# Model tp033r
# Source version 1
# Simple APM canonicalizer version 1.3
# AMPL backend version 1.1
param lbx2hs := 0;
param lbx2r := 10^(-5);
param lbx2 := lbx2r;
var x_1 >= 0;
let x_1 := 0;
var x_2 >= lbx2;
let x_2 := lbx2;
var x_3 >= 0, <= 5;
let x_3 := 3;
var myminfun = (x_1 - 1)*(x_1 - 2)*(x_1 - 3) + x_3;
var myabsdevnod0_0 = abs(myminfun + 4.585786437626905);
var myreldevnod0_0 = abs(myminfun/4.585786437626905 + 1);
var myabsdevnod0_1 = abs(x_1);
var myreldevnod0_1 = abs(x_1);
var myabsdevnod0_2 = abs(x_2 - 1.414213562373095);
var myreldevnod0_2 = abs(x_2/1.414213562373095 - 1);
var myabsdevnod0_3 = abs(x_3 - 1.414213562373095);
var myreldevnod0_3 = abs(x_3/1.414213562373095 - 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 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3));
var myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3));
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_3^2 - x_2^2 - x_1^2 >= 0;
subject to ci_2: x_1^2 + x_2^2 + x_3^2 - 4 >= 0;
solve;
display x_1;
display x_2;
display x_3;
display myminfun;
display zmyabsdevmax;
display zmyreldevmax;
# End Model