# NLP written by GAMS Convert at 02/17/22 17:19:10
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         8        8        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        14       14        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        56        8       48
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,1), initialize=0.171747132)
m.x2 = Var(within=Reals, bounds=(0,1), initialize=0.843266708)
m.x3 = Var(within=Reals, bounds=(0,1), initialize=0.550375356)
m.x4 = Var(within=Reals, bounds=(0,1), initialize=0.301137904)
m.x5 = Var(within=Reals, bounds=(0,1), initialize=0.292212117)
m.x6 = Var(within=Reals, bounds=(0,1), initialize=0.224052867)
m.x7 = Var(within=Reals, bounds=(0,1), initialize=0.349830504)
m.x8 = Var(within=Reals, bounds=(0,1), initialize=0.856270347)
m.x9 = Var(within=Reals, bounds=(-10,10), initialize=0.355)
m.x10 = Var(within=Reals, bounds=(-10,10), initialize=2.007)
m.x11 = Var(within=Reals, bounds=(-10,10), initialize=-4.575)
m.x12 = Var(within=Reals, bounds=(0,0.5), initialize=0.015)
m.x13 = Var(within=Reals, bounds=(0,0.5), initialize=0.11)
m.x14 = Var(within=Reals, bounds=(0,0.5), initialize=0.285)

m.obj = Objective(sense=minimize, expr= ((-0.1622 + m.x1) / m.x1)**2 + ((
    -0.6791 + m.x2) / m.x2)**2 + ((-0.679 + m.x3) / m.x3)**2 + ((-0.3875 + m.x4)
    / m.x4)**2 + ((-0.1822 + m.x5) / m.x5)**2 + ((-0.1249 + m.x6) / m.x6)**2
    + ((-0.0857 + m.x7) / m.x7)**2 + ((-0.0616 + m.x8) / m.x8)**2)

m.e1 = Constraint(expr= m.x9 * exp(-4 * m.x12) + m.x10 * exp(-4 * m.x13) +
    m.x11 * exp(-4 * m.x14) - m.x1 == 0)
m.e2 = Constraint(expr= m.x9 * exp(-8 * m.x12) + m.x10 * exp(-8 * m.x13) +
    m.x11 * exp(-8 * m.x14) - m.x2 == 0)
m.e3 = Constraint(expr= m.x9 * exp(-12 * m.x12) + m.x10 * exp(-12 * m.x13) +
    m.x11 * exp(-12 * m.x14) - m.x3 == 0)
m.e4 = Constraint(expr= m.x9 * exp(-24 * m.x12) + m.x10 * exp(-24 * m.x13) +
    m.x11 * exp(-24 * m.x14) - m.x4 == 0)
m.e5 = Constraint(expr= m.x9 * exp(-48 * m.x12) + m.x10 * exp(-48 * m.x13) +
    m.x11 * exp(-48 * m.x14) - m.x5 == 0)
m.e6 = Constraint(expr= m.x9 * exp(-72 * m.x12) + m.x10 * exp(-72 * m.x13) +
    m.x11 * exp(-72 * m.x14) - m.x6 == 0)
m.e7 = Constraint(expr= m.x9 * exp(-94 * m.x12) + m.x10 * exp(-94 * m.x13) +
    m.x11 * exp(-94 * m.x14) - m.x7 == 0)
m.e8 = Constraint(expr= m.x9 * exp(-118 * m.x12) + m.x10 * exp(-118 * m.x13) +
    m.x11 * exp(-118 * m.x14) - m.x8 == 0)