# Model tp024
# Source version 1
# Simple APM canonicalizer version 1.3
# AMPL backend version 1.1
var x_1 >= 0;
let x_1 := 1;
var x_2 >= 0;
let x_2 := 1/2;
var myminfun = (1/(27*sqrt(3)))*((x_1 - 3)^2 - 9)*x_2^3;
var myabsdevnod0_0 = abs(myminfun + 1);
var myreldevnod0_0 = abs(myminfun + 1);
var myabsdevnod0_1 = abs(x_1 - 3);
var myreldevnod0_1 = abs(x_1/3 - 1);
var myabsdevnod0_2 = abs(x_2 - 1.732050807568877);
var myreldevnod0_2 = abs(x_2/1.732050807568877 - 1);
var myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1));
var myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1));
var myabsdevnod1_2 = myabsdevnod0_2;
var myreldevnod1_2 = myreldevnod0_2;
var myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2));
var myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2));
var zmyabsdevmax = myabsdevnod2_0;
var zmyreldevmax = myreldevnod2_0;
minimize obj: myminfun;
subject to ci_1: x_1/sqrt(3) - x_2 >= 0;
subject to ci_2: x_1 + sqrt(3)*x_2 >= 0;
subject to ci_3: (-1)*x_1 - sqrt(3)*x_2 + 6 >= 0;
solve;
display x_1;
display x_2;
display myminfun;
display zmyabsdevmax;
display zmyreldevmax;
# End Model