[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 [46] had the largest ratio of [.692308000000000034]

# 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 40 0.025
2 A 1 1 1.00 38 0.026
3 A 1 1 1.00 40 0.025
4 A 1 1 1.00 40 0.025
5 A 1 1 1.00 40 0.025
6 A 1 1 1.00 41 0.024
7 A 1 1 1.00 39 0.026
8 A 1 1 1.00 41 0.024
9 A 1 1 1.00 41 0.024
10 A 1 1 1.00 41 0.024
11 A 1 1 1.00 40 0.025
12 A 1 1 1.00 41 0.024
13 A 2 2 1.00 32 0.062
14 A 2 2 0.99 38 0.053
15 A 4 3 1.17 38 0.079
16 A 4 3 1.47 38 0.079
17 A 4 4 1.00 33 0.121
18 A 4 4 1.00 34 0.118
19 A 9 8 1.00 43 0.186
20 A 2 2 1.00 24 0.083
21 A 2 2 1.00 24 0.083
22 A 2 2 1.00 24 0.083
23 A 2 2 1.00 22 0.091
24 A 8 7 1.01 24 0.292
25 A 11 10 0.94 24 0.417
26 A 14 13 0.96 24 0.542
27 A 2 2 1.00 26 0.077
28 A 2 2 1.00 26 0.077
29 A 2 2 1.00 26 0.077
30 A 2 2 1.00 24 0.083
31 A 10 9 1.02 26 0.346
32 A 13 12 0.95 26 0.462
33 A 17 16 1.22 26 0.615
34 A 14 13 1.33 26 0.500
35 A 8 7 0.88 26 0.269
36 A 12 11 1.32 26 0.423
37 A 15 14 1.23 26 0.538
38 A 19 18 1.20 28 0.643
39 A 16 15 1.29 28 0.536
40 A 13 12 1.46 28 0.429
41 A 12 11 1.17 28 0.393
42 A 17 16 1.24 28 0.571
43 A 5 4 1.24 17 0.235
44 A 4 3 1.28 17 0.176
45 A 5 4 1.26 15 0.267
46 A 10 9 1.43 13 0.692
47 A 5 4 1.29 17 0.235
48 A 4 3 1.27 17 0.176
49 A 2 2 1.00 35 0.057
50 A 2 2 1.00 35 0.057
51 A 2 2 1.00 35 0.057
52 A 2 2 1.00 33 0.061
53 A 2 2 1.00 32 0.062
54 A 2 2 1.00 35 0.057
55 A 2 2 1.00 35 0.057
56 A 2 2 1.00 35 0.057
57 A 2 2 0.99 35 0.057
58 A 2 2 0.99 35 0.057
59 A 2 2 1.05 33 0.061
60 A 2 2 1.04 32 0.062
61 A 2 2 0.99 35 0.057
62 A 2 2 1.01 35 0.057
63 A 2 2 1.02 35 0.057
64 A 8 7 1.76 35 0.200
65 A 9 8 1.76 28 0.286
66 A 1 1 1.00 52 0.019
67 A 1 1 1.00 57 0.018

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