Running command: translateModel(ModelicaTest.Fluid.Dissipation.Verifications.HeatTransfer.StraightPipe.kc_overall_KC,tolerance=1e-05,outputFormat="mat",numberOfIntervals=5000,variableFilter="time|cp.1.|cp.2.|cp.3.|eta.1.|eta.2.|eta.3.|lambda.1.|lambda.2.|lambda.3.|rho.1.|rho.2.|rho.3.|Nu.1.|Nu.2.|Nu.3.|m_flow_1.1.|m_flow_1.2.|m_flow_1.3.|m_flow_2.1.|m_flow_2.2.|m_flow_2.3.|m_flow_3.1.|m_flow_3.2.|m_flow_3.3.|m_flow_4.1.|m_flow_4.2.|m_flow_4.3.|kc_1.1.|kc_1.2.|kc_1.3.|kc_2.1.|kc_2.2.|kc_2.3.|kc_3.1.|kc_3.2.|kc_3.3.|kc_4.1.|kc_4.2.|kc_4.3.|Re_1.1.|Re_1.2.|Re_1.3.|Re_2.1.|Re_2.2.|Re_2.3.|Re_3.1.|Re_3.2.|Re_3.3.|Re_4.1.|Re_4.2.|Re_4.3.|input_Nu.y",fileNamePrefix="ModelicaTest_3.2.2_ModelicaTest.Fluid.Dissipation.Verifications.HeatTransfer.StraightPipe.kc_overall_KC") Notification: Performance of loadModel(ModelicaTest): time 2.677/2.677, allocations: 234.9 MB / 249.4 MB, free: 10.99 MB / 202.7 MB Notification: Performance of FrontEnd - loaded program: time 4.37e-05/4.4e-05, allocations: 3.984 kB / 308 MB, free: 292 kB / 250.7 MB Notification: Performance of FrontEnd - Absyn->SCode: time 0.4233/0.4234, allocations: 54.86 MB / 362.9 MB, free: 11.85 MB / 298.7 MB Notification: Performance of NFInst.instantiate(ModelicaTest.Fluid.Dissipation.Verifications.HeatTransfer.StraightPipe.kc_overall_KC): time 0.003154/0.4266, allocations: 1.743 MB / 364.6 MB, free: 10.08 MB / 298.7 MB Notification: Performance of NFInst.instExpressions: time 0.003489/0.4301, allocations: 1.506 MB / 366.2 MB, free: 8.57 MB / 298.7 MB Notification: Performance of NFInst.updateImplicitVariability: time 0.0002053/0.4304, allocations: 0 / 366.2 MB, free: 8.57 MB / 298.7 MB Notification: Performance of NFTyping.typeComponents: time 0.000275/0.4307, allocations: 55.7 kB / 366.2 MB, free: 8.516 MB / 298.7 MB Notification: Performance of NFTyping.typeBindings: time 0.0004174/0.4311, allocations: 87.75 kB / 366.3 MB, free: 8.43 MB / 298.7 MB Notification: Performance of NFTyping.typeClassSections: time 0.0008979/0.432, allocations: 207.1 kB / 366.5 MB, free: 8.227 MB / 298.7 MB Notification: Performance of NFFlatten.flatten: time 0.0004488/0.4325, allocations: 215.5 kB / 366.7 MB, free: 8.016 MB / 298.7 MB Notification: Performance of NFFlatten.resolveConnections: time 5.19e-05/0.4325, allocations: 4 kB / 366.7 MB, free: 8.012 MB / 298.7 MB Notification: Performance of NFEvalConstants.evaluate: time 0.0002637/0.4328, allocations: 127.5 kB / 366.8 MB, free: 7.887 MB / 298.7 MB Notification: Performance of NFSimplifyModel.simplify: time 0.0003051/0.4331, allocations: 151.4 kB / 367 MB, free: 7.738 MB / 298.7 MB Notification: Performance of NFFlatten.collectFunctions: time 0.001484/0.4346, allocations: 0.5851 MB / 367.6 MB, free: 7.152 MB / 298.7 MB Notification: Performance of NFPackage.collectConstants: time 0.0001312/0.4348, allocations: 31.98 kB / 367.6 MB, free: 7.121 MB / 298.7 MB Notification: Performance of NFScalarize.scalarize: time 0.0001553/0.435, allocations: 91.66 kB / 367.7 MB, free: 7.031 MB / 298.7 MB Notification: Performance of NFVerifyModel.verify: time 0.0001373/0.4351, allocations: 36 kB / 367.7 MB, free: 6.996 MB / 298.7 MB Notification: Performance of