Arithmetic Expression Binary Tree: Difference between revisions

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[[File:AST to Code Translation - Arithmetic Expression Binary Tree - Space.png|1000px]]
[[File:AST to Code Translation - Arithmetic Expression Binary Tree - Space.png|1000px]]


== Pareto Frontier Improvements Graph ==  
== Time-Space Tradeoff ==  


[[File:AST to Code Translation - Arithmetic Expression Binary Tree - Pareto Frontier.png|1000px]]
[[File:AST to Code Translation - Arithmetic Expression Binary Tree - Pareto Frontier.png|1000px]]

Revision as of 14:46, 15 February 2023

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

Time-Space Tradeoff

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