29.235 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.041 * * * [progress]: [2/2] Setting up program.
0.043 * [progress]: [Phase 2 of 3] Improving.
0.043 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.043 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 1.0)) (atan h0))
0.057 * * [progress]: iteration 1 / 4
0.057 * * * [progress]: picking best candidate
0.059 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.059 * * * [progress]: localizing error
0.066 * * * [progress]: generating rewritten candidates
0.066 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.073 * * * [progress]: generating series expansions
0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.073 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.073 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.073 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.073 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.074 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.074 * [taylor]: Taking taylor expansion of (atan N) in N
0.074 * [backup-simplify]: Simplify (atan N) into (atan N)
0.074 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.074 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.074 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.074 * [taylor]: Taking taylor expansion of (atan N) in N
0.074 * [backup-simplify]: Simplify (atan N) into (atan N)
0.074 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.074 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.074 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.075 * [backup-simplify]: Simplify (- 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (- 0) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (- 0) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.078 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.078 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.078 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.078 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.078 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.078 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.078 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.078 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.078 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.078 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.078 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.078 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.078 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.078 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.078 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.079 * [backup-simplify]: Simplify (- 0) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (- 0) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (- 0) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (- 0) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.082 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.082 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.082 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.082 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.082 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.082 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.082 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.082 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.082 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.082 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.082 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.082 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.082 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.082 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.082 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.083 * [backup-simplify]: Simplify (- 0) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (- 0) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (- 0) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (- 0) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (- 0) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (- 0) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.086 * * * [progress]: simplifying candidates
0.087 * [simplify]: Simplifying:
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.087 * [simplify]: Sending expressions to egg_math:
 (- (+ h0 1.0) h0)
 (+ 1 (* (+ h0 1.0) h0))
 (/ (exp (atan (+ h0 1.0))) (exp (atan h0)))
 (log (- (atan (+ h0 1.0)) (atan h0)))
 (exp (- (atan (+ h0 1.0)) (atan h0)))
 (* (cbrt (- (atan (+ h0 1.0)) (atan h0))) (cbrt (- (atan (+ h0 1.0)) (atan h0))))
 (cbrt (- (atan (+ h0 1.0)) (atan h0)))
 (* (* (- (atan (+ h0 1.0)) (atan h0)) (- (atan (+ h0 1.0)) (atan h0))) (- (atan (+ h0 1.0)) (atan h0)))
 (sqrt (- (atan (+ h0 1.0)) (atan h0)))
 (sqrt (- (atan (+ h0 1.0)) (atan h0)))
 (- (pow (atan (+ h0 1.0)) 3) (pow (atan h0) 3))
 (+ (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (+ (* (atan h0) (atan h0)) (* (atan (+ h0 1.0)) (atan h0))))
 (- (atan h0))
 (- (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (* (atan h0) (atan h0)))
 (+ (atan (+ h0 1.0)) (atan h0))
 (+ (sqrt (atan (+ h0 1.0))) (sqrt (atan h0)))
 (- (sqrt (atan (+ h0 1.0))) (sqrt (atan h0)))
 (- (atan (+ h0 1.0)) (atan h0))
 (- (atan h0))
 (- (atan (+ h0 1.0)) (atan h0))
 (- (atan (+ h0 1.0)) (atan h0))
 (- (atan (+ h0 1.0)) (atan h0))
1.233 * * * [progress]: adding candidates to table
1.270 * * [progress]: iteration 2 / 4
1.270 * * * [progress]: picking best candidate
1.277 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
1.277 * * * [progress]: localizing error
1.284 * * * [progress]: generating rewritten candidates
1.284 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
1.285 * * * [progress]: generating series expansions
1.285 * * * * [progress]: [ 1 / 1 ] generating series at (2)
1.285 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.285 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
1.285 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.285 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.285 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.285 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.286 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.286 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.286 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
1.286 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.286 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.286 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.287 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.287 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.288 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.288 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.288 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.288 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.288 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.288 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.289 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify 0 into 0
1.289 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.289 * * * [progress]: simplifying candidates
1.290 * [simplify]: Simplifying:
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.290 * [simplify]: Sending expressions to egg_math:
 (log (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (exp (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
3.083 * * * [progress]: adding candidates to table
3.108 * * [progress]: iteration 3 / 4
3.108 * * * [progress]: picking best candidate
3.113 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>
3.113 * * * [progress]: localizing error
3.124 * * * [progress]: generating rewritten candidates
3.124 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.125 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.141 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
3.143 * * * [progress]: generating series expansions
3.143 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.143 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.143 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
3.143 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
3.143 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
3.144 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.144 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.144 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
3.144 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
3.144 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.144 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.145 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.145 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.146 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.155 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
3.155 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
3.155 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
3.155 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
3.155 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.156 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.156 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
3.156 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
3.156 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.156 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.157 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
3.157 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.157 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.158 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.159 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.160 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.161 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.161 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
3.161 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.161 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.161 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.162 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.162 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.162 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.162 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.162 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.163 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.163 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.165 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.166 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.167 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.167 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.167 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
