* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (N) (- (atan (+ N 1)) (atan N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify (- (atan N)) into (- (atan N))
* [misc]backup-simplify:  Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N))
* [misc]backup-simplify:  Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (atan (+ N 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ 1 N))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (+ 1 N)) into (atan (+ 1 N))
* [misc]approximate:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N)))
* [misc]approximate:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (atan N) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]approximate:  Taking taylor expansion of (atan (/ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]approximate:  Taking taylor expansion of (atan (/ 1 (- N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify (atan (/ -1 N)) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan (/ -1 N)) into (atan (/ -1 N))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* * * * [misc]progress:  [ 2 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))))>
* [enter]simplify:  Simplifying (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* * * * [misc]progress:  [ 3 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))))>
* [enter]simplify:  Simplifying (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* * * * [misc]progress:  [ 4 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* * * * [misc]progress:  [ 5 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 (/ 1 N))) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 (/ 1 N))) (atan N))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 (/ 1 N))) (atan N))
* * * * [misc]progress:  [ 6 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (- 1 (/ 1 N))) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (- 1 (/ 1 N))) (atan N))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (atan (- 1 (/ 1 N))) (atan N))
* * * * [misc]progress:  [ 7 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ N 1)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 8 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ N 1)) (atan (/ 1 N))))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan (/ 1 N)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan (/ 1 N)))
* * * * [misc]progress:  [ 9 / 43 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ N 1)) (atan (/ -1 N))))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan (/ -1 N)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan (/ -1 N)))
* * * * [misc]progress:  [ 10 / 43 ] simplifiying candidate #<alt-delta (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (expm1 (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (expm1 (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (expm1 (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 11 / 43 ] simplifiying candidate #<alt-delta (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (log1p (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log1p (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (log1p (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 12 / 43 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
* [enter]simplify:  Simplifying (- (+ N 1) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (- 1 0)
* [exit]simplify:  Simplified to (- 1 0)
* [enter]simplify:  Simplifying (+ 1 (* (+ N 1) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (fma N (+ 1 N) 1)
* [exit]simplify:  Simplified to (fma N (+ 1 N) 1)
* * * * [misc]progress:  [ 13 / 43 ] simplifiying candidate #<alt-delta (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
* [enter]simplify:  Simplifying (/ (exp (atan (+ N 1))) (exp (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 14 / 43 ] simplifiying candidate #<alt-delta (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
* * * * [misc]progress:  [ 15 / 43 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (log (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (log (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 16 / 43 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (exp (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 17 / 43 ] simplifiying candidate #<alt-delta (λ (N) (cube (cbrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (cbrt (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (cbrt (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 18 / 43 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (cube (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (cube (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cube (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (cube (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 19 / 43 ] simplifiying candidate #<alt-delta (λ (N) (sqr (sqrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (sqrt (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 20 / 43 ] simplifiying candidate #<alt-delta (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* [enter]simplify:  Simplifying (- (atan N))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (atan N))
* [exit]simplify:  Simplified to (- (atan N))
* * * * [misc]progress:  [ 21 / 43 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 22 / 43 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (sqr (atan (+ N 1))) (+ (sqr (atan N)) (* (atan (+ N 1)) (atan N))))))>
* [enter]simplify:  Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (- (cube (atan (+ N 1))) (cube (atan N)))
* [exit]simplify:  Simplified to (- (cube (atan (+ N 1))) (cube (atan N)))
