If it performs a computation, it is by definition running some algorithm regardless of how it's implemented in hardware / wetware. How is it a stretch?
The only way our brains could be not algorithmic is if something like soul is a real thing that actually drives our intelligence.
Why? Rain is not algorithmic, clouds are not algorithmic, waves in the sea are not algorithmic, yet they are entirely physical processes that have nothing to do with souls.
Heaven forbid. I'd go to jail for such a blasphemous transgression of common law, wouldn't I? Thank you kind stranger for reminding me of the legislation.
The only way our brains could be not algorithmic is if something like soul is a real thing that actually drives our intelligence.