NFConvertDAE.convert: time 0.000963/0.4361, allocations: 478.9 kB / 368.2 MB, free: 6.527 MB / 298.7 MB Notification: Performance of FrontEnd - DAE generated: time 6.482e-06/0.4361, allocations: 0 / 368.2 MB, free: 6.527 MB / 298.7 MB Notification: Performance of FrontEnd: time 2.535e-06/0.4361, allocations: 3.938 kB / 368.2 MB, free: 6.523 MB / 298.7 MB Notification: Performance of Transformations before backend: time 4.991e-05/0.4362, allocations: 0 / 368.2 MB, free: 6.523 MB / 298.7 MB Notification: Model statistics after passing the front-end and creating the data structures used by the back-end: * Number of equations: 160 * Number of variables: 160 Notification: Performance of Generate backend data structure: time 0.001693/0.4379, allocations: 0.706 MB / 368.9 MB, free: 5.766 MB / 298.7 MB Notification: Performance of prepare preOptimizeDAE: time 5.716e-05/0.438, allocations: 8.031 kB / 368.9 MB, free: 5.758 MB / 298.7 MB Notification: Performance of preOpt normalInlineFunction (simulation): time 0.0001614/0.4381, allocations: 59.25 kB / 369 MB, free: 5.699 MB / 298.7 MB Notification: Performance of preOpt evaluateParameters (simulation): time 0.000602/0.4388, allocations: 311.5 kB / 369.3 MB, free: 5.355 MB / 298.7 MB Notification: Performance of preOpt simplifyIfEquations (simulation): time 4.914e-05/0.4388, allocations: 37.3 kB / 369.3 MB, free: 5.32 MB / 298.7 MB Notification: Performance of preOpt expandDerOperator (simulation): time 0.0001291/0.439, allocations: 48 kB / 369.4 MB, free: 5.273 MB / 298.7 MB Notification: Performance of preOpt clockPartitioning (simulation): time 0.001923/0.4409, allocations: 0.7637 MB / 370.1 MB, free: 4.504 MB / 298.7 MB Notification: Performance of preOpt findStateOrder (simulation): time 2.645e-05/0.441, allocations: 3.953 kB / 370.1 MB, free: 4.5 MB / 298.7 MB Notification: Performance of preOpt replaceEdgeChange (simulation): time 7.7e-05/0.441, allocations: 20 kB / 370.1 MB, free: 4.48 MB / 298.7 MB Notification: Performance of preOpt inlineArrayEqn (simulation): time 0.000116/0.4412, allocations: 61.2 kB / 370.2 MB, free: 4.422 MB / 298.7 MB Notification: Performance of preOpt removeEqualRHS (simulation): time 0.002194/0.4434, allocations: 0.8014 MB / 371 MB, free: 3.617 MB / 298.7 MB Notification: Performance of preOpt removeSimpleEquations (simulation): time 0.004098/0.4475, allocations: 1.532 MB / 372.5 MB, free: 2.031 MB / 298.7 MB Notification: Performance of preOpt comSubExp (simulation): time 0.001487/0.4491, allocations: 472.3 kB / 373 MB, free: 1.562 MB / 298.7 MB Notification: Performance of preOpt evalFunc (simulation): time 6.397e-05/0.4492, allocations: 12.22 kB / 373 MB, free: 1.551 MB / 298.7 MB Notification: Performance of preOpt encapsulateWhenConditions (simulation): time 3.62e-05/0.4492, allocations: 34.8 kB / 373 MB, free: 1.508 MB / 298.7 MB Notification: Performance of pre-optimization done (n=28): time 2.976e-06/0.4492, allocations: 0 / 373 MB, free: 1.508 MB / 298.7 MB Notification: Performance of matching and sorting (n=28): time 0.001994/0.4512, allocations: 0.5523 MB / 373.6 MB, free: 0.9492 MB / 298.7 MB Notification: Performance of inlineWhenForInitialization (initialization): time 5.156e-05/0.4513, allocations: 59.41 kB / 373.6 MB, free: 0.8789 MB / 298.7 MB Notification: Performance of selectInitializationVariablesDAE (initialization): time 0.001015/0.4523, allocations: 0.5202 MB / 374.2 MB, free: 360 kB / 298.7 MB Notification: Performance of collectPreVariables (initialization): time 5.877e-05/0.4524, allocations: 33.64 kB / 374.2 MB, free: 320 kB / 298.7 MB Notification: Performance of collectInitialEqns (initialization): time 0.0002795/0.4527, allocations: 287.4 kB / 374.5 MB, free: 28 kB / 298.7 MB Notification: Performance of collectInitialBindings (initialization): time 0.0001562/0.4529, allocations: 94.83 kB / 374.6 MB, free: 15.93 MB / 314.7 MB Notification: Performance of simplifyInitialFunctions (initialization): time 4.464e-05/0.4529, allocations: 8 kB / 374.6 MB, free: 15.92 MB / 314.7 MB Notification: Performance of setup shared object (initialization): time 0.0001965/0.4531, allocations: 362.8 kB / 374.9 MB, free: 15.56 MB / 314.7 MB Notification: Performance of preBalanceInitialSystem (initialization): time 0.0006563/0.4538, allocations: 192.9 kB / 375.1 MB, free: 15.37 MB / 314.7 MB Notification: Performance of partitionIndependentBlocks (initialization): time 0.000853/0.4547, allocations: 433.1 kB / 375.5 MB, free: 14.84 MB / 314.7 MB Notification: Performance of analyzeInitialSystem (initialization): time 0.0008057/0.4555, allocations: 263.7 kB / 375.8 MB, free: 14.58 MB / 314.7 MB Notification: Performance of solveInitialSystemEqSystem (initialization): time 1.037e-05/0.4555, allocations: 4 kB / 375.8 MB, free: 14.58 MB / 314.7 MB Notification: Performance of matching and sorting (n=64) (initialization): time 0.002069/0.4576, allocations: 0.693 MB / 376.5 MB, free: 13.88 MB / 314.7 MB Notification: Performance of prepare postOptimizeDAE: time 2.914e-05/0.4577, allocations: 8 kB / 376.5 MB, free: 13.88 MB / 314.7 MB Notification: Performance of postOpt simplifyComplexFunction (initialization): time 1.679e-05/0.4577, allocations: 8 kB / 376.5 MB, free: 13.87 MB / 314.7 MB Notification: Performance of postOpt tearingSystem (initialization): time 3.509e-05/0.4577, allocations: 16.06 kB / 376.5 MB, free: 13.85 MB / 314.7 MB Notification: Performance of postOpt solveSimpleEquations (initialization): time 0.001998/0.4597, allocations: 243.7 kB / 376.8 MB, free: 13.61 MB / 314.7 MB Notification: Performance of postOpt calculateStrongComponentJacobians (initialization): time 0.005068/0.4648, allocations: 7.31 MB / 384.1 MB, free: 6.023 MB / 314.7 MB Notification: Performance of postOpt simplifyAllExpressions (initialization): time 0.0007841/0.4657, allocations: 95.06 kB / 384.2 MB, free: 5.93 MB / 314.7 MB Notification: Performance of postOpt collapseArrayExpressions (initialization): time 8.344e-05/0.4658, allocations: 31.98 kB / 384.2 MB, free: 5.898 MB / 314.7 MB Notification: Model statistics after passing the back-end for initialization: * Number of independent subsystems: 37 * Number of states: 0 () * Number of discrete variables: 24 (m_flow_IN_con_4[3].roughness,m_flow_IN_con_4[3].target,m_flow_IN_con_4[2].roughness,m_flow_IN_con_4[2].target,m_flow_IN_con_4[1].roughness,m_flow_IN_con_4[1].target,m_flow_IN_con_3[3].roughness,m_flow_IN_con_3[3].target,m_flow_IN_con_3[2].roughness,m_flow_IN_con_3[2].target,m_flow_IN_con_3[1].roughness,m_flow_IN_con_3[1].target,m_flow_IN_con_2[3].roughness,m_flow_IN_con_2[3].target,m_flow_IN_con_2[2].roughness,m_flow_IN_con_2[2].target,m_flow_IN_con_2[1].roughness,m_flow_IN_con_2[1].target,m_flow_IN_con_1[3].roughness,m_flow_IN_con_1[3].target,m_flow_IN_con_1[2].roughness,m_flow_IN_con_1[2].target,m_flow_IN_con_1[1].roughness,m_flow_IN_con_1[1].target) * Number of discrete states: 0 () * Top-level inputs: 0 Notification: Strong component statistics for initialization (64): * Single equations (assignments): 52 * Array equations: 0 * Algorithm blocks: 0 * Record equations: 0 * When equations: 0 * If-equations: 0 * Equation systems (linear and non-linear blocks): 12 * Torn equation systems: 0 * Mixed (continuous/discrete) equation systems: 0 Notification: Equation system details: * Constant Jacobian: 0 * Linear Jacobian (size,density): 0 * Non-linear Jacobian: 12 {1,1,1,1,1,1,1,1,1,1,1,1} * Without analytic Jacobian: 0 Notification: Performance of prepare postOptimizeDAE: time 0.0004845/0.4663, allocations: 269.4 kB / 384.5 MB, free: 5.625 MB / 314.7 MB Notification: Performance of postOpt lateInlineFunction (simulation): time 0.0001242/0.4664, allocations: 47.44 kB / 384.5 MB, free: 5.578 MB / 314.7 MB Notification: Performance of postOpt wrapFunctionCalls (simulation): time 0.002064/0.4685, allocations: 0.5758 MB / 385.1 MB, free: 4.984 MB / 314.7 MB Notification: Performance of postOpt inlineArrayEqn (simulation): time 1.836e-05/0.4685, allocations: 4 kB / 385.1 MB, free: 4.98 MB / 314.7 MB Notification: Performance of postOpt constantLinearSystem (simulation): time 1.073e-05/0.4685, allocations: 4.094 kB / 385.1 MB, free: 4.977 MB / 314.7 MB Notification: Performance of postOpt simplifysemiLinear (simulation): time 6.994e-06/0.4686, allocations: 3.938 kB / 385.1 MB, free: 4.973 MB / 314.7 MB Notification: Performance of postOpt removeSimpleEquations (simulation): time 0.0009681/0.4695, allocations: 437.2 kB / 385.5 MB, free: 4.496 MB / 314.7 MB Notification: Performance of postOpt simplifyComplexFunction (simulation): time 6.573e-06/0.4696, allocations: 3.953 kB / 385.5 MB, free: 4.492 MB / 314.7 MB Notification: Performance of postOpt solveSimpleEquations (simulation): time 0.001815/0.4714, allocations: 199.8 kB / 385.7 MB, free: 4.297 MB / 314.7 MB Notification: Performance of postOpt tearingSystem (simulation): time 1.781e-05/0.4714, allocations: 4 kB / 385.7 MB, free: 4.293 MB / 314.7 MB Notification: Performance of postOpt inputDerivativesUsed (simulation): time 5.149e-05/0.4715, allocations: 11.98 kB / 385.7 MB, free: 4.281 MB / 314.7 MB Notification: Performance of postOpt calculateStrongComponentJacobians (simulation): time 0.00554/0.477, allocations: 7.306 MB / 393 MB, free: 12.7 MB / 330.7 MB Notification: Performance of postOpt calculateStateSetsJacobians (simulation): time 3.547e-06/0.4771, allocations: 0 / 393 MB, free: 12.7 MB / 330.7 MB Notification: Performance of postOpt symbolicJacobian (simulation): time 0.001474/0.4786, allocations: 