Break one’s neck
(PW)
try very hard
She broke her neck last night trying to finalize the proposal.
(free)
break (one's) neck To make the utmost possible effort.
break one's neck (to do something) and break one's back (to do something)
Fig. to work very hard to accomplish something. I broke my neck to get here on time. There is no point in breaking your back. Take your time.
(dictionary)
break one's neck,
Informal. to make a great effort: We broke our necks to get there on time.
(yourdictionary)
break one's back
Also, break one's neck. Make a great effort, work very hard. For example, I've been breaking my back over this problem for the past week, or Don't break your neck to get there; we'll wait for you. Both versions of this expression, polite equivalents of break one's ass, transfer the literal fracture of one's back or neck to figurative exertion. However, break one's neck has the secondary connotation of proceeding with reckless speed, a sense also conveyed by the term breakneck pace. Originally this idiom alluded to literally breaking one's neck by rushing heedlessly along, but it has been used figuratively for the past 300 years.