Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190827153859)
Standard Output
Mission ======= Cost ---- W_{f_{total}}[:].sum() Constraints ----------- W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin} PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:]) x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:]) x_{CG}[3] <= \Delta x_n + x_n \Delta x_m + x_{CG}[3] >= x_m \tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m C_{D_{fuse}}[:] = 0.018081 M_{fuseD} = 0.72 W_{start}[0] = W_{total}[:] W_{start}[:] >= W_{end}[:] + W_{burn}[:] W_{start}[1:] = W_{end}[:4] W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1] W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2] W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1] hft[2] >= CruiseAlt hft[1:5] = hft[:4] + dhft[1:5] hft[0] = dhft[0] dhft[1:3] = dhft[:2] RC[0] >= 2.5e+03 RC[:3] >= RC_{min}[:3] \theta[2] >= 0.015 hft[2] >= MinCruiseAlt n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:] R_{segment}[3:4] = R_{segment}[4:5] M[3:5] >= M_{min} 0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req} Fsafetyfac*F[0] = T_e W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:] V_2[:] = M_2[:]*a[:] \alpha_{max,w}[:3] = 0.18 \alpha_{max,w}[3:] = 0.1 0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime 0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime ClimbTime <= MaxClimbTime T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}} F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 OPR[:] <= OPR_{max} Aircraft Fuselage W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on} W_{pass}[:] >= n_{pass}[:]*W_{avg. pass} W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo} W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}} W_{payload}[:] <= W_{payload_{max}} n_{pass}[:] <= n_{seat} n_{rows} = n_{seat}/SPR l_{shell} = n_{rows}*p_s \theta_{db} = w_{db}/R_{fuse} R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db} A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db} (PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse} A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin} w_{floor} = w_{fuse} R_{fuse} + w_{db} >= w_{fuse} h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse} t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell} S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2 S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2 l_{fuse} = l_{nose} + l_{shell} + l_{cone} l_{cone} = R_{fuse}/\lambda_{cone} x_{shell1} = l_{nose} x_{shell2} >= l_{nose} + l_{shell} t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin} t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin} \sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell}) \sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin} l_{floor} >= l_{shell} + 2*R_{fuse} P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat}) A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor} V_{floor} = 2*w_{floor}*A_{floor} W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor} \tau_{cone} = \sigma_{skin} W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame}) x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone} -2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}} (PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}} x_{hbend_{Land}} >= x_{wing} x_{hbend_{Land}} <= l_{fuse} x_{hbend_{MLF}} >= x_{wing} x_{hbend_{MLF}} <= l_{fuse} A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}}) A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}}) A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2) A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}} A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}} A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}} A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}} A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}} A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}} V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}} W_{hbend} >= g*\rho_{bend}*V_{hbend} x_{vbend} >= x_{wing} x_{vbend} <= l_{fuse} B_{0v} = B_{1v}*(x_{tail} - x_{vbend}) B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2) B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}} 0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}} V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c} V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}} W_{vbend} >= \rho_{bend}*g*V_{vbend} x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c} x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v} V_{cyl} = A_{skin}*l_{shell} V_{nose} = S_{nose}*t_{skin} V_{bulk} = S_{bulk}*t_{skin} V_{db} = A_{db}*l_{shell} V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse}) W_{apu} = W_{payload_{max}}*f_{apu} W_{db} = \rho_{skin}*g*V_{db} W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk}) W_{window} >= W'_{window}*l_{shell} W_{padd} = W_{payload_{max}}*f_{padd} W_{seat} >= W'_{seat}*n_{seat} W_{seat} >= f_{seat}*W_{payload_{max}} W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk}) W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db} W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone}) Wing WingNoStruct A_{rect} = c_{tip}*b 0.5*(1 - \lambda)*c_{root}*b <= A_{tri} p >= 1 + 2*\lambda 2*q >= 1 + p y_{mac} = b/3*q/p mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q \lambda = c_{tip}/c_{root} S = b*(c_{root} + c_{tip})/2 0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w) e*(1 + f(\lambda_w)*AR) <= 1 \lambda >= 0.15 V_{fuel, max} <= 0.303*mac^2*b*\tau W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g b <= b_{max} WingBox AR = b^2/S 0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5) \tau <= \tau_{max_w} W_{struct} >= W_{web} + W_{cap} AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5) Mission.Aircraft.Wing.WingBox.N_{lift} = 3 Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8 \lambda = taper W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt}) 0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}} Engine Compressor (no constraints) Combustor (no constraints) Turbine (no constraints) Thrust (no constraints) FanMap (no constraints) LPCMap (no constraints) HPCMap (no constraints) Sizing A_{2} >= A_{5} + A_{7} FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) EnginePerformance CompressorPerformance T_{t_0}[:] = T_{atm}[:]/c1[:]^-1 h_{t_0}[:] = C_{p_{air}*T_{t_0}[:] P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:] T_{t_{1.8}}[:] = T_{t_0}[:] h_{t_{1.8}}[:] = h_{t_0}[:] P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5 T_{T_{2}}[:] = T_{t_{1.8}}[:] h_{T_{2}}[:] = h_{t_{1.8}}[:] P_{T_{2}}[:] = P_{t_{1.8}}[:] P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016 h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:] P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:] T_{t_7}[:] = T_{t_{2.1}}[:] h_{t_7}[:] = h_{t_{2.1}}[:] P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152 h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1} P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:] T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491 h_{t_3}[:] = C_{p_{2}*T_{t_3}[:] CombustorPerformance h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:] h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:] fp1[:] = f[:] + 1 M_{4a}[:] = 0.1025 fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5 T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]] P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891 u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a} u_c[:] = r_{uc}*u_{4a}[:] P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891 TurbinePerformance h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:] P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:] \pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565 h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:] P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:] T_{t_5}[:] = T_{t_{4.9}}[:] h_{t_5}[:] = h_{t_{4.9}}[:] ThrustPerformance P_{8}[:] = P_{atm}[:] h_{8}[:] = C_{p_{fex}*T_{8}[:] u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:] (P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:] h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:] P_{6}[:] = P_{atm}[:] (P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:] u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:] h_6[:] = C_{p_{tex}*T_{6}[:] h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:] \alpha[:] = m_{fan}[:]/m_{core}[:] \alpha_{+1}[:] = \alpha[:] + 1 \alpha[:] <= \alpha_{max} F[:] <= F_{6}[:] + F_{8}[:] F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:]) TSFC[:] = 1/I_{sp}[:] F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:] FanMapPerformance m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}} LPCMapPerformance m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D} HPCMapPerformance m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D} SizingPerformance P_{7}[:] >= P_{atm}[:] M_7[:] <= 1 a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5 a_{7}[:]*M_7[:] = u_{7}[:] \rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:]) P_{5}[:] >= P_{atm}[:] M_5[:] <= 1 a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5 a_{5}[:]*M_5[:] = u_{5}[:] \rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:]) h_{2}[:] = C_{p_{1}*T_{2}[:] \rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]) u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^0.5 h_{2.5}[:] = C_{p_{2}*T_{2.5}[:] \rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]) u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5 m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine} d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5 d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5 \eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]]) h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:] P_{t_4}[:] = \pi_{b}*P_{t_3}[:] M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]] M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]]) P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:] \pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013 \pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10 \pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10 \pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10 m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{f}[:] >= 1 \pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10 \pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:] >= 1 m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10 \pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10 \pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10 m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref}) \pi_{hc}[:] >= 1 OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:] P_{t_8}[:] = P_{t_7}[:] T_{t_8}[:] = T_{t_7}[:] P_{t_6}[:] = P_{t_5}[:] T_{t_6}[:] = T_{t_5}[:] F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:] I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g) N_{f}[:]*G_{f} = N_{1}[:] N_{1}[:] <= 1.1 N_{2}[:] <= 1.1 fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD} fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD} P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5 (T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2 P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979 (T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2 M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:] m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:] m_{total}[:] = m_{fan}[:] + m_{core}[:] P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512 T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1 m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2} P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857 T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1 m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD} m_{lc_D} >= 0.7*m_{coreD}/0.649 m_{lc_D} <= 1.3*m_{coreD}/0.649 m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23 m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23 \bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405 \bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405 F[:] = F_{spec}[:] T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}} OPR[:] <= OPR_{max} VerticalTail VerticalTailNoStruct C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}} L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}} c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt})) A_{vt} = b_{vt}^2/S_{vt} b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt} p_{vt} >= 1 + 2*\lambda_{vt} 2*q_{vt} >= 1 + p_{vt} y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} 0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt} \lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}} \Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}} \Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt} \lambda_{vt} >= 0.25 V_{vt} >= V_{vt_{min}} WingBox AR_{vt} = (2*b_{vt})^2/(2*S_{vt}) 0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) \tau_{vt} <= 0.14 W_{struct} >= 0.5*(W_{web} + W_{cap}) Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24 AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1 Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8 \lambda_{vt} = taper W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT}) HorizontalTail HorizontalTailNoStruct \Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht} \Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}} p_{ht} >= 1 + 2*\lambda_{ht} 2*q_{ht} >= 1 + p_{ht} y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht} 0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht} \lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}} S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2 0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht}) e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1 AR_{ht} = b_{ht}^2/S_{ht} \lambda_{ht} >= 0.2 \lambda_{ht} <= 1 WingBox AR_{ht} = b_{ht}^2/S_{ht} 0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) \tau_{ht} <= 0.14 W_{struct} >= W_{web} + W_{cap} L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2 L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht}) 2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1 Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8 L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht} L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}} W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht}) LandingGear l_n + z_{wing} + y_m*\tan(\gamma) >= l_m T = 2*y_m x_m >= x_n + B x_n >= 5 \tan(\phi) = \tan(\phi_{min}) (z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1 \tan(\psi) <= \tan(\psi_{max}) x_{up} - x_m <= l_m/\tan(\theta_{max}) y_m >= l_m S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG}) l_{oleo} = 2.5*S_{sa} d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5 l_m >= l_{oleo} + d_{t_m}/2 F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in]) W_{wa,m} = 1.2*F_{w_m}^0.609 F_{w_n} = L_{w_n}*d_{t_n}/1e+03 W_{wa,n} = 1.2*F_{w_n}^0.609 L_{w_m} = L_m/(n_{mg}*n_{wps}) L_{w_n} = L_n/n_{wps} d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315 w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48 d_{t_n} = 0.8*d_{t_m} w_{t_n} = 0.8*w_{t_m} W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m W_{mw} = n_{wps}*W_{wa,m} W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g \sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}}) W_{nw} >= n_{wps}*W_{wa,n} L_m <= 9.87*E*I_m/(K*l_m)^2 I_m = PI*r_m^3*t_m L_n <= 9.87*E*I_n/(K*l_n)^2 I_n = PI*r_n^3*t_n 2*r_m/t_m <= 40 2*r_m/t_n <= 40 h_{hold} >= 2*w_{t_m} + 2*r_m 0.8 >= 2*w_{t_n} + 2*r_n W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m})) W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n}) W_{lg} >= C_{lg}*(W_{mg} + W_{ng}) W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m x_m >= x_{CG_{lg}} c_{root} = c_0 Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c} x_w = x_{wing} Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift} f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}} W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc} W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:] W_{total}[:] <= W_{total, max} f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}} W_{misc} >= W_{lg} + W_{hpesys} W_{hpesys} = f_{hpesys}*W_{total, max} x_n <= l_{nose} x_m >= x_{wing} \Delta x_{AC_{wing}} + x_{wing} >= x_m x_{hpesys} = 1.1*l_{nose} x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys} d_{nacelle} >= d_{f} + 2*t_{nacelle} E_{land} >= W_{total, max}/(2*g)*w_{ult}^2 x_{up} = x_{shell2} L_n = W_{total, max}*\Delta x_m/B L_m = W_{total, max}*\Delta x_n/B L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max} y_{eng} >= y_m 3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}} V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse} W_{tail} >= n_{vt}*W_{vt} + W_{ht} 2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db} B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v}) m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht} x_{CG_{ht}} <= l_{fuse} V_{ht} = S_{ht}*l_{ht}/(S*mac) L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}} L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}} x_{CG_{vt}} <= l_{fuse} V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b) n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max} n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng} D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}} I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:] I_{z}[:] <= I_{z, max} S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2 l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}} f_{S_{nacelle}} = S_{nacelle}*S^-1 A_{inlet} = 0.4*S_{nacelle} A_{fancowl} = 0.2*S_{nacelle} A_{exh} = 0.4*S_{nacelle} A_{corecowl} = 3PI*d_{LPC}^2 W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl}) W_{eadd} = f_{eadd}*W_{engine} W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon} W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine}) y_{eng} = 0.5*w_{fuse} (L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root} A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend}) A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h}) I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16) I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81 I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81) x_{shell2} + l_{cone} >= x_{eng} x_{eng} >= x_{shell2} + 0.75*l_{cone} S_{floor} = 0.312*P_{floor} M_{floor} = 0.0352*P_{floor}*w_{floor} \Delta R_{fuse} = R_{fuse}*0.43/1.75 b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2 b_{ht_{out}} = 0.5*b_{ht} - w_{fuse} L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}} M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}} L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}} c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach} \pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht}) FlightSegment FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) FlightP P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:] RC[:] = P_{excess}[:]/W_{avg}[:] \theta[:]*V[:] = RC[:] dhft[:] = tmin[:]*RC[:] R_{segment}[:] = thr[:]*V[:] WingPerformance 0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:] \Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:] \Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2 (AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2 C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:] \alpha_w[:] <= \alpha_{max,w}[:] D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:] C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:] C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR) Re_w[:] = \rho[:]*V[:]*mac/\mu[:] C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114 FuselagePerformance (no constraints) VerticalTailPerformance D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:] Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:] C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577 HorizontalTailPerformance L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:] C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:] \alpha_{ht}[:] <= \alpha_{ht,max} C_{L_{\alpha,ht_0}}[:] = 6.28 D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:] C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht}) Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:] C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852 W_{burn}[:] = W_{burn}[:] F_{fuel}[:] = F_{fuel}[:] \rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:]) P_{cabin}[:] = 7.5e+04 T_{cabin}[:] = 297 V[:] >= V_{stall}[:] W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:] tmin[:] = thr[:] L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:] L_{total}[:] = f_{L_{total/wing}}*L_w[:] L_{total}[:] >= W_{avg}[:] + L_{ht}[:] D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2 D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:]) C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S) L/D[:] = W_{avg}[:]/D[:] W_{Load}[:] <= W_{Load_{max}}[:] W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S p_{o}[:] >= L_w[:]*c_{root}/S \eta_{o}[:] = w_{fuse}/(b/2) x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:] c_{m_{w}}[:] = 1.9 x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2) x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse} x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}} x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}} C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht} AR_{ht} >= 4 C_{L_{ht}}[:] >= 0.01 SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac SM[:] >= SM_{min} SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}} x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:] R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:] C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2 V_{nacelle}[:] = r_{v_{nacelle}}*V[:] V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]] r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0) C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0 D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S \Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}} M_2[:3] = M[:3] M_{2.5}[:3] = 0.6 hold_{2}[:3] = 1.07164 hold_{2.5}[:3] = 1.06372 P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:] c1[:] = 1 + 0.201*M[:]^2.0 M_2[3:] = M[3:] M_{2.5}[3:] = 0.6 hold_{2}[3:] = 1.07164 hold_{2.5}[3:] = 1.06372 Beginning signomial solve. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.03 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.18 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.17 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286549258e+05 2.000000000e+00 1.0e+00 0.21 1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.266024922e+05 3.598693670e+00 4.9e-01 1.70 2 4.2e+02 5.5e+02 2.4e+04 -9.38e-01 -1.201551142e+05 1.049723412e+01 1.8e-01 3.52 3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.156934257e+05 6.529361624e+01 1.3e-01 5.62 4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.132263681e+05 2.119352011e+03 1.3e-01 7.39 5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.093604042e+04 8.548147696e+03 3.9e-02 9.49 6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.777912696e+04 1.028826299e+04 1.6e-02 10.98 7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.169519463e+04 7.234712816e+03 9.5e-03 12.65 8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.514945135e+04 4.205067936e+03 4.2e-03 13.66 9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.814222119e+03 2.847748667e+03 2.5e-03 15.41 10 1.4e+00 1.8e+00 7.8e+01 9.08e-01 -2.053760908e+03 9.408839157e+02 6.1e-04 16.89 11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.378819341e+02 7.264710682e+02 3.2e-04 18.41 12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.838983752e+02 5.661965124e+02 2.2e-04 19.93 13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.176267395e+02 4.899351444e+02 1.6e-04 20.60 14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.967388642e+01 3.675580758e+02 7.9e-05 22.40 15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.620939163e+02 2.906286565e+02 2.7e-05 22.72 16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.996499288e+02 2.749097542e+02 1.6e-05 24.53 17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445324462e+02 2.572720737e+02 2.8e-06 25.00 18 1.5e-03 1.3e-01 9.7e-02 1.00e+00 2.509417918e+02 2.547011544e+02 8.3e-07 26.04 19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527811526e+02 2.540259852e+02 2.8e-07 27.23 20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532872695e+02 2.538371102e+02 1.2e-07 28.88 21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533284787e+02 2.538233497e+02 1.1e-07 29.54 22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533644277e+02 2.538097870e+02 1.0e-07 31.52 23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533968242e+02 2.537976313e+02 9.0e-08 33.60 24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534259549e+02 2.537866675e+02 8.1e-08 35.61 25 1.2e-04 5.4e-02 8.4e-03 1.00e+00 2.534521541e+02 2.537767839e+02 7.3e-08 36.42 26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534757162e+02 2.537678733e+02 6.6e-08 38.06 27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534969087e+02 2.537598421e+02 5.9e-08 40.03 28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535159710e+02 2.537526045e+02 5.3e-08 41.29 29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535331180e+02 2.537460828e+02 4.8e-08 42.57 30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535485429e+02 2.537402069e+02 4.3e-08 44.81 31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535624191e+02 2.537349132e+02 3.9e-08 45.90 32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535749025e+02 2.537301444e+02 3.5e-08 47.37 33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535861332e+02 2.537258487e+02 3.1e-08 47.68 34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535962370e+02 2.537219792e+02 2.8e-08 49.46 35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536053274e+02 2.537184940e+02 2.5e-08 49.93 36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536135060e+02 2.537153548e+02 2.3e-08 51.89 37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536208644e+02 2.537125276e+02 2.1e-08 53.81 38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536274851e+02 2.537099813e+02 1.9e-08 55.36 39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536334421e+02 2.537076882e+02 1.7e-08 56.68 40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536388020e+02 2.537056231e+02 1.5e-08 58.15 41 2.3e-05 1.6e-02 1.6e-03 1.00e+00 2.536436247e+02 2.537037635e+02 1.4e-08 60.06 42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536479643e+02 2.537020890e+02 1.2e-08 61.54 43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536518690e+02 2.537005811e+02 1.1e-08 63.36 44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536553826e+02 2.536992235e+02 9.9e-09 64.31 45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536585443e+02 2.536980010e+02 8.9e-09 65.93 46 1.4e-05 1.3e-02 9.2e-04 1.00e+00 2.536613895e+02 2.536969005e+02 8.0e-09 67.49 47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639497e+02 2.536959096e+02 7.2e-09 69.51 48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662536e+02 2.536950175e+02 6.5e-09 71.50 49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683269e+02 2.536942144e+02 5.8e-09 72.57 50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701927e+02 2.536934915e+02 5.2e-09 75.11 51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718717e+02 2.536928407e+02 4.7e-09 76.65 52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733827e+02 2.536922548e+02 4.2e-09 77.12 53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747425e+02 2.536917274e+02 3.8e-09 78.67 54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536759662e+02 2.536912527e+02 3.4e-09 79.32 55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770675e+02 2.536908254e+02 3.1e-09 81.28 56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780586e+02 2.536904407e+02 2.8e-09 82.80 57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789505e+02 2.536900944e+02 2.5e-09 83.91 58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797532e+02 2.536897827e+02 2.3e-09 85.94 59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804755e+02 2.536895021e+02 2.0e-09 87.83 60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811256e+02 2.536892496e+02 1.8e-09 89.79 61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536846947e+02 2.536878616e+02 7.1e-10 91.85 62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849233e+02 2.536877735e+02 6.4e-10 93.76 63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862379e+02 2.536872619e+02 2.3e-10 95.38 64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863117e+02 2.536872332e+02 2.1e-10 96.86 65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863780e+02 2.536872074e+02 1.9e-10 97.63 66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864377e+02 2.536871841e+02 1.7e-10 99.51 67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864914e+02 2.536871632e+02 1.5e-10 99.78 68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865397e+02 2.536871444e+02 1.4e-10 101.84 69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865832e+02 2.536871274e+02 1.2e-10 103.69 70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866224e+02 2.536871122e+02 1.1e-10 104.35 71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866576e+02 2.536870984e+02 9.9e-11 105.60 72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866893e+02 2.536870860e+02 8.9e-11 107.19 73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867179e+02 2.536870749e+02 8.0e-11 109.26 74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867436e+02 2.536870649e+02 7.2e-11 111.08 75 1.1e-07 3.1e-04 7.5e-06 1.00e+00 2.536867667e+02 2.536870559e+02 6.5e-11 112.70 