WASHINGTON — Did brutal interrogations produce the crucial intelligence that led to the killing of Osama bin Laden?

As intelligence officials disclosed the trail of evidence that led to the compound in Pakistan where Bin Laden was hiding, a chorus of Bush administration officials claimed vindication for their policy of “enhanced interrogation techniques” like waterboarding.

Among them was John Yoo, a former Justice Department official who wrote secret legal memorandums justifying brutal interrogations. “President Obama can take credit, rightfully, for the success today,” Mr. Yoo wrote Monday in National Review, “but he owes it to the tough decisions taken by the Bush administration.”

But a closer look at prisoner interrogations suggests that the harsh techniques played a small role at most in identifying Bin Laden’s trusted courier and exposing his hide-out. One detainee who apparently was subjected to some tough treatment provided a crucial description of the courier, according to current and former officials briefed on the interrogations. But two prisoners who underwent some of the harshest treatment — including Khalid Shaikh Mohammed, who was waterboarded 183 times — repeatedly misled their interrogators about the courier’s identity.