# Model tp079
var x_1;
let x_1 := 2;
var x_2;
let x_2 := 2;
var x_3;
let x_3 := 2;
var x_4;
let x_4 := 2;
var x_5;
let x_5 := 2;
minimize obj: (x_1 - 1)^2 + (x_1 - x_2)^2 + (x_2 - x_3)^2 + (x_3 - x_4)^4 + (x_4 - x_5)^4;
subject to ce_1: x_1 + x_2^2 + x_3^3 - 2 - 3*sqrt(2) = 0;
subject to ce_2: x_2 - x_3^2 + x_4 + 2 - 2*sqrt(2) = 0;
subject to ce_3: x_1*x_5 - 2 = 0;
display obj;
solve;
display obj;
display x_1;
display x_2;
display x_3;
display x_4;
display x_5;
display obj - 0.0787768208710569;
display x_1 - 1.191127456311051;
display x_2 - 1.362603164961742;
display x_3 - 1.472817931512088;
display x_4 - 1.635016619167993;
display x_5 - 1.679081436166408;