---- 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 1.57666, 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 =   4, Function value 1.50947, Residual: 0.117507
iter =   5, Function value 1.50778, Residual: 0.0626655
iter =   6, Function value 1.50687, Residual: 0.0385374
iter =   7, Function value 1.5063, Residual: 0.0318989
iter =   8, Function value 1.50589, Residual: 0.022596
iter =   9, Function value 1.50576, Residual: 0.0199543
iter =  10, Function value 1.5057, Residual: 0.00853368
iter =  11, Function value 1.50568, Residual: 0.00479411
iter =  12, Function value 1.50567, Residual: 0.00348973
iter =  13, Function value 1.50567, Residual: 0.00513368
iter =  14, Function value 1.50566, Residual: 0.00110589
iter =  15, Function value 1.50566, Residual: 0.000705631
iter =  16, Function value 1.50566, Residual: 0.000326351
iter =  17, Function value 1.50566, Residual: 0.000313038
iter =  18, Function value 1.50566, Residual: 0.000144096
iter =  19, Function value 1.50566, Residual: 8.16242e-05
Tao Object: 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
    Mat Object: (tao_bncg_) 1 MPI process
      type: lmvmdiagbroyden
      rows=48, cols=48
        Max. storage: 1
        Used storage: 1
        Number of updates: 18
        Number of rejects: 0
        Number of resets: 1
        J0:
          Mat Object: (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: 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=0.0001,   grtol=1e-08,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=8.16242e-05
  Objective value=1.50566
  total number of iterations=19,                          (max: 2000)
  total number of function/gradient evaluations=25,      (max: 4000)
  Solution converged:    ||g(X)|| <= gatol