# Model tp047r
param lbx5 := 6/5;
var x_1;
let x_1 := 2;
var x_2;
let x_2 := sqrt(2);
var x_3;
let x_3 := -1;
var x_4;
let x_4 := 2 - sqrt(2);
var x_5 >= lbx5;
let x_5 := 1/2;
minimize obj: (x_1 - x_2)^2 + (x_2 - x_3)^3 + (x_3 - x_4)^4 + (x_4 - x_5)^4;
subject to ce_1: x_1 + x_2^2 + x_3^3 - 3 = 0;
subject to ce_2: x_2 - x_3^2 + x_4 - 1 = 0;
subject to ce_3: x_1*x_5 - 1 = 0;
display obj;
solve;
display obj;
display x_1;
display x_2;
display x_3;
display x_5;
display obj + 0.02671418269394084;
display x_1 - 0.6770043948666402;
display x_2 - 0.726089472652032;
display x_3 - 1.215491214237097;
display x_4 - 1.751329419235542;
display x_5 - 1.477095285617732;