One possibly powerful technique for letting us synthesize larger
programs would be to use some form of bidirectional search:

https://en.wikipedia.org/wiki/Bidirectional_search

By searching "forward" and "backwards" simultaneously, the effective
depth of the search can be halved.  There are technical issues with
implementing such a search, but it could give us a huge payoff.

I can imagine a few ways to try to implement bidirectional search
(perhaps restricted to the relational interpreter or to Barliman).
I'm curious if anyone else has thoughts on how we might implement this
search, and what the tradeoffs would be.

Thanks!

--Will

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