''We're always going to try and be proactive but we didn't have the level of control we wanted," McCullum said of a poor first innings bowling display.
''Sometimes it works and people say you're a genius, and sometimes it doesn't and people criticise.
''That's our style of play, we know it gives us our greatest opportunity but you've still got to execute as well."
New Zealand fly west to Perth today, where they will meet up with two more seamers, Otago's Neil Wagner, called in as cover for Tim Southee, and Auckland's Mitch McClenaghan, who was named yesterday to replace the injured Jimmy Neesham.
It's possible neither will be needed for the second test starting on Friday.
However, New Zealand are expected to wait until Wednesday, when they are due to have a voluntary practice session, to get a clearer picture of Southee's return to full fitness.