“苦思而得出”可以翻译为“come up with after much painstaking thinking” 或者 “derive through intense contemplation” 。
“come up with”有“想出、提出”的意思,“after much painstaking thinking”表示“经过很多艰苦的思考”;“derive”意为“得出、推导”,“through intense contemplation”指“通过深入的思考” 。