"At any rate" is a commonly used phrase that means regardless or anyway. However, it's always great to have synonyms to avoid repetition and make your writing more interesting. Here are some synonymous phrases that you can use instead of "at any rate":
- Nonetheless
- Nevertheless
- In any case
- Anyway
- In any event
- Be that as it may
- In spite of everything
- Regardless of everything
These synonyms will come in handy when you're trying to add more meaning and depth to your writing, ultimately making it more engaging and interesting to read.