[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 [4] had the largest ratio of [.750000000000000000]

# 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 6 5 0.93 12 0.417
2 A 5 4 0.95 12 0.333
3 A 6 5 0.93 10 0.500
4 A 7 6 0.94 8 0.750
5 A 5 4 1.00 12 0.333
6 A 8 7 1.02 12 0.583
7 A 7 6 0.94 12 0.500
8 A 7 6 1.09 12 0.500
9 A 6 5 0.82 21 0.238
10 A 7 6 0.78 21 0.286
11 A 6 5 0.96 19 0.263
12 A 4 3 0.80 21 0.143
13 A 8 7 0.84 21 0.333
14 A 6 5 0.79 21 0.238
15 A 12 11 0.89 23 0.478
16 A 12 11 0.80 23 0.478
17 A 7 6 0.96 21 0.286
18 A 7 6 0.94 23 0.261
19 A 7 6 0.91 23 0.261
20 A 11 10 0.82 23 0.435
21 A 11 10 0.78 23 0.435
22 A 16 15 0.91 23 0.652
23 A 13 12 0.84 23 0.522
24 A 11 10 0.89 21 0.476
25 A 8 7 0.90 23 0.304
26 A 8 7 0.90 23 0.304
27 A 10 9 0.86 23 0.391
28 A 17 16 0.82 23 0.696
29 A 4 3 1.19 12 0.250
30 A 4 3 0.94 19 0.158
31 A 6 5 0.99 18 0.278
32 A 6 5 1.07 18 0.278
33 A 6 5 1.09 16 0.312
34 A 1 1 1.00 10 0.100
35 A 7 6 1.14 18 0.333
36 A 4 4 1.06 18 0.222
37 A 4 4 1.02 18 0.222
38 A 5 4 0.97 20 0.200
39 A 5 4 1.00 20 0.200
40 A 5 4 1.05 18 0.222
41 A 7 6 0.96 12 0.500
42 A 4 3 1.13 20 0.150
43 A 7 6 1.22 20 0.300
44 A 7 6 1.19 20 0.300
45 A 5 4 0.98 20 0.200
46 A 5 4 0.99 18 0.222
47 A 7 6 0.98 12 0.500
48 A 4 3 1.12 20 0.150
49 A 7 6 1.71 20 0.300
50 N/A 3 0 1.00 20 0.000
51 N/A 3 0 1.00 20 0.000
52 A 5 4 1.37 18 0.222
53 A 3 3 1.23 16 0.188
54 A 3 3 1.71 16 0.188
55 A 7 6 1.15 14 0.429
56 A 3 3 1.03 16 0.188
57 A 3 3 1.03 16 0.188
58 A 3 3 1.02 16 0.188
59 A 3 3 1.58 16 0.188
60 F 0 0 N/A 0.000 N/A
61 A 5 4 1.00 18 0.222
62 A 6 5 1.00 18 0.278
63 A 2 2 1.04 24 0.083
64 A 2 2 1.62 24 0.083
65 A 2 2 1.03 22 0.091
66 A 2 2 1.74 21 0.095
67 A 2 2 1.05 24 0.083
68 A 2 2 1.58 24 0.083
69 A 2 2 1.06 24 0.083
70 A 2 2 1.31 23 0.087
71 A 2 2 1.01 23 0.087
72 A 2 2 1.15 21 0.095
73 A 2 2 1.35 20 0.100
74 A 2 2 1.02 23 0.087
75 A 2 2 1.14 23 0.087
76 A 2 2 1.30 23 0.087
77 A 2 2 1.08 23 0.087
78 A 2 2 1.87 25 0.080
79 A 7 6 0.87 32 0.188

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