* [enter]simplify:  Simplifying (+ (sqr (atan (+ N 1))) (+ (sqr (atan N)) (* (atan (+ N 1)) (atan N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (fma (+ (atan N) (atan (+ N 1))) (atan N) (* (atan (+ N 1)) (atan (+ N 1))))
* [exit]simplify:  Simplified to (fma (+ (atan N) (atan (+ N 1))) (atan N) (* (atan (+ N 1)) (atan (+ N 1))))
* * * * [misc]progress:  [ 23 / 43 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (sqr (atan (+ N 1))) (sqr (atan N))) (+ (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (sqr (atan (+ N 1))) (sqr (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
* [exit]simplify:  Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
* [enter]simplify:  Simplifying (+ (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (atan N) (atan (+ N 1)))
* [exit]simplify:  Simplified to (+ (atan N) (atan (+ N 1)))
* * * * [misc]progress:  [ 24 / 43 ] simplifiying candidate #<alt-delta (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * * * [misc]progress:  [ 25 / 43 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 26 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (log1p (expm1 (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (expm1 (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (expm1 (atan (+ N 1)))
* [exit]simplify:  Simplified to (expm1 (atan (+ N 1)))
* * * * [misc]progress:  [ 27 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (expm1 (log1p (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (log1p (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log1p (atan (+ N 1)))
* [exit]simplify:  Simplified to (log1p (atan (+ N 1)))
* * * * [misc]progress:  [ 28 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
* * * * [misc]progress:  [ 29 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (log (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (atan (+ N 1)))
* [exit]simplify:  Simplified to (log (atan (+ N 1)))
* * * * [misc]progress:  [ 30 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (exp (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (exp (atan (+ N 1)))
* [exit]simplify:  Simplified to (exp (atan (+ N 1)))
* * * * [misc]progress:  [ 31 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (cube (cbrt (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (cbrt (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (atan (+ N 1)))
* [exit]simplify:  Simplified to (cbrt (atan (+ N 1)))
* * * * [misc]progress:  [ 32 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (cbrt (cube (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (cube (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (cube (atan (+ N 1)))
* [exit]simplify:  Simplified to (cube (atan (+ N 1)))
* * * * [misc]progress:  [ 33 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (sqr (sqrt (atan (+ N 1)))) (atan N)))>
* [enter]simplify:  Simplifying (sqrt (atan (+ N 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (atan (+ N 1)))
* [exit]simplify:  Simplified to (sqrt (atan (+ N 1)))
* * * * [misc]progress:  [ 34 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
* * * * [misc]progress:  [ 35 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (log1p (expm1 (atan N)))))>
* [enter]simplify:  Simplifying (expm1 (atan N))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (expm1 (atan N))
* [exit]simplify:  Simplified to (expm1 (atan N))
* * * * [misc]progress:  [ 36 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (expm1 (log1p (atan N)))))>
* [enter]simplify:  Simplifying (log1p (atan N))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (log1p (atan N))
* [exit]simplify:  Simplified to (log1p (atan N))
* * * * [misc]progress:  [ 37 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (pow (atan N) 1)))>
* * * * [misc]progress:  [ 38 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (exp (log (atan N)))))>
* [enter]simplify:  Simplifying (log (atan N))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (log (atan N))
* [exit]simplify:  Simplified to (log (atan N))
* * * * [misc]progress:  [ 39 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (log (exp (atan N)))))>
* [enter]simplify:  Simplifying (exp (atan N))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (exp (atan N))
* [exit]simplify:  Simplified to (exp (atan N))
* * * * [misc]progress:  [ 40 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (cube (cbrt (atan N)))))>
* [enter]simplify:  Simplifying (cbrt (atan N))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (atan N))
* [exit]simplify:  Simplified to (cbrt (atan N))
* * * * [misc]progress:  [ 41 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (cbrt (cube (atan N)))))>
* [enter]simplify:  Simplifying (cube (atan N))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (cube (atan N))
* [exit]simplify:  Simplified to (cube (atan N))
* * * * [misc]progress:  [ 42 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (sqr (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (sqrt (atan N))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (atan N))
* [exit]simplify:  Simplified to (sqrt (atan N))
* * * * [misc]progress:  [ 43 / 43 ] simplifiying candidate #<alt-delta (λ (N) (- (atan (+ N 1)) (* 1 (atan N))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (atan2 (- 1 0) (fma N (+ 1 N) 1)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (fma N (+ 1 N) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma N (+ 1 N) 1) in N
* [misc]backup-simplify:  Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1)
* [misc]taylor:  Taking taylor expansion of (fma N (+ 1 N) 1) in N
* [misc]backup-simplify:  Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1)
* [misc]backup-simplify:  Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1)
