Optimizing an algorithm often involves finding ways to make it faster, more efficient, and more accurate. As such, there are many synonyms for "optimize algorithm" that reflect these different aspects. Some common synonyms include "streamline," "refine," "enhance," "improve," "accelerate," "fine-tune," "rework," "simplify," and "perfect." These words all suggest different approaches to optimizing an algorithm, from removing complexity to improving accuracy or speed. Ultimately, finding the right synonym for optimizing an algorithm will depend on what specific goal you hope to achieve and the context within which you are working.