The phrase "more regularly" can be replaced with a variety of synonyms, depending on the context of the sentence. Some options include "more frequently," meaning something happens with greater frequency or in shorter intervals; "more consistently," suggesting that something is done in a uniform or reliable way; "more routinely," implying that something is done as a matter of habit or standard operating procedure; and "more systematically," indicating that something follows a logical or structured process. Other possibilities include "more persistently," "more steadily," and "more continuously." Choosing the right synonym depends on the tone and purpose of the sentence in which it appears.