Output from RUN_SOLUTION_BY_DISCRETIZATION on  05/08/2012  at  12:24:26.
 Version for the system is: March 13, 2009

 Codelist file name is: ex4_1_8G.CDL
 Box data file name is: ex4_1_8.DT1                   


 Initial box:
[    0.00    ,    2.00     ], [    0.00    ,    3.00     ]


 Printing in overall algorithm:           0
 Printing in LP:           0
 EPS_LP_FIT:  1.00000000000000002E-002

 ALLOW_EPSILON_APPROXIMATE: F
 USES_INTERMEDIATE_VARIABLES: F
 ------------------------------------------------



 Independent minimal complete set indices:
          8

 Subspace variables from the Kearfott / Hongthong 2005 analysis:
          1
 MAX_SUBDIVISIONS:          20
 Total number of sub-problems:          20
 n_intermediate_bounds:           0
 working indices:
          1

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 Completion of run_solution_by_discretization.
 Total CPU time:  0.18401099999999998     
 MAX_SUBDIVISIONS:          20
 BEST_ESTIMATE:  -16.738893051345784     
 FEASIBILITY_VERIFICATION_SUCCEEDED: T
 N_FEASIBILITY_VERIFICATION_FAILED:           0
 EFFECTIVE_EPSILON:  2.21263887212330767E-008
 EPSILON_PHI:  1.39239967542508260E-002
 LP_SOLUTION_FAILED: F
 Solution boxes:
 ------------------------------------------------
 Solution box number:            1
 with overall box index:            8
[   0.700    ,   0.763     ], [    1.33    ,    1.52     ]

 LP solution:
  0.725    ,    1.45    

 LP solution possibly adjusted with a point optimizer:
  0.718    ,    1.47    

 Objective bounds over the solution box:
[   -16.8    ,   -16.7     ]
 Equality constraint bounds over the box:
[    0.00    ,    0.00     ]

 Inequality constraint bounds over the box:
[  -0.763    ,  -0.700     ], [   -1.30    ,   -1.24     ]
[   -1.52    ,   -1.32     ], [   -1.68    ,   -1.48     ]


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 No. dense interval residual evaluations -- gradient code list:           11
 Number of orig. system inverse midpoint preconditioner rows:           12
 Number of solutions for a component in the expanded system:         1184
 Total number of forward_substitutions:           46
 Number of Gauss--Seidel steps on the dense system:           12
 Number point dense residual evaluations, gradient codelist:          183
 Total number dense interval constraint evaluations:          185
 Total number dense interval constraint gradient component
       evaluations:           50
 Total number dense point constraint gradient component
       evaluations:         1650
 Number of times SUBSIT decreased one or more 
       coordinate widths:           13
 Number of times SUBSIT rejected a box:            9