76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867875e+02 2.536870478e+02 5.9e-11 114.61 77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868062e+02 2.536870405e+02 5.3e-11 116.56 78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868231e+02 2.536870339e+02 4.7e-11 118.66 79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868382e+02 2.536870280e+02 4.3e-11 120.53 80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868519e+02 2.536870226e+02 3.8e-11 122.56 81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868641e+02 2.536870178e+02 3.5e-11 124.39 82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868752e+02 2.536870135e+02 3.1e-11 124.67 83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868851e+02 2.536870096e+02 2.8e-11 126.44 84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868941e+02 2.536870061e+02 2.5e-11 127.12 85 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869022e+02 2.536870030e+02 2.3e-11 128.82 86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869094e+02 2.536870002e+02 2.0e-11 130.48 87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869159e+02 2.536869976e+02 1.8e-11 132.30 88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869218e+02 2.536869953e+02 1.7e-11 134.02 89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869271e+02 2.536869933e+02 1.5e-11 135.60 90 2.3e-08 6.3e-05 1.5e-06 1.00e+00 2.536869318e+02 2.536869914e+02 1.3e-11 137.63 91 2.1e-08 5.7e-05 1.4e-06 1.00e+00 2.536869361e+02 2.536869897e+02 1.2e-11 138.41 92 1.8e-08 5.1e-05 1.2e-06 9.99e-01 2.536869400e+02 2.536869882e+02 1.1e-11 140.53 93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869434e+02 2.536869869e+02 9.8e-12 142.17 94 1.5e-08 4.1e-05 1.0e-06 9.99e-01 2.536869466e+02 2.536869856e+02 8.8e-12 144.10 95 1.3e-08 3.7e-05 9.1e-07 1.00e+00 2.536869494e+02 2.536869845e+02 7.9e-12 145.94 96 1.2e-08 3.3e-05 8.2e-07 9.99e-01 2.536869519e+02 2.536869835e+02 7.1e-12 147.26 97 1.1e-08 3.0e-05 7.3e-07 1.00e+00 2.536869542e+02 2.536869827e+02 6.4e-12 149.21 98 9.8e-09 2.7e-05 6.6e-07 9.99e-01 2.536869562e+02 2.536869819e+02 5.8e-12 150.64 Interior-point optimizer terminated. Time: 150.65. Optimizer terminated. Time: 150.66 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 2.5368695622e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 2.5368698186e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 151 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.04 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.03 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.287360498e+05 2.000000000e+00 1.0e+00 0.06 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265110231e+05 3.765083271e+00 4.7e-01 1.95 2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210809027e+05 9.892075703e+00 2.0e-01 4.04 3 2.9e+02 3.8e+02 1.6e+04 -8.49e-01 -1.159070553e+05 5.291029286e+01 1.3e-01 4.24 4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137407596e+05 1.901983808e+03 1.3e-01 6.28 5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.821511987e+04 9.193951107e+03 3.6e-02 8.37 6 3.6e+01 4.7e+01 2.0e+03 -2.50e-01 -4.672141040e+04 1.020378755e+04 1.6e-02 10.40 7 1.8e+01 2.4e+01 1.0e+03 2.80e-01 -2.779391366e+04 6.414826594e+03 8.1e-03 12.20 8 9.2e+00 1.2e+01 5.2e+02 6.08e-01 -1.476472235e+04 4.041024116e+03 4.1e-03 13.23 9 5.6e+00 7.3e+00 3.2e+02 8.20e-01 -9.111224305e+03 2.774448732e+03 2.5e-03 14.44 10 2.0e+00 2.6e+00 1.1e+02 9.05e-01 -3.122705146e+03 1.195419962e+03 8.8e-04 16.00 11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.491814037e+03 1.045767851e+03 7.2e-04 17.57 12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.305224196e+03 6.750623048e+02 4.0e-04 19.50 13 4.7e-01 7.3e-01 2.7e+01 9.85e-01 -5.931153574e+02 4.528538064e+02 2.1e-04 21.64 14 2.3e-01 3.6e-01 1.3e+01 9.97e-01 -2.041455851e+02 3.185247233e+02 1.1e-04 22.36 15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 6.363134967e+00 2.384155263e+02 4.8e-05 24.29 16 5.4e-02 1.1e-01 3.1e+00 1.00e+00 8.470040364e+01 2.067535685e+02 2.5e-05 26.15 17 1.1e-02 1.5e-01 7.0e-01 1.00e+00 1.527923569e+02 1.799084459e+02 5.8e-06 27.73 18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.616036193e+02 1.764886362e+02 3.2e-06 29.75 19 1.8e-03 1.1e-01 1.2e-01 1.01e+00 1.691302021e+02 1.736215396e+02 9.8e-07 31.18 20 4.9e-04 1.2e-01 3.2e-02 1.01e+00 1.715040314e+02 1.727335439e+02 2.7e-07 33.13 21 1.7e-04 1.0e-01 1.1e-02 1.00e+00 1.720902964e+02 1.725234541e+02 9.7e-08 33.67 22 1.4e-04 8.6e-02 9.1e-03 1.00e+00 1.721496463e+02 1.724997935e+02 7.9e-08 35.62 23 6.4e-05 7.6e-02 4.2e-03 1.00e+00 1.722876612e+02 1.724485688e+02 3.6e-08 35.99 24 5.7e-05 6.9e-02 3.8e-03 1.00e+00 1.723003973e+02 1.724452282e+02 3.3e-08 37.87 25 5.2e-05 6.3e-02 3.4e-03 1.00e+00 1.723108298e+02 1.724411723e+02 2.9e-08 39.77 26 4.6e-05 5.8e-02 3.0e-03 1.00e+00 1.723202759e+02 1.724375804e+02 2.6e-08 41.81 27 4.2e-05 5.3e-02 2.7e-03 1.00e+00 1.723287548e+02 1.724343258e+02 2.4e-08 42.73 28 3.8e-05 4.8e-02 2.5e-03 1.00e+00 1.723363728e+02 1.724313839e+02 2.1e-08 44.42 29 3.4e-05 4.4e-02 2.2e-03 1.00e+00 1.723432186e+02 1.724287263e+02 1.9e-08 45.60 30 3.0e-05 4.1e-02 2.0e-03 1.00e+00 1.723493709e+02 1.724263260e+02 1.7e-08 47.03 31 2.7e-05 3.7e-02 1.8e-03 1.00e+00 1.723549007e+02 1.724241587e+02 1.6e-08 47.30 32 2.5e-05 3.4e-02 1.6e-03 1.00e+00 1.723598716e+02 1.724222025e+02 1.4e-08 49.08 33 2.2e-05 3.2e-02 1.5e-03 1.00e+00 1.723643406e+02 1.724204372e+02 1.3e-08 50.72 34 2.0e-05 2.9e-02 1.3e-03 1.00e+00 1.723683586e+02 1.724188447e+02 1.1e-08 51.68 35 1.8e-05 2.7e-02 1.2e-03 1.00e+00 1.723719716e+02 1.724174084e+02 1.0e-08 53.26 36 1.6e-05 2.5e-02 1.1e-03 1.00e+00 1.723752205e+02 1.724161131e+02 9.2e-09 54.23 37 1.5e-05 2.4e-02 9.6e-04 1.00e+00 1.723781423e+02 1.724149452e+02 8.3e-09 55.71 38 1.3e-05 2.2e-02 8.6e-04 1.00e+00 1.723807701e+02 1.724138923e+02 7.5e-09 56.72 39 1.2e-05 2.1e-02 7.7e-04 1.00e+00 1.723831335e+02 1.724129432e+02 6.7e-09 58.04 40 1.1e-05 1.9e-02 7.0e-04 1.00e+00 1.723852593e+02 1.724120878e+02 6.0e-09 58.76 41 9.6e-06 1.8e-02 6.3e-04 1.00e+00 1.723871714e+02 1.724113168e+02 5.4e-09 60.31 42 8.6e-06 1.7e-02 5.6e-04 1.00e+00 1.723888913e+02 1.724106221e+02 4.9e-09 60.96 43 7.7e-06 1.6e-02 5.1e-04 1.00e+00 1.723904385e+02 1.724099962e+02 4.4e-09 62.56 44 7.0e-06 1.5e-02 4.6e-04 1.00e+00 1.723918304e+02 1.724094322e+02 4.0e-09 64.49 45 6.3e-06 1.5e-02 4.1e-04 1.00e+00 1.723930825e+02 1.724089241e+02 3.6e-09 66.58 46 5.6e-06 1.4e-02 3.7e-04 1.00e+00 1.723942090e+02 1.724084664e+02 3.2e-09 68.31 47 5.1e-06 1.3e-02 3.3e-04 1.00e+00 1.723952225e+02 1.724080541e+02 2.9e-09 70.38 48 4.6e-06 1.3e-02 3.0e-04 1.00e+00 1.723961343e+02 1.724076828e+02 2.6e-09 71.74 49 4.1e-06 1.2e-02 2.7e-04 1.00e+00 1.723969546e+02 1.724073483e+02 2.3e-09 72.37 50 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.723976927e+02 1.724070470e+02 2.1e-09 74.30 51 3.3e-06 1.1e-02 2.2e-04 1.00e+00 1.723983568e+02 1.724067757e+02 1.9e-09 74.55 52 3.0e-06 1.1e-02 2.0e-04 1.00e+00 1.723989544e+02 1.724065314e+02 1.7e-09 76.43 53 2.7e-06 1.1e-02 1.8e-04 1.00e+00 1.723994921e+02 1.724063113e+02 1.5e-09 78.35 54 2.4e-06 1.0e-02 1.6e-04 1.00e+00 1.723999759e+02 1.724061132e+02 1.4e-09 79.03 55 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.724004112e+02 1.724059348e+02 1.2e-09 80.12 56 2.0e-06 9.8e-03 1.3e-04 1.00e+00 1.724008029e+02 1.724057742e+02 1.1e-09 82.20 57 1.8e-06 9.6e-03 1.2e-04 1.00e+00 1.724011554e+02 1.724056296e+02 1.0e-09 83.38 58 1.6e-06 9.4e-03 1.0e-04 1.00e+00 1.724014725e+02 1.724054993e+02 9.1e-10 84.08 59 1.4e-06 9.2e-03 9.4e-05 1.00e+00 1.724017579e+02 1.724053821e+02 8.2e-10 85.75 60 1.3e-06 9.0e-03 8.5e-05 1.00e+00 1.724020147e+02 1.724052765e+02 7.3e-10 85.89 61 1.2e-06 8.9e-03 7.6e-05 1.00e+00 1.724022458e+02 1.724051814e+02 6.6e-10 87.51 62 1.0e-06 8.8e-03 6.9e-05 1.00e+00 1.724024538e+02 1.724050958e+02 5.9e-10 88.67 63 9.4e-07 8.6e-03 6.2e-05 1.00e+00 1.724026409e+02 1.724050187e+02 5.4e-10 89.91 64 8.5e-07 8.5e-03 5.6e-05 1.00e+00 1.724028093e+02 1.724049494e+02 4.8e-10 91.48 65 7.6e-07 8.4e-03 5.0e-05 1.00e+00 1.724029609e+02 1.724048869e+02 4.3e-10 92.61 66 6.9e-07 8.3e-03 4.5e-05 1.00e+00 1.724030972e+02 1.724048307e+02 3.9e-10 94.01 67 6.2e-07 8.2e-03 4.1e-05 1.00e+00 1.724032199e+02 1.724047800e+02 3.5e-10 94.96 68 5.6e-07 8.2e-03 3.6e-05 1.00e+00 1.724033304e+02 1.724047344e+02 3.2e-10 96.79 69 5.0e-07 8.1e-03 3.3e-05 1.00e+00 1.724034297e+02 1.724046933e+02 2.8e-10 98.63 70 4.5e-07 8.0e-03 3.0e-05 1.00e+00 1.724035192e+02 1.724046564e+02 2.6e-10 99.40 71 4.1e-07 8.0e-03 2.7e-05 1.00e+00 1.724035996e+02 1.724046231e+02 2.3e-10 101.03 72 3.6e-07 7.9e-03 2.4e-05 1.00e+00 1.724036720e+02 1.724045932e+02 2.1e-10 101.64 73 3.3e-07 7.9e-03 2.2e-05 1.00e+00 1.724037372e+02 1.724045662e+02 1.9e-10 103.84 74 3.0e-07 7.8e-03 1.9e-05 1.00e+00 1.724037958e+02 1.724045419e+02 1.7e-10 105.89 75 2.7e-07 7.8e-03 1.7e-05 1.00e+00 1.724038486e+02 1.724045201e+02 1.5e-10 107.69 76 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038961e+02 1.724045004e+02 1.4e-10 110.02 77 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.724039388e+02 1.724044827e+02 1.2e-10 110.74 78 1.9e-07 7.7e-03 1.3e-05 1.00e+00 1.724039773e+02 1.724044667e+02 1.1e-10 112.42 79 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.724040119e+02 1.724044524e+02 9.9e-11 114.29 80 1.6e-07 7.6e-03 1.0e-05 9.98e-01 1.724040430e+02 1.724044395e+02 8.9e-11 115.82 81 1.4e-07 7.6e-03 9.3e-06 9.99e-01 1.724040710e+02 1.724044279e+02 8.0e-11 117.76 82 1.3e-07 7.5e-03 8.3e-06 1.00e+00 1.724040962e+02 1.724044174e+02 7.2e-11 119.61 83 1.1e-07 7.5e-03 7.5e-06 1.00e+00 1.724041189e+02 1.724044080e+02 6.5e-11 121.21 84 1.0e-07 7.5e-03 6.8e-06 9.99e-01 1.724041393e+02 1.724043995e+02 5.9e-11 123.21 85 9.3e-08 7.5e-03 6.1e-06 9.96e-01 1.724041577e+02 1.724043919e+02 5.3e-11 124.41 86 8.3e-08 7.4e-03 5.5e-06 1.00e+00 1.724041742e+02 1.724043850e+02 4.7e-11 126.24 87 7.5e-08 7.4e-03 4.9e-06 1.00e+00 1.724041892e+02 1.724043788e+02 4.3e-11 128.07 88 6.8e-08 7.4e-03 4.4e-06 9.99e-01 1.724042026e+02 1.724043732e+02 3.8e-11 129.93 89 6.1e-08 7.4e-03 4.0e-06 9.98e-01 1.724042146e+02 1.724043682e+02 3.5e-11 130.97 90 5.5e-08 7.4e-03 3.6e-06 1.00e+00 1.724042255e+02 1.724043637e+02 3.1e-11 132.22 91 4.9e-08 7.4e-03 3.2e-06 1.00e+00 1.724042352e+02 1.724043596e+02 2.8e-11 133.46 92 4.4e-08 6.6e-03 2.9e-06 1.01e+00 1.724042443e+02 1.724043558e+02 2.5e-11 135.46 93 4.0e-08 6.0e-03 2.6e-06 1.00e+00 1.724042522e+02 1.724043525e+02 2.3e-11 135.78 94 3.6e-08 5.4e-03 2.4e-06 9.99e-01 1.724042593e+02 1.724043495e+02 2.1e-11 135.92 95 3.2e-08 4.8e-03 2.1e-06 1.01e+00 1.724042658e+02 1.724043468e+02 1.9e-11 137.67 96 2.9e-08 4.4e-03 1.9e-06 9.96e-01 1.724042715e+02 1.724043445e+02 1.7e-11 139.71 97 2.6e-08 3.9e-03 1.7e-06 1.00e+00 1.724042766e+02 1.724043423e+02 1.5e-11 140.27 98 2.4e-08 3.5e-03 1.5e-06 1.01e+00 1.724042813e+02 1.724043403e+02 1.4e-11 140.32 99 2.1e-08 3.2e-03 1.4e-06 1.00e+00 1.724042855e+02 1.724043386e+02 1.2e-11 141.99 100 5.5e-09 8.0e-04 3.5e-07 1.01e+00 1.724043134e+02 1.724043268e+02 3.1e-12 144.06 101 4.9e-09 7.2e-04 3.2e-07 9.46e-01 1.724043144e+02 1.724043264e+02 2.8e-12 144.81 102 1.1e-09 8.4e-05 3.7e-08 9.37e-01 1.724043221e+02 1.724043235e+02 3.9e-13 146.65 Interior-point optimizer terminated. Time: 146.65. Optimizer terminated. Time: 146.66 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.7240432207e+02 Viol. con: 3e-08 var: 0e+00 Dual. obj: 1.7240432352e+02 Viol. con: 0e+00 var: 6e-04 * End solution on dual form. * Transforming to primal solution. Solving took 147 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289933606e+05 2.000000000e+00 1.0e+00 0.05 1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.268320467e+05 3.623041131e+00 4.8e-01 1.88 2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.208314550e+05 1.006709460e+01 1.9e-01 4.14 3 2.9e+02 3.8e+02 1.6e+04 -8.42e-01 -1.161088703e+05 6.041765646e+01 1.3e-01 5.81 4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136047846e+05 2.178771931e+03 1.3e-01 7.64 5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.726434142e+04 9.484464807e+03 3.5e-02 9.63 6 4.0e+01 5.2e+01 2.2e+03 -2.31e-01 -5.058299829e+04 1.013810703e+04 1.8e-02 11.49 7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.153553427e+04 8.375057812e+03 1.3e-02 13.17 8 1.8e+01 2.4e+01 1.0e+03 3.84e-01 -2.815875181e+04 5.382454304e+03 8.0e-03 14.71 9 7.8e+00 1.0e+01 4.4e+02 6.11e-01 -1.288940711e+04 3.138029639e+03 3.4e-03 15.94 10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.391131988e+03 2.123846752e+03 1.8e-03 17.92 11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.532012538e+03 1.326730000e+03 1.0e-03 19.44 12 9.5e-01 1.2e+00 5.3e+01 9.75e-01 -1.390763806e+03 6.696281243e+02 4.2e-04 21.13 13 8.0e-01 1.1e+00 4.5e+01 9.74e-01 -1.179918399e+03 5.959705840e+02 3.6e-04 21.29 14 7.0e-01 9.2e-01 4.0e+01 9.78e-01 -9.979208764e+02 5.542405464e+02 3.1e-04 23.42 15 2.2e-01 3.1e-01 1.3e+01 9.82e-01 -2.191239215e+02 2.844868532e+02 1.0e-04 25.28 16 1.4e-01 1.9e-01 7.8e+00 1.01e+00 -7.255386054e+01 2.329749078e+02 6.2e-05 27.09 17 8.0e-02 1.2e-01 4.6e+00 1.01e+00 2.160164619e+01 2.014352054e+02 3.7e-05 28.14 18 7.9e-02 1.2e-01 4.6e+00 1.02e+00 2.346499569e+01 2.015325125e+02 3.7e-05 29.84 19 6.4e-02 1.1e-01 3.7e+00 1.02e+00 5.594518509e+01 2.013769964e+02 3.0e-05 30.45 20 1.9e-02 9.8e-02 1.1e+00 1.01e+00 1.337494336e+02 1.766930255e+02 8.9e-06 32.27 21 5.6e-03 2.1e-01 3.4e-01 1.02e+00 1.576847315e+02 1.706502007e+02 2.7e-06 32.60 22 5.1e-03 2.1e-01 3.1e-01 9.94e-01 1.583923627e+02 1.701922212e+02 2.5e-06 34.58 23 3.4e-03 1.4e-01 2.0e-01 9.75e-01 1.613229032e+02 1.691451499e+02 1.6e-06 34.88 24 1.6e-03 8.5e-02 9.5e-02 9.88e-01 1.644148356e+02 1.680741884e+02 7.6e-07 36.49 25 9.0e-04 6.5e-02 5.5e-02 1.01e+00 1.655674422e+02 1.676861773e+02 4.4e-07 38.20 26 3.7e-04 7.8e-02 2.3e-02 1.01e+00 1.664714605e+02 1.673529880e+02 1.9e-07 40.27 27 1.7e-04 7.6e-02 1.1e-02 1.01e+00 1.668053613e+02 1.672191587e+02 8.8e-08 41.81 28 1.6e-04 7.0e-02 9.8e-03 1.01e+00 1.668392356e+02 1.672117426e+02 8.0e-08 43.44 29 1.4e-04 6.4e-02 8.8e-03 1.01e+00 1.668650882e+02 1.672002041e+02 7.2e-08 43.91 30 1.3e-04 5.8e-02 7.9e-03 1.01e+00 1.668888002e+02 1.671903265e+02 6.5e-08 46.16 31 1.1e-04 5.3e-02 7.1e-03 1.01e+00 1.669099640e+02 1.671812694e+02 5.8e-08 46.21 32 1.0e-04 4.9e-02 6.4e-03 1.01e+00 1.669289533e+02 1.671730712e+02 5.2e-08 46.28 33 9.2e-05 4.5e-02 5.8e-03 1.01e+00 1.669459810e+02 1.671656396e+02 4.7e-08 47.46 34 8.3e-05 4.1e-02 5.2e-03 1.01e+00 1.669612557e+02 1.671589089e+02 4.2e-08 48.44 35 7.5e-05 3.8e-02 4.7e-03 1.01e+00 1.669749599e+02 1.671528153e+02 3.8e-08 48.48 36 6.7e-05 3.5e-02 4.2e-03 1.01e+00 1.669872574e+02 1.671473005e+02 3.4e-08 50.28 37 6.0e-05 3.2e-02 3.8e-03 1.00e+00 1.669982943e+02 1.671423111e+02 3.1e-08 50.78 38 5.4e-05 3.0e-02 3.4e-03 1.00e+00 1.670082013e+02 1.671377985e+02 2.8e-08 52.69 39 4.9e-05 2.7e-02 3.1e-03 1.00e+00 1.670170953e+02 1.671337180e+02 2.5e-08 54.40 40 4.4e-05 2.5e-02 2.8e-03 1.00e+00 1.670250809e+02 1.671300293e+02 2.3e-08 56.71 41 4.0e-05 2.4e-02 2.5e-03 1.00e+00 1.670322517e+02 1.671266956e+02 2.0e-08 57.66 42 3.6e-05 2.2e-02 2.2e-03 1.00e+00 1.670386918e+02 1.671236833e+02 1.8e-08 59.52 43 3.2e-05 2.1e-02 2.0e-03 1.00e+00 1.670444761e+02 1.671209621e+02 1.6e-08 61.16 44 2.9e-05 1.9e-02 1.8e-03 1.00e+00 1.670496720e+02 1.671185042e+02 1.5e-08 63.45 45 2.6e-05 1.8e-02 1.6e-03 1.00e+00 1.670543400e+02 1.671162848e+02 1.3e-08 65.55 46 2.3e-05 1.7e-02 1.5e-03 1.00e+00 1.670585340e+02 1.671142808e+02 1.2e-08 66.59 47 2.1e-05 1.6e-02 1.3e-03 1.00e+00 1.670623025e+02 1.671124720e+02 1.1e-08 68.32 48 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.670656889e+02 1.671108393e+02 9.7e-09 70.43 49 1.7e-05 1.5e-02 1.1e-03 1.00e+00 1.670687324e+02 1.671093659e+02 8.7e-09 71.11 50 1.5e-05 1.4e-02 9.6e-04 1.00e+00 1.670714679e+02 1.671080366e+02 7.9e-09 72.77 51 1.4e-05 1.3e-02 8.7e-04 1.00e+00 1.670739267e+02 1.671068373e+02 7.1e-09 74.55 52 1.2e-05 1.3e-02 7.8e-04 1.00e+00 1.670761369e+02 1.671057556e+02 6.4e-09 75.67 53 1.1e-05 1.2e-02 7.0e-04 1.00e+00 1.670781239e+02 1.671047801e+02 5.7e-09 77.05 54 1.0e-05 1.2e-02 6.3e-04 1.00e+00 1.670799104e+02 1.671039004e+02 5.2e-09 78.68 55 9.1e-06 1.2e-02 5.7e-04 1.00e+00 1.670815167e+02 1.671031071e+02 4.6e-09 79.95 56 8.2e-06 1.1e-02 5.1e-04 1.00e+00 1.670829611e+02 1.671023921e+02 4.2e-09 81.38 57 7.4e-06 1.1e-02 4.6e-04 1.00e+00 1.670842600e+02 1.671017476e+02 3.8e-09 82.35 58 6.6e-06 1.1e-02 4.2e-04 1.00e+00 1.670854281e+02 1.671011667e+02 3.4e-09 83.66 59 6.0e-06 1.0e-02 3.7e-04 1.00e+00 1.670864786e+02 1.671006432e+02 3.0e-09 85.46 60 5.4e-06 1.0e-02 3.4e-04 1.00e+00 1.670874235e+02 1.671001715e+02 2.7e-09 86.86 61 2.0e-06 3.9e-03 1.3e-04 1.00e+00 1.670926496e+02 1.670975335e+02 1.1e-09 88.20 62 8.3e-07 1.6e-03 5.2e-05 1.00e+00 1.670945839e+02 1.670965549e+02 4.2e-10 89.27 63 7.4e-07 1.4e-03 4.7e-05 1.00e+00 1.670947185e+02 1.670964923e+02 3.8e-10 90.85 64 4.5e-07 8.4e-04 2.8e-05 1.00e+00 1.670951843e+02 1.670962520e+02 2.3e-10 91.72 65 4.0e-07 7.6e-04 2.5e-05 1.00e+00 1.670952558e+02 1.670962167e+02 2.1e-10 93.35 66 3.6e-07 6.8e-04 2.3e-05 1.00e+00 1.670953193e+02 1.670961841e+02 1.9e-10 94.88 67 3.3e-07 6.1e-04 2.1e-05 1.00e+00 1.670953763e+02 1.670961546e+02 1.7e-10 95.96 68 2.9e-07 5.5e-04 1.9e-05 1.00e+00 1.670954277e+02 1.670961281e+02 1.5e-10 96.17 69 2.6e-07 5.0e-04 1.7e-05 9.98e-01 1.670954738e+02 1.670961043e+02 1.4e-10 97.57 70 2.4e-07 4.5e-04 1.5e-05 9.99e-01 1.670955154e+02 1.670960829e+02 1.2e-10 98.41 71 2.1e-07 4.0e-04 1.3e-05 9.99e-01 1.670955528e+02 1.670960635e+02 1.1e-10 99.88 72 1.9e-07 3.6e-04 1.2e-05 1.00e+00 1.670955864e+02 1.670960461e+02 9.9e-11 100.69 73 1.7e-07 3.3e-04 1.1e-05 1.00e+00 1.670956167e+02 1.670960304e+02 8.9e-11 102.30 74 1.6e-07 2.9e-04 9.8e-06 9.98e-01 1.670956439e+02 1.670960163e+02 8.0e-11 103.82 75 1.4e-07 2.6e-04 8.9e-06 9.98e-01 1.670956684e+02 1.670960035e+02 7.2e-11 104.77 76 1.3e-07 2.4e-04 8.0e-06 1.00e+00 1.670956905e+02 1.670959921e+02 6.5e-11 105.90 77 1.1e-07 2.1e-04 7.2e-06 1.00e+00 1.670957103e+02 1.670959818e+02 5.8e-11 106.81 78 1.0e-07 1.9e-04 6.5e-06 9.95e-01 1.670957282e+02 1.670959725e+02 5.3e-11 108.53 79 9.2e-08 1.7e-04 5.8e-06 9.99e-01 1.670957442e+02 1.670959642e+02 4.7e-11 110.13 80 8.3e-08 1.6e-04 5.2e-06 9.95e-01 1.670957587e+02 1.670959567e+02 4.3e-11 111.45 81 7.5e-08 1.4e-04 4.7e-06 1.00e+00 1.670957718e+02 1.670959498e+02 3.8e-11 112.15 82 6.7e-08 1.3e-04 4.2e-06 1.01e+00 1.670957838e+02 1.670959436e+02 3.5e-11 113.54 83 6.0e-08 1.1e-04 3.8e-06 1.01e+00 1.670957949e+02 1.670959378e+02 3.1e-11 114.23 84 5.4e-08 1.0e-04 3.4e-06 1.01e+00 1.670958046e+02 1.670959327e+02 2.8e-11 115.79 85 4.9e-08 9.2e-05 3.1e-06 1.00e+00 1.670958131e+02 1.670959282e+02 2.5e-11 117.17 86 4.4e-08 8.3e-05 2.8e-06 1.00e+00 1.670958207e+02 1.670959243e+02 2.3e-11 118.25 87 4.0e-08 7.5e-05 2.5e-06 1.01e+00 1.670958279e+02 1.670959205e+02 2.1e-11 118.83 88 3.6e-08 6.7e-05 2.2e-06 9.95e-01 1.670958340e+02 1.670959174e+02 1.9e-11 120.24 89 3.2e-08 6.1e-05 2.0e-06 9.92e-01 1.670958395e+02 1.670959145e+02 1.7e-11 121.89 90 2.9e-08 5.5e-05 1.8e-06 1.01e+00 1.670958445e+02 1.670959119e+02 1.5e-11 123.28 91 2.6e-08 4.9e-05 1.6e-06 1.00e+00 1.670958490e+02 1.670959096e+02 1.4e-11 124.84 92 2.3e-08 4.4e-05 1.5e-06 1.00e+00 1.670958530e+02 1.670959075e+02 1.2e-11 125.55 93 2.1e-08 4.0e-05 1.3e-06 1.00e+00 1.670958566e+02 1.670959056e+02 1.1e-11 125.62 94 1.9e-08 3.6e-05 1.2e-06 1.00e+00 1.670958599e+02 1.670959040e+02 1.0e-11 125.97 95 1.7e-08 3.2e-05 1.1e-06 9.56e-01 1.670958627e+02 1.670959025e+02 9.0e-12 126.37 96 1.5e-08 2.9e-05 9.7e-07 9.96e-01 1.670958654e+02 1.670959012e+02 8.1e-12 126.98 Interior-point optimizer terminated. Time: 126.98. Optimizer terminated. Time: 127.00 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6709586536e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 1.6709590116e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 127 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.287223705e+05 2.000000000e+00 1.0e+00 0.05 1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.265745929e+05 3.573317454e+00 4.8e-01 0.93 2 4.3e+02 5.6e+02 2.4e+04 -9.37e-01 -1.205266018e+05 1.002388290e+01 1.9e-01 2.32 3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157999164e+05 6.118615241e+01 1.3e-01 3.59 4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.131568685e+05 2.298842638e+03 1.3e-01 4.70 5 7.4e+01 9.6e+01 4.1e+03 -7.54e-01 -7.427119335e+04 1.000770251e+04 3.3e-02 5.64 6 3.6e+01 4.7e+01 2.0e+03 -1.87e-01 -4.714062450e+04 1.036919371e+04 1.6e-02 7.00 7 2.2e+01 2.9e+01 1.2e+03 2.79e-01 -3.264250338e+04 7.165529608e+03 9.8e-03 7.79 8 1.3e+01 1.7e+01 7.5e+02 5.38e-01 -2.123253853e+04 4.817407718e+03 5.9e-03 9.06 9 5.2e+00 6.8e+00 2.9e+02 7.25e-01 -8.608897074e+03 2.403436650e+03 2.3e-03 9.80 10 2.4e+00 3.1e+00 1.3e+02 9.15e-01 -3.702531265e+03 1.407876280e+03 1.1e-03 11.05 11 1.7e+00 2.2e+00 9.6e+01 9.76e-01 -2.640529607e+03 1.068041828e+03 7.7e-04 12.29 12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.192522981e+03 6.082810923e+02 3.7e-04 13.45 13 7.5e-01 1.1e+00 4.2e+01 9.49e-01 -1.099905998e+03 5.664569484e+02 3.4e-04 14.19 14 6.1e-01 9.0e-01 3.4e+01 9.87e-01 -8.367768686e+02 5.022533715e+02 2.7e-04 14.62 15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.546875594e+02 2.532175653e+02 8.3e-05 15.67 16 1.0e-01 1.9e-01 6.0e+00 1.01e+00 -2.103454967e+01 2.119245810e+02 4.8e-05 16.53 17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.941548782e+01 2.121451940e+02 4.8e-05 17.49 18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.322101787e+01 2.124336094e+02 4.1e-05 18.92 19 3.5e-02 9.9e-02 2.0e+00 1.01e+00 1.052518755e+02 1.836765012e+02 1.6e-05 20.56 20 1.0e-02 1.8e-01 6.0e-01 1.01e+00 1.495204312e+02 1.727015205e+02 4.9e-06 21.53 21 3.2e-03 1.8e-01 1.9e-01 1.01e+00 1.611601146e+02 1.684674262e+02 1.5e-06 22.88 22 1.2e-03 1.2e-01 7.6e-02 1.01e+00 1.645374376e+02 1.674168162e+02 6.2e-07 23.77 23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.655940429e+02 1.670420234e+02 3.1e-07 25.33 24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662269494e+02 1.668061745e+02 1.3e-07 26.04 25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662726823e+02 1.667938398e+02 1.1e-07 26.98 26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663097021e+02 1.667786074e+02 1.0e-07 27.89 27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663431683e+02 1.667650708e+02 9.2e-08 28.42 28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663731629e+02 1.667527841e+02 8.3e-08 29.66 29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664000969e+02 1.667416819e+02 7.5e-08 30.52 30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664242768e+02 1.667316433e+02 6.7e-08 31.75 31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664459870e+02 1.667225684e+02 6.1e-08 33.29 32 1.0e-04 4.2e-02 6.6e-03 1.00e+00 1.664654808e+02 1.667143650e+02 5.4e-08 34.39 33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664829853e+02 1.667069499e+02 4.9e-08 35.71 34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664987045e+02 1.667002476e+02 4.4e-08 36.62 35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665128210e+02 1.666941899e+02 4.0e-08 37.10 36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665254988e+02 1.666887149e+02 3.6e-08 38.02 37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665368850e+02 1.666837669e+02 3.2e-08 38.97 38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665471117e+02 1.666792954e+02 2.9e-08 39.94 39 5.0e-05 2.4e-02 3.2e-03 1.00e+00 1.665562973e+02 1.666752548e+02 2.6e-08 41.31 40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665645482e+02 1.666716038e+02 2.3e-08 41.85 41 4.0e-05 2.1e-02 2.6e-03 1.00e+00 1.665719600e+02 1.666683052e+02 2.1e-08 41.90 42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665786183e+02 1.666653253e+02 1.9e-08 42.77 43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665846000e+02 1.666626334e+02 1.7e-08 43.69 44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665899743e+02 1.666602021e+02 1.5e-08 44.16 45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665948030e+02 1.666580064e+02 1.4e-08 45.35 46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665991419e+02 1.666560237e+02 1.2e-08 46.20 47 2.1e-05 1.5e-02 1.4e-03 1.00e+00 1.666030408e+02 1.666542334e+02 1.1e-08 47.11 48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666065445e+02 1.666526172e+02 1.0e-08 48.14 49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666096934e+02 1.666511583e+02 9.1e-09 49.70 50 1.6e-05 1.3e-02 9.9e-04 1.00e+00 1.666125235e+02 1.666498416e+02 8.2e-09 50.60 51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666150673e+02 1.666486533e+02 7.4e-09 52.03 52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666173539e+02 1.666475812e+02 6.6e-09 52.74 53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666194093e+02 1.666466138e+02 6.0e-09 54.39 54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666212571e+02 1.666457412e+02 5.4e-09 55.32 55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666229184e+02 1.666449540e+02 4.8e-09 56.87 56 8.3e-06 1.1e-02 5.3e-04 1.00e+00 1.666244120e+02 1.666442440e+02 4.4e-09 57.79 57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666257548e+02 1.666436038e+02 3.9e-09 58.93 58 6.7e-06 1.0e-02 4.3e-04 1.00e+00 1.666269623e+02 1.666430264e+02 3.5e-09 59.47 59 6.1e-06 1.0e-02 3.8e-04 1.00e+00 1.666280481e+02 1.666425058e+02 3.2e-09 60.96 60 5.5e-06 9.9e-03 3.5e-04 1.00e+00 1.666290244e+02 1.666420364e+02 2.9e-09 61.69 61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299023e+02 1.666416132e+02 2.6e-09 62.10 62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666306917e+02 1.666412316e+02 2.3e-09 63.35 63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314016e+02 1.666408876e+02 2.1e-09 63.92 64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320399e+02 1.666405774e+02 1.9e-09 64.54 65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326139e+02 1.666402977e+02 1.7e-09 66.16 66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331301e+02 1.666400455e+02 1.5e-09 67.29 67 2.6e-06 9.0e-03 1.7e-04 1.00e+00 1.666335942e+02 1.666398182e+02 1.4e-09 67.98 68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340117e+02 1.666396132e+02 1.2e-09 69.03 69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666343872e+02 1.666394286e+02 1.1e-09 69.10 70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347248e+02 1.666392622e+02 1.0e-09 69.92 71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350286e+02 1.666391123e+02 9.0e-10 70.43 72 1.5e-06 8.6e-03 9.8e-05 1.00e+00 1.666353018e+02 1.666389771e+02 8.1e-10 71.33 73 1.4e-06 8.5e-03 8.8e-05 1.00e+00 1.666355476e+02 1.666388554e+02 7.3e-10 71.86 74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357686e+02 1.666387457e+02 6.5e-10 73.49 75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359674e+02 1.666386468e+02 5.9e-10 75.07 76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361462e+02 1.666385576e+02 5.3e-10 76.87 77 9.1e-07 8.3e-03 5.8e-05 1.00e+00 1.666363071e+02 1.666384773e+02 4.8e-10 78.95 78 8.2e-07 8.3e-03 5.2e-05 9.99e-01 1.666364517e+02 1.666384050e+02 4.3e-10 80.15 79 7.4e-07 8.3e-03 4.7e-05 1.00e+00 1.666365818e+02 1.666383397e+02 3.9e-10 81.34 80 6.6e-07 8.2e-03 4.2e-05 9.99e-01 1.666366987e+02 1.666382810e+02 3.5e-10 81.83 81 6.0e-07 8.2e-03 3.8e-05 9.99e-01 1.666368039e+02 1.666382280e+02 3.1e-10 82.46 82 5.4e-07 8.2e-03 3.4e-05 9.99e-01 1.666368985e+02 1.666381803e+02 2.8e-10 82.74 83 4.8e-07 8.1e-03 3.1e-05 1.00e+00 1.666369836e+02 1.666381371e+02 2.5e-10 83.49 84 4.3e-07 8.1e-03 2.8e-05 1.00e+00 1.666370601e+02 1.666380982e+02 2.3e-10 84.55 85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371288e+02 1.666380632e+02 2.1e-10 85.72 86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371907e+02 1.666380316e+02 1.8e-10 86.66 87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372463e+02 1.666380031e+02 1.7e-10 88.41 88 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.666372964e+02 1.666379774e+02 1.5e-10 89.39 89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373414e+02 1.666379543e+02 1.3e-10 90.92 90 2.3e-07 8.0e-03 1.5e-05 9.98e-01 1.666373819e+02 1.666379335e+02 1.2e-10 92.67 91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374183e+02 1.666379148e+02 1.1e-10 94.75 92 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.666374510e+02 1.666378979e+02 9.8e-11 96.13 93 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.666374805e+02 1.666378827e+02 8.8e-11 97.92 94 1.5e-07 7.9e-03 9.6e-06 9.99e-01 1.666375070e+02 1.666378690e+02 8.0e-11 99.92 95 1.4e-07 7.9e-03 8.6e-06 9.97e-01 1.666375309e+02 1.666378567e+02 7.2e-11 100.84 96 1.2e-07 7.8e-03 7.8e-06 1.00e+00 1.666375524e+02 1.666378456e+02 6.5e-11 102.50 97 1.1e-07 7.8e-03 7.0e-06 9.99e-01 1.666375717e+02 1.666378356e+02 5.8e-11 103.08 98 9.9e-08 7.8e-03 6.3e-06 9.98e-01 1.666375891e+02 1.666378266e+02 5.2e-11 104.25 99 9.0e-08 7.8e-03 5.7e-06 9.97e-01 1.666376047e+02 1.666378186e+02 4.7e-11 105.36 100 8.1e-08 7.8e-03 5.1e-06 1.00e+00 1.666376188e+02 1.666378113e+02 4.2e-11 107.85 101 7.3e-08 7.7e-03 4.6e-06 9.92e-01 1.666376315e+02 1.666378047e+02 3.8e-11 108.98 102 6.5e-08 6.9e-03 4.1e-06 1.00e+00 1.666376429e+02 1.666377988e+02 3.4e-11 110.02 103 5.9e-08 6.3e-03 3.7e-06 1.01e+00 1.666376535e+02 1.666377933e+02 3.1e-11 111.87 104 5.3e-08 5.6e-03 3.4e-06 9.92e-01 1.666376627e+02 1.666377885e+02 2.8e-11 113.46 105 4.8e-08 5.1e-03 3.0e-06 1.00e+00 1.666376710e+02 1.666377842e+02 2.5e-11 114.42 106 4.3e-08 4.6e-03 2.7e-06 1.00e+00 1.666376785e+02 1.666377803e+02 2.3e-11 116.41 107 3.9e-08 4.1e-03 2.4e-06 9.93e-01 1.666376852e+02 1.666377769e+02 2.0e-11 117.63 108 3.5e-08 3.7e-03 2.2e-06 9.89e-01 1.666376912e+02 1.666377738e+02 1.8e-11 118.78 109 3.1e-08 3.3e-03 2.0e-06 1.03e+00 1.666376972e+02 1.666377706e+02 1.7e-11 120.47 110 2.8e-08 3.0e-03 1.8e-06 9.99e-01 1.666377021e+02 1.666377681e+02 1.5e-11 121.22 111 2.5e-08 2.7e-03 1.6e-06 9.84e-01 1.666377064e+02 