What was found
NR 1 ENGINE FLAMED OUT DURING CRUISE AT 5,000 FT, NO PRIOR INDICATIONS. CONT RELIGHT PLACED ON AND ENGINE RELIT IMMEDIATELY, N1 ROLLED BACK FROM APPROX 70 PERCENT TO 40 PERCENT BEFORE RELIGHT. FAILURE OCCURRED SHORTLY OR DURING AN AUTOTHROTTLE-COMMANDED POWER INCREASE FROM IDLE. IAS 250KTS, VMC. NO PARAMETERS EXCEEDED. NORMAL ENGINE OPERATIONS FOR REMAINDER OF FLIGHT.