Preheat the oven to 325°F (163°C). Place 1 (9-inch) unbaked pie crust in a 9-inch pie dish.
Melt 1/2 cup salted butter in a medium saucepan over medium heat. Stir in 1 cup light corn syrup, 1 cup brown sugar, 1 teaspoon vanilla extract, and 1/2 teaspoon salt. Cook, stirring constantly, until the mixture is smooth and combined, about 2–3 minutes.
Remove the pan from the heat. Lightly beat 4 large eggs. Gradually whisk the beaten eggs into the butter mixture until fully incorporated. Then stir in 1 1/2 cups pecan halves.
Pour the filling into the prepared pie crust, spreading it evenly.
Bake in the preheated oven for 50–60 minutes, or until the filling is set and a knife inserted into the center comes out clean. Check the pie after 30 minutes, and if the crust is browning too quickly, cover the edges with foil or a pie crust shield.
Allow the pie to cool completely on a wire rack before slicing. Serve plain, with whipped cream, or with vanilla ice cream.