Preheat oven to 350°F (175°C). Place a rack in the center position and lightly spray a 9" pie plate with nonstick baking spray; set aside.
If your butter is not already melted, melt the 2 sticks (8 ounces) unsalted butter. If freshly melted, let it cool until warm but not hot.
In a large bowl, add the melted butter, 1 cup packed light brown sugar, and 1 cup granulated sugar. Beat or whisk until well combined and smooth.
Add 1 large egg, the 2 egg yolks (all at room temperature), and 2 teaspoons vanilla extract to the butter–sugar mixture. Beat until incorporated and smooth.
Add 2 cups all-purpose flour, 1/4 cup cornstarch, and 1/2 teaspoon salt to the wet mixture. Stir with a spatula or mixer on low speed just until the dry ingredients are incorporated — do not overmix.
Fold in 2 cups semi-sweet chocolate chips and 3/4 cup toffee bits until evenly distributed.
Spread the cookie mixture evenly into the prepared 9" pie plate, pressing to the edges and leveling the top.
Bake on the center rack for 35–40 minutes, or until the top is golden brown, the edges are completely set, and the center is only slightly jiggly.
Remove the pie from the oven and transfer the pie plate to a wire rack. Cool at least 1 hour before slicing and serving.