"A chaotic game where both players had many chances to win."

I just had "nice win, you were never in trouble" whereas I thought I was in quite a bit of trouble. Depends what one means by trouble, maybe.

Which technology is used here? Machine learning?

Tough match, your opponent played well.

Nice game, you saw your chance and took it.  

A back and forth battle

I mistake made all the difference

Many chances for both sides, but in the end you came out on top.

"Your chess skills resemble those of a liquidised wombat."*

"I am amazed given your clear lack of intelligence that you were even able to make legal moves. Oh wait, I take that back, the computer prevents you from making illegal moves."

*No wombats were injured by chess.com researching this statement.

"The game slipped through your fingers" or "You were winning but you ran out of time". When I'm playing better than now, "Nice win, you were never in trouble".

A crazy game. Both players came out on top.

Practically EVERY time I win, even if I dominate throughout or equal at start then dominate at end I get "Giveaway — One player was winning, but then gave it away." 
If I thoroughly dominate occasionally I'll get 'a chaotic game where both players had chances to win'.
The analysis engine never compliments me.