Arithmetic Expression Binary Tree (AST to Code Translation)

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Description

Translate a given arithmetic expression binary tree into machine-readable code that uses as few registers as possible.

Related Problems

Related: AST to Code Translation

Parameters

$n$: number of nodes in the tree

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Sethi–Ullman Algorithm 1970 $O(n)$ $O({1})$ Exact Deterministic Time

Time Complexity graph

AST to Code Translation - Arithmetic Expression Binary Tree - Time.png

Space Complexity graph

AST to Code Translation - Arithmetic Expression Binary Tree - Space.png

Pareto Decades graph

AST to Code Translation - Arithmetic Expression Binary Tree - Pareto Frontier.png

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