To mull over something is to turn a question over slowly in your mind. Mull over the offer, mull it over for a week.
The slowness is the point, since it is thinking without pressure to conclude. It is what people do on walks and in the bath rather than at a desk.
1phrasemull overTo turn a question over slowly in your mind.
“Give me the weekend to mull over the proposal.”
mull over is a phrase.
Also accepted in games: ponder
Practised in Thinking & Memory