Hyperopt offers hp.uniform and hp.loguniform, both of which produce real values in a min/max range. hp.loguniform is more suitable when one might choose a geometric series of values to try (0.001, 0.01, 0.1) rather than arithmetic (0.1, 0.2, 0.3). Which one is more suitable depends on the context, and typically does not make a large difference, but is worth considering.
https://databricks.com/blog/2021/04/15/how-not-to-tune-your-model-with-hyperopt.html
