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fmcTitle("tp107")$
/* Source version 1 */
/* Simple APM canonicalizer version 1.3 */
/* FMCMAC backend version 1.2 */
myownabs(x) := fmc_m_abs(x)$
c : (48.4b0/50.176b0)*sin(.25b0)$
d : (48.4b0/50.176b0)*cos(.25b0)$
fmcInitialValue(x_1, .8b0)$
fmcStrongLowerBound(x_1, 0)$
fmcInitialValue(x_2, .8b0)$
fmcStrongLowerBound(x_2, 0)$
fmcInitialValue(x_3, .2b0)$
fmcInitialValue(x_4, .2b0)$
fmcInitialValue(x_5, 1.0454b0)$
fmcStrongLowerBound(x_5, .90909b0)$
fmcStrongUpperBound(x_5, 1.0909b0)$
fmcInitialValue(x_6, 1.0454b0)$
fmcStrongLowerBound(x_6, .90909b0)$
fmcStrongUpperBound(x_6, 1.0909b0)$
fmcInitialValue(x_7, 1.0454b0)$
fmcStrongLowerBound(x_7, .90909b0)$
fmcStrongUpperBound(x_7, 1.0909b0)$
fmcInitialValue(x_8, 0)$
fmcInitialValue(x_9, 0)$
y1 : sin(x_8)$
y2 : cos(x_8)$
y3 : sin(x_9)$
y4 : cos(x_9)$
y5 : sin(x_8 - x_9)$
y6 : cos(x_8 - x_9)$
ec_1 : .4b0 - x_1 + 2*c*x_5^2 - x_5*x_6*(d*y1 + c*y2) - x_5*x_7*(d*y3 + c*y4)$
ec_2 : .4b0 - x_2 + 2*c*x_6^2 + x_5*x_6*(d*y1 - c*y2) + x_6*x_7*(d*y5 - c*y6)$
ec_3 : .8b0 + 2*c*x_7^2 + x_5*x_7*(d*y3 - c*y4) - x_6*x_7*(d*y5 + c*y6)$
ec_4 : .2b0 - x_3 + 2*d*x_5^2 + x_5*x_6*(c*y1 - d*y2) + x_5*x_7*(c*y3 - d*y4)$
ec_5 : .2b0 - x_4 + 2*d*x_6^2 - x_5*x_6*(c*y1 + d*y2) - x_6*x_7*(c*y5 + d*y6)$
ec_6 : (-.337b0) + 2*d*x_7^2 - x_5*x_7*(c*y3 + d*y4) + x_6*x_7*(c*y5 - d*y6)$
mf : 3000*x_1 + 1000*x_1^3 + 2000*x_2 + 666.667b0*x_2^3$
myminfun : mf$
myabsdevnod0_0 : myownabs(myminfun - 5055.011803543816b0)$
myreldevnod0_0 : myownabs(myminfun/5055.011803543816b0 - 1)$
myabsdevnod0_1 : myownabs(x_1 - 0.6670127623153279b0)$
myreldevnod0_1 : myownabs(x_1/0.6670127623153279b0 - 1)$
myabsdevnod0_2 : myownabs(x_2 - 1.022384717050832b0)$
myreldevnod0_2 : myownabs(x_2/1.022384717050832b0 - 1)$
myabsdevnod0_3 : myownabs(x_3 - 0.2282871446675199b0)$
myreldevnod0_3 : myownabs(x_3/0.2282871446675199b0 - 1)$
myabsdevnod0_4 : myownabs(x_4 - 0.1848217561297505b0)$
myreldevnod0_4 : myownabs(x_4/0.1848217561297505b0 - 1)$
myabsdevnod0_5 : myownabs(x_5 - 1.0909b0)$
myreldevnod0_5 : myownabs(x_5/1.0909b0 - 1)$
myabsdevnod0_6 : myownabs(x_6 - 1.0909b0)$
myreldevnod0_6 : myownabs(x_6/1.0909b0 - 1)$
myabsdevnod0_7 : myownabs(x_7 - 1.069036003142822b0)$
myreldevnod0_7 : myownabs(x_7/1.069036003142822b0 - 1)$
myabsdevnod0_8 : myownabs(x_8 - 0.1066106224065641b0)$
myreldevnod0_8 : myownabs(x_8/0.1066106224065641b0 - 1)$
myabsdevnod0_9 : myownabs(x_9 + 0.3387876190699065b0)$
myreldevnod0_9 : myownabs(x_9/0.3387876190699065b0 + 1)$
myabsdevnod1_0 : (1/2)*(myownabs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1))$
myreldevnod1_0 : (1/2)*(myownabs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1))$
myabsdevnod1_2 : (1/2)*(myownabs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3))$
myreldevnod1_2 : (1/2)*(myownabs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3))$
myabsdevnod1_4 : (1/2)*(myownabs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5))$
myreldevnod1_4 : (1/2)*(myownabs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5))$
myabsdevnod1_6 : (1/2)*(myownabs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7))$
myreldevnod1_6 : (1/2)*(myownabs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7))$
myabsdevnod1_8 : (1/2)*(myownabs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9))$
myreldevnod1_8 : (1/2)*(myownabs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9))$
myabsdevnod2_0 : (1/2)*(myownabs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2))$
myreldevnod2_0 : (1/2)*(myownabs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2))$
myabsdevnod2_4 : (1/2)*(myownabs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6))$
myreldevnod2_4 : (1/2)*(myownabs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6))$
myabsdevnod2_8 : myabsdevnod1_8$
myreldevnod2_8 : myreldevnod1_8$
myabsdevnod3_0 : (1/2)*(myownabs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4))$
myreldevnod3_0 : (1/2)*(myownabs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4))$
myabsdevnod3_8 : myabsdevnod2_8$
myreldevnod3_8 : myreldevnod2_8$
myabsdevnod4_0 : (1/2)*(myownabs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8))$
myreldevnod4_0 : (1/2)*(myownabs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8))$
zmyabsdevmax : myabsdevnod4_0$
zmyreldevmax : myreldevnod4_0$
obj : myminfun$
fmcMinimum(obj)$
fmcEquality(ce_1, ec_1)$
fmcEquality(ce_2, ec_2)$
fmcEquality(ce_3, ec_3)$
fmcEquality(ce_4, ec_4)$
fmcEquality(ce_5, ec_5)$
fmcEquality(ce_6, ec_6)$
fmcEscortFloat(x_1, x_1)$
fmcEscortFloat(x_2, x_2)$
fmcEscortFloat(x_3, x_3)$
fmcEscortFloat(x_4, x_4)$
fmcEscortFloat(x_5, x_5)$
fmcEscortFloat(x_6, x_6)$
fmcEscortFloat(x_7, x_7)$
fmcEscortFloat(x_8, x_8)$
fmcEscortFloat(x_9, x_9)$
fmcEscortFloat('myminfun, myminfun)$
fmcEscortFloat('zmyabsdevmax, zmyabsdevmax)$
fmcEscortFloat('zmyreldevmax, zmyreldevmax)$
fmcControlMinimum(1, 0)$
/* End Model */