CAKE: Grease 9x13-inch pan. Cream together eggs, sugar, butter and vanilla. Add apples. Add flour, soda, cinnamon, nutmeg and salt. Stir together. Add walnuts. Bake 45-50 minutes at 350-degrees. SAUCE: Bring butter, brown sugar, white sugar and half-and-half to boil. Pour over slices of cake.