[I apologize in advance for this wall of text, but I wanted to do my best to be thorough.]
Assuming both miners are being run at full power:
A Bitaxe running for a full day would generate 60,480 TH and consume 0.384 KWh. At my ~$0.14/KWh, this would cost me $0.048/day.
To generate 60,480 TH, I would need to run an S9 for 1.244 hours each day, consuming 1.711 KWh. At my cost/KWh, this would cost me $0.23 per day ($0.182/day more than the Bitaxe.
At presenr, I am able to find the Bitaxe on sale for $200, and am able to find an S9 in decent condition for $75, the price delta between these is $125.
Were I to purchase both miners today at the prices I found and listed above, I would need to run the both (the Bitaxe 24/7, and the S9 1 hour/day) for 686 days before the increased power efficiency of the Bitaxe made up for its greater initial capital expense.
Bear in mind that in this model, the Bitaxe is running 24/7, and the S9 is only running 1 hour a day to match the TH output of the Bitaxe.
If I wanted to, I could opt to pool those 686 cumulative hours the S9 would require, and run them consecutively, immediately after acquiring the miner. I could then leave it off for the remaining 657 days in this model, betting on network hashrate increasing and my rewards/TH dropping over time.
https://image.nostr.build/24944b63862fc068a3c58a77b59718154f6893adce100bc5d15cb9f3eb72bd56.jpg