0.519 MB / 393.6 MB, free: 12.16 MB / 330.7 MB Notification: Performance of postOpt removeConstants (simulation): time 0.0002032/0.4788, allocations: 124.5 kB / 393.7 MB, free: 12.02 MB / 330.7 MB Notification: Performance of postOpt simplifyTimeIndepFuncCalls (simulation): time 0.0001502/0.479, allocations: 8 kB / 393.7 MB, free: 12.01 MB / 330.7 MB Notification: Performance of postOpt simplifyAllExpressions (simulation): time 0.0004486/0.4794, allocations: 15.98 kB / 393.7 MB, free: 12 MB / 330.7 MB Notification: Performance of postOpt findZeroCrossings (simulation): time 0.0001228/0.4796, allocations: 19.97 kB / 393.7 MB, free: 11.98 MB / 330.7 MB Notification: Performance of postOpt collapseArrayExpressions (simulation): time 6.435e-05/0.4797, allocations: 19.98 kB / 393.8 MB, free: 11.96 MB / 330.7 MB Notification: Performance of sorting global known variables: time 0.0008091/0.4805, allocations: 402.8 kB / 394.1 MB, free: 11.57 MB / 330.7 MB Notification: Performance of sort global known variables: time 3.91e-07/0.4805, allocations: 0 / 394.1 MB, free: 11.57 MB / 330.7 MB Notification: Performance of remove unused functions: time 0.001014/0.4815, allocations: 183.8 kB / 394.3 MB, free: 11.39 MB / 330.7 MB Notification: Model statistics after passing the back-end for simulation: * Number of independent subsystems: 1 * Number of states: 0 () * Number of discrete variables: 0 () * Number of discrete states: 0 () * Top-level inputs: 0 Notification: Strong component statistics for simulation (28): * Single equations (assignments): 16 * Array equations: 0 * Algorithm blocks: 0 * Record equations: 0 * When equations: 0 * If-equations: 0 * Equation systems (linear and non-linear blocks): 12 * Torn equation systems: 0 * Mixed (continuous/discrete) equation systems: 0 Notification: Equation system details: * Constant Jacobian: 0 * Linear Jacobian (size,density): 0 * Non-linear Jacobian: 12 {1,1,1,1,1,1,1,1,1,1,1,1} * Without analytic Jacobian: 0 Notification: Performance of Backend phase and start with SimCode phase: time 0.0006069/0.4821, allocations: 218 kB / 394.5 MB, free: 11.17 MB / 330.7 MB Notification: Performance of simCode: created initialization part: time 0.00288/0.485, allocations: 0.5879 MB / 395.1 MB, free: 10.58 MB / 330.7 MB Notification: Performance of simCode: created event and clocks part: time 5.17e-06/0.4851, allocations: 3.938 kB / 395.1 MB, free: 10.58 MB / 330.7 MB Notification: Performance of simCode: created simulation system equations: time 0.001851/0.487, allocations: 303.7 kB / 395.4 MB, free: 10.28 MB / 330.7 MB Notification: Performance of simCode: created of all other equations (e.g. parameter, nominal, assert, etc): time 0.0008819/0.4879, allocations: 115.3 kB / 395.5 MB, free: 10.16 MB / 330.7 MB Notification: Performance of simCode: created linear, non-linear and system jacobian parts: time 0.003096/0.491, allocations: 1.096 MB / 396.6 MB, free: 9.043 MB / 330.7 MB Notification: Performance of simCode: some other stuff during SimCode phase: time 0.0007616/0.4918, allocations: 0.9248 MB / 397.6 MB, free: 8.09 MB / 330.7 MB Notification: Performance of simCode: alias equations: time 