In my experience, it is the opposite of a cost - "worrying about types" doesn't slow me down. Instead, types help guide me, help reason about my code, and help documentation. Coding with types is, for me, faster than without.
In fact, I find myself worrying about types the most in dynamic languages - I'm never sure what I can pass to a function, or what a certain thing is, so I have to manually review what a simple type signature or inferred type would tell me.