The Irish number eight felt costly turnovers combined with the All Blacks' lethal line speed were the deciding factors in New Zealand's 42-10 victory at Eden Park.
"The goal, the thing that everyone is chasing, is quick ball," said Heaslip.
"Their forwards provided a great launching platform with quick ball off that. With Dan (Carter) pulling the strings, they have really good guys that can hit it up in the middle as well as really good finishers with outstanding pace.
He added: "If those guys can get consistent, quick ball it puts your defensive system under pressure. You know, it was kind of hard, it was very quick at times out there and that's hard to defend against."
Ireland started off the first Test with some exciting, running rugby of their own but they were often repelled backwards and, in turn, spilled balls that the All Blacks pounced on.
"I think holding on to the ball rather than turning it over is the best way to play the game," Heaslip remarked.
"When we held on to it I think that we posed some questions and made some inroads in their defence, when he got reasonably quick ball. However, when it slowed right down, their line was set and it was hard to break it down."
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The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
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Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
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The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.