At Lunch, England's score read at 200/6, with Bairstow (91*) and Sam Billings (7*), currently standing unbeaten at the crease. The hosts are still trailing by 216 runs.
Chasing 296, England was not off the finest start, opener Alex Lees was run out for just 9 at the team's score of 17. Zak Crawley and Ollie Pope resumed the chase for England.
A half-century from opener Tom Latham (76) and a solid knock from skipper Kane Williamson (48) took New Zealand to an advantageous position at the end of the day