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Full Log \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 : 0.02 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 -1.281666983e+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 0.52
2 4.2e+02 5.4e+02 2.3e+04 -9.38e-01 -1.196986776e+05 1.049612556e+01 1.8e-01 0.57
3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.152517365e+05 6.526812103e+01 1.3e-01 0.82
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127868408e+05 2.118228548e+03 1.3e-01 0.95
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.068799576e+04 8.526618424e+03 3.9e-02 1.11
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.760458966e+04 1.028990388e+04 1.6e-02 1.23
7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.157726260e+04 7.236293748e+03 9.5e-03 1.48
8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.509593591e+04 4.206138280e+03 4.2e-03 1.68
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.773768620e+03 2.846846543e+03 2.5e-03 1.98
10 1.4e+00 1.8e+00 7.7e+01 9.08e-01 -2.041784782e+03 9.404571849e+02 6.1e-04 2.06
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.319589353e+02 7.263088852e+02 3.2e-04 2.08
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.792739518e+02 5.657797535e+02 2.2e-04 2.10
13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.146735073e+02 4.898416787e+02 1.6e-04 2.14
14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.839482231e+01 3.675794473e+02 7.9e-05 2.17
15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.625345294e+02 2.906236598e+02 2.7e-05 2.22
16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.998987374e+02 2.749101314e+02 1.6e-05 2.59
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445645877e+02 2.572751647e+02 2.8e-06 2.94
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509515436e+02 2.547018908e+02 8.4e-07 3.11
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527847280e+02 2.540260964e+02 2.8e-07 3.31
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532886539e+02 2.538372319e+02 1.2e-07 3.66
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533297254e+02 2.538234601e+02 1.1e-07 3.74
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533655498e+02 2.538098865e+02 1.0e-07 3.75
23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533978341e+02 2.537977210e+02 9.0e-08 3.76
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534268639e+02 2.537867483e+02 8.1e-08 3.77
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534529723e+02 2.537768567e+02 7.3e-08 4.33
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534764526e+02 2.537679389e+02 6.6e-08 4.39
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534975715e+02 2.537599013e+02 5.9e-08 4.72
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535165675e+02 2.537526578e+02 5.3e-08 4.73
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535336549e+02 2.537461308e+02 4.8e-08 4.75
30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535490262e+02 2.537402502e+02 4.3e-08 4.76
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535628541e+02 2.537349522e+02 3.9e-08 4.77
32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535752940e+02 2.537301795e+02 3.5e-08 4.78
33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535864855e+02 2.537258803e+02 3.1e-08 4.84
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535965542e+02 2.537220077e+02 2.8e-08 5.04
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536056128e+02 2.537185196e+02 2.5e-08 5.05
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536137629e+02 2.537153779e+02 2.3e-08 5.06
37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536210956e+02 2.537125484e+02 2.1e-08 5.07
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276932e+02 2.537100000e+02 1.9e-08 5.08
39 2.9e-05 1.8e-02 1.9e-03 1.00e+00 2.536336294e+02 2.537077051e+02 1.7e-08 5.10
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389705e+02 2.537056383e+02 1.5e-08 5.12
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437764e+02 2.537037772e+02 1.4e-08 5.13
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536481008e+02 2.537021013e+02 1.2e-08 5.17
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536519919e+02 2.537005922e+02 1.1e-08 5.20
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554932e+02 2.536992335e+02 9.9e-09 5.21
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586439e+02 2.536980100e+02 8.9e-09 5.22
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614790e+02 2.536969086e+02 8.0e-09 5.39
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536640303e+02 2.536959169e+02 7.2e-09 5.40
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536663262e+02 2.536950241e+02 6.5e-09 5.40
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683922e+02 2.536942204e+02 5.8e-09 5.41
50 9.0e-06 1.1e-02 6.0e-04 1.00e+00 2.536702514e+02 2.536934968e+02 5.2e-09 5.74
51 8.1e-06 1.0e-02 5.4e-04 1.00e+00 2.536719246e+02 2.536928455e+02 4.7e-09 6.03
52 7.3e-06 1.0e-02 4.9e-04 1.00e+00 2.536734303e+02 2.536922591e+02 4.3e-09 6.04
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747854e+02 2.536917313e+02 3.8e-09 6.05
54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536760048e+02 2.536912562e+02 3.4e-09 6.06
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536771022e+02 2.536908285e+02 3.1e-09 6.07
56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780898e+02 2.536904435e+02 2.8e-09 6.08
57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789786e+02 2.536900970e+02 2.5e-09 6.09
58 3.9e-06 8.9e-03 2.6e-04 1.00e+00 2.536797784e+02 2.536897850e+02 2.3e-09 6.10
59 3.5e-06 8.8e-03 2.3e-04 1.00e+00 2.536804983e+02 2.536895042e+02 2.0e-09 6.10
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811461e+02 2.536892515e+02 1.8e-09 6.12
61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536847023e+02 2.536878624e+02 7.1e-10 6.20
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849302e+02 2.536877743e+02 6.4e-10 6.21
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862404e+02 2.536872622e+02 2.3e-10 6.22
64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863139e+02 2.536872335e+02 2.1e-10 6.24
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863800e+02 2.536872077e+02 1.9e-10 6.25
66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864395e+02 2.536871844e+02 1.7e-10 6.26
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864930e+02 2.536871634e+02 1.5e-10 6.27
68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865412e+02 2.536871445e+02 1.4e-10 6.29
69 2.1e-07 5.8e-04 1.4e-05 9.99e-01 2.536865845e+02 2.536871276e+02 1.2e-10 6.49
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866236e+02 2.536871123e+02 1.1e-10 6.56
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866587e+02 2.536870985e+02 9.9e-11 6.60
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866903e+02 2.536870862e+02 8.9e-11 6.61
73 1.4e-07 3.8e-04 9.2e-06 9.99e-01 2.536867187e+02 2.536870750e+02 8.0e-11 6.61
74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867444e+02 2.536870650e+02 7.2e-11 6.62
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867674e+02 2.536870559e+02 6.5e-11 6.64
76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867882e+02 2.536870478e+02 5.9e-11 6.72
77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868068e+02 2.536870405e+02 5.3e-11 6.76
78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868236e+02 2.536870339e+02 4.8e-11 6.77
79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868388e+02 2.536870279e+02 4.3e-11 6.77
80 6.6e-08 1.8e-04 4.4e-06 1.00e+00 2.536868524e+02 2.536870226e+02 3.9e-11 6.78
81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868646e+02 2.536870178e+02 3.5e-11 6.79
82 5.3e-08 1.5e-04 3.6e-06 9.99e-01 2.536868756e+02 2.536870135e+02 3.1e-11 6.80
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868856e+02 2.536870096e+02 2.8e-11 6.98
84 4.3e-08 1.2e-04 2.9e-06 9.99e-01 2.536868945e+02 2.536870061e+02 2.5e-11 6.99
85 3.9e-08 1.1e-04 2.6e-06 9.98e-01 2.536869025e+02 2.536870030e+02 2.3e-11 7.48
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869097e+02 2.536870001e+02 2.0e-11 7.57
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869162e+02 2.536869976e+02 1.8e-11 7.79
88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869221e+02 2.536869953e+02 1.7e-11 7.80
89 2.5e-08 7.0e-05 1.7e-06 9.95e-01 2.536869273e+02 2.536869932e+02 1.5e-11 7.81
90 2.3e-08 6.3e-05 1.5e-06 1.01e+00 2.536869323e+02 2.536869913e+02 1.4e-11 7.82
91 2.1e-08 5.7e-05 1.4e-06 9.87e-01 2.536869365e+02 2.536869896e+02 1.2e-11 7.83
92 1.9e-08 5.1e-05 1.2e-06 1.00e+00 2.536869403e+02 2.536869881e+02 1.1e-11 7.84
93 1.7e-08 4.6e-05 1.1e-06 9.99e-01 2.536869438e+02 2.536869868e+02 9.8e-12 8.18
94 1.5e-08 4.1e-05 1.0e-06 1.00e+00 2.536869469e+02 2.536869855e+02 8.9e-12 8.19
95 1.3e-08 3.7e-05 9.1e-07 9.82e-01 2.536869497e+02 2.536869845e+02 8.0e-12 8.53
96 1.2e-08 3.4e-05 8.1e-07 9.94e-01 2.536869522e+02 2.536869835e+02 7.2e-12 8.79
97 1.1e-08 3.0e-05 7.3e-07 9.90e-01 2.536869544e+02 2.536869826e+02 6.5e-12 8.80
98 9.8e-09 2.7e-05 6.6e-07 9.91e-01 2.536869564e+02 2.536869818e+02 5.8e-12 8.82
Interior-point optimizer terminated. Time: 8.89.
Optimizer terminated. Time: 8.90
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695643e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698184e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 8.92 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 : 0.02 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 3.765030465e+00 4.7e-01 0.43
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.206226199e+05 9.889101589e+00 2.0e-01 0.67
3 2.9e+02 3.7e+02 1.6e+04 -8.49e-01 -1.154649667e+05 5.287064956e+01 1.3e-01 0.81
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133003651e+05 1.900915469e+03 1.3e-01 0.92
5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.788392958e+04 9.190691816e+03 3.6e-02 1.13
6 3.6e+01 4.6e+01 2.0e+03 -2.50e-01 -4.647713276e+04 1.020087223e+04 1.6e-02 1.18
7 1.8e+01 2.4e+01 1.0e+03 2.81e-01 -2.766870097e+04 6.418304589e+03 8.1e-03 1.39
8 9.2e+00 1.2e+01 5.1e+02 6.08e-01 -1.469555392e+04 4.041871912e+03 4.1e-03 1.42
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.070668296e+03 2.774702738e+03 2.5e-03 1.45
10 2.0e+00 2.5e+00 1.1e+02 9.04e-01 -3.094061921e+03 1.193657198e+03 8.8e-04 1.48
11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.466457332e+03 1.043401202e+03 7.2e-04 1.50
12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.308690262e+03 6.778787344e+02 4.0e-04 1.57
13 4.5e-01 6.9e-01 2.5e+01 9.85e-01 -5.549299004e+02 4.398443320e+02 2.0e-04 1.80
14 2.3e-01 3.6e-01 1.3e+01 9.98e-01 -1.980184032e+02 3.180837932e+02 1.1e-04 1.93
15 1.0e-01 1.7e-01 5.8e+00 1.00e+00 1.009292710e+01 2.372083398e+02 4.7e-05 2.02
16 5.1e-02 1.1e-01 2.9e+00 1.00e+00 9.056222324e+01 2.045814347e+02 2.4e-05 2.29
17 1.0e-02 1.5e-01 6.3e-01 1.00e+00 1.546595147e+02 1.792230597e+02 5.3e-06 2.44
18 6.3e-03 1.1e-01 3.9e-01 1.01e+00 1.614768358e+02 1.765369238e+02 3.2e-06 2.64
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694450706e+02 1.735001824e+02 8.9e-07 2.81
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717838482e+02 1.726276254e+02 1.9e-07 3.05
21 1.4e-04 1.1e-01 9.3e-03 9.93e-01 1.721423969e+02 1.725031081e+02 8.2e-08 3.29
22 8.9e-05 8.4e-02 5.9e-03 1.00e+00 1.722365069e+02 1.724653331e+02 5.2e-08 3.52
23 8.0e-05 7.8e-02 5.3e-03 1.00e+00 1.722544583e+02 1.724604742e+02 4.7e-08 3.68
24 7.2e-05 7.1e-02 4.8e-03 1.00e+00 1.722695531e+02 1.724549692e+02 4.2e-08 3.72
25 6.5e-05 6.5e-02 4.3e-03 1.00e+00 1.722831748e+02 1.724500487e+02 3.8e-08 3.74
26 5.8e-05 5.9e-02 3.9e-03 1.00e+00 1.722954056e+02 1.724455907e+02 3.4e-08 3.77
27 5.2e-05 5.4e-02 3.5e-03 1.00e+00 1.723064004e+02 1.724415654e+02 3.1e-08 4.18
28 4.7e-05 4.9e-02 3.2e-03 1.00e+00 1.723162808e+02 1.724379276e+02 2.8e-08 4.43
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723251597e+02 1.724346402e+02 2.5e-08 4.58
30 3.8e-05 4.2e-02 2.6e-03 1.00e+00 1.723331385e+02 1.724316695e+02 2.2e-08 4.93
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723403088e+02 1.724289855e+02 2.0e-08 5.17
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723467531e+02 1.724265611e+02 1.8e-08 5.41
33 2.8e-05 3.3e-02 1.9e-03 1.00e+00 1.723525456e+02 1.724243720e+02 1.6e-08 5.59
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723577527e+02 1.724223958e+02 1.5e-08 5.84
35 2.3e-05 2.8e-02 1.5e-03 1.00e+00 1.723624341e+02 1.724206124e+02 1.3e-08 5.89
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723666434e+02 1.724190034e+02 1.2e-08 5.91
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723704283e+02 1.724175520e+02 1.1e-08 6.00
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723738320e+02 1.724162431e+02 9.7e-09 6.06
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723768931e+02 1.724150629e+02 8.7e-09 6.34
40 1.3e-05 2.0e-02 8.9e-04 1.00e+00 1.723796461e+02 1.724139988e+02 7.8e-09 6.58
41 1.2e-05 1.9e-02 8.0e-04 1.00e+00 1.723821222e+02 1.724130395e+02 7.0e-09 6.80
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723843493e+02 1.724121749e+02 6.3e-09 7.10
43 9.7e-06 1.6e-02 6.5e-04 1.00e+00 1.723863526e+02 1.724113956e+02 5.7e-09 7.24
44 8.7e-06 1.6e-02 5.8e-04 1.00e+00 1.723881547e+02 1.724106934e+02 5.1e-09 7.36
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723897757e+02 1.724100606e+02 4.6e-09 7.56
46 7.1e-06 1.4e-02 4.7e-04 1.00e+00 1.723912340e+02 1.724094904e+02 4.2e-09 7.72
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723925459e+02 1.724089767e+02 3.7e-09 7.97
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723937261e+02 1.724085139e+02 3.4e-09 8.14
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723947879e+02 1.724080970e+02 3.0e-09 8.18
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723957433e+02 1.724077214e+02 2.7e-09 8.25
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723966028e+02 1.724073832e+02 2.5e-09 8.75
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723973761e+02 1.724070785e+02 2.2e-09 8.98
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980720e+02 1.724068041e+02 2.0e-09 9.24
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986980e+02 1.724065570e+02 1.8e-09 9.51
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992614e+02 1.724063345e+02 1.6e-09 9.73
56 2.5e-06 9.8e-03 1.7e-04 1.00e+00 1.723997683e+02 1.724061341e+02 1.4e-09 10.13
57 2.2e-06 9.6e-03 1.5e-04 1.00e+00 1.724002244e+02 1.724059537e+02 1.3e-09 10.26
58 2.0e-06 9.4e-03 1.3e-04 1.00e+00 1.724006348e+02 1.724057912e+02 1.2e-09 10.37
59 1.8e-06 9.2e-03 1.2e-04 1.00e+00 1.724010041e+02 1.724056449e+02 1.1e-09 10.41
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013364e+02 1.724055131e+02 9.5e-10 10.44
61 1.5e-06 8.9e-03 9.8e-05 1.00e+00 1.724016354e+02 1.724053945e+02 8.6e-10 10.47
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724019045e+02 1.724052877e+02 7.7e-10 10.56
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021467e+02 1.724051915e+02 6.9e-10 10.88
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023645e+02 1.724051050e+02 6.2e-10 11.24
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025606e+02 1.724050270e+02 5.6e-10 11.49
66 8.6e-07 8.3e-03 5.8e-05 1.00e+00 1.724027370e+02 1.724049568e+02 5.1e-10 11.66
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028958e+02 1.724048936e+02 4.5e-10 11.87
68 7.0e-07 8.2e-03 4.7e-05 1.00e+00 1.724030387e+02 1.724048367e+02 4.1e-10 12.04
69 6.3e-07 8.1e-03 4.2e-05 1.00e+00 1.724031673e+02 1.724047855e+02 3.7e-10 12.29
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032830e+02 1.724047394e+02 3.3e-10 12.42
71 5.1e-07 8.0e-03 3.4e-05 1.00e+00 1.724033871e+02 1.724046979e+02 3.0e-10 12.62
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034808e+02 1.724046605e+02 2.7e-10 12.67
73 4.1e-07 7.9e-03 2.8e-05 1.00e+00 1.724035651e+02 1.724046268e+02 2.4e-10 12.78
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036409e+02 1.724045965e+02 2.2e-10 12.82
75 3.3e-07 7.8e-03 2.2e-05 1.00e+00 1.724037092e+02 1.724045692e+02 2.0e-10 13.24
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037706e+02 1.724045447e+02 1.8e-10 13.62
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038259e+02 1.724045226e+02 1.6e-10 13.69
78 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038757e+02 1.724045027e+02 1.4e-10 13.87
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039205e+02 1.724044847e+02 1.3e-10 14.01
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039608e+02 1.724044686e+02 1.2e-10 14.17
81 1.8e-07 7.6e-03 1.2e-05 1.00e+00 1.724039970e+02 1.724044541e+02 1.0e-10 14.30
82 1.6e-07 7.6e-03 1.1e-05 1.00e+00 1.724040296e+02 1.724044410e+02 9.4e-11 14.66
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040590e+02 1.724044292e+02 8.4e-11 14.89
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040854e+02 1.724044186e+02 7.6e-11 14.91
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041092e+02 1.724044091e+02 6.8e-11 14.94
86 1.0e-07 7.5e-03 7.0e-06 1.00e+00 1.724041306e+02 1.724044005e+02 6.1e-11 14.97
87 9.4e-08 7.4e-03 6.3e-06 1.00e+00 1.724041499e+02 1.724043927e+02 5.5e-11 14.98
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041672e+02 1.724043858e+02 5.0e-11 15.44
89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041828e+02 1.724043795e+02 4.5e-11 15.67
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041968e+02 1.724043739e+02 4.0e-11 15.92
91 6.2e-08 7.4e-03 4.1e-06 1.00e+00 1.724042094e+02 1.724043688e+02 3.6e-11 16.08
92 5.6e-08 7.4e-03 3.7e-06 9.99e-01 1.724042208e+02 1.724043642e+02 3.3e-11 16.28
93 5.0e-08 7.4e-03 3.3e-06 1.00e+00 1.724042310e+02 1.724043601e+02 2.9e-11 16.39
94 4.5e-08 7.3e-03 3.0e-06 9.99e-01 1.724042402e+02 1.724043564e+02 2.6e-11 16.78
95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042485e+02 1.724043531e+02 2.4e-11 17.12
96 3.6e-08 7.3e-03 2.4e-06 1.00e+00 1.724042560e+02 1.724043501e+02 2.1e-11 17.17
97 3.3e-08 7.3e-03 2.2e-06 9.99e-01 1.724042627e+02 1.724043474e+02 1.9e-11 17.29
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042687e+02 1.724043449e+02 1.7e-11 17.63
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042741e+02 1.724043427e+02 1.6e-11 17.64
100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042790e+02 1.724043408e+02 1.4e-11 17.65
101 2.2e-08 7.3e-03 1.4e-06 9.99e-01 1.724042834e+02 1.724043390e+02 1.3e-11 17.67
102 1.9e-08 7.3e-03 1.3e-06 9.99e-01 1.724042874e+02 1.724043374e+02 1.1e-11 17.67
103 1.7e-08 6.5e-03 1.2e-06 1.01e+00 1.724042910e+02 1.724043359e+02 1.0e-11 17.69
104 1.6e-08 5.9e-03 1.1e-06 9.99e-01 1.724042942e+02 1.724043346e+02 9.2e-12 17.70
105 1.4e-08 5.3e-03 9.5e-07 9.99e-01 1.724042971e+02 1.724043335e+02 8.3e-12 17.79
106 3.5e-09 1.3e-03 2.4e-07 1.00e+00 1.724043165e+02 1.724043256e+02 2.1e-12 17.82
107 3.2e-09 1.2e-03 2.1e-07 9.78e-01 1.724043172e+02 1.724043253e+02 1.9e-12 17.98
108 6.9e-10 2.6e-04 4.6e-08 9.99e-01 1.724043217e+02 1.724043235e+02 4.1e-13 18.06
Interior-point optimizer terminated. Time: 18.06.
