Guilin is the landscape China printed on its money. The Li River scene on the back of the 20 yuan note is real, it sits near the town of Xingping, and you can stand on the spot. Chinese painters and poets have been drawing these steep green limestone towers for centuries, and an old saying claims Guilin's scenery is the best under heaven. The name itself means "forest of sweet osmanthus", after the trees that scent the city in autumn. The Guilin area is also part of the South China Karst, a UNESCO World Heritage serial site that includes the Guilin Karst.
The region is really three places that are an hour or two apart. Guilin is a mid-sized, tidy city with a few hills and lakes in the middle of it. Yangshuo, about 66 km south by road, is a small town ringed by karst, a backpacker stop since the 1980s that is now mostly a domestic holiday town. Longji, the rice terraces, are 95 km north in the opposite direction, up a mountain road, in Zhuang and Yao villages. Five days is the right length because the river, the countryside and the terraces each need most of a day, and none of them is a quick tick.
The plan goes in order. Day one is Guilin itself, day two the Longji terraces as a day trip, day three the Li River cruise from Guilin to Yangshuo, day four the Xianggong Hill sunrise and the 20 yuan view at Xingping, day five the Yulong River and the cycle lanes. Sleep the first two nights in Guilin and the last three in Yangshuo, and leave from there the morning after day five. Read the China page first. Start on a Sunday if you can: Longji lands on a Monday, the cruise on a Tuesday and the Yulong raft on a Thursday, all calmer than a weekend. Avoid Chinese holiday weeks, when every one of these places is full.