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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 [48] had the largest ratio of [.250000000000000000]

# 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 17 0.059
2 A 5 2 1.00 17 0.118
3 A 4 2 1.00 17 0.118
4 A 3 2 1.00 17 0.118
5 A 2 2 1.00 15 0.133
6 A 1 1 1.00 9 0.111
7 A 1 1 1.00 17 0.059
8 A 2 2 1.00 17 0.118
9 A 3 2 1.00 17 0.118
10 A 4 2 1.00 17 0.118
11 A 5 2 1.00 17 0.118
12 A 6 3 1.00 48 0.062
13 A 5 3 1.00 37 0.081
14 A 4 3 1.00 26 0.115
15 A 3 3 1.00 28 0.107
16 A 4 3 1.00 39 0.077
17 A 5 3 1.00 50 0.060
18 A 6 3 1.00 61 0.049
19 A 2 2 1.00 19 0.105
20 A 2 2 1.00 50 0.040
21 A 2 2 1.00 39 0.051
22 A 2 2 1.00 28 0.071
23 A 1 1 1.00 17 0.059
24 A 1 1 1.00 19 0.053
25 A 2 2 1.00 30 0.067
26 A 2 2 1.00 41 0.049
27 A 1 1 1.00 7 0.143
28 A 1 1 1.00 7 0.143
29 A 1 1 1.00 7 0.143
30 A 6 3 1.00 13 0.231
31 A 5 3 1.00 13 0.231
32 A 4 3 1.00 13 0.231
33 A 3 3 1.00 13 0.231
34 A 2 2 1.00 13 0.154
35 A 3 3 1.00 13 0.231
36 A 4 3 1.00 13 0.231
37 A 5 3 1.00 13 0.231
38 A 6 3 1.00 13 0.231
39 A 6 3 1.00 19 0.158
40 A 5 3 1.00 19 0.158
41 A 4 3 1.00 19 0.158
42 A 3 3 1.00 19 0.158
43 A 2 2 1.00 19 0.105
44 A 3 3 1.00 19 0.158
45 A 4 3 1.00 19 0.158
46 A 5 3 1.00 19 0.158
47 A 6 3 1.00 19 0.158
48 A 9 3 1.00 12 0.250
49 A 1 1 1.00 19 0.053
50 A 2 2 1.00 21 0.095
51 A 2 2 1.00 15 0.133
52 A 8 3 1.00 20 0.150
53 A 12 3 1.00 25 0.120
54 A 17 3 1.00 30 0.100
55 A 6 2 1.00 21 0.095
56 A 24 3 1.00 21 0.143
57 A 20 3 1.00 21 0.143
58 A 11 3 1.00 19 0.158
59 A 4 2 1.00 18 0.111
60 A 9 4 1.00 21 0.190
61 A 8 5 1.00 21 0.238
62 A 9 4 1.00 21 0.190
63 A 12 3 1.00 21 0.143
64 A 5 2 1.00 22 0.091
65 A 17 3 1.00 22 0.136
66 A 14 3 1.00 22 0.136
67 A 11 3 1.00 20 0.150
68 A 4 3 1.00 19 0.158
69 A 6 4 1.00 22 0.182
70 A 6 4 1.00 22 0.182
71 A 8 3 1.00 22 0.136
72 A 11 3 1.00 22 0.136
73 A 14 3 1.00 22 0.136
74 A 28 3 1.00 25 0.120
75 A 20 3 1.00 25 0.120
76 A 13 3 1.00 23 0.130
77 A 5 2 1.00 18 0.111
78 A 13 4 1.00 25 0.160
79 A 11 5 1.00 25 0.200
80 A 11 5 1.00 25 0.200
81 A 13 4 1.00 25 0.160
82 A 17 3 1.00 25 0.120
83 A 1 1 1.00 39 0.026
84 A 1 1 1.00 38 0.026
85 A 1 1 1.00 36 0.028
86 A 1 1 1.00 35 0.029
87 A 1 1 1.00 35 0.029
88 A 1 1 1.00 38 0.026
89 A 1 1 1.00 38 0.026
90 A 5 2 1.00 15 0.133
91 A 4 2 1.00 15 0.133
92 A 3 2 1.00 15 0.133
93 A 2 2 1.00 13 0.154
94 A 1 1 1.00 11 0.091
95 A 2 2 1.00 15 0.133
96 A 3 3 1.00 15 0.200
97 A 4 3 1.00 15 0.200
98 A 5 3 1.00 15 0.200

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