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

2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. 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 given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [77] had the largest ratio of [24]

# 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 10 6 1.00 16 0.375
2 A 0 0 0.00 0 0.000
3 A 8 5 1.00 16 0.312
4 A 0 0 0.00 0 0.000
5 A 4 3 1.00 14 0.214
6 A 0 0 0.00 0 0.000
7 A 0 0 0.00 0 0.000
8 A 15 11 1.00 18 0.611
9 A 0 0 0.00 0 0.000
10 A 10 7 1.00 18 0.389
11 A 0 0 0.00 0 0.000
12 A 5 5 1.00 16 0.312
13 A 0 0 0.00 0 0.000
14 A 0 0 0.00 0 0.000
15 A 5 3 1.00 12 0.250
16 A 13 8 1.00 18 0.444
17 A 0 0 0.00 0 0.000
18 A 11 7 1.00 18 0.389
19 A 0 0 0.00 0 0.000
20 A 5 5 1.00 16 0.312
21 A 0 0 0.00 0 0.000
22 A 0 0 0.00 0 0.000
23 A 31 12 1.00 18 0.667
24 A 0 0 0.00 0 0.000
25 A 22 10 1.00 18 0.556
26 A 0 0 0.00 0 0.000
27 A 7 7 1.00 16 0.438
28 A 0 0 0.00 0 0.000
29 A 0 0 0.00 0 0.000
30 A 0 0 0.00 0 0.000
31 A 20 7 1.00 18 0.389
32 A 16 7 1.00 18 0.389
33 A 12 7 1.00 16 0.438
34 A 0 0 0.00 0 0.000
35 A 0 0 0.00 0 0.000
36 A 30 10 1.00 20 0.500
37 A 24 10 1.00 20 0.500
38 A 18 10 1.00 18 0.556
39 A 0 0 0.00 0 0.000
40 A 0 0 0.00 0 0.000
41 A 23 9 1.00 20 0.450
42 A 19 9 1.00 20 0.450
43 A 15 9 1.00 18 0.500
44 A 0 0 0.00 0 0.000
45 A 0 0 0.00 0 0.000
46 A 61 11 1.00 20 0.550
47 A 49 11 1.00 20 0.550
48 A 37 11 1.00 18 0.611
49 A 0 0 0.00 0 0.000
50 A 0 0 0.00 0 0.000
51 A 14 7 1.00 20 0.350
52 A 10 6 1.00 20 0.300
53 A 4 3 1.00 20 0.150
54 A 0 0 0.00 0 0.000
55 A 0 0 0.00 0 0.000
56 A 21 10 1.00 22 0.454
57 A 15 11 1.00 22 0.500
58 A 5 5 1.00 22 0.227
59 A 0 0 0.00 0 0.000
60 A 0 0 0.00 0 0.000
61 A 3 3 1.00 14 0.214
62 A 17 9 1.00 22 0.409
63 A 13 8 1.00 22 0.364
64 A 5 5 1.00 22 0.227
65 A 0 0 0.00 0 0.000
66 A 0 0 0.00 0 0.000
67 A 43 11 1.00 22 0.500
68 A 31 12 1.00 22 0.546
69 A 7 7 1.00 22 0.318
70 A 0 0 0.00 0 0.000
71 A 0 0 0.00 0 0.000
72 A 0 0 0.00 0 0.000
73 A 5 4 1.00 20 0.200
74 A 9 6 1.00 22 0.273
75 A 11 7 1.00 22 0.318
76 A 6 6 1.00 22 0.273
77 A 11 8 1.00 24 0.333
78 A 16 12 1.00 24 0.500
79 A 6 6 1.00 22 0.273
80 A 12 8 1.00 24 0.333
81 A 14 9 1.00 24 0.375
82 A 8 8 1.00 22 0.364
83 A 23 11 1.00 24 0.458
84 A 32 13 1.00 24 0.542

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