Integer log uniform sampling distribution issue

Hi! I was exploring the use of this for some systems optimization and noticed that the log uniform sampling, doesn't appear to be log uniform. It's more skewed towards the leading part of the distribution it seems. Here's a simple test case I cooked up:

https://github.com/bpkroth/FLAML/blob/test-log-uniform-sampling/test/test_log_uniform.py
https://github.com/bpkroth/FLAML/blob/a620aa0dc70ff59144d78c735be8adde4b8f997f/test/test_log_uniform.py