Preheat oven to 350 degrees F., rack in the middle position.
Melt the butter. (Nuke it for 3 minutes on high in a microwave-safe container, or melt it in a pan on the stove.) Mix in the white sugar and the brown sugar. Add the vanilla, the baking soda, salt and mix. Add the eggs abd stir it all up. Add half the flour, the chocolate chips, and the chopped pecans. Stir well to incorporate, Add the rest of the flour and mix throughly.
Drop by teaspoons onto greased cookie sheets, 12 cookies to a standard-size sheet. If the dough is too sticky to handle, chill it slightly and try again. Bake at 350 degrees F. for 10-12 minutes or until nicely browned.
Let cool two minutes, then remove cookies from the baking sheet and transfer to a wire rack to finish cooling.