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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 [78] had the largest ratio of [.520000000000000018]

# 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 3 3 1.00 13 0.231
2 A 2 1 1.00 13 0.077
3 A 2 2 1.00 13 0.154
4 A 2 2 1.00 11 0.182
5 A 1 1 1.00 8 0.125
6 A 4 3 1.00 11 0.273
7 A 3 3 1.00 13 0.231
8 A 4 3 1.00 13 0.231
9 A 3 2 1.00 13 0.154
10 B 2 2 2.20 13 0.154
11 B 2 2 4.33 15 0.133
12 A 2 2 1.00 9 0.222
13 A 2 2 1.00 11 0.182
14 A 2 2 1.00 11 0.182
15 A 2 2 1.00 13 0.154
16 A 3 2 1.00 11 0.182
17 A 3 2 1.00 13 0.154
18 A 2 2 1.00 9 0.222
19 A 2 2 1.00 11 0.182
20 A 1 1 1.00 11 0.091
21 A 1 1 1.00 13 0.077
22 A 3 2 1.00 11 0.182
23 A 3 2 1.00 13 0.154
24 A 5 5 1.00 13 0.385
25 A 3 2 1.00 13 0.154
26 A 4 4 1.00 13 0.308
27 A 2 2 1.00 11 0.182
28 A 2 2 1.00 8 0.250
29 A 6 4 1.00 11 0.364
30 A 4 4 1.00 13 0.308
31 A 4 3 1.00 13 0.231
32 A 5 5 1.00 13 0.385
33 A 5 4 1.00 23 0.174
34 A 4 4 1.00 23 0.174
35 A 4 4 1.00 23 0.174
36 A 3 3 1.00 23 0.130
37 A 3 3 1.00 23 0.130
38 A 4 4 1.00 23 0.174
39 A 4 4 1.00 23 0.174
40 A 5 4 1.00 23 0.174
41 A 6 5 1.00 25 0.200
42 A 5 5 1.00 25 0.200
43 A 5 5 1.00 25 0.200
44 A 4 4 1.00 25 0.160
45 A 4 4 1.00 25 0.160
46 A 4 4 1.00 25 0.160
47 A 4 4 1.00 25 0.160
48 A 5 5 1.00 25 0.200
49 A 7 6 1.00 25 0.240
50 A 6 6 1.00 25 0.240
51 A 6 6 1.00 25 0.240
52 A 5 5 1.00 25 0.200
53 A 5 5 1.00 25 0.200
54 A 5 5 1.00 25 0.200
55 A 5 5 1.00 25 0.200
56 A 5 5 1.00 25 0.200
57 A 5 5 1.00 25 0.200
58 A 15 12 1.00 25 0.480
59 A 14 12 1.00 25 0.480
60 A 14 12 1.00 25 0.480
61 A 13 11 1.00 25 0.440
62 A 13 11 1.00 25 0.440
63 A 9 7 1.00 25 0.280
64 A 9 7 1.00 25 0.280
65 A 13 11 1.00 25 0.440
66 A 13 11 1.00 25 0.440
67 A 14 12 1.00 25 0.480
68 A 15 12 1.00 25 0.480
69 A 14 12 1.00 25 0.480
70 A 14 12 1.00 25 0.480
71 A 13 11 1.00 25 0.440
72 A 13 11 1.00 25 0.440
73 A 13 11 1.00 25 0.440
74 A 13 11 1.00 25 0.440
75 A 14 12 1.00 25 0.480
76 A 14 12 1.00 25 0.480
77 A 15 12 1.00 25 0.480
78 A 15 13 1.00 25 0.520
79 A 15 13 1.00 25 0.520
80 A 14 12 1.00 25 0.480
81 A 14 12 1.00 25 0.480
82 A 14 12 1.00 25 0.480
83 A 14 12 1.00 25 0.480
84 A 14 12 1.00 25 0.480
85 A 14 12 1.00 25 0.480
86 A 15 13 1.00 25 0.520
87 A 15 13 1.00 25 0.520
88 A 16 13 1.00 25 0.520

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