The only one that is not native is 'fly high'. 'Didn't go down well' means that they disagreed with the book. Didn't take off' means that it was not wildly successful.
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Perfect StrangerIs it possible that didn't go down well meaning they disagreed with the book is more of an American expression?You'll have to ask a non-American.
Perfect StrangerMy British co-worker used it in a sentence and I'm quite positive that what he was trying to convey was something similar to they didn't like it much.That's how we use it in BrE.
fivejedjonThat's how we use it in BrE.Thank you for that comment!