Rewrite CurrentTimings logic #2198

Job	Run time
Docs	19s
build_versions (stable)	14s
Test	45s
build_versions (beta)	17s
cargo-deny (aarch64-apple-ios)	20s
Test (charset)	32s
build_versions (1.67.0)	30s
cargo-deny (aarch64-linux-android)	18s
Test (cookies)	43s
cargo-deny (i686-pc-windows-gnu)	19s
Test (socks-proxy)	41s
cargo-deny (i686-pc-windows-msvc)	32s
Test (gzip)	32s
Lint	27s
cargo-deny (i686-unknown-linux-gnu)	16s
Test (brotli)	51s
cargo-deny (wasm32-unknown-unknown)	16s
Test (json)	35s
cargo-deny (x86_64-apple-darwin)	16s
cargo-deny (x86_64-apple-ios)	16s
cargo-deny (x86_64-pc-windows-gnu)	15s
cargo-deny (x86_64-pc-windows-msvc)	17s
cargo-deny (x86_64-unknown-linux-gnu)	18s
cargo-deny (x86_64-unknown-redox)	16s
	10m 5s

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