Over the -year life of the loan, your monthly payment of $ accumulates to $, meaning $ of interest.
Also during that time, your down payment of $ could have yielded an additional $ in the stock market which historically averages about 9% yield, but with taxes and such could conservatively be estimated around 6%. This is the opportunity cost of lost yield.
Points help buy a better interest rate, but unless they are rolled into the price of the house at resale, they are also part of the cost of borrowing.