The design of the budget system is in Google's favour, not yours, and if you don't understand that, you'll end up paying much more than you need to.
If you think setting the budget to half is a way to halve your ad spend and get half the number of clicks, you're right, but you're also naïve.
If Google thinks your current rate of spend is going to exceed the daily budget, they'll effectively deactivate your ad for random impressions, leading to less spend.
but that isn't the best strategy. The best strategy is to lower your bids to win fewer auctions if you want to spend less. That way, you can spend half as much, but get more ROI, since the Google AI will be only showing your ad to those most likely to be interested in it.