(a) If a petition for reopening is filed within 3 years or less of the date of the decision or order, the judge may reopen the case to correct an error of fact or law in the decision or order.

(b) When a petition for reopening is filed more than 3 years after the date of the decision or order, the judge may reopen the case if the judge finds that the need to correct the error outweighs the interests of the public and heirs or devisees in the finality of the probate proceeding.