6b811f8c92
This PR adds a simp_arith benchmark. This benchmark highlights some improvable asymptotics in `Nat.Linear`, which will be fixed subsequently.
29 lines
906 B
Text
29 lines
906 B
Text
import Lean
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open Lean Meta Elab in
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elab "largeGoal%" : term =>
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let n := 30 -- number of variables
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let r := 3 -- number of repetitions
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let mkAdd := mkApp2 (mkConst ``Nat.add)
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let mkMul := mkApp2 (mkConst ``Nat.mul)
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let decls := Array.ofFn fun (i : Fin n) =>
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((`x).appendIndexAfter i, (fun _ => pure (mkConst ``Nat)))
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withLocalDeclsD decls fun xs => do
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let mut e₁ : Expr := mkNatLit 42
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let mut e₂ : Expr := mkNatLit 23
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for _ in [:r] do
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for i in [:xs.size] do
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e₁ := mkAdd (mkMul (mkNatLit i) e₁) xs[i]!
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e₂ := mkAdd xs[i]! (mkMul e₂ (mkNatLit (xs.size - i)))
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let goal ← mkEq e₁ e₂
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let goal := mkNot goal
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let goal ← mkForallFVars xs goal
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return goal
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set_option maxRecDepth 10000
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-- manually verified: most time spent in type-checking
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-- set_option trace.profiler true
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example : largeGoal% := by
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intros
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simp_arith only
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