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2.3 Detailed conclusion table specific for Rubi results

The following table is specific to Rubi. 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 given. The larger this ratio is, the harder the integral was to solve. In this test, problem number [18] had the largest ratio of [31]

# 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 6 5 1.00 15 0.333
2 A 5 4 1.00 13 0.308
3 A 5 4 1.00 15 0.267
4 A 6 5 1.00 14 0.357
5 A 6 5 1.00 15 0.333
6 A 8 7 1.00 15 0.467
7 A 7 5 1.00 15 0.333
8 A 11 8 1.00 15 0.533
9 A 12 8 1.00 25 0.320
10 A 10 8 1.00 25 0.320
11 A 8 7 1.00 25 0.280
12 A 5 5 1.00 23 0.217
13 A 6 5 1.00 25 0.200
14 A 7 6 1.00 25 0.240
15 A 16 8 1.00 25 0.320
16 A 4 4 1.00 27 0.148
17 A 2 2 1.00 27 0.074
18 A 6 6 1.00 31 0.194
19 A 7 7 1.00 31 0.226
20 A 8 7 1.00 31 0.226
21 A 9 7 1.00 31 0.226

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