it mostly depends on one's definition of an algorithm.
our brain is mostly scatter-gather with fuzzy pattern matching that loops back on itself. which is a nice loop, inputs feeding in, found patterns producing outputs and then it echoes back for some learning.
but of course most of it is noise, filtered out, most of the output is also just routine, most of the learning happens early when there's a big difference between the "echo" and the following inputs.
it's a huge self-referential state-machine. of course running it feels normal, because we have an internal model of ourselves, we ran it too, and if things are going as usual, it's giving the usual output. (and when the "baseline" is out of whack then even we have the psychopathologies.)
https://www.youtube.com/watch?v=-rxXoiQyQVc