The quadtree is the two-dimensional case of a broader family of space-partitioning data structures. Octrees extend the same idea to three dimensions (splitting cubes into eight children), KD-trees use alternating axis-aligned splits (splitting along x, then y, then x again), and R-trees group nearby objects into bounding rectangles. Each variant makes different tradeoffs between construction time, query speed, and update cost.
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This one was a lot better than others. For every SAT problem with 10 variables and 200 clauses it was able to find a valid satisfying assignment. Therefore, I pushed it to test with 14 variables and 100 clauses, and it got half correct among 4 instances (See files with prefix formula14_ in here). Half correct sounds like a decent performance, but it is equivalent to random guessing.