The "out" parameter looks like part of a failed attempt to make this tail recursive. Either eliminate the "out" parameter and the then-needless inner helper function, or make the first recursive call properly tail-recursive (by passing combining the "(f...)" bit with the previous "out" accumulator).
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The following is an implementation of List.map3. How do I make it more concise/ idiomatic?
let list_map3 f xs1 xs2 xs3 = let rec map3' f (xs1, xs2, xs3) out = match (xs1, xs2, xs3) with | (h1::t1, h2::t2, h3::t3) -> (f h1 h2 h3) :: map3' f (t1,t2,t3) out | ([],[],[]) -> out | (_,_,_) -> failwith "all the lists need to be of the same lenght" map3' f (xs1, xs2, xs3) []