[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 [55] had the largest ratio of [1.39999999999999991]

# 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 6 0.333
2 A 4 3 1.00 8 0.375
3 A 4 4 1.00 8 0.500
4 A 4 3 0.89 8 0.375
5 A 6 6 1.09 8 0.750
6 A 4 3 0.86 8 0.375
7 A 8 8 1.13 8 1.000
8 A 4 3 0.80 8 0.375
9 A 8 8 1.01 10 0.800
10 A 6 6 1.00 10 0.600
11 A 6 6 1.00 10 0.600
12 A 4 4 1.00 10 0.400
13 A 4 4 1.00 10 0.400
14 A 6 6 1.00 10 0.600
15 A 6 6 1.00 10 0.600
16 A 8 8 1.06 10 0.800
17 A 8 8 1.02 12 0.667
18 A 6 6 1.00 12 0.500
19 A 6 6 1.00 12 0.500
20 A 4 4 1.00 12 0.333
21 A 4 4 1.00 12 0.333
22 A 6 6 1.00 12 0.500
23 A 6 6 1.00 12 0.500
24 A 8 8 1.08 12 0.667
25 A 4 4 1.00 10 0.400
26 A 4 4 1.00 10 0.400
27 A 4 4 1.00 10 0.400
28 A 4 4 1.00 10 0.400
29 A 4 4 1.00 10 0.400
30 A 4 4 1.00 10 0.400
31 A 4 4 1.00 12 0.333
32 A 4 4 1.00 12 0.333
33 A 4 4 1.00 12 0.333
34 A 4 4 1.00 12 0.333
35 A 4 4 1.00 12 0.333
36 A 4 4 1.00 12 0.333
37 A 4 4 1.00 8 0.500
38 A 4 4 1.00 10 0.400
39 A 7 6 1.32 8 0.750
40 A 6 5 1.25 8 0.625
41 A 5 4 1.09 8 0.500
42 A 4 3 1.00 8 0.375
43 A 4 3 1.17 8 0.375
44 A 5 4 1.14 8 0.500
45 A 6 5 1.26 8 0.625
46 A 7 6 1.32 8 0.750
47 A 8 7 1.19 10 0.700
48 A 7 6 1.17 10 0.600
49 A 6 5 1.13 10 0.500
50 A 5 4 1.08 10 0.400
51 A 4 3 1.14 10 0.300
52 A 5 4 1.28 10 0.400
53 A 6 5 1.36 10 0.500
54 A 7 6 1.41 10 0.600
55 A 14 14 0.98 10 1.400
56 A 10 10 1.21 10 1.000
57 A 8 8 1.27 10 0.800
58 A 8 8 1.30 10 0.800
59 A 10 10 1.11 10 1.000
60 A 14 14 1.02 10 1.400
61 A 6 5 0.40 10 0.500
62 A 6 5 0.46 10 0.500
63 A 6 5 0.58 10 0.500
64 A 6 5 1.00 10 0.500
65 A 5 5 0.81 10 0.500
66 A 9 9 0.72 10 0.900
67 A 13 13 0.70 10 1.300
68 A 6 6 1.00 12 0.500
69 A 6 6 1.00 14 0.429
70 A 5 5 1.00 21 0.238

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