[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 [22] had the largest ratio of [1.07143000000000010]

# 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 C 8 7 1.16 14 0.500
2 C 7 6 1.16 14 0.429
3 C 6 5 1.22 12 0.417
4 N/A 3 0 1.00 10 0.000
5 C 12 11 1.42 16 0.688
6 C 11 10 1.43 16 0.625
7 C 7 7 1.14 14 0.500
8 N/A 3 0 1.00 12 0.000
9 C 14 13 1.15 16 0.812
10 C 12 11 1.19 16 0.688
11 C 10 9 1.17 14 0.643
12 N/A 3 0 1.00 12 0.000
13 A 1 1 1.00 20 0.050
14 A 1 1 1.00 20 0.050
15 A 1 1 1.00 20 0.050
16 A 1 1 1.00 24 0.042
17 C 21 20 1.01 26 0.769
18 C 16 15 1.01 26 0.577
19 A 13 12 0.99 24 0.500
20 A 12 11 0.88 19 0.579
21 N/A 2 0 1.00 26 0.000
22 C 31 30 0.94 28 1.071
23 C 28 27 0.95 28 0.964
24 C 20 19 1.01 26 0.731
25 C 15 14 1.13 21 0.667
26 F 0 0 N/A 0.000 N/A
27 F 0 0 N/A 0.000 N/A
28 A 27 26 0.90 26 1.000
29 A 12 11 0.88 21 0.524

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