---- 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 1.68677, Residual: 0.332042 
iter =   3, Function value 1.65405, Residual: 0.477018 
iter =   4, Function value 1.61302, Residual: 0.142922 
iter =   5, Function value 1.60888, Residual: 0.0809677 
iter =   6, Function value 1.60667, Residual: 0.0648005 
iter =   7, Function value 1.60351, Residual: 0.0601214 
iter =   8, Function value 1.60249, Residual: 0.066145 
iter =   9, Function value 1.60164, Residual: 0.0368939 
iter =  10, Function value 1.60133, Residual: 0.0252556 
iter =  11, Function value 1.6012, Residual: 0.0137144 
iter =  12, Function value 1.60116, Residual: 0.00557861 
iter =  13, Function value 1.60115, Residual: 0.00396689 
iter =  14, Function value 1.60115, Residual: 0.00147233 
iter =  15, Function value 1.60115, Residual: 0.00119981 
iter =  16, Function value 1.60115, Residual: 0.00101585 
iter =  17, Function value 1.60115, Residual: 0.00139896 
iter =  18, Function value 1.60115, Residual: 0.000311967 
iter =  19, Function value 1.60115, Residual: 0.000165684 
iter =  20, Function value 1.60115, Residual: 0.000124522 
iter =  21, Function value 1.60115, Residual: 0.000148965 
iter =  22, Function value 1.60115, Residual: 5.30587e-05 
Tao Object: 1 MPI process
  type: bqnkls
    Tao Object: (tao_bnk_cg_) 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_cg_) 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: 0
      Active Set subset type: subvec
      convergence tolerances: gatol=1e-08,       steptol=0.,       gttol=0.
      Residual in Function/Gradient:=0.
      Objective value=0.
      total number of iterations=0,                              (max: 2000)
      Solver terminated: 0      
    Rejected BFGS updates: 0
    CG steps: 0
    Newton steps: 22
    BFGS steps: 0
    Scaled gradient steps: 0
    Gradient steps: 0
    KSP termination reasons:
      atol: 0
      rtol: 22
      ctol: 0
      negc: 0
      dtol: 0
      iter: 0
      othr: 0
  Mat Object: (tao_bqnk_) 1 MPI process
    type: lmvmbfgs
    rows=64, cols=64
      Scale type: DIAGONAL
      Scale history: 1
      Scale params: alpha=1., beta=0.5, rho=1.
      Convex factors: phi=0., theta=0.125
      Max. storage: 5
      Used storage: 5
      Number of updates: 21
      Number of rejects: 0
      Number of resets: 0
      Mat Object: (tao_bqnk_J0_) 1 MPI process
        type: lmvmdiagbroyden
        rows=64, cols=64
          Scale history: 1
          Scale params: alpha=1., beta=0.5, rho=1.
          Convex factor: theta=0.125
          Max. storage: 1
          Used storage: 1
          Number of updates: 21
          Number of rejects: 0
          Number of resets: 0
  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: 1
  KSP Object: (tao_bnk_) 1 MPI process
    type: stcg
    maximum iterations=10000, initial guess is zero
    tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
    left preconditioning
    using UNPRECONDITIONED norm type for convergence test
  PC Object: (tao_bnk_) 1 MPI process
    type: lmvm
    Mat Object: (tao_bqnk_) 1 MPI process
      type: lmvmbfgs
      rows=64, cols=64
        Scale type: DIAGONAL
        Scale history: 1
        Scale params: alpha=1., beta=0.5, rho=1.
        Convex factors: phi=0., theta=0.125
        Max. storage: 5
        Used storage: 5
        Number of updates: 21
        Number of rejects: 0
        Number of resets: 0
        Mat Object: (tao_bqnk_J0_) 1 MPI process
          type: lmvmdiagbroyden
          rows=64, cols=64
            Scale history: 1
            Scale params: alpha=1., beta=0.5, rho=1.
            Convex factor: theta=0.125
            Max. storage: 1
            Used storage: 1
            Number of updates: 21
            Number of rejects: 0
            Number of resets: 0
    linear system matrix = precond matrix:
    Mat Object: 1 MPI process
      type: submatrix
      rows=52, cols=52
  total KSP iterations: 61
  Active Set subset type: subvec
  convergence tolerances: gatol=0.0001,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=5.30587e-05
  Objective value=1.60115
  total number of iterations=22,                          (max: 50)
  total number of function/gradient evaluations=25,      (max: 4000)
  Solution converged:    ||g(X)|| <= gatol