Optimizer terminated. Time: 18.07
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432172e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432350e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 18.1 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 : 0.02 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 -1.285051260e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263516762e+05 3.622987427e+00 4.8e-01 0.54
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203749032e+05 1.006399231e+01 1.9e-01 0.93
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.156664676e+05 6.036391754e+01 1.3e-01 1.15
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131640654e+05 2.177939812e+03 1.3e-01 1.38
5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.692505704e+04 9.482544466e+03 3.5e-02 1.54
6 4.0e+01 5.1e+01 2.2e+03 -2.30e-01 -5.033254542e+04 1.013241976e+04 1.8e-02 1.58
7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.131699437e+04 8.369854868e+03 1.3e-02 1.63
8 1.8e+01 2.3e+01 1.0e+03 3.84e-01 -2.789881178e+04 5.363495693e+03 8.0e-03 1.65
9 7.8e+00 1.0e+01 4.3e+02 6.13e-01 -1.276861120e+04 3.127655419e+03 3.4e-03 1.67
10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.365153954e+03 2.113270057e+03 1.8e-03 2.05
11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.529552547e+03 1.328166043e+03 1.0e-03 2.18
12 9.6e-01 1.2e+00 5.4e+01 9.75e-01 -1.403510050e+03 6.746279540e+02 4.3e-04 2.29
13 7.9e-01 1.0e+00 4.5e+01 9.75e-01 -1.156769255e+03 5.907341513e+02 3.5e-04 2.40
14 7.4e-01 9.7e-01 4.2e+01 9.79e-01 -1.057471816e+03 5.717601864e+02 3.3e-04 2.64
15 2.6e-01 3.8e-01 1.5e+01 9.81e-01 -2.737788283e+02 3.081500515e+02 1.2e-04 2.91
16 1.5e-01 3.5e-01 8.3e+00 1.01e+00 -8.642070852e+01 2.392252030e+02 6.7e-05 3.03
17 8.3e-02 2.1e-01 4.8e+00 1.01e+00 1.791703746e+01 2.035091071e+02 3.8e-05 3.25
18 8.2e-02 2.1e-01 4.7e+00 1.02e+00 1.974550362e+01 2.036482037e+02 3.8e-05 3.32
19 6.8e-02 1.8e-01 3.9e+00 1.01e+00 5.098867939e+01 2.030408419e+02 3.2e-05 3.54
20 2.0e-02 1.0e-01 1.2e+00 1.01e+00 1.311391085e+02 1.772958458e+02 9.6e-06 3.65
21 6.2e-03 1.8e-01 3.7e-01 1.02e+00 1.567389536e+02 1.709888125e+02 3.0e-06 3.80
22 5.8e-03 1.7e-01 3.5e-01 9.83e-01 1.572781777e+02 1.705714488e+02 2.8e-06 3.81
23 4.3e-03 1.3e-01 2.6e-01 9.58e-01 1.597735020e+02 1.696670378e+02 2.1e-06 3.83
24 2.0e-03 7.8e-02 1.2e-01 9.73e-01 1.636473018e+02 1.683047581e+02 9.8e-07 3.86
25 1.2e-03 6.0e-02 7.4e-02 1.00e+00 1.650413570e+02 1.678696607e+02 6.0e-07 3.90
26 4.9e-04 8.1e-02 3.0e-02 1.01e+00 1.662737403e+02 1.674315935e+02 2.5e-07 3.92
27 2.2e-04 8.3e-02 1.4e-02 1.01e+00 1.667346213e+02 1.672491266e+02 1.1e-07 3.93
28 2.0e-04 7.6e-02 1.2e-02 1.01e+00 1.667749281e+02 1.672380170e+02 1.0e-07 4.30
29 1.8e-04 6.9e-02 1.1e-02 1.01e+00 1.668078165e+02 1.672244407e+02 9.0e-08 4.44
30 1.6e-04 6.3e-02 9.9e-03 1.01e+00 1.668374813e+02 1.672123253e+02 8.1e-08 4.67
31 1.4e-04 5.7e-02 8.9e-03 1.01e+00 1.668639848e+02 1.672012432e+02 7.3e-08 4.93
32 1.3e-04 5.2e-02 8.0e-03 1.01e+00 1.668877432e+02 1.671911910e+02 6.5e-08 5.15
33 1.2e-04 4.8e-02 7.2e-03 1.01e+00 1.669090372e+02 1.671820694e+02 5.9e-08 5.32
34 1.0e-04 4.4e-02 6.5e-03 1.01e+00 1.669281290e+02 1.671737991e+02 5.3e-08 5.58
35 9.3e-05 4.0e-02 5.8e-03 1.01e+00 1.669452495e+02 1.671663040e+02 4.8e-08 5.69
36 8.4e-05 3.7e-02 5.2e-03 1.01e+00 1.669606058e+02 1.671595147e+02 4.3e-08 5.85
37 7.6e-05 3.4e-02 4.7e-03 1.01e+00 1.669743824e+02 1.671533675e+02 3.9e-08 5.97
38 6.8e-05 3.1e-02 4.3e-03 1.01e+00 1.669867440e+02 1.671478035e+02 3.5e-08 6.04
39 6.1e-05 2.9e-02 3.8e-03 1.00e+00 1.669978378e+02 1.671427692e+02 3.1e-08 6.07
40 5.5e-05 2.7e-02 3.4e-03 1.00e+00 1.670077953e+02 1.671382156e+02 2.8e-08 6.13
41 5.0e-05 2.5e-02 3.1e-03 1.00e+00 1.670167343e+02 1.671340978e+02 2.5e-08 6.16
42 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.670247600e+02 1.671303752e+02 2.3e-08 6.18
43 4.0e-05 2.2e-02 2.5e-03 1.00e+00 1.670319665e+02 1.671270104e+02 2.1e-08 6.59
44 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.670384384e+02 1.671239700e+02 1.8e-08 6.82
45 3.3e-05 1.9e-02 2.0e-03 1.00e+00 1.670442511e+02 1.671212232e+02 1.7e-08 7.00
46 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.670494724e+02 1.671187421e+02 1.5e-08 7.20
47 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.670541629e+02 1.671165015e+02 1.3e-08 7.34
48 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.670583771e+02 1.671144785e+02 1.2e-08 7.57
49 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.670621636e+02 1.671126522e+02 1.1e-08 7.59
50 1.9e-05 1.5e-02 1.2e-03 1.00e+00 1.670655662e+02 1.671110038e+02 9.8e-09 7.73
51 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.670686240e+02 1.671095162e+02 8.9e-09 7.76
52 1.6e-05 1.3e-02 9.7e-04 1.00e+00 1.670713723e+02 1.671081738e+02 8.0e-09 8.04
53 1.4e-05 1.3e-02 8.8e-04 1.00e+00 1.670738426e+02 1.671069629e+02 7.2e-09 8.06
54 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.670760632e+02 1.671058706e+02 6.5e-09 8.07
55 1.1e-05 1.2e-02 7.1e-04 1.00e+00 1.670780594e+02 1.671048854e+02 5.8e-09 8.14
56 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.670798541e+02 1.671039970e+02 5.2e-09 8.75
57 9.2e-06 1.1e-02 5.7e-04 1.00e+00 1.670814678e+02 1.671031961e+02 4.7e-09 9.15
58 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.670829188e+02 1.671024740e+02 4.2e-09 9.16
59 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.670842236e+02 1.671018230e+02 3.8e-09 9.17
60 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.670853970e+02 1.671012363e+02 3.4e-09 9.18
61 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.670864523e+02 1.671007075e+02 3.1e-09 9.29
62 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.670874015e+02 1.671002310e+02 2.8e-09 9.30
63 2.1e-06 3.8e-03 1.3e-04 1.00e+00 1.670926601e+02 1.670975616e+02 1.1e-09 9.86
64 8.3e-07 1.5e-03 5.2e-05 1.00e+00 1.670945991e+02 1.670965756e+02 4.3e-10 10.25
65 7.5e-07 1.4e-03 4.7e-05 1.00e+00 1.670947337e+02 1.670965126e+02 3.9e-10 10.26
66 4.5e-07 8.2e-04 2.8e-05 1.00e+00 1.670951995e+02 1.670962706e+02 2.3e-10 10.27
67 4.1e-07 7.4e-04 2.6e-05 1.00e+00 1.670952711e+02 1.670962350e+02 2.1e-10 10.28
68 3.7e-07 6.6e-04 2.3e-05 1.00e+00 1.670953346e+02 1.670962021e+02 1.9e-10 10.29
69 3.3e-07 6.0e-04 2.1e-05 9.99e-01 1.670953918e+02 1.670961725e+02 1.7e-10 10.30
70 3.0e-07 5.4e-04 1.9e-05 1.00e+00 1.670954431e+02 1.670961458e+02 1.5e-10 10.81
71 2.7e-07 4.8e-04 1.7e-05 1.00e+00 1.670954894e+02 1.670961218e+02 1.4e-10 10.82
72 2.4e-07 4.4e-04 1.5e-05 9.98e-01 1.670955309e+02 1.670961002e+02 1.2e-10 11.54
73 2.2e-07 3.9e-04 1.4e-05 1.00e+00 1.670955684e+02 1.670960807e+02 1.1e-10 12.27
74 1.9e-07 3.5e-04 1.2e-05 1.00e+00 1.670956020e+02 1.670960631e+02 1.0e-10 12.40
75 1.7e-07 3.2e-04 1.1e-05 1.00e+00 1.670956323e+02 1.670960473e+02 9.0e-11 12.66
76 1.6e-07 2.9e-04 9.9e-06 1.00e+00 1.670956596e+02 1.670960330e+02 8.1e-11 12.79
77 1.4e-07 2.6e-04 8.9e-06 9.99e-01 1.670956841e+02 1.670960202e+02 7.3e-11 12.92
78 1.3e-07 2.3e-04 8.0e-06 9.98e-01 1.670957062e+02 1.670960087e+02 6.6e-11 12.93
79 1.1e-07 2.1e-04 7.2e-06 9.96e-01 1.670957260e+02 1.670959984e+02 5.9e-11 12.96
80 1.0e-07 1.9e-04 6.5e-06 1.01e+00 1.670957444e+02 1.670959887e+02 5.3e-11 13.49
81 9.3e-08 1.7e-04 5.8e-06 1.00e+00 1.670957605e+02 1.670959803e+02 4.8e-11 14.26
82 8.4e-08 1.5e-04 5.3e-06 9.96e-01 1.670957749e+02 1.670959728e+02 4.3e-11 14.87
83 7.5e-08 1.4e-04 4.7e-06 1.01e+00 1.670957883e+02 1.670959657e+02 3.9e-11 15.81
84 6.8e-08 1.2e-04 4.3e-06 9.99e-01 1.670957999e+02 1.670959596e+02 3.5e-11 16.41
85 6.1e-08 1.1e-04 3.8e-06 1.00e+00 1.670958105e+02 1.670959541e+02 3.2e-11 17.52
86 5.5e-08 1.0e-04 3.4e-06 1.01e+00 1.670958200e+02 1.670959491e+02 2.8e-11 18.37
87 4.9e-08 9.0e-05 3.1e-06 9.96e-01 1.670958285e+02 1.670959447e+02 2.6e-11 18.51
88 4.4e-08 8.1e-05 2.8e-06 1.00e+00 1.670958362e+02 1.670959406e+02 2.3e-11 18.98
89 4.0e-08 7.3e-05 2.5e-06 9.78e-01 1.670958430e+02 1.670959371e+02 2.1e-11 19.12
90 3.6e-08 6.5e-05 2.3e-06 9.99e-01 1.670958492e+02 1.670959339e+02 1.9e-11 19.37
91 3.2e-08 5.9e-05 2.0e-06 1.05e+00 1.670958559e+02 1.670959303e+02 1.7e-11 19.53
92 2.9e-08 5.3e-05 1.8e-06 1.02e+00 1.670958611e+02 1.670959275e+02 1.6e-11 19.57
93 2.6e-08 4.8e-05 1.6e-06 1.02e+00 1.670958658e+02 1.670959250e+02 1.4e-11 19.60
94 2.4e-08 4.3e-05 1.5e-06 9.88e-01 1.670958697e+02 1.670959230e+02 1.3e-11 20.09
95 2.1e-08 3.9e-05 1.3e-06 1.02e+00 1.670958736e+02 1.670959210e+02 1.2e-11 20.10
96 1.9e-08 3.5e-05 1.2e-06 1.03e+00 1.670958771e+02 1.670959191e+02 1.1e-11 20.11
97 1.7e-08 3.1e-05 1.1e-06 1.02e+00 1.670958801e+02 1.670959175e+02 9.6e-12 20.12
98 1.6e-08 2.8e-05 9.7e-07 1.02e+00 1.670958828e+02 1.670959161e+02 8.7e-12 20.13
Interior-point optimizer terminated. Time: 20.13.
