[QUOTE 2415100, member: 9609"]The tree was dead when I felled it three years ago, and the quality of the roots is surprising, hardly any signs of rot.
When you mention a tap root, is this something that goes vertically downwards ? (which would seem a little unusual)[/quote]
First myth, trees do not have a single tap root, they often have several. Eucalyptus develop deep roots because they grow best on free draining soil. You will find there are still 2 or 3, maybe even four substantial roots still to deal with. I have taken out several similar stumps out over the past year and I invariably get to the point you have and finish the job with a sharp long handled axe. From experience I would say there is about 2 - 3 hours work left there. Go in with the axe at the point where the roots leave the trunk, the side you choose is usually dictated by the side easiest to swing the axe from.
Let us know how you get on because I removed a Eucalyptus of a similar size about 4 years ago, BTW the wood burns very well but is resistant to just about everything else.