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We report on resent N-body simulations of galaxy formation performed on the GRAPE-4 (GRAvity PipE 4) system, a special-purpose computer for astrophysical N-body simulations. We review the astrophysical motivation, the algorithm, the actual performance, and the price per performance. The performance obtained is 332 Gflops averaged over 185 hours for a simulation of a galaxy formation with 786,400 particles. The price per performance obtained is 4,600 dollars per Gflops. The configuration used for the simulation consists of 1,269 pipeline processors and has a peak speed of 663 Gflops.