The phrase "at the boiling point" typically refers to something or someone who is at the verge of losing their patience or temper. The antonyms for this phrase would consist of words that indicate a calm, composed, and peaceful demeanor. These words could include phrases like "cool as a cucumber," "calm, collected," or "unflappable." Other antonyms could include terms like "content," "untroubled," and "serene." Regardless of the specific words used, the opposite of "at the boiling point" generally involves a state of mind where one is able to maintain a sense of composure and control, no matter what challenges or difficulties may arise.