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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 [7] had the largest ratio of [.468750000000000000]

# 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 2 2 1.74 32 0.062
2 A 2 2 1.65 32 0.062
3 A 2 2 1.37 29 0.069
4 A 2 2 1.54 32 0.062
5 A 2 2 1.29 32 0.062
6 A 2 2 1.47 32 0.062
7 A 15 15 1.05 32 0.469
8 A 13 13 1.03 32 0.406
9 A 10 10 1.01 32 0.312
10 A 5 5 1.00 29 0.172
11 A 2 2 1.00 32 0.062
12 A 2 2 1.14 32 0.062
13 A 2 2 1.40 32 0.062
14 A 2 2 1.47 32 0.062
15 A 2 2 1.34 32 0.062
16 A 2 2 1.15 32 0.062
17 A 2 2 1.00 32 0.062
18 A 2 2 1.00 29 0.069
19 A 2 2 1.15 32 0.062
20 A 2 2 1.19 32 0.062
21 A 15 14 1.07 36 0.389
22 A 14 13 1.06 36 0.361
23 A 12 11 1.03 34 0.324
24 A 2 2 1.00 36 0.056
25 A 2 2 1.00 36 0.056
26 A 2 2 1.10 36 0.056
27 A 2 2 1.11 36 0.056
28 A 11 11 0.96 36 0.306
29 A 9 9 1.02 36 0.250
30 A 7 7 1.03 33 0.212
31 A 9 9 1.04 36 0.250
32 A 12 12 1.03 36 0.333
33 F 0 0 N/A 0.000 N/A
34 F 0 0 N/A 0.000 N/A
35 F 0 0 N/A 0.000 N/A
36 F 0 0 N/A 0.000 N/A
37 F 0 0 N/A 0.000 N/A
38 F 0 0 N/A 0.000 N/A
39 F 0 0 N/A 0.000 N/A
40 F 0 0 N/A 0.000 N/A
41 F 0 0 N/A 0.000 N/A
42 F 0 0 N/A 0.000 N/A
43 F 0 0 N/A 0.000 N/A
44 F 0 0 N/A 0.000 N/A
45 F 0 0 N/A 0.000 N/A
46 F 0 0 N/A 0.000 N/A
47 F 0 0 N/A 0.000 N/A
48 F 0 0 N/A 0.000 N/A
49 F 0 0 N/A 0.000 N/A
50 F 0 0 N/A 0.000 N/A
51 F 0 0 N/A 0.000 N/A
52 F 0 0 N/A 0.000 N/A
53 F 0 0 N/A 0.000 N/A
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 F 0 0 N/A 0.000 N/A
58 F 0 0 N/A 0.000 N/A
59 F 0 0 N/A 0.000 N/A
60 F 0 0 N/A 0.000 N/A
61 F 0 0 N/A 0.000 N/A
62 F 0 0 N/A 0.000 N/A
63 F 0 0 N/A 0.000 N/A
64 F 0 0 N/A 0.000 N/A
65 F 0 0 N/A 0.000 N/A
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
76 F 0 0 N/A 0.000 N/A
77 F 0 0 N/A 0.000 N/A
78 F 0 0 N/A 0.000 N/A
79 F 0 0 N/A 0.000 N/A
80 F 0 0 N/A 0.000 N/A
81 F 0 0 N/A 0.000 N/A
82 F 0 0 N/A 0.000 N/A
83 F 0 0 N/A 0.000 N/A
84 F 0 0 N/A 0.000 N/A
85 F 0 0 N/A 0.000 N/A
86 F 0 0 N/A 0.000 N/A
87 F 0 0 N/A 0.000 N/A
88 F 0 0 N/A 0.000 N/A
89 F 0 0 N/A 0.000 N/A
90 A 11 10 1.48 28 0.357
91 A 1 1 1.00 41 0.024
92 A 3 3 1.04 42 0.071
93 A 10 9 1.07 30 0.300
94 A 10 9 1.02 30 0.300
95 A 7 6 0.96 28 0.214
96 A 2 2 1.00 30 0.067
97 A 2 2 1.00 30 0.067
98 A 2 2 1.00 30 0.067
99 A 10 9 1.01 30 0.300
100 A 7 6 1.01 30 0.200
101 A 5 4 1.00 27 0.148
102 A 2 2 1.00 30 0.067
103 A 2 2 1.00 30 0.067
104 F 0 0 N/A 0.000 N/A
105 F 0 0 N/A 0.000 N/A
106 F 0 0 N/A 0.000 N/A
107 F 0 0 N/A 0.000 N/A
108 F 0 0 N/A 0.000 N/A
109 F 0 0 N/A 0.000 N/A
110 F 0 0 N/A 0.000 N/A
111 F 0 0 N/A 0.000 N/A
112 F 0 0 N/A 0.000 N/A
113 F 0 0 N/A 0.000 N/A
114 F 0 0 N/A 0.000 N/A
115 F 0 0 N/A 0.000 N/A
116 F 0 0 N/A 0.000 N/A
117 F 0 0 N/A 0.000 N/A
118 F 0 0 N/A 0.000 N/A
119 F 0 0 N/A 0.000 N/A
120 F 0 0 N/A 0.000 N/A
121 F 0 0 N/A 0.000 N/A
122 F 0 0 N/A 0.000 N/A
123 F 0 0 N/A 0.000 N/A
124 F 0 0 N/A 0.000 N/A
125 F 0 0 N/A 0.000 N/A
126 F 0 0 N/A 0.000 N/A
127 F 0 0 N/A 0.000 N/A
128 F 0 0 N/A 0.000 N/A
129 F 0 0 N/A 0.000 N/A
130 F 0 0 N/A 0.000 N/A
131 F 0 0 N/A 0.000 N/A
132 F 0 0 N/A 0.000 N/A
133 F 0 0 N/A 0.000 N/A
134 F 0 0 N/A 0.000 N/A

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