First go at logging logs for the log log log

Summary:
Implement the TODOs that @austin left.
Some of this could probably be cleaned up, but this is a first go.

Test Plan: Tested a bunch locally in #relrod on freenode.

Reviewers: austin, #haskell.org_infrastructure

Reviewed By: austin, #haskell.org_infrastructure

Subscribers: austin

Differential Revision: https://phabricator.haskell.org/D257