chocochip gooey treats

FOR THE CRUST:
1 box yellow cake mix (15.25 oz)
1 large egg
1 stick salted butter, melted (8 tablespoons)
FOR THE FILLING:
1 package cream cheese (8 ounce), room temperature
2 large eggs
1 teaspoon pure vanilla extract
1 box powdered sugar (16 ounces)
1 stick salted butter, melted (8 tablespoons)
1 package semi-sweet chocolate chips (12 ounces)