Preheat the oven to 350 F. Line a 12 cup muffin pan with paper liners. In a medium bowl, whisk flour with pudding mix, salt, and baking soda. In a large bowl, mix butter with peanut butter, granulated sugar, and brown sugar until fluffy.
Add in egg and vanilla extract and mix until smooth. Add in the flour mixture, and mix until it is fully combined. Fold in the chocolate chips. Evenly divide the cookie dough between the paper liners. Bake for 12-15 minutes.