Chocolate Chip Cookie Cake

1. Preheat oven to 350 degrees. To make an even circle of batter, trace an 8-inch plate on the underside of a piece of parchment paper, repeat five times.
2. Whisk flour, baking soda, and salt in a medium bowl.
3. Put butter and brown and granulated sugars into mixer bowl; mix on medium until pale and fluffy. Mix in vanilla, eggs, and yolks. Reduce speed to low.
4. Add flour mixture in 2 batches, alternating with the cream. Stir in chocolate chips.
5. For each of the 5 layers, drop 1 level cup batter onto center of a baking sheet lined with parchment (keep unbaked dough refrigerated). Using a small offset spatula, spread into an 8-inch circle. Bake until edges are pale golden brown, about 12 minutes. Remove from oven. Use offset spatula to reshape circle.
6. Return to oven; bake until edges are golden brown, 8 to 10 minutes more. Transfer to wire rack; let cool. Can be stored airtight up to 1 day.
7. Mix cream cheese and confectioners' sugar in clean mixer bowl on medium-high speed until pale and fluffy. Spread onto 4 cookies.
8. Stack cookies, placing unfrosted cookie on top. Refrigerate until frosting is set, at least 20 minutes or up to 4 hours. Serve at room temperature.

Serves 16.