The antonyms for the phrase "sweating out" could vary depending on the context. If we refer to the physical act of sweating, then the antonyms could be 'dry' or 'cool.' For instance, during a workout or intense activity, one may sweat profusely, but after a while, they may begin to feel cooler and dry, which represents the opposite of sweating out.
On the other hand, if we talk about sweating out in terms of enduring an unpleasant experience, antonyms could be 'relaxing,' 'resting,' or 'comforting.' For example, after a hard day's work, one might want to unwind by relaxing on the couch or resting in bed, which can be the opposite of sweating out.