The raid on the compound was one of epic proportions and worthy of being a film in the near future. 

The raid started when US Special forces were fired upon by local combatants, they returned fire, eliminated their targets, and suffered no casualties. They set foot and breached a wall as to avoid the entrance which was believed to be booby-trapped. Several combatants were taken down and Baghdadi sent two of his wives in suicide vests to meet the special forces, both were taken out and the explosives did not go off. 

Baghdadi escaped to a tunnel with 3 children and detonated a vest of his own, it took his life and the three children. Following this the team began the DNA testing on what was left to confirm that it was him who had died, it was and they got their man.