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lean4/tests/elab_bench/big_omega.lean
Garmelon 08eb78a5b2 chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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/-!
This benchmark exercises `omega` in a way that creates a big proof, exercising `instantiateMVars`
and `shareCommonPreDefs` as well. In particular, running it with `internal.cmdlineSnapshots=false`,
like the language server does, uncovered a significant slowdown in `instantiateMVars` (#5614).
-/
set_option maxHeartbeats 0
theorem memcpy_extracted_2 (six0 s0x0 : BitVec 64)
(h_six0_nonzero : six0 0)
(h_s0x1 : s0x1 + 16#64 * (s0x0 - six0) + 16#64 = s0x1 + 16#64 * (s0x0 - (six0 - 1#64)))
(h_s0x2 : s0x2 + 16#64 * (s0x0 - six0) + 16#64 = s0x2 + 16#64 * (s0x0 - (six0 - 1#64)))
(h_assert_1 : six0 s0x0)
(h_assert_3 : six1 = s0x1 + 16#64 * (s0x0 - six0))
(h_assert_4 : six2 = s0x2 + 16#64 * (s0x0 - six0))
(n : Nat)
(addr : BitVec 64)
(h_le : (s0x0 - (six0 - 1#64)).toNat s0x0.toNat)
(h_upper_bound : addr.toNat + n 2 ^ 64)
(h_upper_bound₂ : s0x2.toNat + s0x0.toNat * 16 2 ^ 64)
(h_upper_bound₃ : s0x2.toNat + (16#64 * (s0x0 - (six0 - 1#64))).toNat 2 ^ 64)
(h_width_lt : (16#64).toNat * (s0x0 - (six0 - 1#64)).toNat < 2 ^ 64)
(hmemSeparate_omega : s0x1.toNat + s0x0.toNat * 16 2 ^ 64
s0x2.toNat + s0x0.toNat * 16 2 ^ 64
(s0x1.toNat + s0x0.toNat * 16 s0x2.toNat s0x1.toNat s0x2.toNat + s0x0.toNat * 16))
(hmemLegal_omega : s0x1.toNat + s0x0.toNat * 16 2 ^ 64)
(hmemLegal_omega : s0x2.toNat + s0x0.toNat * 16 2 ^ 64)
(hmemSeparate_omega : s0x2.toNat + 16 % 2 ^ 64 * ((2 ^ 64 - (2 ^ 64 - 1 % 2 ^ 64 + six0.toNat) % 2 ^ 64 + s0x0.toNat) % 2 ^ 64) % 2 ^ 64
2 ^ 64
addr.toNat + n 2 ^ 64
(s0x2.toNat +
16 % 2 ^ 64 * ((2 ^ 64 - (2 ^ 64 - 1 % 2 ^ 64 + six0.toNat) % 2 ^ 64 + s0x0.toNat) % 2 ^ 64) % 2 ^ 64
addr.toNat
s0x2.toNat addr.toNat + n))
(hmemLegal_omega : s0x2.toNat + 16 % 2 ^ 64 * ((2 ^ 64 - (2 ^ 64 - 1 % 2 ^ 64 + six0.toNat) % 2 ^ 64 + s0x0.toNat) % 2 ^ 64) % 2 ^ 64
2 ^ 64)
(hmemLegal_omega : addr.toNat + n 2 ^ 64) :
s0x2.toNat + (16#64 * (s0x0 - six0)).toNat 2 ^ 64
addr.toNat + n 2 ^ 64
(s0x2.toNat + (16#64 * (s0x0 - six0)).toNat addr.toNat s0x2.toNat addr.toNat + n) := by
bv_omega