lean4-htt/tests/elab_bench/simp_local.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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/-!
A micro-benchmark based on `simp_bubblesort`, designed specifically to exploit local hypotheses.
In the design of simp as of adding this benchmark local hypotheses do not get indexed but instead
all tried in sequence. Thus adding a couple of local hypotheses that are necessary to solve a
goal can be significantly slower than having theorems with the same statement tagged as `@[simp]`.
-/
axiom L : Type
axiom N : Type
axiom z : N
axiom s : N → N
axiom nil : L
axiom f : V → L → L
axiom iter : N → (L → L) → (L → L)
axiom V : Type
axiom a : V
axiom b : V
axiom c1 : V
axiom c2 : V
axiom c3 : V
axiom c4 : V
axiom c5 : V
axiom c6 : V
axiom c7 : V
axiom c8 : V
axiom c9 : V
axiom swap : f b (f a xs) = f a (f b xs)
axiom iter_zero : iter z g x = g x
axiom iter_succ : iter (s i) g x = iter i g (iter i g x)
noncomputable def steps : N := s (s (s (s (s (s (s z))))))
set_option maxHeartbeats 250000
set_option maxRecDepth 100000
set_option Elab.async false
--set_option profiler true
theorem normalized
(h1 : f c1 = f c2)
(h2 : f c2 = f c3)
(h3 : f c3 = f c4)
(h4 : f c4 = f c5)
(h5 : f c5 = f c6)
(h6 : f c6 = f c7)
(h7 : f c7 = f c8)
(h8 : f c8 = f c9)
(h : c9 = b) :
iter steps (f c1) (iter steps (f a) nil) =
iter steps (f a) (iter steps (f b) nil) :=
by simp (maxSteps := 1000000) [swap, iter_zero, iter_succ, steps, *]
/-
When compared against this the above has a slowdown of approximately 3x at the time of writing this:
axiom h1 : f c1 = f c2
axiom h2 : f c2 = f c3
axiom h3 : f c3 = f c4
axiom h4 : f c4 = f c5
axiom h5 : f c5 = f c6
axiom h6 : f c6 = f c7
axiom h7 : f c7 = f c8
axiom h8 : f c8 = f c9
axiom h : c9 = b
theorem normalized2
:
iter steps (f c1) (iter steps (f a) nil) =
iter steps (f a) (iter steps (f b) nil) :=
by simp (maxSteps := 1000000) [swap, iter_zero, iter_succ, steps, h1, h2, h3, h4, h5 , h6, h7, h8,
h]
-/