1. Place rack in the upper third of the oven and preheat oven to 300 degrees F. Line two baking sheets with parchment paper and set aside.
2. In the bowl of an electric stand mixer fitted with a paddle attachment, beat butter and sugars together until pale and fluffy, about 4 minutes. Add the egg and beat in for about 1 minute. Add vanilla extract and beat to incorporate.
3. In a medium bowl, whisk together flour, baking soda, and salt. Add the mixture all at once to the butter mixture. Beat on low speed until just incorporated. Finally mix in the chocolate chips and nuts.
4. Dollop or scoop cookie dough by the 2 tablespoonful onto prepared baking tins. Leave about 2 inches of room between each cookie. Sprinkle generously with DEAN & DELUCA Furee de Sel Smoked Sea Salt.