---- Minimum Surface Area With Plate Problem -----
mx:8, my:6, bmx:3, bmy:3, height:0.2
iter =   0, Function value 1.67039, Residual: 0.47529
  iter =   0,   Function value 1.67039,   Residual: 0.47529
  iter =   0,   Function value 1.57666,   Residual: 0.422933
  iter =   1,   Function value 1.5357,   Residual: 0.235251
  iter =   2,   Function value 1.52086,   Residual: 0.15742
  iter =   3,   Function value 1.51361,   Residual: 0.261202
iter =   1, Function value 1.50846, Residual: 0.0892734
  iter =   0,   Function value 1.50846,   Residual: 0.0892734
  iter =   1,   Function value 1.50774,   Residual: 0.122322
  iter =   2,   Function value 1.50673,   Residual: 0.0503806
  iter =   3,   Function value 1.50629,   Residual: 0.0253068
iter =   2, Function value 1.50583, Residual: 0.0192543
  iter =   0,   Function value 1.50583,   Residual: 0.0192543
  iter =   1,   Function value 1.50578,   Residual: 0.0190568
  iter =   2,   Function value 1.50573,   Residual: 0.00800704
  iter =   3,   Function value 1.50569,   Residual: 0.00748069
iter =   3, Function value 1.50566, Residual: 6.63642e-05
  iter =   0,   Function value 1.50566,   Residual: 6.63642e-05
  iter =   1,   Function value 1.50566,   Residual: 8.18996e-05
  iter =   2,   Function value 1.50566,   Residual: 2.45135e-05
  iter =   3,   Function value 1.50566,   Residual: 1.5701e-05
iter =   4, Function value 1.50566, Residual: < 1.0e-6
Tao Object: 1 MPI process
  type: bnls
    Tao Object: (tao_bnk_cg_) 1 MPI process
      type: bncg
        CG Type: ssml_bfgs
        Skipped Stepdirection Updates: 1
        Scaled gradient steps: 0
        Pure gradient steps: 0
        Not a descent direction: 0
        Line search fails: 0
        Mat Object: (tao_bnk_cg_tao_bncg_) 1 MPI process
          type: lmvmdiagbroyden
          rows=48, cols=48
            Max. storage: 1
            Used storage: 1
            Number of updates: 8
            Number of rejects: 0
            Number of resets: 4
            J0:
              Mat Object: (tao_bnk_cg_tao_bncg_mat_lmvm_J0_) 1 MPI process
                type: diagonal
                rows=48, cols=48
                  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.
      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=1
        using variable bounds
        Termination reason: SUCCESS
      Active Set subset type: subvec
      convergence tolerances: gatol=1e-05,       grtol=1e-08,       steptol=0.,       gttol=0.
      Residual in Function/Gradient:=1.5701e-05
      Objective value=1.50566
      total number of iterations=3,                              (max: 3)
      total number of function/gradient evaluations=6,          (max: 4000)
      Solver failed:        Maximum Iterations
    Rejected BFGS updates: 0
    CG steps: 12
    Newton steps: 3
    BFGS steps: 0
    Scaled gradient steps: 1
    Gradient steps: 0
    KSP termination reasons:
      atol: 0
      rtol: 3
      ctol: 1
      negc: 0
      dtol: 0
      iter: 0
      othr: 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: SUCCESS
  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_bnk_pc_lmvm_) 1 MPI process
      type: lmvmbfgs
      rows=48, cols=48
        Max. storage: 5
        Used storage: 3
        Number of updates: 3
        Number of rejects: 0
        Number of resets: 1
        J0:
          Mat Object: (tao_bnk_pc_lmvm_mat_lmvm_J0_) 1 MPI process
            type: diagonal
            rows=48, cols=48
              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
    linear system matrix, which is also used to construct the preconditioner:
    Mat Object: 1 MPI process
      type: seqaij
      rows=40, cols=40
      total: nonzeros=228, allocated nonzeros=228
      total number of mallocs used during MatSetValues calls=0
        not using I-node routines
  total KSP iterations: 60
  Active Set subset type: subvec
  convergence tolerances: gatol=1e-05,   grtol=1e-08,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=1.51576e-08
  Objective value=1.50566
  total number of iterations=4,                          (max: 50)
  total number of function/gradient evaluations=35,      (max: unlimited)
  total number of Hessian evaluations=4
  Solution converged:    ||g(X)|| <= gatol