Antonyms for the phrase "tearing into" could include phrases such as "slowly and methodically working through," "gently examining," or "carefully analyzing." These words suggest a calm, rational approach to problem-solving or decision-making, rather than the hurried, frenzied act of tearing into something. They imply a thoughtful, considered approach, rather than a hasty or impulsive one. Antonyms such as "deliberately taking apart" or "cautiously deconstructing" also suggest a more measured, controlled approach, rather than one that is reckless or aggressive. Each of these antonyms underscoring the importance of a thoughtful, careful approach to any task.