Guaranteeing O(log n): How AVL Trees Solve Binary Search Tree Degeneration

Developers often assume binary search trees automatically deliver O(log n) performance, but sorted input—timestamps, auto-incrementing IDs, and database logs—causes them to degenerate into linked lists with O(n) performance. AVL trees solve this critical problem through automatic rotations that maintain strict height balance. Understanding this distinction is essential for building reliable systems where performance predictability matters.