43e96b119d
This PR removes some cases where `simp` would significantly overrun a
timeout.
This is a little tricky to test cleanly; using mathlib's
`#count_heartbeats` as
```lean4
#count_heartbeats in
set_option maxHeartbeats 200000 in
example (k : Nat) (a : Fin (1 + k + 1) → Nat) :
0 ≤ sumRange (1 + k + 1) (fun i =>
if h : i < 1 + k + 1 then a ⟨i, h⟩ else 0) := by
simp only [Nat.add_comm, sumRange_add]
```
I see 200010 heartbeats with this PR, and 1873870 (9x the requested
limit) without.
This type of failure is wasteful in AI systems which try tactics with a
short timeout.
17 lines
695 B
Text
17 lines
695 B
Text
axiom sumRange (n : Nat) (f : Nat → Nat) : Nat
|
|
axiom sumRange_add (m n) (f : Nat → Nat) :
|
|
sumRange (m + n) f = sumRange m f + sumRange n (f <| m + ·)
|
|
|
|
/--
|
|
error: Tactic `simp` failed with a nested error:
|
|
(deterministic) timeout at `«Lean.Meta.acLt»`, maximum number of heartbeats (200000) has been reached
|
|
|
|
Note: Use `set_option maxHeartbeats <num>` to set the limit.
|
|
|
|
Hint: Additional diagnostic information may be available using the `set_option diagnostics true` command.
|
|
-/
|
|
#guard_msgs in
|
|
example (k : Nat) (a : Fin (1 + k + 1) → Nat) :
|
|
0 ≤ sumRange (1 + k + 1) (fun i =>
|
|
if h : i < 1 + k + 1 then a ⟨i, h⟩ else 0) := by
|
|
simp only [Nat.add_comm, sumRange_add]
|