I can give a very small sample of data. Uber is $30-33 to my suburb on a Thursday night. I even had a $28 once which is ludicrous (I calculated the theoretical minimum cost of the route to be around $27.50 so it was almost a perfect run).

I've caught taxis on the exact same route twice because my phone was dead and I couldn't order an Uber. One was $48 and the other was $55. I believe it's more on a Friday or Saturday (they have some 'off-peak' fee or something), but Uber obviously has the occasional surge on those nights too.

Using Taxis, in Melbourne at least, seems to be lighting money on fire.