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N
* [misc]backup-simplify:  Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N
* [misc]backup-simplify:  Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1)
* [misc]backup-simplify:  Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1)
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N
* [misc]backup-simplify:  Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N
* [misc]backup-simplify:  Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
* [misc]backup-simplify:  Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1)
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 25 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (fma N (+ 1 N) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma N (+ 1 N) 1))
* * * * [misc]progress:  [ 2 / 25 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))
* * * * [misc]progress:  [ 3 / 25 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* * * * [misc]progress:  [ 4 / 25 ] simplifiying candidate #<alt-event (λ (N) (atan2 (- 1 0) (fma N (+ 1 N) 1)))>
* [enter]simplify:  Simplifying (atan2 (- 1 0) (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 5 / 25 ] simplifiying candidate #<alt-event (λ (N) (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))>
* [enter]simplify:  Simplifying (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1))
* * * * [misc]progress:  [ 6 / 25 ] simplifiying candidate #<alt-event (λ (N) (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)))>
* [enter]simplify:  Simplifying (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1))
* * * * [misc]progress:  [ 7 / 25 ] simplifiying candidate #<alt-delta (λ (N) (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 8 / 25 ] simplifiying candidate #<alt-delta (λ (N) (expm1 (log1p (atan2 (- 1 0) (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (log1p (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (log1p (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (log1p (atan2 (- 1 0) (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 9 / 25 ] simplifiying candidate #<alt-delta (λ (N) (pow (atan2 (- 1 0) (fma N (+ 1 N) 1)) 1))>
* * * * [misc]progress:  [ 10 / 25 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (atan2 (- 1 0) (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (log (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (log (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (log (atan2 (- 1 0) (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 11 / 25 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (atan2 (- 1 0) (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (exp (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (exp (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (exp (atan2 (- 1 0) (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 12 / 25 ] simplifiying candidate #<alt-delta (λ (N) (cube (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 13 / 25 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (cube (atan2 (- 1 0) (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (cube (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (cube (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (cube (atan2 (- 1 0) (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 14 / 25 ] simplifiying candidate #<alt-delta (λ (N) (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))
* * * * [misc]progress:  [ 15 / 25 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (atan2 (- 1 0) (fma N (+ 1 N) 1))))>
* * * * [misc]progress:  [ 16 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (log1p (expm1 (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (expm1 (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (expm1 (fma N (+ N 1) 1))
* [exit]simplify:  Simplified to (expm1 (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 17 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (expm1 (log1p (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (log1p (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log1p (fma N (+ N 1) 1))
* [exit]simplify:  Simplified to (log1p (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 18 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (+ (* N (+ 1 N)) 1)))>
* [enter]simplify:  Simplifying (* N (+ 1 N))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (fma N N N)
* [exit]simplify:  Simplified to (fma N N N)
* * * * [misc]progress:  [ 19 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (pow (fma N (+ 1 N) 1) 1)))>
* * * * [misc]progress:  [ 20 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (exp (log (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (log (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (fma N (+ N 1) 1))
* [exit]simplify:  Simplified to (log (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 21 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (log (exp (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (exp (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (exp (fma N (+ N 1) 1))
* [exit]simplify:  Simplified to (exp (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 22 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (cube (cbrt (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (cbrt (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (fma N (+ N 1) 1))
* [exit]simplify:  Simplified to (cbrt (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 23 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (cbrt (cube (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (cube (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (cube (fma N (+ N 1) 1))
