Tokyo stocks rebounded for the first time in three trading days on Tuesday, boosted by optimism about the U.S. economy amid hopes for sooner-than-expected interest rate cuts by the Federal Reserve and a weaker yen against the U.S. dollar. The 225-issue Nikkei Stock Average ended up 599.03 points, or 1.57 percent, from Thursday at 38,835.10. Japanese financial markets were closed Friday and Monday for national holidays. The broader Topix index finished 17.69 points, or 0.65 percent, higher at 2,746.22. On the top-tier Prime Market, securities house, machinery and service issues were among the g…