Is There a Mnemonic for When to Use уйти vs. выйти?

How do you remember when to use the right verb - or is it simply by memory - or are they interchangeable?

I suppose the same could be said for прийти/войти

Уйти = leave, go away.

Выйти (из) = exit (from some confound -- a room, a building, etc).

Прийти and войти аre the opposites of уйти and выйти, respectively.

Since the question is about mnemonics, the prefix is the key here:

Prefix у- indicates movement from "here" (from the point of view of the narrator or subject) out, elsewhere: ушел, убежал, уехал, уполз

Prefix вы- indicates movement from within to outside of something: вышел, выехал, выбежал, выполз

To illustrate, consider this narrative involving a certain education professional:

Мэри Поппинс:

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