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This paper describes our experience applying formal methods to a critical component in the Linux kernel, the just-in-time compilers ("JITs") for the Berkeley Packet Filter (BPF) virtual machine. We verify these JITs using Jitterbug, the first framework to provide a precise specification of JIT correctness that is capable of ruling out real-world bugs, and an automated proof strategy that scales to practical implementations. Using Jitterbug, we have designed, implemented, and verified a new BPF JIT for 32-bit RISC-V, found and fixed 16 previously unknown bugs in five other deployed JITs, and developed new JIT optimizations; all of these changes have been upstreamed to the Linux kernel. The results show that it is possible to build a verified component within a large, unverified system with careful design of specification and proof strategy.