Output from RUN_SOLUTION_BY_DISCRETIZATION on 05/08/2012 at 14:04:10. Version for the system is: March 13, 2009 Codelist file name is: ex3_1_2G.CDL Box data file name is: ex3_1_2.DT1 Initial box: [ 78.0 , 102. ], [ 27.0 , 45.0 ] [ 27.0 , 45.0 ], [ 33.0 , 45.0 ] [ 27.0 , 45.0 ] 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: 7 6 15 14 13 26 38 37 Subspace variables from the Kearfott / Hongthong 2005 analysis: 2 3 5 4 MAX_SUBDIVISIONS: 20 Total number of sub-problems: 160000 n_intermediate_bounds: 0 working indices: 2 3 5 4 ------------------------------------------------ ------------------------------------------------ ------------------------------------------------ Completion of run_solution_by_discretization. Total CPU time: 1481.4085820000000 MAX_SUBDIVISIONS: 20 BEST_ESTIMATE: -30665.535513363327 FEASIBILITY_VERIFICATION_SUCCEEDED: T N_FEASIBILITY_VERIFICATION_FAILED: 7908 EFFECTIVE_EPSILON: 3.90000053585026868E-007 EPSILON_PHI: 626.97429447305342 LP_SOLUTION_FAILED: F Solution boxes: ------------------------------------------------ Solution box number: 1 with overall box index: 7804 [ 78.0 , 81.9 ], [ 29.7 , 30.2 ] [ 36.0 , 36.9 ], [ 33.0 , 33.6 ] [ 44.1 , 45.0 ] LP solution: 78.0 , 30.0 , 36.8 , 33.0 , 45.0 LP solution possibly adjusted with a point optimizer: 78.0 , 30.0 , 36.8 , 33.0 , 45.0 Objective bounds over the solution box: [ -0.307E+05, -0.307E+05 ] Inequality constraint bounds over the box: [ -0.211 , 0.00 ], [ -92.2 , -91.8 ] [ -11.4 , -10.5 ], [ -9.47 , -8.62 ] [ -5.16 , -4.68 ], [ -0.221 , 0.00 ] [ -3.89 , 0.426E-13 ], [ -24.0 , -20.1 ] [ -3.15 , -2.70 ], [ -15.3 , -14.8 ] [ -9.90 , -9.00 ], [ -9.00 , -8.10 ] [ -0.600 , 0.213E-13 ], [ -12.0 , -11.4 ] [ -18.0 , -17.1 ], [ -0.900 , 0.213E-13 ] ------------------------------------------------ Solution box number: 2 with overall box index: 20644 [ 78.0 , 82.3 ], [ 29.7 , 30.6 ] [ 37.8 , 38.3 ], [ 34.2 , 34.7 ] [ 36.9 , 37.8 ] LP solution: 80.2 , 30.1 , 38.1 , 34.4 , 37.3 LP solution possibly adjusted with a point optimizer: 80.2 , 30.1 , 38.1 , 34.4 , 37.3 Objective bounds over the solution box: [ -0.307E+05, -0.301E+05 ] Inequality constraint bounds over the box: [ -0.987E-01, 0.00 ], [ -92.2 , -91.9 ] [ -10.4 , -9.56 ], [ -10.4 , -9.65 ] [ -5.20 , -4.72 ], [ -0.180 , 0.00 ] [ -4.27 , 0.426E-13 ], [ -24.0 , -19.7 ] [ -3.60 , -2.70 ], [ -15.3 , -14.4 ] [ -11.3 , -10.8 ], [ -7.20 , -6.69 ] [ -1.66 , -1.20 ], [ -10.8 , -10.3 ] [ -10.8 , -9.90 ], [ -8.10 , -7.20 ] ------------------------------------------------ Solution box number: 3 with overall box index: 21824 [ 78.0 , 80.9 ], [ 29.8 , 30.6 ] [ 36.9 , 37.3 ], [ 34.2 , 34.5 ] [ 39.6 , 40.5 ] LP solution: 79.5 , 30.2 , 37.1 , 34.4 , 40.0 LP solution possibly adjusted with a point optimizer: 79.5 , 30.2 , 37.1 , 34.4 , 40.0 Objective bounds over the solution box: [ -0.307E+05, -0.302E+05 ] Inequality constraint bounds over the box: [ -0.721E-01, 0.00 ], [ -92.1 , -91.9 ] [ -10.6 , -9.98 ], [ -10.0 , -9.44 ] [ -5.15 , -4.76 ], [ -0.136 , 0.00 ] [ -2.91 , 0.426E-13 ], [ -24.0 , -21.1 ] [ -3.60 , -2.82 ], [ -15.2 , -14.4 ] [ -10.3 , -9.90 ], [ -8.10 , -7.73 ] [ -1.54 , -1.20 ], [ -10.8 , -10.5 ] [ -13.5 , -12.6 ], [ -5.40 , -4.50 ] ------------------------------------------------ Solution box number: 4 with overall box index: 23004 [ 78.0 , 79.7 ], [ 30.1 , 30.6 ] [ 36.0 , 36.2 ], [ 34.2 , 34.4 ] [ 42.3 , 43.2 ] LP solution: 78.8 , 30.3 , 36.1 , 34.3 , 42.8 LP solution possibly adjusted with a point optimizer: 78.8 , 30.3 , 36.1 , 34.3 , 42.8 Objective bounds over the solution box: [ -0.307E+05, -0.304E+05 ] Inequality constraint bounds over the box: [ -0.443E-01, 0.00 ], [ -92.1 , -92.0 ] [ -10.7 , -10.4 ], [ -9.60 , -9.25 ] [ -5.09 , -4.80 ], [ -0.960E-01, 0.00 ] [ -1.67 , 0.426E-13 ], [ -24.0 , -22.3 ] [ -3.60 , -3.05 ], [ -14.9 , -14.4 ] [ -9.23 , -9.00 ], [ -9.00 , -8.77 ] [ -1.42 , -1.20 ], [ -10.8 , -10.6 ] [ -16.2 , -15.3 ], [ -2.70 , -1.80 ] ------------------------------------------------ Solution box number: 5 with overall box index: 23784 [ 78.0 , 81.1 ], [ 29.7 , 30.6 ] [ 35.1 , 35.5 ], [ 34.2 , 34.6 ] [ 44.1 , 45.0 ] LP solution: 79.5 , 30.1 , 35.3 , 34.4 , 44.5 LP solution possibly adjusted with a point optimizer: 79.5 , 30.1 , 35.3 , 34.4 , 44.5 Objective bounds over the solution box: [ -0.309E+05, -0.303E+05 ] Inequality constraint bounds over the box: [ -0.853E-01, 0.00 ], [ -92.2 , -91.9 ] [ -11.0 , -10.4 ], [ -9.63 , -8.99 ] [ -5.18 , -4.74 ], [ -0.156 , 0.00 ] [ -3.09 , 0.426E-13 ], [ -24.0 , -20.9 ] [ -3.60 , -2.70 ], [ -15.3 , -14.4 ] [ -8.54 , -8.10 ], [ -9.90 , -9.46 ] [ -1.63 , -1.20 ], [ -10.8 , -10.4 ] [ -18.0 , -17.1 ], [ -0.900 , 0.213E-13 ] ------------------------------------------------ Solution box number: 6 with overall box index: 47345 [ 78.0 , 81.0 ], [ 30.6 , 31.5 ] [ 33.3 , 33.7 ], [ 36.0 , 36.4 ] [ 43.2 , 44.1 ] LP solution: 79.5 , 31.1 , 33.5 , 36.2 , 43.7 LP solution possibly adjusted with a point optimizer: 79.5 , 31.1 , 33.5 , 36.2 , 43.7 Objective bounds over the solution box: [ -0.307E+05, -0.302E+05 ] Inequality constraint bounds over the box: [ -0.811E-01, 0.00 ], [ -92.1 , -91.9 ] [ -10.5 , -9.83 ], [ -10.2 , -9.52 ] [ -5.17 , -4.76 ], [ -0.145 , 0.00 ] [ -3.00 , 0.426E-13 ], [ -24.0 , -21.0 ] [ -4.50 , -3.60 ], [ -14.4 , -13.5 ] [ -6.70 , -6.30 ], [ -11.7 , -11.3 ] [ -3.43 , -3.00 ], [ -9.00 , -8.57 ] [ -17.1 , -16.2 ], [ -1.80 , -0.900 ] ------------------------------------------------ No. dense interval residual evaluations -- gradient code list: 68080 Number of orig. system inverse midpoint preconditioner rows: 73801 Number of solutions for a component in the expanded system: 47664066 Total number of forward_substitutions: 257684 Number of Gauss--Seidel steps on the dense system: 73620 Number point dense residual evaluations, gradient codelist: 1093863 Total number dense interval constraint evaluations: 4252128 Total number dense interval constraint gradient component evaluations: 10380240 Total number dense point constraint gradient component evaluations: 82541840 N_C_LP_INFEASIBLE = 162 Total time spent in subsit (constraint propagation): 20.2 Total time spent searching for "D" in the LP filter: 63.2 FUNCTION_EVALUATION_TIME (in forward_substitution): 2.80 Number of times SUBSIT decreased one or more coordinate widths: 68092 Number of times SUBSIT rejected a box: 91920