# Model tp071
# Source version 2
# Simple APM canonicalizer version 1.3
# AMPL backend version 1.1
var x_1 >= 1, <= 5;
let x_1 := 1;
var x_2 >= 1, <= 5;
let x_2 := 5;
var x_3 >= 1, <= 5;
let x_3 := 5;
var x_4 >= 1, <= 5;
let x_4 := 1;
var myminfun = x_1*x_4*(x_1 + x_2 + x_3) + x_3;
var myabsdevnod0_0 = abs(myminfun - 17.0140172891563);
var myreldevnod0_0 = abs(myminfun/17.0140172891563 - 1);
var myabsdevnod0_1 = abs(x_1 - 1);
var myreldevnod0_1 = abs(x_1 - 1);
var myabsdevnod0_2 = abs(x_2 - 4.742999637264417);
var myreldevnod0_2 = abs(x_2/4.742999637264417 - 1);
var myabsdevnod0_3 = abs(x_3 - 3.821149984184874);
var myreldevnod0_3 = abs(x_3/3.821149984184874 - 1);
var myabsdevnod0_4 = abs(x_4 - 1.379408293172672);
var myreldevnod0_4 = abs(x_4/1.379408293172672 - 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 myabsdevnod1_4 = myabsdevnod0_4;
var myreldevnod1_4 = myreldevnod0_4;
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 myabsdevnod2_4 = myabsdevnod1_4;
var myreldevnod2_4 = myreldevnod1_4;
var myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4));
var myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4));
var zmyabsdevmax = myabsdevnod3_0;
var zmyreldevmax = myreldevnod3_0;
minimize obj: myminfun;
subject to ce_1: x_1^2 + x_2^2 + x_3^2 + x_4^2 - 40 = 0;
subject to ci_1: x_1*x_2*x_3*x_4 - 25 >= 0;
solve;
display x_1;
display x_2;
display x_3;
display x_4;
display myminfun;
display zmyabsdevmax;
display zmyreldevmax;
# End Model