lean4-htt/tests/bench/sym/simp_2.lean
2026-01-08 00:20:03 +00:00

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import Lean
open Lean Meta
opaque f : Nat → Nat
namespace SimpBench
/-!
## `SymM` Simplifier benchmarks
-/
def getProofSize (r : Sym.Simp.Result) : MetaM Nat := do
match r with
| .rfl _ => return 0
| .step _ p _ => (ShareCommon.shareCommon' p).numObjs
def checkWithKernel (r : Sym.Simp.Result) : MetaM Float := do
match r with
| .rfl _ => return 0.0
| .step _ p _ =>
let p := ShareCommon.shareCommon' p
let startTime ← IO.monoNanosNow
Meta.checkWithKernel p
let endTime ← IO.monoNanosNow
return (endTime - startTime).toFloat / 1000000.0
def mkSimpMethods : MetaM Sym.Simp.Methods := do
let thms : Sym.Simp.Theorems := {}
let thms := thms.insert (← Sym.Simp.mkTheoremFromDecl ``Nat.zero_add)
let thms := thms.insert (← Sym.Simp.mkTheoremFromDecl ``Nat.add_zero)
return { post := thms.rewrite }
def simp (e : Expr) : MetaM (Sym.Simp.Result × Float) := Sym.SymM.run do
let e ← Grind.shareCommon e
let methods ← mkSimpMethods
let startTime ← IO.monoNanosNow
let r ← Sym.simp e methods { maxSteps := 100000000 }
let endTime ← IO.monoNanosNow
let timeMs := (endTime - startTime).toFloat / 1000000.0
-- logInfo e
-- match r with
-- | .rfl _ => logInfo "rfl"
-- | .step e' h _ =>
-- logInfo e'; logInfo h
return (r, timeMs)
def ppExample (e : Expr) (info := false) : MetaM Unit := do
forallTelescope e fun _ e => do
IO.println "Example:"
IO.println (← ppExpr e)
IO.println "====>"
match (← simp e).1 with
| .rfl _ => IO.println "<no change>"
| .step e' h _ =>
IO.println (← ppExpr e')
IO.println "Proof:"
if info then
logInfo h
else
IO.println (← ppExpr h)
IO.println ""
def benchSimp (name : String) (e : Expr) (check := false) : MetaM Unit :=
forallTelescope e fun _ e => do
let (r, timeMs) ← simp e
let proofSize ← getProofSize r
if check then
let kMs ← checkWithKernel r
IO.println s!"{name}: {timeMs}ms, kernel: {kMs}ms, proof_size={proofSize}"
else
IO.println s!"{name}: {timeMs}ms, proof_size={proofSize}"
def mkLambdaBench (n : Nat) : MetaM Expr := do
let zero := mkNatLit 0
let one := mkNatLit 1
let rec go (n : Nat) (xs : Array Expr) (e : Expr) : MetaM Expr := do
match n with
| 0 => mkLambdaFVars xs e
| n+1 =>
withLocalDeclD `x (mkConst ``Nat) fun x =>
go n (xs.push x) (mkNatAdd zero (mkNatAdd e (mkNatAdd (mkNatAdd x one) zero)))
go n #[] zero
def benchLambda (n : Nat) (telescope := true) (check := false) : MetaM Unit := do
let e ← mkLambdaBench n
if telescope then
benchSimp s!"lambda_{n}" e check
else lambdaTelescope e fun _ e => do
benchSimp s!"lambda_{n}" e check
set_option maxRecDepth 100000
/-! ## Run all benchmarks -/
def runAllBenchmarks : MetaM Unit := do
IO.println "=== Simplifier Lambda Telescope Stress Tests ==="
IO.println ""
IO.println ""
IO.println "--- Benchmark 1: Lambda Telescope block ---"
ppExample (← mkLambdaBench 5)
for n in [10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 300, 400] do
benchLambda n true (n < 500)
IO.println "--- Benchmark 2: Just the body of the lambda ---"
lambdaTelescope (← mkLambdaBench 5) fun _ => ppExample
for n in [10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 300, 400] do
benchLambda n false (n < 500)
#eval runAllBenchmarks
end SimpBench