* [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 (+ 1 N)) (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 / 1 ] 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:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 17 ] 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 (+ N 1)) (atan N))
* * * * [misc]progress:  [ 2 / 17 ] 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 / 17 ] 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 / 17 ] 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 (17 enodes)
* [exit]simplify:  Simplified to (+ 1 (+ N (* N N)))
* [exit]simplify:  Simplified to (+ 1 (+ N (* N N)))
* * * * [misc]progress:  [ 5 / 17 ] 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 (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 6 / 17 ] simplifiying candidate #<alt-delta (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
* * * * [misc]progress:  [ 7 / 17 ] 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 (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (log (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 8 / 17 ] 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 (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 9 / 17 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
* [exit]simplify:  Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (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 (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (cbrt (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 10 / 17 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3)
* [exit]simplify:  Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3)
* * * * [misc]progress:  [ 11 / 17 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (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 (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ 1 N)) (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 (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 12 / 17 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (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 (18 enodes)
* [exit]simplify:  Simplified to (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3))
* [exit]simplify:  Simplified to (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3))
* [enter]simplify:  Simplifying (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (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 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N)))
* [exit]simplify:  Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N)))
* * * * [misc]progress:  [ 13 / 17 ] 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:  [ 14 / 17 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 15 / 17 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N)))
* [exit]simplify:  Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (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 (+ 1 N)) (atan N))
* [exit]simplify:  Simplified to (+ (atan (+ 1 N)) (atan N))
* * * * [misc]progress:  [ 16 / 17 ] 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 (+ 1 N))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (+ (sqrt (atan (+ 1 N))) (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 (+ 1 N))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * * * [misc]progress:  [ 17 / 17 ] 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 (+ 1 N)) (atan N))
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (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) (+ 1 (* (+ N 1) N))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]taylor:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) 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 (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]taylor:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 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 (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]approximate:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 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 (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 10 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 2 / 10 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ 1 (/ 1 N)) (/ 1 (* N N))))
* * * * [misc]progress:  [ 3 / 10 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))>
* [enter]simplify:  Simplifying (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (- 1 (/ 1 N)) (/ 1 (* N N))))
* * * * [misc]progress:  [ 4 / 10 ] simplifiying candidate #<alt-delta (λ (N) (pow (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) 1))>
* * * * [misc]progress:  [ 5 / 10 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (log (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ 1 (+ (* N N) N))))
* * * * [misc]progress:  [ 6 / 10 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (exp (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ 1 (+ (* N N) N))))
* * * * [misc]progress:  [ 7 / 10 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))) (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ 1 (+ (* N N) N))))
* * * * [misc]progress:  [ 8 / 10 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (* (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3)
* * * * [misc]progress:  [ 9 / 10 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (sqrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* [enter]simplify:  Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* * * * [misc]progress:  [ 10 / 10 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) 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 (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 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 (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 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 (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ (* N N) N) 1))
* * * * [misc]progress:  [ 2 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (/ 1 (* N N)) (+ (/ 1 N) 1)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * * * [misc]progress:  [ 3 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (/ 1 (* N N)) (- 1 (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 4 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ (* N N) N) 1))
* * * * [misc]progress:  [ 5 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ (+ 1 (/ 1 N)) (/ 1 (* N N))))))
* * * * [misc]progress:  [ 6 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (sqrt (atan2 1 (- (/ 1 (* N N)) (- (/ 1 N) 1)))))
* * * * [misc]progress:  [ 7 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 8 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ 1 (/ 1 N)) (/ 1 (* N N))))
* * * * [misc]progress:  [ 9 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))>
* [enter]simplify:  Simplifying (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (- 1 (/ 1 N)) (/ 1 (* N N))))
* * * * [misc]progress:  [ 10 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ (* N N) N) 1))
* * * * [misc]progress:  [ 11 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (/ 1 (* N N)) (+ (/ 1 N) 1)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * * * [misc]progress:  [ 12 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (/ 1 (* N N)) (- 1 (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 13 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (pow (atan2 1 (+ 1 (+ (* N N) N))) 1/2)))>
* * * * [misc]progress:  [ 14 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (pow (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) 1)))>
