@@ -563,8 +563,13 @@ class Learner1D(BaseLearner):

         def finite_loss(loss, xs):

             # If the loss is infinite we return the

             # distance between the two points.

-            return (loss if not math.isinf(loss)

-                    else (xs[1] - xs[0]) / self._scale[0])

+            if math.isinf(loss):

+                loss = (xs[1] - xs[0]) / self._scale[0]

+

+            # We round the loss to 12 digits such that losses

+            # are equal up to numerical precision will be considered

+            # equal.

+            return round(loss, ndigits=12)

         quals = [(-finite_loss(loss, x), x, 1)

                  for x, loss in self.losses_combined.items()]