From a native speaker's point of view, are these sentences both gramatically acceptable and equally common in spoken/written English?
I'll call you when I get to the gym.
I'll call you when I've got to the gym.
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The problem with the second one is tense. When "have" is the auxiliary (or helping) verb, the second verb takes the past participle which usually ends in "-en" and in this case would be "gotten".
"I'll call you when I've gotten to the gym"