* [exit]simplify:  Simplified to (cube (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 24 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (sqr (sqrt (fma N (+ 1 N) 1)))))>
* [enter]simplify:  Simplifying (sqrt (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (fma N (+ N 1) 1))
* [exit]simplify:  Simplified to (sqrt (fma N (+ N 1) 1))
* * * * [misc]progress:  [ 25 / 25 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (* 1 (fma N (+ 1 N) 1))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (atan2 (- 1 0) (+ (fma N N N) 1)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma N N N) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma N N N) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma N N N) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
* [misc]approximate:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
* [misc]taylor:  Taking taylor expansion of (atan2 (- 1 0) (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) in N
* [misc]backup-simplify:  Simplify (atan2 (- 1 0) (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
* [misc]backup-simplify:  Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (fma N N N) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (fma N N N) 1) in N
* [misc]taylor:  Taking taylor expansion of (fma N N N) in N
* [misc]backup-simplify:  Simplify (fma N N N) into (fma N N N)
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma N N N) 1) in N
* [misc]taylor:  Taking taylor expansion of (fma N N N) in N
* [misc]backup-simplify:  Simplify (fma N N N) into (fma N N N)
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma N N N) 1) into (+ (fma N N N) 1)
* [misc]backup-simplify:  Simplify (+ (fma N N N) 1) into (+ (fma N N N) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (fma N N N) 1) into (+ (fma N N N) 1)
* [misc]approximate:  Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (fma (/ 1 N) (/ 1 N) (/ 1 N)) into (fma (/ 1 N) (/ 1 N) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (fma (/ 1 N) (/ 1 N) (/ 1 N)) into (fma (/ 1 N) (/ 1 N) (/ 1 N))
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) into (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) into (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) into (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)
* [misc]approximate:  Taking taylor expansion of (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) into (fma (/ -1 N) (/ -1 N) (/ -1 N))
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) 1) in N
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))) into (fma (/ -1 N) (/ -1 N) (/ -1 N))
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) into (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) into (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) into (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 29 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ (fma N N N) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (fma N N N)))
* * * * [misc]progress:  [ 2 / 29 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
* * * * [misc]progress:  [ 3 / 29 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))>
* [enter]simplify:  Simplifying (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
* * * * [misc]progress:  [ 4 / 29 ] simplifiying candidate #<alt-event (λ (N) (atan2 (- 1 0) (+ (fma N N N) 1)))>
* [enter]simplify:  Simplifying (atan2 (- 1 0) (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (atan2 (- 1 0) (+ (fma N N N) 1))
* * * * [misc]progress:  [ 5 / 29 ] simplifiying candidate #<alt-event (λ (N) (atan2 (- 1 0) (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))>
* [enter]simplify:  Simplifying (atan2 (- 1 0) (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (atan2 (- 1 0) (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))
* * * * [misc]progress:  [ 6 / 29 ] simplifiying candidate #<alt-event (λ (N) (atan2 (- 1 0) (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))>
* [enter]simplify:  Simplifying (atan2 (- 1 0) (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (atan2 (- 1 0) (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
* * * * [misc]progress:  [ 7 / 29 ] simplifiying candidate #<alt-delta (λ (N) (log1p (expm1 (atan2 (- 1 0) (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (expm1 (atan2 (- 1 0) (+ (fma N N N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (expm1 (atan2 (- 1 0) (+ (fma N N N) 1)))
* [exit]simplify:  Simplified to (expm1 (atan2 (- 1 0) (+ (fma N N N) 1)))
* * * * [misc]progress:  [ 8 / 29 ] simplifiying candidate #<alt-delta (λ (N) (expm1 (log1p (atan2 (- 1 0) (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (log1p (atan2 (- 1 0) (+ (fma N N N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (log1p (atan2 (- 1 0) (+ (fma N N N) 1)))
* [exit]simplify:  Simplified to (log1p (atan2 (- 1 0) (+ (fma N N N) 1)))
* * * * [misc]progress:  [ 9 / 29 ] simplifiying candidate #<alt-delta (λ (N) (pow (atan2 (- 1 0) (+ (fma N N N) 1)) 1))>
* * * * [misc]progress:  [ 10 / 29 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (atan2 (- 1 0) (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (log (atan2 (- 1 0) (+ (fma N N N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (log (atan2 (- 1 0) (+ (fma N N N) 1)))
* [exit]simplify:  Simplified to (log (atan2 (- 1 0) (+ (fma N N N) 1)))
* * * * [misc]progress:  [ 11 / 29 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (atan2 (- 1 0) (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (exp (atan2 (- 1 0) (+ (fma N N N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (exp (atan2 (- 1 0) (+ (fma N N N) 1)))
* [exit]simplify:  Simplified to (exp (atan2 (- 1 0) (+ (fma N N N) 1)))