1.666377659e+02 1.3e-11 122.93 112 2.3e-08 2.4e-03 1.4e-06 1.01e+00 1.666377104e+02 1.666377637e+02 1.2e-11 123.52 113 2.0e-08 2.2e-03 1.3e-06 1.00e+00 1.666377139e+02 1.666377619e+02 1.1e-11 125.14 114 1.8e-08 2.0e-03 1.2e-06 9.93e-01 1.666377171e+02 1.666377603e+02 9.9e-12 126.71 115 1.7e-08 1.8e-03 1.1e-06 1.01e+00 1.666377200e+02 1.666377588e+02 8.9e-12 127.64 116 1.5e-08 1.6e-03 9.5e-07 1.04e+00 1.666377231e+02 1.666377571e+02 8.2e-12 128.03 117 1.3e-08 1.4e-03 8.5e-07 1.05e+00 1.666377259e+02 1.666377556e+02 7.6e-12 129.89 118 1.2e-08 1.3e-03 7.7e-07 1.03e+00 1.666377281e+02 1.666377544e+02 6.9e-12 131.92 119 1.1e-08 1.2e-03 6.9e-07 9.31e-01 1.666377299e+02 1.666377536e+02 6.2e-12 132.59 120 9.8e-09 1.0e-03 6.2e-07 9.50e-01 1.666377314e+02 1.666377528e+02 5.6e-12 134.48 121 8.8e-09 9.4e-04 5.6e-07 1.01e+00 1.666377329e+02 1.666377520e+02 5.1e-12 135.85 122 8.0e-09 8.4e-04 5.0e-07 9.84e-01 1.666377341e+02 1.666377514e+02 4.6e-12 137.14 123 7.2e-09 7.6e-04 4.5e-07 9.92e-01 1.666377353e+02 1.666377508e+02 4.1e-12 138.95 124 6.5e-09 6.8e-04 4.1e-07 9.77e-01 1.666377363e+02 1.666377503e+02 3.7e-12 139.30 125 5.8e-09 6.2e-04 3.7e-07 9.27e-01 1.666377372e+02 1.666377499e+02 3.3e-12 141.15 126 5.2e-09 5.5e-04 3.3e-07 1.04e+00 1.666377382e+02 1.666377493e+02 3.1e-12 142.72 127 4.7e-09 5.0e-04 3.0e-07 9.91e-01 1.666377389e+02 1.666377490e+02 2.8e-12 144.59 128 2.2e-09 2.8e-05 1.7e-08 9.20e-01 1.666377453e+02 1.666377459e+02 2.5e-13 146.04 Interior-point optimizer terminated. Time: 146.05. Optimizer terminated. Time: 146.06 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6663774527e+02 Viol. con: 5e-08 var: 0e+00 Dual. obj: 1.6663774587e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 146 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.04 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286831196e+05 2.000000000e+00 1.0e+00 0.05 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265334260e+05 3.567088613e+00 4.8e-01 1.83 2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203833946e+05 1.011405076e+01 1.9e-01 3.48 3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.157187274e+05 6.273739739e+01 1.3e-01 5.12 4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130228179e+05 2.338221055e+03 1.3e-01 7.10 5 7.3e+01 9.4e+01 4.1e+03 -7.53e-01 -7.357938725e+04 1.002317546e+04 3.2e-02 7.72 6 3.6e+01 4.6e+01 2.0e+03 -1.77e-01 -4.627009180e+04 1.019622046e+04 1.6e-02 9.08 7 2.1e+01 2.7e+01 1.2e+03 2.94e-01 -3.070495064e+04 6.914883300e+03 9.1e-03 10.90 8 1.2e+01 1.6e+01 6.7e+02 5.70e-01 -1.915340950e+04 4.482150092e+03 5.3e-03 12.18 9 4.6e+00 6.0e+00 2.6e+02 7.58e-01 -7.553473332e+03 2.153730008e+03 2.0e-03 14.25 10 2.2e+00 2.9e+00 1.2e+02 9.29e-01 -3.373467723e+03 1.376803551e+03 9.8e-04 15.79 11 1.5e+00 1.9e+00 8.3e+01 9.78e-01 -2.235740514e+03 9.646770282e+02 6.6e-04 16.75 12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.232394448e+03 6.312351977e+02 3.8e-04 18.55 13 7.4e-01 1.0e+00 4.2e+01 9.55e-01 -1.072948723e+03 5.641437947e+02 3.3e-04 20.00 14 5.4e-01 7.4e-01 3.1e+01 9.87e-01 -7.296367634e+02 4.692330332e+02 2.4e-04 21.26 15 1.7e-01 2.5e-01 9.5e+00 9.92e-01 -1.273612145e+02 2.445747298e+02 7.6e-05 22.98 16 9.5e-02 1.6e-01 5.5e+00 1.01e+00 -7.083289213e+00 2.069367783e+02 4.4e-05 23.53 17 9.5e-02 1.5e-01 5.4e+00 1.02e+00 -5.471019625e+00 2.070291171e+02 4.4e-05 23.62 18 8.5e-02 1.4e-01 4.9e+00 1.02e+00 1.652814639e+01 2.075259985e+02 4.0e-05 25.22 19 4.8e-02 8.5e-02 2.8e+00 1.02e+00 8.250600777e+01 1.894233385e+02 2.2e-05 26.84 20 1.7e-02 8.5e-02 9.7e-01 1.02e+00 1.380122112e+02 1.751271588e+02 7.8e-06 28.02 21 4.4e-03 2.2e-01 2.6e-01 1.01e+00 1.592043729e+02 1.692781059e+02 2.1e-06 29.68 22 3.1e-03 2.4e-01 1.9e-01 1.00e+00 1.612881848e+02 1.684035292e+02 1.5e-06 30.33 23 1.1e-03 1.4e-01 7.0e-02 1.00e+00 1.646186804e+02 1.672796688e+02 5.6e-07 32.05 24 8.8e-04 1.1e-01 5.3e-02 9.94e-01 1.650702647e+02 1.671014642e+02 4.3e-07 32.77 25 3.7e-04 8.4e-02 2.3e-02 9.84e-01 1.659153384e+02 1.667827902e+02 1.9e-07 34.17 26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661933283e+02 1.666719228e+02 1.0e-07 34.89 27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662781577e+02 1.666422094e+02 7.9e-08 36.56 28 1.4e-04 5.8e-02 8.6e-03 1.01e+00 1.663050767e+02 1.666325455e+02 7.1e-08 38.31 29 1.2e-04 5.3e-02 7.8e-03 1.01e+00 1.663278684e+02 1.666225223e+02 6.4e-08 40.32 30 1.1e-04 4.8e-02 7.0e-03 1.01e+00 1.663485675e+02 1.666137065e+02 5.7e-08 41.86 31 1.0e-04 4.4e-02 6.3e-03 1.01e+00 1.663671041e+02 1.666056889e+02 5.2e-08 43.73 32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663837454e+02 1.665984390e+02 4.6e-08 45.50 33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663986786e+02 1.665918767e+02 4.2e-08 47.35 34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664120818e+02 1.665859391e+02 3.8e-08 48.66 35 6.6e-05 3.1e-02 4.1e-03 1.00e+00 1.664241128e+02 1.665805677e+02 3.4e-08 50.28 36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349134e+02 1.665757096e+02 3.1e-08 52.24 37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446104e+02 1.665713166e+02 2.7e-08 54.06 38 4.8e-05 2.5e-02 3.0e-03 1.00e+00 1.664533177e+02 1.665673451e+02 2.5e-08 55.35 39 4.3e-05 2.3e-02 2.7e-03 1.00e+00 1.664611369e+02 1.665637553e+02 2.2e-08 56.21 40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664681594e+02 1.665605112e+02 2.0e-08 57.39 41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664744671e+02 1.665575799e+02 1.8e-08 57.67 42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801331e+02 1.665549318e+02 1.6e-08 59.31 43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852233e+02 1.665525400e+02 1.5e-08 60.99 44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664897966e+02 1.665503801e+02 1.3e-08 62.70 45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939058e+02 1.665484299e+02 1.2e-08 63.73 46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664975986e+02 1.665466694e+02 1.1e-08 65.50 47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009173e+02 1.665450805e+02 9.6e-09 66.64 48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039001e+02 1.665436467e+02 8.6e-09 68.23 49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065814e+02 1.665423532e+02 7.8e-09 70.09 50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665089920e+02 1.665411864e+02 7.0e-09 71.22 51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111592e+02 1.665401342e+02 6.3e-09 71.31 52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131080e+02 1.665391856e+02 5.7e-09 73.19 53 9.9e-06 1.1e-02 6.2e-04 1.00e+00 1.665148605e+02 1.665383304e+02 5.1e-09 74.73 54 8.9e-06 1.1e-02 5.6e-04 1.00e+00 1.665164366e+02 1.665375596e+02 4.6e-09 75.70 55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178541e+02 1.665368649e+02 4.1e-09 77.32 56 7.2e-06 1.0e-02 4.5e-04 1.00e+00 1.665191291e+02 1.665362390e+02 3.7e-09 78.92 57 6.5e-06 1.0e-02 4.1e-04 1.00e+00 1.665202760e+02 1.665356750e+02 3.3e-09 79.94 58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213076e+02 1.665351669e+02 3.0e-09 81.88 59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222356e+02 1.665347091e+02 2.7e-09 82.47 60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230704e+02 1.665342966e+02 2.4e-09 84.39 61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238213e+02 1.665339251e+02 2.2e-09 86.08 62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665244968e+02 1.665335902e+02 2.0e-09 87.00 63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251043e+02 1.665332885e+02 1.8e-09 88.82 64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256507e+02 1.665330166e+02 1.6e-09 90.67 65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261422e+02 1.665327716e+02 1.4e-09 91.56 66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265843e+02 1.665325508e+02 1.3e-09 93.53 67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269820e+02 1.665323519e+02 1.2e-09 95.04 68 2.0e-06 8.7e-03 1.3e-04 1.00e+00 1.665273398e+02 1.665321728e+02 1.1e-09 96.80 69 1.8e-06 8.6e-03 1.2e-04 1.00e+00 1.665276617e+02 1.665320114e+02 9.5e-10 98.50 70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279512e+02 1.665318660e+02 8.5e-10 99.84 71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282117e+02 1.665317351e+02 7.7e-10 100.59 72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284461e+02 1.665316171e+02 6.9e-10 102.05 73 1.2e-06 8.4e-03 7.5e-05 1.00e+00 1.665286569e+02 1.665315109e+02 6.2e-10 103.23 74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288465e+02 1.665314151e+02 5.6e-10 104.50 75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290171e+02 1.665313289e+02 5.0e-10 106.08 76 8.8e-07 8.3e-03 5.5e-05 1.00e+00 1.665291706e+02 1.665312512e+02 4.5e-10 107.31 77 7.9e-07 8.2e-03 5.0e-05 9.99e-01 1.665293086e+02 1.665311812e+02 4.1e-10 108.94 78 7.1e-07 8.2e-03 4.5e-05 1.00e+00 1.665294327e+02 1.665311181e+02 3.7e-10 109.63 79 6.4e-07 8.2e-03 4.0e-05 9.99e-01 1.665295443e+02 1.665310613e+02 3.3e-10 111.13 80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296447e+02 1.665310100e+02 3.0e-10 111.94 81 5.2e-07 8.1e-03 3.2e-05 9.99e-01 1.665297350e+02 1.665309639e+02 2.7e-10 113.15 82 4.7e-07 8.1e-03 2.9e-05 9.99e-01 1.665298162e+02 1.665309222e+02 2.4e-10 114.58 83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298892e+02 1.665308846e+02 2.2e-10 115.82 84 3.8e-07 8.0e-03 2.4e-05 9.98e-01 1.665299549e+02 1.665308508e+02 1.9e-10 116.60 85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300140e+02 1.665308203e+02 1.8e-10 117.97 86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300671e+02 1.665307928e+02 1.6e-10 118.75 87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301149e+02 1.665307680e+02 1.4e-10 119.90 88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301578e+02 1.665307456e+02 1.3e-10 121.48 89 2.2e-07 7.9e-03 1.4e-05 1.00e+00 1.665301965e+02 1.665307255e+02 1.2e-10 122.96 90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302313e+02 1.665307073e+02 1.0e-10 123.23 91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302626e+02 1.665306910e+02 9.3e-11 124.34 92 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.665302907e+02 1.665306763e+02 8.4e-11 124.92 93 1.5e-07 7.9e-03 9.2e-06 9.95e-01 1.665303160e+02 1.665306631e+02 7.5e-11 125.50 94 1.3e-07 7.9e-03 8.3e-06 1.00e+00 1.665303388e+02 1.665306511e+02 6.8e-11 127.11 95 1.2e-07 7.8e-03 7.4e-06 1.00e+00 1.665303594e+02 1.665306403e+02 6.1e-11 128.47 96 1.1e-07 7.8e-03 6.7e-06 9.99e-01 1.665303778e+02 1.665306307e+02 5.5e-11 129.77 97 9.6e-08 7.0e-03 6.0e-06 1.01e+00 1.665303946e+02 1.665306219e+02 5.0e-11 131.39 98 8.7e-08 6.3e-03 5.4e-06 9.97e-01 1.665304095e+02 1.665306141e+02 4.5e-11 132.52 99 7.8e-08 5.7e-03 4.9e-06 1.01e+00 1.665304235e+02 1.665306066e+02 4.0e-11 134.03 100 7.0e-08 5.1e-03 4.4e-06 1.00e+00 1.665304355e+02 1.665306004e+02 3.6e-11 134.58 101 6.3e-08 4.6e-03 4.0e-06 9.96e-01 1.665304463e+02 1.665305947e+02 3.3e-11 136.43 102 5.7e-08 4.2e-03 3.6e-06 1.02e+00 1.665304568e+02 1.665305891e+02 3.0e-11 137.69 103 5.1e-08 3.7e-03 3.2e-06 1.01e+00 1.665304659e+02 1.665305843e+02 2.7e-11 139.12 104 4.6e-08 3.4e-03 2.9e-06 9.84e-01 1.665304737e+02 1.665305803e+02 2.4e-11 139.78 105 4.2e-08 3.0e-03 2.6e-06 9.89e-01 1.665304806e+02 1.665305767e+02 2.2e-11 140.73 106 3.7e-08 2.7e-03 2.3e-06 1.05e+00 1.665304883e+02 1.665305725e+02 2.0e-11 142.29 107 3.4e-08 2.5e-03 2.1e-06 9.95e-01 1.665304939e+02 1.665305696e+02 1.8e-11 143.94 108 3.0e-08 2.2e-03 1.9e-06 1.01e+00 1.665304990e+02 1.665305669e+02 1.6e-11 145.68 109 2.7e-08 2.0e-03 1.7e-06 1.00e+00 1.665305035e+02 1.665305646e+02 1.5e-11 147.13 110 2.5e-08 1.8e-03 1.5e-06 9.86e-01 1.665305075e+02 1.665305625e+02 1.3e-11 148.96 111 2.2e-08 1.6e-03 1.4e-06 1.02e+00 1.665305115e+02 1.665305604e+02 1.2e-11 150.60 112 2.0e-08 1.4e-03 1.2e-06 1.06e+00 1.665305156e+02 1.665305581e+02 1.1e-11 151.86 113 1.8e-08 1.3e-03 1.1e-06 1.03e+00 1.665305188e+02 1.665305564e+02 1.0e-11 153.51 114 1.6e-08 1.2e-03 1.0e-06 1.05e+00 1.665305218e+02 1.665305548e+02 9.4e-12 154.60 115 1.5e-08 1.1e-03 9.0e-07 1.05e+00 1.665305245e+02 1.665305534e+02 8.6e-12 154.93 116 1.3e-08 9.5e-04 8.1e-07 1.03e+00 1.665305266e+02 1.665305523e+02 7.9e-12 156.51 117 1.2e-08 8.6e-04 7.3e-07 9.32e-01 1.665305283e+02 1.665305515e+02 7.1e-12 157.94 118 1.1e-08 7.7e-04 6.6e-07 9.48e-01 1.665305298e+02 1.665305507e+02 6.4e-12 159.13 119 9.6e-09 6.9e-04 5.9e-07 9.63e-01 1.665305312e+02 1.665305501e+02 5.7e-12 160.46 120 8.6e-09 6.2e-04 5.3e-07 1.09e+00 1.665305330e+02 1.665305491e+02 5.4e-12 161.90 121 7.9e-09 5.6e-04 4.8e-07 9.35e-01 1.665305340e+02 1.665305486e+02 4.9e-12 163.18 122 7.1e-09 5.1e-04 4.3e-07 9.78e-01 1.665305350e+02 1.665305481e+02 4.4e-12 164.02 123 6.4e-09 4.6e-04 3.9e-07 9.94e-01 1.665305359e+02 1.665305477e+02 3.9e-12 165.36 124 5.9e-09 4.1e-04 3.5e-07 1.10e+00 1.665305370e+02 1.665305470e+02 3.7e-12 166.29 125 5.4e-09 3.7e-04 3.2e-07 1.31e+00 1.665305377e+02 1.665305466e+02 3.3e-12 166.33 126 5.0e-09 3.3e-04 2.8e-07 1.05e+00 1.665305384e+02 1.665305462e+02 3.1e-12 168.12 127 4.5e-09 3.0e-04 2.6e-07 9.38e-01 1.665305389e+02 1.665305460e+02 2.8e-12 169.60 128 5.7e-09 3.3e-05 2.8e-08 8.39e-01 1.665305433e+02 1.665305441e+02 4.7e-13 170.97 Interior-point optimizer terminated. Time: 170.98. Optimizer terminated. Time: 170.99 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6653054329e+02 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6653054412e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 171 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3454 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.04 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.03 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286794248e+05 2.000000000e+00 1.0e+00 0.06 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265193149e+05 3.562468550e+00 4.8e-01 0.29 2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203206540e+05 1.018342361e+01 1.9e-01 1.73 3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.156409026e+05 6.364072673e+01 1.2e-01 2.75 4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129715074e+05 2.317182997e+03 1.2e-01 3.97 5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.449856374e+04 9.815537545e+03 3.3e-02 5.74 6 3.3e+01 4.2e+01 1.8e+03 -1.91e-01 -4.334740987e+04 1.041511817e+04 1.4e-02 6.98 7 1.9e+01 2.5e+01 1.1e+03 3.44e-01 -2.849532532e+04 6.964167102e+03 8.4e-03 8.50 8 1.1e+01 1.5e+01 6.3e+02 6.08e-01 -1.796446223e+04 4.391097069e+03 5.0e-03 10.41 9 4.5e+00 5.8e+00 2.5e+02 7.77e-01 -7.324427819e+03 2.111342906e+03 2.0e-03 11.87 10 2.1e+00 2.6e+00 1.1e+02 9.31e-01 -3.116028109e+03 1.308109091e+03 9.1e-04 13.25 11 1.3e+00 1.6e+00 7.2e+01 9.82e-01 -1.904933781e+03 8.676114277e+02 5.7e-04 15.24 12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.145114399e+03 6.061133398e+02 3.6e-04 16.87 13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.108494370e+02 4.776002806e+02 2.6e-04 18.50 14 4.0e-01 5.4e-01 2.2e+01 9.99e-01 -4.813728622e+02 3.973575761e+02 1.8e-04 20.11 15 1.7e-01 2.4e-01 9.8e+00 9.93e-01 -1.314067968e+02 2.544914513e+02 7.9e-05 20.62 16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.014710459e+01 2.046682205e+02 4.0e-05 22.30 17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.170084188e+01 2.038221579e+02 3.6e-05 22.88 18 3.2e-02 7.2e-02 1.9e+00 1.02e+00 1.106137638e+02 1.821201836e+02 1.5e-05 24.01 19 9.1e-03 1.4e-01 5.3e-01 1.02e+00 1.512914559e+02 1.716165423e+02 4.2e-06 25.41 20 3.0e-03 1.1e-01 1.8e-01 1.01e+00 1.615015166e+02 1.682158316e+02 1.4e-06 26.81 21 1.9e-03 8.3e-02 1.1e-01 1.01e+00 1.633655822e+02 1.676010550e+02 8.9e-07 28.11 22 5.4e-04 1.3e-01 3.4e-02 1.01e+00 1.655623317e+02 1.668426363e+02 2.7e-07 29.55 23 3.8e-04 1.1e-01 2.4e-02 9.97e-01 1.658394353e+02 1.667324409e+02 1.9e-07 31.17 24 2.2e-04 7.7e-02 1.4e-02 9.83e-01 1.661128183e+02 1.666263504e+02 1.1e-07 32.69 25 1.7e-04 6.2e-02 1.1e-02 1.00e+00 1.661870209e+02 1.666019864e+02 9.0e-08 34.48 26 1.6e-04 5.7e-02 9.8e-03 1.01e+00 1.662170356e+02 1.665903152e+02 8.1e-08 35.53 27 1.4e-04 5.2e-02 8.8e-03 1.01e+00 1.662433210e+02 1.665791613e+02 7.3e-08 36.80 28 1.3e-04 4.8e-02 8.0e-03 1.01e+00 1.662670822e+02 1.665692705e+02 6.6e-08 38.00 29 1.1e-04 4.4e-02 7.2e-03 1.01e+00 1.662883758e+02 1.665602895e+02 5.9e-08 38.69 30 1.0e-04 4.0e-02 6.4e-03 1.01e+00 1.663074871e+02 1.665521643e+02 5.3e-08 39.11 31 9.3e-05 3.7e-02 5.8e-03 1.01e+00 1.663246357e+02 1.665448085e+02 4.8e-08 40.77 32 8.3e-05 3.4e-02 5.2e-03 1.01e+00 1.663400246e+02 1.665381506e+02 4.3e-08 42.16 33 7.5e-05 3.1e-02 4.7e-03 1.00e+00 1.663538347e+02 1.665321243e+02 3.9e-08 43.24 34 6.8e-05 2.9e-02 4.2e-03 1.00e+00 1.663662288e+02 1.665266703e+02 3.5e-08 43.26 35 6.1e-05 2.7e-02 3.8e-03 1.00e+00 1.663773530e+02 1.665217350e+02 3.1e-08 44.76 36 5.5e-05 2.5e-02 3.4e-03 1.00e+00 1.663873383e+02 1.665172700e+02 2.8e-08 46.34 37 4.9e-05 2.3e-02 3.1e-03 1.00e+00 1.663963024e+02 1.665132312e+02 2.5e-08 47.94 38 4.4e-05 2.2e-02 2.8e-03 1.00e+00 1.664043505e+02 1.665095788e+02 2.3e-08 49.31 39 4.0e-05 2.0e-02 2.5e-03 1.00e+00 1.664115771e+02 1.665062765e+02 2.1e-08 50.77 40 3.6e-05 1.9e-02 2.3e-03 1.00e+00 1.664180667e+02 1.665032915e+02 1.9e-08 52.24 41 3.2e-05 1.8e-02 2.0e-03 1.00e+00 1.664238952e+02 1.665005939e+02 1.7e-08 52.30 42 2.9e-05 1.7e-02 1.8e-03 1.00e+00 1.664291305e+02 1.664981565e+02 1.5e-08 52.47 43 2.6e-05 1.6e-02 1.6e-03 1.00e+00 1.664338334e+02 1.664959547e+02 1.4e-08 53.54 44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664380585e+02 1.664939661e+02 1.2e-08 55.03 45 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664418547e+02 1.664921703e+02 1.1e-08 56.55 46 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.664452659e+02 1.664905491e+02 9.9e-09 57.88 47 1.7e-05 1.3e-02 1.1e-03 1.00e+00 1.664483315e+02 1.664890857e+02 8.9e-09 58.98 48 1.5e-05 1.3e-02 9.7e-04 1.00e+00 1.664510866e+02 1.664877650e+02 8.0e-09 60.50 49 1.4e-05 1.2e-02 8.7e-04 1.00e+00 1.664535631e+02 1.664865734e+02 7.2e-09 61.76 50 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.664557892e+02 1.664854983e+02 6.5e-09 63.10 51 1.1e-05 1.1e-02 7.1e-04 1.00e+00 1.664577905e+02 1.664845286e+02 5.8e-09 63.69 52 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.664595898e+02 1.664836541e+02 5.3e-09 65.21 53 9.1e-06 1.1e-02 5.7e-04 1.00e+00 1.664612077e+02 1.664828656e+02 4.7e-09 66.31 54 8.2e-06 1.1e-02 5.2e-04 1.00e+00 1.664626626e+02 1.664821547e+02 4.3e-09 67.60 55 7.4e-06 1.0e-02 4.6e-04 1.00e+00 1.664639709e+02 1.664815140e+02 3.8e-09 69.23 56 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.664651476e+02 1.664809365e+02 3.4e-09 70.43 57 6.0e-06 9.8e-03 3.8e-04 1.00e+00 1.664662060e+02 1.664804160e+02 3.1e-09 71.87 58 5.4e-06 9.6e-03 3.4e-04 1.00e+00 1.664671580e+02 1.664799471e+02 2.8e-09 72.73 59 4.9e-06 9.4e-03 3.0e-04 1.00e+00 1.664680144e+02 1.664795246e+02 2.5e-09 74.15 60 4.4e-06 9.3e-03 2.7e-04 1.00e+00 1.664687847e+02 1.664791440e+02 2.3e-09 74.99 61 3.9e-06 9.1e-03 2.5e-04 1.00e+00 1.664694777e+02 1.664788012e+02 2.0e-09 76.65 62 3.5e-06 9.0e-03 2.2e-04 1.00e+00 1.664701010e+02 1.664784923e+02 1.8e-09 77.30 63 3.2e-06 8.9e-03 2.0e-04 1.00e+00 1.664706618e+02 1.664782140e+02 1.6e-09 78.80 64 2.9e-06 8.8e-03 1.8e-04 1.00e+00 1.664711662e+02 1.664779633e+02 1.5e-09 80.49 65 2.6e-06 8.7e-03 1.6e-04 1.00e+00 1.664716201e+02 1.664777375e+02 1.3e-09 82.04 66 2.3e-06 8.6e-03 1.5e-04 1.00e+00 1.664720285e+02 1.664775342e+02 1.2e-09 83.42 67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664723960e+02 1.664773512e+02 1.1e-09 85.07 68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664727267e+02 1.664771864e+02 9.7e-10 86.67 69 1.7e-06 8.4e-03 1.1e-04 1.00e+00 1.664730242e+02 1.664770381e+02 8.8e-10 88.35 70 1.5e-06 8.3e-03 9.6e-05 1.00e+00 1.664732920e+02 1.664769045e+02 7.9e-10 89.86 71 1.4e-06 8.2e-03 8.6e-05 1.00e+00 1.664735331e+02 1.664767843e+02 7.1e-10 91.70 72 1.2e-06 8.2e-03 7.7e-05 1.00e+00 1.664737499e+02 1.664766761e+02 6.4e-10 93.36 73 1.1e-06 8.1e-03 7.0e-05 1.00e+00 1.664739451e+02 1.664765786e+02 5.8e-10 94.78 74 1.0e-06 8.1e-03 6.3e-05 1.00e+00 1.664741208e+02 1.664764909e+02 5.2e-10 96.45 75 9.0e-07 8.0e-03 5.6e-05 1.00e+00 1.664742788e+02 1.664764120e+02 4.7e-10 97.53 76 8.1e-07 8.0e-03 5.1e-05 1.00e+00 1.664744210e+02 1.664763409e+02 4.2e-10 99.21 77 7.3e-07 8.0e-03 4.6e-05 1.00e+00 1.664745490e+02 1.664762769e+02 3.8e-10 100.38 78 6.6e-07 7.9e-03 4.1e-05 1.00e+00 1.664746641e+02 1.664762192e+02 3.4e-10 101.68 79 5.9e-07 7.9e-03 3.7e-05 1.00e+00 1.664747677e+02 1.664761673e+02 3.1e-10 103.30 80 5.3e-07 7.9e-03 3.3e-05 1.00e+00 1.664748609e+02 1.664761205e+02 2.8e-10 104.49 81 4.8e-07 7.8e-03 3.0e-05 1.00e+00 1.664749447e+02 1.664760783e+02 2.5e-10 106.10 82 4.3e-07 7.8e-03 2.7e-05 1.00e+00 1.664750201e+02 1.664760404e+02 2.2e-10 107.73 83 3.9e-07 7.8e-03 2.4e-05 1.00e+00 1.664750879e+02 1.664760062e+02 2.0e-10 108.88 84 3.5e-07 7.8e-03 2.2e-05 1.00e+00 1.664751489e+02 1.664759753e+02 1.8e-10 110.70 85 3.1e-07 7.8e-03 2.0e-05 1.00e+00 1.664752038e+02 1.664759476e+02 1.6e-10 111.35 86 2.8e-07 7.7e-03 1.8e-05 1.00e+00 1.664752532e+02 1.664759226e+02 1.5e-10 113.14 87 2.5e-07 7.7e-03 1.6e-05 1.00e+00 1.664752976e+02 1.664759000e+02 1.3e-10 113.72 88 2.3e-07 7.7e-03 1.4e-05 1.00e+00 1.664753376e+02 1.664758798e+02 1.2e-10 115.44 89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664753736e+02 1.664758615e+02 1.1e-10 117.08 90 1.9e-07 7.7e-03 1.2e-05 1.00e+00 1.664754059e+02 1.664758450e+02 9.6e-11 118.62 91 1.7e-07 7.7e-03 1.0e-05 1.00e+00 1.664754351e+02 1.664758302e+02 8.6e-11 120.10 92 1.5e-07 7.6e-03 9.4e-06 1.00e+00 1.664754613e+02 1.664758169e+02 7.8e-11 121.54 93 1.4e-07 7.6e-03 8.5e-06 1.00e+00 1.664754848e+02 1.664758049e+02 7.0e-11 122.32 94 1.2e-07 7.6e-03 7.6e-06 1.00e+00 1.664755060e+02 1.664757941e+02 6.3e-11 124.03 95 1.1e-07 7.6e-03 6.9e-06 1.00e+00 1.664755251e+02 1.664757843e+02 5.7e-11 125.00 96 9.8e-08 7.6e-03 6.2e-06 1.00e+00 1.664755423e+02 1.664757756e+02 5.1e-11 126.23 97 8.9e-08 7.6e-03 5.6e-06 9.92e-01 1.664755578e+02 1.664757678e+02 4.6e-11 127.10 98 8.0e-08 7.6e-03 5.0e-06 1.00e+00 1.664755717e+02 1.664757607e+02 4.1e-11 128.48 99 7.2e-08 7.5e-03 4.5e-06 1.00e+00 1.664755842e+02 1.664757543e+02 3.7e-11 129.66 100 6.5e-08 7.5e-03 4.1e-06 1.00e+00 1.664755955e+02 1.664757485e+02 3.3e-11 131.18 101 5.8e-08 7.5e-03 3.6e-06 9.97e-01 1.664756056e+02 1.664757434e+02 3.0e-11 132.05 102 5.2e-08 7.5e-03 3.3e-06 9.95e-01 1.664756147e+02 1.664757387e+02 2.7e-11 133.28 103 4.7e-08 7.5e-03 3.0e-06 9.99e-01 1.664756229e+02 1.664757346e+02 2.4e-11 135.04 104 4.2e-08 7.4e-03 2.7e-06 9.85e-01 1.664756303e+02 1.664757308e+02 2.2e-11 136.55 105 3.8e-08 7.4e-03 2.4e-06 9.95e-01 1.664756370e+02 1.664757275e+02 2.0e-11 137.27 106 3.4e-08 7.4e-03 2.2e-06 9.97e-01 1.664756429e+02 1.664757244e+02 1.8e-11 138.98 107 3.1e-08 7.4e-03 1.9e-06 9.92e-01 1.664756483e+02 1.664757217e+02 1.6e-11 140.73 108 2.8e-08 7.4e-03 1.7e-06 9.92e-01 1.664756532e+02 1.664757192e+02 1.4e-11 142.51 109 2.5e-08 7.4e-03 1.6e-06 9.97e-01 1.664756575e+02 1.664757170e+02 1.3e-11 143.83 110 2.3e-08 6.7e-03 1.4e-06 1.00e+00 1.664756615e+02 1.664757150e+02 1.2e-11 145.51 111 2.0e-08 6.0e-03 1.3e-06 9.87e-01 1.664756650e+02 1.664757132e+02 1.1e-11 146.41 112 1.8e-08 5.4e-03 1.1e-06 1.01e+00 1.664756684e+02 1.664757114e+02 9.5e-12 147.79 113 1.6e-08 4.8e-03 1.0e-06 1.01e+00 1.664756714e+02 1.664757099e+02 8.6e-12 149.14 114 1.5e-08 4.4e-03 9.3e-07 1.01e+00 1.664756740e+02 1.664757085e+02 7.8e-12 149.93 115 1.3e-08 3.9e-03 8.3e-07 1.03e+00 1.664756766e+02 1.664757072e+02 7.1e-12 151.05 116 1.2e-08 3.5e-03 7.5e-07 1.03e+00 1.664756789e+02 1.664757060e+02 6.5e-12 153.09 117 1.1e-08 3.2e-03 6.8e-07 1.02e+00 1.664756808e+02 1.664757050e+02 5.9e-12 154.68 118 9.7e-09 2.9e-03 6.1e-07 9.68e-01 1.664756824e+02 1.664757042e+02 5.3e-12 156.61 119 2.3e-09 3.2e-04 6.9e-08 1.02e+00 1.664756951e+02 1.664756976e+02 5.5e-13 156.85 Interior-point optimizer terminated. Time: 156.85. Optimizer terminated. Time: 156.86 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6647569513e+02 Viol. con: 5e-08 var: 0e+00 Dual. obj: 1.6647569756e+02 Viol. con: 0e+00 var: 2e-03 * End solution on dual form. * Transforming to primal solution. Solving took 157 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3453 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286082582e+05 2.000000000e+00 1.0e+00 0.05 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264455445e+05 3.561147612e+00 4.8e-01 1.87 2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202189364e+05 1.021577381e+01 1.8e-01 3.63 3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.155276031e+05 6.409885861e+01 1.2e-01 4.88 4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128745040e+05 2.305050100e+03 1.2e-01 6.15 5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.464877095e+04 9.750337787e+03 3.3e-02 7.52 6 3.0e+01 3.9e+01 1.7e+03 -1.94e-01 -4.061325889e+04 1.038313284e+04 1.3e-02 7.94 7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.711376300e+04 6.759406341e+03 8.0e-03 9.33 8 9.7e+00 1.3e+01 5.4e+02 6.31e-01 -1.563221718e+04 3.921992341e+03 4.3e-03 10.19 9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.377814101e+03 1.902956385e+03 1.7e-03 11.16 10 2.1e+00 2.7e+00 1.2e+02 9.42e-01 -3.277240964e+03 1.216027688e+03 9.3e-04 12.33 11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.515216215e+03 7.311986251e+02 4.6e-04 14.10 12 8.1e-01 1.0e+00 4.6e+01 9.78e-01 -1.187428812e+03 6.070207129e+02 3.6e-04 14.76 13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.492756525e+02 4.265917858e+02 2.2e-04 15.97 14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.813543649e+02 3.142397521e+02 1.2e-04 17.53 15 9.6e-02 1.5e-01 5.5e+00 1.00e+00 -8.234524561e+00 2.072939359e+02 4.4e-05 18.78 16 8.7e-02 1.3e-01 5.0e+00 1.02e+00 1.500550738e+01 2.092558596e+02 4.0e-05 20.21 17 5.9e-02 9.3e-02 3.4e+00 1.02e+00 6.336308485e+01 1.948922822e+02 2.7e-05 21.37 18 2.9e-02 7.0e-02 1.7e+00 1.02e+00 1.166825924e+02 1.805949426e+02 1.3e-05 21.57 19 8.2e-03 1.9e-01 4.8e-01 1.02e+00 1.531073278e+02 1.714055426e+02 3.8e-06 21.61 20 3.1e-03 2.2e-01 1.8e-01 1.01e+00 1.611498344e+02 1.681146000e+02 1.5e-06 21.65 21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633184122e+02 1.674979730e+02 8.9e-07 21.67 22 5.5e-04 1.3e-01 3.4e-02 1.01e+00 1.655217822e+02 1.668072411e+02 2.8e-07 22.75 23 4.0e-04 1.1e-01 2.5e-02 9.96e-01 1.657698715e+02 1.667104330e+02 2.1e-07 23.86 24 2.2e-04 7.8e-02 1.4e-02 9.85e-01 1.660774567e+02 1.665929469e+02 1.1e-07 23.91 25 1.9e-04 6.7e-02 1.2e-02 1.00e+00 1.661340349e+02 1.665753708e+02 9.6e-08 25.02 26 1.7e-04 6.1e-02 1.0e-02 1.01e+00 1.661667849e+02 1.665637297e+02 8.7e-08 25.85 27 1.5e-04 5.5e-02 9.4e-03 1.01e+00 1.661948350e+02 1.665519677e+02 7.8e-08 26.04 28 1.4e-04 5.1e-02 8.5e-03 1.01e+00 1.662202235e+02 1.665415663e+02 7.0e-08 26.07 29 1.2e-04 4.6e-02 7.6e-03 1.01e+00 1.662429631e+02 1.665321103e+02 6.3e-08 26.12 30 1.1e-04 4.2e-02 6.9e-03 1.01e+00 1.662633725e+02 1.665235549e+02 5.7e-08 26.18 31 9.9e-05 3.9e-02 6.2e-03 1.01e+00 1.662816861e+02 1.665158096e+02 5.1e-08 26.81 32 8.9e-05 3.6e-02 5.6e-03 1.01e+00 1.662981210e+02 1.665087992e+02 4.6e-08 27.72 33 8.0e-05 3.3e-02 5.0e-03 1.00e+00 1.663128702e+02 1.665024539e+02 4.2e-08 28.18 34 7.2e-05 3.0e-02 4.5e-03 1.00e+00 1.663261074e+02 1.664967112e+02 3.7e-08 28.29 35 6.5e-05 2.8e-02 4.1e-03 1.00e+00 1.663379881e+02 1.664915143e+02 3.4e-08 28.35 36 5.9e-05 2.6e-02 3.7e-03 1.00e+00 1.663486523e+02 1.664868120e+02 3.0e-08 28.41 37 5.3e-05 2.4e-02 3.3e-03 1.00e+00 1.663582255e+02 1.664825581e+02 2.7e-08 28.42 38 4.8e-05 2.3e-02 3.0e-03 1.00e+00 1.663668201e+02 1.664787106e+02 2.5e-08 28.45 39 4.3e-05 2.1e-02 2.7e-03 1.00e+00 1.663745370e+02 1.664752316e+02 2.2e-08 29.20 40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663814666e+02 1.664720862e+02 2.0e-08 29.35 41 3.5e-05 1.9e-02 2.2e-03 1.00e+00 1.663876898e+02 1.664692431e+02 1.8e-08 29.48 42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663932792e+02 1.664666738e+02 1.6e-08 29.60 43 2.8e-05 1.6e-02 1.8e-03 1.00e+00 1.663982997e+02 1.664643522e+02 1.5e-08 29.76 44 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664028095e+02 1.664622548e+02 1.3e-08 29.99 45 2.3e-05 1.5e-02 1.4e-03 1.00e+00 1.664068609e+02 1.664603601e+02 1.2e-08 30.28 46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664105008e+02 1.664586490e+02 1.1e-08 30.40 47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664137712e+02 1.664571036e+02 9.5e-09 30.56 48 1.7e-05 1.3e-02 1.0e-03 1.00e+00 1.664167097e+02 1.664557082e+02 8.6e-09 30.59 49 1.5e-05 1.2e-02 9.3e-04 1.00e+00 1.664193502e+02 1.664544485e+02 7.7e-09 30.62 50 1.3e-05 1.2e-02 8.4e-04 1.00e+00 1.664217231e+02 1.664533113e+02 7.0e-09 30.67 51 1.2e-05 1.2e-02 7.5e-04 1.00e+00 1.664238557e+02 1.664522848e+02 6.3e-09 30.73 52 1.1e-05 1.1e-02 6.8e-04 1.00e+00 1.664257725e+02 1.664513585e+02 5.6e-09 31.06 53 9.8e-06 1.1e-02 6.1e-04 1.00e+00 1.664274953e+02 1.664505227e+02 5.1e-09 31.18 54 8.8e-06 1.1e-02 5.5e-04 1.00e+00 1.664290439e+02 1.664497686e+02 4.6e-09 31.30 55 7.9e-06 1.0e-02 4.9e-04 1.00e+00 1.664304361e+02 1.664490883e+02 4.1e-09 31.71 56 7.1e-06 1.0e-02 4.5e-04 1.00e+00 1.664316877e+02 1.664484747e+02 3.7e-09 32.11 57 6.4e-06 9.8e-03 4.0e-04 1.00e+00 1.664328129e+02 1.664479213e+02 3.3e-09 32.55 58 5.8e-06 9.7e-03 3.6e-04 1.00e+00 1.664338246e+02 1.664474222e+02 3.0e-09 32.87 59 5.2e-06 9.5e-03 3.2e-04 1.00e+00 1.664347343e+02 1.664469722e+02 2.7e-09 32.91 60 4.7e-06 9.3e-03 2.9e-04 1.00e+00 1.664355523e+02 1.664465665e+02 2.4e-09 32.95 61 4.2e-06 9.2e-03 2.6e-04 1.00e+00 1.664362879e+02 1.664462007e+02 2.2e-09 32.96 62 3.8e-06 9.1e-03 2.4e-04 1.00e+00 1.664369492e+02 1.664458708e+02 2.0e-09 33.20 63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664375440e+02 1.664455735e+02 1.8e-09 33.55 64 3.1e-06 8.8e-03 1.9e-04 1.00e+00 1.664380788e+02 1.664453054e+02 1.6e-09 34.25 65 2.8e-06 8.7e-03 1.7e-04 1.00e+00 1.664385597e+02 1.664450638e+02 1.4e-09 34.79 66 2.5e-06 8.6e-03 1.6e-04 1.00e+00 1.664389923e+02 1.664448460e+02 1.3e-09 35.16 67 