[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 [25] had the largest ratio of [.648649000000000031]

# 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 F 0 0 N/A 0.000 N/A
2 F 0 0 N/A 0.000 N/A
3 F 0 0 N/A 0.000 N/A
4 F 0 0 N/A 0.000 N/A
5 F 0 0 N/A 0.000 N/A
6 F 0 0 N/A 0.000 N/A
7 A 12 11 1.06 41 0.268
8 A 9 8 1.09 39 0.205
9 A 7 6 1.07 34 0.176
10 A 10 9 1.42 41 0.220
11 F 0 0 N/A 0.000 N/A
12 A 2 2 1.45 33 0.061
13 A 2 2 1.31 30 0.067
14 A 2 2 1.32 30 0.067
15 A 2 2 1.20 28 0.071
16 A 6 5 1.00 27 0.185
17 A 2 2 1.00 30 0.067
18 A 2 2 1.20 30 0.067
19 A 2 2 1.37 30 0.067
20 A 11 10 1.05 37 0.270
21 A 9 8 1.06 35 0.229
22 A 7 6 1.06 34 0.176
23 A 11 10 1.31 37 0.270
24 B 17 16 2.17 37 0.432
25 B 25 24 3.50 37 0.649
26 A 6 5 1.15 32 0.156
27 A 2 2 1.00 26 0.077
28 A 2 2 1.00 37 0.054
29 A 2 2 1.00 37 0.054
30 A 2 2 1.00 35 0.057
31 A 2 2 1.00 30 0.067
32 A 2 2 1.00 37 0.054
33 A 2 2 1.00 37 0.054
34 A 2 2 1.00 37 0.054
35 A 2 2 0.92 39 0.051
36 A 2 2 1.01 39 0.051
37 A 2 2 1.04 39 0.051
38 A 2 2 1.00 39 0.051
39 A 2 2 1.29 39 0.051
40 A 2 2 1.17 39 0.051
41 A 2 2 0.86 39 0.051
42 A 2 2 1.00 26 0.077
43 A 2 2 1.19 41 0.049
44 A 2 2 1.19 39 0.051
45 A 2 2 1.27 37 0.054
46 A 8 7 1.05 32 0.219
47 A 2 2 1.00 39 0.051
48 A 2 2 1.12 39 0.051
49 A 11 10 1.39 36 0.278
50 F 0 0 N/A 0.000 N/A
51 F 0 0 N/A 0.000 N/A
52 A 18 17 1.69 41 0.415
53 A 11 10 1.11 41 0.244
54 F 0 0 N/A 0.000 N/A
55 F 0 0 N/A 0.000 N/A
56 F 0 0 N/A 0.000 N/A
57 A 11 10 1.04 41 0.244
58 A 9 8 1.05 39 0.205
59 A 7 6 1.06 34 0.176
60 A 12 11 1.28 41 0.268
61 A 17 16 1.67 41 0.390
62 F 0 0 N/A 0.000 N/A
63 F 0 0 N/A 0.000 N/A
64 C 19 18 1.44 41 0.439
65 C 12 11 1.01 41 0.268
66 F 0 0 N/A 0.000 N/A
67 F 0 0 N/A 0.000 N/A
68 F 0 0 N/A 0.000 N/A
69 F 0 0 N/A 0.000 N/A
70 F 0 0 N/A 0.000 N/A
71 F 0 0 N/A 0.000 N/A
72 F 0 0 N/A 0.000 N/A
73 F 0 0 N/A 0.000 N/A
74 F 0 0 N/A 0.000 N/A
75 F 0 0 N/A 0.000 N/A

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