The pilot reported that the engine "stumbled and quit" about 3 miles from the destination airport. He was able to momentarily restart the engine before the engine lost complete power. The pilot performed a forced landing into a cornfield and the nose gear collapsed when it encountered rough terrain. A post accident inspection did not reveal any anomalies consistent with a loss of engine power. The left and right fuel tanks contained approximately 3.9 gallons and 2.6 gallons, respectively. The temperature and dew point in the vicinity of the accident site were 24 degrees and 14 degrees Celsius, respectively. Data indicated the possibility of moderate carburetor icing at cruise power and serious icing at descent power under those conditions. The pilot reported that his most recent flight review and FAA medical examination were completed in October 2003 and April 2004, respectively. The airplane's most recent annual inspection was completed during October 2005.