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

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 [20] had the largest ratio of [.387097000000000024]

# 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 5 4 0.76 27 0.148
2 A 6 5 0.80 27 0.185
3 A 5 4 0.79 27 0.148
4 A 5 4 0.97 25 0.160
5 A 4 3 0.78 27 0.111
6 A 5 4 0.90 27 0.148
7 A 4 3 0.84 27 0.111
8 A 6 5 0.73 29 0.172
9 A 5 4 0.70 29 0.138
10 A 6 5 0.83 29 0.172
11 A 4 3 0.80 27 0.111
12 A 5 4 0.81 29 0.138
13 A 6 5 0.72 29 0.172
14 A 6 5 0.90 29 0.172
15 A 5 4 0.62 31 0.129
16 A 5 4 0.66 31 0.129
17 A 5 4 0.64 31 0.129
18 A 5 4 0.72 29 0.138
19 A 12 11 0.82 31 0.355
20 A 13 12 1.03 31 0.387
21 A 13 12 0.80 31 0.387
22 B 3 3 4.95 29 0.103
23 B 3 3 3.32 29 0.103
24 B 3 3 2.21 27 0.111
25 F 0 0 N/A 0.000 N/A
26 F 0 0 N/A 0.000 N/A
27 F 0 0 N/A 0.000 N/A
28 F 0 0 N/A 0.000 N/A
29 F 0 0 N/A 0.000 N/A
30 F 0 0 N/A 0.000 N/A
31 F 0 0 N/A 0.000 N/A
32 F 0 0 N/A 0.000 N/A
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 A 4 4 1.66 29 0.138
37 A 4 4 1.61 30 0.133

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