Optimizer terminated. Time: 20.14
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709588280e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709591612e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 20.2 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 -1.282340834e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260941562e+05 3.573266745e+00 4.8e-01 0.24
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.200565657e+05 1.003090996e+01 1.9e-01 0.25
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.153564028e+05 6.135569658e+01 1.3e-01 0.26
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.127106635e+05 2.301022754e+03 1.3e-01 0.27
5 7.4e+01 9.5e+01 4.1e+03 -7.54e-01 -7.385921349e+04 1.001974950e+04 3.3e-02 0.28
6 3.6e+01 4.7e+01 2.0e+03 -1.86e-01 -4.686868420e+04 1.035872058e+04 1.6e-02 0.29
7 2.2e+01 2.8e+01 1.2e+03 2.80e-01 -3.229423874e+04 7.125782588e+03 9.7e-03 0.31
8 1.3e+01 1.7e+01 7.4e+02 5.41e-01 -2.102015966e+04 4.794210319e+03 5.9e-03 0.32
9 5.2e+00 6.7e+00 2.9e+02 7.27e-01 -8.482323004e+03 2.381461027e+03 2.3e-03 0.64
10 2.4e+00 3.0e+00 1.3e+02 9.16e-01 -3.662348384e+03 1.406281420e+03 1.1e-03 0.86
11 1.7e+00 2.2e+00 9.5e+01 9.76e-01 -2.587814186e+03 1.057495565e+03 7.6e-04 0.87
12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.195682244e+03 6.123681794e+02 3.7e-04 0.88
13 7.6e-01 1.1e+00 4.2e+01 9.50e-01 -1.098085756e+03 5.684112067e+02 3.4e-04 1.07
14 6.1e-01 8.7e-01 3.4e+01 9.86e-01 -8.367317467e+02 5.040853754e+02 2.7e-04 1.13
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.535781102e+02 2.533281911e+02 8.4e-05 1.18
16 1.0e-01 1.8e-01 5.9e+00 1.01e+00 -2.006078897e+01 2.117117385e+02 4.8e-05 2.10
17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.844831092e+01 2.119465078e+02 4.8e-05 2.74
18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.413395385e+01 2.123038373e+02 4.1e-05 2.85
19 3.5e-02 9.7e-02 2.0e+00 1.01e+00 1.053784560e+02 1.837340833e+02 1.6e-05 3.00
20 1.0e-02 1.7e-01 6.0e-01 1.01e+00 1.496760070e+02 1.726889659e+02 4.8e-06 3.23
21 3.1e-03 1.8e-01 1.9e-01 1.01e+00 1.612162725e+02 1.684506689e+02 1.5e-06 3.25
22 1.2e-03 1.2e-01 7.5e-02 1.01e+00 1.645522876e+02 1.674150487e+02 6.2e-07 3.27
23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.656029508e+02 1.670405594e+02 3.1e-07 3.32
24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662299184e+02 1.668057349e+02 1.3e-07 3.35
25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662753229e+02 1.667934013e+02 1.1e-07 3.44
26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663120735e+02 1.667782104e+02 1.0e-07 3.76
27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663452984e+02 1.667647111e+02 9.2e-08 4.08
28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663750771e+02 1.667524591e+02 8.3e-08 4.21
29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664018174e+02 1.667413883e+02 7.4e-08 4.25
30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664258233e+02 1.667313782e+02 6.7e-08 4.48
31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664473771e+02 1.667223290e+02 6.0e-08 4.64
32 1.0e-04 4.2e-02 6.5e-03 1.00e+00 1.664667304e+02 1.667141488e+02 5.4e-08 4.74
33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664841088e+02 1.667067546e+02 4.9e-08 4.88
34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664997146e+02 1.667000713e+02 4.4e-08 5.08
35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665137292e+02 1.666940306e+02 4.0e-08 5.14
36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665263154e+02 1.666885711e+02 3.6e-08 5.35
37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665376193e+02 1.666836371e+02 3.2e-08 5.48
38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665477720e+02 1.666791783e+02 2.9e-08 5.50
39 5.0e-05 2.4e-02 3.1e-03 1.00e+00 1.665568911e+02 1.666751491e+02 2.6e-08 5.53
40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665650823e+02 1.666715085e+02 2.3e-08 5.56
41 4.0e-05 2.1e-02 2.5e-03 1.00e+00 1.665724404e+02 1.666682192e+02 2.1e-08 5.60
42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665790504e+02 1.666652477e+02 1.9e-08 5.68
43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665849888e+02 1.666625636e+02 1.7e-08 6.24
44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665903240e+02 1.666601392e+02 1.5e-08 7.20
45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665951177e+02 1.666579497e+02 1.4e-08 7.41
46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665994250e+02 1.666559726e+02 1.2e-08 8.03
47 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.666032956e+02 1.666541875e+02 1.1e-08 8.63
48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666067738e+02 1.666525759e+02 1.0e-08 8.98
49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666098998e+02 1.666511212e+02 9.1e-09 9.43
50 1.6e-05 1.3e-02 9.8e-04 1.00e+00 1.666127093e+02 1.666498082e+02 8.2e-09 10.08
51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666152346e+02 1.666486234e+02 7.4e-09 10.11
52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666175045e+02 1.666475542e+02 6.6e-09 10.16
53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666195449e+02 1.666465897e+02 6.0e-09 10.69
54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666213793e+02 1.666457195e+02 5.4e-09 11.23
55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666230284e+02 1.666449347e+02 4.8e-09 11.84
56 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.666245111e+02 1.666442268e+02 4.3e-09 12.11
57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666258442e+02 1.666435883e+02 3.9e-09 12.76
58 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.666270428e+02 1.666430126e+02 3.5e-09 13.08
59 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.666281206e+02 1.666424935e+02 3.2e-09 13.17
60 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.666290898e+02 1.666420255e+02 2.9e-09 13.74
61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299613e+02 1.666416035e+02 2.6e-09 13.89
62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666307450e+02 1.666412230e+02 2.3e-09 14.42
63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314497e+02 1.666408800e+02 2.1e-09 14.73
64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320833e+02 1.666405707e+02 1.9e-09 15.49
65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326531e+02 1.666402918e+02 1.7e-09 15.65
66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331655e+02 1.666400403e+02 1.5e-09 15.93
67 2.6e-06 9.0e-03 1.6e-04 1.00e+00 1.666336262e+02 1.666398137e+02 1.4e-09 16.65
68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340406e+02 1.666396094e+02 1.2e-09 16.80
69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666344133e+02 1.666394252e+02 1.1e-09 16.86
70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347486e+02 1.666392593e+02 1.0e-09 16.90
71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350501e+02 1.666391098e+02 9.0e-10 16.93
72 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.666353213e+02 1.666389750e+02 8.1e-10 16.95
73 1.4e-06 8.5e-03 8.7e-05 1.00e+00 1.666355652e+02 1.666388536e+02 7.3e-10 17.20
74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357847e+02 1.666387442e+02 6.5e-10 17.32
75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359820e+02 1.666386456e+02 5.9e-10 17.79
76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361595e+02 1.666385568e+02 5.3e-10 18.07
77 9.1e-07 8.3e-03 5.7e-05 1.00e+00 1.666363191e+02 1.666384767e+02 4.8e-10 18.52
78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364627e+02 1.666384046e+02 4.3e-10 19.03
79 7.3e-07 8.3e-03 4.6e-05 1.00e+00 1.666365918e+02 1.666383395e+02 3.9e-10 19.12
80 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.666367079e+02 1.666382808e+02 3.5e-10 19.21
81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368124e+02 1.666382280e+02 3.1e-10 19.69
82 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.666369063e+02 1.666381803e+02 2.8e-10 19.97
83 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.666369907e+02 1.666381373e+02 2.5e-10 19.98
84 4.3e-07 8.1e-03 2.7e-05 1.00e+00 1.666370666e+02 1.666380986e+02 2.3e-10 19.98
85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371349e+02 1.666380636e+02 2.0e-10 19.99
86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371963e+02 1.666380322e+02 1.8e-10 20.00
87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372515e+02 1.666380038e+02 1.7e-10 20.10
88 2.8e-07 8.0e-03 1.8e-05 1.00e+00 1.666373012e+02 1.666379782e+02 1.5e-10 20.11
89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373458e+02 1.666379552e+02 1.3e-10 20.12
90 2.3e-07 8.0e-03 1.5e-05 9.99e-01 1.666373860e+02 1.666379344e+02 1.2e-10 20.13
91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374222e+02 1.666379157e+02 1.1e-10 20.14
92 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.666374547e+02 1.666378989e+02 9.8e-11 20.15
93 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.666374840e+02 1.666378837e+02 8.8e-11 20.16
94 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.666375103e+02 1.666378701e+02 7.9e-11 20.18
95 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.666375340e+02 1.666378578e+02 7.1e-11 20.19
96 1.2e-07 7.9e-03 7.7e-06 1.00e+00 1.666375553e+02 1.666378467e+02 6.4e-11 20.20
97 1.1e-07 7.1e-03 7.0e-06 1.00e+00 1.666375747e+02 1.666378366e+02 5.8e-11 20.78
98 9.9e-08 6.4e-03 6.3e-06 9.99e-01 1.666375919e+02 1.666378277e+02 5.2e-11 20.80
99 8.9e-08 5.7e-03 5.6e-06 1.00e+00 1.666376074e+02 1.666378196e+02 4.7e-11 20.81
100 8.0e-08 5.2e-03 5.1e-06 1.00e+00 1.666376214e+02 1.666378123e+02 4.2e-11 20.82
101 7.2e-08 4.6e-03 4.6e-06 9.98e-01 1.666376340e+02 1.666378058e+02 3.8e-11 20.83
102 6.5e-08 4.2e-03 4.1e-06 9.95e-01 1.666376453e+02 1.666378000e+02 3.4e-11 20.84
103 5.9e-08 3.8e-03 3.7e-06 1.00e+00 1.666376554e+02 1.666377947e+02 3.1e-11 21.36
104 5.3e-08 3.4e-03 3.3e-06 9.98e-01 1.666376646e+02 1.666377899e+02 2.8e-11 21.62
105 4.7e-08 3.0e-03 3.0e-06 9.93e-01 1.666376728e+02 1.666377856e+02 2.5e-11 21.99
106 4.3e-08 2.7e-03 2.7e-06 1.00e+00 1.666376803e+02 1.666377817e+02 2.2e-11 22.76
107 3.8e-08 2.5e-03 2.4e-06 9.99e-01 1.666376870e+02 1.666377783e+02 2.0e-11 23.03
108 3.5e-08 2.2e-03 2.2e-06 9.83e-01 1.666376930e+02 1.666377752e+02 1.8e-11 23.57
109 3.1e-08 2.0e-03 2.0e-06 1.00e+00 1.666376984e+02 1.666377724e+02 1.6e-11 23.59
110 2.8e-08 1.8e-03 1.8e-06 9.89e-01 1.666377032e+02 1.666377699e+02 1.5e-11 23.69
111 2.5e-08 1.6e-03 1.6e-06 9.89e-01 1.666377076e+02 1.666377676e+02 1.3e-11 24.68
112 2.3e-08 1.5e-03 1.4e-06 1.01e+00 1.666377116e+02 1.666377655e+02 1.2e-11 24.86
113 2.0e-08 1.3e-03 1.3e-06 1.01e+00 1.666377153e+02 1.666377635e+02 1.1e-11 25.38
114 1.8e-08 1.2e-03 1.2e-06 9.88e-01 1.666377185e+02 1.666377619e+02 9.8e-12 25.87
115 1.7e-08 1.1e-03 1.0e-06 1.00e+00 1.666377214e+02 1.666377604e+02 8.8e-12 25.89
116 1.5e-08 9.5e-04 9.4e-07 1.00e+00 1.666377239e+02 1.666377590e+02 7.9e-12 25.91
117 1.3e-08 8.6e-04 8.5e-07 1.01e+00 1.666377263e+02 1.666377578e+02 7.1e-12 26.41
118 1.2e-08 7.7e-04 7.6e-07 1.02e+00 1.666377285e+02 1.666377566e+02 6.5e-12 27.00
119 1.1e-08 7.0e-04 6.9e-07 9.68e-01 1.666377303e+02 1.666377557e+02 5.8e-12 27.67
120 9.8e-09 6.3e-04 6.2e-07 1.01e+00 1.666377321e+02 1.666377548e+02 5.3e-12 28.12
121 8.8e-09 5.6e-04 5.6e-07 1.08e+00 1.666377342e+02 1.666377536e+02 4.9e-12 28.15
122 8.0e-09 5.1e-04 5.0e-07 9.89e-01 1.666377354e+02 1.666377530e+02 4.4e-12 28.46
123 7.2e-09 4.6e-04 4.5e-07 1.02e+00 1.666377367e+02 1.666377523e+02 4.0e-12 28.69
124 6.5e-09 4.1e-04 4.1e-07 9.78e-01 1.666377377e+02 1.666377518e+02 3.6e-12 29.25
125 5.9e-09 3.7e-04 3.6e-07 1.08e+00 1.666377390e+02 1.666377511e+02 3.4e-12 29.97
126 5.3e-09 3.3e-04 3.3e-07 9.86e-01 1.666377398e+02 1.666377507e+02 3.1e-12 30.23
127 4.8e-09 3.0e-04 3.0e-07 9.81e-01 1.666377405e+02 1.666377503e+02 2.8e-12 30.29
128 4.3e-09 2.7e-04 2.7e-07 1.02e+00 1.666377412e+02 1.666377499e+02 2.5e-12 31.08
129 3.8e-09 1.5e-05 1.5e-08 9.20e-01 1.666377468e+02 1.666377473e+02 2.3e-13 31.86
Interior-point optimizer terminated. Time: 31.86.
