00 8 1.125
7 F 0 0 N/A 0.000 N/A
8 F 0 0 N/A 0.000 N/A
9 A 4 3 1.00 19 0.158
10 A 6 3 1.00 25 0.120
11 A 5 2 1.00 19 0.105
12 A 6 3 1.00 21 0.143
13 A 20 8 1.00 28 0.286
14 A 22 9 1.00 21 0.429
15 A 2 1 1.00 27 0.037
16 A 3 2 1.00 36 0.056
17 A 7 5 1.00 17 0.294
18 A 7 5 1.00 17 0.294
19 A 6 6 1.00 25 0.240
20 A 7 7 1.00 14 0.500
21 B 45 7 7.28 9 0.778
22 A 3 3 1.00 8 0.375
23 A 2 2 1.00 10 0.200
24 A 11 7 1.34 16 0.438
25 A 5 5 1.00 11 0.454
26 A 31 12 1.89 16 0.750
27 A 12 10 1.00 16 0.625
28 A 13 12 1.00 12 1.000
29 A 28 15 1.00 13 1.154
30 A 44 10 1.00 18 0.556
31 A 35 16 1.00 18 0.889
32 A 21 7 1.00 14 0.500
33 A 7 4 1.00 5 0.800
34 A 5 5 1.00 8 0.625
35 A 10 7 1.00 14 0.500

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