So if it's 3.5 times faster then you require only roughly 30% of the time (or hardware) it took before, both savings combined seem pretty significant to me.
Edit: quick napkin math, let's take your $7k figure for the GPU and 4115 for the CPU. We need one third of that CPU so 4115 * 0.3 = 1234.5 now 1234.5 / 7000 = approx. 0.176.
18% of what it cost before...
Not quite. Further in the paper: "Similarly, for larger Amazon dataset, the red and black line never intersect, and the red and blue line intersects on 8 cores. This means that SLIDE beats Tensorflow-GPU with as few as 8 CPU cores and Tensorflow-CPU with as few as 2 CPU cores."
Yes, they have a beast machine, but it can outperform the GPU with only 8 cores in some cases.
Nvidea lists 300W as the TDP for the V100.
But in all cases, I would not expect that a serious research can outright beat the current NNs by 10x on all dimensions. This will take some time (and may not fully happen) and this paper is certainly a great advance.
https://ark.intel.com/content/www/us/en/ark/products/198017/...
Availability is pretty much non-existent though. Also you can OC it pretty close to 5GHz with decent water cooling.