Is applying a formula a kind of reasoning?
You describe what is called expert system in AI. As such, they are artifacts of articial intelligence research.

As far as the Wikipedia definition goes,


  a reasoning system is a software system that generates conclusions from available knowledge using logical techniques such as deduction and induction,


which is vague enough to cover expert systems.

Is there any "intelligence" or independent reasoning in these systems? Certainly not; they are "stupid" in the sense that they just look up values in a table; no learning happens.

You will have to decide which frame of terminolgy reference you want to apply: academic AI or common sense?