Your example of 1m turrets, 1m troops and 500k turrets, assuming no tech would take around 5.6m jets to break with allies doubling the break and a hair over 10% for pang bounce.

I think you said 2.6 and 2.7 didn’t break which is why people are confused. In your example the break isn’t doubled for allies.

Kinda surprised people do ops on bots still. If you bounce 100 hits in a set making educated guesses on breaks (I.e when 4m fails up break to 5m), you’re probably still more efficient than opping all your targets, carrying spies etc.

It’s not like the bots get mad if you bounce here and there. Send 1m until 1m doesn’t work and then send 2. It’s pretty simple.

Also, re: losses on bounces, the closer you are to breaking a target the higher losses the defended will take. You’re likely losing 3:1 because you only sent around half what you need to. It takes about 50 hits at 1/6 break (just above generals stopping attack) to cut a break in half. That’s equal to about 9 hits at just barely not breaking and about 11 hits breaking. Also, bots carry medical tech which lowers their losses. Hope this helps!