Optimizer terminated. Time: 31.87
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774679e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6663774731e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 31.9 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 : 0.08 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 -1.281947619e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260529456e+05 3.567038683e+00 4.8e-01 0.59
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.199178164e+05 1.011823449e+01 1.9e-01 1.19
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.152760522e+05 6.284874643e+01 1.3e-01 1.35
4 2.9e+02 3.7e+02 1.6e+04 -7.60e-01 -1.125798304e+05 2.338618759e+03 1.3e-01 1.61
5 7.3e+01 9.3e+01 4.0e+03 -7.53e-01 -7.321575602e+04 1.002871928e+04 3.2e-02 2.20
6 3.6e+01 4.5e+01 2.0e+03 -1.76e-01 -4.601689251e+04 1.018884376e+04 1.6e-02 2.23
7 2.1e+01 2.6e+01 1.1e+03 2.94e-01 -3.047978778e+04 6.899549124e+03 9.1e-03 2.26
8 1.2e+01 1.5e+01 6.7e+02 5.72e-01 -1.903301823e+04 4.475402015e+03 5.3e-03 2.63
9 4.6e+00 5.9e+00 2.6e+02 7.59e-01 -7.495636309e+03 2.146505194e+03 2.0e-03 2.76
10 2.2e+00 2.8e+00 1.2e+02 9.29e-01 -3.353646334e+03 1.377851105e+03 9.8e-04 2.89
11 1.5e+00 1.9e+00 8.2e+01 9.79e-01 -2.210978559e+03 9.609868719e+02 6.6e-04 3.69
12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.225035375e+03 6.312886270e+02 3.8e-04 4.02
13 7.4e-01 9.9e-01 4.1e+01 9.55e-01 -1.062787046e+03 5.628135960e+02 3.3e-04 4.23
14 5.5e-01 7.4e-01 3.1e+01 9.88e-01 -7.429105746e+02 4.752640602e+02 2.5e-04 4.47
15 1.7e-01 2.5e-01 9.5e+00 9.91e-01 -1.280755482e+02 2.450100575e+02 7.7e-05 5.47
16 9.6e-02 1.6e-01 5.5e+00 1.01e+00 -7.995781364e+00 2.069290218e+02 4.5e-05 5.56
17 9.5e-02 1.5e-01 5.5e+00 1.02e+00 -6.436224775e+00 2.070556438e+02 4.4e-05 5.68
18 8.6e-02 1.4e-01 4.9e+00 1.02e+00 1.598118411e+01 2.078544256e+02 4.0e-05 5.79
19 4.9e-02 8.5e-02 2.8e+00 1.02e+00 8.164126624e+01 1.897431169e+02 2.3e-05 6.50
20 1.7e-02 8.6e-02 9.9e-01 1.02e+00 1.374440197e+02 1.752958461e+02 8.0e-06 6.63
21 4.6e-03 2.2e-01 2.7e-01 1.01e+00 1.589784776e+02 1.693718123e+02 2.2e-06 6.70
22 3.2e-03 2.5e-01 1.9e-01 1.00e+00 1.612451824e+02 1.684218667e+02 1.5e-06 6.72
23 1.2e-03 1.4e-01 7.1e-02 1.00e+00 1.645949446e+02 1.672907122e+02 5.7e-07 6.77
24 9.0e-04 1.1e-01 5.4e-02 9.93e-01 1.650503670e+02 1.671104665e+02 4.4e-07 6.79
25 3.7e-04 8.4e-02 2.3e-02 9.83e-01 1.659093328e+02 1.667859866e+02 1.9e-07 7.53
26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661934527e+02 1.666724334e+02 1.0e-07 7.93
27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662782819e+02 1.666425435e+02 7.9e-08 8.05
28 1.4e-04 5.9e-02 8.6e-03 1.01e+00 1.663052044e+02 1.666328580e+02 7.1e-08 8.16
29 1.3e-04 5.3e-02 7.8e-03 1.01e+00 1.663279856e+02 1.666228061e+02 6.4e-08 8.40
30 1.1e-04 4.9e-02 7.0e-03 1.01e+00 1.663486757e+02 1.666139645e+02 5.8e-08 8.89
31 1.0e-04 4.5e-02 6.3e-03 1.01e+00 1.663672034e+02 1.666059229e+02 5.2e-08 8.95
32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663838363e+02 1.665986511e+02 4.7e-08 9.00
33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663987618e+02 1.665920687e+02 4.2e-08 9.02
34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664121577e+02 1.665861130e+02 3.8e-08 9.04
35 6.7e-05 3.2e-02 4.1e-03 1.00e+00 1.664241820e+02 1.665807250e+02 3.4e-08 9.06
36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349764e+02 1.665758519e+02 3.1e-08 9.34
37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446678e+02 1.665714454e+02 2.8e-08 10.04
38 4.9e-05 2.5e-02 3.0e-03 1.00e+00 1.664533698e+02 1.665674615e+02 2.5e-08 10.31
39 4.4e-05 2.3e-02 2.7e-03 1.00e+00 1.664611843e+02 1.665638605e+02 2.2e-08 10.36
40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664682025e+02 1.665606062e+02 2.0e-08 10.48
41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664745061e+02 1.665576657e+02 1.8e-08 10.69
42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801685e+02 1.665550093e+02 1.6e-08 11.22
43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852553e+02 1.665526099e+02 1.5e-08 11.26
44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664898255e+02 1.665504432e+02 1.3e-08 11.29
45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939320e+02 1.665484868e+02 1.2e-08 11.33
46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664976222e+02 1.665467207e+02 1.1e-08 11.62
47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009386e+02 1.665451267e+02 9.6e-09 12.05
48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039194e+02 1.665436883e+02 8.7e-09 12.77
49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065988e+02 1.665423907e+02 7.8e-09 13.14
50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665090076e+02 1.665412202e+02 7.0e-09 13.35
51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111732e+02 1.665401646e+02 6.3e-09 13.40
52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131206e+02 1.665392129e+02 5.7e-09 13.42
53 1.0e-05 1.1e-02 6.2e-04 1.00e+00 1.665148718e+02 1.665383550e+02 5.1e-09 13.45
54 9.0e-06 1.1e-02 5.6e-04 1.00e+00 1.665164466e+02 1.665375817e+02 4.6e-09 13.48
55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178631e+02 1.665368848e+02 4.1e-09 13.49
56 7.3e-06 1.0e-02 4.5e-04 1.00e+00 1.665191371e+02 1.665362568e+02 3.7e-09 13.52
57 6.6e-06 1.0e-02 4.1e-04 1.00e+00 1.665202831e+02 1.665356909e+02 3.4e-09 13.53
58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213140e+02 1.665351811e+02 3.0e-09 14.14
59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222413e+02 1.665347218e+02 2.7e-09 14.26
60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230754e+02 1.665343081e+02 2.5e-09 14.39
61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238258e+02 1.665339352e+02 2.2e-09 14.78
62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665245007e+02 1.665335993e+02 2.0e-09 15.06
63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251078e+02 1.665332966e+02 1.8e-09 15.53
64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256538e+02 1.665330238e+02 1.6e-09 15.77
65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261449e+02 1.665327780e+02 1.4e-09 15.79
66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265867e+02 1.665325565e+02 1.3e-09 15.81
67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269840e+02 1.665323570e+02 1.2e-09 16.16
68 2.1e-06 8.7e-03 1.3e-04 1.00e+00 1.665273415e+02 1.665321772e+02 1.1e-09 16.44
69 1.9e-06 8.6e-03 1.2e-04 1.00e+00 1.665276631e+02 1.665320153e+02 9.5e-10 16.56
70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279525e+02 1.665318695e+02 8.6e-10 16.94
71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282127e+02 1.665317381e+02 7.7e-10 17.55
72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284469e+02 1.665316198e+02 6.9e-10 17.68
73 1.2e-06 8.4e-03 7.6e-05 1.00e+00 1.665286575e+02 1.665315132e+02 6.2e-10 17.81
74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288470e+02 1.665314171e+02 5.6e-10 17.93
75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290175e+02 1.665313306e+02 5.1e-10 17.95
76 8.9e-07 8.3e-03 5.5e-05 1.00e+00 1.665291708e+02 1.665312526e+02 4.5e-10 17.98
77 8.0e-07 8.3e-03 5.0e-05 1.00e+00 1.665293087e+02 1.665311824e+02 4.1e-10 18.00
78 7.2e-07 8.2e-03 4.5e-05 1.00e+00 1.665294327e+02 1.665311191e+02 3.7e-10 18.04
79 6.5e-07 8.2e-03 4.0e-05 1.00e+00 1.665295443e+02 1.665310621e+02 3.3e-10 18.81
80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296446e+02 1.665310106e+02 3.0e-10 18.97
81 5.2e-07 8.1e-03 3.3e-05 1.00e+00 1.665297349e+02 1.665309643e+02 2.7e-10 19.34
82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298160e+02 1.665309225e+02 2.4e-10 19.70
83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298890e+02 1.665308848e+02 2.2e-10 19.81
84 3.8e-07 8.1e-03 2.4e-05 9.99e-01 1.665299546e+02 1.665308509e+02 2.0e-10 20.05
85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300136e+02 1.665308203e+02 1.8e-10 20.28
86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300666e+02 1.665307927e+02 1.6e-10 20.30
87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301144e+02 1.665307677e+02 1.4e-10 20.32
88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301573e+02 1.665307453e+02 1.3e-10 20.34
89 2.3e-07 8.0e-03 1.4e-05 1.00e+00 1.665301959e+02 1.665307251e+02 1.2e-10 20.85
90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302307e+02 1.665307069e+02 1.0e-10 21.27
91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302619e+02 1.665306906e+02 9.4e-11 21.61
92 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.665302901e+02 1.665306758e+02 8.4e-11 22.05
93 1.5e-07 7.9e-03 9.2e-06 9.99e-01 1.665303154e+02 1.665306625e+02 7.6e-11 22.21
94 1.3e-07 7.9e-03 8.3e-06 1.00e+00 1.665303381e+02 1.665306506e+02 6.8e-11 22.35
95 1.2e-07 7.1e-03 7.4e-06 1.01e+00 1.665303588e+02 1.665306396e+02 6.1e-11 22.51
96 1.1e-07 6.4e-03 6.7e-06 1.00e+00 1.665303772e+02 1.665306299e+02 5.5e-11 22.55
97 9.7e-08 5.7e-03 6.0e-06 1.00e+00 1.665303939e+02 1.665306211e+02 5.0e-11 22.57
98 8.7e-08 5.2e-03 5.4e-06 1.00e+00 1.665304089e+02 1.665306133e+02 4.5e-11 23.37
99 7.8e-08 4.6e-03 4.9e-06 1.00e+00 1.665304223e+02 1.665306062e+02 4.0e-11 23.93
100 7.1e-08 4.2e-03 4.4e-06 9.98e-01 1.665304343e+02 1.665305999e+02 3.6e-11 24.14
101 6.4e-08 3.8e-03 4.0e-06 1.00e+00 1.665304452e+02 1.665305941e+02 3.3e-11 24.72
102 5.7e-08 3.4e-03 3.6e-06 1.00e+00 1.665304550e+02 1.665305890e+02 2.9e-11 24.77
103 5.1e-08 3.0e-03 3.2e-06 9.98e-01 1.665304637e+02 1.665305844e+02 2.7e-11 24.79
104 4.6e-08 2.7e-03 2.9e-06 9.94e-01 1.665304716e+02 1.665305803e+02 2.4e-11 25.31
105 4.2e-08 2.5e-03 2.6e-06 1.00e+00 1.665304787e+02 1.665305765e+02 2.1e-11 25.65
106 3.8e-08 2.2e-03 2.3e-06 1.01e+00 1.665304853e+02 1.665305730e+02 1.9e-11 26.13
107 3.4e-08 2.0e-03 2.1e-06 9.87e-01 1.665304910e+02 1.665305701e+02 1.7e-11 26.19
108 3.0e-08 1.8e-03 1.9e-06 1.01e+00 1.665304965e+02 1.665305672e+02 1.6e-11 26.80
109 2.7e-08 1.6e-03 1.7e-06 9.93e-01 1.665305011e+02 1.665305647e+02 1.4e-11 27.01
110 2.5e-08 1.5e-03 1.5e-06 9.95e-01 1.665305052e+02 1.665305626e+02 1.3e-11 27.11
111 2.2e-08 1.3e-03 1.4e-06 9.85e-01 1.665305090e+02 1.665305606e+02 1.1e-11 27.78
112 2.0e-08 1.2e-03 1.2e-06 9.86e-01 1.665305124e+02 1.665305589e+02 1.0e-11 27.95
113 1.8e-08 1.1e-03 1.1e-06 9.91e-01 1.665305154e+02 1.665305573e+02 9.3e-12 28.30
114 1.6e-08 9.6e-04 1.0e-06 9.57e-01 1.665305181e+02 1.665305559e+02 8.4e-12 28.70
115 1.5e-08 8.6e-04 9.0e-07 1.00e+00 1.665305206e+02 1.665305546e+02 7.5e-12 29.18
116 1.3e-08 7.7e-04 8.1e-07 1.04e+00 1.665305232e+02 1.665305531e+02 6.9e-12 29.26
117 1.2e-08 7.0e-04 7.3e-07 1.00e+00 1.665305252e+02 1.665305521e+02 6.2e-12 29.35
118 1.1e-08 6.3e-04 6.6e-07 1.01e+00 1.665305270e+02 1.665305511e+02 5.6e-12 30.02
119 9.6e-09 5.6e-04 5.9e-07 1.04e+00 1.665305288e+02 1.665305501e+02 5.2e-12 30.34
120 8.6e-09 5.1e-04 5.3e-07 9.64e-01 1.665305302e+02 1.665305494e+02 4.6e-12 30.69
121 7.7e-09 4.6e-04 4.8e-07 1.05e+00 1.665305317e+02 1.665305486e+02 4.3e-12 31.10
