There's been plenty of inflation post-QE, just not in the CPI[1]. Housing prices post-crash are higher than ever, fueled by still-easy access to financing. Healthcare is up. Education is up. People are just taking the money that was shoved into the economy by QE and low interest rates, and using it for capital expenditures and investments instead of consumer goods. There's so much supply of consumer goods that the money is flowing to places where demand can't be met as easily.

[1] For example, the CPI tracks "owner's equivalent of rent" instead of raw housing prices https://www.bls.gov/cpi/factsheet-owners-equivalent-rent-and...