0.0008946/0.4927, allocations: 164.5 kB / 397.7 MB, free: 7.93 MB / 330.7 MB Notification: Performance of simCode: all other stuff during SimCode phase: time 0.0001748/0.4929, allocations: 39.42 kB / 397.8 MB, free: 7.891 MB / 330.7 MB Notification: Performance of SimCode: time 2.294e-06/0.4929, allocations: 0 / 397.8 MB, free: 7.891 MB / 330.7 MB Notification: Performance of Templates: time 0.02804/0.521, allocations: 9.623 MB / 407.4 MB, free: 14.32 MB / 346.7 MB "" Variables in the reference:time,cp[1],cp[2],cp[3],eta[1],eta[2],eta[3],lambda[1],lambda[2],lambda[3],rho[1],rho[2],rho[3],Nu[1],Nu[2],Nu[3],m_flow_1[1],m_flow_1[2],m_flow_1[3],m_flow_2[1],m_flow_2[2],m_flow_2[3],m_flow_3[1],m_flow_3[2],m_flow_3[3],m_flow_4[1],m_flow_4[2],m_flow_4[3],kc_1[1],kc_1[2],kc_1[3],kc_2[1],kc_2[2],kc_2[3],kc_3[1],kc_3[2],kc_3[3],kc_4[1],kc_4[2],kc_4[3],Re_1[1],Re_1[2],Re_1[3],Re_2[1],Re_2[2],Re_2[3],Re_3[1],Re_3[2],Re_3[3],Re_4[1],Re_4[2],Re_4[3],input_Nu.y Variables in the result:L,Nu[1],Nu[2],Nu[3],Re_1[1],Re_1[2],Re_1[3],Re_2[1],Re_2[2],Re_2[3],Re_3[1],Re_3[2],Re_3[3],Re_4[1],Re_4[2],Re_4[3],cp[1],cp[2],cp[3],d_hyd,eta[1],eta[2],eta[3],input_Nu.duration,input_Nu.height,input_Nu.offset,input_Nu.startTime,input_Nu.y,kc_1[1],kc_1[2],kc_1[3],kc_2[1],kc_2[2],kc_2[3],kc_3[1],kc_3[2],kc_3[3],kc_4[1],kc_4[2],kc_4[3],lambda[1],lambda[2],lambda[3],m_flow_1[1],m_flow_1[2],m_flow_1[3],m_flow_2[1],m_flow_2[2],m_flow_2[3],m_flow_3[1],m_flow_3[2],m_flow_3[3],m_flow_4[1],m_flow_4[2],m_flow_4[3],m_flow_IN_con_1[1].L,m_flow_IN_con_1[1].d_hyd,m_flow_IN_con_1[2].L,m_flow_IN_con_1[2].d_hyd,m_flow_IN_con_1[3].L,m_flow_IN_con_1[3].d_hyd,m_flow_IN_con_2[1].L,m_flow_IN_con_2[1].d_hyd,m_flow_IN_con_2[2].L,m_flow_IN_con_2[2].d_hyd,m_flow_IN_con_2[3].L,m_flow_IN_con_2[3].d_hyd,m_flow_IN_con_3[1].L,m_flow_IN_con_3[1].d_hyd,m_flow_IN_con_3[2].L,m_flow_IN_con_3[2].d_hyd,m_flow_IN_con_3[3].L,m_flow_IN_con_3[3].d_hyd,m_flow_IN_con_4[1].L,m_flow_IN_con_4[1].d_hyd,m_flow_IN_con_4[2].L,m_flow_IN_con_4[2].d_hyd,m_flow_IN_con_4[3].L,m_flow_IN_con_4[3].d_hyd,m_flow_IN_var_1[1].cp,m_flow_IN_var_1[1].eta,m_flow_IN_var_1[1].lambda,m_flow_IN_var_1[1].rho,m_flow_IN_var_1[2].cp,m_flow_IN_var_1[2].eta,m_flow_IN_var_1[2].lambda,m_flow_IN_var_1[2].rho,m_flow_IN_var_1[3].cp,m_flow_IN_var_1[3].eta,m_flow_IN_var_1[3].lambda,m_flow_IN_var_1[3].rho,m_flow_IN_var_2[1].cp,m_flow_IN_var_2[1].eta,m_flow_IN_var_2[1].lambda,m_flow_IN_var_2[1].rho,m_flow_IN_var_2[2].cp,m_flow_IN_var_2[2].eta,m_flow_IN_var_2[2].lambda,m_flow_IN_var_2[2].rho,m_flow_IN_var_2[3].cp,m_flow_IN_var_2[3].eta,m_flow_IN_var_2[3].lambda,m_flow_IN_var_2[3].rho,m_flow_IN_var_3[1].cp,m_flow_IN_var_3[1].eta,m_flow_IN_var_3[1].lambda,m_flow_IN_var_3[1].rho,m_flow_IN_var_3[2].cp,m_flow_IN_var_3[2].eta,m_flow_IN_var_3[2].lambda,m_flow_IN_var_3[2].rho,m_flow_IN_var_3[3].cp,m_flow_IN_var_3[3].eta,m_flow_IN_var_3[3].lambda,m_flow_IN_var_3[3].rho,m_flow_IN_var_4[1].cp,m_flow_IN_var_4[1].eta,m_flow_IN_var_4[1].lambda,m_flow_IN_var_4[1].rho,m_flow_IN_var_4[2].cp,m_flow_IN_var_4[2].eta,m_flow_IN_var_4[2].lambda,m_flow_IN_var_4[2].rho,m_flow_IN_var_4[3].cp,m_flow_IN_var_4[3].eta,m_flow_IN_var_4[3].lambda,m_flow_IN_var_4[3].rho,n,rho[1],rho[2],rho[3],time