122 7.0e-09 4.1e-04 4.3e-07 9.74e-01 1.665305328e+02 1.665305480e+02 3.8e-12 31.86
123 6.3e-09 3.7e-04 3.9e-07 1.04e+00 1.665305340e+02 1.665305474e+02 3.5e-12 32.34
124 5.7e-09 3.3e-04 3.5e-07 9.28e-01 1.665305349e+02 1.665305470e+02 3.2e-12 32.72
125 5.2e-09 3.0e-04 3.2e-07 1.00e+00 1.665305356e+02 1.665305465e+02 2.9e-12 33.00
126 4.7e-09 2.7e-04 2.8e-07 1.14e+00 1.665305368e+02 1.665305458e+02 2.8e-12 33.63
127 1.6e-09 1.6e-05 1.7e-08 9.01e-01 1.665305426e+02 1.665305431e+02 2.8e-13 33.78
Interior-point optimizer terminated. Time: 33.78.
Optimizer terminated. Time: 33.79
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054258e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6653054313e+02 Viol. con: 0e+00 var: 9e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 33.8 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: 0.01
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 : 0.02 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 -1.281910007e+05 2.000000000e+00 1.0e+00 0.03
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260388211e+05 3.562416878e+00 4.8e-01 0.66
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.198568685e+05 1.018649402e+01 1.9e-01 0.99
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.151988238e+05 6.373047177e+01 1.2e-01 1.25
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125292472e+05 2.317564591e+03 1.2e-01 1.46
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.413280377e+04 9.821159618e+03 3.3e-02 1.49
6 3.3e+01 4.2e+01 1.8e+03 -1.90e-01 -4.310923955e+04 1.040983033e+04 1.4e-02 1.93
7 1.9e+01 2.4e+01 1.1e+03 3.45e-01 -2.829946314e+04 6.951569420e+03 8.4e-03 2.39
8 1.1e+01 1.4e+01 6.2e+02 6.09e-01 -1.786043126e+04 4.385657060e+03 5.0e-03 2.75
9 4.5e+00 5.7e+00 2.5e+02 7.77e-01 -7.289191921e+03 2.109108625e+03 2.0e-03 3.03
10 2.1e+00 2.6e+00 1.1e+02 9.30e-01 -3.104831001e+03 1.310263294e+03 9.1e-04 3.25
11 1.3e+00 1.6e+00 7.1e+01 9.82e-01 -1.894495039e+03 8.669865363e+02 5.7e-04 3.65
12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.138773205e+03 6.058225128e+02 3.6e-04 3.67
13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.085972854e+02 4.782431014e+02 2.6e-04 3.70
14 4.0e-01 5.3e-01 2.2e+01 9.98e-01 -4.785714241e+02 3.978163613e+02 1.8e-04 3.72
15 1.7e-01 2.4e-01 9.9e+00 9.93e-01 -1.310504646e+02 2.549827206e+02 7.9e-05 3.74
16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.036022507e+01 2.048600165e+02 4.0e-05 3.79
17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.259402589e+01 2.038110040e+02 3.6e-05 4.17
18 3.1e-02 7.3e-02 1.8e+00 1.02e+00 1.135865965e+02 1.813719726e+02 1.4e-05 4.41
19 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.524144819e+02 1.713318896e+02 4.0e-06 4.72
20 2.5e-03 1.5e-01 1.5e-01 1.00e+00 1.621495549e+02 1.679102246e+02 1.2e-06 5.27
21 1.5e-03 1.1e-01 9.0e-02 1.00e+00 1.639366446e+02 1.673929009e+02 7.3e-07 5.44
22 4.7e-04 1.1e-01 2.9e-02 1.01e+00 1.656859482e+02 1.667891425e+02 2.4e-07 5.78
23 1.5e-04 1.1e-01 9.6e-03 1.01e+00 1.662183113e+02 1.665842703e+02 8.1e-08 5.94
24 1.4e-04 1.0e-01 8.7e-03 1.01e+00 1.662462830e+02 1.665754936e+02 7.3e-08 6.07
25 6.3e-05 8.6e-02 4.0e-03 1.01e+00 1.663693221e+02 1.665220898e+02 3.4e-08 6.60
26 5.7e-05 7.8e-02 3.6e-03 1.01e+00 1.663810875e+02 1.665186082e+02 3.1e-08 6.61
27 5.1e-05 7.1e-02 3.3e-03 1.01e+00 1.663905883e+02 1.665143086e+02 2.8e-08 6.62
28 4.6e-05 6.4e-02 2.9e-03 1.01e+00 1.663992484e+02 1.665105665e+02 2.5e-08 6.64
29 4.1e-05 5.9e-02 2.7e-03 1.01e+00 1.664070014e+02 1.665071613e+02 2.2e-08 6.65
30 3.7e-05 5.4e-02 2.4e-03 1.01e+00 1.664139650e+02 1.665040875e+02 2.0e-08 6.66
31 3.3e-05 4.9e-02 2.1e-03 1.01e+00 1.664202168e+02 1.665013094e+02 1.8e-08 6.72
32 3.0e-05 4.5e-02 1.9e-03 1.01e+00 1.664258309e+02 1.664987999e+02 1.6e-08 6.73
33 2.7e-05 4.1e-02 1.7e-03 1.01e+00 1.664308728e+02 1.664965332e+02 1.5e-08 6.74
34 2.4e-05 3.8e-02 1.6e-03 1.00e+00 1.664354015e+02 1.664944863e+02 1.3e-08 6.75
35 2.2e-05 3.5e-02 1.4e-03 1.00e+00 1.664394695e+02 1.664926382e+02 1.2e-08 6.76
36 2.0e-05 3.2e-02 1.3e-03 1.00e+00 1.664431243e+02 1.664909698e+02 1.1e-08 6.77
37 1.8e-05 3.0e-02 1.1e-03 1.00e+00 1.664464081e+02 1.664894640e+02 9.6e-09 6.78
38 1.6e-05 2.8e-02 1.0e-03 1.00e+00 1.664493590e+02 1.664881052e+02 8.7e-09 6.79
39 1.4e-05 2.6e-02 9.2e-04 1.00e+00 1.664520109e+02 1.664868792e+02 7.8e-09 6.80
40 1.3e-05 2.4e-02 8.3e-04 1.00e+00 1.664543944e+02 1.664857733e+02 7.0e-09 6.82
41 1.2e-05 2.2e-02 7.5e-04 1.00e+00 1.664565369e+02 1.664847758e+02 6.3e-09 6.84
42 1.0e-05 2.1e-02 6.7e-04 1.00e+00 1.664584630e+02 1.664838763e+02 5.7e-09 6.85
43 9.4e-06 1.9e-02 6.1e-04 1.00e+00 1.664601946e+02 1.664830653e+02 5.1e-09 6.86
44 8.5e-06 1.8e-02 5.5e-04 1.00e+00 1.664617516e+02 1.664823341e+02 4.6e-09 6.87
45 7.7e-06 1.7e-02 4.9e-04 1.00e+00 1.664631517e+02 1.664816751e+02 4.1e-09 6.88
46 6.9e-06 1.6e-02 4.4e-04 1.00e+00 1.664644109e+02 1.664810813e+02 3.7e-09 6.90
47 6.2e-06 1.5e-02 4.0e-04 1.00e+00 1.664655433e+02 1.664805461e+02 3.4e-09 6.91
48 5.6e-06 1.5e-02 3.6e-04 1.00e+00 1.664665618e+02 1.664800640e+02 3.0e-09 6.92
49 5.0e-06 1.4e-02 3.2e-04 1.00e+00 1.664674780e+02 1.664796297e+02 2.7e-09 6.93
50 4.5e-06 1.3e-02 2.9e-04 1.00e+00 1.664683021e+02 1.664792384e+02 2.4e-09 6.94
51 4.1e-06 1.3e-02 2.6e-04 1.00e+00 1.664690435e+02 1.664788859e+02 2.2e-09 6.95
52 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.664697104e+02 1.664785684e+02 2.0e-09 6.96
53 3.3e-06 1.2e-02 2.1e-04 1.00e+00 1.664703103e+02 1.664782824e+02 1.8e-09 6.97
54 3.0e-06 1.1e-02 1.9e-04 1.00e+00 1.664708499e+02 1.664780248e+02 1.6e-09 7.55
55 2.7e-06 1.1e-02 1.7e-04 1.00e+00 1.664713354e+02 1.664777928e+02 1.4e-09 7.94
56 2.4e-06 1.1e-02 1.5e-04 1.00e+00 1.664717723e+02 1.664775838e+02 1.3e-09 8.06
57 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.664721653e+02 1.664773957e+02 1.2e-09 8.11
58 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664725190e+02 1.664772264e+02 1.1e-09 8.17
59 1.8e-06 9.9e-03 1.1e-04 1.00e+00 1.664728373e+02 1.664770739e+02 9.5e-10 8.20
60 1.6e-06 9.6e-03 1.0e-04 1.00e+00 1.664731238e+02 1.664769367e+02 8.5e-10 8.27
61 1.4e-06 9.4e-03 9.1e-05 1.00e+00 1.664733816e+02 1.664768132e+02 7.7e-10 8.33
62 1.3e-06 9.3e-03 8.2e-05 1.00e+00 1.664736135e+02 1.664767020e+02 6.9e-10 8.57
63 1.1e-06 9.1e-03 7.4e-05 1.00e+00 1.664738223e+02 1.664766019e+02 6.2e-10 8.59
64 1.0e-06 9.0e-03 6.6e-05 1.00e+00 1.664740102e+02 1.664765119e+02 5.6e-10 8.60
65 9.3e-07 8.8e-03 6.0e-05 1.00e+00 1.664741792e+02 1.664764308e+02 5.0e-10 8.61
66 8.4e-07 8.7e-03 5.4e-05 1.00e+00 1.664743314e+02 1.664763578e+02 4.5e-10 8.62
67 7.5e-07 8.6e-03 4.8e-05 1.00e+00 1.664744683e+02 1.664762920e+02 4.1e-10 8.63
68 6.8e-07 8.5e-03 4.4e-05 1.00e+00 1.664745914e+02 1.664762328e+02 3.7e-10 8.64
69 6.1e-07 8.4e-03 3.9e-05 1.00e+00 1.664747022e+02 1.664761795e+02 3.3e-10 8.65
70 5.5e-07 8.3e-03 3.5e-05 1.00e+00 1.664748019e+02 1.664761315e+02 3.0e-10 8.66
71 4.9e-07 8.3e-03 3.2e-05 1.00e+00 1.664748916e+02 1.664760883e+02 2.7e-10 8.67
72 4.4e-07 8.2e-03 2.9e-05 1.00e+00 1.664749723e+02 1.664760493e+02 2.4e-10 8.69
73 4.0e-07 8.1e-03 2.6e-05 1.00e+00 1.664750449e+02 1.664760141e+02 2.2e-10 8.70
74 3.6e-07 8.1e-03 2.3e-05 1.00e+00 1.664751102e+02 1.664759825e+02 2.0e-10 8.71
75 3.2e-07 8.0e-03 2.1e-05 1.00e+00 1.664751689e+02 1.664759540e+02 1.8e-10 8.72
76 2.9e-07 8.0e-03 1.9e-05 1.00e+00 1.664752217e+02 1.664759283e+02 1.6e-10 8.72
77 2.6e-07 7.9e-03 1.7e-05 1.00e+00 1.664752693e+02 1.664759051e+02 1.4e-10 8.73
78 2.4e-07 7.9e-03 1.5e-05 1.00e+00 1.664753120e+02 1.664758843e+02 1.3e-10 8.74
79 2.1e-07 7.9e-03 1.4e-05 1.00e+00 1.664753505e+02 1.664758656e+02 1.2e-10 8.75
80 1.9e-07 7.8e-03 1.2e-05 9.99e-01 1.664753851e+02 1.664758487e+02 1.0e-10 8.76
81 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664754163e+02 1.664758335e+02 9.4e-11 8.78
82 1.6e-07 7.8e-03 1.0e-05 1.00e+00 1.664754443e+02 1.664758197e+02 8.4e-11 8.79
83 1.4e-07 7.8e-03 9.0e-06 1.00e+00 1.664754695e+02 1.664758074e+02 7.6e-11 8.80
84 1.3e-07 7.7e-03 8.1e-06 1.00e+00 1.664754922e+02 1.664757963e+02 6.8e-11 8.81
85 1.1e-07 7.7e-03 7.3e-06 9.99e-01 1.664755126e+02 1.664757863e+02 6.1e-11 8.82
86 1.0e-07 6.9e-03 6.5e-06 1.01e+00 1.664755313e+02 1.664757771e+02 5.5e-11 8.83
87 9.2e-08 6.2e-03 5.9e-06 1.00e+00 1.664755479e+02 1.664757690e+02 5.0e-11 8.85
88 8.2e-08 5.6e-03 5.3e-06 9.90e-01 1.664755627e+02 1.664757619e+02 4.5e-11 8.87
89 7.4e-08 5.1e-03 4.8e-06 9.97e-01 1.664755760e+02 1.664757553e+02 4.0e-11 8.88
90 6.7e-08 4.6e-03 4.3e-06 9.96e-01 1.664755881e+02 1.664757495e+02 3.6e-11 8.89
91 6.0e-08 4.1e-03 3.9e-06 1.00e+00 1.664755989e+02 1.664757441e+02 3.3e-11 8.90
92 5.4e-08 3.7e-03 3.5e-06 1.01e+00 1.664756089e+02 1.664757392e+02 2.9e-11 8.91
93 4.9e-08 3.3e-03 3.1e-06 9.96e-01 1.664756177e+02 1.664757349e+02 2.7e-11 8.92
94 4.4e-08 3.0e-03 2.8e-06 9.95e-01 1.664756255e+02 1.664757311e+02 2.4e-11 8.93
95 3.9e-08 2.7e-03 2.5e-06 1.01e+00 1.664756329e+02 1.664757274e+02 2.2e-11 8.94
96 3.6e-08 2.4e-03 2.3e-06 9.91e-01 1.664756392e+02 1.664757244e+02 1.9e-11 8.95
97 3.2e-08 2.2e-03 2.1e-06 1.01e+00 1.664756450e+02 1.664757215e+02 1.8e-11 8.96
98 2.9e-08 2.0e-03 1.8e-06 9.98e-01 1.664756502e+02 1.664757190e+02 1.6e-11 8.97
99 2.6e-08 1.8e-03 1.7e-06 1.00e+00 1.664756548e+02 1.664757167e+02 1.4e-11 8.98
100 2.3e-08 1.6e-03 1.5e-06 1.01e+00 1.664756592e+02 1.664757145e+02 1.3e-11 8.99
101 2.1e-08 1.4e-03 1.3e-06 9.99e-01 1.664756629e+02 1.664757127e+02 1.2e-11 9.00
102 1.9e-08 1.3e-03 1.2e-06 9.91e-01 1.664756662e+02 1.664757111e+02 1.0e-11 9.01
103 1.7e-08 1.2e-03 1.1e-06 1.02e+00 1.664756695e+02 1.664757094e+02 9.5e-12 9.02
104 1.5e-08 1.0e-03 9.8e-07 1.01e+00 1.664756722e+02 1.664757081e+02 8.5e-12 9.03
105 1.4e-08 9.4e-04 8.8e-07 9.87e-01 1.664756746e+02 1.664757069e+02 7.7e-12 9.04
106 1.2e-08 8.4e-04 8.0e-07 9.85e-01 1.664756768e+02 1.664757059e+02 6.9e-12 9.05
107 1.1e-08 7.6e-04 7.2e-07 1.01e+00 1.664756788e+02 1.664757049e+02 6.2e-12 9.06
108 1.0e-08 6.8e-04 6.4e-07 9.60e-01 1.664756806e+02 1.664757041e+02 5.6e-12 9.08
109 9.0e-09 6.2e-04 5.8e-07 9.59e-01 1.664756821e+02 1.664757033e+02 5.1e-12 9.09
110 1.9e-09 6.3e-05 5.9e-08 9.94e-01 1.664756949e+02 1.664756971e+02 5.3e-13 9.10
Interior-point optimizer terminated. Time: 9.10.
Optimizer terminated. Time: 9.11
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569489e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6647569707e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 9.13 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 -1.281197861e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259650266e+05 3.561094595e+00 4.8e-01 0.52
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197555734e+05 1.021867852e+01 1.8e-01 0.83
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150858097e+05 6.418745742e+01 1.2e-01 0.99
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124325304e+05 2.305448640e+03 1.2e-01 1.22
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.428051130e+04 9.756408512e+03 3.3e-02 1.50
