According to Cambridge Dictionary, "type out" and "type up" are the same
type something out/up phrasal verb with type verb [ I or T ]
to make a typed copy of a piece of text that is written by hand: Could you type up the minutes from the meeting, please?
But from other sources, it seems "type up" means to create a final version of something that has been partially written and "type out" means you just type whatever words on a paper or from a source (maybe word for word).
Is "I typed out the text" the same as "typed up the text"?