Its just like self dissolving heart stents that are programmed to release compounds to resolve body and tissue rejection as well as avoid inflammation at specific points in time. Those are in a way AI to a certain extent.
What singularity suggests is that the AI becomes even smarter than humans themselves (with artificial ability to learn and connect knowledge for application purposes) and ultimately establish as a superior race over time since they are self thinking entities. This is vastly different from what you mentioned earlier.
Thought of a more recent example, just like the upgraded sentinels in Xmen, days of future past. Exactly like that, they were programmable bots and later become self thinking and even smarter than humans and proceed to eliminate not only their programmed object (mutants) but also humans.