Preheat your oven to 325F and grease and line a 9-inch springform pan
For the cookie base, in a bowl cream together your butter and peanut butter until whipped and lightened, about 2 minutes
Add in your sugars and continue to beat until fluffy then mix in your egg, egg yolk, and vanilla
In a separate bowl, whisk together your flour, baking soda, and salt
Chop half of your chocolate chips on a cutting board, cutting them into smaller pieces. This will give you a mix of small and large chocolate bites
Add your dry ingredients into your wet as well as all of your chocolate chips, mixing until just combined. Do not over-mix! I recommend mixing with the mixer briefly, until a few flour streaks remain, and then using a spatula to finish combining.
Spread the dough evenly into your pan and bake for 45 minutes, until the center is set and the edges are lightly golden. Don’t overbake, you want the “cake” to be soft but firm enough to slice. If desired, you can insert a thermometer into the center to check for 190F internal temp
Remove from the oven and cool in the pan for 10 minutes before removing from the pan and cooling completely on a wire rack
While your cookie cools, make your frosting by beating your softened butter in a bowl with a mixer to smooth it out. Beat in your peanut butter before sifting in your powdered sugar and whipping until smooth. Mix in your vanilla and whipping cream until combined and add to a piping bag
Decorate your cookie cake as desired and enjoy!