Craig Levein was left frustrated after his side failed to take their chances on a day when Hibs did, resulting in a 2-1 victory for the away side.
“It was hard to take," the gaffer said. "I was pleased with the overall performance, I thought the first-half was better than the second but we just didn’t score enough goals to put the game to bed.
"We’ve played worse in derbies recently and won. The reasons we’ve lost the game are down to our wastefulness in front of goal."
The Jambos had a number of chances in both the first and second-half but failed to make them count, other than Peter Haring's headed opener.
"We needed a second to put us on what should have been easy street but the more we missed, the more I thought it’d be one of those days.”
Despite taking the lead, Hearts were pegged back by Daryl Horgan's close range effort and were made to pay for their failed chances when the Irishman scored again - this time with a strike from the edge of the area.
“Hibs scored with their first two shots on target, which is clinical, and we were the exact opposite. But, the good thing is we have the semi-final next week.
"It gives us a chance to play on the last day of the season, plus we have two big games in the next few weeks with Rangers and Hibs again, which gives us a quick chance to right the wrongs of today.”
Focus now turns to the semi-final, although Craig did admit his players were angry after losing in such a close manner.
“I’m angry as well as the supporters. When we lose a derby, nobody hurts more than I do. I understand the nature of it, as do the players. Nobody in the dressing room doesn’t feel the same anger and frustration as the fans do."