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Notice two points: first, the original tree (<code>xs</code>) persists. Second, many common nodes are shared between the old tree and the new tree. Such persistence and sharing is difficult to manage without some form of [[Garbage collection (computer science)|garbage collection]] (GC) to automatically free up nodes which have no live references, and this is why GC is a feature commonly found in [[Functional programming|functional programming languages]].
'''Time Complexity Analysis: Search, Insertion & Deletion'''
▲'''Time Complexity:''' In the best scenario (balanced tree), the time complexity would be O(log n) because the height of a balanced binary search tree is O(log n).
In unbalanced trees, the height could potentially grow to O(n), which would result in a worst-case time complexity of O(n).
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