6 3.0e+01 3.9e+01 1.7e+03 -1.93e-01 -4.041126879e+04 1.037587345e+04 1.3e-02 1.51
7 1.8e+01 2.3e+01 1.0e+03 3.93e-01 -2.698444924e+04 6.759315220e+03 8.0e-03 1.53
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.558012478e+04 3.925144852e+03 4.3e-03 1.56
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.376458243e+03 1.908099888e+03 1.7e-03 1.58
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.267487402e+03 1.216178251e+03 9.3e-04 1.61
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.522034966e+03 7.367062845e+02 4.7e-04 2.00
12 8.0e-01 1.0e+00 4.5e+01 9.79e-01 -1.157067404e+03 5.992708001e+02 3.6e-04 2.12
13 4.7e-01 6.2e-01 2.6e+01 9.74e-01 -6.218964667e+02 4.222794728e+02 2.1e-04 2.24
14 2.3e-01 9.4e-01 1.3e+01 1.00e+00 -2.250415306e+02 2.955373931e+02 1.1e-04 2.75
15 1.1e-01 4.3e-01 6.1e+00 1.00e+00 -2.238086528e+01 2.143325250e+02 4.9e-05 2.81
16 8.0e-02 3.2e-01 4.6e+00 1.01e+00 2.956744069e+01 2.065242746e+02 3.7e-05 2.90
17 4.4e-02 1.9e-01 2.5e+00 1.02e+00 8.946121709e+01 1.875897805e+02 2.1e-05 3.10
18 1.2e-02 1.6e-01 7.0e-01 1.02e+00 1.463882984e+02 1.733396443e+02 5.7e-06 3.29
19 3.5e-03 1.8e-01 2.1e-01 1.01e+00 1.605148645e+02 1.684778550e+02 1.7e-06 3.42
20 2.0e-03 1.1e-01 1.2e-01 1.01e+00 1.630965986e+02 1.676296030e+02 9.7e-07 3.66
21 6.2e-04 1.3e-01 3.8e-02 1.01e+00 1.654049139e+02 1.668595878e+02 3.1e-07 3.84
22 4.6e-04 1.1e-01 2.9e-02 9.96e-01 1.656724620e+02 1.667523914e+02 2.4e-07 4.24
23 2.4e-04 7.7e-02 1.5e-02 9.84e-01 1.660387491e+02 1.666105649e+02 1.2e-07 4.31
24 2.0e-04 6.4e-02 1.2e-02 1.00e+00 1.661168119e+02 1.665843115e+02 1.0e-07 4.53
25 1.8e-04 5.9e-02 1.1e-02 1.01e+00 1.661509727e+02 1.665714922e+02 9.2e-08 4.70
26 1.6e-04 5.4e-02 1.0e-02 1.01e+00 1.661806528e+02 1.665590005e+02 8.3e-08 4.88
27 1.4e-04 4.9e-02 9.0e-03 1.01e+00 1.662074956e+02 1.665479298e+02 7.5e-08 5.41
28 1.3e-04 4.5e-02 8.1e-03 1.01e+00 1.662315408e+02 1.665378667e+02 6.7e-08 5.54
29 1.2e-04 4.1e-02 7.3e-03 1.01e+00 1.662531222e+02 1.665287626e+02 6.0e-08 5.78
30 1.1e-04 3.8e-02 6.6e-03 1.01e+00 1.662724877e+02 1.665205210e+02 5.4e-08 5.95
31 9.5e-05 3.5e-02 5.9e-03 1.01e+00 1.662898667e+02 1.665130616e+02 4.9e-08 5.97
32 8.5e-05 3.2e-02 5.3e-03 1.01e+00 1.663054632e+02 1.665063102e+02 4.4e-08 5.98
33 7.7e-05 3.0e-02 4.8e-03 1.00e+00 1.663194607e+02 1.665001999e+02 4.0e-08 6.01
34 6.9e-05 2.7e-02 4.3e-03 1.00e+00 1.663320235e+02 1.664946703e+02 3.6e-08 6.13
35 6.2e-05 2.6e-02 3.9e-03 1.00e+00 1.663432996e+02 1.664896668e+02 3.2e-08 6.45
36 5.6e-05 2.4e-02 3.5e-03 1.00e+00 1.663534214e+02 1.664851399e+02 2.9e-08 6.67
37 5.0e-05 2.2e-02 3.1e-03 1.00e+00 1.663625081e+02 1.664810452e+02 2.6e-08 7.17
38 4.5e-05 2.1e-02 2.8e-03 1.00e+00 1.663706662e+02 1.664773421e+02 2.3e-08 7.34
39 4.1e-05 1.9e-02 2.5e-03 1.00e+00 1.663779916e+02 1.664739938e+02 2.1e-08 7.55
40 3.7e-05 1.8e-02 2.3e-03 1.00e+00 1.663845699e+02 1.664709671e+02 1.9e-08 8.03
41 3.3e-05 1.7e-02 2.1e-03 1.00e+00 1.663904777e+02 1.664682315e+02 1.7e-08 8.20
42 3.0e-05 1.6e-02 1.9e-03 1.00e+00 1.663957840e+02 1.664657594e+02 1.5e-08 8.24
43 2.7e-05 1.5e-02 1.7e-03 1.00e+00 1.664005503e+02 1.664635260e+02 1.4e-08 8.26
44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664048319e+02 1.664615083e+02 1.2e-08 8.63
45 2.2e-05 1.4e-02 1.4e-03 1.00e+00 1.664086784e+02 1.664596858e+02 1.1e-08 8.87
46 2.0e-05 1.3e-02 1.2e-03 1.00e+00 1.664121342e+02 1.664580399e+02 1.0e-08 9.29
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664152392e+02 1.664565535e+02 9.1e-09 9.85
48 1.6e-05 1.2e-02 9.9e-04 1.00e+00 1.664180292e+02 1.664552116e+02 8.2e-09 10.34
49 1.4e-05 1.2e-02 8.9e-04 1.00e+00 1.664205363e+02 1.664540001e+02 7.4e-09 10.57
50 1.3e-05 1.1e-02 8.0e-04 1.00e+00 1.664227894e+02 1.664529065e+02 6.6e-09 10.60
51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664248143e+02 1.664519195e+02 6.0e-09 10.62
52 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.664266342e+02 1.664510288e+02 5.4e-09 11.30
53 9.3e-06 1.1e-02 5.8e-04 1.00e+00 1.664282701e+02 1.664502251e+02 4.8e-09 11.61
54 8.4e-06 1.0e-02 5.2e-04 1.00e+00 1.664297406e+02 1.664495001e+02 4.4e-09 11.67
55 7.6e-06 1.0e-02 4.7e-04 1.00e+00 1.664310625e+02 1.664488461e+02 3.9e-09 11.78
56 6.8e-06 9.8e-03 4.2e-04 1.00e+00 1.664322509e+02 1.664482562e+02 3.5e-09 11.90
57 6.1e-06 9.6e-03 3.8e-04 1.00e+00 1.664333194e+02 1.664477243e+02 3.2e-09 12.53
58 5.5e-06 9.5e-03 3.4e-04 1.00e+00 1.664342802e+02 1.664472446e+02 2.9e-09 12.66
59 5.0e-06 9.3e-03 3.1e-04 1.00e+00 1.664351440e+02 1.664468120e+02 2.6e-09 12.75
60 4.5e-06 9.2e-03 2.8e-04 1.00e+00 1.664359207e+02 1.664464220e+02 2.3e-09 12.85
61 4.0e-06 9.0e-03 2.5e-04 1.00e+00 1.664366192e+02 1.664460704e+02 2.1e-09 13.45
62 3.6e-06 8.9e-03 2.3e-04 1.00e+00 1.664372472e+02 1.664457533e+02 1.9e-09 14.07
63 3.3e-06 8.8e-03 2.0e-04 1.00e+00 1.664378119e+02 1.664454675e+02 1.7e-09 14.30
64 2.9e-06 8.7e-03 1.8e-04 1.00e+00 1.664383198e+02 1.664452099e+02 1.5e-09 14.66
65 2.6e-06 8.6e-03 1.6e-04 1.00e+00 1.664387765e+02 1.664449777e+02 1.4e-09 14.99
66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664391873e+02 1.664447684e+02 1.2e-09 15.04
67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664395568e+02 1.664445799e+02 1.1e-09 15.09
68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664398892e+02 1.664444101e+02 1.0e-09 15.10
69 1.7e-06 8.3e-03 1.1e-04 1.00e+00 1.664401883e+02 1.664442571e+02 9.0e-10 15.77
70 1.6e-06 8.3e-03 9.7e-05 1.00e+00 1.664404573e+02 1.664441192e+02 8.1e-10 16.22
71 1.4e-06 8.2e-03 8.7e-05 1.00e+00 1.664406994e+02 1.664439951e+02 7.3e-10 17.04
72 1.3e-06 8.2e-03 7.9e-05 1.00e+00 1.664409171e+02 1.664438833e+02 6.5e-10 17.20
73 1.1e-06 8.1e-03 7.1e-05 1.00e+00 1.664411130e+02 1.664437826e+02 5.9e-10 17.27
74 1.0e-06 8.1e-03 6.4e-05 1.00e+00 1.664412893e+02 1.664436919e+02 5.3e-10 17.30
75 9.2e-07 8.0e-03 5.7e-05 1.00e+00 1.664414478e+02 1.664436102e+02 4.8e-10 17.34
76 8.3e-07 8.0e-03 5.2e-05 1.00e+00 1.664415905e+02 1.664435366e+02 4.3e-10 17.36
77 7.4e-07 8.0e-03 4.6e-05 1.00e+00 1.664417188e+02 1.664434704e+02 3.9e-10 17.97
78 6.7e-07 7.9e-03 4.2e-05 1.00e+00 1.664418343e+02 1.664434107e+02 3.5e-10 18.10
79 6.0e-07 7.9e-03 3.8e-05 1.00e+00 1.664419381e+02 1.664433569e+02 3.1e-10 19.02
80 5.4e-07 7.9e-03 3.4e-05 1.00e+00 1.664420315e+02 1.664433084e+02 2.8e-10 19.33
81 4.9e-07 7.8e-03 3.0e-05 1.00e+00 1.664421156e+02 1.664432648e+02 2.5e-10 19.55
82 4.4e-07 7.8e-03 2.7e-05 1.00e+00 1.664421912e+02 1.664432255e+02 2.3e-10 19.59
83 4.0e-07 7.8e-03 2.5e-05 1.00e+00 1.664422592e+02 1.664431901e+02 2.1e-10 20.39
84 3.6e-07 7.8e-03 2.2e-05 1.00e+00 1.664423204e+02 1.664431582e+02 1.8e-10 20.51
85 3.2e-07 7.7e-03 2.0e-05 1.00e+00 1.664423754e+02 1.664431294e+02 1.7e-10 20.63
86 2.9e-07 7.7e-03 1.8e-05 9.99e-01 1.664424250e+02 1.664431036e+02 1.5e-10 21.29
87 2.6e-07 7.7e-03 1.6e-05 1.00e+00 1.664424696e+02 1.664430803e+02 1.3e-10 21.49
88 2.3e-07 7.7e-03 1.5e-05 1.00e+00 1.664425097e+02 1.664430593e+02 1.2e-10 21.60
89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664425458e+02 1.664430405e+02 1.1e-10 21.65
90 1.9e-07 7.6e-03 1.2e-05 9.98e-01 1.664425783e+02 1.664430235e+02 9.8e-11 21.81
91 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.664426075e+02 1.664430082e+02 8.8e-11 22.78
92 1.5e-07 7.6e-03 9.6e-06 1.00e+00 1.664426338e+02 1.664429945e+02 8.0e-11 23.16
93 1.4e-07 7.6e-03 8.6e-06 1.00e+00 1.664426575e+02 1.664429821e+02 7.2e-11 23.28
94 1.2e-07 7.6e-03 7.8e-06 9.98e-01 1.664426788e+02 1.664429710e+02 6.4e-11 23.81
95 1.1e-07 7.6e-03 7.0e-06 1.00e+00 1.664426980e+02 1.664429610e+02 5.8e-11 24.03
96 1.0e-07 7.6e-03 6.3e-06 1.00e+00 1.664427153e+02 1.664429519e+02 5.2e-11 24.04
97 9.1e-08 7.6e-03 5.7e-06 1.00e+00 1.664427309e+02 1.664429438e+02 4.7e-11 24.06
98 8.1e-08 6.8e-03 5.1e-06 1.01e+00 1.664427450e+02 1.664429364e+02 4.2e-11 24.07
99 7.3e-08 6.1e-03 4.6e-06 9.93e-01 1.664427576e+02 1.664429299e+02 3.8e-11 24.08
100 6.6e-08 5.5e-03 4.1e-06 9.91e-01 1.664427689e+02 1.664429240e+02 3.4e-11 24.09
101 5.9e-08 5.0e-03 3.7e-06 9.95e-01 1.664427791e+02 1.664429187e+02 3.1e-11 24.11
102 5.3e-08 4.5e-03 3.3e-06 1.00e+00 1.664427883e+02 1.664429139e+02 2.8e-11 24.12
103 4.8e-08 4.0e-03 3.0e-06 9.91e-01 1.664427965e+02 1.664429096e+02 2.5e-11 24.13
104 4.3e-08 3.6e-03 2.7e-06 1.01e+00 1.664428042e+02 1.664429056e+02 2.3e-11 24.14
105 3.9e-08 3.3e-03 2.4e-06 9.88e-01 1.664428108e+02 1.664429021e+02 2.0e-11 24.16
106 3.5e-08 2.9e-03 2.2e-06 9.84e-01 1.664428168e+02 1.664428990e+02 1.8e-11 24.17
107 3.2e-08 2.6e-03 2.0e-06 1.01e+00 1.664428223e+02 1.664428962e+02 1.6e-11 24.18
108 2.8e-08 2.4e-03 1.8e-06 1.02e+00 1.664428275e+02 1.664428934e+02 1.5e-11 24.19
109 2.6e-08 2.1e-03 1.6e-06 1.02e+00 1.664428321e+02 1.664428909e+02 1.4e-11 24.20
110 2.3e-08 1.9e-03 1.4e-06 1.02e+00 1.664428364e+02 1.664428887e+02 1.2e-11 24.21
111 2.1e-08 1.7e-03 1.3e-06 1.01e+00 1.664428399e+02 1.664428868e+02 1.1e-11 24.22
112 1.9e-08 1.6e-03 1.2e-06 1.00e+00 1.664428430e+02 1.664428852e+02 1.0e-11 24.23
113 1.7e-08 1.4e-03 1.0e-06 1.04e+00 1.664428462e+02 1.664428835e+02 9.2e-12 24.24
114 1.5e-08 1.3e-03 9.4e-07 1.07e+00 1.664428495e+02 1.664428817e+02 8.5e-12 24.25
115 1.4e-08 1.1e-03 8.5e-07 9.94e-01 1.664428516e+02 1.664428806e+02 7.7e-12 24.26
116 1.2e-08 1.0e-03 7.6e-07 1.03e+00 1.664428538e+02 1.664428795e+02 7.0e-12 24.27
117 1.1e-08 9.2e-04 6.9e-07 1.06e+00 1.664428560e+02 1.664428783e+02 6.5e-12 24.28
118 1.0e-08 8.3e-04 6.2e-07 1.01e+00 1.664428575e+02 1.664428775e+02 5.9e-12 24.29
119 9.2e-09 7.4e-04 5.6e-07 1.24e+00 1.664428588e+02 1.664428770e+02 5.3e-12 24.30
120 8.7e-09 6.7e-04 5.0e-07 1.28e+00 1.664428600e+02 1.664428762e+02 4.8e-12 24.31
121 7.6e-09 6.0e-04 4.5e-07 1.25e+00 1.664428612e+02 1.664428755e+02 4.3e-12 24.32
122 7.3e-09 5.4e-04 4.1e-07 8.47e-01 1.664428620e+02 1.664428753e+02 3.9e-12 24.33
123 8.4e-09 4.9e-04 3.7e-07 1.06e+00 1.664428631e+02 1.664428747e+02 3.6e-12 24.34
124 7.3e-09 4.4e-04 3.3e-07 8.34e-01 1.664428639e+02 1.664428743e+02 3.2e-12 24.35
125 1.3e-08 4.0e-04 3.0e-07 1.21e+00 1.664428652e+02 1.664428734e+02 3.2e-12 24.36
126 1.6e-08 3.6e-04 2.7e-07 1.57e+00 1.664428656e+02 1.664428736e+02 2.9e-12 24.37
127 1.7e-08 3.2e-04 2.4e-07 9.60e-01 1.664428661e+02 1.664428733e+02 2.6e-12 24.38
128 1.5e-08 2.9e-04 2.2e-07 9.57e-01 1.664428665e+02 1.664428730e+02 2.3e-12 24.40
129 1.9e-08 2.6e-04 2.0e-07 2.97e+00 1.664428668e+02 1.664428734e+02 2.1e-12 24.41
130 9.9e-09 2.4e-04 1.8e-07 3.95e+00 1.664428673e+02 1.664428725e+02 1.8e-12 24.42
131 9.8e-09 2.1e-04 1.6e-07 7.66e-01 1.664428676e+02 1.664428724e+02 1.6e-12 24.44
132 9.1e-09 1.9e-04 1.4e-07 7.93e-01 1.664428679e+02 1.664428723e+02 1.5e-12 24.45
133 8.5e-09 1.7e-04 1.3e-07 7.30e-01 1.664428682e+02 1.664428721e+02 1.3e-12 24.46
134 9.8e-09 1.5e-04 1.2e-07 6.74e-01 1.664428684e+02 1.664428720e+02 1.2e-12 24.47
135 9.1e-09 1.4e-04 1.0e-07 2.16e+00 1.664428687e+02 1.664428719e+02 1.1e-12 24.48
136 8.8e-09 1.3e-04 9.4e-08 3.75e-01 1.664428689e+02 1.664428719e+02 9.6e-13 24.49
Interior-point optimizer terminated. Time: 24.49.
