Unemployment
doesn't compound, though. The highest it can go is 100%, and in practice people have a strong incentive to get new jobs and make new jobs long before it reaches that point. Unemployment has a negative feedback loop: the more people who are unemployed, the more wages drop, which makes it more cost effective to employ people, which reduces unemployment. Inflation has a positive feedback loop: the higher prices rise, the more people need to hunt for raises to make ends meet, which means higher costs and even higher prices. Or alternatively, the more time they spend looking for new jobs, meaning less actual work done, meaning lower productivity, less output, greater scarcity, and higher prices.
That was the big realization of the late 70s and early 80s. When the 70s inflation first got going in the late 60s, people thought "Eh, a little inflation is preferable to mass unemployment." By the end of the 70s, they'd learned that if you choose inflation, you get both, because people can't make prudent investments in the future if prices are not stable.