Melt the butter and set it aside to cool. It should be warm, not hot.
In a large mixing bowl, (preferably with a spout) beat the eggs with an electric hand mixer till foamy. Add the sugars and flour and beat till smooth.
Stir in the cooled melted butter, vanilla, pecans, and chocolate chips.
Pour filling into pie crust. Bake at 325° for 55-60 minutes, or until the top is brown and crisp and the filling is set.
Let the pie cool for at least 30 minutes before serving. It's great slightly warm or at room temperature.
Notes
You need a large pie tin for this recipe. If you use a smaller pan, it will overflow and make a mess in your oven. If you are using a purchased pie crust, make sure you get one labeled "deep dish".
Pie can be made a day or two ahead of time and stored in the refrigerator. You can also freeze it for 1-2 months.