Optimizer terminated. Time: 24.50
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286886e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287189e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 24.5 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 : 0.02 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 -1.281180388e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259625301e+05 3.560276621e+00 4.8e-01 0.31
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197267098e+05 1.024016329e+01 1.8e-01 0.32
3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150518107e+05 6.456752098e+01 1.2e-01 0.33
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.124052011e+05 2.300158951e+03 1.2e-01 0.34
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.417783340e+04 9.757678097e+03 3.3e-02 0.35
6 3.0e+01 3.8e+01 1.7e+03 -1.91e-01 -4.024534039e+04 1.031407906e+04 1.3e-02 1.06
7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.697135761e+04 6.727017094e+03 7.9e-03 1.10
8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.531807685e+04 3.871914165e+03 4.2e-03 1.12
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.875053416e+03 1.809580197e+03 1.6e-03 1.15
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.096649989e+03 1.203043932e+03 8.9e-04 1.17
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.219597480e+03 6.194922891e+02 3.8e-04 1.20
12 8.2e-01 1.1e+00 4.6e+01 9.52e-01 -1.202439751e+03 5.954657708e+02 3.7e-04 1.22
13 5.1e-01 6.6e-01 2.9e+01 9.70e-01 -7.004877262e+02 4.298276931e+02 2.3e-04 1.25
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.460643809e+02 3.419708118e+02 1.4e-04 1.69
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.601424153e+01 2.150264644e+02 5.0e-05 2.29
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.213583802e+01 2.053676144e+02 3.8e-05 2.34
17 4.1e-02 8.5e-02 2.3e+00 1.02e+00 9.691039355e+01 1.867799810e+02 1.9e-05 2.59
18 1.4e-02 8.5e-02 8.0e-01 1.02e+00 1.432895147e+02 1.740783889e+02 6.5e-06 2.81
19 5.8e-03 7.4e-02 3.4e-01 1.01e+00 1.564985615e+02 1.694317884e+02 2.7e-06 3.06
20 1.5e-03 1.5e-01 9.0e-02 1.01e+00 1.639323540e+02 1.673713207e+02 7.3e-07 3.38
21 7.1e-04 1.0e-01 4.4e-02 9.87e-01 1.652262667e+02 1.668859560e+02 3.6e-07 3.48
22 2.3e-04 1.1e-01 1.4e-02 9.99e-01 1.660353487e+02 1.665837195e+02 1.2e-07 3.75
23 1.1e-04 8.6e-02 6.9e-03 1.01e+00 1.662379314e+02 1.665007231e+02 5.8e-08 4.08
24 5.3e-05 7.5e-02 3.4e-03 1.01e+00 1.663316571e+02 1.664611548e+02 2.9e-08 4.32
25 4.8e-05 6.8e-02 3.1e-03 1.01e+00 1.663421718e+02 1.664587927e+02 2.6e-08 4.37
26 4.3e-05 6.2e-02 2.8e-03 1.01e+00 1.663501882e+02 1.664551079e+02 2.3e-08 4.71
27 3.9e-05 5.7e-02 2.5e-03 1.01e+00 1.663575022e+02 1.664519077e+02 2.1e-08 4.89
28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663640444e+02 1.664489896e+02 1.9e-08 5.08
29 3.1e-05 4.7e-02 2.0e-03 1.01e+00 1.663699219e+02 1.664463567e+02 1.7e-08 5.14
30 2.8e-05 4.4e-02 1.8e-03 1.01e+00 1.663751999e+02 1.664439781e+02 1.5e-08 5.24
31 2.5e-05 4.0e-02 1.6e-03 1.00e+00 1.663799405e+02 1.664418303e+02 1.4e-08 5.36
32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663841987e+02 1.664398909e+02 1.2e-08 5.77
33 2.1e-05 3.4e-02 1.3e-03 1.00e+00 1.663880241e+02 1.664381400e+02 1.1e-08 6.23
34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663914607e+02 1.664365594e+02 1.0e-08 6.49
35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663945485e+02 1.664351327e+02 9.1e-09 6.94
36 1.5e-05 2.7e-02 9.7e-04 1.00e+00 1.663973230e+02 1.664338450e+02 8.2e-09 7.38
37 1.3e-05 2.5e-02 8.7e-04 1.00e+00 1.663998162e+02 1.664326830e+02 7.4e-09 7.50
38 1.2e-05 2.3e-02 7.9e-04 1.00e+00 1.664020567e+02 1.664316345e+02 6.6e-09 7.74
39 1.1e-05 2.2e-02 7.1e-04 1.00e+00 1.664040704e+02 1.664306884e+02 6.0e-09 7.85
40 9.8e-06 2.0e-02 6.4e-04 1.00e+00 1.664058803e+02 1.664298350e+02 5.4e-09 7.93
41 8.9e-06 1.9e-02 5.7e-04 1.00e+00 1.664075072e+02 1.664290651e+02 4.8e-09 8.32
42 8.0e-06 1.8e-02 5.2e-04 1.00e+00 1.664089697e+02 1.664283708e+02 4.3e-09 8.42
43 7.2e-06 1.7e-02 4.6e-04 1.00e+00 1.664102845e+02 1.664277447e+02 3.9e-09 8.74
44 6.5e-06 1.6e-02 4.2e-04 1.00e+00 1.664114665e+02 1.664271801e+02 3.5e-09 8.92
45 5.8e-06 1.5e-02 3.8e-04 1.00e+00 1.664125293e+02 1.664266711e+02 3.2e-09 9.64
46 5.2e-06 1.5e-02 3.4e-04 1.00e+00 1.664134850e+02 1.664262122e+02 2.9e-09 10.01
47 4.7e-06 1.4e-02 3.0e-04 1.00e+00 1.664143443e+02 1.664257985e+02 2.6e-09 10.15
48 4.2e-06 1.3e-02 2.7e-04 1.00e+00 1.664151171e+02 1.664254255e+02 2.3e-09 10.17
49 3.8e-06 1.3e-02 2.5e-04 1.00e+00 1.664158119e+02 1.664250894e+02 2.1e-09 10.19
50 3.4e-06 1.2e-02 2.2e-04 1.00e+00 1.664164368e+02 1.664247864e+02 1.9e-09 10.69
51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664169987e+02 1.664245133e+02 1.7e-09 11.47
52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664175041e+02 1.664242671e+02 1.5e-09 11.60
53 2.5e-06 1.1e-02 1.6e-04 1.00e+00 1.664179587e+02 1.664240453e+02 1.4e-09 11.65
54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664183675e+02 1.664238455e+02 1.2e-09 11.79
55 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664187353e+02 1.664236656e+02 1.1e-09 12.03
56 1.8e-06 1.0e-02 1.2e-04 1.00e+00 1.664190662e+02 1.664235034e+02 1.0e-09 12.15
57 1.6e-06 1.0e-02 1.1e-04 1.00e+00 1.664193639e+02 1.664233574e+02 9.0e-10 12.87
58 1.5e-06 9.8e-03 9.6e-05 1.00e+00 1.664196318e+02 1.664232258e+02 8.1e-10 13.51
59 1.3e-06 9.6e-03 8.6e-05 1.00e+00 1.664198727e+02 1.664231074e+02 7.3e-10 13.98
60 1.2e-06 9.4e-03 7.8e-05 1.00e+00 1.664200895e+02 1.664230007e+02 6.5e-10 14.34
61 1.1e-06 9.3e-03 7.0e-05 1.00e+00 1.664202846e+02 1.664229047e+02 5.9e-10 14.70
62 9.7e-07 9.1e-03 6.3e-05 1.00e+00 1.664204601e+02 1.664228182e+02 5.3e-10 14.74
63 8.7e-07 9.0e-03 5.7e-05 1.00e+00 1.664206179e+02 1.664227402e+02 4.8e-10 14.76
64 7.8e-07 8.9e-03 5.1e-05 1.00e+00 1.664207600e+02 1.664226701e+02 4.3e-10 14.79
65 7.1e-07 8.8e-03 4.6e-05 1.00e+00 1.664208878e+02 1.664226068e+02 3.9e-10 15.13
66 6.4e-07 8.7e-03 4.1e-05 1.00e+00 1.664210027e+02 1.664225498e+02 3.5e-10 15.26
67 5.7e-07 8.6e-03 3.7e-05 1.00e+00 1.664211061e+02 1.664224985e+02 3.1e-10 16.00
68 5.1e-07 8.5e-03 3.3e-05 1.00e+00 1.664211992e+02 1.664224523e+02 2.8e-10 16.13
69 4.6e-07 8.4e-03 3.0e-05 1.00e+00 1.664212828e+02 1.664224106e+02 2.5e-10 16.90
70 4.2e-07 8.3e-03 2.7e-05 1.00e+00 1.664213581e+02 1.664223731e+02 2.3e-10 16.90
71 3.8e-07 8.3e-03 2.4e-05 1.00e+00 1.664214258e+02 1.664223393e+02 2.1e-10 16.95
72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214867e+02 1.664223089e+02 1.8e-10 16.98
73 3.0e-07 8.2e-03 2.0e-05 1.00e+00 1.664215415e+02 1.664222815e+02 1.7e-10 17.01
74 2.7e-07 8.1e-03 1.8e-05 1.00e+00 1.664215908e+02 1.664222568e+02 1.5e-10 17.04
75 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664216352e+02 1.664222345e+02 1.3e-10 17.79
76 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664216751e+02 1.664222145e+02 1.2e-10 18.35
77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217110e+02 1.664221965e+02 1.1e-10 18.58
78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217434e+02 1.664221803e+02 9.8e-11 19.15
79 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664217725e+02 1.664221656e+02 8.8e-11 19.23
80 1.5e-07 7.9e-03 9.4e-06 9.99e-01 1.664217986e+02 1.664221525e+02 7.9e-11 20.14
81 1.3e-07 7.8e-03 8.5e-06 9.99e-01 1.664218222e+02 1.664221407e+02 7.2e-11 20.57
82 1.2e-07 7.8e-03 7.6e-06 9.95e-01 1.664218434e+02 1.664221301e+02 6.4e-11 20.81
83 1.1e-07 7.8e-03 6.9e-06 9.98e-01 1.664218624e+02 1.664221205e+02 5.8e-11 21.19
84 9.5e-08 7.8e-03 6.2e-06 1.00e+00 1.664218796e+02 1.664221119e+02 5.2e-11 21.52
85 8.6e-08 7.7e-03 5.6e-06 9.97e-01 1.664218951e+02 1.664221041e+02 4.7e-11 21.57
86 7.7e-08 7.7e-03 5.0e-06 9.96e-01 1.664219090e+02 1.664220972e+02 4.2e-11 22.07
87 7.0e-08 7.7e-03 4.5e-06 1.00e+00 1.664219215e+02 1.664220908e+02 3.8e-11 22.08
88 6.3e-08 7.7e-03 4.1e-06 1.00e+00 1.664219327e+02 1.664220852e+02 3.4e-11 22.09
89 5.6e-08 7.7e-03 3.7e-06 1.00e+00 1.664219429e+02 1.664220800e+02 3.1e-11 22.71
90 5.1e-08 7.7e-03 3.3e-06 1.00e+00 1.664219521e+02 1.664220754e+02 2.8e-11 23.11
91 4.6e-08 6.9e-03 3.0e-06 1.01e+00 1.664219606e+02 1.664220711e+02 2.5e-11 23.45
92 4.1e-08 6.2e-03 2.7e-06 9.91e-01 1.664219679e+02 1.664220674e+02 2.3e-11 23.67
93 3.7e-08 5.6e-03 2.4e-06 9.97e-01 1.664219745e+02 1.664220641e+02 2.0e-11 23.70
94 3.3e-08 5.0e-03 2.2e-06 9.95e-01 1.664219805e+02 1.664220611e+02 1.8e-11 23.73
95 3.0e-08 4.5e-03 1.9e-06 1.01e+00 1.664219861e+02 1.664220583e+02 1.7e-11 23.78
96 2.7e-08 4.1e-03 1.7e-06 1.01e+00 1.664219910e+02 1.664220558e+02 1.5e-11 24.21
97 2.4e-08 3.7e-03 1.6e-06 1.00e+00 1.664219953e+02 1.664220536e+02 1.3e-11 24.59
98 2.2e-08 3.3e-03 1.4e-06 1.02e+00 1.664219994e+02 1.664220515e+02 1.2e-11 24.88
99 2.0e-08 3.0e-03 1.3e-06 9.61e-01 1.664220029e+02 1.664220498e+02 1.1e-11 25.07
100 1.8e-08 2.7e-03 1.1e-06 1.01e+00 1.664220060e+02 1.664220482e+02 9.9e-12 25.23
101 1.6e-08 2.4e-03 1.0e-06 9.61e-01 1.664220088e+02 1.664220469e+02 8.9e-12 25.34
102 1.4e-08 2.2e-03 9.3e-07 9.87e-01 1.664220114e+02 1.664220456e+02 8.0e-12 25.47
103 1.3e-08 1.9e-03 8.4e-07 1.03e+00 1.664220139e+02 1.664220442e+02 7.3e-12 25.94
104 1.2e-08 1.8e-03 7.5e-07 9.93e-01 1.664220160e+02 1.664220432e+02 6.6e-12 26.00
105 1.0e-08 1.6e-03 6.8e-07 9.90e-01 1.664220178e+02 1.664220423e+02 5.9e-12 26.05
106 9.4e-09 1.4e-03 6.1e-07 9.93e-01 1.664220194e+02 1.664220415e+02 5.3e-12 26.53
107 8.5e-09 1.3e-03 5.5e-07 9.77e-01 1.664220209e+02 1.664220408e+02 4.8e-12 26.73
108 7.6e-09 1.1e-03 4.9e-07 1.04e+00 1.664220224e+02 1.664220399e+02 4.4e-12 26.90
109 6.9e-09 1.0e-03 4.4e-07 1.03e+00 1.664220238e+02 1.664220393e+02 4.0e-12 27.40
110 6.2e-09 9.3e-04 4.0e-07 1.03e+00 1.664220249e+02 1.664220386e+02 3.7e-12 27.51
111 5.6e-09 8.4e-04 3.6e-07 8.87e-01 1.664220258e+02 1.664220382e+02 3.3e-12 27.62
112 5.0e-09 7.5e-04 3.2e-07 9.22e-01 1.664220266e+02 1.664220379e+02 3.0e-12 28.21
113 4.5e-09 6.8e-04 2.9e-07 1.04e+00 1.664220275e+02 1.664220374e+02 2.7e-12 28.23
114 4.1e-09 6.1e-04 2.6e-07 1.06e+00 1.664220283e+02 1.664220370e+02 2.5e-12 28.25
115 3.3e-09 3.7e-05 1.6e-08 8.72e-01 1.664220339e+02 1.664220345e+02 2.9e-13 28.28
Interior-point optimizer terminated. Time: 28.29.
Optimizer terminated. Time: 28.30
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203391e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6642203447e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 28.3 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 : 0.03 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 -1.281171695e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259614430e+05 3.560065206e+00 4.8e-01 0.55
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197068298e+05 1.025351924e+01 1.8e-01 0.92
3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150279777e+05 6.481754703e+01 1.2e-01 1.53
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.123832082e+05 2.298634229e+03 1.2e-01 1.59
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.396346376e+04 9.786614373e+03 3.3e-02 2.04
6 3.0e+01 3.8e+01 1.7e+03 -1.88e-01 -4.013432547e+04 1.027693506e+04 1.3e-02 2.16
7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.696800233e+04 6.723014961e+03 7.9e-03 2.27
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.520122634e+04 3.849446118e+03 4.2e-03 2.43
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.269744344e+03 1.687245421e+03 1.4e-03 3.09
10 1.6e+00 2.0e+00 8.6e+01 9.55e-01 -2.308432397e+03 1.041884080e+03 6.9e-04 3.21
11 1.0e+00 1.3e+00 5.8e+01 9.87e-01 -1.504108207e+03 7.650690861e+02 4.7e-04 3.33
12 8.8e-01 1.1e+00 4.9e+01 9.72e-01 -1.271651169e+03 6.591062021e+02 3.9e-04 3.44
13 4.6e-01 6.0e-01 2.6e+01 9.79e-01 -6.086015890e+02 4.195795687e+02 2.1e-04 3.56
14 2.4e-01 4.1e-01 1.4e+01 1.00e+00 -2.357843598e+02 2.978045897e+02 1.1e-04 3.67
15 9.5e-02 1.8e-01 5.4e+00 1.00e+00 -4.403634809e+00 2.074370293e+02 4.4e-05 4.31
16 8.8e-02 1.6e-01 5.0e+00 1.02e+00 1.377441096e+01 2.095617441e+02 4.1e-05 4.46
17 6.0e-02 1.1e-01 3.4e+00 1.02e+00 6.129866474e+01 1.956042461e+02 2.8e-05 4.93
18 3.3e-02 7.9e-02 1.9e+00 1.02e+00 1.095585727e+02 1.826764943e+02 1.5e-05 5.05
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.514486258e+02 1.719167896e+02 4.3e-06 5.26
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602344495e+02 1.684276863e+02 1.7e-06 5.44
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642869683e+02 1.671994035e+02 6.3e-07 5.94
22 8.4e-04 1.0e-01 5.1e-02 9.86e-01 1.650114144e+02 1.669392460e+02 4.2e-07 5.95
23 2.5e-04 1.1e-01 1.6e-02 9.88e-01 1.659828360e+02 1.665842179e+02 1.3e-07 6.03
24 9.6e-05 1.0e-01 6.1e-03 1.01e+00 1.662457177e+02 1.664769566e+02 5.2e-08 6.05
25 3.8e-05 9.5e-02 2.4e-03 1.01e+00 1.663439540e+02 1.664356596e+02 2.1e-08 6.36
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663784189e+02 1.664209241e+02 9.6e-09 6.99
27 1.6e-05 7.4e-02 1.0e-03 1.00e+00 1.663819531e+02 1.664202255e+02 8.7e-09 7.19
28 1.4e-05 6.7e-02 9.2e-04 1.01e+00 1.663845472e+02 1.664189847e+02 7.8e-09 7.25
29 1.3e-05 6.1e-02 8.2e-04 1.00e+00 1.663869256e+02 1.664179139e+02 7.0e-09 7.51
30 1.1e-05 5.6e-02 7.4e-04 1.00e+00 1.663890558e+02 1.664169408e+02 6.3e-09 7.97
31 1.0e-05 5.1e-02 6.7e-04 1.00e+00 1.663909716e+02 1.664160645e+02 5.7e-09 8.13
32 9.2e-06 4.7e-02 6.0e-04 1.00e+00 1.663926935e+02 1.664152741e+02 5.1e-09 8.20
33 8.3e-06 4.3e-02 5.4e-04 1.00e+00 1.663942414e+02 1.664145615e+02 4.6e-09 8.22
34 7.5e-06 3.9e-02 4.9e-04 1.00e+00 1.663956330e+02 1.664139192e+02 4.1e-09 8.24
35 6.7e-06 3.6e-02 4.4e-04 1.00e+00 1.663968842e+02 1.664133401e+02 3.7e-09 8.27
36 6.0e-06 3.3e-02 3.9e-04 1.00e+00 1.663980093e+02 1.664128183e+02 3.4e-09 8.29
37 5.4e-06 3.1e-02 3.5e-04 1.00e+00 1.663990209e+02 1.664123480e+02 3.0e-09 8.31
38 4.9e-06 2.9e-02 3.2e-04 1.00e+00 1.663999307e+02 1.664119241e+02 2.7e-09 8.35
39 4.4e-06 2.6e-02 2.9e-04 1.00e+00 1.664007488e+02 1.664115422e+02 2.4e-09 8.86
40 4.0e-06 2.5e-02 2.6e-04 1.00e+00 1.664014845e+02 1.664111980e+02 2.2e-09 9.09
41 3.6e-06 2.3e-02 2.3e-04 1.00e+00 1.664021462e+02 1.664108878e+02 2.0e-09 9.23
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027412e+02 1.664106083e+02 1.8e-09 9.52
