'Unoptimized' code should still observe most of the performance tips in the manual (such as avoiding globals and type instability), while 'naive' code frequently does not. With some experience, you never write naive code, even for quick prototypes.
In those cases, Julia should outperform other dynamic lanuages significantly, and approach static languages in most cases.
Proper optimization means going in and removing allocations, ensuring that operations vectorize (simd), tailoring data structures for performance, adding parallelism etc. In the latter case Julia should virtually _always_ match static languages closely, otherwise it merits investigation.