How to say "more precisely, rather" in Russian?

Точнее

"more precisely, rather" is Точнее in Russian.

Точнее means "more precisely, rather" in English.

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Word #2844 of 4,000 by frequency in Russian — level B2.

Example

Он придёт завтра, точнее, послезавтра утром.

He will come tomorrow, or more precisely, the day after.