If you use 40M+ optimization variables and a really really bad optimization technique (gradients), which is however fast, as is the case in DL, the amount of ni

If you use 40M+ optimization variables and a really really bad optimization technique (gradients), which is however fast, as is the case in DL, the amount of nice practical things (e.g. limits) you might be able to say could be very low. Yes, we all were stunned when somebody pulled some awesome trick and found a better upper/lower bound on something, yet sometimes it's better to be realistic - maybe once we transfer to quantum computers, we can test more limits practically when utilizing parallel power of QP.