* * * * [misc]progress:  [ 12 / 29 ] simplifiying candidate #<alt-delta (λ (N) (cube (cbrt (atan2 (- 1 0) (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (cbrt (atan2 (- 1 0) (+ (fma N N N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (+ (fma N N N) 1)))
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (+ (fma N N N) 1)))
* * * * [misc]progress:  [ 13 / 29 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (cube (atan2 (- 1 0) (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (cube (atan2 (- 1 0) (+ (fma N N N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (cube (atan2 (- 1 0) (+ (fma N N N) 1)))
* [exit]simplify:  Simplified to (cube (atan2 (- 1 0) (+ (fma N N N) 1)))
* * * * [misc]progress:  [ 14 / 29 ] simplifiying candidate #<alt-delta (λ (N) (sqr (sqrt (atan2 (- 1 0) (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (sqrt (atan2 (- 1 0) (+ (fma N N N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (+ (fma N N N) 1)))
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (+ (fma N N N) 1)))
* * * * [misc]progress:  [ 15 / 29 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (atan2 (- 1 0) (+ (fma N N N) 1))))>
* * * * [misc]progress:  [ 16 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (log1p (expm1 (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (expm1 (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (expm1 (+ 1 (fma N N N)))
* [exit]simplify:  Simplified to (expm1 (+ 1 (fma N N N)))
* * * * [misc]progress:  [ 17 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (expm1 (log1p (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (log1p (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log1p (+ 1 (fma N N N)))
* [exit]simplify:  Simplified to (log1p (+ 1 (fma N N N)))
* * * * [misc]progress:  [ 18 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (fma 1 (fma N N N) 1)))>
* * * * [misc]progress:  [ 19 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (pow (+ (fma N N N) 1) 1)))>
* * * * [misc]progress:  [ 20 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (exp (log (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (log (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (log1p (fma N N N))
* [exit]simplify:  Simplified to (log1p (fma N N N))
* * * * [misc]progress:  [ 21 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (log (exp (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (exp (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* (exp (fma N N N)) E)
* [exit]simplify:  Simplified to (* (exp (fma N N N)) E)
* * * * [misc]progress:  [ 22 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (cube (cbrt (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (cbrt (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1 (fma N N N)))
* [exit]simplify:  Simplified to (cbrt (+ 1 (fma N N N)))
* * * * [misc]progress:  [ 23 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (cbrt (cube (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (cube (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (cube (+ 1 (fma N N N)))
* [exit]simplify:  Simplified to (cube (+ 1 (fma N N N)))
* * * * [misc]progress:  [ 24 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (sqr (sqrt (+ (fma N N N) 1)))))>
* [enter]simplify:  Simplifying (sqrt (+ (fma N N N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (fma N N N)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (fma N N N)))
* * * * [misc]progress:  [ 25 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (* 1 (+ (fma N N N) 1))))>
* * * * [misc]progress:  [ 26 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (/ (- (pow (fma N N N) 3) (pow 1 3)) (+ (sqr (fma N N N)) (- (sqr 1) (* (fma N N N) 1))))))>
* [enter]simplify:  Simplifying (- (pow (fma N N N) 3) (pow 1 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (- (cube (fma N N N)) 1)
* [exit]simplify:  Simplified to (- (cube (fma N N N)) 1)
* [enter]simplify:  Simplifying (+ (sqr (fma N N N)) (- (sqr 1) (* (fma N N N) 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (fma (fma N N N) (fma N N N) (- 1 (fma N N N)))
* [exit]simplify:  Simplified to (fma (fma N N N) (fma N N N) (- 1 (fma N N N)))
* * * * [misc]progress:  [ 27 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (/ (- (sqr (fma N N N)) (sqr 1)) (- (fma N N N) 1))))>
* [enter]simplify:  Simplifying (- (sqr (fma N N N)) (sqr 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (- (* (fma N N N) (fma N N N)) 1)
* [exit]simplify:  Simplified to (- (* (fma N N N) (fma N N N)) 1)
* [enter]simplify:  Simplifying (- (fma N N N) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (- (fma N N N) 1)
* [exit]simplify:  Simplified to (- (fma N N N) 1)
* * * * [misc]progress:  [ 28 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (+ (* N N) (+ N 1))))>
* [enter]simplify:  Simplifying (+ N 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ N 1)
* [exit]simplify:  Simplified to (+ N 1)
* * * * [misc]progress:  [ 29 / 29 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- 1 0) (+ 1 (fma N N N))))>
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (sqrt (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ N 1)) (atan N)))
* [enter]simplify:  Simplifying (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [enter]simplify:  Simplifying (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))
* [enter]simplify:  Simplifying (cbrt (fma N (+ 1 N) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (fma N (+ N 1) 1))
* [exit]simplify:  Simplified to (cbrt (fma N (+ N 1) 1))
* [enter]simplify:  Simplifying (log1p (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log1p (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (log1p (- (atan (+ N 1)) (atan N)))