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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 [17] had the largest ratio of [1.17646999999999990]

# 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 1.10 17 0.353
2 A 6 5 1.10 17 0.294
3 A 5 4 1.09 15 0.267
4 A 5 4 1.31 13 0.308
5 N/A 1 0 1.00 17 0.000
6 N/A 1 0 1.00 17 0.000
7 A 5 4 1.42 14 0.286
8 A 5 4 1.46 16 0.250
9 A 13 12 1.18 17 0.706
10 A 12 11 1.21 17 0.647
11 A 11 10 1.25 15 0.667
12 A 4 3 1.11 13 0.231
13 N/A 1 0 1.00 17 0.000
14 N/A 1 0 1.00 17 0.000
15 A 4 3 1.15 14 0.214
16 A 4 3 1.17 16 0.188
17 A 21 20 1.51 17 1.176
18 A 20 19 1.56 17 1.118
19 A 14 13 1.43 15 0.867
20 A 4 3 1.03 13 0.231
21 N/A 1 0 1.00 17 0.000
22 N/A 1 0 1.00 17 0.000
23 A 4 3 1.06 14 0.214
24 A 4 3 1.08 16 0.188
25 A 2 2 1.00 23 0.087
26 A 2 2 1.00 23 0.087
27 A 2 2 1.00 21 0.095
28 A 1 1 1.00 15 0.067
29 A 2 2 1.00 23 0.087
30 A 2 2 1.00 23 0.087
31 A 2 2 1.00 23 0.087
32 A 2 2 1.00 25 0.080
33 A 2 2 1.00 25 0.080
34 A 2 2 1.00 23 0.087
35 A 5 4 0.94 17 0.235
36 A 2 2 1.00 25 0.080
37 A 2 2 1.00 25 0.080
38 A 2 2 1.00 25 0.080
39 A 2 2 1.00 25 0.080
40 A 2 2 1.00 25 0.080
41 A 2 2 1.00 23 0.087
42 A 5 4 0.81 17 0.235
43 A 2 2 1.00 25 0.080
44 A 2 2 1.00 25 0.080
45 A 2 2 1.00 25 0.080
46 A 7 6 1.14 25 0.240
47 A 6 5 1.11 25 0.200
48 A 5 4 1.05 23 0.174
49 A 6 5 1.30 17 0.294
50 N/A 2 0 1.00 25 0.000
51 N/A 2 0 1.00 25 0.000
52 A 13 12 1.17 25 0.480
53 A 12 11 1.15 25 0.440
54 A 12 11 1.10 23 0.478
55 A 5 4 0.99 17 0.235
56 N/A 2 0 1.00 25 0.000
57 N/A 2 0 1.00 25 0.000
58 A 21 20 1.46 25 0.800
59 A 21 20 1.42 25 0.800
60 A 15 14 1.25 23 0.609
61 A 5 4 0.87 17 0.235
62 N/A 2 0 1.00 25 0.000
63 N/A 2 0 1.00 25 0.000
64 A 2 2 1.00 17 0.118
65 A 2 2 1.00 19 0.105
66 A 2 2 1.00 19 0.105
67 N/A 1 0 1.00 19 0.000
68 N/A 1 0 1.00 19 0.000
69 N/A 1 0 1.00 19 0.000
70 A 2 2 1.00 25 0.080
71 A 2 2 1.00 25 0.080
72 A 2 2 1.00 23 0.087
73 N/A 1 0 1.00 25 0.000
74 N/A 1 0 1.00 25 0.000
75 N/A 1 0 1.00 25 0.000
76 A 6 5 1.11 24 0.208
77 A 5 4 1.07 24 0.167
78 A 4 3 1.00 22 0.136
79 A 3 2 1.00 21 0.095
80 N/A 1 0 1.00 24 0.000
81 N/A 1 0 1.00 24 0.000
82 A 7 6 1.06 24 0.250
83 A 6 5 1.05 24 0.208
84 A 6 5 0.99 22 0.227
85 A 3 2 1.00 21 0.095
86 N/A 2 0 1.00 24 0.000
87 N/A 2 0 1.00 24 0.000
88 A 13 12 1.06 24 0.500
89 A 12 11 1.05 24 0.458
90 A 5 4 0.85 22 0.182
91 A 3 2 1.00 21 0.095
92 N/A 2 0 1.00 24 0.000
93 N/A 2 0 1.00 24 0.000

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