outsweat means to sweat out or cause to sweat out.
Etymology
From Middle English outsweten, equivalent to out- + sweat.
verb
- To sweat out or cause to sweat out“But if a goddess beds a man, hungry for the one bliss — rank, imperfect, mortal bliss — the one that outsweats your divine eternal summer, goddamit, then you're right there with your lightning bolts.”
- To sweat more than; exceed in sweating“He'll try to use his yoga powers to outsweat me.”