Preheat the oven to 350°F (175°C) and line baking sheets with parchment paper.
In a mixing bowl, cream together the softened butter, brown sugar, and granulated sugar until light and fluffy, about 2-3 minutes.
Add the sourdough starter discard, eggs, and vanilla extract to the butter-sugar mixture, beating until well combined.
In another bowl, whisk together the all-purpose flour, baking soda, and salt.
Gradually add the dry ingredients to the wet mixture, mixing until just combined. Do not overmix.
Fold in the chocolate chips until evenly distributed.
Using a cookie scoop or tablespoon, drop portions of dough onto the prepared baking sheets, leaving space between each cookie.
Bake in the preheated oven for 10-12 minutes, or until the edges are golden brown but the centers are still soft.
Allow the cookies to cool on the baking sheets for a few minutes before transferring them to a cooling rack to cool completely.