Melt butter in water. Stir flour into boiling water. Cook and stir constantly until mixture leaves the side of the pan and becomes a smooth compact mass. Put in a mixing bowl - beat in eggs one at a time.
Spread in a 9x13 cake pan - UNGREASED! Bake at 425 for 20 minutes. Reduce heat to 350 and bake for another 25 minutes.
Cool.
Top with cream cheese, pudding, milk mixture (well beaten).
Cover with cool whip and drizzle with chocolate syrup.
