When you get stuck thinking through an issue, sometimes it is best not to brute force it or stew over it but instead take a break. Often times when you stop focusing on an issue, you free your mind into a space for creative thinking. Sometimes a change of scenery helps in creating alternative approaches. Other times just focusing on something else or even sleeping on it, allows you to have a breakthrough. So even though it may seem counterintuitive, taking a break may be the most productive thing to do.