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664393814e+02 1.664446498e+02 1.2e-09 35.19 68 2.0e-06 8.5e-03 1.3e-04 1.00e+00 1.664397315e+02 1.664444731e+02 1.0e-09 35.59 69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400464e+02 1.664443138e+02 9.4e-10 35.99 70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403296e+02 1.664441704e+02 8.5e-10 36.49 71 1.5e-06 8.3e-03 9.2e-05 1.00e+00 1.664405845e+02 1.664440412e+02 7.6e-10 36.88 72 1.3e-06 8.2e-03 8.3e-05 1.00e+00 1.664408138e+02 1.664439249e+02 6.9e-10 37.07 73 1.2e-06 8.2e-03 7.4e-05 1.00e+00 1.664410200e+02 1.664438201e+02 6.2e-10 37.12 74 1.1e-06 8.1e-03 6.7e-05 1.00e+00 1.664412056e+02 1.664437257e+02 5.6e-10 38.10 75 9.6e-07 8.1e-03 6.0e-05 1.00e+00 1.664413726e+02 1.664436407e+02 5.0e-10 38.22 76 8.7e-07 8.0e-03 5.4e-05 1.00e+00 1.664415228e+02 1.664435641e+02 4.5e-10 38.48 77 7.8e-07 8.0e-03 4.9e-05 1.00e+00 1.664416579e+02 1.664434951e+02 4.1e-10 38.66 78 7.0e-07 8.0e-03 4.4e-05 1.00e+00 1.664417795e+02 1.664434330e+02 3.6e-10 38.76 79 6.3e-07 7.9e-03 4.0e-05 1.00e+00 1.664418889e+02 1.664433770e+02 3.3e-10 38.91 80 5.7e-07 7.9e-03 3.6e-05 1.00e+00 1.664419872e+02 1.664433266e+02 3.0e-10 39.32 81 5.1e-07 7.9e-03 3.2e-05 1.00e+00 1.664420757e+02 1.664432812e+02 2.7e-10 39.65 82 4.6e-07 7.8e-03 2.9e-05 1.00e+00 1.664421553e+02 1.664432402e+02 2.4e-10 39.74 83 4.1e-07 7.8e-03 2.6e-05 1.00e+00 1.664422270e+02 1.664432034e+02 2.2e-10 39.78 84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422914e+02 1.664431702e+02 1.9e-10 40.51 85 3.4e-07 7.8e-03 2.1e-05 1.00e+00 1.664423494e+02 1.664431403e+02 1.7e-10 41.07 86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424015e+02 1.664431133e+02 1.6e-10 41.67 87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424485e+02 1.664430891e+02 1.4e-10 42.07 88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424907e+02 1.664430672e+02 1.3e-10 42.92 89 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425287e+02 1.664430476e+02 1.1e-10 43.68 90 2.0e-07 7.7e-03 1.2e-05 1.00e+00 1.664425629e+02 1.664430300e+02 1.0e-10 43.81 91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425937e+02 1.664430140e+02 9.3e-11 44.26 92 1.6e-07 7.6e-03 1.0e-05 1.00e+00 1.664426214e+02 1.664429997e+02 8.3e-11 44.72 93 1.4e-07 7.6e-03 9.0e-06 9.99e-01 1.664426464e+02 1.664429868e+02 7.5e-11 44.94 94 1.3e-07 7.6e-03 8.1e-06 9.99e-01 1.664426688e+02 1.664429752e+02 6.8e-11 45.63 95 1.2e-07 7.6e-03 7.3e-06 1.00e+00 1.664426890e+02 1.664429648e+02 6.1e-11 46.23 96 1.1e-07 7.6e-03 6.6e-06 9.98e-01 1.664427072e+02 1.664429554e+02 5.5e-11 46.44 97 9.5e-08 7.6e-03 5.9e-06 9.99e-01 1.664427236e+02 1.664429470e+02 4.9e-11 47.11 98 8.5e-08 7.6e-03 5.3e-06 1.00e+00 1.664427383e+02 1.664429394e+02 4.4e-11 47.77 99 7.7e-08 7.5e-03 4.8e-06 1.00e+00 1.664427516e+02 1.664429325e+02 4.0e-11 48.51 100 6.9e-08 7.5e-03 4.3e-06 1.00e+00 1.664427635e+02 1.664429263e+02 3.6e-11 49.21 101 6.2e-08 6.8e-03 3.9e-06 1.00e+00 1.664427743e+02 1.664429207e+02 3.2e-11 49.39 102 5.6e-08 6.1e-03 3.5e-06 1.01e+00 1.664427842e+02 1.664429156e+02 2.9e-11 49.74 103 5.0e-08 5.5e-03 3.2e-06 1.00e+00 1.664427928e+02 1.664429111e+02 2.6e-11 50.22 104 4.5e-08 4.9e-03 2.8e-06 1.01e+00 1.664428007e+02 1.664429071e+02 2.4e-11 51.12 105 4.1e-08 4.5e-03 2.6e-06 1.00e+00 1.664428077e+02 1.664429034e+02 2.1e-11 51.81 106 3.7e-08 4.0e-03 2.3e-06 9.78e-01 1.664428140e+02 1.664429003e+02 1.9e-11 53.10 107 3.3e-08 3.6e-03 2.1e-06 9.90e-01 1.664428197e+02 1.664428974e+02 1.7e-11 54.83 108 3.0e-08 3.2e-03 1.9e-06 9.97e-01 1.664428248e+02 1.664428947e+02 1.6e-11 55.52 109 2.7e-08 2.9e-03 1.7e-06 9.73e-01 1.664428294e+02 1.664428924e+02 1.4e-11 55.56 110 2.4e-08 2.6e-03 1.5e-06 1.01e+00 1.664428337e+02 1.664428902e+02 1.3e-11 56.19 111 2.2e-08 2.4e-03 1.4e-06 1.02e+00 1.664428378e+02 1.664428880e+02 1.1e-11 56.32 112 2.0e-08 2.1e-03 1.2e-06 9.31e-01 1.664428411e+02 1.664428863e+02 1.0e-11 56.45 113 1.8e-08 1.9e-03 1.1e-06 9.61e-01 1.664428440e+02 1.664428849e+02 9.3e-12 57.07 114 1.6e-08 1.7e-03 9.9e-07 9.97e-01 1.664428467e+02 1.664428835e+02 8.4e-12 57.55 115 1.4e-08 1.6e-03 8.9e-07 9.99e-01 1.664428491e+02 1.664428822e+02 7.5e-12 57.68 116 1.3e-08 1.4e-03 8.0e-07 9.82e-01 1.664428513e+02 1.664428811e+02 6.8e-12 57.71 117 1.2e-08 1.3e-03 7.2e-07 8.39e-01 1.664428533e+02 1.664428801e+02 6.1e-12 57.75 118 1.0e-08 1.1e-03 6.5e-07 9.49e-01 1.664428550e+02 1.664428793e+02 5.5e-12 57.80 119 9.4e-09 1.0e-03 5.8e-07 7.90e-01 1.664428566e+02 1.664428785e+02 4.9e-12 57.83 120 8.9e-09 9.2e-04 5.3e-07 1.05e+00 1.664428584e+02 1.664428774e+02 4.6e-12 58.20 121 8.0e-09 8.3e-04 4.7e-07 9.07e-01 1.664428596e+02 1.664428768e+02 4.1e-12 58.52 122 7.9e-09 7.4e-04 4.3e-07 1.07e+00 1.664428612e+02 1.664428759e+02 3.8e-12 58.72 123 7.1e-09 6.7e-04 3.8e-07 9.93e-01 1.664428621e+02 1.664428754e+02 3.4e-12 58.86 124 6.9e-09 6.0e-04 3.4e-07 1.91e+00 1.664428628e+02 1.664428755e+02 3.1e-12 59.09 125 7.7e-09 5.4e-04 3.1e-07 6.68e-01 1.664428636e+02 1.664428754e+02 2.8e-12 59.44 126 7.4e-09 4.9e-04 2.8e-07 8.81e-01 1.664428643e+02 1.664428750e+02 2.5e-12 59.73 127 7.4e-09 4.4e-04 2.5e-07 1.16e+00 1.664428654e+02 1.664428741e+02 2.5e-12 59.84 128 6.8e-09 3.9e-04 2.3e-07 1.18e+00 1.664428664e+02 1.664428734e+02 2.4e-12 59.96 129 6.2e-09 3.6e-04 2.0e-07 6.54e-01 1.664428669e+02 1.664428730e+02 2.2e-12 59.99 130 8.2e-09 3.2e-04 1.8e-07 8.95e-01 1.664428673e+02 1.664428729e+02 2.0e-12 60.03 131 7.5e-09 2.9e-04 1.7e-07 1.13e+00 1.664428679e+02 1.664428725e+02 1.9e-12 60.07 132 8.2e-09 2.6e-04 1.5e-07 4.95e-01 1.664428682e+02 1.664428722e+02 1.7e-12 60.11 133 1.3e-08 2.3e-04 1.6e-07 1.00e+00 1.664428677e+02 1.664428720e+02 1.5e-12 60.38 134 1.3e-08 1.6e-05 1.1e-08 2.25e-01 1.664428712e+02 1.664428717e+02 4.0e-13 60.77 Interior-point optimizer terminated. Time: 60.77. Optimizer terminated. Time: 60.78 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6644287124e+02 Viol. con: 5e-07 var: 0e+00 Dual. obj: 1.6644287168e+02 Viol. con: 0e+00 var: 1e-04 * End solution on dual form. * Transforming to primal solution. Solving took 60.8 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3453 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286065414e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264430685e+05 3.560331132e+00 4.8e-01 0.78 2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201901268e+05 1.023711051e+01 1.8e-01 0.93 3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154934761e+05 6.447302933e+01 1.2e-01 1.31 4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128470937e+05 2.299730567e+03 1.2e-01 1.54 5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.454830625e+04 9.751096932e+03 3.3e-02 1.65 6 3.0e+01 3.9e+01 1.7e+03 -1.92e-01 -4.044531673e+04 1.032161282e+04 1.3e-02 1.90 7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.709803867e+04 6.726687333e+03 7.9e-03 1.97 8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.536829323e+04 3.868716493e+03 4.2e-03 2.01 9 3.6e+00 4.6e+00 2.0e+02 8.17e-01 -5.860048403e+03 1.801387919e+03 1.6e-03 2.04 10 2.0e+00 2.6e+00 1.1e+02 9.48e-01 -3.087503101e+03 1.198966153e+03 8.8e-04 2.08 11 8.5e-01 1.1e+00 4.8e+01 9.81e-01 -1.234100321e+03 6.213296150e+02 3.8e-04 2.13 12 8.2e-01 1.1e+00 4.6e+01 9.53e-01 -1.214658397e+03 5.968295920e+02 3.7e-04 2.45 13 5.1e-01 6.6e-01 2.9e+01 9.71e-01 -7.061227616e+02 4.306360617e+02 2.3e-04 2.72 14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.440582247e+02 3.401612027e+02 1.4e-04 2.83 15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.609453545e+01 2.147728247e+02 4.9e-05 3.14 16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.173520186e+01 2.053807608e+02 3.8e-05 3.85 17 4.1e-02 8.6e-02 2.4e+00 1.02e+00 9.596385909e+01 1.869200096e+02 1.9e-05 4.08 18 1.4e-02 8.5e-02 8.1e-01 1.02e+00 1.429823662e+02 1.741340340e+02 6.5e-06 4.22 19 5.9e-03 7.3e-02 3.4e-01 1.01e+00 1.562841746e+02 1.694758699e+02 2.8e-06 4.27 20 1.5e-03 1.5e-01 9.1e-02 1.01e+00 1.639170430e+02 1.673755512e+02 7.3e-07 4.30 21 7.3e-04 1.0e-01 4.5e-02 9.83e-01 1.651838370e+02 1.668992540e+02 3.7e-07 4.34 22 2.3e-04 1.1e-01 1.5e-02 9.96e-01 1.660253869e+02 1.665879243e+02 1.2e-07 4.39 23 1.1e-04 8.7e-02 7.1e-03 1.01e+00 1.662345848e+02 1.665014921e+02 5.9e-08 4.40 24 5.4e-05 7.5e-02 3.5e-03 1.01e+00 1.663291947e+02 1.664619381e+02 3.0e-08 4.75 25 4.9e-05 6.8e-02 3.2e-03 1.01e+00 1.663400012e+02 1.664595470e+02 2.7e-08 5.09 26 4.4e-05 6.2e-02 2.9e-03 1.01e+00 1.663482376e+02 1.664557896e+02 2.4e-08 5.61 27 3.9e-05 5.7e-02 2.6e-03 1.01e+00 1.663557497e+02 1.664525243e+02 2.2e-08 6.20 28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663624690e+02 1.664495463e+02 1.9e-08 6.50 29 3.2e-05 4.7e-02 2.1e-03 1.01e+00 1.663685057e+02 1.664468593e+02 1.7e-08 6.54 30 2.9e-05 4.3e-02 1.9e-03 1.01e+00 1.663739267e+02 1.664444320e+02 1.6e-08 6.57 31 2.6e-05 4.0e-02 1.7e-03 1.00e+00 1.663787959e+02 1.664422400e+02 1.4e-08 6.60 32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663831697e+02 1.664402608e+02 1.3e-08 7.03 33 2.1e-05 3.4e-02 1.4e-03 1.00e+00 1.663870989e+02 1.664384739e+02 1.1e-08 7.52 34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663906290e+02 1.664368608e+02 1.0e-08 7.99 35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663938007e+02 1.664354047e+02 9.3e-09 8.64 36 1.5e-05 2.7e-02 9.9e-04 1.00e+00 1.663966506e+02 1.664340905e+02 8.3e-09 8.78 37 1.4e-05 2.5e-02 9.0e-04 1.00e+00 1.663992116e+02 1.664329045e+02 7.5e-09 8.81 38 1.2e-05 2.3e-02 8.1e-04 1.00e+00 1.664015131e+02 1.664318343e+02 6.8e-09 8.87 39 1.1e-05 2.2e-02 7.3e-04 1.00e+00 1.664035815e+02 1.664308687e+02 6.1e-09 8.91 40 1.0e-05 2.0e-02 6.5e-04 1.00e+00 1.664054407e+02 1.664299976e+02 5.5e-09 10.22 41 9.0e-06 1.9e-02 5.9e-04 1.00e+00 1.664071119e+02 1.664292119e+02 4.9e-09 11.70 42 8.1e-06 1.8e-02 5.3e-04 1.00e+00 1.664086142e+02 1.664285032e+02 4.4e-09 12.72 43 7.3e-06 1.7e-02 4.8e-04 1.00e+00 1.664099647e+02 1.664278640e+02 4.0e-09 13.33 44 6.6e-06 1.6e-02 4.3e-04 1.00e+00 1.664111789e+02 1.664272877e+02 3.6e-09 14.68 45 5.9e-06 1.5e-02 3.9e-04 1.00e+00 1.664122707e+02 1.664267681e+02 3.2e-09 15.90 46 5.3e-06 1.5e-02 3.5e-04 1.00e+00 1.664132523e+02 1.664262996e+02 2.9e-09 16.78 47 4.8e-06 1.4e-02 3.1e-04 1.00e+00 1.664141351e+02 1.664258773e+02 2.6e-09 18.28 48 4.3e-06 1.3e-02 2.8e-04 1.00e+00 1.664149288e+02 1.664254966e+02 2.4e-09 19.32 49 3.9e-06 1.3e-02 2.5e-04 1.00e+00 1.664156426e+02 1.664251535e+02 2.1e-09 20.25 50 3.5e-06 1.2e-02 2.3e-04 1.00e+00 1.664162845e+02 1.664248441e+02 1.9e-09 21.60 51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664168618e+02 1.664245653e+02 1.7e-09 22.55 52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664173809e+02 1.664243140e+02 1.5e-09 23.63 53 2.5e-06 1.1e-02 1.7e-04 1.00e+00 1.664178478e+02 1.664240876e+02 1.4e-09 24.81 54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664182678e+02 1.664238835e+02 1.3e-09 25.59 55 2.1e-06 1.1e-02 1.3e-04 1.00e+00 1.664186456e+02 1.664236998e+02 1.1e-09 26.87 56 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664189855e+02 1.664235342e+02 1.0e-09 28.05 57 1.7e-06 1.0e-02 1.1e-04 1.00e+00 1.664192913e+02 1.664233851e+02 9.1e-10 29.54 58 1.5e-06 9.8e-03 9.8e-05 1.00e+00 1.664195664e+02 1.664232509e+02 8.2e-10 30.40 59 1.4e-06 9.6e-03 8.8e-05 1.00e+00 1.664198139e+02 1.664231299e+02 7.4e-10 31.44 60 1.2e-06 9.4e-03 7.9e-05 1.00e+00 1.664200366e+02 1.664230210e+02 6.7e-10 31.49 61 1.1e-06 9.3e-03 7.1e-05 1.00e+00 1.664202369e+02 1.664229229e+02 6.0e-10 31.54 62 9.9e-07 9.1e-03 6.4e-05 1.00e+00 1.664204172e+02 1.664228346e+02 5.4e-10 31.59 63 8.9e-07 9.0e-03 5.8e-05 1.00e+00 1.664205794e+02 1.664227550e+02 4.9e-10 32.59 64 8.0e-07 8.9e-03 5.2e-05 1.00e+00 1.664207253e+02 1.664226834e+02 4.4e-10 33.95 65 7.2e-07 8.8e-03 4.7e-05 1.00e+00 1.664208565e+02 1.664226188e+02 3.9e-10 35.14 66 6.5e-07 8.7e-03 4.2e-05 1.00e+00 1.664209746e+02 1.664225606e+02 3.5e-10 36.01 67 5.8e-07 8.6e-03 3.8e-05 1.00e+00 1.664210808e+02 1.664225083e+02 3.2e-10 37.21 68 5.2e-07 8.5e-03 3.4e-05 1.00e+00 1.664211764e+02 1.664224611e+02 2.9e-10 38.60 69 4.7e-07 8.4e-03 3.1e-05 1.00e+00 1.664212623e+02 1.664224186e+02 2.6e-10 39.42 70 4.2e-07 8.3e-03 2.8e-05 1.00e+00 1.664213397e+02 1.664223803e+02 2.3e-10 40.47 71 3.8e-07 8.3e-03 2.5e-05 1.00e+00 1.664214092e+02 1.664223458e+02 2.1e-10 40.69 72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214718e+02 1.664223146e+02 1.9e-10 41.80 73 3.1e-07 8.2e-03 2.0e-05 1.00e+00 1.664215281e+02 1.664222867e+02 1.7e-10 42.99 74 2.8e-07 8.1e-03 1.8e-05 1.00e+00 1.664215787e+02 1.664222614e+02 1.5e-10 43.94 75 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664216243e+02 1.664222387e+02 1.4e-10 45.22 76 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.664216653e+02 1.664222183e+02 1.2e-10 46.30 77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217022e+02 1.664221999e+02 1.1e-10 47.50 78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217354e+02 1.664221833e+02 1.0e-10 48.75 79 1.6e-07 7.9e-03 1.1e-05 9.99e-01 1.664217653e+02 1.664221684e+02 9.0e-11 50.19 80 1.5e-07 7.9e-03 9.7e-06 1.00e+00 1.664217922e+02 1.664221550e+02 8.1e-11 51.35 81 1.3e-07 7.9e-03 8.7e-06 1.00e+00 1.664218164e+02 1.664221428e+02 7.3e-11 52.84 82 1.2e-07 7.8e-03 7.8e-06 1.00e+00 1.664218382e+02 1.664221320e+02 6.6e-11 54.48 83 1.1e-07 7.8e-03 7.0e-06 9.99e-01 1.664218578e+02 1.664221222e+02 5.9e-11 55.74 84 9.7e-08 7.8e-03 6.3e-06 9.95e-01 1.664218754e+02 1.664221134e+02 5.3e-11 56.36 85 8.7e-08 7.0e-03 5.7e-06 1.01e+00 1.664218915e+02 1.664221053e+02 4.8e-11 56.42 86 7.9e-08 6.3e-03 5.1e-06 9.95e-01 1.664219057e+02 1.664220982e+02 4.3e-11 57.76 87 7.1e-08 5.7e-03 4.6e-06 9.93e-01 1.664219186e+02 1.664220919e+02 3.9e-11 59.20 88 6.4e-08 5.1e-03 4.2e-06 1.01e+00 1.664219303e+02 1.664220860e+02 3.5e-11 59.90 89 5.7e-08 4.6e-03 3.7e-06 1.01e+00 1.664219409e+02 1.664220807e+02 3.2e-11 60.20 90 5.2e-08 4.1e-03 3.4e-06 1.00e+00 1.664219502e+02 1.664220759e+02 2.8e-11 60.70 91 4.6e-08 3.7e-03 3.0e-06 1.00e+00 1.664219587e+02 1.664220717e+02 2.6e-11 61.07 92 4.2e-08 3.3e-03 2.7e-06 1.00e+00 1.664219663e+02 1.664220679e+02 2.3e-11 62.13 93 3.8e-08 3.0e-03 2.5e-06 9.83e-01 1.664219730e+02 1.664220646e+02 2.1e-11 63.50 94 3.4e-08 2.7e-03 2.2e-06 1.00e+00 1.664219791e+02 1.664220615e+02 1.9e-11 64.52 95 3.0e-08 2.4e-03 2.0e-06 9.72e-01 1.664219846e+02 1.664220589e+02 1.7e-11 65.79 96 2.7e-08 2.2e-03 1.8e-06 9.67e-01 1.664219895e+02 1.664220565e+02 1.5e-11 66.82 97 2.5e-08 2.0e-03 1.6e-06 9.91e-01 1.664219939e+02 1.664220542e+02 1.4e-11 68.16 98 2.2e-08 1.8e-03 1.4e-06 1.01e+00 1.664219982e+02 1.664220521e+02 1.2e-11 69.29 99 2.0e-08 1.6e-03 1.3e-06 9.84e-01 1.664220017e+02 1.664220503e+02 1.1e-11 70.39 100 1.8e-08 1.4e-03 1.2e-06 9.80e-01 1.664220050e+02 1.664220487e+02 1.0e-11 71.30 101 1.6e-08 1.3e-03 1.1e-06 1.00e+00 1.664220079e+02 1.664220472e+02 9.0e-12 72.74 102 1.5e-08 1.2e-03 9.5e-07 1.01e+00 1.664220106e+02 1.664220459e+02 8.1e-12 73.78 103 1.3e-08 1.0e-03 8.6e-07 1.01e+00 1.664220130e+02 1.664220446e+02 7.3e-12 75.32 104 1.2e-08 9.4e-04 7.7e-07 9.35e-01 1.664220151e+02 1.664220436e+02 6.6e-12 76.64 105 1.1e-08 8.5e-04 6.9e-07 1.01e+00 1.664220171e+02 1.664220426e+02 6.0e-12 76.83 106 9.6e-09 7.6e-04 6.2e-07 9.88e-01 1.664220188e+02 1.664220418e+02 5.4e-12 78.41 107 8.7e-09 6.9e-04 5.6e-07 1.01e+00 1.664220203e+02 1.664220410e+02 4.9e-12 80.08 108 7.8e-09 6.2e-04 5.1e-07 9.68e-01 1.664220217e+02 1.664220403e+02 4.4e-12 81.30 109 7.0e-09 5.6e-04 4.5e-07 9.82e-01 1.664220229e+02 1.664220397e+02 3.9e-12 81.40 110 6.4e-09 5.0e-04 4.1e-07 1.01e+00 1.664220241e+02 1.664220391e+02 3.6e-12 83.82 111 5.7e-09 4.5e-04 3.7e-07 9.66e-01 1.664220251e+02 1.664220386e+02 3.2e-12 84.95 112 5.3e-09 4.1e-04 3.3e-07 1.18e+00 1.664220267e+02 1.664220376e+02 3.2e-12 85.87 113 5.1e-09 3.7e-04 3.0e-07 1.18e+00 1.664220281e+02 1.664220369e+02 3.1e-12 86.60 114 4.6e-09 3.3e-04 2.7e-07 9.42e-01 1.664220286e+02 1.664220366e+02 2.8e-12 88.44 115 4.4e-09 3.0e-04 2.4e-07 9.34e-01 1.664220292e+02 1.664220363e+02 2.5e-12 90.05 116 3.9e-09 2.7e-04 2.2e-07 1.04e+00 1.664220297e+02 1.664220361e+02 2.3e-12 91.97 117 3.5e-09 2.4e-04 2.0e-07 9.75e-01 1.664220302e+02 1.664220359e+02 2.1e-12 92.65 118 2.1e-09 1.4e-05 1.1e-08 9.11e-01 1.664220339e+02 1.664220342e+02 2.0e-13 94.32 Interior-point optimizer terminated. Time: 94.32. Optimizer terminated. Time: 94.33 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6642203388e+02 Viol. con: 6e-08 var: 0e+00 Dual. obj: 1.6642203422e+02 Viol. con: 0e+00 var: 8e-05 * End solution on dual form. * Transforming to primal solution. Solving took 94.4 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 933 Eliminator terminated. Eliminator started. Total number of eliminations : 943 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 943 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 777 Optimizer - Cones : 0 Optimizer - Scalar variables : 3453 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286056957e+05 2.000000000e+00 1.0e+00 0.06 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264419967e+05 3.560120831e+00 4.8e-01 1.23 2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.201704439e+05 1.025024774e+01 1.8e-01 2.36 3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154695686e+05 6.471596986e+01 1.2e-01 2.77 4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128250834e+05 2.298173687e+03 1.2e-01 3.88 5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.433518558e+04 9.779656886e+03 3.3e-02 5.25 6 3.0e+01 3.9e+01 1.7e+03 -1.89e-01 -4.033413357e+04 1.028459040e+04 1.3e-02 6.30 7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.709322953e+04 6.722354313e+03 7.9e-03 7.30 8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.525036903e+04 3.846202903e+03 4.2e-03 8.34 9 3.2e+00 4.2e+00 1.8e+02 8.18e-01 -5.232981175e+03 1.674991585e+03 1.4e-03 9.62 10 1.6e+00 2.0e+00 8.9e+01 9.56e-01 -2.390214510e+03 1.063625498e+03 7.1e-04 10.75 11 1.0e+00 1.3e+00 5.7e+01 9.86e-01 -1.466274688e+03 7.475104890e+02 4.5e-04 11.05 12 8.8e-01 1.1e+00 4.9e+01 9.70e-01 -1.288872100e+03 6.622267079e+02 3.9e-04 11.87 13 4.9e-01 6.3e-01 2.7e+01 9.78e-01 -6.563126199e+02 4.323200809e+02 2.2e-04 12.92 14 2.7e-01 3.6e-01 1.5e+01 1.00e+00 -2.904712584e+02 3.188283560e+02 1.2e-04 13.93 15 9.8e-02 1.5e-01 5.6e+00 9.99e-01 -1.146924045e+01 2.095860486e+02 4.5e-05 15.36 16 8.0e-02 1.2e-01 4.6e+00 1.02e+00 2.727096391e+01 2.073906238e+02 3.7e-05 16.82 17 6.4e-02 9.6e-02 3.6e+00 1.02e+00 5.585031943e+01 1.980652430e+02 2.9e-05 17.74 18 1.9e-02 8.9e-02 1.1e+00 1.02e+00 1.333640206e+02 1.765179328e+02 9.0e-06 18.85 19 6.2e-03 1.9e-01 3.6e-01 1.02e+00 1.561705039e+02 1.700462601e+02 2.9e-06 20.45 20 3.4e-03 2.2e-01 2.0e-01 1.01e+00 1.606056184e+02 1.683293328e+02 1.6e-06 21.32 21 1.0e-03 1.4e-01 6.1e-02 1.01e+00 1.647156479e+02 1.670479885e+02 5.0e-07 22.38 22 7.2e-04 1.1e-01 4.4e-02 9.90e-01 1.651969474e+02 1.668797277e+02 3.6e-07 23.96 23 2.1e-04 1.1e-01 1.3e-02 9.87e-01 1.660532813e+02 1.665562441e+02 1.1e-07 24.51 24 9.9e-05 9.0e-02 6.4e-03 1.01e+00 1.662388726e+02 1.664809826e+02 5.3e-08 25.90 25 4.0e-05 8.7e-02 2.6e-03 1.01e+00 1.663396705e+02 1.664378292e+02 2.2e-08 27.73 26 3.6e-05 8.0e-02 2.3e-03 1.01e+00 1.663476136e+02 1.664359915e+02 2.0e-08 30.03 27 3.2e-05 7.3e-02 2.1e-03 1.01e+00 1.663536494e+02 1.664331617e+02 1.8e-08 31.26 28 2.9e-05 6.6e-02 1.9e-03 1.01e+00 1.663591743e+02 1.664307174e+02 1.6e-08 32.75 29 2.6e-05 6.0e-02 1.7e-03 1.01e+00 1.663641217e+02 1.664284951e+02 1.4e-08 33.53 30 2.4e-05 5.5e-02 1.5e-03 1.01e+00 1.663685677e+02 1.664264912e+02 1.3e-08 35.52 31 2.1e-05 5.0e-02 1.4e-03 1.01e+00 1.663725612e+02 1.664246820e+02 1.2e-08 37.33 32 1.9e-05 4.6e-02 1.2e-03 1.00e+00 1.663761490e+02 1.664230493e+02 1.0e-08 39.04 33 1.7e-05 4.2e-02 1.1e-03 1.00e+00 1.663793726e+02 1.664215758e+02 9.4e-09 41.06 34 1.5e-05 3.9e-02 1.0e-03 1.00e+00 1.663822691e+02 1.664202463e+02 8.5e-09 42.34 35 1.4e-05 3.6e-02 9.1e-04 1.00e+00 1.663848719e+02 1.664190467e+02 7.6e-09 42.71 36 1.3e-05 3.3e-02 8.2e-04 1.00e+00 1.663872111e+02 1.664179646e+02 6.9e-09 44.08 37 1.1e-05 3.0e-02 7.3e-04 1.00e+00 1.663893134e+02 1.664169885e+02 6.2e-09 45.33 38 1.0e-05 2.8e-02 6.6e-04 1.00e+00 1.663912031e+02 1.664161082e+02 5.6e-09 46.25 39 9.1e-06 2.6e-02 5.9e-04 1.00e+00 1.663929017e+02 1.664153142e+02 5.0e-09 46.97 40 8.2e-06 2.4e-02 5.4e-04 1.00e+00 1.663944287e+02 1.664145984e+02 4.5e-09 47.93 41 7.4e-06 2.3e-02 4.8e-04 1.00e+00 1.663958016e+02 1.664139529e+02 4.0e-09 48.75 42 6.7e-06 2.1e-02 4.3e-04 1.00e+00 1.663970359e+02 1.664133711e+02 3.6e-09 49.55 43 6.0e-06 2.0e-02 3.9e-04 1.00e+00 1.663981458e+02 1.664128466e+02 3.3e-09 50.38 44 5.4e-06 1.9e-02 3.5e-04 1.00e+00 1.663991438e+02 1.664123738e+02 3.0e-09 51.04 45 4.9e-06 1.8e-02 3.2e-04 1.00e+00 1.664000412e+02 1.664119477e+02 2.7e-09 51.83 46 4.4e-06 1.7e-02 2.8e-04 1.00e+00 1.664008483e+02 1.664115637e+02 2.4e-09 52.67 47 3.9e-06 1.6e-02 2.6e-04 1.00e+00 1.664015740e+02 1.664112175e+02 2.2e-09 53.33 48 3.5e-06 1.5e-02 2.3e-04 1.00e+00 1.664022267e+02 1.664109056e+02 1.9e-09 54.53 49 3.2e-06 1.4e-02 2.1e-04 1.00e+00 1.664028136e+02 1.664106244e+02 1.7e-09 55.33 50 2.9e-06 1.4e-02 1.9e-04 1.00e+00 1.664033415e+02 1.664103710e+02 1.6e-09 56.37 51 2.6e-06 1.3e-02 1.7e-04 1.00e+00 1.664038163e+02 1.664101427e+02 1.4e-09 57.24 52 2.3e-06 1.3e-02 1.5e-04 1.00e+00 1.664042434e+02 1.664099370e+02 1.3e-09 58.76 53 2.1e-06 1.2e-02 1.4e-04 1.00e+00 1.664046276e+02 1.664097517e+02 1.1e-09 59.89 54 1.9e-06 1.2e-02 1.2e-04 1.00e+00 1.664049732e+02 1.664095849e+02 1.0e-09 60.56 55 1.7e-06 1.1e-02 1.1e-04 1.00e+00 1.664052842e+02 1.664094346e+02 9.3e-10 60.96 56 1.5e-06 1.1e-02 9.9e-05 1.00e+00 1.664055639e+02 1.664092993e+02 8.3e-10 61.85 57 1.4e-06 1.1e-02 8.9e-05 1.00e+00 1.664058156e+02 1.664091774e+02 7.5e-10 62.70 58 1.2e-06 1.0e-02 8.0e-05 1.00e+00 1.664060421e+02 1.664090677e+02 6.8e-10 63.97 59 1.1e-06 1.0e-02 7.2e-05 1.00e+00 1.664062459e+02 1.664089689e+02 6.1e-10 64.79 60 1.0e-06 9.8e-03 6.5e-05 1.00e+00 1.664064292e+02 1.664088799e+02 5.5e-10 65.51 61 9.0e-07 9.6e-03 5.9e-05 1.00e+00 1.664065941e+02 1.664087997e+02 4.9e-10 66.52 62 8.1e-07 9.4e-03 5.3e-05 1.00e+00 1.664067425e+02 1.664087275e+02 4.4e-10 68.10 63 7.3e-07 9.2e-03 4.7e-05 1.00e+00 1.664068760e+02 1.664086625e+02 4.0e-10 69.65 64 6.6e-07 9.1e-03 4.3e-05 1.00e+00 1.664069961e+02 1.664086040e+02 3.6e-10 69.99 65 5.9e-07 8.9e-03 3.8e-05 1.00e+00 1.664071041e+02 1.664085512e+02 3.2e-10 70.68 66 5.3e-07 8.8e-03 3.5e-05 1.00e+00 1.664072013e+02 1.664085037e+02 2.9e-10 72.37 67 4.8e-07 8.7e-03 3.1e-05 1.00e+00 1.664072887e+02 1.664084608e+02 2.6e-10 73.43 68 4.3e-07 8.6e-03 2.8e-05 1.00e+00 1.664073674e+02 1.664084223e+02 2.4e-10 74.97 69 3.9e-07 8.5e-03 2.5e-05 1.00e+00 1.664074381e+02 1.664083875e+02 2.1e-10 76.07 70 3.5e-07 8.4e-03 2.3e-05 1.00e+00 1.664075017e+02 1.664083562e+02 1.9e-10 76.75 71 3.1e-07 8.3e-03 2.0e-05 1.00e+00 1.664075590e+02 1.664083280e+02 1.7e-10 76.83 72 2.8e-07 8.3e-03 1.8e-05 1.00e+00 1.664076105e+02 1.664083026e+02 1.5e-10 78.50 73 2.5e-07 8.2e-03 1.7e-05 1.00e+00 1.664076568e+02 1.664082797e+02 1.4e-10 80.08 74 2.3e-07 8.1e-03 1.5e-05 1.00e+00 1.664076985e+02 1.664082591e+02 1.3e-10 81.41 75 2.1e-07 8.1e-03 1.3e-05 1.00e+00 1.664077360e+02 1.664082405e+02 1.1e-10 82.19 76 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664077698e+02 1.664082238e+02 1.0e-10 83.29 77 1.7e-07 8.0e-03 1.1e-05 9.98e-01 1.664078002e+02 1.664082088e+02 9.1e-11 83.57 78 1.5e-07 7.9e-03 9.8e-06 1.00e+00 1.664078275e+02 1.664081953e+02 8.2e-11 83.65 79 1.4e-07 7.9e-03 8.8e-06 1.00e+00 1.664078521e+02 1.664081830e+02 7.4e-11 84.61 80 1.2e-07 7.9e-03 7.9e-06 9.99e-01 1.664078742e+02 1.664081721e+02 6.7e-11 85.25 81 1.1e-07 7.8e-03 7.1e-06 1.00e+00 1.664078942e+02 1.664081622e+02 6.0e-11 85.76 82 9.9e-08 7.8e-03 6.4e-06 1.00e+00 1.664079121e+02 1.664081533e+02 5.4e-11 86.60 83 8.9e-08 7.8e-03 5.8e-06 1.00e+00 1.664079282e+02 1.664081453e+02 4.9e-11 87.73 84 8.0e-08 7.8e-03 5.2e-06 1.00e+00 1.664079428e+02 1.664081380e+02 4.4e-11 88.82 85 7.2e-08 7.7e-03 4.7e-06 9.98e-01 1.664079559e+02 1.664081316e+02 3.9e-11 89.84 86 6.5e-08 7.7e-03 4.2e-06 1.00e+00 1.664079676e+02 1.664081257e+02 3.5e-11 90.36 87 5.8e-08 6.9e-03 3.8e-06 1.01e+00 1.664079783e+02 1.664081204e+02 3.2e-11 90.46 88 5.2e-08 6.3e-03 3.4e-06 1.01e+00 1.664079883e+02 1.664081154e+02 2.9e-11 91.47 89 4.7e-08 5.6e-03 3.1e-06 1.00e+00 1.664079968e+02 1.664081112e+02 2.6e-11 92.54 90 4.2e-08 5.1e-03 2.8e-06 9.94e-01 1.664080045e+02 1.664081074e+02 2.3e-11 92.60 91 3.8e-08 4.6e-03 2.5e-06 1.01e+00 1.664080116e+02 1.664081039e+02 2.1e-11 93.80 92 3.4e-08 4.1e-03 2.2e-06 1.01e+00 1.664080180e+02 1.664081006e+02 1.9e-11 95.03 93 3.1e-08 3.7e-03 2.0e-06 9.97e-01 1.664080236e+02 1.664080979e+02 1.7e-11 95.99 94 2.8e-08 3.3e-03 1.8e-06 1.02e+00 1.664080289e+02 1.664080952e+02 1.6e-11 97.27 95 2.5e-08 3.0e-03 1.6e-06 9.95e-01 1.664080333e+02 1.664080930e+02 1.4e-11 99.15 96 2.3e-08 2.7e-03 1.5e-06 9.70e-01 1.664080373e+02 1.664080911e+02 1.3e-11 100.10 97 2.0e-08 2.4e-03 1.3e-06 9.89e-01 1.664080409e+02 1.664080893e+02 1.1e-11 101.08 98 1.8e-08 2.2e-03 1.2e-06 9.79e-01 1.664080441e+02 1.664080878e+02 1.0e-11 102.40 99 1.6e-08 2.0e-03 1.1e-06 1.01e+00 1.664080471e+02 1.664080863e+02 9.2e-12 103.93 100 1.5e-08 1.8e-03 9.6e-07 9.80e-01 1.664080497e+02 1.664080850e+02 8.3e-12 103.98 101 1.3e-08 1.6e-03 8.7e-07 9.98e-01 1.664080521e+02 1.664080838e+02 7.5e-12 104.02 102 1.2e-08 1.4e-03 7.8e-07 1.02e+00 1.664080544e+02 1.664080827e+02 6.8e-12 105.53 103 1.1e-08 1.3e-03 7.0e-07 9.61e-01 1.664080562e+02 1.664080817e+02 6.1e-12 106.18 104 9.8e-09 1.2e-03 6.3e-07 1.06e+00 1.664080584e+02 1.664080806e+02 5.7e-12 106.22 105 8.9e-09 1.0e-03 5.7e-07 9.18e-01 1.664080599e+02 1.664080799e+02 5.1e-12 106.26 106 8.2e-09 9.4e-04 5.1e-07 1.11e+00 1.664080619e+02 1.664080788e+02 4.8e-12 106.89 107 7.3e-09 8.4e-04 4.6e-07 9.13e-01 1.664080630e+02 1.664080783e+02 4.4e-12 107.79 108 6.6e-09 7.6e-04 4.1e-07 8.69e-01 1.664080640e+02 1.664080778e+02 3.9e-12 109.07 109 6.0e-09 6.8e-04 3.7e-07 8.48e-01 1.664080649e+02 1.664080775e+02 3.5e-12 110.07 110 5.5e-09 6.2e-04 3.4e-07 1.04e+00 1.664080659e+02 1.664080769e+02 3.3e-12 111.20 111 5.0e-09 5.5e-04 3.0e-07 9.44e-01 1.664080666e+02 1.664080766e+02 2.9e-12 111.95 112 4.6e-09 5.0e-04 2.7e-07 7.04e-01 1.664080673e+02 1.664080763e+02 2.6e-12 113.69 113 5.4e-09 4.5e-04 2.4e-07 1.13e+00 1.664080682e+02 1.664080758e+02 2.5e-12 114.61 114 4.7e-09 4.0e-04 2.2e-07 1.41e+00 1.664080687e+02 1.664080755e+02 2.3e-12 115.43 115 4.2e-09 3.6e-04 2.0e-07 1.07e+00 1.664080693e+02 1.664080752e+02 2.1e-12 116.70 116 3.8e-09 3.3e-04 1.8e-07 9.53e-01 1.664080697e+02 1.664080750e+02 1.9e-12 117.62 117 3.4e-09 2.9e-04 1.6e-07 9.04e-01 1.664080701e+02 1.664080748e+02 1.7e-12 118.97 118 3.1e-09 2.7e-04 1.4e-07 1.03e+00 1.664080704e+02 1.664080746e+02 1.6e-12 119.89 119 2.9e-09 2.4e-04 1.3e-07 9.86e-01 1.664080707e+02 1.664080745e+02 1.4e-12 121.35 120 4.2e-09 4.8e-05 2.6e-08 8.09e-01 1.664080728e+02 1.664080736e+02 3.6e-13 122.16 Interior-point optimizer terminated. Time: 122.16. Optimizer terminated. Time: 122.17 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6640807281e+02 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6640807363e+02 Viol. con: 0e+00 var: 3e-04 * End solution on dual form. * Transforming to primal solution. Solving took 122 seconds. Solving took 9 GP solves and 1.19e+03 seconds. Solves with these variables bounded: value near lower bound: Mission.CruiseAlt value near upper bound: Mission.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission.Aircraft.Engine.Thrust.\alpha_{max}, Mission.Aircraft.Wing.WingNoStruct.A_{tri}, Mission.TotalTime, Mission.Aircraft.LandingGear.d_{nacelle}, Mission.T_{t_{4.1_{max-Cruise}}} Checking for relaxed constants... Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957407204225517e+110 vs 1.49570249141e+110 GP iteration 0 has relaxed constants Cost ---- 1.496e+110 Free Variables -------------- | Mission.Aircraft.Engine.Turbine.Relax C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine | Mission.Aircraft.Fuselage.Relax l_{nose} : 1.042 Nose length n_{pass} : [ 2.86 ] Number of passengers | Mission.Aircraft.Relax f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift | Mission.Aircraft.Wing.WingNoStruct.Relax \tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle | Mission.FlightState.Atmosphere.Relax L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level | Mission.Relax R_{req} : 2.362 Required Cruise Range GP iteration 1 has relaxed constants Cost ---- 7.486e+74 Free Variables -------------- | Mission.Aircraft.Engine.Combustor.Relax hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2 | Mission.Aircraft.Fuselage.Relax n_{pass} : [ 1.03 ] Number of passengers | Mission.Aircraft.LandingGear.Relax h_{hold} : 1.006 Hold height Solution check warning: Primal solution computed cost did not match solver-returned cost: 3.705337509065908e+72 vs 3.70520528258e+72 WEIGHT DIFFERENCES Total Fuel Weight Percent Diff: [-92.94682624] Total Aircraft Weight Percent Diff: [-21.48055733] Engine Weight Percent Diff: -56.27818362379747 Fuselage Weight Percent Diff: -0.8697362691052356 Payload Weight Percent Diff: [-0.0400356] VT Weight Percent Diff: -8.607866130527928 HT Weight Percent Diff: -93.23329139926567 Wing Weight Percent Diff: 8.267489245824166 WING DIFFERENCES Wing Span Percent Diff: -0.02999324793384736 Wing Area Percent Diff: 32.899936572099996 HORIZONTAL TAIL DIFFERENCES HT Area Percent Diff: 40.48900988637332 VERTICAL TAIL DIFFERENCES VT Span Percent Diff: -11.02233933720295 VT Area Percent Diff: -60.38683466018138 CRUISE SEGMENT 1 DRAG DIFFERENCES Overall Cd Percent Diff: [-18.54726056] L/D Percent Diff: [24.01022369] Nacelle Cd Percent Diff: [-94.27641803] HT Cd Percent Diff: [-80.76939309] dimensionless Fuselage Cd Percent Diff: [108.78752887] VT Cd Percent Diff: [-58.00298763] dimensionless Wing Cd percent Diff: [-14.22922039] Induced Drag Cd Percent Diff: [1.2194163] CRUISE SEGMENT 1 TSFC DIFFERENCES Initial Cruise TSFC Percent Diff: [-90.57036204] FUSELAGE DIFFERENCES Weight of HB material: -38.360804844391055 Weight of VB material: 87.81770550964215 Fan Propulsive Efficiency in Cruise Segment 1 --------------------- [0.71260526] Mission1 ======== Cost ---- W_{f_{total}}[:].sum() Constraints ----------- W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin} PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:]) x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:]) x_{CG}[3] <= \Delta x_n + x_n \Delta x_m + x_{CG}[3] >= x_m \tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m C_{D_{fuse}}[:] = 0.018081 M_{fuseD} = 0.72 W_{start}[0] = W_{total}[:] W_{start}[:] >= W_{end}[:] + W_{burn}[:] W_{start}[1:] = W_{end}[:4] W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1] W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2] W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1] hft[2] >= CruiseAlt hft[1:5] = hft[:4] + dhft[1:5] hft[0] = dhft[0] dhft[1:3] = dhft[:2] RC[0] >= 2.5e+03 RC[:3] >= RC_{min}[:3] \theta[2] >= 0.015 hft[2] >= MinCruiseAlt n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:] R_{segment}[3:4] = R_{segment}[4:5] M[3:5] >= M_{min} 0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req} Fsafetyfac*F[0] = T_e W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:] V_2[:] = M_2[:]*a[:] \alpha_{max,w}[:3] = 0.18 \alpha_{max,w}[3:] = 0.1 0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime 0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime ClimbTime <= MaxClimbTime T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}} F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 OPR[:] <= OPR_{max} Aircraft Fuselage W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on} W_{pass}[:] >= n_{pass}[:]*W_{avg. pass} W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo} W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}} W_{payload}[:] <= W_{payload_{max}} n_{pass}[:] <= n_{seat} n_{rows} = n_{seat}/SPR l_{shell} = n_{rows}*p_s \theta_{db} = w_{db}/R_{fuse} R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db} A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db} (PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse} A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin} w_{floor} = w_{fuse} R_{fuse} + w_{db} >= w_{fuse} h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse} t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell} S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2 S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2 l_{fuse} = l_{nose} + l_{shell} + l_{cone} l_{cone} = R_{fuse}/\lambda_{cone} x_{shell1} = l_{nose} x_{shell2} >= l_{nose} + l_{shell} t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin} t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin} \sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell}) \sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin} l_{floor} >= l_{shell} + 2*R_{fuse} P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat}) A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor} V_{floor} = 2*w_{floor}*A_{floor} W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor} \tau_{cone} = \sigma_{skin} W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame}) x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone} -2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}} (PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}} x_{hbend_{Land}} >= x_{wing} x_{hbend_{Land}} <= l_{fuse} x_{hbend_{MLF}} >= x_{wing} x_{hbend_{MLF}} <= l_{fuse} A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}}) A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}}) A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2) A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}} A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}} A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}} A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}} A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}} A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}} V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}} W_{hbend} >= g*\rho_{bend}*V_{hbend} x_{vbend} >= x_{wing} x_{vbend} <= l_{fuse} B_{0v} = B_{1v}*(x_{tail} - x_{vbend}) B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2) B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}} 0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}} V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}} W_{vbend} >= \rho_{bend}*g*V_{vbend} x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c} x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v} V_{cyl} = A_{skin}*l_{shell} V_{nose} = S_{nose}*t_{skin} V_{bulk} = S_{bulk}*t_{skin} V_{db} = A_{db}*l_{shell} V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse}) W_{apu} = W_{payload_{max}}*f_{apu} W_{db} = \rho_{skin}*g*V_{db} W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk}) W_{window} >= W'_{window}*l_{shell} W_{padd} = W_{payload_{max}}*f_{padd} W_{seat} >= W'_{seat}*n_{seat} W_{seat} >= f_{seat}*W_{payload_{max}} W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk}) W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db} W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone}) Wing WingNoStruct A_{rect} = c_{tip}*b 0.5*(1 - \lambda)*c_{root}*b <= A_{tri} p >= 1 + 2*\lambda 2*q >= 1 + p y_{mac} = b/3*q/p mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q \lambda = c_{tip}/c_{root} S = b*(c_{root} + c_{tip})/2 0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w) e*(1 + f(\lambda_w)*AR) <= 1 \lambda >= 0.15 V_{fuel, max} <= 0.303*mac^2*b*\tau W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g b <= b_{max} WingBox AR = b^2/S 0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5) \tau <= \tau_{max_w} W_{struct} >= W_{web} + W_{cap} AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5) Mission1.Aircraft.Wing.WingBox.N_{lift} = 3 Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8 \lambda = taper W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt}) 0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}} Engine Compressor (no constraints) Combustor (no constraints) Turbine (no constraints) Thrust (no constraints) FanMap (no constraints) LPCMap (no constraints) HPCMap (no constraints) Sizing A_{2} >= A_{5} + A_{7} FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) EnginePerformance CompressorPerformance T_{t_0}[:] = T_{atm}[:]/c1[:]^-1 h_{t_0}[:] = C_{p_{air}*T_{t_0}[:] P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:] T_{t_{1.8}}[:] = T_{t_0}[:] h_{t_{1.8}}[:] = h_{t_0}[:] P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5 T_{T_{2}}[:] = T_{t_{1.8}}[:] h_{T_{2}}[:] = h_{t_{1.8}}[:] P_{T_{2}}[:] = P_{t_{1.8}}[:] P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016 h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:] P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:] T_{t_7}[:] = T_{t_{2.1}}[:] h_{t_7}[:] = h_{t_{2.1}}[:] P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152 h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1} P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:] T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491 h_{t_3}[:] = C_{p_{2}*T_{t_3}[:] CombustorPerformance h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:] h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:] fp1[:] = f[:] + 1 M_{4a}[:] = 0.1025 fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5 T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]] P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891 u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a} u_c[:] = r_{uc}*u_{4a}[:] P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891 TurbinePerformance h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:] P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:] \pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565 h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:] P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:] T_{t_5}[:] = T_{t_{4.9}}[:] h_{t_5}[:] = h_{t_{4.9}}[:] ThrustPerformance P_{8}[:] = P_{atm}[:] h_{8}[:] = C_{p_{fex}*T_{8}[:] u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:] (P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:] h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:] P_{6}[:] = P_{atm}[:] (P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:] u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:] h_6[:] = C_{p_{tex}*T_{6}[:] h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:] \alpha[:] = m_{fan}[:]/m_{core}[:] \alpha_{+1}[:] = \alpha[:] + 1 \alpha[:] <= \alpha_{max} F[:] <= F_{6}[:] + F_{8}[:] F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:]) TSFC[:] = 1/I_{sp}[:] F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:] FanMapPerformance m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}} LPCMapPerformance m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D} HPCMapPerformance m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D} SizingPerformance P_{7}[:] >= P_{atm}[:] M_7[:] <= 1 a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5 a_{7}[:]*M_7[:] = u_{7}[:] \rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:]) P_{5}[:] >= P_{atm}[:] M_5[:] <= 1 a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5 a_{5}[:]*M_5[:] = u_{5}[:] \rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:]) h_{2}[:] = C_{p_{1}*T_{2}[:] \rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]) u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^0.5 h_{2.5}[:] = C_{p_{2}*T_{2.5}[:] \rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]) u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5 m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine} d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5 d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5 \eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]]) h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:] P_{t_4}[:] = \pi_{b}*P_{t_3}[:] M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]] M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]]) P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:] \pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013 \pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10 \pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10 \pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10 m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{f}[:] >= 1 \pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10 \pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:] >= 1 m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10 \pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10 \pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10 m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref}) \pi_{hc}[:] >= 1 OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:] P_{t_8}[:] = P_{t_7}[:] T_{t_8}[:] = T_{t_7}[:] P_{t_6}[:] = P_{t_5}[:] T_{t_6}[:] = T_{t_5}[:] F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:] I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g) N_{f}[:]*G_{f} = N_{1}[:] N_{1}[:] <= 1.1 N_{2}[:] <= 1.1 fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD} fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD} P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5 (T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2 P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979 (T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2 M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:] m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:] m_{total}[:] = m_{fan}[:] + m_{core}[:] P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512 T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1 m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2} P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857 T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1 m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD} m_{lc_D} >= 0.7*m_{coreD}/0.649 m_{lc_D} <= 1.3*m_{coreD}/0.649 m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23 m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23 \bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405 \bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405 F[:] = F_{spec}[:] T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}} OPR[:] <= OPR_{max} VerticalTail VerticalTailNoStruct C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}} L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}} c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt})) A_{vt} = b_{vt}^2/S_{vt} b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt} p_{vt} >= 1 + 2*\lambda_{vt} 2*q_{vt} >= 1 + p_{vt} y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} 0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt} \lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}} \Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}} \Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt} \lambda_{vt} >= 0.25 V_{vt} >= V_{vt_{min}} WingBox AR_{vt} = (2*b_{vt})^2/(2*S_{vt}) 0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) \tau_{vt} <= 0.14 W_{struct} >= 0.5*(W_{web} + W_{cap}) Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24 AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1 Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8 \lambda_{vt} = taper W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT}) HorizontalTail HorizontalTailNoStruct \Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht} \Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}} p_{ht} >= 1 + 2*\lambda_{ht} 2*q_{ht} >= 1 + p_{ht} y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht} 0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht} \lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}} S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2 0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht}) e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1 AR_{ht} = b_{ht}^2/S_{ht} \lambda_{ht} >= 0.2 \lambda_{ht} <= 1 WingBox AR_{ht} = b_{ht}^2/S_{ht} 0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) \tau_{ht} <= 0.14 W_{struct} >= W_{web} + W_{cap} L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2 L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht}) 2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1 Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8 L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht} L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}} W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht}) LandingGear l_n + z_{wing} + y_m*\tan(\gamma) >= l_m T = 2*y_m x_m >= x_n + B x_n >= 5 \tan(\phi) = \tan(\phi_{min}) (z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1 \tan(\psi) <= \tan(\psi_{max}) x_{up} - x_m <= l_m/\tan(\theta_{max}) y_m >= l_m S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG}) l_{oleo} = 2.5*S_{sa} d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5 l_m >= l_{oleo} + d_{t_m}/2 F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in]) W_{wa,m} = 1.2*F_{w_m}^0.609 F_{w_n} = L_{w_n}*d_{t_n}/1e+03 W_{wa,n} = 1.2*F_{w_n}^0.609 L_{w_m} = L_m/(n_{mg}*n_{wps}) L_{w_n} = L_n/n_{wps} d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315 w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48 d_{t_n} = 0.8*d_{t_m} w_{t_n} = 0.8*w_{t_m} W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m W_{mw} = n_{wps}*W_{wa,m} W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g \sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}}) W_{nw} >= n_{wps}*W_{wa,n} L_m <= 9.87*E*I_m/(K*l_m)^2 I_m = PI*r_m^3*t_m L_n <= 9.87*E*I_n/(K*l_n)^2 I_n = PI*r_n^3*t_n 2*r_m/t_m <= 40 2*r_m/t_n <= 40 h_{hold} >= 2*w_{t_m} + 2*r_m 0.8 >= 2*w_{t_n} + 2*r_n W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m})) W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n}) W_{lg} >= C_{lg}*(W_{mg} + W_{ng}) W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m x_m >= x_{CG_{lg}} c_{root} = c_0 Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c} x_w = x_{wing} Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift} f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}} W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc} W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:] W_{total}[:] <= W_{total, max} f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}} W_{misc} >= W_{lg} + W_{hpesys} W_{hpesys} = f_{hpesys}*W_{total, max} x_n <= l_{nose} x_m >= x_{wing} \Delta x_{AC_{wing}} + x_{wing} >= x_m x_{hpesys} = 1.1*l_{nose} x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys} d_{nacelle} >= d_{f} + 2*t_{nacelle} E_{land} >= W_{total, max}/(2*g)*w_{ult}^2 x_{up} = x_{shell2} L_n = W_{total, max}*\Delta x_m/B L_m = W_{total, max}*\Delta x_n/B L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max} y_{eng} >= y_m 3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}} V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse} W_{tail} >= n_{vt}*W_{vt} + W_{ht} 2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db} B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v}) m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht} x_{CG_{ht}} <= l_{fuse} V_{ht} = S_{ht}*l_{ht}/(S*mac) L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}} L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}} x_{CG_{vt}} <= l_{fuse} V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b) n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max} n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng} D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}} I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:] I_{z}[:] <= I_{z, max} S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2 l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}} f_{S_{nacelle}} = S_{nacelle}*S^-1 A_{inlet} = 0.4*S_{nacelle} A_{fancowl} = 0.2*S_{nacelle} A_{exh} = 0.4*S_{nacelle} A_{corecowl} = 3PI*d_{LPC}^2 W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl}) W_{eadd} = f_{eadd}*W_{engine} W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon} W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine}) y_{eng} = 0.5*w_{fuse} (L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root} A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend}) A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h}) I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16) I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81 I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81) x_{shell2} + l_{cone} >= x_{eng} x_{eng} >= x_{shell2} + 0.75*l_{cone} S_{floor} = 0.312*P_{floor} M_{floor} = 0.0352*P_{floor}*w_{floor} \Delta R_{fuse} = R_{fuse}*0.43/1.75 b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2 b_{ht_{out}} = 0.5*b_{ht} - w_{fuse} L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}} M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}} L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}} c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach} \pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht}) FlightSegment FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) FlightP P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:] RC[:] = P_{excess}[:]/W_{avg}[:] \theta[:]*V[:] = RC[:] dhft[:] = tmin[:]*RC[:] R_{segment}[:] = thr[:]*V[:] WingPerformance 0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:] \Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:] \Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2 (AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2 C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:] \alpha_w[:] <= \alpha_{max,w}[:] D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:] C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:] C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR) Re_w[:] = \rho[:]*V[:]*mac/\mu[:] C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114 FuselagePerformance (no constraints) VerticalTailPerformance D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:] Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:] C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577 HorizontalTailPerformance L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:] C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:] \alpha_{ht}[:] <= \alpha_{ht,max} C_{L_{\alpha,ht_0}}[:] = 6.28 D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:] C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht}) Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:] C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852 W_{burn}[:] = W_{burn}[:] F_{fuel}[:] = F_{fuel}[:] \rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:]) P_{cabin}[:] = 7.5e+04 T_{cabin}[:] = 297 V[:] >= V_{stall}[:] W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:] tmin[:] = thr[:] L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:] L_{total}[:] = f_{L_{total/wing}}*L_w[:] L_{total}[:] >= W_{avg}[:] + L_{ht}[:] D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2 D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:]) C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S) L/D[:] = W_{avg}[:]/D[:] W_{Load}[:] <= W_{Load_{max}}[:] W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S p_{o}[:] >= L_w[:]*c_{root}/S \eta_{o}[:] = w_{fuse}/(b/2) x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:] c_{m_{w}}[:] = 1.9 x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2) x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse} x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}} x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}} C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht} AR_{ht} >= 4 C_{L_{ht}}[:] >= 0.01 SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac SM[:] >= SM_{min} SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}} x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:] R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:] C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2 V_{nacelle}[:] = r_{v_{nacelle}}*V[:] V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]] r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0) C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0 D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S \Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}} M_2[:3] = M[:3] M_{2.5}[:3] = 0.6 hold_{2}[:3] = 1.07164 hold_{2.5}[:3] = 1.06372 P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:] c1[:] = 1 + 0.201*M[:]^2.0 M_2[3:] = M[3:] M_{2.5}[3:] = 0.6 hold_{2}[3:] = 1.07164 hold_{2.5}[3:] = 1.06372 Beginning signomial solve. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 945 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 945 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 775 Optimizer - Cones : 0 Optimizer - Scalar variables : 3450 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281666983e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.261218226e+05 3.598635511e+00 4.9e-01 0.88 2 4.2e+02 5.4e+02 2.3e+04 -9.38e-01 -1.196986776e+05 1.049612556e+01 1.8e-01 1.42 3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.152517365e+05 6.526812103e+01 1.3e-01 1.45 4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127868408e+05 2.118228548e+03 1.3e-01 1.52 5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.068799576e+04 8.526618424e+03 3.9e-02 1.56 6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.760458966e+04 1.028990388e+04 1.6e-02 2.70 7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.157726260e+04 7.236293748e+03 9.5e-03 4.41 8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.509593591e+04 4.206138280e+03 4.2e-03 5.98 9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.773768620e+03 2.846846543e+03 2.5e-03 7.74 10 1.4e+00 1.8e+00 7.7e+01 9.08e-01 -2.041784782e+03 9.404571849e+02 6.1e-04 9.42 11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.319589353e+02 7.263088852e+02 3.2e-04 10.43 12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.792739518e+02 5.657797535e+02 2.2e-04 11.19 13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.146735073e+02 4.898416787e+02 1.6e-04 12.56 14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.839482231e+01 3.675794473e+02 7.9e-05 12.89 15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.625345294e+02 2.906236598e+02 2.7e-05 14.45 16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.998987374e+02 2.749101314e+02 1.6e-05 16.34 17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445645877e+02 2.572751647e+02 2.8e-06 17.30 18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509515436e+02 2.547018908e+02 8.4e-07 17.36 19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527847280e+02 2.540260964e+02 2.8e-07 17.40 20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532886538e+02 2.538372319e+02 1.2e-07 18.25 21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533297254e+02 2.538234601e+02 1.1e-07 19.54 22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533655498e+02 2.538098865e+02 1.0e-07 20.05 23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533978341e+02 2.537977209e+02 9.0e-08 21.22 24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534268639e+02 2.537867483e+02 8.1e-08 21.92 25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534529723e+02 2.537768567e+02 7.3e-08 21.94 26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534764526e+02 2.537679389e+02 6.6e-08 23.79 27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534975715e+02 2.537599012e+02 5.9e-08 25.59 28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535165675e+02 2.537526578e+02 5.3e-08 26.32 29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535336549e+02 2.537461308e+02 4.8e-08 27.69 30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535490262e+02 2.537402502e+02 4.3e-08 29.14 31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535628541e+02 2.537349522e+02 3.9e-08 30.52 32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535752940e+02 2.537301795e+02 3.5e-08 30.90 33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535864855e+02 2.537258803e+02 3.1e-08 31.01 34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535965542e+02 2.537220077e+02 2.8e-08 32.23 35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536056128e+02 2.537185196e+02 2.5e-08 32.81 36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536137629e+02 2.537153779e+02 2.3e-08 33.17 37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536210956e+02 2.537125484e+02 2.1e-08 33.20 38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276932e+02 2.537100000e+02 1.9e-08 33.23 39 2.9e-05 1.8e-02 1.9e-03 1.00e+00 2.536336294e+02 2.537077051e+02 1.7e-08 33.29 40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389705e+02 2.537056383e+02 1.5e-08 34.89 41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437764e+02 2.537037772e+02 1.4e-08 35.48 42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536481008e+02 2.537021013e+02 1.2e-08 36.78 43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536519919e+02 2.537005922e+02 1.1e-08 37.36 44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554932e+02 2.536992334e+02 9.9e-09 37.42 45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586439e+02 2.536980100e+02 8.9e-09 38.05 46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614790e+02 2.536969086e+02 8.0e-09 39.51 47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536640303e+02 2.536959169e+02 7.2e-09 40.12 48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536663262e+02 2.536950241e+02 6.5e-09 42.00 49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683922e+02 2.536942204e+02 5.8e-09 43.70 50 9.0e-06 1.1e-02 6.0e-04 1.00e+00 2.536702514e+02 2.536934968e+02 5.2e-09 45.29 51 8.1e-06 1.0e-02 5.4e-04 1.00e+00 2.536719246e+02 2.536928455e+02 4.7e-09 47.20 52 7.3e-06 1.0e-02 4.9e-04 1.00e+00 2.536734303e+02 2.536922591e+02 4.3e-09 48.00 53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747854e+02 2.536917313e+02 3.8e-09 48.34 54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536760048e+02 2.536912562e+02 3.4e-09 50.11 55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536771022e+02 2.536908285e+02 3.1e-09 51.92 56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780898e+02 2.536904435e+02 2.8e-09 53.79 57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789786e+02 2.536900970e+02 2.5e-09 55.18 58 3.9e-06 8.9e-03 2.6e-04 1.00e+00 2.536797785e+02 2.536897850e+02 2.3e-09 55.55 59 3.5e-06 8.8e-03 2.3e-04 1.00e+00 2.536804983e+02 2.536895042e+02 2.0e-09 55.85 60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811461e+02 2.536892515e+02 1.8e-09 55.89 61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536847023e+02 2.536878624e+02 7.1e-10 55.92 62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849302e+02 2.536877743e+02 6.4e-10 55.95 63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862403e+02 2.536872621e+02 2.3e-10 57.86 64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863138e+02 2.536872335e+02 2.1e-10 59.84 65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863799e+02 2.536872076e+02 1.9e-10 60.76 66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864394e+02 2.536871843e+02 1.7e-10 61.56 67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864930e+02 2.536871634e+02 1.5e-10 62.12 68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865412e+02 2.536871445e+02 1.4e-10 62.76 69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865845e+02 2.536871275e+02 1.2e-10 64.60 70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866236e+02 2.536871122e+02 1.1e-10 66.30 71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866587e+02 2.536870984e+02 9.9e-11 68.18 72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866903e+02 2.536870861e+02 8.9e-11 69.65 73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867188e+02 2.536870749e+02 8.0e-11 69.98 74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867444e+02 2.536870649e+02 7.2e-11 70.78 75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867674e+02 2.536870559e+02 6.5e-11 72.73 76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867882e+02 