Output from RUN_SOLUTION_BY_DISCRETIZATION on 05/08/2012 at 12:29:43. Version for the system is: March 13, 2009 Codelist file name is: ex7_2_6G.CDL Box data file name is: ex7_2_6.DT1 Initial box: [ 1.00 , 100. ], [ 1.00 , 100. ] [ 1.00 , 100. ] 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: 5 4 12 11 Subspace variables from the Kearfott / Hongthong 2005 analysis: 2 1 3 MAX_SUBDIVISIONS: 20 Total number of sub-problems: 8000 n_intermediate_bounds: 0 working indices: 2 1 3 ------------------------------------------------ ------------------------------------------------ ------------------------------------------------ Completion of run_solution_by_discretization. Total CPU time: 41.994624999999999 MAX_SUBDIVISIONS: 20 BEST_ESTIMATE: -82.248244645490985 FEASIBILITY_VERIFICATION_SUCCEEDED: T N_FEASIBILITY_VERIFICATION_FAILED: 407 EFFECTIVE_EPSILON: 6.48500186883893713E-009 EPSILON_PHI: 42.428571428571779 LP_SOLUTION_FAILED: F Solution boxes: ------------------------------------------------ Solution box number: 1 with overall box index: 323 [ 84.5 , 85.2 ], [ 12.8 , 15.9 ] [ 1.18 , 2.52 ] LP solution: 85.2 , 15.9 , 1.00 LP solution possibly adjusted with a point optimizer: 85.2 , 12.9 , 1.74 Objective bounds over the solution box: [ -82.8 , -82.2 ] Inequality constraint bounds over the box: [ -0.585E-01, 0.00 ], [ -84.2 , -83.5 ] [ -15.5 , -14.8 ], [ -14.9 , -11.8 ] [ -87.2 , -84.1 ], [ -1.52 , -0.180 ] [ -98.8 , -97.5 ] ------------------------------------------------ Solution box number: 2 with overall box index: 324 [ 80.2 , 85.2 ], [ 15.9 , 20.8 ] [ 1.00 , 3.95 ] LP solution: 85.2 , 20.8 , 1.00 LP solution possibly adjusted with a point optimizer: 85.2 , 20.8 , 1.00 Objective bounds over the solution box: [ -83.3 , -77.8 ] Inequality constraint bounds over the box: [ -0.118 , 0.00 ], [ -84.2 , -79.2 ] [ -19.8 , -14.8 ], [ -19.8 , -14.8 ] [ -84.2 , -79.2 ], [ -2.95 , -0.380E-02 ] [ -99.0 , -96.0 ] ------------------------------------------------ Solution box number: 3 with overall box index: 325 [ 80.2 , 84.6 ], [ 20.8 , 25.8 ] [ 1.50 , 3.46 ] LP solution: 84.4 , 20.8 , 1.48 LP solution possibly adjusted with a point optimizer: 84.4 , 20.8 , 1.48 Objective bounds over the solution box: [ -82.7 , -78.3 ] Inequality constraint bounds over the box: [ -0.796E-01, 0.00 ], [ -83.6 , -79.2 ] [ -19.8 , -15.4 ], [ -24.8 , -19.8 ] [ -79.2 , -74.2 ], [ -2.46 , -0.480 ] [ -98.5 , -96.5 ] ------------------------------------------------ Solution box number: 4 with overall box index: 341 [ 85.2 , 90.1 ], [ 1.00 , 5.95 ] [ 1.00 , 3.42 ] LP solution: 90.1 , 5.95 , 1.00 LP solution possibly adjusted with a point optimizer: 90.1 , 5.95 , 1.00 Objective bounds over the solution box: [ -83.4 , -40.9 ] Inequality constraint bounds over the box: [ -0.103 , 0.00 ], [ -89.1 , -84.1 ] [ -14.9 , -9.90 ], [ -4.95 , 0.666E-15 ] [ -99.0 , -94.0 ], [ -2.45 , 0.666E-15 ] [ -99.0 , -96.6 ] ------------------------------------------------ Solution box number: 5 with overall box index: 342 [ 85.2 , 90.1 ], [ 5.95 , 10.9 ] [ 1.00 , 3.03 ] LP solution: 90.1 , 10.9 , 1.00 LP solution possibly adjusted with a point optimizer: 90.1 , 10.9 , 1.00 Objective bounds over the solution box: [ -86.4 , -78.0 ] Inequality constraint bounds over the box: [ -0.865E-01, 0.00 ], [ -89.1 , -84.1 ] [ -14.9 , -9.90 ], [ -9.90 , -4.95 ] [ -94.1 , -89.1 ], [ -2.06 , 0.666E-15 ] [ -99.0 , -96.9 ] ------------------------------------------------ Solution box number: 6 with overall box index: 343 [ 85.2 , 89.2 ], [ 10.9 , 15.9 ] [ 1.04 , 2.47 ] LP solution: 88.6 , 10.9 , 1.03 LP solution possibly adjusted with a point optimizer: 88.6 , 10.9 , 1.03 Objective bounds over the solution box: [ -85.4 , -81.3 ] Inequality constraint bounds over the box: [ -0.615E-01, 0.00 ], [ -88.2 , -84.1 ] [ -14.9 , -10.8 ], [ -14.9 , -9.90 ] [ -89.1 , -84.1 ], [ -1.47 , -0.290E-01 ] [ -99.0 , -97.5 ] ------------------------------------------------ Solution box number: 7 with overall box index: 361 [ 90.1 , 95.0 ], [ 1.00 , 5.95 ] [ 1.00 , 2.09 ] LP solution: 92.3 , 5.95 , 1.00 LP solution possibly adjusted with a point optimizer: 92.3 , 5.95 , 1.00 Objective bounds over the solution box: [ -85.4 , -43.4 ] Inequality constraint bounds over the box: [ -0.492E-01, 0.00 ], [ -94.1 , -89.1 ] [ -9.90 , -4.95 ], [ -4.95 , 0.666E-15 ] [ -99.0 , -94.0 ], [ -1.09 , 0.666E-15 ] [ -99.0 , -97.9 ] ------------------------------------------------ No. dense interval residual evaluations -- gradient code list: 2981 Number of orig. system inverse midpoint preconditioner rows: 132 Number of solutions for a component in the expanded system: 711047 Total number of forward_substitutions: 5821 Number of Gauss--Seidel steps on the dense system: 132 Number point dense residual evaluations, gradient codelist: 32212 Total number dense interval constraint evaluations: 43631 Total number dense interval constraint gradient component evaluations: 5544 Total number dense point constraint gradient component evaluations: 736869 Total time spent in subsit (constraint propagation): 0.580 FUNCTION_EVALUATION_TIME (in forward_substitution): 0.280E-01 Number of times SUBSIT decreased one or more coordinate widths: 2995 Number of times SUBSIT rejected a box: 5019