How does HeySis work out ovulation?

From your cycle average, or from a sign you logged, like a positive ovulation test. Basal temperature and LH tests from Apple Health refine the day. If your cycle lengths vary a lot, the calendar skips ovulation and phases and still shows your period forecast. On hormonal birth control or while breastfeeding, it doesn't mark ovulation at all.

Can I use it to avoid pregnancy?

No. Ovulation shifts from cycle to cycle, and some cycles have none at all, so a calendar can't find safe days. If you don't want to get pregnant, use contraception whatever the date. If you turn on those reminders with the goal set to avoiding pregnancy, they say the same.

The ovulation calendar, fertile days and reminders are free.