3.167 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
3.167 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
3.167 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.167 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.168 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
3.168 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
3.168 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.168 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.168 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.168 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.169 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.173 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.175 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
3.175 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
3.175 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
3.175 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
3.175 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.175 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
3.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.176 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
3.176 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
3.176 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.177 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
3.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.177 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
3.177 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.180 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.181 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.181 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
3.181 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.181 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.182 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.182 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.182 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
3.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.182 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.182 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.183 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
3.183 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.184 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.184 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
3.187 * [backup-simplify]: Simplify 0 into 0
3.187 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
3.187 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.187 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.187 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
3.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
3.187 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
3.187 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.188 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.189 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.189 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
3.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
3.189 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.189 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
3.189 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.189 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 0 into 0
3.190 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.190 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.190 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
3.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.190 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.190 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.191 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.191 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
3.191 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.191 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
3.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
3.191 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
3.192 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.192 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.192 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
3.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
3.192 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
3.193 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.193 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.193 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.193 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
3.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.194 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
3.194 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.194 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.194 * * * [progress]: simplifying candidates
3.196 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1)
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
3.196 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (exp (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt 1)
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (exp (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt 1)
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (+ h1 h1)
 (+ h1 (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) h1)
 (+ (/ 1 2) (/ 1 2))
 (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (+ 1 1)
 (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (log (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt 1) (sqrt 1))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* 1 1)
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* 2 h1)
 (* 2 1)
 (* 2 (/ 1 2))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt 1))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) 1)
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (log (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (exp (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
8.221 * * * [progress]: adding candidates to table
8.420 * * [progress]: iteration 4 / 4
8.421 * * * [progress]: picking best candidate
8.444 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3)))>
8.444 * * * [progress]: localizing error
8.473 * * * [progress]: generating rewritten candidates
8.473 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
8.476 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
8.478 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
8.479 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
8.481 * * * [progress]: generating series expansions
8.481 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
8.481 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.481 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
8.481 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
8.481 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
8.481 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.482 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.482 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
8.482 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
8.482 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.483 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.483 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.483 * [backup-simplify]: Simplify 0 into 0
8.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.485 * [backup-simplify]: Simplify 0 into 0
8.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.486 * [backup-simplify]: Simplify 0 into 0
8.487 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.487 * [backup-simplify]: Simplify 0 into 0
8.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.488 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.490 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
8.490 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
8.490 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
8.490 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
8.491 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.491 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
8.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.492 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
8.492 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
8.492 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.492 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
8.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.493 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
8.493 * [backup-simplify]: Simplify 0 into 0
8.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.494 * [backup-simplify]: Simplify 0 into 0
8.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.494 * [backup-simplify]: Simplify 0 into 0
8.495 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.495 * [backup-simplify]: Simplify 0 into 0
8.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.496 * [backup-simplify]: Simplify 0 into 0
8.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.497 * [backup-simplify]: Simplify 0 into 0
8.497 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.497 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
8.497 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
8.497 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
8.497 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
8.497 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.498 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
8.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.498 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
8.498 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
8.498 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.498 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
8.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.499 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
8.499 * [backup-simplify]: Simplify 0 into 0
8.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.499 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.500 * [backup-simplify]: Simplify 0 into 0
8.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.501 * [backup-simplify]: Simplify 0 into 0
8.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.502 * [backup-simplify]: Simplify 0 into 0
