The algorithm maintains a running "best distance" that starts at infinity. As it walks the tree, it checks each visited point and updates the best distance if it finds something closer. Before recursing into a child node, it checks whether the closest possible point in that child's bounding box is farther than the current best. If so, the entire subtree gets pruned.
It is also necessary to emphasize that many optimizations are only possible in parts of the spec that are unobservable to user code. The alternative, like Bun "Direct Streams", is to intentionally diverge from the spec-defined observable behaviors. This means optimizations often feel "incomplete". They work in some scenarios but not in others, in some runtimes but not others, etc. Every such case adds to the overall unsustainable complexity of the Web streams approach which is why most runtime implementers rarely put significant effort into further improvements to their streams implementations once the conformance tests are passing.
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