algorithmic rule vs algorithmic program

algorithmic rule and algorithmic program both are nouns.

Word	Noun	Adjective	Verb	Adverb
algorithmic rule	Yes	No	No	No
algorithmic program	Yes	No	No	No

As nouns, algorithmic rule and algorithmic program are synonyms defined as:

algorithmic rule and algorithmic program: a precise rule (or set of rules) specifying how to solve some problem

Other synonyms of algorithmic rule include algorithm.

algorithmic rule (noun)	algorithmic program (noun)
a precise rule (or set of rules) specifying how to solve some problem	a precise rule (or set of rules) specifying how to solve some problem