43 2.9e-06 2.0e-02 1.9e-04 1.00e+00 1.664032763e+02 1.664103564e+02 1.6e-09 9.64
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037577e+02 1.664101294e+02 1.4e-09 9.86
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664041906e+02 1.664099251e+02 1.3e-09 10.11
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045801e+02 1.664097410e+02 1.2e-09 10.23
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049306e+02 1.664095752e+02 1.1e-09 10.79
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052458e+02 1.664094259e+02 9.5e-10 11.04
49 1.5e-06 1.4e-02 1.0e-04 1.00e+00 1.664055295e+02 1.664092915e+02 8.5e-10 11.15
50 1.4e-06 1.4e-02 9.0e-05 1.00e+00 1.664057847e+02 1.664091704e+02 7.7e-10 11.75
51 1.2e-06 1.3e-02 8.1e-05 1.00e+00 1.664060143e+02 1.664090614e+02 6.9e-10 11.88
52 1.1e-06 1.2e-02 7.3e-05 1.00e+00 1.664062208e+02 1.664089632e+02 6.2e-10 12.14
53 1.0e-06 1.2e-02 6.6e-05 1.00e+00 1.664064067e+02 1.664088748e+02 5.6e-10 12.93
54 9.1e-07 1.2e-02 5.9e-05 1.00e+00 1.664065739e+02 1.664087952e+02 5.0e-10 13.68
55 8.2e-07 1.1e-02 5.3e-05 1.00e+00 1.664067244e+02 1.664087235e+02 4.5e-10 14.29
56 7.4e-07 1.1e-02 4.8e-05 1.00e+00 1.664068597e+02 1.664086588e+02 4.1e-10 14.63
57 6.6e-07 1.1e-02 4.3e-05 1.00e+00 1.664069815e+02 1.664086007e+02 3.7e-10 15.33
58 6.0e-07 1.0e-02 3.9e-05 1.00e+00 1.664070911e+02 1.664085482e+02 3.3e-10 15.88
59 5.4e-07 1.0e-02 3.5e-05 1.00e+00 1.664071896e+02 1.664085010e+02 3.0e-10 16.23
60 4.8e-07 9.7e-03 3.1e-05 1.00e+00 1.664072782e+02 1.664084585e+02 2.7e-10 16.70
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073579e+02 1.664084202e+02 2.4e-10 16.93
62 3.9e-07 9.3e-03 2.5e-05 1.00e+00 1.664074296e+02 1.664083857e+02 2.2e-10 17.25
63 3.5e-07 9.2e-03 2.3e-05 1.00e+00 1.664074942e+02 1.664083546e+02 2.0e-10 17.34
64 3.2e-07 9.0e-03 2.1e-05 1.00e+00 1.664075522e+02 1.664083266e+02 1.8e-10 17.39
65 2.8e-07 8.9e-03 1.9e-05 1.00e+00 1.664076044e+02 1.664083013e+02 1.6e-10 17.91
66 2.6e-07 8.7e-03 1.7e-05 1.00e+00 1.664076514e+02 1.664082786e+02 1.4e-10 18.31
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076937e+02 1.664082581e+02 1.3e-10 18.44
68 2.1e-07 8.5e-03 1.4e-05 1.00e+00 1.664077317e+02 1.664082397e+02 1.2e-10 18.62
69 1.9e-07 8.5e-03 1.2e-05 1.01e+00 1.664077662e+02 1.664082229e+02 1.0e-10 18.99
70 1.7e-07 8.4e-03 1.1e-05 1.00e+00 1.664077970e+02 1.664082080e+02 9.4e-11 19.27
71 1.5e-07 8.3e-03 9.9e-06 9.99e-01 1.664078247e+02 1.664081946e+02 8.4e-11 19.48
72 1.4e-07 8.2e-03 8.9e-06 1.00e+00 1.664078496e+02 1.664081825e+02 7.6e-11 19.50
73 1.2e-07 8.1e-03 8.0e-06 9.98e-01 1.664078720e+02 1.664081716e+02 6.8e-11 19.51
74 1.1e-07 8.1e-03 7.2e-06 1.00e+00 1.664078922e+02 1.664081618e+02 6.1e-11 19.54
75 9.9e-08 8.0e-03 6.5e-06 1.00e+00 1.664079103e+02 1.664081530e+02 5.5e-11 19.55
76 8.9e-08 8.0e-03 5.8e-06 9.99e-01 1.664079267e+02 1.664081451e+02 5.0e-11 19.57
77 8.0e-08 7.9e-03 5.2e-06 1.00e+00 1.664079414e+02 1.664081379e+02 4.5e-11 19.61
78 7.2e-08 7.9e-03 4.7e-06 9.93e-01 1.664079546e+02 1.664081315e+02 4.0e-11 20.16
79 6.5e-08 7.8e-03 4.3e-06 9.88e-01 1.664079665e+02 1.664081258e+02 3.6e-11 20.83
80 5.9e-08 7.8e-03 3.8e-06 9.97e-01 1.664079772e+02 1.664081206e+02 3.3e-11 20.92
81 5.3e-08 7.7e-03 3.4e-06 9.92e-01 1.664079868e+02 1.664081160e+02 2.9e-11 21.68
82 4.8e-08 7.7e-03 3.1e-06 9.94e-01 1.664079955e+02 1.664081118e+02 2.6e-11 21.73
83 4.3e-08 6.9e-03 2.8e-06 1.01e+00 1.664080035e+02 1.664081078e+02 2.4e-11 21.76
84 3.8e-08 6.2e-03 2.5e-06 1.01e+00 1.664080107e+02 1.664081043e+02 2.2e-11 21.83
85 3.5e-08 5.6e-03 2.3e-06 1.01e+00 1.664080171e+02 1.664081011e+02 1.9e-11 22.41
86 3.1e-08 5.1e-03 2.0e-06 9.99e-01 1.664080228e+02 1.664080984e+02 1.7e-11 23.02
87 2.8e-08 4.6e-03 1.8e-06 9.95e-01 1.664080279e+02 1.664080959e+02 1.6e-11 23.08
88 2.5e-08 4.1e-03 1.6e-06 1.01e+00 1.664080327e+02 1.664080936e+02 1.4e-11 23.31
89 2.3e-08 3.7e-03 1.5e-06 9.71e-01 1.664080367e+02 1.664080916e+02 1.3e-11 23.90
90 2.0e-08 3.3e-03 1.3e-06 9.82e-01 1.664080404e+02 1.664080898e+02 1.2e-11 24.69
91 1.8e-08 3.0e-03 1.2e-06 9.81e-01 1.664080437e+02 1.664080883e+02 1.0e-11 25.31
92 1.7e-08 2.7e-03 1.1e-06 9.66e-01 1.664080467e+02 1.664080868e+02 9.3e-12 25.82
93 1.5e-08 2.4e-03 9.7e-07 1.03e+00 1.664080497e+02 1.664080853e+02 8.5e-12 26.36
94 1.3e-08 2.2e-03 8.8e-07 9.99e-01 1.664080521e+02 1.664080842e+02 7.7e-12 26.43
95 1.2e-08 2.0e-03 7.9e-07 9.78e-01 1.664080542e+02 1.664080831e+02 6.9e-12 26.86
96 1.1e-08 1.8e-03 7.1e-07 1.07e+00 1.664080568e+02 1.664080818e+02 6.4e-12 27.12
97 9.8e-09 1.6e-03 6.4e-07 1.03e+00 1.664080587e+02 1.664080808e+02 5.9e-12 27.24
98 8.8e-09 1.4e-03 5.7e-07 9.17e-01 1.664080602e+02 1.664080801e+02 5.3e-12 27.72
99 8.0e-09 1.3e-03 5.2e-07 1.11e+00 1.664080622e+02 1.664080791e+02 5.0e-12 27.99
100 7.2e-09 1.2e-03 4.7e-07 9.85e-01 1.664080633e+02 1.664080785e+02 4.5e-12 28.50
101 6.5e-09 1.0e-03 4.2e-07 1.04e+00 1.664080645e+02 1.664080779e+02 4.1e-12 28.65
102 6.0e-09 9.4e-04 3.8e-07 1.05e+00 1.664080657e+02 1.664080774e+02 3.8e-12 28.93
103 5.4e-09 8.4e-04 3.4e-07 9.50e-01 1.664080665e+02 1.664080770e+02 3.4e-12 29.38
104 4.8e-09 7.6e-04 3.1e-07 8.28e-01 1.664080671e+02 1.664080767e+02 3.1e-12 29.63
105 4.4e-09 6.8e-04 2.7e-07 9.56e-01 1.664080678e+02 1.664080764e+02 2.8e-12 29.78
106 4.0e-09 6.2e-04 2.5e-07 1.05e+00 1.664080685e+02 1.664080760e+02 2.6e-12 30.50
107 3.8e-09 5.5e-04 2.2e-07 1.16e+00 1.664080694e+02 1.664080756e+02 2.5e-12 30.64
108 3.6e-09 5.0e-04 2.0e-07 9.19e-01 1.664080698e+02 1.664080754e+02 2.3e-12 30.77
109 3.0e-09 4.5e-04 1.8e-07 8.18e-01 1.664080702e+02 1.664080752e+02 2.0e-12 30.79
110 2.7e-09 4.0e-04 1.6e-07 8.41e-01 1.664080705e+02 1.664080751e+02 1.8e-12 30.82
111 2.6e-09 3.6e-04 1.5e-07 8.65e-01 1.664080708e+02 1.664080750e+02 1.7e-12 30.85
112 2.9e-09 3.3e-04 1.3e-07 9.89e-01 1.664080711e+02 1.664080748e+02 1.5e-12 30.87
113 2.6e-09 2.9e-04 1.2e-07 1.27e+00 1.664080713e+02 1.664080747e+02 1.3e-12 30.89
114 2.3e-09 2.6e-04 1.1e-07 1.46e+00 1.664080716e+02 1.664080745e+02 1.2e-12 30.97
115 2.6e-09 2.4e-04 9.6e-08 1.48e+00 1.664080718e+02 1.664080744e+02 1.1e-12 31.66
116 2.9e-09 2.9e-05 1.2e-08 6.57e-01 1.664080735e+02 1.664080739e+02 2.5e-13 31.79
Interior-point optimizer terminated. Time: 31.79.
Optimizer terminated. Time: 31.80
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.66408073.
----------------------------------------------------------------------
Ran 1 test in 370.599s
OK
Generating XML reports...
50e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6640807386e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 31.8 seconds.
Solving took 9 GP solves and 216 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: 1.4957408174727569e+110 vs 1.49570280094e+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: 3.705393389633906e+72 vs 3.70526988487e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682434]
Total Aircraft Weight Percent Diff: [-21.48057527]
Engine Weight Percent Diff: -56.2783119990263
Fuselage Weight Percent Diff: -0.8697446456748472
Payload Weight Percent Diff: [-0.04003562]
VT Weight Percent Diff: -8.607995032448475
HT Weight Percent Diff: -93.2333241432869
Wing Weight Percent Diff: 8.267526528644709
WING DIFFERENCES
Wing Span Percent Diff: -0.029992566430807815
Wing Area Percent Diff: 32.89968132786088
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488528318556156
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022362579508018
VT Area Percent Diff: -60.386855355383666
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.5471522]
L/D Percent Diff: [24.01023593]
Nacelle Cd Percent Diff: [-94.27641724]
HT Cd Percent Diff: [-80.76942404] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00292948] dimensionless
Wing Cd percent Diff: [-14.22909473]
Induced Drag Cd Percent Diff: [1.2195173]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035669]
FUSELAGE DIFFERENCES
Weight of HB material: -38.361313581218184
Weight of VB material: 87.81517773952784
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260513]
Found no installed solvers, beginning a build.
# Moving to the directory from which GPkit was imported.
Started building gpkit...
Attempting to find and build solvers:
# Looking for mosek
# Found /Users/jenkins/mosek/7/tools/platform/osx64x86/h/mosek.h
# Found /Users/jenkins/mosek/7/tools/platform/osx64x86/bin/libmosek64.7.1.dylib
# Found /Users/jenkins/mosek/7/tools/examples/c/scopt-ext.c
# Found /Users/jenkins/mosek/7/tools/examples/c/expopt.c
# Found /Users/jenkins/mosek/7/tools/examples/c/dgopt.c
# Found /Users/jenkins/mosek/7/tools/examples/c/scopt-ext.h
# Found /Users/jenkins/mosek/7/tools/examples/c/expopt.h
# Found /Users/jenkins/mosek/7/tools/examples/c/dgopt.h
# Found /Users/jenkins/mosek/7/tools/platform/osx64x86/h/mosek.h
# Found mosek version 7, installed to /Users/jenkins/mosek
#
# Building mosek...
# Replacing directory _mosek/lib
# Replacing directory _mosek/build
# Replacing directory /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit
#
# Copying expopt library files to _mosek/build
# Copying /Users/jenkins/mosek/7/tools/examples/c/scopt-ext.c
# Copying /Users/jenkins/mosek/7/tools/examples/c/expopt.c
# Copying /Users/jenkins/mosek/7/tools/examples/c/dgopt.c
# Copying /Users/jenkins/mosek/7/tools/examples/c/scopt-ext.h
# Copying /Users/jenkins/mosek/7/tools/examples/c/expopt.h
# Copying /Users/jenkins/mosek/7/tools/examples/c/dgopt.h
# Copying /Users/jenkins/mosek/7/tools/platform/osx64x86/h/mosek.h
#
# Applying expopt patches...
#
# Change in _mosek/build/dgopt.con line 683
# -- printf("Number of Hessian non-zeros: %d\n",nlh[0]->numhesnz)
# ++ MSK_echotask(task,MSK_STREAM_MSG,"Number of Hessian non-zeros: %d\n",n
#
# Change in _mosek/build/expopt.con line 569
# -- printf("Warning: The variable with index '%d' has only positive
# ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "Warning: The variable with in
#
# Change in _mosek/build/expopt.con line 582
# -- printf("Warning: The variable with index '%d' has only negative
# ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "Warning: The variable with in
#
# Change in _mosek/build/expopt.con line 1115
# -- printf ("solsta = %d, prosta = %d\n", (int)*solsta,(int)*prosta);
# ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "solsta = %d, prosta = %d\n",
#
# Building expopt library...
# Calling 'gcc -fpic -shared -Wl,-rpath "/Users/jenkins/mosek/7/tools/platform/osx64x86/bin" _mosek/build/scopt-ext.c _mosek/build/expopt.c _mosek/build/dgopt.c "/Users/jenkins/mosek/7/tools/platform/osx64x86/bin/libmosek64.7.1.dylib" -o /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so'
##
### CALL BEGINS
### CALL ENDS
##
# Calling 'install_name_tool -change @loader_path/libmosek64.7.1.dylib /Users/jenkins/mosek/7/tools/platform/osx64x86/bin/libmosek64.7.1.dylib /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so'
##
### CALL BEGINS
### CALL ENDS
##
#
# Building Python bindings for expopt and Mosek...
# (if this fails on Windows, verify the mingw version)
# Calling 'python modified_ctypesgen.py -a -l /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so -l "/Users/jenkins/mosek/7/tools/platform/osx64x86/bin/libmosek64.7.1.dylib" -o _mosek/lib/expopt_h.py _mosek/build/expopt.h'
##
### CALL BEGINS
### CALL ENDS
##
# Done building mosek
# Looking for mosek_cli
# Trying to run mskexpopt...
# Calling 'mskexpopt'
##
### CALL BEGINS
### CALL ENDS
##
# Found mosek_cli in system path
# Looking for cvxopt
# Trying to import cvxopt...
# Did not find cvxopt
...finished building gpkit.
Replaced found solvers ([u'mosek', u'mosek_cli']) with environment var GPKITSOLVERS (mosek, mosek_cli)
Found the following solvers: mosek, mosek_cli
# Replacing directory env
x[:] <= w
GPkit is now installed with solver(s) [u'mosek', u'mosek_cli']
To incorporate new solvers at a later date, run `gpkit.build()`.
If any tests didn't pass, please post the output above
(starting from "Found no installed solvers, beginning a build.")
to gpkit@mit.edu or https://github.com/convexengineering/gpkit/issues/new
so we can prevent others from having these errors.
The same goes for any other bugs you encounter with GPkit:
send 'em our way, along with any interesting models, speculative features,
comments, discussions, or clarifications you feel like sharing.
Finally, we hope you find our documentation (https://gpkit.readthedocs.io/)
and engineering-design models (https://github.com/convexengineering/gplibrary/)
to be useful resources for your own applications.
Enjoy!
SETTINGS
defaultdict(<type 'str'>, {'skipsolvers': 'cvxopt, mosek_cli', 'pip install': 'git+https://github.com/hoburg/turbofan.git', 'gpkit-models branch': 'master'})
calling ['git', 'clone', '--depth', '1', '-b', 'master', 'https://github.com/convexengineering/gplibrary.git']
attempt 1
calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', '--no-cache-dir', '--no-deps', '-e', 'gplibrary']
attempt 1
calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', 'git+https://github.com/hoburg/turbofan.git']
attempt 1
calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', '.']
attempt 1
[Execution node] check if [macys_VM] is in [[windows10x64, windows7x64]]
Run condition [Execution node ] preventing perform for step [Execute Windows batch command]
[Cobertura] Publishing Cobertura coverage report...
[Cobertura] No coverage results were found using the pattern 'coverage.xml' relative to '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek'. Did you enter a pattern relative to the correct directory? Did you generate the XML report(s) for Cobertura?
[Cobertura] Skipped cobertura reports.
INFO: Starting to record.
INFO: Processing JUnit
INFO: [JUnit] - 1 test report file(s) were found with the pattern '**/test_reports/*.xml' relative to '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek' for the testing framework 'JUnit'.
INFO: Check 'Failed Tests' threshold.
INFO: Check 'Skipped Tests' threshold.
INFO: Setting the build status to SUCCESS
INFO: Stopping recording.
[WS-CLEANUP] Deleting project workspace...
[WS-CLEANUP] Deferred wipeout is used...
[WS-CLEANUP] done
Finished: SUCCESS
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