If you are talking about the top top guys, such a Roger Deakins and other "legends", it's really up to them how much. Anywhere from 10k up to whatever they negotiate per day. Feature rates are typically much lower than commercials because their longer shooting time.
But if you are talking about top guys such as an ASC member, it could be anywhere from 5k-30k+ per day for a commercial. And maybe 3-5k per day for features. But I'm nowhere near that, so maybe an ASC member who feels comfortable sharing this info can elaborate here.
If you go down from there, there are unionized/agent cinematographers, who is a part of a union (loca 600, 669 or similar) and/or represented by a agent. They can often charge from the mandated minimum 1k up to 5k for a day of commercial.
But this can vary wildly by person, such as the types of project (a ASC member might work on a project they feel passionate about, but has very low budget. But a much lesser known cinematographer might work on a commercial and get a higher rate).
Future more, there's often paid prep if you are talking about a project with proper budget, which can last for a month (or longer), which can also impact their earnings (let's say one month of shooting and 2 weeks of paid prep).
I'm in no way expert in this topic, this info mainly comes from talking to other crew member and industry friends, so please correct me if got anything wrong.