The pilot reported that while on base to final, the engine quit. He further reported that the airplane could not make it to the runway and force landed in a small field a half mile from the airport. The airplane impacted a tree during landing, which resulted in substantial damage to the airplane's fuselage and wings. The pilot reported there were no pre-accident mechanical failures or malfunctions with the airframe or engine that would have precluded normal operation. The Federal Aviation Administration (FAA) Inspector who responded to the accident stated, that when he arrived he only observed a few drops of fuel remaining in the airplane's undamaged fuel system. He further stated that prior to removal of the wings from the airplane for transport, all the fuel was drained from the fuel tanks, totaling approximately 1.5 gallons of fuel.