2.536870477e+02 5.9e-11 72.78 77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868068e+02 2.536870404e+02 5.3e-11 73.43 78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868236e+02 2.536870339e+02 4.8e-11 74.96 79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868388e+02 2.536870279e+02 4.3e-11 76.19 80 6.6e-08 1.8e-04 4.4e-06 9.99e-01 2.536868524e+02 2.536870226e+02 3.9e-11 76.22 81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868646e+02 2.536870178e+02 3.5e-11 78.20 82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868757e+02 2.536870134e+02 3.1e-11 78.54 83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868857e+02 2.536870095e+02 2.8e-11 78.56 84 4.3e-08 1.2e-04 2.9e-06 9.93e-01 2.536868946e+02 2.536870060e+02 2.5e-11 78.61 85 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869027e+02 2.536870028e+02 2.3e-11 79.40 86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869100e+02 2.536870000e+02 2.1e-11 80.80 87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869166e+02 2.536869974e+02 1.9e-11 81.34 88 2.8e-08 7.8e-05 1.9e-06 9.99e-01 2.536869224e+02 2.536869951e+02 1.7e-11 82.43 89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869276e+02 2.536869931e+02 1.5e-11 84.29 90 2.3e-08 6.3e-05 1.5e-06 9.95e-01 2.536869323e+02 2.536869912e+02 1.4e-11 86.31 91 2.1e-08 5.7e-05 1.4e-06 1.00e+00 2.536869366e+02 2.536869896e+02 1.2e-11 87.66 92 1.9e-08 5.1e-05 1.2e-06 1.00e+00 2.536869404e+02 2.536869881e+02 1.1e-11 88.93 93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869438e+02 2.536869867e+02 9.9e-12 89.72 94 1.5e-08 4.1e-05 1.0e-06 9.93e-01 2.536869469e+02 2.536869855e+02 8.9e-12 91.52 95 1.3e-08 3.7e-05 9.1e-07 1.00e+00 2.536869497e+02 2.536869844e+02 8.0e-12 91.98 96 1.2e-08 3.4e-05 8.1e-07 9.90e-01 2.536869522e+02 2.536869835e+02 7.2e-12 92.03 97 1.1e-08 3.0e-05 7.3e-07 1.00e+00 2.536869544e+02 2.536869826e+02 6.5e-12 92.09 98 9.8e-09 2.7e-05 6.6e-07 9.80e-01 2.536869564e+02 2.536869818e+02 5.8e-12 92.13 Interior-point optimizer terminated. Time: 92.15. Optimizer terminated. Time: 92.16 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 2.5368695645e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 2.5368698181e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 92.2 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.282478222e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.260309133e+05 3.765030466e+00 4.7e-01 1.15 2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.206226199e+05 9.889101589e+00 2.0e-01 1.21 3 2.9e+02 3.7e+02 1.6e+04 -8.49e-01 -1.154649667e+05 5.287064955e+01 1.3e-01 1.32 4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133003651e+05 1.900915469e+03 1.3e-01 3.03 5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.788392958e+04 9.190691816e+03 3.6e-02 3.47 6 3.6e+01 4.6e+01 2.0e+03 -2.50e-01 -4.647713314e+04 1.020087225e+04 1.6e-02 3.51 7 1.8e+01 2.4e+01 1.0e+03 2.81e-01 -2.766870139e+04 6.418304642e+03 8.1e-03 4.54 8 9.2e+00 1.2e+01 5.1e+02 6.08e-01 -1.469555397e+04 4.041871914e+03 4.1e-03 5.57 9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.070668457e+03 2.774702773e+03 2.5e-03 6.92 10 2.0e+00 2.5e+00 1.1e+02 9.04e-01 -3.094061885e+03 1.193657190e+03 8.8e-04 8.85 11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.466457355e+03 1.043401206e+03 7.2e-04 10.03 12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.308690283e+03 6.778787460e+02 4.0e-04 11.44 13 4.5e-01 6.9e-01 2.5e+01 9.85e-01 -5.549298803e+02 4.398443244e+02 2.0e-04 13.69 14 2.3e-01 3.6e-01 1.3e+01 9.98e-01 -1.980184076e+02 3.180837959e+02 1.1e-04 14.23 15 1.0e-01 1.7e-01 5.8e+00 1.00e+00 1.009292717e+01 2.372083399e+02 4.7e-05 16.25 16 5.1e-02 1.1e-01 2.9e+00 1.00e+00 9.056222399e+01 2.045814344e+02 2.4e-05 17.00 17 1.0e-02 1.5e-01 6.3e-01 1.00e+00 1.546595148e+02 1.792230598e+02 5.3e-06 17.01 18 6.3e-03 1.1e-01 3.9e-01 1.01e+00 1.614768358e+02 1.765369238e+02 3.2e-06 19.08 19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694450706e+02 1.735001825e+02 8.9e-07 19.33 20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717838482e+02 1.726276254e+02 1.9e-07 20.52 21 1.4e-04 1.1e-01 9.3e-03 9.93e-01 1.721423969e+02 1.725031081e+02 8.2e-08 21.49 22 8.9e-05 8.4e-02 5.9e-03 1.00e+00 1.722365069e+02 1.724653332e+02 5.2e-08 21.51 23 8.0e-05 7.8e-02 5.3e-03 1.00e+00 1.722544583e+02 1.724604742e+02 4.7e-08 21.55 24 7.2e-05 7.1e-02 4.8e-03 1.00e+00 1.722695531e+02 1.724549693e+02 4.2e-08 21.61 25 6.5e-05 6.5e-02 4.3e-03 1.00e+00 1.722831749e+02 1.724500487e+02 3.8e-08 21.65 26 5.8e-05 5.9e-02 3.9e-03 1.00e+00 1.722954056e+02 1.724455907e+02 3.4e-08 23.33 27 5.2e-05 5.4e-02 3.5e-03 1.00e+00 1.723064005e+02 1.724415654e+02 3.1e-08 24.43 28 4.7e-05 4.9e-02 3.2e-03 1.00e+00 1.723162809e+02 1.724379276e+02 2.8e-08 26.30 29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723251597e+02 1.724346402e+02 2.5e-08 28.22 30 3.8e-05 4.2e-02 2.6e-03 1.00e+00 1.723331385e+02 1.724316696e+02 2.2e-08 28.30 31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723403088e+02 1.724289856e+02 2.0e-08 28.40 32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723467531e+02 1.724265612e+02 1.8e-08 30.06 33 2.8e-05 3.3e-02 1.9e-03 1.00e+00 1.723525456e+02 1.724243720e+02 1.6e-08 30.39 34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723577527e+02 1.724223958e+02 1.5e-08 31.07 35 2.3e-05 2.8e-02 1.5e-03 1.00e+00 1.723624341e+02 1.724206124e+02 1.3e-08 32.74 36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723666434e+02 1.724190034e+02 1.2e-08 32.79 37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723704284e+02 1.724175520e+02 1.1e-08 32.84 38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723738321e+02 1.724162431e+02 9.7e-09 34.03 39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723768931e+02 1.724150629e+02 8.7e-09 35.03 40 1.3e-05 2.0e-02 8.9e-04 1.00e+00 1.723796461e+02 1.724139988e+02 7.8e-09 35.05 41 1.2e-05 1.9e-02 8.0e-04 1.00e+00 1.723821222e+02 1.724130395e+02 7.0e-09 35.09 42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723843493e+02 1.724121749e+02 6.3e-09 36.80 43 9.7e-06 1.6e-02 6.5e-04 1.00e+00 1.723863527e+02 1.724113956e+02 5.7e-09 37.28 44 8.7e-06 1.6e-02 5.8e-04 1.00e+00 1.723881547e+02 1.724106934e+02 5.1e-09 37.31 45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723897757e+02 1.724100606e+02 4.6e-09 37.37 46 7.1e-06 1.4e-02 4.7e-04 1.00e+00 1.723912340e+02 1.724094904e+02 4.2e-09 39.05 47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723925459e+02 1.724089767e+02 3.7e-09 39.62 48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723937261e+02 1.724085139e+02 3.4e-09 39.65 49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723947880e+02 1.724080970e+02 3.0e-09 40.73 50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723957433e+02 1.724077215e+02 2.7e-09 41.77 51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723966028e+02 1.724073832e+02 2.5e-09 41.84 52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723973762e+02 1.724070785e+02 2.2e-09 43.55 53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980720e+02 1.724068042e+02 2.0e-09 44.11 54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986981e+02 1.724065571e+02 1.8e-09 44.16 55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992614e+02 1.724063345e+02 1.6e-09 45.19 56 2.5e-06 9.8e-03 1.7e-04 1.00e+00 1.723997683e+02 1.724061342e+02 1.4e-09 46.32 57 2.2e-06 9.6e-03 1.5e-04 1.00e+00 1.724002244e+02 1.724059537e+02 1.3e-09 46.36 58 2.0e-06 9.4e-03 1.3e-04 1.00e+00 1.724006348e+02 1.724057912e+02 1.2e-09 46.42 59 1.8e-06 9.2e-03 1.2e-04 1.00e+00 1.724010041e+02 1.724056449e+02 1.1e-09 47.11 60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013364e+02 1.724055132e+02 9.5e-10 48.53 61 1.5e-06 8.9e-03 9.8e-05 1.00e+00 1.724016355e+02 1.724053945e+02 8.6e-10 48.57 62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724019045e+02 1.724052877e+02 7.7e-10 48.59 63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021467e+02 1.724051916e+02 6.9e-10 48.67 64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023646e+02 1.724051050e+02 6.2e-10 48.69 65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025606e+02 1.724050270e+02 5.6e-10 50.73 66 8.6e-07 8.3e-03 5.8e-05 1.00e+00 1.724027371e+02 1.724049568e+02 5.1e-10 50.80 67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028958e+02 1.724048936e+02 4.5e-10 50.84 68 7.0e-07 8.2e-03 4.7e-05 1.00e+00 1.724030387e+02 1.724048367e+02 4.1e-10 50.93 69 6.3e-07 8.1e-03 4.2e-05 1.00e+00 1.724031673e+02 1.724047855e+02 3.7e-10 50.95 70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032830e+02 1.724047394e+02 3.3e-10 51.80 71 5.1e-07 8.0e-03 3.4e-05 1.00e+00 1.724033871e+02 1.724046979e+02 3.0e-10 52.75 72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034808e+02 1.724046605e+02 2.7e-10 53.04 73 4.1e-07 7.9e-03 2.8e-05 1.00e+00 1.724035651e+02 1.724046268e+02 2.4e-10 53.08 74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036410e+02 1.724045965e+02 2.2e-10 53.12 75 3.3e-07 7.8e-03 2.2e-05 1.00e+00 1.724037092e+02 1.724045693e+02 2.0e-10 54.82 76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037707e+02 1.724045447e+02 1.8e-10 55.33 77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038260e+02 1.724045226e+02 1.6e-10 55.38 78 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038757e+02 1.724045027e+02 1.4e-10 55.43 79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039205e+02 1.724044848e+02 1.3e-10 55.47 80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039608e+02 1.724044686e+02 1.2e-10 55.50 81 1.8e-07 7.6e-03 1.2e-05 1.00e+00 1.724039970e+02 1.724044541e+02 1.0e-10 57.46 82 1.6e-07 7.6e-03 1.1e-05 1.00e+00 1.724040297e+02 1.724044410e+02 9.4e-11 57.58 83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040590e+02 1.724044293e+02 8.4e-11 59.28 84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040854e+02 1.724044187e+02 7.6e-11 61.16 85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041092e+02 1.724044091e+02 6.8e-11 62.07 86 1.0e-07 7.5e-03 7.0e-06 1.00e+00 1.724041306e+02 1.724044005e+02 6.1e-11 64.03 87 9.4e-08 7.4e-03 6.3e-06 9.99e-01 1.724041499e+02 1.724043928e+02 5.5e-11 64.32 88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041672e+02 1.724043858e+02 5.0e-11 66.01 89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041828e+02 1.724043796e+02 4.5e-11 68.13 90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041968e+02 1.724043739e+02 4.0e-11 69.60 91 6.2e-08 7.4e-03 4.1e-06 1.00e+00 1.724042095e+02 1.724043688e+02 3.6e-11 70.49 92 5.6e-08 7.4e-03 3.7e-06 9.99e-01 1.724042208e+02 1.724043643e+02 3.3e-11 71.35 93 5.0e-08 7.4e-03 3.3e-06 1.00e+00 1.724042310e+02 1.724043601e+02 2.9e-11 72.55 94 4.5e-08 7.3e-03 3.0e-06 9.97e-01 1.724042402e+02 1.724043564e+02 2.6e-11 73.56 95 4.1e-08 7.3e-03 2.7e-06 9.98e-01 1.724042485e+02 1.724043531e+02 2.4e-11 74.68 96 3.6e-08 7.3e-03 2.4e-06 1.00e+00 1.724042560e+02 1.724043501e+02 2.1e-11 75.72 97 3.3e-08 7.3e-03 2.2e-06 9.99e-01 1.724042627e+02 1.724043474e+02 1.9e-11 77.42 98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042687e+02 1.724043450e+02 1.7e-11 78.17 99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042742e+02 1.724043428e+02 1.6e-11 79.03 100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042791e+02 1.724043408e+02 1.4e-11 80.45 101 2.2e-08 7.3e-03 1.4e-06 1.00e+00 1.724042835e+02 1.724043390e+02 1.3e-11 81.89 102 1.9e-08 7.3e-03 1.3e-06 1.00e+00 1.724042874e+02 1.724043374e+02 1.1e-11 82.64 103 1.7e-08 6.5e-03 1.2e-06 1.00e+00 1.724042910e+02 1.724043360e+02 1.0e-11 82.67 104 1.6e-08 5.9e-03 1.1e-06 1.00e+00 1.724042942e+02 1.724043347e+02 9.2e-12 83.55 105 1.4e-08 5.3e-03 9.5e-07 1.00e+00 1.724042971e+02 1.724043335e+02 8.3e-12 84.57 106 3.5e-09 1.3e-03 2.4e-07 1.00e+00 1.724043165e+02 1.724043256e+02 2.1e-12 84.92 107 3.2e-09 1.2e-03 2.1e-07 9.97e-01 1.724043172e+02 1.724043253e+02 1.9e-12 86.66 108 7.0e-10 2.6e-04 4.6e-08 1.00e+00 1.724043217e+02 1.724043235e+02 4.1e-13 87.12 Interior-point optimizer terminated. Time: 87.12. Optimizer terminated. Time: 87.13 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.7240432173e+02 Viol. con: 1e-08 var: 0e+00 Dual. obj: 1.7240432351e+02 Viol. con: 0e+00 var: 2e-03 * End solution on dual form. * Transforming to primal solution. Solving took 87.1 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285051268e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263516769e+05 3.622987557e+00 4.8e-01 1.87 2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203749035e+05 1.006399242e+01 1.9e-01 1.98 3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.156664674e+05 6.036391468e+01 1.3e-01 2.03 4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131640658e+05 2.177939358e+03 1.3e-01 2.08 5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.692505546e+04 9.482544107e+03 3.5e-02 3.38 6 4.0e+01 5.1e+01 2.2e+03 -2.30e-01 -5.033254117e+04 1.013241901e+04 1.8e-02 4.45 7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.131699564e+04 8.369855313e+03 1.3e-02 5.36 8 1.8e+01 2.3e+01 1.0e+03 3.84e-01 -2.789882703e+04 5.363497277e+03 8.0e-03 6.25 9 7.8e+00 1.0e+01 4.3e+02 6.13e-01 -1.276861984e+04 3.127656937e+03 3.4e-03 6.45 10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.365155452e+03 2.113270001e+03 1.8e-03 7.38 11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.529556770e+03 1.328167280e+03 1.0e-03 8.21 12 9.6e-01 1.2e+00 5.4e+01 9.75e-01 -1.403511578e+03 6.746283083e+02 4.3e-04 8.73 13 7.9e-01 1.0e+00 4.5e+01 9.75e-01 -1.156768387e+03 5.907339101e+02 3.5e-04 8.85 14 7.4e-01 9.7e-01 4.2e+01 9.79e-01 -1.057471268e+03 5.717600256e+02 3.3e-04 9.38 15 2.6e-01 3.8e-01 1.5e+01 9.81e-01 -2.737786808e+02 3.081500633e+02 1.2e-04 9.68 16 1.5e-01 3.5e-01 8.3e+00 1.01e+00 -8.642075770e+01 2.392252469e+02 6.7e-05 10.23 17 8.3e-02 2.1e-01 4.8e+00 1.01e+00 1.791706084e+01 2.035090988e+02 3.8e-05 10.87 18 8.2e-02 2.1e-01 4.7e+00 1.02e+00 1.974552681e+01 2.036481965e+02 3.8e-05 10.96 19 6.8e-02 1.8e-01 3.9e+00 1.01e+00 5.098868597e+01 2.030408389e+02 3.2e-05 11.03 20 2.0e-02 1.0e-01 1.2e+00 1.01e+00 1.311391815e+02 1.772958279e+02 9.6e-06 11.08 21 6.2e-03 1.8e-01 3.7e-01 1.02e+00 1.567389704e+02 1.709888073e+02 3.0e-06 11.54 22 5.8e-03 1.7e-01 3.5e-01 9.83e-01 1.572781933e+02 1.705714447e+02 2.8e-06 11.85 23 4.3e-03 1.3e-01 2.6e-01 9.58e-01 1.597735114e+02 1.696670358e+02 2.1e-06 12.50 24 2.0e-03 7.8e-02 1.2e-01 9.73e-01 1.636473068e+02 1.683047568e+02 9.8e-07 13.32 25 1.2e-03 6.0e-02 7.4e-02 1.00e+00 1.650413634e+02 1.678696595e+02 6.0e-07 14.31 26 4.9e-04 8.1e-02 3.0e-02 1.01e+00 1.662737445e+02 1.674315932e+02 2.5e-07 15.06 27 2.2e-04 8.3e-02 1.4e-02 1.01e+00 1.667346220e+02 1.672491277e+02 1.1e-07 15.50 28 2.0e-04 7.6e-02 1.2e-02 1.01e+00 1.667749288e+02 1.672380181e+02 1.0e-07 15.56 29 1.8e-04 6.9e-02 1.1e-02 1.01e+00 1.668078172e+02 1.672244418e+02 9.0e-08 16.65 30 1.6e-04 6.3e-02 9.9e-03 1.01e+00 1.668374820e+02 1.672123263e+02 8.1e-08 17.57 31 1.4e-04 5.7e-02 8.9e-03 1.01e+00 1.668639855e+02 1.672012443e+02 7.3e-08 17.80 32 1.3e-04 5.2e-02 8.0e-03 1.01e+00 1.668877440e+02 1.671911920e+02 6.5e-08 17.83 33 1.2e-04 4.8e-02 7.2e-03 1.01e+00 1.669090380e+02 1.671820704e+02 5.9e-08 17.85 34 1.0e-04 4.4e-02 6.5e-03 1.01e+00 1.669281298e+02 1.671738001e+02 5.3e-08 17.90 35 9.3e-05 4.0e-02 5.8e-03 1.01e+00 1.669452503e+02 1.671663050e+02 4.8e-08 19.23 36 8.4e-05 3.7e-02 5.2e-03 1.01e+00 1.669606066e+02 1.671595158e+02 4.3e-08 20.02 37 7.6e-05 3.4e-02 4.7e-03 1.01e+00 1.669743832e+02 1.671533685e+02 3.9e-08 22.14 38 6.8e-05 3.1e-02 4.3e-03 1.01e+00 1.669867448e+02 1.671478045e+02 3.5e-08 23.93 39 6.1e-05 2.9e-02 3.8e-03 1.00e+00 1.669978386e+02 1.671427703e+02 3.1e-08 24.55 40 5.5e-05 2.7e-02 3.4e-03 1.00e+00 1.670077961e+02 1.671382167e+02 2.8e-08 26.48 41 5.0e-05 2.5e-02 3.1e-03 1.00e+00 1.670167351e+02 1.671340989e+02 2.5e-08 27.98 42 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.670247608e+02 1.671303762e+02 2.3e-08 29.90 43 4.0e-05 2.2e-02 2.5e-03 1.00e+00 1.670319673e+02 1.671270115e+02 2.1e-08 31.17 44 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.670384392e+02 1.671239711e+02 1.8e-08 33.19 45 3.3e-05 1.9e-02 2.0e-03 1.00e+00 1.670442519e+02 1.671212243e+02 1.7e-08 33.67 46 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.670494732e+02 1.671187432e+02 1.5e-08 35.61 47 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.670541637e+02 1.671165026e+02 1.3e-08 36.98 48 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.670583779e+02 1.671144795e+02 1.2e-08 38.86 49 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.670621644e+02 1.671126532e+02 1.1e-08 40.60 50 1.9e-05 1.5e-02 1.2e-03 1.00e+00 1.670655670e+02 1.671110047e+02 9.8e-09 42.19 51 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.670686249e+02 1.671095171e+02 8.9e-09 43.39 52 1.6e-05 1.3e-02 9.7e-04 1.00e+00 1.670713732e+02 1.671081748e+02 8.0e-09 44.86 53 1.4e-05 1.3e-02 8.8e-04 1.00e+00 1.670738435e+02 1.671069639e+02 7.2e-09 45.01 54 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.670760640e+02 1.671058715e+02 6.5e-09 45.05 55 1.1e-05 1.2e-02 7.1e-04 1.00e+00 1.670780603e+02 1.671048863e+02 5.8e-09 45.09 56 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.670798550e+02 1.671039979e+02 5.2e-09 46.21 57 9.2e-06 1.1e-02 5.7e-04 1.00e+00 1.670814687e+02 1.671031968e+02 4.7e-09 47.23 58 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.670829197e+02 1.671024747e+02 4.2e-09 47.29 59 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.670842245e+02 1.671018237e+02 3.8e-09 47.35 60 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.670853979e+02 1.671012370e+02 3.4e-09 47.37 61 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.670864532e+02 1.671007083e+02 3.1e-09 48.97 62 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.670874024e+02 1.671002318e+02 2.8e-09 49.50 63 2.1e-06 3.8e-03 1.3e-04 1.00e+00 1.670926608e+02 1.670975624e+02 1.1e-09 49.61 64 8.3e-07 1.5e-03 5.2e-05 1.00e+00 1.670945998e+02 1.670965764e+02 4.3e-10 50.98 65 7.5e-07 1.4e-03 4.7e-05 1.00e+00 1.670947344e+02 1.670965133e+02 3.9e-10 51.76 66 4.5e-07 8.2e-04 2.8e-05 1.00e+00 1.670952003e+02 1.670962712e+02 2.3e-10 51.79 67 4.1e-07 7.4e-04 2.6e-05 1.00e+00 1.670952719e+02 1.670962357e+02 2.1e-10 51.84 68 3.7e-07 6.6e-04 2.3e-05 1.00e+00 1.670953354e+02 1.670962028e+02 1.9e-10 53.61 69 3.3e-07 6.0e-04 2.1e-05 1.00e+00 1.670953926e+02 1.670961732e+02 1.7e-10 53.99 70 3.0e-07 5.4e-04 1.9e-05 1.00e+00 1.670954440e+02 1.670961466e+02 1.5e-10 54.08 71 2.7e-07 4.8e-04 1.7e-05 1.00e+00 1.670954902e+02 1.670961225e+02 1.4e-10 54.14 72 2.4e-07 4.4e-04 1.5e-05 9.99e-01 1.670955318e+02 1.670961009e+02 1.2e-10 55.67 73 2.2e-07 3.9e-04 1.4e-05 9.99e-01 1.670955692e+02 1.670960814e+02 1.1e-10 56.30 74 1.9e-07 3.5e-04 1.2e-05 9.96e-01 1.670956028e+02 1.670960640e+02 1.0e-10 56.33 75 1.7e-07 3.2e-04 1.1e-05 9.99e-01 1.670956331e+02 1.670960482e+02 9.0e-11 56.38 76 1.6e-07 2.9e-04 9.9e-06 1.00e+00 1.670956604e+02 1.670960339e+02 8.1e-11 57.97 77 1.4e-07 2.6e-04 8.9e-06 9.97e-01 1.670956849e+02 1.670960211e+02 7.3e-11 58.50 78 1.3e-07 2.3e-04 8.0e-06 1.00e+00 1.670957071e+02 1.670960095e+02 6.6e-11 58.55 79 1.1e-07 2.1e-04 7.2e-06 1.00e+00 1.670957270e+02 1.670959991e+02 5.9e-11 58.60 80 1.0e-07 1.9e-04 6.5e-06 1.00e+00 1.670957449e+02 1.670959897e+02 5.3e-11 58.66 81 9.3e-08 1.7e-04 5.8e-06 1.00e+00 1.670957610e+02 1.670959813e+02 4.8e-11 59.72 82 8.4e-08 1.5e-04 5.3e-06 9.98e-01 1.670957755e+02 1.670959737e+02 4.3e-11 60.80 83 7.5e-08 1.4e-04 4.7e-06 1.02e+00 1.670957894e+02 1.670959664e+02 3.9e-11 60.85 84 6.8e-08 1.2e-04 4.3e-06 1.01e+00 1.670958012e+02 1.670959602e+02 3.5e-11 60.92 85 6.1e-08 1.1e-04 3.8e-06 9.90e-01 1.670958116e+02 1.670959548e+02 3.2e-11 62.29 86 5.5e-08 1.0e-04 3.4e-06 9.89e-01 1.670958210e+02 1.670959499e+02 2.8e-11 64.04 87 4.9e-08 9.0e-05 3.1e-06 9.86e-01 1.670958294e+02 1.670959456e+02 2.6e-11 65.19 88 4.4e-08 8.1e-05 2.8e-06 9.93e-01 1.670958371e+02 1.670959416e+02 2.3e-11 65.44 89 4.0e-08 7.3e-05 2.5e-06 1.03e+00 1.670958448e+02 1.670959375e+02 2.1e-11 66.49 90 3.6e-08 6.5e-05 2.3e-06 9.90e-01 1.670958509e+02 1.670959343e+02 1.9e-11 68.38 91 3.2e-08 5.9e-05 2.0e-06 1.02e+00 1.670958568e+02 1.670959312e+02 1.7e-11 69.48 92 2.9e-08 5.3e-05 1.8e-06 9.96e-01 1.670958617e+02 1.670959286e+02 1.5e-11 70.13 93 2.6e-08 4.8e-05 1.6e-06 1.00e+00 1.670958661e+02 1.670959263e+02 1.4e-11 70.51 94 2.4e-08 4.3e-05 1.5e-06 1.01e+00 1.670958701e+02 1.670959242e+02 1.3e-11 71.28 95 2.1e-08 3.9e-05 1.3e-06 9.82e-01 1.670958737e+02 1.670959224e+02 1.1e-11 72.15 96 1.9e-08 3.5e-05 1.2e-06 9.65e-01 1.670958769e+02 1.670959208e+02 1.0e-11 72.20 97 1.7e-08 3.1e-05 1.1e-06 1.11e+00 1.670958811e+02 1.670959183e+02 9.7e-12 74.05 98 1.6e-08 2.8e-05 9.7e-07 1.01e+00 1.670958837e+02 1.670959170e+02 8.7e-12 75.81 Interior-point optimizer terminated. Time: 75.81. Optimizer terminated. Time: 75.82 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6709588371e+02 Viol. con: 2e-07 var: 0e+00 Dual. obj: 1.6709591700e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 75.8 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.282340837e+05 2.000000000e+00 1.0e+00 0.05 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260941565e+05 3.573266804e+00 4.8e-01 2.34 2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.200565676e+05 1.003090850e+01 1.9e-01 4.24 3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.153564033e+05 6.135566300e+01 1.3e-01 5.92 4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.127106648e+05 2.301022166e+03 1.3e-01 6.28 5 7.4e+01 9.5e+01 4.1e+03 -7.54e-01 -7.385923177e+04 1.001974663e+04 3.3e-02 8.42 6 3.6e+01 4.7e+01 2.0e+03 -1.86e-01 -4.686869429e+04 1.035872209e+04 1.6e-02 10.50 7 2.2e+01 2.8e+01 1.2e+03 2.80e-01 -3.229429002e+04 7.125793212e+03 9.7e-03 12.25 8 1.3e+01 1.7e+01 7.4e+02 5.41e-01 -2.102020635e+04 4.794219194e+03 5.9e-03 13.19 9 5.2e+00 6.7e+00 2.9e+02 7.27e-01 -8.482356562e+03 2.381468538e+03 2.3e-03 14.73 10 2.4e+00 3.0e+00 1.3e+02 9.16e-01 -3.662355713e+03 1.406281988e+03 1.1e-03 16.49 11 1.7e+00 2.2e+00 9.5e+01 9.76e-01 -2.587827880e+03 1.057499255e+03 7.6e-04 18.30 12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.195679515e+03 6.123671139e+02 3.7e-04 19.79 13 7.6e-01 1.1e+00 4.2e+01 9.50e-01 -1.098084994e+03 5.684107942e+02 3.4e-04 21.41 14 6.1e-01 8.7e-01 3.4e+01 9.86e-01 -8.367313450e+02 5.040851337e+02 2.7e-04 22.16 15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.535781853e+02 2.533282299e+02 8.4e-05 22.22 16 1.0e-01 1.8e-01 5.9e+00 1.01e+00 -2.006083931e+01 2.117117729e+02 4.8e-05 22.28 17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.844836107e+01 2.119465412e+02 4.8e-05 22.50 18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.413389386e+01 2.123038590e+02 4.1e-05 23.38 19 3.5e-02 9.7e-02 2.0e+00 1.01e+00 1.053784870e+02 1.837340706e+02 1.6e-05 24.42 20 1.0e-02 1.7e-01 6.0e-01 1.01e+00 1.496759985e+02 1.726889674e+02 4.8e-06 24.44 21 3.1e-03 1.8e-01 1.9e-01 1.01e+00 1.612162671e+02 1.684506715e+02 1.5e-06 24.51 22 1.2e-03 1.2e-01 7.5e-02 1.01e+00 1.645522862e+02 1.674150493e+02 6.2e-07 26.00 23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.656029486e+02 1.670405603e+02 3.1e-07 26.64 24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662299182e+02 1.668057350e+02 1.3e-07 26.69 25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662753227e+02 1.667934015e+02 1.1e-07 28.15 26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663120734e+02 1.667782105e+02 1.0e-07 28.75 27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663452983e+02 1.667647113e+02 9.2e-08 29.02 28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663750770e+02 1.667524593e+02 8.3e-08 30.67 29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664018173e+02 1.667413885e+02 7.4e-08 33.24 30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664258232e+02 1.667313783e+02 6.7e-08 33.43 31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664473771e+02 1.667223291e+02 6.0e-08 33.48 32 1.0e-04 4.2e-02 6.5e-03 1.00e+00 1.664667304e+02 1.667141489e+02 5.4e-08 33.54 33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664841088e+02 1.667067547e+02 4.9e-08 35.41 34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664997145e+02 1.667000714e+02 4.4e-08 35.71 35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665137291e+02 1.666940307e+02 4.0e-08 35.75 36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665263154e+02 1.666885712e+02 3.6e-08 37.37 37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665376193e+02 1.666836372e+02 3.2e-08 38.81 38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665477720e+02 1.666791783e+02 2.9e-08 40.21 39 5.0e-05 2.4e-02 3.1e-03 1.00e+00 1.665568911e+02 1.666751492e+02 2.6e-08 40.24 40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665650823e+02 1.666715086e+02 2.3e-08 40.30 41 4.0e-05 2.1e-02 2.5e-03 1.00e+00 1.665724404e+02 1.666682193e+02 2.1e-08 42.24 42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665790504e+02 1.666652478e+02 1.9e-08 42.47 43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665849888e+02 1.666625636e+02 1.7e-08 42.51 44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665903241e+02 1.666601393e+02 1.5e-08 42.54 45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665951177e+02 1.666579498e+02 1.4e-08 43.32 46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665994251e+02 1.666559727e+02 1.2e-08 44.81 47 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.666032956e+02 1.666541875e+02 1.1e-08 45.95 48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666067739e+02 1.666525760e+02 1.0e-08 47.07 49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666098998e+02 1.666511212e+02 9.1e-09 48.58 50 1.6e-05 1.3e-02 9.8e-04 1.00e+00 1.666127094e+02 1.666498083e+02 8.2e-09 49.98 51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666152346e+02 1.666486234e+02 7.4e-09 51.57 52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666175045e+02 1.666475543e+02 6.6e-09 53.52 53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666195450e+02 1.666465898e+02 6.0e-09 55.17 54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666213794e+02 1.666457196e+02 5.4e-09 56.09 55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666230285e+02 1.666449347e+02 4.8e-09 56.99 56 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.666245112e+02 1.666442268e+02 4.3e-09 58.39 57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666258442e+02 1.666435884e+02 3.9e-09 59.44 58 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.666270429e+02 1.666430127e+02 3.5e-09 60.60 59 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.666281207e+02 1.666424936e+02 3.2e-09 60.64 60 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.666290899e+02 1.666420256e+02 2.9e-09 60.64 61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299614e+02 1.666416036e+02 2.6e-09 61.55 62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666307450e+02 1.666412231e+02 2.3e-09 62.89 63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314497e+02 1.666408800e+02 2.1e-09 64.07 64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320834e+02 1.666405707e+02 1.9e-09 65.05 65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326532e+02 1.666402919e+02 1.7e-09 65.09 66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331656e+02 1.666400404e+02 1.5e-09 65.18 67 2.6e-06 9.0e-03 1.6e-04 1.00e+00 1.666336263e+02 1.666398137e+02 1.4e-09 66.61 68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340407e+02 1.666396094e+02 1.2e-09 67.32 69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666344134e+02 1.666394253e+02 1.1e-09 67.37 70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347486e+02 1.666392594e+02 1.0e-09 67.38 71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350501e+02 1.666391099e+02 9.0e-10 67.46 72 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.666353214e+02 1.666389751e+02 8.1e-10 68.78 73 1.4e-06 8.5e-03 8.7e-05 1.00e+00 1.666355653e+02 1.666388537e+02 7.3e-10 69.59 74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357847e+02 1.666387443e+02 6.5e-10 69.63 75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359821e+02 1.666386457e+02 5.9e-10 69.67 76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361596e+02 1.666385569e+02 5.3e-10 69.71 77 9.1e-07 8.3e-03 5.7e-05 1.00e+00 1.666363192e+02 1.666384768e+02 4.8e-10 70.80 78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364628e+02 1.666384046e+02 4.3e-10 71.76 79 7.3e-07 8.3e-03 4.6e-05 1.00e+00 1.666365919e+02 1.666383396e+02 3.9e-10 71.82 80 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.666367080e+02 1.666382809e+02 3.5e-10 71.88 81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368124e+02 1.666382281e+02 3.1e-10 71.95 82 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.666369063e+02 1.666381804e+02 2.8e-10 72.00 83 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.666369908e+02 1.666381374e+02 2.5e-10 73.16 84 4.3e-07 8.1e-03 2.7e-05 1.00e+00 1.666370667e+02 1.666380987e+02 2.3e-10 74.53 85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371350e+02 1.666380637e+02 2.0e-10 76.10 86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371964e+02 1.666380322e+02 1.8e-10 76.69 87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372516e+02 1.666380039e+02 1.7e-10 78.12 88 2.8e-07 8.0e-03 1.8e-05 1.00e+00 1.666373012e+02 1.666379783e+02 1.5e-10 78.65 89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373459e+02 1.666379553e+02 1.3e-10 78.72 90 2.3e-07 8.0e-03 1.5e-05 9.99e-01 1.666373861e+02 1.666379345e+02 1.2e-10 78.76 91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374222e+02 1.666379158e+02 1.1e-10 80.08 92 1.9e-07 7.9e-03 1.2e-05 9.99e-01 1.666374548e+02 1.666378990e+02 9.8e-11 80.77 93 1.7e-07 7.9e-03 1.1e-05 9.99e-01 1.666374840e+02 1.666378839e+02 8.8e-11 80.93 94 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.666375103e+02 1.666378702e+02 7.9e-11 80.99 95 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.666375340e+02 1.666378579e+02 7.1e-11 81.06 96 