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> Are there alternative tools that focus on rewriting code to maximise performance while keeping error below some configurable bound?

There are! See followup work by @pavpanchekha and others on "Pherbie", which finds a set of Pareto-optimal rewritings of a program so that it's possible to trade-off error and performance: https://ztatlock.net/pubs/2021-arith-pherbie/paper.pdf.

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Fantastic! This appears to be available in the command line version of herbie with the `--pareto` flag:

> Enables multi-objective improvement. Herbie will attempt to simultaneously optimize for both accuracy and expression cost. Rather than generating a single "ideal" output expression, Herbie will generate many output expressions. This mode is still considered experimental. This will take a long time to run. We recommend timeouts measured in hours.

I've generally been disappointed by ferbie when I've tried it, but this does look really cool. I would love it if this provides a path to making it easier to get good tradeoffs between precision and accuracy.

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