Murray has spent just under nine hours on court in winning five matches - almost two hours less than the Swiss, who was also embroiled in a five-set tussle with Jo-Wilfried Tsonga on Wednesday.
Federer eventually came through 7-6 (7/4) 4-6 7-6 (7/4) 3-6 6-3 and, while the 17-time major winner would happily have avoided spending so long on Rod Laver Arena, he insists playing longer matches can also have its advantages.
"I would rather be in his shoes," said Federer, "that's exactly how you want to approach a semi-final, in my opinion.
"But there's also some positives to take out of a five-set match.
"I toughed it out and that gives you confidence when you have to go through those moments.
"The physical stamina was there, the focus was there till the very end. So it does give you a lot of confidence moving forward from here."
Murray has won 10 of their 19 meetings but has never beaten the 31-year-old in a grand slam.
Indeed, on their last two meetings at a major - the 2010 final here and the Wimbledon final last year - Murray has been reduced to tears by Federer's brilliance.
Murray did enjoy two notable wins in 2012, though, beating Federer to Olympic gold in London and then edging him out in the Shanghai Masters semi-final.
The world number two promptly took revenge in the last four of the World Tour Finals in November as their personal rivalry increased in intensity.
Federer claims it is a match-up he has relished over the years, especially now Murray's game has evolved into a more attacking style.
"I've always enjoyed playing against him because it tends to get very tactical," he said.
"It has never been a straightforward match. He would make you doubt (yourself) and play very different to the rest of the guys. I always enjoyed that, when it's just not every point being the same. We mix it up against each other.
"Now it's changed a bit because he's playing more offensive. The rallies aren't as long and as gruelling as they used to be."
Federer confirmed he would study their recent encounters prior to Friday's rematch.
"I think the Wimbledon and Olympic finals and also the World Tour Finals and Shanghai, I'll probably be looking at those with my coaches and go from there," he said.
"I know what to expect, it would be different if I hadn't played him because he has changed his game around a bit."
Murray is trying to make history as the first man in the Open era to back up his first grand slam title triumph by winning the next major as well.
And he reiterated how his US Open success last year has altered his mindset heading into the latter stages in Melbourne.
"I probably feel a little bit calmer than usual," said Murray, who has yet to drop a set so far.
"But I still have an understanding of how difficult it is to win these events. With the players that are still left in the tournament, it's going to be a very tough few days if I want to do that.
"I'll just stay focused, work hard in practice and hope I can finish the tournament well."