8.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.502 * [backup-simplify]: Simplify 0 into 0
8.503 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.503 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
8.503 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.503 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
8.503 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
8.503 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
8.503 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.503 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.503 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
8.503 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
8.503 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.504 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.504 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.504 * [backup-simplify]: Simplify 0 into 0
8.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.505 * [backup-simplify]: Simplify 0 into 0
8.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.505 * [backup-simplify]: Simplify 0 into 0
8.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.506 * [backup-simplify]: Simplify 0 into 0
8.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.507 * [backup-simplify]: Simplify 0 into 0
8.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
8.507 * [backup-simplify]: Simplify 0 into 0
8.508 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.508 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
8.508 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
8.508 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
8.508 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
8.508 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.508 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
8.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.509 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
8.509 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
8.509 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.509 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
8.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.509 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) into (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))
8.509 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.510 * [backup-simplify]: Simplify 0 into 0
8.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.511 * [backup-simplify]: Simplify 0 into 0
8.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.512 * [backup-simplify]: Simplify 0 into 0
8.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.512 * [backup-simplify]: Simplify 0 into 0
8.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
8.513 * [backup-simplify]: Simplify 0 into 0
8.514 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.514 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
8.514 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
8.514 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
8.514 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
8.515 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.515 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
8.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.516 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
8.516 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
8.516 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.516 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
8.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.517 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) into (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))
8.517 * [backup-simplify]: Simplify 0 into 0
8.518 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.518 * [backup-simplify]: Simplify 0 into 0
8.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.520 * [backup-simplify]: Simplify 0 into 0
8.521 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.521 * [backup-simplify]: Simplify 0 into 0
8.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.522 * [backup-simplify]: Simplify 0 into 0
8.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
8.524 * [backup-simplify]: Simplify 0 into 0
8.524 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N))))))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
8.524 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
8.524 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.525 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
8.525 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
8.525 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.525 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
8.525 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.526 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.527 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.527 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
8.527 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
8.527 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.527 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
8.527 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.528 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.528 * [backup-simplify]: Simplify 0 into 0
8.528 * [backup-simplify]: Simplify 0 into 0
8.528 * [backup-simplify]: Simplify 0 into 0
8.528 * [backup-simplify]: Simplify 0 into 0
8.528 * [backup-simplify]: Simplify 0 into 0
8.528 * [backup-simplify]: Simplify 0 into 0
8.528 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.529 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.529 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
8.529 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
8.529 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.529 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
8.530 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.530 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify 0 into 0
8.531 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.531 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
8.531 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.531 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
8.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
8.531 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
8.532 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.532 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify 0 into 0
8.532 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.533 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.533 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
8.533 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
8.533 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.533 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
8.533 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.533 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) into (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 0 into 0
8.534 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 (/ 1 (/ 1 N))) (+ (/ 1 (pow (/ 1 N) 2)) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.534 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.534 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
8.534 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
8.534 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.534 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
8.534 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.535 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify 0 into 0
8.535 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.535 * * * [progress]: simplifying candidates
8.536 * [simplify]: Simplifying:
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))
  (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt 1)
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (log (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
  (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
8.536 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (exp (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt 1)
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (log (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (exp (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (* (* (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))) (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))))
 (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt 1)
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (/ 1 2)
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (log (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (exp (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (log (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (exp (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))))
 (cbrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (* (* (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))) (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ 1 (* (+ h0 1.0) h0))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (sqrt (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1))))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
 (atan2 1.0 (+ (pow h0 2) (+ (* 1.0 h0) 1)))
9.098 * * * [progress]: adding candidates to table
9.295 * [progress]: [Phase 3 of 3] Extracting.
9.295 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3)))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (* (* (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))>)
9.298 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N)
9.298 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3)))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (* (* (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))>)
9.324 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3)))> #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))))> #<alt (λ (N) (* (* (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))>)
9.357 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
9.357 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
9.357 * [simplify]: Sending expressions to egg_math:
 (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))
11.039 * [regime-testing]: Baseline error score: 0.3859038366685326
11.041 * [regime-testing]: Oracle error score: 0.3453256440818691
11.045 * [regime-testing]: End program error score: 0.3859038366685326
11.074 * [regime-testing]: Target error score: 0.38733089473820115