Arithmetic Expression Binary Tree: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
Line 24: Line 24:
|}
|}


== Time Complexity graph ==  
== Time Complexity Graph ==  


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


== Space Complexity graph ==  
== Space Complexity Graph ==  


[[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 Decades graph ==  
== Pareto Frontier Improvements Graph ==  


[[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 14:04, 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

Pareto Frontier Improvements Graph

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