I can't find any perfect match for what you've requested. But on second thought, here's an unrelated non-answer.

On second thought — TFD

after having thought about something again.

 

"On second thought we decided that it would be too expensive to fly, so we took a bus instead."

I can't find any perfect match for what you've requested. But on second thought, here's an unrelated non-answer.

On second thought — TFD

after having thought about something again.

"On second thought we decided that it would be too expensive to fly, so we took a bus instead."

I can't find any perfect match for what you've requested. But on second thought, here's a related idiom.

On second thought — TFD

after having thought about something again.

"On second thought we decided that it would be too expensive to fly, so we took a bus instead."

I can't find any perfect match for what you've requested. But on second thought, here's an unrelated non-answer.

On second thought — TFD

after having thought about something again.

"On second thought we decided that it would be too expensive to fly, so we took a bus instead."