Earlier quoted context omitted.
GPUs have worse performance per watt than a tuned FPGA. Some newer FPGAs can have 400 megabits of on chip RAM - that's huge, significantly larger than the 128-256k cache typically available on chip for a GPU that turns into big energy savings.
GPUs have worse performance per watt than a tuned FPGA Citation needed. Maxwell Jetson TX1 is claimed to achieve 1TFlops FP16 at <10W, and soon to be released Pascal based replacement will probably be even more efficient.
The TX1 power consumption including DRAM and other subsystems peaks 20-30W. Typical usage is 10-15W if you're running anything useful.
That 1 TFLOP counts a FMA instruction as 2 flops - while accurate and useful for say dot products - for other workloads the throughput will be half of this number.
As an example of an FPGA performing significantly better than the TX1 is DeepPhi [0].