Jane scored his first when finishing off a break by No8 Kieran Read, his second thanks to a run and offload in contact by Savea and his third in the last minute when intercepting and running in from 50m.
"We talked about being simple all week. Forwards and backs running the right lines, getting over the gain line. I think our strikes were good, getting over the gain line for a good cleanout, but they had a big step up from previous weeks," he said of the forwards.
Of Savea, he said: "He's playing well. When he gets the ball in his hands and goes into contact he's a big fella, he makes a lot of gains, a bit more than me in contact, but he always tells me that he's made a little big of a break here or scored a try there and he puts pressure on the old fella so to go out there and score one more than him, I guess I can get into him this week."
Savea, who was playing his fourth test, showed good composure to twice kick the ball ahead in scoring his first try. His second was to finish an All Blacks move which swept across the field.
All Blacks assistant coach Ian Foster said Savea was progressing nicely.
"He'll be very pleased with that but he was in a unit that played well and got a lot of front-foot ball," Foster said. "He continues to make strides, he can get better, but it's nice to see him get over the line."
* Patrick McKendry flew to Argentina courtesy of LAN Airlines (www.lan.com).