* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 2
* * * [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 (+ 1 N)) (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)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (+ (+ N (* N N)) 1)
* [exit]simplify:  Simplified to (+ (+ N (* N N)) 1)
* * * * [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 (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (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 (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (log (- (atan (+ N 1)) (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 (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 9 / 17 ] simplifiying candidate #<alt-delta (λ (N) (cube (cbrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (cbrt (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (cbrt (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 10 / 17 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (cube (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (cube (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (cube (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (cube (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 11 / 17 ] simplifiying candidate #<alt-delta (λ (N) (sqr (sqrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (sqrt (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- (atan (+ N 1)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ N 1)) (atan N)))
* * * * [misc]progress:  [ 12 / 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:  [ 13 / 17 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 14 / 17 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (sqr (atan (+ N 1))) (+ (sqr (atan N)) (* (atan (+ N 1)) (atan N))))))>
* [enter]simplify:  Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (- (cube (atan (+ N 1))) (cube (atan N)))
* [exit]simplify:  Simplified to (- (cube (atan (+ N 1))) (cube (atan N)))
* [enter]simplify:  Simplifying (+ (sqr (atan (+ N 1))) (+ (sqr (atan N)) (* (atan (+ N 1)) (atan N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (+ (* (atan (+ N 1)) (atan (+ N 1))) (* (+ (atan N) (atan (+ N 1))) (atan N)))
* [exit]simplify:  Simplified to (+ (* (atan (+ N 1)) (atan (+ N 1))) (* (+ (atan N) (atan (+ N 1))) (atan N)))
* * * * [misc]progress:  [ 15 / 17 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (sqr (atan (+ N 1))) (sqr (atan N))) (+ (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (sqr (atan (+ N 1))) (sqr (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
* [exit]simplify:  Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
* [enter]simplify:  Simplifying (+ (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (atan N) (atan (+ N 1)))
* [exit]simplify:  Simplified to (+ (atan N) (atan (+ N 1)))
* * * * [misc]progress:  [ 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 (+ N 1))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * * * [misc]progress:  [ 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 (+ N 1)) (atan N))
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 2
* * * [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 (+ N (sqr 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 (+ N (sqr N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ N (sqr N)))) into (atan2 1 (+ 1 (+ N (sqr 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 (+ N (sqr N)))) into (atan2 1 (+ 1 (+ N (sqr 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 N) (/ 1 (sqr 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 N) (/ 1 (sqr N)))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 N) (/ 1 (sqr N))))) into (atan2 1 (+ 1 (+ (/ 1 N) (/ 1 (sqr 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 N) (/ 1 (sqr N))))) into (atan2 1 (+ 1 (+ (/ 1 N) (/ 1 (sqr 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 (sqr N))) (/ 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 (sqr N))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (sqr N))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (sqr N))) (/ 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 (sqr N))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (sqr N))) (/ 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 (+ N (sqr N)))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ N (sqr N))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ 1 N) (* N N)))
* * * * [misc]progress:  [ 2 / 10 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (/ 1 N) (/ 1 (sqr N))))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (/ 1 N) (/ 1 (sqr N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 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 (sqr N))) (/ 1 N))))>
* [enter]simplify:  Simplifying (atan2 1 (- (+ 1 (/ 1 (sqr N))) (/ 1 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 (20 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (atan2 1 (- (/ 1 (* N N)) (- (/ 1 N) 1)))
* * * * [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)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (log (atan2 (- 1 0) (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (log (atan2 (- 1 0) (+ 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)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (exp (atan2 (- 1 0) (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (exp (atan2 (- 1 0) (+ 1 (+ (* N N) N))))
* * * * [misc]progress:  [ 7 / 10 ] simplifiying candidate #<alt-delta (λ (N) (cube (cbrt (atan2 (- 1 0) (+ 1 (* (+ N 1) 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)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (+ 1 (+ (* N N) N))))
* * * * [misc]progress:  [ 8 / 10 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (cube (atan2 (- 1 0) (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (cube (atan2 (- 1 0) (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (cube (atan2 (- 1 0) (+ 1 (+ N (* N N)))))
* [exit]simplify:  Simplified to (cube (atan2 (- 1 0) (+ 1 (+ N (* N N)))))
* * * * [misc]progress:  [ 9 / 10 ] simplifiying candidate #<alt-delta (λ (N) (sqr (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)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (+ 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:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (N) (sqr (sqrt (atan2 (- 1 0) (+ 1 (* (+ N 1) N))))))> #<alt-delta (λ (N) (atan2 (- 1 0) (+ 1 (* (+ N 1) N))))> #<alt-delta (λ (N) (cube (cbrt (atan2 (- 1 0) (+ 1 (* (+ N 1) 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 (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)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (sqrt (atan2 (- 1 0) (+ 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)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (+ 1 (+ (* N N) N))))
* [exit]simplify:  Simplified to (cbrt (atan2 (- 1 0) (+ 1 (+ (* N N) N))))