I am aware of the fact that, Class#getDeclaredMethods returns declared methods of the class and Class#getMethods in additional contains the inherited methods. In short:
getDeclaredMethods is subset of getMethods
But how is the below output justified?
class A implements Comparator<Integer> {    
    public int compare(Integer o1, Integer o2) {
        return -1;
    }    
    private Object baz = "Hello";    
    private class Bar {
        private Bar() {
            System.out.println(baz);
        }
    }       
    Bar b = new Bar();    
}
for (Method m : claz.getDeclaredMethods()) {
    System.out.println(m.getName()+ " " + m.isSynthetic());
}
It prints:
access$1 synthetic(true)
compare synthetic(false)
compare synthetic(true)
For the below:
for (Method m : claz.getMethods()) {
    System.out.println(m.getName() + " synthetic(" + m.isSynthetic()+")" );
}
It prints:
compare synthetic(false)
compare synthetic(true)
...//removed others for brievity
When we try printing methods of A.class, apart from visible methods it contains 2 additional synthetic methods compare(Object, Object) (bridge method) and access$1 (for Bar to access elements of outer class Foo). 
Both get printed in declaredMethods. But why doesn't getMethods print access$1?
access$1 is not public - you can verify it by printing Modifier.isPublic(m.getModifiers()).
getMethods() only shows public methods:
Returns an array containing Method objects reflecting all the public member methods of the class [...]
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