Refactor CurrentTimings #2193

Job	Run time
Test	17s
build_versions (stable)	19s
Test (charset)	26s
cargo-deny (aarch64-apple-ios)	8s
build_versions (beta)	15s
Test (cookies)	25s
cargo-deny (aarch64-linux-android)	10s
build_versions (1.67.0)	30s
Docs	21s
Test (socks-proxy)	10s
cargo-deny (i686-pc-windows-gnu)	8s
Test (gzip)	19s
cargo-deny (i686-pc-windows-msvc)	6s
Lint	23s
Test (brotli)	26s
cargo-deny (i686-unknown-linux-gnu)	5s
Test (json)	19s
cargo-deny (wasm32-unknown-unknown)	1s
cargo-deny (x86_64-apple-darwin)	3s
cargo-deny (x86_64-apple-ios)	3s
cargo-deny (x86_64-pc-windows-gnu)	1s
cargo-deny (x86_64-pc-windows-msvc)	1s
cargo-deny (x86_64-unknown-linux-gnu)	1s
cargo-deny (x86_64-unknown-redox)	1s
	4m 58s

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