Offer free dollar bills, and a line will form until the cost of staying in line burns more than $1. Medicine isn't costly because it's inefficient, rather it can end up inefficient because the limited supply means it must somehow end up costly.
It is not possible to solve the healthcare crisis without somewhat deregulating the supply of healthcare and allowing it to increase. Until then, every subsidy just raises the price, and every efficiency improvement just creates room for more inefficiency elsewhere.
You can't solve the housing problem in San Francisco by building more efficient software for selling houses. Only interventions that somehow increase the total supply of living space can cause more total people to be able to live there.