[prev] [prev-tail] [tail] [up]

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 [23] had the largest ratio of [1.69999999999999996]

# 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 3 3 1.02 8 0.375
2 A 5 4 1.04 8 0.500
3 A 3 3 1.02 8 0.375
4 A 5 4 1.05 8 0.500
5 A 3 3 1.03 6 0.500
6 A 2 2 1.00 4 0.500
7 A 1 1 1.00 8 0.125
8 A 6 5 1.10 8 0.625
9 A 3 3 0.94 8 0.375
10 A 5 4 1.00 8 0.500
11 A 4 4 1.00 8 0.500
12 A 16 15 1.69 10 1.500
13 A 14 13 1.35 10 1.300
14 A 11 10 1.42 10 1.000
15 A 10 9 1.17 10 0.900
16 A 5 5 1.13 8 0.625
17 A 6 5 1.22 6 0.833
18 A 4 4 1.32 10 0.400
19 A 4 4 1.09 10 0.400
20 A 9 8 0.98 10 0.800
21 A 8 8 0.94 10 0.800
22 A 14 13 1.27 10 1.300
23 B 18 17 2.26 10 1.700
24 A 17 16 1.55 10 1.600
25 A 14 13 1.72 10 1.300
26 A 11 11 1.19 10 1.100
27 A 9 8 1.15 8 1.000
28 A 5 5 1.19 6 0.833
29 A 5 5 1.21 10 0.500
30 A 5 5 1.18 10 0.500
31 A 7 7 0.95 10 0.700
32 A 15 14 1.03 10 1.400
33 A 11 11 1.35 10 1.100
34 N/A 1 0 1.00 10 0.000
35 N/A 1 0 1.00 10 0.000
36 A 2 2 1.00 8 0.250
37 A 3 2 1.14 10 0.200
38 A 3 3 1.00 4 0.750
39 A 7 6 1.02 10 0.600
40 A 6 5 1.02 8 0.625
41 A 5 4 1.32 6 0.667
42 A 3 2 1.42 10 0.200
43 A 5 4 1.28 10 0.400
44 A 6 5 1.02 10 0.500
45 A 3 3 0.92 12 0.250
46 A 3 3 0.90 12 0.250
47 A 2 2 1.00 12 0.167
48 A 4 4 1.00 12 0.333
49 A 3 2 0.95 10 0.200

[prev] [prev-tail] [front] [up]