Don't confuse "fuel efficiency" with "fuel economy".
Generally the best fuel economy is just after the last gear shifts in an automatic with light throttle... and somewhere in the general vicinity of 1000-1500 rpm in the last gear of a manual transmission. Give or take.
Fuel efficiency varies greatly engine to engine, but somewhere in the peak torque and peak horsepower range the engine is more efficient assuming it has about 80%-ish load on it. Mostly this isn't where it uses the least amount of fuel.
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