Runaway combinatorics are impossible to beat by just running at them.

There are 10^80 atoms in the universe.

There are 10^122 possible games of chess.

If there are runaway combinatorics, you have to figure out how to set constraints to close off vast amounts of territory.

Ideally those constraints cut out mostly the bad while keeping mostly the good.

But if you don't constrain, you'll never even get started.