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.666375554e+02 1.666378468e+02 6.4e-11 82.37 97 1.1e-07 7.8e-03 7.0e-06 1.00e+00 1.666375745e+02 1.666378368e+02 5.8e-11 83.17 98 9.9e-08 7.8e-03 6.3e-06 1.00e+00 1.666375918e+02 1.666378278e+02 5.2e-11 83.23 99 8.9e-08 7.0e-03 5.6e-06 1.00e+00 1.666376075e+02 1.666378197e+02 4.7e-11 83.25 100 8.0e-08 6.3e-03 5.1e-06 9.98e-01 1.666376214e+02 1.666378124e+02 4.2e-11 83.28 101 7.2e-08 5.7e-03 4.6e-06 1.01e+00 1.666376343e+02 1.666378057e+02 3.8e-11 84.98 102 6.5e-08 5.1e-03 4.1e-06 9.97e-01 1.666376456e+02 1.666377999e+02 3.4e-11 85.45 103 5.9e-08 4.6e-03 3.7e-06 9.98e-01 1.666376557e+02 1.666377946e+02 3.1e-11 85.50 104 5.3e-08 4.2e-03 3.3e-06 1.00e+00 1.666376648e+02 1.666377899e+02 2.8e-11 85.53 105 4.7e-08 3.7e-03 3.0e-06 9.99e-01 1.666376731e+02 1.666377856e+02 2.5e-11 85.58 106 4.3e-08 3.4e-03 2.7e-06 1.01e+00 1.666376807e+02 1.666377816e+02 2.3e-11 86.61 107 3.8e-08 3.0e-03 2.4e-06 1.00e+00 1.666376874e+02 1.666377781e+02 2.0e-11 87.71 108 3.5e-08 2.7e-03 2.2e-06 1.00e+00 1.666376934e+02 1.666377750e+02 1.8e-11 87.77 109 3.1e-08 2.5e-03 2.0e-06 9.97e-01 1.666376987e+02 1.666377722e+02 1.6e-11 87.81 110 2.8e-08 2.2e-03 1.8e-06 1.01e+00 1.666377038e+02 1.666377696e+02 1.5e-11 87.85 111 2.5e-08 2.0e-03 1.6e-06 1.01e+00 1.666377083e+02 1.666377672e+02 1.3e-11 88.88 112 2.3e-08 1.8e-03 1.4e-06 9.86e-01 1.666377121e+02 1.666377652e+02 1.2e-11 90.02 113 2.0e-08 1.6e-03 1.3e-06 9.79e-01 1.666377156e+02 1.666377634e+02 1.1e-11 90.06 114 1.8e-08 1.4e-03 1.2e-06 9.84e-01 1.666377187e+02 1.666377618e+02 9.8e-12 90.90 115 1.7e-08 1.3e-03 1.0e-06 9.92e-01 1.666377216e+02 1.666377604e+02 8.8e-12 92.22 116 1.5e-08 1.2e-03 9.4e-07 1.01e+00 1.666377243e+02 1.666377589e+02 8.0e-12 92.28 117 1.3e-08 1.1e-03 8.5e-07 1.01e+00 1.666377266e+02 1.666377577e+02 7.2e-12 92.29 118 1.2e-08 9.5e-04 7.6e-07 1.00e+00 1.666377286e+02 1.666377567e+02 6.5e-12 92.38 119 1.1e-08 8.5e-04 6.9e-07 1.04e+00 1.666377308e+02 1.666377555e+02 6.0e-12 93.27 120 9.8e-09 7.7e-04 6.2e-07 1.02e+00 1.666377326e+02 1.666377545e+02 5.4e-12 93.84 121 8.8e-09 6.9e-04 5.6e-07 1.01e+00 1.666377341e+02 1.666377537e+02 4.9e-12 94.91 122 8.0e-09 6.2e-04 5.0e-07 1.02e+00 1.666377355e+02 1.666377530e+02 4.4e-12 96.10 123 7.2e-09 5.6e-04 4.5e-07 9.49e-01 1.666377367e+02 1.666377524e+02 4.0e-12 96.92 124 6.5e-09 5.0e-04 4.1e-07 1.02e+00 1.666377378e+02 1.666377519e+02 3.6e-12 98.18 125 5.8e-09 4.5e-04 3.6e-07 9.30e-01 1.666377387e+02 1.666377514e+02 3.3e-12 99.21 126 4.9e-09 2.7e-05 2.2e-08 8.89e-01 1.666377468e+02 1.666377476e+02 3.5e-13 100.38 Interior-point optimizer terminated. Time: 100.38. Optimizer terminated. Time: 100.39 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6663774683e+02 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6663774762e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 100 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281947631e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260529464e+05 3.567039063e+00 4.8e-01 1.29 2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.199178232e+05 1.011823039e+01 1.9e-01 2.60 3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.152760528e+05 6.284863281e+01 1.3e-01 3.70 4 2.9e+02 3.7e+02 1.6e+04 -7.60e-01 -1.125798310e+05 2.338618834e+03 1.3e-01 5.00 5 7.3e+01 9.3e+01 4.0e+03 -7.53e-01 -7.321569299e+04 1.002872937e+04 3.2e-02 6.07 6 3.6e+01 4.5e+01 2.0e+03 -1.76e-01 -4.601686206e+04 1.018884340e+04 1.6e-02 7.29 7 2.1e+01 2.6e+01 1.1e+03 2.94e-01 -3.047980978e+04 6.899556375e+03 9.1e-03 8.48 8 1.2e+01 1.5e+01 6.7e+02 5.72e-01 -1.903302542e+04 4.475401242e+03 5.3e-03 8.98 9 4.6e+00 5.9e+00 2.6e+02 7.59e-01 -7.495632057e+03 2.146503835e+03 2.0e-03 9.12 10 2.2e+00 2.8e+00 1.2e+02 9.29e-01 -3.353641889e+03 1.377850449e+03 9.8e-04 10.29 11 1.5e+00 1.9e+00 8.2e+01 9.79e-01 -2.210977235e+03 9.609866408e+02 6.6e-04 11.22 12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.225035149e+03 6.312885994e+02 3.8e-04 11.26 13 7.4e-01 9.9e-01 4.1e+01 9.55e-01 -1.062786079e+03 5.628133005e+02 3.3e-04 12.45 14 5.5e-01 7.4e-01 3.1e+01 9.88e-01 -7.429111201e+02 4.752644973e+02 2.5e-04 13.33 15 1.7e-01 2.5e-01 9.5e+00 9.91e-01 -1.280756389e+02 2.450100488e+02 7.7e-05 13.52 16 9.6e-02 1.6e-01 5.5e+00 1.01e+00 -7.995898304e+00 2.069290396e+02 4.5e-05 15.22 17 9.5e-02 1.5e-01 5.5e+00 1.02e+00 -6.436340498e+00 2.070556615e+02 4.4e-05 15.77 18 8.6e-02 1.4e-01 4.9e+00 1.02e+00 1.598104179e+01 2.078544404e+02 4.0e-05 15.81 19 4.9e-02 8.5e-02 2.8e+00 1.02e+00 8.164108908e+01 1.897431538e+02 2.3e-05 17.20 20 1.7e-02 8.6e-02 9.9e-01 1.02e+00 1.374439099e+02 1.752958742e+02 8.0e-06 17.99 21 4.6e-03 2.2e-01 2.7e-01 1.01e+00 1.589784449e+02 1.693718247e+02 2.2e-06 18.03 22 3.2e-03 2.5e-01 1.9e-01 1.00e+00 1.612451703e+02 1.684218710e+02 1.5e-06 18.57 23 1.2e-03 1.4e-01 7.1e-02 1.00e+00 1.645949488e+02 1.672907110e+02 5.7e-07 19.77 24 9.0e-04 1.1e-01 5.4e-02 9.93e-01 1.650503720e+02 1.671104647e+02 4.4e-07 20.30 25 3.7e-04 8.4e-02 2.3e-02 9.83e-01 1.659093345e+02 1.667859858e+02 1.9e-07 20.33 26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661934553e+02 1.666724322e+02 1.0e-07 20.36 27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662782831e+02 1.666425429e+02 7.9e-08 21.26 28 1.4e-04 5.9e-02 8.6e-03 1.01e+00 1.663052054e+02 1.666328574e+02 7.1e-08 22.53 29 1.3e-04 5.3e-02 7.8e-03 1.01e+00 1.663279865e+02 1.666228056e+02 6.4e-08 22.56 30 1.1e-04 4.9e-02 7.0e-03 1.01e+00 1.663486765e+02 1.666139640e+02 5.8e-08 22.60 31 1.0e-04 4.5e-02 6.3e-03 1.01e+00 1.663672041e+02 1.666059224e+02 5.2e-08 22.66 32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663838370e+02 1.665986507e+02 4.7e-08 22.68 33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663987623e+02 1.665920683e+02 4.2e-08 24.20 34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664121582e+02 1.665861126e+02 3.8e-08 24.81 35 6.7e-05 3.2e-02 4.1e-03 1.00e+00 1.664241825e+02 1.665807247e+02 3.4e-08 24.84 36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349768e+02 1.665758516e+02 3.1e-08 24.88 37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446682e+02 1.665714451e+02 2.8e-08 24.92 38 4.9e-05 2.5e-02 3.0e-03 1.00e+00 1.664533701e+02 1.665674612e+02 2.5e-08 25.83 39 4.4e-05 2.3e-02 2.7e-03 1.00e+00 1.664611846e+02 1.665638603e+02 2.2e-08 26.72 40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664682027e+02 1.665606060e+02 2.0e-08 27.05 41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664745063e+02 1.665576656e+02 1.8e-08 27.10 42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801686e+02 1.665550092e+02 1.6e-08 27.13 43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852555e+02 1.665526098e+02 1.5e-08 27.15 44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664898257e+02 1.665504431e+02 1.3e-08 28.01 45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939322e+02 1.665484867e+02 1.2e-08 28.99 46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664976223e+02 1.665467206e+02 1.1e-08 29.32 47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009387e+02 1.665451266e+02 9.6e-09 29.35 48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039194e+02 1.665436883e+02 8.7e-09 29.36 49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065988e+02 1.665423906e+02 7.8e-09 29.40 50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665090076e+02 1.665412201e+02 7.0e-09 30.29 51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111733e+02 1.665401646e+02 6.3e-09 31.56 52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131206e+02 1.665392128e+02 5.7e-09 31.61 53 1.0e-05 1.1e-02 6.2e-04 1.00e+00 1.665148718e+02 1.665383549e+02 5.1e-09 31.65 54 9.0e-06 1.1e-02 5.6e-04 1.00e+00 1.665164467e+02 1.665375816e+02 4.6e-09 31.69 55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178631e+02 1.665368847e+02 4.1e-09 32.77 56 7.3e-06 1.0e-02 4.5e-04 1.00e+00 1.665191371e+02 1.665362567e+02 3.7e-09 33.99 57 6.6e-06 1.0e-02 4.1e-04 1.00e+00 1.665202831e+02 1.665356909e+02 3.4e-09 34.60 58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213140e+02 1.665351811e+02 3.0e-09 35.11 59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222413e+02 1.665347218e+02 2.7e-09 35.24 60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230754e+02 1.665343080e+02 2.5e-09 35.98 61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238258e+02 1.665339352e+02 2.2e-09 37.22 62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665245007e+02 1.665335993e+02 2.0e-09 38.42 63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251077e+02 1.665332966e+02 1.8e-09 38.74 64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256538e+02 1.665330238e+02 1.6e-09 39.42 65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261449e+02 1.665327780e+02 1.4e-09 40.86 66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265866e+02 1.665325565e+02 1.3e-09 41.88 67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269840e+02 1.665323570e+02 1.2e-09 42.99 68 2.1e-06 8.7e-03 1.3e-04 1.00e+00 1.665273415e+02 1.665321772e+02 1.1e-09 43.91 69 1.9e-06 8.6e-03 1.2e-04 1.00e+00 1.665276631e+02 1.665320153e+02 9.5e-10 45.25 70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279524e+02 1.665318694e+02 8.6e-10 46.80 71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282127e+02 1.665317381e+02 7.7e-10 47.54 72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284469e+02 1.665316197e+02 6.9e-10 48.62 73 1.2e-06 8.4e-03 7.6e-05 1.00e+00 1.665286575e+02 1.665315131e+02 6.2e-10 49.81 74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288470e+02 1.665314171e+02 5.6e-10 50.46 75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290174e+02 1.665313306e+02 5.1e-10 51.04 76 8.9e-07 8.3e-03 5.5e-05 1.00e+00 1.665291708e+02 1.665312526e+02 4.5e-10 52.10 77 8.0e-07 8.3e-03 5.0e-05 1.00e+00 1.665293087e+02 1.665311824e+02 4.1e-10 53.29 78 7.2e-07 8.2e-03 4.5e-05 1.00e+00 1.665294327e+02 1.665311190e+02 3.7e-10 54.84 79 6.5e-07 8.2e-03 4.0e-05 1.00e+00 1.665295443e+02 1.665310620e+02 3.3e-10 56.66 80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296446e+02 1.665310106e+02 3.0e-10 58.02 81 5.2e-07 8.1e-03 3.3e-05 1.00e+00 1.665297348e+02 1.665309642e+02 2.7e-10 58.71 82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298159e+02 1.665309225e+02 2.4e-10 58.75 83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298889e+02 1.665308848e+02 2.2e-10 58.80 84 3.8e-07 8.1e-03 2.4e-05 1.00e+00 1.665299545e+02 1.665308508e+02 2.0e-10 58.85 85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300135e+02 1.665308202e+02 1.8e-10 59.81 86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300666e+02 1.665307926e+02 1.6e-10 60.99 87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301143e+02 1.665307677e+02 1.4e-10 61.04 88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301573e+02 1.665307453e+02 1.3e-10 61.08 89 2.3e-07 7.9e-03 1.4e-05 1.00e+00 1.665301959e+02 1.665307251e+02 1.2e-10 61.12 90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302306e+02 1.665307069e+02 1.0e-10 62.43 91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302619e+02 1.665306906e+02 9.4e-11 63.37 92 1.6e-07 7.9e-03 1.0e-05 9.99e-01 1.665302900e+02 1.665306758e+02 8.4e-11 63.40 93 1.5e-07 7.9e-03 9.2e-06 1.00e+00 1.665303153e+02 1.665306626e+02 7.6e-11 63.43 94 1.3e-07 7.9e-03 8.3e-06 1.00e+00 1.665303381e+02 1.665306506e+02 6.8e-11 63.63 95 1.2e-07 7.8e-03 7.4e-06 1.00e+00 1.665303585e+02 1.665306398e+02 6.1e-11 65.28 96 1.1e-07 7.8e-03 6.7e-06 1.00e+00 1.665303770e+02 1.665306301e+02 5.5e-11 65.50 97 9.7e-08 7.8e-03 6.0e-06 1.00e+00 1.665303936e+02 1.665306214e+02 5.0e-11 65.53 98 8.7e-08 7.8e-03 5.4e-06 9.93e-01 1.665304085e+02 1.665306136e+02 4.5e-11 65.57 99 7.8e-08 7.8e-03 4.9e-06 9.97e-01 1.665304219e+02 1.665306065e+02 4.0e-11 65.59 100 7.1e-08 7.7e-03 4.4e-06 1.00e+00 1.665304340e+02 1.665306001e+02 3.6e-11 66.52 101 6.4e-08 7.7e-03 4.0e-06 9.91e-01 1.665304448e+02 1.665305945e+02 3.3e-11 67.75 102 5.7e-08 7.7e-03 3.6e-06 9.95e-01 1.665304546e+02 1.665305893e+02 2.9e-11 67.83 103 5.1e-08 7.7e-03 3.2e-06 9.96e-01 1.665304634e+02 1.665305847e+02 2.6e-11 67.90 104 4.6e-08 7.6e-03 2.9e-06 9.93e-01 1.665304714e+02 1.665305805e+02 2.4e-11 69.53 105 4.2e-08 7.6e-03 2.6e-06 9.90e-01 1.665304785e+02 1.665305768e+02 2.1e-11 70.99 106 3.8e-08 7.6e-03 2.3e-06 9.97e-01 1.665304849e+02 1.665305734e+02 1.9e-11 72.31 107 3.4e-08 6.8e-03 2.1e-06 1.01e+00 1.665304909e+02 1.665305702e+02 1.7e-11 73.20 108 3.0e-08 6.2e-03 1.9e-06 9.98e-01 1.665304961e+02 1.665305674e+02 1.6e-11 74.34 109 2.7e-08 5.5e-03 1.7e-06 1.01e+00 1.665305010e+02 1.665305648e+02 1.4e-11 74.54 110 2.5e-08 5.0e-03 1.5e-06 1.01e+00 1.665305053e+02 1.665305625e+02 1.3e-11 75.79 111 2.2e-08 4.5e-03 1.4e-06 1.03e+00 1.665305095e+02 1.665305602e+02 1.2e-11 76.33 112 2.0e-08 4.0e-03 1.2e-06 9.97e-01 1.665305129e+02 1.665305585e+02 1.1e-11 76.82 113 1.8e-08 3.6e-03 1.1e-06 9.75e-01 1.665305158e+02 1.665305569e+02 9.5e-12 76.90 114 1.6e-08 3.3e-03 1.0e-06 1.01e+00 1.665305187e+02 1.665305554e+02 8.6e-12 76.93 115 1.5e-08 2.9e-03 9.0e-07 1.02e+00 1.665305212e+02 1.665305540e+02 7.8e-12 76.98 116 1.3e-08 2.7e-03 8.1e-07 1.00e+00 1.665305234e+02 1.665305529e+02 7.0e-12 77.83 117 1.2e-08 2.4e-03 7.3e-07 1.02e+00 1.665305255e+02 1.665305518e+02 6.4e-12 78.58 118 1.1e-08 2.1e-03 6.6e-07 9.55e-01 1.665305272e+02 1.665305509e+02 5.7e-12 79.08 119 9.6e-09 1.9e-03 5.9e-07 1.00e+00 1.665305288e+02 1.665305501e+02 5.2e-12 79.11 120 8.6e-09 1.7e-03 5.3e-07 1.01e+00 1.665305302e+02 1.665305493e+02 4.7e-12 79.14 121 7.7e-09 1.6e-03 4.8e-07 1.02e+00 1.665305316e+02 1.665305486e+02 4.2e-12 79.19 122 7.1e-09 1.4e-03 4.3e-07 1.11e+00 1.665305332e+02 1.665305477e+02 4.0e-12 79.22 123 6.5e-09 1.3e-03 3.9e-07 1.01e+00 1.665305342e+02 1.665305471e+02 3.6e-12 80.01 124 5.8e-09 1.1e-03 3.5e-07 1.03e+00 1.665305352e+02 1.665305466e+02 3.3e-12 80.62 125 5.3e-09 1.0e-03 3.2e-07 1.07e+00 1.665305362e+02 1.665305461e+02 3.1e-12 81.37 126 4.9e-09 9.2e-04 2.8e-07 1.08e+00 1.665305371e+02 1.665305456e+02 2.9e-12 81.40 127 4.4e-09 8.3e-04 2.6e-07 1.03e+00 1.665305377e+02 1.665305453e+02 2.6e-12 81.44 128 4.0e-09 7.5e-04 2.3e-07 1.04e+00 1.665305383e+02 1.665305449e+02 2.4e-12 81.49 129 2.7e-09 4.3e-05 1.3e-08 9.09e-01 1.665305426e+02 1.665305430e+02 2.4e-13 83.17 Interior-point optimizer terminated. Time: 83.17. Optimizer terminated. Time: 83.18 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6653054257e+02 Viol. con: 6e-08 var: 0e+00 Dual. obj: 1.6653054297e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 83.2 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.02 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3452 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281910003e+05 2.000000000e+00 1.0e+00 0.05 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260388207e+05 3.562416744e+00 4.8e-01 1.68 2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.198568659e+05 1.018649603e+01 1.9e-01 1.77 3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.151988232e+05 6.373051548e+01 1.2e-01 2.96 4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125292468e+05 2.317564420e+03 1.2e-01 3.88 5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.413285006e+04 9.821151292e+03 3.3e-02 3.98 6 3.3e+01 4.2e+01 1.8e+03 -1.90e-01 -4.310923234e+04 1.040983297e+04 1.4e-02 4.74 7 1.9e+01 2.4e+01 1.1e+03 3.45e-01 -2.829944994e+04 6.951568858e+03 8.4e-03 5.78 8 1.1e+01 1.4e+01 6.2e+02 6.09e-01 -1.786042837e+04 4.385659038e+03 5.0e-03 6.15 9 4.5e+00 5.7e+00 2.5e+02 7.77e-01 -7.289190927e+03 2.109109164e+03 2.0e-03 6.19 10 2.1e+00 2.6e+00 1.1e+02 9.30e-01 -3.104833204e+03 1.310263892e+03 9.1e-04 6.23 11 1.3e+00 1.6e+00 7.1e+01 9.82e-01 -1.894496843e+03 8.669869452e+02 5.7e-04 6.63 12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.138775061e+03 6.058231076e+02 3.6e-04 8.36 13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.086027157e+02 4.782449510e+02 2.6e-04 8.44 14 4.0e-01 5.3e-01 2.2e+01 9.98e-01 -4.785742528e+02 3.978179161e+02 1.8e-04 8.48 15 1.7e-01 2.4e-01 9.9e+00 9.93e-01 -1.310520714e+02 2.549834612e+02 7.9e-05 8.52 16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.035900078e+01 2.048605046e+02 4.0e-05 10.01 17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.259419257e+01 2.038111053e+02 3.6e-05 11.22 18 3.1e-02 7.3e-02 1.8e+00 1.02e+00 1.135900362e+02 1.813710206e+02 1.4e-05 12.04 19 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.524145717e+02 1.713318605e+02 4.0e-06 13.40 20 2.5e-03 1.5e-01 1.5e-01 1.00e+00 1.621495301e+02 1.679102310e+02 1.2e-06 14.63 21 1.5e-03 1.1e-01 9.0e-02 1.00e+00 1.639366422e+02 1.673929009e+02 7.3e-07 15.19 22 4.7e-04 1.1e-01 2.9e-02 1.01e+00 1.656859436e+02 1.667891441e+02 2.4e-07 16.25 23 1.5e-04 1.1e-01 9.6e-03 1.01e+00 1.662183100e+02 1.665842709e+02 8.1e-08 17.30 24 1.4e-04 1.0e-01 8.7e-03 1.01e+00 1.662462819e+02 1.665754942e+02 7.3e-08 17.45 25 6.3e-05 8.6e-02 4.0e-03 1.01e+00 1.663693215e+02 1.665220900e+02 3.4e-08 18.61 26 5.7e-05 7.8e-02 3.6e-03 1.01e+00 1.663810869e+02 1.665186083e+02 3.1e-08 19.88 27 5.1e-05 7.1e-02 3.3e-03 1.01e+00 1.663905878e+02 1.665143088e+02 2.8e-08 20.87 28 4.6e-05 6.4e-02 2.9e-03 1.01e+00 1.663992480e+02 1.665105667e+02 2.5e-08 22.60 29 4.1e-05 5.9e-02 2.7e-03 1.01e+00 1.664070010e+02 1.665071614e+02 2.2e-08 23.37 30 3.7e-05 5.4e-02 2.4e-03 1.01e+00 1.664139647e+02 1.665040876e+02 2.0e-08 24.29 31 3.3e-05 4.9e-02 2.1e-03 1.01e+00 1.664202165e+02 1.665013095e+02 1.8e-08 25.35 32 3.0e-05 4.5e-02 1.9e-03 1.01e+00 1.664258306e+02 1.664988000e+02 1.6e-08 26.61 33 2.7e-05 4.1e-02 1.7e-03 1.01e+00 1.664308726e+02 1.664965333e+02 1.5e-08 27.72 34 2.4e-05 3.8e-02 1.6e-03 1.00e+00 1.664354012e+02 1.664944864e+02 1.3e-08 28.72 35 2.2e-05 3.5e-02 1.4e-03 1.00e+00 1.664394693e+02 1.664926383e+02 1.2e-08 29.56 36 2.0e-05 3.2e-02 1.3e-03 1.00e+00 1.664431241e+02 1.664909699e+02 1.1e-08 29.76 37 1.8e-05 3.0e-02 1.1e-03 1.00e+00 1.664464080e+02 1.664894641e+02 9.6e-09 29.85 38 1.6e-05 2.8e-02 1.0e-03 1.00e+00 1.664493588e+02 1.664881053e+02 8.7e-09 30.28 39 1.4e-05 2.6e-02 9.2e-04 1.00e+00 1.664520107e+02 1.664868792e+02 7.8e-09 30.44 40 1.3e-05 2.4e-02 8.3e-04 1.00e+00 1.664543943e+02 1.664857733e+02 7.0e-09 30.58 41 1.2e-05 2.2e-02 7.5e-04 1.00e+00 1.664565368e+02 1.664847758e+02 6.3e-09 30.89 42 1.0e-05 2.1e-02 6.7e-04 1.00e+00 1.664584628e+02 1.664838763e+02 5.7e-09 31.00 43 9.4e-06 1.9e-02 6.1e-04 1.00e+00 1.664601945e+02 1.664830653e+02 5.1e-09 31.03 44 8.5e-06 1.8e-02 5.5e-04 1.00e+00 1.664617515e+02 1.664823342e+02 4.6e-09 31.06 45 7.7e-06 1.7e-02 4.9e-04 1.00e+00 1.664631516e+02 1.664816752e+02 4.1e-09 31.10 46 6.9e-06 1.6e-02 4.4e-04 1.00e+00 1.664644108e+02 1.664810813e+02 3.7e-09 31.13 47 6.2e-06 1.5e-02 4.0e-04 1.00e+00 1.664655432e+02 1.664805461e+02 3.4e-09 31.49 48 5.6e-06 1.5e-02 3.6e-04 1.00e+00 1.664665618e+02 1.664800640e+02 3.0e-09 31.85 49 5.0e-06 1.4e-02 3.2e-04 1.00e+00 1.664674779e+02 1.664796297e+02 2.7e-09 32.13 50 4.5e-06 1.3e-02 2.9e-04 1.00e+00 1.664683020e+02 1.664792384e+02 2.4e-09 32.63 51 4.1e-06 1.3e-02 2.6e-04 1.00e+00 1.664690434e+02 1.664788860e+02 2.2e-09 33.10 52 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.664697103e+02 1.664785685e+02 2.0e-09 33.28 53 3.3e-06 1.2e-02 2.1e-04 1.00e+00 1.664703102e+02 1.664782825e+02 1.8e-09 33.32 54 3.0e-06 1.1e-02 1.9e-04 1.00e+00 1.664708499e+02 1.664780248e+02 1.6e-09 33.37 55 2.7e-06 1.1e-02 1.7e-04 1.00e+00 1.664713354e+02 1.664777928e+02 1.4e-09 33.40 56 2.4e-06 1.1e-02 1.5e-04 1.00e+00 1.664717722e+02 1.664775839e+02 1.3e-09 33.42 57 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.664721653e+02 1.664773957e+02 1.2e-09 33.86 58 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664725190e+02 1.664772264e+02 1.1e-09 34.23 59 1.8e-06 9.9e-03 1.1e-04 1.00e+00 1.664728373e+02 1.664770740e+02 9.5e-10 34.38 60 1.6e-06 9.6e-03 1.0e-04 1.00e+00 1.664731237e+02 1.664769367e+02 8.5e-10 34.74 61 1.4e-06 9.4e-03 9.1e-05 1.00e+00 1.664733815e+02 1.664768132e+02 7.7e-10 35.17 62 1.3e-06 9.3e-03 8.2e-05 1.00e+00 1.664736135e+02 1.664767020e+02 6.9e-10 35.54 63 1.1e-06 9.1e-03 7.4e-05 1.00e+00 1.664738223e+02 1.664766019e+02 6.2e-10 35.60 64 1.0e-06 9.0e-03 6.6e-05 1.00e+00 1.664740102e+02 1.664765119e+02 5.6e-10 35.63 65 9.3e-07 8.8e-03 6.0e-05 1.00e+00 1.664741792e+02 1.664764308e+02 5.0e-10 35.66 66 8.4e-07 8.7e-03 5.4e-05 1.00e+00 1.664743313e+02 1.664763578e+02 4.5e-10 36.25 67 7.5e-07 8.6e-03 4.8e-05 1.00e+00 1.664744682e+02 1.664762920e+02 4.1e-10 36.67 68 6.8e-07 8.5e-03 4.4e-05 1.00e+00 1.664745914e+02 1.664762329e+02 3.7e-10 37.04 69 6.1e-07 8.4e-03 3.9e-05 1.00e+00 1.664747022e+02 1.664761795e+02 3.3e-10 37.41 70 5.5e-07 8.3e-03 3.5e-05 1.00e+00 1.664748019e+02 1.664761315e+02 3.0e-10 37.64 71 4.9e-07 8.3e-03 3.2e-05 1.00e+00 1.664748916e+02 1.664760882e+02 2.7e-10 37.69 72 4.4e-07 8.2e-03 2.9e-05 9.99e-01 1.664749723e+02 1.664760493e+02 2.4e-10 37.79 73 4.0e-07 8.1e-03 2.6e-05 1.00e+00 1.664750448e+02 1.664760142e+02 2.2e-10 37.81 74 3.6e-07 8.1e-03 2.3e-05 9.99e-01 1.664751101e+02 1.664759825e+02 2.0e-10 37.84 75 3.2e-07 8.0e-03 2.1e-05 1.00e+00 1.664751688e+02 1.664759540e+02 1.8e-10 37.86 76 2.9e-07 8.0e-03 1.9e-05 1.00e+00 1.664752217e+02 1.664759283e+02 1.6e-10 37.89 77 2.6e-07 7.9e-03 1.7e-05 9.99e-01 1.664752692e+02 1.664759052e+02 1.4e-10 37.91 78 2.4e-07 7.9e-03 1.5e-05 1.00e+00 1.664753120e+02 1.664758843e+02 1.3e-10 37.93 79 2.1e-07 7.9e-03 1.4e-05 1.00e+00 1.664753505e+02 1.664758656e+02 1.2e-10 37.95 80 1.9e-07 7.8e-03 1.2e-05 9.99e-01 1.664753851e+02 1.664758487e+02 1.0e-10 38.30 81 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664754162e+02 1.664758335e+02 9.4e-11 38.42 82 1.6e-07 7.8e-03 1.0e-05 1.00e+00 1.664754442e+02 1.664758198e+02 8.4e-11 38.57 83 1.4e-07 7.8e-03 9.0e-06 1.00e+00 1.664754695e+02 1.664758075e+02 7.6e-11 38.69 84 1.3e-07 7.7e-03 8.1e-06 1.00e+00 1.664754922e+02 1.664757964e+02 6.8e-11 38.91 85 1.1e-07 7.7e-03 7.3e-06 1.00e+00 1.664755127e+02 1.664757863e+02 6.1e-11 39.04 86 1.0e-07 7.7e-03 6.5e-06 1.00e+00 1.664755311e+02 1.664757773e+02 5.5e-11 39.17 87 9.2e-08 7.7e-03 5.9e-06 9.96e-01 1.664755476e+02 1.664757692e+02 5.0e-11 39.51 88 8.2e-08 7.6e-03 5.3e-06 9.96e-01 1.664755624e+02 1.664757620e+02 4.5e-11 40.10 89 7.4e-08 6.9e-03 4.8e-06 1.00e+00 1.664755759e+02 1.664757553e+02 4.0e-11 40.14 90 6.7e-08 6.2e-03 4.3e-06 9.92e-01 1.664755880e+02 1.664757495e+02 3.6e-11 41.04 91 6.0e-08 5.6e-03 3.9e-06 9.94e-01 1.664755988e+02 1.664757442e+02 3.3e-11 41.96 92 5.4e-08 5.0e-03 3.5e-06 9.96e-01 1.664756085e+02 1.664757394e+02 2.9e-11 42.51 93 4.9e-08 4.5e-03 3.1e-06 1.00e+00 1.664756173e+02 1.664757351e+02 2.6e-11 43.30 94 4.4e-08 4.1e-03 2.8e-06 9.98e-01 1.664756252e+02 1.664757312e+02 2.4e-11 44.14 95 3.9e-08 3.7e-03 2.5e-06 1.00e+00 1.664756324e+02 1.664757277e+02 2.1e-11 45.39 96 3.6e-08 3.3e-03 2.3e-06 1.01e+00 1.664756389e+02 1.664757245e+02 1.9e-11 46.49 97 3.2e-08 3.0e-03 2.1e-06 1.00e+00 1.664756447e+02 1.664757216e+02 1.7e-11 46.99 98 2.9e-08 2.7e-03 1.8e-06 9.85e-01 1.664756498e+02 1.664757192e+02 1.6e-11 48.06 99 2.6e-08 2.4e-03 1.7e-06 9.87e-01 1.664756545e+02 1.664757169e+02 1.4e-11 48.90 100 2.3e-08 2.2e-03 1.5e-06 9.96e-01 1.664756587e+02 1.664757149e+02 1.3e-11 49.13 101 2.1e-08 1.9e-03 1.3e-06 1.01e+00 1.664756625e+02 1.664757129e+02 1.1e-11 49.26 102 1.9e-08 1.7e-03 1.2e-06 1.01e+00 1.664756660e+02 1.664757112e+02 1.0e-11 50.70 103 1.7e-08 1.6e-03 1.1e-06 1.04e+00 1.664756695e+02 1.664757094e+02 9.5e-12 51.49 104 1.5e-08 1.4e-03 9.8e-07 9.95e-01 1.664756722e+02 1.664757081e+02 8.5e-12 51.87 105 1.4e-08 1.3e-03 8.8e-07 1.00e+00 1.664756746e+02 1.664757069e+02 7.7e-12 52.01 106 1.2e-08 1.1e-03 8.0e-07 9.86e-01 1.664756768e+02 1.664757059e+02 6.9e-12 52.13 107 1.1e-08 1.0e-03 7.2e-07 1.01e+00 1.664756788e+02 1.664757049e+02 6.2e-12 52.24 108 2.3e-09 1.1e-04 7.4e-08 9.45e-01 1.664756947e+02 1.664756975e+02 7.8e-13 52.46 Interior-point optimizer terminated. Time: 52.46. Optimizer terminated. Time: 52.48 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6647569471e+02 Viol. con: 5e-08 var: 0e+00 Dual. obj: 1.6647569747e+02 Viol. con: 0e+00 var: 7e-04 * End solution on dual form. * Transforming to primal solution. Solving took 52.5 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281197879e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259650279e+05 3.561095155e+00 4.8e-01 0.85 2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197555852e+05 1.021866976e+01 1.8e-01 1.86 3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150858117e+05 6.418725504e+01 1.2e-01 3.02 4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124325326e+05 2.305448618e+03 1.2e-01 3.11 5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.428037221e+04 9.756431913e+03 3.3e-02 4.23 6 3.0e+01 3.9e+01 1.7e+03 -1.93e-01 -4.041118686e+04 1.037586805e+04 1.3e-02 5.80 7 1.8e+01 2.3e+01 1.0e+03 3.93e-01 -2.698452399e+04 6.759341589e+03 8.0e-03 6.68 8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.558014475e+04 3.925146431e+03 4.3e-03 7.59 9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.376442971e+03 1.908097964e+03 1.7e-03 8.65 10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.267487941e+03 1.216179596e+03 9.3e-04 10.05 11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.522030320e+03 7.367043569e+02 4.7e-04 11.19 12 8.0e-01 1.0e+00 4.5e+01 9.79e-01 -1.157073031e+03 5.992724601e+02 3.6e-04 12.69 13 4.7e-01 6.2e-01 2.6e+01 9.74e-01 -6.218885608e+02 4.222759237e+02 2.1e-04 14.08 14 2.3e-01 9.4e-01 1.3e+01 1.00e+00 -2.250535827e+02 2.955406250e+02 1.1e-04 14.42 15 1.1e-01 4.3e-01 6.1e+00 1.00e+00 -2.237488103e+01 2.143295635e+02 4.9e-05 15.30 16 8.0e-02 3.2e-01 4.6e+00 1.01e+00 2.956408214e+01 2.065261961e+02 3.7e-05 16.69 17 4.4e-02 1.9e-01 2.5e+00 1.02e+00 8.945545607e+01 1.875912920e+02 2.1e-05 17.75 18 1.2e-02 1.6e-01 7.0e-01 1.02e+00 1.463874860e+02 1.733398104e+02 5.7e-06 18.56 19 3.5e-03 1.8e-01 2.1e-01 1.01e+00 1.605145298e+02 1.684779628e+02 1.7e-06 18.95 20 2.0e-03 1.1e-01 1.2e-01 1.01e+00 1.630965612e+02 1.676296115e+02 9.7e-07 19.22 21 6.2e-04 1.3e-01 3.8e-02 1.01e+00 1.654048948e+02 1.668595940e+02 3.1e-07 20.11 22 4.6e-04 1.1e-01 2.9e-02 9.96e-01 1.656724437e+02 1.667523978e+02 2.4e-07 21.06 23 2.4e-04 7.7e-02 1.5e-02 9.84e-01 1.660387394e+02 1.666105684e+02 1.2e-07 21.53 24 2.0e-04 6.4e-02 1.2e-02 1.00e+00 1.661168041e+02 1.665843144e+02 1.0e-07 22.37 25 1.8e-04 5.9e-02 1.1e-02 1.01e+00 1.661509657e+02 1.665714948e+02 9.2e-08 23.33 26 1.6e-04 5.4e-02 1.0e-02 1.01e+00 1.661806465e+02 1.665590029e+02 8.3e-08 24.24 27 1.4e-04 4.9e-02 9.0e-03 1.01e+00 1.662074899e+02 1.665479319e+02 7.5e-08 25.44 28 1.3e-04 4.5e-02 8.1e-03 1.01e+00 1.662315357e+02 1.665378686e+02 6.7e-08 25.60 29 1.2e-04 4.1e-02 7.3e-03 1.01e+00 1.662531176e+02 1.665287643e+02 6.0e-08 25.63 30 1.1e-04 3.8e-02 6.6e-03 1.01e+00 1.662724836e+02 1.665205226e+02 5.4e-08 25.71 31 9.5e-05 3.5e-02 5.9e-03 1.01e+00 1.662898630e+02 1.665130630e+02 4.9e-08 26.24 32 8.5e-05 3.2e-02 5.3e-03 1.01e+00 1.663054599e+02 1.665063115e+02 4.4e-08 27.77 33 7.7e-05 3.0e-02 4.8e-03 1.00e+00 1.663194577e+02 1.665002011e+02 4.0e-08 27.89 34 6.9e-05 2.7e-02 4.3e-03 1.00e+00 1.663320208e+02 1.664946714e+02 3.6e-08 27.93 35 6.2e-05 2.6e-02 3.9e-03 1.00e+00 1.663432972e+02 1.664896677e+02 3.2e-08 28.00 36 5.6e-05 2.4e-02 3.5e-03 1.00e+00 1.663534192e+02 1.664851408e+02 2.9e-08 29.70 37 5.0e-05 2.2e-02 3.1e-03 1.00e+00 1.663625061e+02 1.664810460e+02 2.6e-08 30.12 38 4.5e-05 2.1e-02 2.8e-03 1.00e+00 1.663706645e+02 1.664773428e+02 2.3e-08 30.20 39 4.1e-05 1.9e-02 2.5e-03 1.00e+00 1.663779900e+02 1.664739945e+02 2.1e-08 30.27 40 3.7e-05 1.8e-02 2.3e-03 1.00e+00 1.663845684e+02 1.664709677e+02 1.9e-08 30.29 41 3.3e-05 1.7e-02 2.1e-03 1.00e+00 1.663904764e+02 1.664682321e+02 1.7e-08 31.11 42 3.0e-05 1.6e-02 1.9e-03 1.00e+00 1.663957828e+02 1.664657600e+02 1.5e-08 32.09 43 2.7e-05 1.5e-02 1.7e-03 1.00e+00 1.664005493e+02 1.664635264e+02 1.4e-08 32.60 44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664048310e+02 1.664615087e+02 1.2e-08 33.14 45 2.2e-05 1.4e-02 1.4e-03 1.00e+00 1.664086776e+02 1.664596862e+02 1.1e-08 33.39 46 2.0e-05 1.3e-02 1.2e-03 1.00e+00 1.664121335e+02 1.664580402e+02 1.0e-08 33.82 47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664152386e+02 1.664565539e+02 9.1e-09 33.99 48 1.6e-05 1.2e-02 9.9e-04 1.00e+00 1.664180286e+02 1.664552119e+02 8.2e-09 34.22 49 1.4e-05 1.2e-02 8.9e-04 1.00e+00 1.664205358e+02 1.664540003e+02 7.4e-09 34.34 50 1.3e-05 1.1e-02 8.0e-04 1.00e+00 1.664227889e+02 1.664529067e+02 6.6e-09 34.46 51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664248138e+02 1.664519197e+02 6.0e-09 34.62 52 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.664266338e+02 1.664510290e+02 5.4e-09 34.66 53 9.3e-06 1.1e-02 5.8e-04 1.00e+00 1.664282697e+02 1.664502254e+02 4.8e-09 34.68 54 8.4e-06 1.0e-02 5.2e-04 1.00e+00 1.664297402e+02 1.664495003e+02 4.4e-09 34.70 55 7.6e-06 1.0e-02 4.7e-04 1.00e+00 1.664310622e+02 1.664488463e+02 3.9e-09 34.73 56 6.8e-06 9.8e-03 4.2e-04 1.00e+00 1.664322507e+02 1.664482564e+02 3.5e-09 34.76 57 6.1e-06 9.6e-03 3.8e-04 1.00e+00 1.664333192e+02 1.664477244e+02 3.2e-09 34.77 58 5.5e-06 9.5e-03 3.4e-04 1.00e+00 1.664342800e+02 1.664472447e+02 2.9e-09 35.25 59 5.0e-06 9.3e-03 3.1e-04 1.00e+00 1.664351438e+02 1.664468121e+02 2.6e-09 35.65 60 4.5e-06 9.2e-03 2.8e-04 1.00e+00 1.664359206e+02 1.664464221e+02 2.3e-09 35.85 61 4.0e-06 9.0e-03 2.5e-04 1.00e+00 1.664366190e+02 1.664460704e+02 2.1e-09 36.15 62 3.6e-06 8.9e-03 2.3e-04 1.00e+00 1.664372471e+02 1.664457534e+02 1.9e-09 36.49 63 3.3e-06 8.8e-03 2.0e-04 1.00e+00 1.664378118e+02 1.664454676e+02 1.7e-09 36.61 64 2.9e-06 8.7e-03 1.8e-04 1.00e+00 1.664383197e+02 1.664452099e+02 1.5e-09 36.78 65 2.6e-06 8.6e-03 1.6e-04 1.00e+00 1.664387764e+02 1.664449777e+02 1.4e-09 36.89 66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664391872e+02 1.664447685e+02 1.2e-09 36.92 67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664395568e+02 1.664445800e+02 1.1e-09 36.95 68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664398892e+02 1.664444101e+02 1.0e-09 36.98 69 1.7e-06 8.3e-03 