---- Minimum Surface Area With Plate Problem -----
mx:8, my:8, bmx:2, bmy:5, height:0.3
iter =   0, Function value 1.83917, Residual: 0.44807
iter =   1, Function value 1.79522, Residual: 0.58077
iter =   2, Function value 1.6861, Residual: 0.325694
iter =   3, Function value 1.6527, Residual: 0.463266
iter =   4, Function value 1.61291, Residual: 0.140527
iter =   5, Function value 1.60885, Residual: 0.0821046
iter =   6, Function value 1.60662, Residual: 0.0647188
iter =   7, Function value 1.60346, Residual: 0.0593318
iter =   8, Function value 1.60324, Residual: 0.128197
iter =   9, Function value 1.60161, Residual: 0.0357046
iter =  10, Function value 1.60138, Residual: 0.0198527
iter =  11, Function value 1.60122, Residual: 0.0143298
iter =  12, Function value 1.60119, Residual: 0.0195803
iter =  13, Function value 1.60115, Residual: 0.00495585
iter =  14, Function value 1.60115, Residual: 0.00153265
iter =  15, Function value 1.60115, Residual: 0.00122319
iter =  16, Function value 1.60115, Residual: 0.00103626
iter =  17, Function value 1.60115, Residual: 0.00156191
iter =  18, Function value 1.60115, Residual: 0.000331879
iter =  19, Function value 1.60115, Residual: 0.000179533
iter =  20, Function value 1.60115, Residual: 0.000137138
iter =  21, Function value 1.60115, Residual: 0.000126009
iter =  22, Function value 1.60115, Residual: 7.08451e-05
Tao Object: 1 MPI process
  type: bqnls
    Tao Object: (tao_bnk_) 1 MPI process
      type: bncg
        CG Type: ssml_bfgs
        Skipped Stepdirection Updates: 0
        Scaled gradient steps: 0
        Pure gradient steps: 0
        Not a descent direction: 0
        Line search fails: 0
        Matrix has not been preallocated yet
      TaoLineSearch Object: (tao_bnk_) 1 MPI process
        type: more-thuente
        maximum function evaluations=30
        tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9
        total number of function evaluations=0
        total number of gradient evaluations=0
        total number of function/gradient evaluations=0
        Termination reason: CONTINUE_ITERATING
      Active Set subset type: subvec
      convergence tolerances: gatol=1e-08,       grtol=1e-08,       steptol=0.,       gttol=0.
      Residual in Function/Gradient:=0.
      Objective value=0.
      total number of iterations=0,                              (max: 2000)
      Solver never run
    Rejected BFGS updates: 0
    CG steps: 0
    Newton steps: 0
    BFGS steps: 21
    Scaled gradient steps: 1
    Gradient steps: 0
    KSP termination reasons:
      atol: 0
      rtol: 0
      ctol: 0
      negc: 0
      dtol: 0
      iter: 0
      othr: 0
  Mat Object: (tao_bqnls_) 1 MPI process
    type: lmvmbfgs
    rows=64, cols=64
      Max. storage: 5
      Used storage: 5
      Number of updates: 21
      Number of rejects: 0
      Number of resets: 0
      J0:
        Mat Object: (tao_bqnls_mat_lmvm_J0_) 1 MPI process
          type: diagonal
          rows=64, cols=64
            Vec Object: 1 MPI process
              type: seq
      Rescale type: diagonal
      Rescale history: 1
      Rescale params: alpha=1., beta=0.5, rho=1.
      Rescale convex factor: theta=0.125
  TaoLineSearch Object: 1 MPI process
    type: more-thuente
    maximum function evaluations=30
    tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9
    total number of function evaluations=0
    total number of gradient evaluations=0
    total number of function/gradient evaluations=1
    using variable bounds
    Termination reason: SUCCESS
  KSP Object: 1 MPI process
    type: stcg
    maximum iterations=10000, initial guess is zero
    tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
    left preconditioning
    using DEFAULT norm type for convergence test
  PC Object: 1 MPI process
    type: lmvm
    PC has not been set up so information may be incomplete
    Mat Object: (tao_bqnls_) 1 MPI process
      type: lmvmbfgs
      rows=64, cols=64
        Max. storage: 5
        Used storage: 5
        Number of updates: 21
        Number of rejects: 0
        Number of resets: 0
        J0:
          Mat Object: (tao_bqnls_mat_lmvm_J0_) 1 MPI process
            type: diagonal
            rows=64, cols=64
              Vec Object: 1 MPI process
                type: seq
        Rescale type: diagonal
        Rescale history: 1
        Rescale params: alpha=1., beta=0.5, rho=1.
        Rescale convex factor: theta=0.125
  total KSP iterations: 0
  Active Set subset type: subvec
  convergence tolerances: gatol=0.0001,   grtol=1e-08,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=7.08451e-05
  Objective value=1.60115
  total number of iterations=22,                          (max: 50)
  total number of function/gradient evaluations=24,      (max: unlimited)
  Solution converged:    ||g(X)|| <= gatol