refactor derivatives #298

Job	Run time
Lint	6m 23s
Test (macOS-latest, x86_64-apple-darwin)	10m 46s
Test (windows-2022, x86_64-pc-windows-msvc)	30m 41s
Test (ubuntu-20.04, aarch64-linux-android, x86_64-unknown-linux-gnu)	9m 25s
Test (ubuntu-20.04, x86_64-unknown-linux-gnu)	16m 9s
cargo-deny	58s
test_success	2s
	1h 14m 24s

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