Bax wanted to present new evidence - a report from a psychiatrist, Dr Karl Jansen - that was fresh in the sense that it was not available at sentencing. The Crown opposed the new evidence saying the sentencing judge had two psychiatric reports available at sentencing.
However, the Court of Appeal said those two reports were completed in November 2016 and January 2017 for the purposes of determining whether Bax was fit to plead, and were not for sentencing.
In fact, one of the report writers recommended that, in the event of Bax pleading or being found guilty, a pre-sentence psychiatric report might provide mental health information likely to improve understanding of the causes of the offending and inform rehabilitative interventions.
''Unfortunately, no pre-sentence psychiatric report was obtained. Given the complex nature of Mr Bax's mental health issues the sentencing Judge would have benefited from a report specifically directed to sentencing considerations,'' the Appeal Court said.
The court suppressed the details of the report and concluded that by failing to take into account Bax's personal circumstances as a factor reducing his culpability led to a material error in sentencing and the 15-year term was manifestly excessive.
During his sentencing it emerged that Bax threw a large chipper bar at Nilsson, before killing him with a butcher's knife after driving to his house following dinner with one of Nilsson's daughters, a few kilometres from where her father lived on August 4, 2016.
Bax then returned to the house he shared with Ms Nilsson and her family, including her brother, covered in blood holding the knife. Bax told them what he had done and asked for help in destroying evidence.
Crown solicitor Mike Smith said there was a high level of callousness and brutality against a 77-year-old man in his own home. It was a deliberate and conscious attack on a vulnerable man in an isolated area where police help could be an hour away.
In an apology letter Bax wrote to Nilsson's family, he hoped one day he could apologise to them in person and asked for their forgiveness.
Justice Edwin Wylie said Bax considered Nilsson as a role model and a father but impulse took over when he murdered him.