 This randomized phase III trial is studying docetaxel, prednisone, and bevacizumab to see how well they work compared to docetaxel and prednisone in treating patients with prostate cancer that did not respond to hormone therapy. Drugs used in chemotherapy, such as docetaxel and prednisone, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Monoclonal antibodies, such as bevacizumab, can block tumor growth in different ways. Some block the ability of tumor cells to grow and spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. Bevacizumab may also stop the growth of tumor cells by blocking blood flow to the tumor. It is not yet known whether docetaxel, prednisone, and bevacizumab are more effective than docetaxel and prednisone in treating prostate cancer. 