    ---- Minimum Surface Area Problem -----
    mx: 32     my: 32

    Testing hand-coded gradient (hc) against finite difference gradient (fd), if the ratio ||fd - hc|| / ||hc|| is
    0 (1.e-8), the hand-coded gradient is probably correct.
    Run with -tao_test_display to show difference
    between hand-coded and finite difference gradient.
    ratio ||fd-hc||/||hc|| = 6.99921e-06, difference ||fd-hc|| = 9.88653e-07
    ratio ||fd-hc||/||hc|| = 5.17622e-06, difference ||fd-hc|| = 1.81331e-06
    ratio ||fd-hc||/||hc|| = 8.42428e-06, difference ||fd-hc|| = 2.95116e-06
    Tao Object: 16 MPI processes
      type: test
      convergence tolerances: gatol=1e-08,   steptol=0,   gttol=0
      Residual in Function/Gradient:=0
      Objective value=0
      total number of iterations=0,                          (max: 2000)
      total number of function/gradient evaluations=3078,      (max: 4000)
      Solution converged:    User Terminated