[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 4 4 1.00 16 0.250
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 6 6 1.00 16 0.375
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 3 3 1.00 10 0.300
32 A 20 7 1.00 18 0.389
33 A 16 7 1.00 18 0.389
34 A 12 7 1.00 16 0.438
35 A 0 0 0.00 0 0.000
36 A 0 0 0.00 0 0.000
37 A 30 10 1.00 20 0.500
38 A 24 10 1.00 20 0.500
39 A 18 10 1.00 18 0.556
40 A 0 0 0.00 0 0.000
41 A 0 0 0.00 0 0.000
42 A 23 9 1.00 20 0.450
43 A 19 9 1.00 20 0.450
44 A 15 9 1.00 18 0.500
45 A 0 0 0.00 0 0.000
46 A 0 0 0.00 0 0.000
47 A 61 11 1.00 20 0.550
48 A 49 11 1.00 20 0.550
49 A 37 11 1.00 18 0.611
50 A 0 0 0.00 0 0.000
51 A 0 0 0.00 0 0.000
52 A 14 7 1.00 20 0.350
53 A 10 6 1.00 20 0.300
54 A 4 3 1.00 20 0.150
55 A 0 0 0.00 0 0.000
56 A 0 0 0.00 0 0.000
57 A 21 10 1.00 22 0.454
58 A 15 11 1.00 22 0.500
59 A 5 5 1.00 22 0.227
60 A 0 0 0.00 0 0.000
61 A 0 0 0.00 0 0.000
62 A 17 9 1.00 22 0.409
63 A 13 8 1.00 22 0.364
64 A 4 4 1.00 22 0.182
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 6 6 1.00 22 0.273
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 5 5 1.00 22 0.227
80 A 12 8 1.00 24 0.333
81 A 14 9 1.00 24 0.375
82 A 7 7 1.00 22 0.318
83 A 23 11 1.00 24 0.458
84 A 32 13 1.00 24 0.542

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