I have re-factored the code in my original answer. I have removed the recursion and removed the assumed existence overhead.
function roughSizeOfObject( object ) {
var objectList = [];
var stack = [ object ];
var bytes = 0;
while ( stack.length ) {
var value = stack.pop();
if ( typeof value === 'boolean' ) {
bytes += 4;
}
else if ( typeof value === 'string' ) {
bytes += value.length * 2;
}
else if ( typeof value === 'number' ) {
bytes += 8;
}
else if
(
typeof value === 'object'
&& objectList.indexOf( value ) === -1
)
{
objectList.push( value );
for( var i in value ) {
stack.push( value[ i ] );
}
}
}
return bytes;
}