At the beginning level, players must learn and memorize a large number of Dingshi, which means fixed patterns. Their scopes are small, restricted to less than 30 cross points, if my memory serves right. They mostly happen in the corners or close to the borders, which helps greatly reduce the complexity. If one masters these Dingshi, s/he can easily beat ~90% players based on my experience. This part of the game can be done easily by computers.
The next level is to develop skills or feels to identify Xing, which refers to larger patterns. They are still constrained to a small area, like 1/8 ~ 1/6 of the whole board. They are further away from the corners and the boarders. So the complexity increases dramatically. Most players of intermediate level can feel if a Xing is good or not, but not many of them knows why. So s/he develops the intuition, but not the actual skills and insights. That means, if two Xings can be developed from the current state and both feel good, they can't tell which is better in most cases. In reality, there could be dozens of good Xings developed from the current state, and one also needs to consider the potential moves of the opponents. Due to the complexity, the vast majority of players can't go beyond this level no matter how hard they work on. It is like it requires a combination of talent, personality and hard work to become a top mathematician or a NBA starter.
The next level requires one's skills and insights to understand Shi, which includes strategy of the whole game, potential, etc. It is to develops the skills and feeling on the whole board. It is to develop accurate calculation on the potential covering area of the existing stones and how strong the potential is. It asks the questions that how synergetic are two regions of your stones , although they may look far apart at present. At this level, players pay great attention to the beginning stage of the game. The board is vastly empty, so the complexity is the highest. The potential gains or losses can be huge. One must consider the opponent's playing history to take fully advantage. It happens often to the players who enter the early stage of this level that they realized in the later stages of the game that one stone should have been placed one position left or right or higher. This initial stage is called Buju.
I think computers can get to the second level but it looks very hard to get to the third level in the next 10 years. Keep in mind that there are big differences in term of one's skills and insights even within the highest levels. For amateur players and low level professionals, they are way beyond their understanding. Even it is explained a move would be better if placed just one spot left, they wouldn't understand it.