Short answer
For most graduating students these are the two options, and as a resident the monthly payments won't differ much. Both qualify for PSLF. If you're on the fence, RAP may be the lean because of its unpaid interest subsidy. In a very high earning field going for PSLF with large loans, look hard at IBR.
A short clip from his webinar for residents and fellows, with captions.
Watch the full webinar from 5:51The difference that matters later
IBR caps your payment at whatever the 10-year standard repayment would be. RAP doesn't have that cap. As a resident that likely doesn't mean much, but as an attending earning a really good income, there can be a huge difference between the two payments.
As a resident
Payment amounts are calculated differently, but for residents there won't be much difference between RAP and IBR monthly payments. Both are eligible for public service loan forgiveness. Both let you file taxes separately to isolate your income from your spouse's when figuring your payment.
Which way to lean
If you're on the fence, you may want to lean toward RAP, because there are some really favorable benefits around the unpaid interest subsidy. If you're going into a very high income potential field, going for PSLF, with a decent amount of loans, take a look at IBR.
Questions that shape the answer
Are you hoping for loan forgiveness? Where did the loans come from? What's your tax filing status? If you're married, how much does your spouse make, and do they also have government loans?
Where Jay covers this
Jump to each moment in his webinars.