Integer NLP Solver

// Solves the non linear system:
// a² + b² = 45
// b² + c² = 40
// Where a, b and c are integers

function o(x)
{
  return Math.abs(x[0]*x[0] + x[1]*x[1] - 45) +
         Math.abs(x[1]*x[1] + x[2]*x[2] - 40);
}

function mutate(x)
{
  var x2 = x.slice(0); // clone

  for (var i = 0; i < x.length; i++)
  {
    var r = Math.random();
    x2[i] += r < 1/3 ? -1 : r < 2/3 ? 0 : 1;
  }

  return x2;
}

var x = [10, 10, 10];
var u = o(x);

var count = 0;
while (u != 0)
{
  var x2 = mutate(x);
  var n = o(x2);
  if (n <= u)
  {
    u = n;
    x = x2;
  }
  count++;
  if (count == 1000)
  {
    break;
  }
}

WScript.Echo(x + ' (' + count + ' iterations)');