Preheat the oven to 325°F (163°C).
In a large mixing bowl, beat the 2 eggs until foamy.
Add the 1/2 cup all-purpose flour, 1/2 cup granulated sugar, and 1/2 cup firmly packed brown sugar; beat until well blended.
Stir in the 1 cup melted and cooled butter until combined.
Fold in the 1 cup semi-sweet chocolate chips and 1 cup chopped nuts until evenly distributed.
Pour the filling into the 9-inch unbaked pie shell and smooth the top.
Bake at 325°F (163°C) for about 1 hour, until the filling is set around the edges and slightly jiggly in the center.
Let the pie cool to warm or room temperature before slicing and serving.