The act of converting a rather ad-hoc and manual process conducted with implicit constraints, assumptions and rules (otherwise known as intuition or common sense) into a systematic one with clear and unambiguous rules at every stage such that it can be performed by a robot (or computer), in a repeatable fashion, to produce same or better effects (subject to a certain objective function).
Algorithized (adj): A manual process made algorithmic e.g. algorithized data analysis process
Algorithizable (adj): A manual process that can be algorithized i.e. totally automated with unambiguous rules that can be performed by a robot (computer)
Algorithizability (noun): Propensity of a process being algorithized i.e. totally automated with unambiguous rules that can be performed by a robot (computer)
Algorithization (noun): The process of algorithizing a manual/ad-hoc process
Algorithizer (noun): The person who performs the algorithization process
There you go. Hope history remembers me for this :)