In the end, though, the visitors were unable to provide Warren Gatland with a win on his 100th Test in charge.
Ireland outscored the Welsh five tries to three, and dominated territory and possession with their highly effective pick and go drives around the contact area.
Ireland defended narrowly and while it allowed Wales some space out wide, they pinched it up the inside and applied their pressure on the Welsh pack from the breakdown.
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It was a hard chance, nearly fifty metres out and close to the left hand touchline, but Leigh Hafpenny made it look ridiculously easy.
"Johnny has a dead glute", said the head coach.
But Ireland - with their talisman Johnny Sexton leading the charge - took control of the game from the start of the second half.
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But once Wales managed to break the stranglehold they showed a real killer touch, with Shingler's burst paving the way for Gareth Davies to ignore a three man overlap and cross between the posts himself. Halfpenny's conversion and a penalty put Wales 13-5 ahead fully against the run of play, before Ireland finally forced further dividend.
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Stoke took the lead thanks to a curling long-range effort from Xherdan Shaqiri just before half-time. Schmeichel's poor clearance put Leicester in trouble, but an alert Shaqiri fired narrowly wide.
Murray was required to step up and slot a 76th-minute penalty as Sexton was treated, and although Schmidt says the out-half could have played on, Ireland wanted to back Joey Carbery.
"Unfortunately today his goal kicking wasn't what it normally is".
The two sides contributed equally to produce a brutal, compelling contest in the first half.
Wales couldn't gather any momentum and couldn't distribute ball through phases against a tough Irish line.
Asked if the Ireland squad can keep any grand slam talk at bay, Schmidt said: "It's a lot easier for us than it is externally because we do live in a bit of a bubble through the championship". Two tries from Stockdale and a try each from Aki, Leavy and Healy pushed the Irish to a 33-27 victory over Wales.
In the final two minutes of the half, Sexton finally got on the board with a penalty and a minute later, Ireland had their second score, with Bundee Aki going under the posts and Sexton converting, Ireland lead 15-13 at the break.
Wales took advantage by conjuring up a breakout try. Williams offloaded to Josh Navidi, who drew the last man.
Johnny Sexton didn't get any points on the board until the 35 minute, missing three kicks at goal in succession for the first time since 2010, when he was off-target with four for Leinster against Scarlets (stat courtesy of Stuart Farmer!).
Less than a minute later and the home team had a penalty attempt of their own, but Sexton missed.