The phrase "crying eyes out" is a commonly used expression that conveys intense sadness and desolation. However, there are several other synonyms that can be used to express the same sentiment. One alternative is "weeping uncontrollably," which highlights the loss of emotional control that accompanies the intense outpouring of tears. "Bawling," on the other hand, implies a loud and heart-wrenching display of grief. "Sobbing" is another word that can be used to describe the act of crying deeply and emotionally. Finally, "tearful" captures the idea of tears streaming down one's face, without necessarily referring to loud or uncontrollable crying.