Add Beam extractor and basic good_lp ILP extractor. #48
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As suggested by @oflatt in egraphs-good/egg#358 (comment), I'm contributing a beam-search extractor to the gym.
It's basically
faster-greedy-dag, except it maintains the top K candidate solutions per class. For K=1, the solutions are more or less the same asfaster-greedy-dag, for larger K they get progressively better. Beam search works well for egraph extraction because the greedy solution is close to optimal, and beam search works well for exploring the area around the greedy solution.Performance comes primarily from
FastEGraph, a compact efficient static representation of an egraph where:u16,u32, ..) that can represent the problem.TODO: