The final margin was 5 and 4, although the outcome was apparent long before Hoch conceded a 10-foot birdie putt on the 14th hole at La Costa. Had Woods made it, he would have been 8 under for the round.
'The way he played, I don't see anyone beating him this round,'' Hoch said.
Woods advanced to a semifinal against Adam Scott, a 22-year-old Australian who has patterned his swing after Woods and often plays practice rounds with him at the majors.
Scott defeated 49-year-old Jay Haas, 2 and 1.
In the other bracket, David Toms won five straight holes and was 6 up through 10 holes before he stumbled against Jerry Kelly. Toms won, 4 and 3, but having endured a night in the hospital with food poisoning, he would have preferred to end the match earlier.
Toms will play Peter Lonard, a 1-up winner over Darren Clarke.
'The earlier I could have finished, the better,'' Toms said. 'Hopefully, I can grind it out and get through, keeping making some putts.''
While match play is unpredictable over 18 holes, Woods looks simply unstoppable in the only World Golf Championship event he hasn't won.
Woods has played 58 holes and has lost only four. He still hadn't played the 18th hole through four rounds, the best indicator of how dominant he has been.
Hoch knew what he was up against on the opening hole.
Woods pulled his approach into a miserable lie, the ball buried in thick grass that sloped toward the bunker. His chip narrowly cleared the sand, hopped softly through the fringe and stopped five feet away for par.
'I played well,'' Woods said. 'I knew Scott would be a tough opponent. He always hits it so straight. I just had to keep up with him.''
He wasn't being gratuitous.
Hoch played well enough to win any other quarterfinal -- just not this one. He rarely made mistakes and was 3-under through 13 holes.
Hoch missed a 12-foot birdie putt on the ninth hole, and remained 3 down when Woods got up and down for par from 30 yards short of the green. Hoch winced and squeezed the ball in his hand tightly, knowing he needed to take advantage whenever he could.
Woods again showed no mercy.
Hoch rolled in a 25-foot birdie putt on No. 10, and Woods matched him from 15 feet.
On the par-5 11th, Hoch's bunker shot trickled toward the hole, only to catch enough of the left lip that it spun out. Woods holed his 15-footer for eagle, and Hoch was whipped.
'It lipped out? So I got (robbed) again,'' Hoch said, shaking his head. 'Normally, a birdie is pretty good.''
If that wasn't bad enough, Hoch had 15 feet for birdie on the next hole. Before he could putt, Woods made his birdie putt from 35 feet. At that point, Hoch bowed in mock adulation.
Hoch also lost 5 and 4 to David Duval in the quarterfinals three years ago, so he wasn't about to conceded the tournament to Woods. In the semifinals that year, Duval couldn't make a putt and lost 4 and 3 to Darren Clarke.
'He made everything against me, and then he couldn't break an egg,'' Hoch said. 'But Tiger is a different animal.''