"All in all, we were totally outplayed to be honest all throughout the day, so you look back at that and you can analyse each 10 overs, but just outplayed".
With another match unfolding itself to be critical to both the teams wanting to get hold of the Cup, Australia face England at Birmingham in the second semi-finals in the ICC World Cup.
"It's been a process for the last four years".
England have reached their first Cricket World Cup final in 27 years by trouncing defending champions Australia by eight wickets, ensuring there will be a first-time victor of the sports biggest prize following the clash against New Zealand on Sunday.
Since then they have beaten India, New Zealand and turned in this, their best performance of the tournament to date.
Adil Rashid claimed 3-54, including the wickets of Carey (46) and Marcus Stoinis, and Archer sent back Glenn Maxwell, who scored at a run-a-ball for his 22 before being deceived by a slower ball.
Steve Smith was later run out on 85 runs as Australia finished up below-par 223 runs.
Eoin Morgan celebrates as he scores the winning runs.
In reply, England had no such problem with the pace and bounce of the wicket.
By the time Australia broke through, with Bairstow trapped lbw by Mitchell Starc, England were over half-way to their target with almost 32 overs remaining.
"I can't believe I have just watched that", former England captain Alastair Cook said in commentary for BBC. "England were so good".
The problem for Roy was that England had already squandered their lone review of the innings with an unsuccessful attempt to overturn fellow opener Jonny Bairstow's lbw dismissal for 34.
Vaughan also took a sly dig at Australia's preparations for the match in which they walked around the field with no shoes on.
The loss of England's opener did little to stop their charge towards to the final, as Root (49no) and captain Morgan (45no) clinched victory with a mammoth 107 balls spare.
That party was only briefly stopped when Roy was controversially given out caught behind off Cummins on 85, despite replays showing he'd missed the ball.
Australian coach Trevor Bayliss was drafted in, sparking an impressive transformation that has seen England climb to number one in the ODI rankings and move to within touching distance of World Cup glory.