What you wrote is entirely incorrect. You cannot wash trade algorithmically any more than you could do by hand (as a matter of fact, virtually all exchanges ha

What you wrote is entirely incorrect. You cannot wash trade algorithmically any more than you could do by hand (as a matter of fact, virtually all exchanges have self trade prevention that will cancel your netting orders), and exchanges publish full book depth of market data, even IEX these days - the roundlot thing you allude to is a regulatory constructor from Reg NMS for protected quotes.