If you entered that you want to amount withdrawn then the IRS will withdraw the amount on the date selected. If you selected the same day as e-filed it might be a few days until the funds are withdrawn.
You can view your balance and payment activity at the IRS Paying Your Taxes site.
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TurboTax and H&R Block do not withdraw your tax payment from your bank account. The IRS withdraws it. Sometimes it takes them a few days, and I don't think they make any withdrawals on weekends. Your payment will be credited as of the date that you specified, even if the IRS doesn't withdraw it until a few days later.