Earlier quoted context omitted.
Oops, you're right that Elixir is not a computationally fast language. If you're looking for fast, raw number-crunching, look elsewhere. That said, real-world performance tends to be extremely good for real-time and networked applications (read: web apps). It's common for requests to be handled in microseconds, even in development.
Is Elixir really fast for web apps though? According to the web framework benchmark [1] the performance of Elixir is pretty bad - it's consistently slower than python and ruby frameworks. [1] https://www.techempower.com/benchmarks/#section=data-r12&hw=...
In the Techempower benchmarks the Phoenix tests had a ton of errors and there was no preview run so whoever submitted them wasn't able to fix them. Look at the error column. I assume they'll be fixed in the next run.