refactor derivatives #296

Job	Run time
Test (ubuntu-20.04, x86_64-unknown-linux-gnu)	3m 48s
Test (windows-2022, x86_64-pc-windows-msvc)	3m 40s
Lint	6m 36s
Test (macOS-latest, x86_64-apple-darwin)	3m 33s
Test (ubuntu-20.04, aarch64-linux-android, x86_64-unknown-linux-gnu)	3m 49s
cargo-deny	59s
test_success	-1s
	22m 24s

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