As you know, distillation is the process of purifying liquid. Similarly, in DDD, distillation is a process that filters out information that is not required, and keeps only meaningful information. It helps you to identify the core domain and the essential concepts for your business domain. It also helps you to filter out generic concepts until you get the core domain concept.
The core domain should be designed, developed, and implemented with the highest attention to detail, using developers and designers, as it is crucial to the success of the whole system.
In our table-reservation system example, which is not a large or complex domain application, it is not difficult to identify the core domain. The core domain here exists to share real-time, accurate information regarding vacant tables in restaurants, and allows the user to reserve them in a hassle-free process.