Wade spoke afterwards and summed it up as Santa coming early and that it feels amazing to be through.
"It feels amazing, I'm so happy and Santa has come a little bit early for me," said Wade, who will return after Christmas to take on Ryan Joyce.
"I was numb at the end of the match. I can't explain how I came back and won.
"I'm going to enjoy myself now. I'm very excited for Christmas. It's my first one with my son and as a family so I'm really excited and really happy."
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PDC World Darts Championship, including schedules and the prize fund breakdown.