[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 [3] 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 7 6 0.93 10 0.600
2 A 6 5 1.04 10 0.500
3 A 7 6 0.98 8 0.750
4 A 4 3 0.94 6 0.500
5 A 8 7 1.00 10 0.700
6 A 8 7 0.97 10 0.700
7 A 6 5 1.06 10 0.500
8 A 7 6 1.05 10 0.600
9 A 6 5 0.82 21 0.238
10 A 7 6 0.76 21 0.286
11 A 6 5 0.94 19 0.263
12 A 5 4 0.83 21 0.190
13 A 8 7 0.87 21 0.333
14 A 6 5 0.83 21 0.238
15 A 12 11 0.87 23 0.478
16 A 12 11 0.82 23 0.478
17 A 7 6 0.92 21 0.286
18 A 7 6 0.94 23 0.261
19 A 7 6 0.97 23 0.261
20 A 11 10 0.84 23 0.435
21 A 11 10 0.84 23 0.435
22 A 16 15 0.92 23 0.652
23 A 13 12 0.85 23 0.522
24 A 11 10 0.92 21 0.476
25 A 8 7 0.92 23 0.304
26 A 8 7 0.97 23 0.304
27 A 10 9 0.91 23 0.391
28 A 17 16 0.87 23 0.696
29 A 5 4 1.13 12 0.333
30 A 5 4 0.95 19 0.211
31 N/A 1 0 1.00 18 0.000
32 A 6 5 0.99 18 0.278
33 A 6 5 1.05 18 0.278
34 A 6 5 1.10 16 0.312
35 A 1 1 1.00 10 0.100
36 A 7 6 1.11 18 0.333
37 A 10 9 0.98 18 0.500
38 A 6 6 1.08 18 0.333
39 A 5 4 1.00 20 0.200
40 A 5 4 1.03 18 0.222
41 A 7 6 1.00 12 0.500
42 A 4 3 1.10 20 0.150
43 A 7 6 1.22 20 0.300
44 A 5 4 0.98 20 0.200
45 A 5 4 0.99 18 0.222
46 A 7 6 0.99 12 0.500
47 A 4 3 1.10 20 0.150
48 A 7 6 1.83 20 0.300
49 A 5 4 1.34 18 0.222
50 N/A 3 0 1.00 20 0.000
51 N/A 3 0 1.00 20 0.000
52 A 3 3 1.20 16 0.188
53 A 3 3 1.70 16 0.188
54 A 7 6 1.12 14 0.429
55 A 3 3 1.04 16 0.188
56 A 3 3 1.01 16 0.188
57 A 3 3 1.02 16 0.188
58 A 3 3 1.70 14 0.214
59 F 0 0 N/A 0.000 N/A
60 A 5 4 0.99 18 0.222
61 A 6 5 1.03 18 0.278
62 A 2 2 1.07 23 0.087
63 A 3 2 0.96 28 0.071
64 A 4 3 0.72 33 0.091
65 N/A 3 0 1.00 28 0.000
66 N/A 3 0 1.00 33 0.000
67 A 2 2 1.87 25 0.080
68 A 5 4 0.95 35 0.114
69 A 6 5 0.77 40 0.125
70 N/A 3 0 1.00 35 0.000
71 N/A 3 0 1.00 40 0.000

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