1.1e-04 1.00e+00 1.664401883e+02 1.664442571e+02 9.0e-10 37.04 70 1.6e-06 8.3e-03 9.7e-05 1.00e+00 1.664404573e+02 1.664441193e+02 8.1e-10 37.35 71 1.4e-06 8.2e-03 8.7e-05 1.00e+00 1.664406993e+02 1.664439951e+02 7.3e-10 37.43 72 1.3e-06 8.2e-03 7.9e-05 1.00e+00 1.664409171e+02 1.664438833e+02 6.5e-10 37.55 73 1.1e-06 8.1e-03 7.1e-05 1.00e+00 1.664411130e+02 1.664437826e+02 5.9e-10 37.68 74 1.0e-06 8.1e-03 6.4e-05 1.00e+00 1.664412892e+02 1.664436919e+02 5.3e-10 37.90 75 9.2e-07 8.0e-03 5.7e-05 1.00e+00 1.664414478e+02 1.664436102e+02 4.8e-10 38.01 76 8.3e-07 8.0e-03 5.2e-05 1.00e+00 1.664415905e+02 1.664435367e+02 4.3e-10 38.16 77 7.4e-07 8.0e-03 4.6e-05 1.00e+00 1.664417188e+02 1.664434704e+02 3.9e-10 38.30 78 6.7e-07 7.9e-03 4.2e-05 1.00e+00 1.664418342e+02 1.664434107e+02 3.5e-10 38.51 79 6.0e-07 7.9e-03 3.8e-05 1.00e+00 1.664419381e+02 1.664433569e+02 3.1e-10 38.65 80 5.4e-07 7.9e-03 3.4e-05 1.00e+00 1.664420315e+02 1.664433085e+02 2.8e-10 38.88 81 4.9e-07 7.8e-03 3.0e-05 1.00e+00 1.664421156e+02 1.664432649e+02 2.5e-10 39.04 82 4.4e-07 7.8e-03 2.7e-05 9.99e-01 1.664421912e+02 1.664432256e+02 2.3e-10 39.45 83 4.0e-07 7.8e-03 2.5e-05 1.00e+00 1.664422592e+02 1.664431902e+02 2.1e-10 39.81 84 3.6e-07 7.8e-03 2.2e-05 1.00e+00 1.664423204e+02 1.664431582e+02 1.8e-10 40.12 85 3.2e-07 7.7e-03 2.0e-05 1.00e+00 1.664423754e+02 1.664431295e+02 1.7e-10 40.59 86 2.9e-07 7.7e-03 1.8e-05 1.00e+00 1.664424250e+02 1.664431036e+02 1.5e-10 41.17 87 2.6e-07 7.7e-03 1.6e-05 1.00e+00 1.664424696e+02 1.664430803e+02 1.3e-10 41.39 88 2.3e-07 7.7e-03 1.5e-05 9.98e-01 1.664425097e+02 1.664430594e+02 1.2e-10 41.42 89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664425458e+02 1.664430406e+02 1.1e-10 41.49 90 1.9e-07 7.6e-03 1.2e-05 9.99e-01 1.664425783e+02 1.664430236e+02 9.8e-11 41.50 91 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.664426075e+02 1.664430083e+02 8.8e-11 41.80 92 1.5e-07 7.6e-03 9.6e-06 1.00e+00 1.664426338e+02 1.664429945e+02 8.0e-11 42.32 93 1.4e-07 7.6e-03 8.6e-06 9.98e-01 1.664426575e+02 1.664429822e+02 7.2e-11 42.47 94 1.2e-07 7.6e-03 7.8e-06 1.00e+00 1.664426788e+02 1.664429710e+02 6.4e-11 42.80 95 1.1e-07 7.6e-03 7.0e-06 1.00e+00 1.664426980e+02 1.664429610e+02 5.8e-11 43.08 96 1.0e-07 7.6e-03 6.3e-06 9.99e-01 1.664427153e+02 1.664429520e+02 5.2e-11 43.21 97 9.1e-08 7.6e-03 5.7e-06 1.00e+00 1.664427309e+02 1.664429439e+02 4.7e-11 43.45 98 8.1e-08 7.5e-03 5.1e-06 9.99e-01 1.664427448e+02 1.664429366e+02 4.2e-11 43.59 99 7.3e-08 6.8e-03 4.6e-06 1.01e+00 1.664427577e+02 1.664429298e+02 3.8e-11 43.68 100 6.6e-08 6.1e-03 4.1e-06 9.95e-01 1.664427690e+02 1.664429239e+02 3.4e-11 43.71 101 5.9e-08 5.5e-03 3.7e-06 1.01e+00 1.664427792e+02 1.664429186e+02 3.1e-11 43.74 102 5.3e-08 4.9e-03 3.3e-06 1.01e+00 1.664427887e+02 1.664429136e+02 2.8e-11 43.79 103 4.8e-08 4.4e-03 3.0e-06 1.00e+00 1.664427969e+02 1.664429093e+02 2.5e-11 43.81 104 4.3e-08 4.0e-03 2.7e-06 1.01e+00 1.664428047e+02 1.664429052e+02 2.3e-11 43.85 105 3.9e-08 3.6e-03 2.4e-06 9.94e-01 1.664428113e+02 1.664429018e+02 2.0e-11 44.24 106 3.5e-08 3.2e-03 2.2e-06 1.00e+00 1.664428172e+02 1.664428987e+02 1.8e-11 44.37 107 3.2e-08 2.9e-03 2.0e-06 9.92e-01 1.664428226e+02 1.664428959e+02 1.7e-11 44.50 108 2.8e-08 2.6e-03 1.8e-06 1.01e+00 1.664428276e+02 1.664428933e+02 1.5e-11 44.61 109 2.6e-08 2.4e-03 1.6e-06 1.05e+00 1.664428328e+02 1.664428904e+02 1.4e-11 44.75 110 2.3e-08 2.1e-03 1.4e-06 1.00e+00 1.664428366e+02 1.664428885e+02 1.2e-11 45.22 111 2.1e-08 1.9e-03 1.3e-06 1.00e+00 1.664428400e+02 1.664428867e+02 1.1e-11 45.48 112 1.9e-08 1.7e-03 1.2e-06 1.01e+00 1.664428432e+02 1.664428851e+02 1.0e-11 45.72 113 1.7e-08 1.6e-03 1.0e-06 9.43e-01 1.664428459e+02 1.664428837e+02 9.1e-12 45.86 114 1.5e-08 1.4e-03 9.4e-07 9.57e-01 1.664428484e+02 1.664428825e+02 8.2e-12 45.95 115 1.4e-08 1.3e-03 8.5e-07 1.02e+00 1.664428508e+02 1.664428812e+02 7.4e-12 45.99 116 1.3e-08 1.1e-03 7.6e-07 1.01e+00 1.664428529e+02 1.664428801e+02 6.7e-12 46.05 117 1.1e-08 1.0e-03 6.9e-07 9.50e-01 1.664428547e+02 1.664428792e+02 6.0e-12 46.08 118 1.0e-08 9.2e-04 6.2e-07 1.22e+00 1.664428562e+02 1.664428786e+02 5.4e-12 46.66 119 9.9e-09 8.2e-04 5.6e-07 8.84e-01 1.664428576e+02 1.664428781e+02 4.9e-12 46.97 120 9.2e-09 7.4e-04 5.0e-07 1.37e+00 1.664428588e+02 1.664428777e+02 4.4e-12 47.69 121 8.1e-09 6.7e-04 4.5e-07 1.37e+00 1.664428601e+02 1.664428767e+02 4.0e-12 48.15 122 7.7e-09 6.0e-04 4.1e-07 9.10e-01 1.664428611e+02 1.664428763e+02 3.6e-12 48.24 123 6.7e-09 5.4e-04 3.7e-07 1.06e+00 1.664428623e+02 1.664428756e+02 3.3e-12 48.26 124 6.1e-09 4.9e-04 3.3e-07 9.69e-01 1.664428632e+02 1.664428752e+02 3.0e-12 48.30 125 5.4e-09 4.4e-04 3.0e-07 7.26e-01 1.664428639e+02 1.664428747e+02 2.7e-12 48.32 126 5.0e-09 3.9e-04 2.7e-07 8.29e-01 1.664428646e+02 1.664428744e+02 2.4e-12 48.36 127 4.6e-09 3.5e-04 2.4e-07 1.76e+00 1.664428652e+02 1.664428742e+02 2.2e-12 48.81 128 5.4e-09 3.2e-04 2.2e-07 9.11e-01 1.664428657e+02 1.664428740e+02 2.0e-12 48.93 129 4.7e-09 2.9e-04 1.9e-07 9.74e-01 1.664428662e+02 1.664428736e+02 1.8e-12 49.28 130 4.0e-09 2.6e-04 1.7e-07 8.90e-01 1.664428667e+02 1.664428734e+02 1.6e-12 49.40 131 3.7e-09 2.3e-04 1.6e-07 6.88e-01 1.664428671e+02 1.664428731e+02 1.4e-12 49.45 132 6.8e-09 2.1e-04 1.4e-07 1.00e+00 1.664428675e+02 1.664428729e+02 1.3e-12 49.95 133 6.1e-09 1.9e-04 1.3e-07 8.44e-01 1.664428678e+02 1.664428727e+02 1.2e-12 50.49 134 4.0e-09 1.7e-04 1.1e-07 1.15e+00 1.664428683e+02 1.664428723e+02 1.1e-12 50.61 135 4.5e-09 1.5e-04 1.0e-07 4.16e-01 1.664428686e+02 1.664428719e+02 9.9e-13 50.65 Interior-point optimizer terminated. Time: 50.67. Optimizer terminated. Time: 50.68 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6644286859e+02 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6644287191e+02 Viol. con: 0e+00 var: 9e-04 * End solution on dual form. * Transforming to primal solution. Solving took 50.7 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.03 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281180388e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259625299e+05 3.560276504e+00 4.8e-01 0.59 2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197268483e+05 1.024006337e+01 1.8e-01 0.86 3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150518280e+05 6.456505744e+01 1.2e-01 1.13 4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.124052369e+05 2.300152289e+03 1.2e-01 1.24 5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.417817066e+04 9.757612107e+03 3.3e-02 1.28 6 3.0e+01 3.8e+01 1.7e+03 -1.91e-01 -4.024530897e+04 1.031410672e+04 1.3e-02 1.33 7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.697124920e+04 6.726997862e+03 7.9e-03 1.37 8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.531795370e+04 3.871895431e+03 4.2e-03 1.51 9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.874945991e+03 1.809555995e+03 1.6e-03 2.03 10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.096585081e+03 1.203032276e+03 8.9e-04 2.16 11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.219601950e+03 6.194911688e+02 3.8e-04 2.40 12 8.2e-01 1.1e+00 4.6e+01 9.52e-01 -1.202443431e+03 5.954646141e+02 3.7e-04 2.81 13 5.1e-01 6.6e-01 2.9e+01 9.70e-01 -7.004837861e+02 4.298270966e+02 2.3e-04 3.17 14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.460446877e+02 3.419626556e+02 1.4e-04 3.43 15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.601051821e+01 2.150251097e+02 5.0e-05 3.52 16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.213677201e+01 2.053679337e+02 3.8e-05 3.56 17 4.1e-02 8.5e-02 2.3e+00 1.02e+00 9.691668756e+01 1.867781363e+02 1.9e-05 3.61 18 1.4e-02 8.5e-02 8.0e-01 1.02e+00 1.432922721e+02 1.740775043e+02 6.5e-06 3.66 19 5.8e-03 7.4e-02 3.4e-01 1.01e+00 1.565014349e+02 1.694310174e+02 2.7e-06 3.95 20 1.5e-03 1.5e-01 9.0e-02 1.01e+00 1.639324355e+02 1.673712405e+02 7.3e-07 4.20 21 7.1e-04 1.0e-01 4.4e-02 9.87e-01 1.652268492e+02 1.668857405e+02 3.6e-07 4.44 22 2.3e-04 1.1e-01 1.4e-02 9.99e-01 1.660354750e+02 1.665836553e+02 1.2e-07 4.66 23 1.1e-04 8.6e-02 6.9e-03 1.01e+00 1.662379722e+02 1.665007104e+02 5.8e-08 4.71 24 5.3e-05 7.5e-02 3.4e-03 1.01e+00 1.663316594e+02 1.664611550e+02 2.9e-08 4.92 25 4.8e-05 6.8e-02 3.1e-03 1.01e+00 1.663421736e+02 1.664587926e+02 2.6e-08 5.17 26 4.3e-05 6.2e-02 2.8e-03 1.01e+00 1.663501898e+02 1.664551077e+02 2.3e-08 5.35 27 3.9e-05 5.7e-02 2.5e-03 1.01e+00 1.663575037e+02 1.664519076e+02 2.1e-08 5.46 28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663640457e+02 1.664489894e+02 1.9e-08 5.78 29 3.1e-05 4.7e-02 2.0e-03 1.01e+00 1.663699231e+02 1.664463566e+02 1.7e-08 5.81 30 2.8e-05 4.4e-02 1.8e-03 1.01e+00 1.663752009e+02 1.664439780e+02 1.5e-08 5.85 31 2.5e-05 4.0e-02 1.6e-03 1.00e+00 1.663799414e+02 1.664418302e+02 1.4e-08 5.88 32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663841996e+02 1.664398908e+02 1.2e-08 5.94 33 2.1e-05 3.4e-02 1.3e-03 1.00e+00 1.663880249e+02 1.664381399e+02 1.1e-08 6.45 34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663914615e+02 1.664365594e+02 1.0e-08 6.61 35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663945491e+02 1.664351326e+02 9.1e-09 7.10 36 1.5e-05 2.7e-02 9.7e-04 1.00e+00 1.663973236e+02 1.664338450e+02 8.2e-09 7.48 37 1.3e-05 2.5e-02 8.7e-04 1.00e+00 1.663998167e+02 1.664326830e+02 7.4e-09 7.99 38 1.2e-05 2.3e-02 7.9e-04 1.00e+00 1.664020572e+02 1.664316344e+02 6.6e-09 8.08 39 1.1e-05 2.2e-02 7.1e-04 1.00e+00 1.664040708e+02 1.664306884e+02 6.0e-09 8.13 40 9.8e-06 2.0e-02 6.4e-04 1.00e+00 1.664058807e+02 1.664298349e+02 5.4e-09 8.17 41 8.9e-06 1.9e-02 5.7e-04 1.00e+00 1.664075076e+02 1.664290651e+02 4.8e-09 8.21 42 8.0e-06 1.8e-02 5.2e-04 1.00e+00 1.664089700e+02 1.664283707e+02 4.3e-09 8.51 43 7.2e-06 1.7e-02 4.6e-04 1.00e+00 1.664102848e+02 1.664277446e+02 3.9e-09 8.75 44 6.5e-06 1.6e-02 4.2e-04 1.00e+00 1.664114668e+02 1.664271800e+02 3.5e-09 9.13 45 5.8e-06 1.5e-02 3.8e-04 1.00e+00 1.664125296e+02 1.664266710e+02 3.2e-09 9.26 46 5.2e-06 1.5e-02 3.4e-04 1.00e+00 1.664134852e+02 1.664262121e+02 2.9e-09 9.65 47 4.7e-06 1.4e-02 3.0e-04 1.00e+00 1.664143445e+02 1.664257984e+02 2.6e-09 9.79 48 4.2e-06 1.3e-02 2.7e-04 1.00e+00 1.664151173e+02 1.664254255e+02 2.3e-09 10.33 49 3.8e-06 1.3e-02 2.5e-04 1.00e+00 1.664158121e+02 1.664250894e+02 2.1e-09 10.37 50 3.4e-06 1.2e-02 2.2e-04 1.00e+00 1.664164370e+02 1.664247863e+02 1.9e-09 10.40 51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664169989e+02 1.664245132e+02 1.7e-09 10.44 52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664175042e+02 1.664242671e+02 1.5e-09 10.80 53 2.5e-06 1.1e-02 1.6e-04 1.00e+00 1.664179588e+02 1.664240453e+02 1.4e-09 11.41 54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664183676e+02 1.664238455e+02 1.2e-09 11.74 55 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664187354e+02 1.664236655e+02 1.1e-09 12.03 56 1.8e-06 1.0e-02 1.2e-04 1.00e+00 1.664190664e+02 1.664235033e+02 1.0e-09 12.38 57 1.6e-06 1.0e-02 1.1e-04 1.00e+00 1.664193640e+02 1.664233573e+02 9.0e-10 12.60 58 1.5e-06 9.8e-03 9.6e-05 1.00e+00 1.664196319e+02 1.664232258e+02 8.1e-10 12.63 59 1.3e-06 9.6e-03 8.6e-05 1.00e+00 1.664198728e+02 1.664231074e+02 7.3e-10 12.66 60 1.2e-06 9.4e-03 7.8e-05 1.00e+00 1.664200896e+02 1.664230008e+02 6.5e-10 12.69 61 1.1e-06 9.3e-03 7.0e-05 1.00e+00 1.664202846e+02 1.664229047e+02 5.9e-10 12.74 62 9.7e-07 9.1e-03 6.3e-05 1.00e+00 1.664204601e+02 1.664228182e+02 5.3e-10 13.06 63 8.7e-07 9.0e-03 5.7e-05 1.00e+00 1.664206180e+02 1.664227402e+02 4.8e-10 13.20 64 7.8e-07 8.9e-03 5.1e-05 1.00e+00 1.664207600e+02 1.664226701e+02 4.3e-10 13.43 65 7.1e-07 8.8e-03 4.6e-05 1.00e+00 1.664208878e+02 1.664226068e+02 3.9e-10 13.67 66 6.4e-07 8.7e-03 4.1e-05 1.00e+00 1.664210028e+02 1.664225498e+02 3.5e-10 13.82 67 5.7e-07 8.6e-03 3.7e-05 1.00e+00 1.664211062e+02 1.664224986e+02 3.1e-10 14.22 68 5.1e-07 8.5e-03 3.3e-05 1.00e+00 1.664211992e+02 1.664224523e+02 2.8e-10 14.44 69 4.6e-07 8.4e-03 3.0e-05 1.00e+00 1.664212829e+02 1.664224107e+02 2.5e-10 14.61 70 4.2e-07 8.3e-03 2.7e-05 1.00e+00 1.664213581e+02 1.664223732e+02 2.3e-10 14.69 71 3.8e-07 8.3e-03 2.4e-05 1.00e+00 1.664214259e+02 1.664223394e+02 2.1e-10 14.80 72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214868e+02 1.664223089e+02 1.8e-10 14.81 73 3.0e-07 8.2e-03 2.0e-05 1.00e+00 1.664215416e+02 1.664222815e+02 1.7e-10 14.84 74 2.7e-07 8.1e-03 1.8e-05 1.00e+00 1.664215909e+02 1.664222568e+02 1.5e-10 14.97 75 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664216352e+02 1.664222345e+02 1.3e-10 15.78 76 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664216752e+02 1.664222145e+02 1.2e-10 15.85 77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217111e+02 1.664221965e+02 1.1e-10 15.97 78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217434e+02 1.664221802e+02 9.8e-11 16.39 79 1.6e-07 7.9e-03 1.0e-05 9.99e-01 1.664217725e+02 1.664221657e+02 8.8e-11 16.94 80 1.5e-07 7.9e-03 9.4e-06 1.00e+00 1.664217987e+02 1.664221525e+02 7.9e-11 17.07 81 1.3e-07 7.8e-03 8.5e-06 1.00e+00 1.664218222e+02 1.664221407e+02 7.2e-11 17.11 82 1.2e-07 7.8e-03 7.6e-06 9.99e-01 1.664218434e+02 1.664221301e+02 6.4e-11 17.16 83 1.1e-07 7.8e-03 6.9e-06 1.00e+00 1.664218625e+02 1.664221205e+02 5.8e-11 17.20 84 9.5e-08 7.8e-03 6.2e-06 1.00e+00 1.664218797e+02 1.664221118e+02 5.2e-11 17.23 85 8.6e-08 7.7e-03 5.6e-06 1.00e+00 1.664218951e+02 1.664221040e+02 4.7e-11 17.26 86 7.7e-08 7.7e-03 5.0e-06 1.00e+00 1.664219090e+02 1.664220971e+02 4.2e-11 17.62 87 7.0e-08 7.0e-03 4.5e-06 1.01e+00 1.664219218e+02 1.664220906e+02 3.8e-11 17.74 88 6.3e-08 6.3e-03 4.1e-06 1.00e+00 1.664219331e+02 1.664220849e+02 3.4e-11 17.85 89 5.6e-08 5.6e-03 3.7e-06 1.00e+00 1.664219432e+02 1.664220798e+02 3.1e-11 17.97 90 5.1e-08 5.1e-03 3.3e-06 1.00e+00 1.664219523e+02 1.664220753e+02 2.8e-11 18.12 91 4.6e-08 4.6e-03 3.0e-06 9.95e-01 1.664219604e+02 1.664220712e+02 2.5e-11 18.33 92 4.1e-08 4.1e-03 2.7e-06 1.01e+00 1.664219681e+02 1.664220673e+02 2.3e-11 18.70 93 3.7e-08 3.7e-03 2.4e-06 9.96e-01 1.664219747e+02 1.664220640e+02 2.0e-11 18.83 94 3.3e-08 3.3e-03 2.2e-06 1.00e+00 1.664219807e+02 1.664220610e+02 1.8e-11 18.96 95 3.0e-08 3.0e-03 1.9e-06 1.00e+00 1.664219860e+02 1.664220583e+02 1.6e-11 19.29 96 2.7e-08 2.7e-03 1.7e-06 9.95e-01 1.664219908e+02 1.664220559e+02 1.5e-11 19.35 97 2.4e-08 2.4e-03 1.6e-06 1.00e+00 1.664219951e+02 1.664220537e+02 1.3e-11 19.42 98 2.2e-08 2.2e-03 1.4e-06 1.01e+00 1.664219992e+02 1.664220517e+02 1.2e-11 19.45 99 2.0e-08 2.0e-03 1.3e-06 9.74e-01 1.664220026e+02 1.664220500e+02 1.1e-11 19.49 100 1.8e-08 1.8e-03 1.1e-06 1.01e+00 1.664220059e+02 1.664220483e+02 9.8e-12 20.00 101 1.6e-08 1.6e-03 1.0e-06 9.94e-01 1.664220087e+02 1.664220469e+02 8.8e-12 20.26 102 1.4e-08 1.4e-03 9.3e-07 1.04e+00 1.664220116e+02 1.664220454e+02 8.1e-12 20.37 103 1.3e-08 1.3e-03 8.4e-07 1.05e+00 1.664220144e+02 1.664220439e+02 7.4e-12 20.50 104 1.2e-08 1.2e-03 7.5e-07 9.77e-01 1.664220164e+02 1.664220429e+02 6.7e-12 20.89 105 1.0e-08 1.0e-03 6.8e-07 1.03e+00 1.664220184e+02 1.664220419e+02 6.1e-12 21.59 106 9.4e-09 9.4e-04 6.1e-07 1.06e+00 1.664220204e+02 1.664220409e+02 5.7e-12 21.64 107 8.5e-09 8.5e-04 5.5e-07 9.99e-01 1.664220217e+02 1.664220402e+02 5.1e-12 21.68 108 7.7e-09 7.6e-04 4.9e-07 1.02e+00 1.664220231e+02 1.664220395e+02 4.6e-12 21.72 109 6.9e-09 6.8e-04 4.4e-07 1.02e+00 1.664220243e+02 1.664220389e+02 4.2e-12 21.73 110 6.2e-09 6.2e-04 4.0e-07 1.02e+00 1.664220254e+02 1.664220384e+02 3.8e-12 21.74 111 5.6e-09 5.5e-04 3.6e-07 8.85e-01 1.664220262e+02 1.664220380e+02 3.4e-12 21.79 112 5.1e-09 5.0e-04 3.2e-07 9.40e-01 1.664220270e+02 1.664220376e+02 3.1e-12 22.03 113 4.6e-09 4.5e-04 2.9e-07 1.10e+00 1.664220280e+02 1.664220371e+02 2.9e-12 22.16 114 3.0e-09 2.8e-05 1.8e-08 8.59e-01 1.664220339e+02 1.664220345e+02 3.5e-13 22.28 Interior-point optimizer terminated. Time: 22.28. Optimizer terminated. Time: 22.29 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6642203393e+02 Viol. con: 6e-08 var: 0e+00 Dual. obj: 1.6642203453e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 22.3 seconds. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Computer Platform : MACOSX/64-X86 Cores : 4 Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Interior-point optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Total number of eliminations : 932 Eliminator terminated. Eliminator started. Total number of eliminations : 944 Eliminator terminated. Eliminator - tries : 2 time : 0.00 Eliminator - elim's : 944 Lin. dep. - tries : 1 time : 0.00 Lin. dep. - number : 0 Presolve terminated. Time: 0.01 Matrix reordering started. Local matrix reordering started. Local matrix reordering terminated. Matrix reordering terminated. Optimizer - threads : 4 Optimizer - solved problem : the primal Optimizer - Constraints : 776 Optimizer - Cones : 0 Optimizer - Scalar variables : 3451 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.02 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.02 Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05 Factor - dense dim. : 0 flops : 0.00e+00 Factor - GP saved nzs : 0 GP saved flops : 0.00e+00 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281171697e+05 2.000000000e+00 1.0e+00 0.04 1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259614431e+05 3.560065273e+00 4.8e-01 0.24 2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197068313e+05 1.025351799e+01 1.8e-01 0.38 3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150279779e+05 6.481752077e+01 1.2e-01 0.64 4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.123832083e+05 2.298634380e+03 1.2e-01 0.73 5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.396346020e+04 9.786614653e+03 3.3e-02 0.75 6 3.0e+01 3.8e+01 1.7e+03 -1.88e-01 -4.013432005e+04 1.027693472e+04 1.3e-02 0.78 7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.696800475e+04 6.723015620e+03 7.9e-03 0.79 8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.520122641e+04 3.849445902e+03 4.2e-03 0.81 9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.269745334e+03 1.687245554e+03 1.4e-03 0.82 10 1.6e+00 2.0e+00 8.6e+01 9.55e-01 -2.308431322e+03 1.041883850e+03 6.9e-04 0.84 11 1.0e+00 1.3e+00 5.8e+01 9.87e-01 -1.504108767e+03 7.650693402e+02 4.7e-04 0.87 12 8.8e-01 1.1e+00 4.9e+01 9.72e-01 -1.271651051e+03 6.591061964e+02 3.9e-04 1.02 13 4.6e-01 6.0e-01 2.6e+01 9.79e-01 -6.086009873e+02 4.195793924e+02 2.1e-04 1.17 14 2.4e-01 4.1e-01 1.4e+01 1.00e+00 -2.357837057e+02 2.978043279e+02 1.1e-04 1.51 15 9.5e-02 1.8e-01 5.4e+00 1.00e+00 -4.403572319e+00 2.074370101e+02 4.4e-05 1.55 16 8.8e-02 1.6e-01 5.0e+00 1.02e+00 1.377432379e+01 2.095617466e+02 4.1e-05 1.56 17 6.0e-02 1.1e-01 3.4e+00 1.02e+00 6.129856550e+01 1.956042626e+02 2.8e-05 1.58 18 3.3e-02 7.9e-02 1.9e+00 1.02e+00 1.095584712e+02 1.826765242e+02 1.5e-05 1.59 19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.514486031e+02 1.719167969e+02 4.3e-06 1.60 20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602344683e+02 1.684276803e+02 1.7e-06 1.61 21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642869736e+02 1.671994016e+02 6.3e-07 1.62 22 8.4e-04 1.0e-01 5.1e-02 9.86e-01 1.650113380e+02 1.669392729e+02 4.2e-07 1.63 23 2.5e-04 1.1e-01 1.6e-02 9.88e-01 1.659828102e+02 1.665842281e+02 1.3e-07 1.64 24 9.6e-05 1.0e-01 6.1e-03 1.01e+00 1.662457199e+02 1.664769558e+02 5.2e-08 1.66 25 3.8e-05 9.5e-02 2.4e-03 1.01e+00 1.663439537e+02 1.664356597e+02 2.1e-08 1.67 26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663784188e+02 1.664209241e+02 9.6e-09 1.68 27 1.6e-05 7.4e-02 1.0e-03 1.00e+00 1.663819531e+02 1.664202255e+02 8.7e-09 1.69 28 1.4e-05 6.7e-02 9.2e-04 1.01e+00 1.663845471e+02 1.664189847e+02 7.8e-09 1.70 29 1.3e-05 6.1e-02 8.2e-04 1.00e+00 1.663869255e+02 1.664179139e+02 7.0e-09 1.71 30 1.1e-05 5.6e-02 7.4e-04 1.00e+00 1.663890558e+02 1.664169409e+02 6.3e-09 1.72 31 1.0e-05 5.1e-02 6.7e-04 1.00e+00 1.663909715e+02 1.664160645e+02 5.7e-09 1.73 32 9.2e-06 4.7e-02 6.0e-04 1.00e+00 1.663926934e+02 1.664152740e+02 5.1e-09 1.75 33 8.3e-06 4.3e-02 5.4e-04 1.00e+00 1.663942414e+02 1.664145615e+02 4.6e-09 1.76 34 7.5e-06 3.9e-02 4.9e-04 1.00e+00 1.663956330e+02 1.664139191e+02 4.1e-09 1.77 35 6.7e-06 3.6e-02 4.4e-04 1.00e+00 1.663968842e+02 1.664133401e+02 3.7e-09 1.78 36 6.0e-06 3.3e-02 3.9e-04 1.00e+00 1.663980093e+02 1.664128183e+02 3.4e-09 1.79 37 5.4e-06 3.1e-02 3.5e-04 1.00e+00 1.663990209e+02 1.664123480e+02 3.0e-09 1.80 38 4.9e-06 2.9e-02 3.2e-04 1.00e+00 1.663999307e+02 1.664119241e+02 2.7e-09 1.81 39 4.4e-06 2.6e-02 2.9e-04 1.00e+00 1.664007488e+02 1.664115422e+02 2.4e-09 1.82 40 4.0e-06 2.5e-02 2.6e-04 1.00e+00 1.664014845e+02 1.664111980e+02 2.2e-09 1.93 41 3.6e-06 2.3e-02 2.3e-04 1.00e+00 1.664021462e+02 1.664108878e+02 2.0e-09 1.98 42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027412e+02 1.664106083e+02 1.8e-09 1.99 43 2.9e-06 2.0e-02 1.9e-04 1.00e+00 1.664032763e+02 1.664103565e+02 1.6e-09 2.00 44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037577e+02 1.664101295e+02 1.4e-09 2.01 45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664041906e+02 1.664099252e+02 1.3e-09 2.02 46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045801e+02 1.664097411e+02 1.2e-09 2.03 47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049306e+02 1.664095753e+02 1.1e-09 2.04 48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052458e+02 1.664094260e+02 9.5e-10 2.05 49 1.5e-06 1.4e-02 1.0e-04 1.00e+00 1.664055295e+02 1.664092915e+02 8.5e-10 2.06 50 1.4e-06 1.4e-02 9.0e-05 1.00e+00 1.664057847e+02 1.664091705e+02 7.7e-10 2.08 51 1.2e-06 1.3e-02 8.1e-05 1.00e+00 1.664060143e+02 1.664090615e+02 6.9e-10 2.09 52 1.1e-06 1.2e-02 7.3e-05 1.00e+00 1.664062208e+02 1.664089633e+02 6.2e-10 2.10 53 1.0e-06 1.2e-02 6.6e-05 1.00e+00 1.664064067e+02 1.664088749e+02 5.6e-10 2.11 54 9.1e-07 1.2e-02 5.9e-05 1.00e+00 1.664065739e+02 1.664087953e+02 5.0e-10 2.12 55 8.2e-07 1.1e-02 5.3e-05 1.00e+00 1.664067244e+02 1.664087236e+02 4.5e-10 2.13 56 7.4e-07 1.1e-02 4.8e-05 1.00e+00 1.664068597e+02 1.664086590e+02 4.1e-10 2.14 57 6.6e-07 1.1e-02 4.3e-05 1.00e+00 1.664069815e+02 1.664086008e+02 3.7e-10 2.15 58 6.0e-07 1.0e-02 3.9e-05 1.00e+00 1.664070910e+02 1.664085484e+02 3.3e-10 2.16 59 5.4e-07 1.0e-02 3.5e-05 1.00e+00 1.664071896e+02 1.664085012e+02 3.0e-10 2.17 60 4.8e-07 9.7e-03 3.1e-05 1.00e+00 1.664072782e+02 1.664084587e+02 2.7e-10 2.18 61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073579e+02 1.664084204e+02 2.4e-10 2.19 62 3.9e-07 9.3e-03 2.5e-05 1.00e+00 1.664074296e+02 1.664083859e+02 2.2e-10 2.20 63 3.5e-07 9.2e-03 2.3e-05 9.99e-01 1.664074941e+02 1.664083548e+02 2.0e-10 2.21 64 3.2e-07 9.0e-03 2.1e-05 1.00e+00 1.664075522e+02 1.664083268e+02 1.8e-10 2.22 65 2.8e-07 8.9e-03 1.9e-05 1.00e+00 1.664076044e+02 1.664083015e+02 1.6e-10 2.23 66 2.6e-07 8.7e-03 1.7e-05 1.00e+00 1.664076514e+02 1.664082788e+02 1.4e-10 2.24 67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076937e+02 1.664082583e+02 1.3e-10 2.25 68 2.1e-07 8.5e-03 1.4e-05 1.00e+00 1.664077317e+02 1.664082399e+02 1.2e-10 2.26 69 1.9e-07 8.4e-03 1.2e-05 1.00e+00 1.664077659e+02 1.664082232e+02 1.0e-10 2.27 70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077967e+02 1.664082083e+02 9.4e-11 2.28 71 1.5e-07 8.3e-03 9.9e-06 1.00e+00 1.664078245e+02 1.664081948e+02 8.4e-11 2.29 72 1.4e-07 8.2e-03 8.9e-06 1.00e+00 1.664078494e+02 1.664081827e+02 7.6e-11 2.30 73 1.2e-07 8.1e-03 8.0e-06 9.97e-01 1.664078718e+02 1.664081719e+02 6.8e-11 2.33 74 1.1e-07 8.1e-03 7.2e-06 1.00e+00 1.664078921e+02 1.664081620e+02 6.1e-11 2.39 75 9.9e-08 8.0e-03 6.5e-06 9.97e-01 1.664079102e+02 1.664081532e+02 5.5e-11 2.40 76 8.9e-08 8.0e-03 5.8e-06 1.01e+00 1.664079268e+02 1.664081451e+02 5.0e-11 2.41 77 8.0e-08 8.0e-03 5.2e-06 1.01e+00 1.664079416e+02 1.664081379e+02 4.5e-11 2.53 78 7.2e-08 7.2e-03 4.7e-06 1.01e+00 1.664079555e+02 1.664081310e+02 4.1e-11 2.54 79 6.5e-08 6.5e-03 4.3e-06 1.01e+00 1.664079676e+02 1.664081251e+02 3.7e-11 2.55 80 5.9e-08 5.8e-03 3.8e-06 9.97e-01 1.664079782e+02 1.664081200e+02 3.3e-11 2.99 81 5.3e-08 5.2e-03 3.4e-06 1.01e+00 1.664079879e+02 1.664081153e+02 3.0e-11 3.01 82 4.8e-08 4.7e-03 3.1e-06 1.01e+00 1.664079966e+02 1.664081110e+02 2.7e-11 3.06 83 4.3e-08 4.2e-03 2.8e-06 1.02e+00 1.664080048e+02 1.664081070e+02 2.4e-11 3.09 84 3.8e-08 3.8e-03 2.5e-06 9.88e-01 1.664080116e+02 1.664081037e+02 2.2e-11 3.15 85 3.5e-08 3.4e-03 2.3e-06 1.01e+00 1.664080179e+02 1.664081007e+02 2.0e-11 3.43 86 3.1e-08 3.1e-03 2.0e-06 9.84e-01 1.664080235e+02 1.664080980e+02 1.8e-11 3.44 87 2.8e-08 2.8e-03 1.8e-06 9.94e-01 1.664080285e+02 1.664080956e+02 1.6e-11 3.45 88 2.5e-08 2.5e-03 1.6e-06 1.00e+00 1.664080330e+02 1.664080934e+02 1.4e-11 3.46 89 2.3e-08 2.3e-03 1.5e-06 9.98e-01 1.664080371e+02 1.664080914e+02 1.3e-11 3.47 90 2.0e-08 2.0e-03 1.3e-06 9.85e-01 1.664080407e+02 1.664080896e+02 1.2e-11 3.48 91 1.8e-08 1.8e-03 1.2e-06 9.79e-01 1.664080440e+02 1.664080881e+02 1.0e-11 3.50 92 1.7e-08 1.6e-03 1.1e-06 1.01e+00 1.664080471e+02 1.664080866e+02 9.5e-12 3.70 93 1.5e-08 1.5e-03 9.7e-07 9.72e-01 1.664080497e+02 1.664080853e+02 8.5e-12 3.71 94 1.3e-08 1.3e-03 8.8e-07 1.02e+00 1.664080523e+02 1.664080840e+02 7.7e-12 3.76 95 1.2e-08 1.2e-03 7.9e-07 1.01e+00 1.664080545e+02 1.664080830e+02 7.0e-12 3.77 96 1.1e-08 1.1e-03 7.1e-07 1.03e+00 1.664080567e+02 1.664080819e+02 6.4e-12 3.78 97 9.8e-09 9.7e-04 6.4e-07 9.77e-01 1.664080584e+02 1.664080811e+02 5.7e-12 3.79 98 8.8e-09 8.7e-04 5.7e-07 1.00e+00 1.664080599e+02 1.664080803e+02 5.2e-12 3.80 99 8.0e-09 7.9e-04 5.2e-07 9.88e-01 1.664080613e+02 1.664080796e+02 4.6e-12 3.81 100 7.3e-09 7.1e-04 4.7e-07 9.60e-01 1.664080625e+02 1.664080791e+02 4.2e-12 3.82 101 6.6e-09 6.4e-04 4.2e-07 9.40e-01 1.664080636e+02 1.664080786e+02 3.8e-12 3.83 102 6.1e-09 5.7e-04 3.8e-07 9.98e-01 1.664080646e+02 1.664080781e+02 3.4e-12 3.84 103 5.3e-09 5.2e-04 3.4e-07 9.95e-01 1.664080655e+02 1.664080776e+02 3.0e-12 3.85 104 4.7e-09 4.6e-04 3.1e-07 9.74e-01 1.664080663e+02 1.664080772e+02 2.7e-12 3.86 105 4.3e-09 4.2e-04 2.7e-07 8.15e-01 1.664080670e+02 1.664080769e+02 2.5e-12 3.88 106 3.8e-09 3.8e-04 2.5e-07 1.05e+00 1.664080678e+02 1.664080765e+02 2.3e-12 3.89 107 3.5e-09 3.4e-04 2.2e-07 9.42e-01 1.664080684e+02 1.664080762e+02 2.0e-12 3.90 108 3.2e-09 3.0e-04 2.0e-07 9.61e-01 1.664080689e+02 1.664080760e+02 1.8e-12 3.91 109 2.9e-09 2.7e-04 1.8e-07 8.43e-01 1.664080694e+02 1.664080758e+02 1.7e-12 3.91 110 2.6e-09 2.5e-04 1.6e-07 1.07e+00 1.664080699e+02 1.664080755e+02 1.5e-12 3.95 111 2.4e-09 2.2e-04 1.5e-07 9.83e-01 1.664080703e+02 1.664080753e+02 1.4e-12 3.96 112 2.2e-09 2.0e-04 1.3e-07 9.06e-01 1.664080706e+02 1.664080751e+02 1.3e-12 3.99 113 2.1e-09 1.8e-04 1.2e-07 8.52e-01 1.664080709e+02 1.664080750e+02 1.1e-12 4.00 114 2.0e-09 1.6e-04 1.1e-07 1.24e+00 1.664080712e+02 1.664080748e+02 1.0e-12 4.02 115 2.0e-09 1.5e-04 9.6e-08 1.39e+00 1.664080714e+02 1.664080747e+02 9.1e-13 4.03 Interior-point optimizer terminated. Time: 4.03. Optimizer terminated. Time: 4.04 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6640807145e+02 Viol. con: 4e-08 var: 0e+00 Dual. obj: 1.6640807467e+02 Viol. con: 0e+00 var: 9e-04 * End solution on dual form. * Transforming to primal solution. Solving took 4.05 seconds. Solving took 9 GP solves and 581 seconds. Solves with these variables bounded: value near lower bound: Mission1.CruiseAlt value near upper bound: Mission1.T_{t_{4.1_{max-Cruise}}}, Mission1.Aircraft.Engine.Thrust.\alpha_{max}, Mission1.Aircraft.Wing.WingNoStruct.A_{tri}, Mission1.TotalTime, Mission1.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission1.Aircraft.LandingGear.d_{nacelle} Checking for relaxed constants... Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957407718683218e+110 vs 1.49570283047e+110 GP iteration 0 has relaxed constants Cost ---- 1.496e+110 Free Variables -------------- | Mission1.Aircraft.Engine.Turbine.Relax1 C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine | Mission1.Aircraft.Fuselage.Relax1 l_{nose} : 1.042 Nose length n_{pass} : [ 2.86 ] Number of passengers | Mission1.Aircraft.Relax1 f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift | Mission1.Aircraft.Wing.WingNoStruct.Relax1 \tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle | Mission1.FlightState.Atmosphere.Relax1 L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level | Mission1.Relax1 R_{req} : 2.362 Required Cruise Range GP iteration 1 has relaxed constants Cost ---- 7.486e+74 Free Variables -------------- | Mission1.Aircraft.Engine.Combustor.Relax1 hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2 | Mission1.Aircraft.Fuselage.Relax1 n_{pass} : [ 1.03 ] Number of passengers | Mission1.Aircraft.LandingGear.Relax1 h_{hold} : 1.006 Hold height Solution check warning: Primal solution computed cost did not match solver-returned cost: 3.705396675524039e+72 vs 3.70527328946e+72 WEIGHT DIFFERENCES Total Fuel Weight Percent Diff: [-92.94682084] Total Aircraft Weight Percent Diff: [-21.48055977] Engine Weight Percent Diff: -56.27824709950153 Fuselage Weight Percent Diff: -0.8697110000964435 Payload Weight Percent Diff: [-0.04003554] VT Weight Percent Diff: -8.607453648352912 HT Weight Percent Diff: -93.23323356779025 Wing Weight Percent Diff: 8.267460355908817 WING DIFFERENCES Wing Span Percent Diff: -0.029997497085063666 Wing Area Percent Diff: 32.900064729876476 HORIZONTAL TAIL DIFFERENCES HT Area Percent Diff: 40.489269017848095 VERTICAL TAIL DIFFERENCES VT Span Percent Diff: -11.022320620308179 VT Area Percent Diff: -60.38681799403143 CRUISE SEGMENT 1 DRAG DIFFERENCES Overall Cd Percent Diff: [-18.54730429] L/D Percent Diff: [24.01020822] Nacelle Cd Percent Diff: [-94.27640417] HT Cd Percent Diff: [-80.769358] dimensionless Fuselage Cd Percent Diff: [108.78752887] VT Cd Percent Diff: [-58.00301154] dimensionless Wing Cd percent Diff: [-14.22927771] Induced Drag Cd Percent Diff: [1.2193878] CRUISE SEGMENT 1 TSFC DIFFERENCES Initial Cruise TSFC Percent Diff: [-90.57035703] FUSELAGE DIFFERENCES Weight of HB material: -38.359530181386575 Weight of VB material: 87.82895222394824 Fan Propulsive Efficiency in Cruise Segment 1 --------------------- [0.71260512]