In a confluent rewrite system, if the left hand side of a rule
X => Y can be reduced by some other rule X' => Y', then it is
permissible to delete the original rule X => Y altogether.
Confluence means that rewrite rules can be applied in any
order, so it is always valid to apply X' => Y' first, thus
X => Y is obsolete.
This was previously done in the completion procedure via a
quadratic algorithm that attempted to reduce each existing
rule via the newly-added rule obtained by resolving a critical
pair. Instead, we can do this in the post-processing pass
where we reduce right hand sides using a trie to speed up
the lookup.
This increases the amount of work performed by the
completion procedure, but eliminates the quadratic algorithm,
saving time overall.
Previously RewriteSystem::simplify() would attempt to apply every
rewrite rule at every position in the original term, which was
obviously a source of overhead.
The trie itself is somewhat unoptimized; for example, with a bit of
effort it could merge a node with its only child, if nodes stored
a range of elements to compare rather than a single element.