* * * * [misc]progress:  [ 15 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (exp (log (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 16 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (log (exp (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 17 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 18 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 19 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 20 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 21 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N)))
* * * * [misc]progress:  [ 22 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 23 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (fabs (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* * * * [misc]progress:  [ 24 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* 1 (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* * * * [misc]progress:  [ 25 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (atan2 1 (+ 1 (+ (* N N) N))) 1/2) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* * * * [misc]progress:  [ 26 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) 1) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* * * * [misc]progress:  [ 27 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 28 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 29 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 30 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 31 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 32 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 33 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N)))
* * * * [misc]progress:  [ 34 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 35 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* * * * [misc]progress:  [ 36 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* * * * [misc]progress:  [ 37 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (atan2 1 (+ 1 (+ (* N N) N))) (+ 1/2 1/2)))>
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* * * * [misc]progress:  [ 38 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 39 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))) 1/2))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ 1 (* N N)) N)) (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ 1 (* N N)) N)) (atan2 1 (+ (+ 1 (* N N)) N)))
* * * * [misc]progress:  [ 40 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (+ (* N N) N)))
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (+ (* N N) N)))
* * * * [misc]progress:  [ 41 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) 2))>
* * * * [misc]progress:  [ 42 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 43 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) 1))>
* * * * [misc]progress:  [ 44 / 72 ] simplifiying candidate #<alt-delta (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (log (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (log (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))
* * * * [misc]progress:  [ 45 / 72 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ 1 (+ N (* N N)))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 46 / 72 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ 1 (+ N (* N N)))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 47 / 72 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ 1 (+ N (* N N)))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ 1 (+ N (* N N)))) 3)
* * * * [misc]progress:  [ 48 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ 1 (+ N (* N N)))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 49 / 72 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ 1 (+ N (* N N)))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ 1 (+ N (* N N)))) 3)
* * * * [misc]progress:  [ 50 / 72 ] simplifiying candidate #<alt-delta (λ (N) (sqrt (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ 1 (* N N)) N)) (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ 1 (* N N)) N)) (atan2 1 (+ (+ 1 (* N N)) N)))
* * * * [misc]progress:  [ 51 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* * * * [misc]progress:  [ 52 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* * * * [misc]progress:  [ 53 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * * * [misc]progress:  [ 54 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N)))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N)))))))
* * * * [misc]progress:  [ 55 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 56 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 57 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 58 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) 1) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* * * * [misc]progress:  [ 59 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 60 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * * * [misc]progress:  [ 61 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 62 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (+ (* N N) N)))
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (+ (* N N) N)))
* * * * [misc]progress:  [ 63 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* * * * [misc]progress:  [ 64 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (+ (* N N) N)))
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (+ (* N N) N)))
* * * * [misc]progress:  [ 65 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))>
* * * * [misc]progress:  [ 66 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (pow (atan2 1 (+ 1 (+ (* N N) N))) 1))))>
* * * * [misc]progress:  [ 67 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (exp (log (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (log (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ 1 (* N N)) N)))
* * * * [misc]progress:  [ 68 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (log (exp (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (exp (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ 1 (* N N)) N)))
* * * * [misc]progress:  [ 69 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (cbrt (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ 1 (* N N)) N)))
* * * * [misc]progress:  [ 70 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))) (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (* (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))) (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3)
* * * * [misc]progress:  [ 71 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N)))
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (+ (* N N) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N)))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N)))
* * * * [misc]progress:  [ 72 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (* 1 (atan2 1 (+ 1 (+ (* N N) N)))))))>
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))))> #<alt-delta (λ (N) (* (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))> #<alt-delta (λ (N) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 N +inf.0)) , with alts (#<alt-delta (λ (N) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))>)
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ N (* N N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (+ N (* N N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* [enter]simplify:  Simplifying (cbrt (atan2 1 (+ 1 (+ N (* N N)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (* N N) (+ N 1))))
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (* N N) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (+ (* N N) N)))
* [exit]simplify:  Simplified to (atan2 1 (+ 1 (+ (* N N) N)))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N))))))