The antonyms for "searches out" can be found in words like ignore, overlook, neglect, abandon, and disregard. When we ignore something, we choose not to search for it. Overlooking something means we do not pay close attention to it, or we do not actively search for it. Neglecting something implies a lack of care or attention, or a desire to avoid searching for it. Abandoning something means that we have decided to stop searching for it altogether, while disregarding something means we do not consider it important enough to search for it. All of these words represent a departure from actively searching out something.