On the main page for the Rubi rule-based integrator, there is a table comparing results of Rubi against Maple and Mathematica.
On the face of it, the Maple results don't look so good. Maple is claimed as scoring about 82% correct on the author's example test suite. But only 42% of the suite gets an "optimal" result from Maple. The other 40% that Maple is claimed to get correct have results that are described as "Messy: