11.624 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.031 * [simplify]: Sending expressions to egg_math:
 (- (atan (+ h0 1.0)) (atan h0))
0.044 * * [progress]: iteration 1 / 4
0.044 * * * [progress]: picking best candidate
0.046 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.046 * * * [progress]: localizing error
0.052 * * * [progress]: generating rewritten candidates
0.052 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.058 * * * [progress]: generating series expansions
0.058 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.058 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.058 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.058 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.058 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.058 * [taylor]: Taking taylor expansion of (atan N) in N
0.059 * [backup-simplify]: Simplify (atan N) into (atan N)
0.059 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.059 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.059 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.059 * [taylor]: Taking taylor expansion of (atan N) in N
0.059 * [backup-simplify]: Simplify (atan N) into (atan N)
0.059 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.059 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.059 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.059 * [backup-simplify]: Simplify (- 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (- 0) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (- 0) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (- 0) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.062 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.062 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.062 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.062 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.062 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.062 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.062 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.062 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.062 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.062 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.062 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.062 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.063 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.063 * [backup-simplify]: Simplify (- 0) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (- 0) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (- 0) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (- 0) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.065 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.065 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.066 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.066 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.066 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.066 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.066 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.066 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.066 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.066 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.066 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.066 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.066 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.066 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.066 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.066 * [backup-simplify]: Simplify (- 0) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (- 0) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify (- 0) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.069 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.069 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.069 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.069 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.069 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.069 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.069 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.069 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.070 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.070 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.070 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.070 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.070 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.070 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.070 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.070 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.070 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.070 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.071 * * * [progress]: simplifying candidates
0.071 * [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))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.071 * [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))
 (log (atan (+ h0 1.0)))
 (exp (atan (+ h0 1.0)))
 (* (cbrt (atan (+ h0 1.0))) (cbrt (atan (+ h0 1.0))))
 (cbrt (atan (+ h0 1.0)))
 (* (* (atan (+ h0 1.0)) (atan (+ h0 1.0))) (atan (+ h0 1.0)))
 (sqrt (atan (+ h0 1.0)))
 (sqrt (atan (+ h0 1.0)))
 (- (atan (+ h0 1.0)) (atan h0))
 (- (atan (+ h0 1.0)) (atan h0))
 (- (atan (+ h0 1.0)) (atan h0))
 (atan (+ h0 1.0))
 (atan (+ h0 1.0))
 (atan (+ h0 1.0))
0.788 * * * [progress]: adding candidates to table
0.841 * * [progress]: iteration 2 / 4
0.841 * * * [progress]: picking best candidate
0.842 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))>
0.842 * * * [progress]: localizing error
0.848 * * * [progress]: generating rewritten candidates
0.848 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.848 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2)
0.871 * * * [progress]: generating series expansions
0.871 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.871 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.871 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
0.871 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.871 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.871 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
0.871 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.872 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
0.872 * [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)))
0.872 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
0.872 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.872 * [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)))
0.872 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
0.872 * [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)))
0.873 * [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)))
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [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)))
0.873 * [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))))
0.873 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
0.873 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.873 * [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))))
0.873 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
0.873 * [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))))
0.874 * [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))))
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [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)))
0.874 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2)
0.874 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
0.874 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
0.874 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.874 * [taylor]: Taking taylor expansion of N in N
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 1 into 1
0.874 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.874 * [taylor]: Taking taylor expansion of N in N
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 1 into 1
0.874 * [taylor]: Taking taylor expansion of 1.0 in N
0.874 * [backup-simplify]: Simplify 1.0 into 1.0
0.874 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
0.874 * [taylor]: Taking taylor expansion of N in N
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 1 into 1
0.874 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
0.874 * [taylor]: Taking taylor expansion of N in N
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 1 into 1
0.874 * [taylor]: Taking taylor expansion of 1.0 in N
0.874 * [backup-simplify]: Simplify 1.0 into 1.0
0.875 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.875 * [backup-simplify]: Simplify (* 0 1.0) into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify (+ 1 0) into 1
0.876 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
0.876 * [backup-simplify]: Simplify 1.0 into 1.0
0.876 * [backup-simplify]: Simplify (+ 0 0) into 0
0.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
0.877 * [backup-simplify]: Simplify 1 into 1
0.877 * [backup-simplify]: Simplify (+ 0 0) into 0
0.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify (+ 0 0) into 0
0.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify (+ 0 0) into 0
0.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify (+ 0 0) into 0
0.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
0.881 * [backup-simplify]: Simplify 0 into 0
0.881 * [backup-simplify]: Simplify (+ 0 0) into 0
0.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify (+ 0 0) into 0
0.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (pow N 2) (* 1.0 N))
0.884 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
0.884 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
0.884 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.884 * [taylor]: Taking taylor expansion of N in N
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 1 into 1
0.884 * [backup-simplify]: Simplify (/ 1 1) into 1
0.884 * [taylor]: Taking taylor expansion of 1.0 in N
0.884 * [backup-simplify]: Simplify 1.0 into 1.0
0.884 * [taylor]: Taking taylor expansion of N in N
0.884 * [backup-simplify]: Simplify 0 into 0
0.884 * [backup-simplify]: Simplify 1 into 1
0.885 * [backup-simplify]: Simplify (+ 1 0) into 1
0.885 * [backup-simplify]: Simplify (/ 1 1) into 1
0.885 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
0.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.885 * [taylor]: Taking taylor expansion of N in N
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.885 * [backup-simplify]: Simplify (/ 1 1) into 1
0.885 * [taylor]: Taking taylor expansion of 1.0 in N
0.885 * [backup-simplify]: Simplify 1.0 into 1.0
0.885 * [taylor]: Taking taylor expansion of N in N
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.885 * [backup-simplify]: Simplify (+ 1 0) into 1
0.886 * [backup-simplify]: Simplify (/ 1 1) into 1
0.886 * [backup-simplify]: Simplify 1 into 1
0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.886 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.887 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
0.887 * [backup-simplify]: Simplify 1.0 into 1.0
0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.888 * [backup-simplify]: Simplify (+ 0 0) into 0
0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
0.889 * [backup-simplify]: Simplify 0 into 0
0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.889 * [backup-simplify]: Simplify (+ 0 0) into 0
0.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.891 * [backup-simplify]: Simplify (+ 0 0) into 0
0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.891 * [backup-simplify]: Simplify 0 into 0
0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.892 * [backup-simplify]: Simplify (+ 0 0) into 0
0.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.892 * [backup-simplify]: Simplify 0 into 0
0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.893 * [backup-simplify]: Simplify (+ 0 0) into 0
0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.895 * [backup-simplify]: Simplify (+ 0 0) into 0
0.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) (* 1.0 N))
0.895 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
0.895 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
0.895 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.895 * [taylor]: Taking taylor expansion of -1 in N
0.896 * [backup-simplify]: Simplify -1 into -1
0.896 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.896 * [taylor]: Taking taylor expansion of 1.0 in N
0.896 * [backup-simplify]: Simplify 1.0 into 1.0
0.896 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.896 * [taylor]: Taking taylor expansion of N in N
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 1 into 1
0.896 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [taylor]: Taking taylor expansion of N in N
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 1 into 1
0.896 * [backup-simplify]: Simplify (- 1) into -1
0.896 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.897 * [backup-simplify]: Simplify (/ -1 1) into -1
0.897 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
0.897 * [taylor]: Taking taylor expansion of -1 in N
0.897 * [backup-simplify]: Simplify -1 into -1
0.897 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
0.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
0.897 * [taylor]: Taking taylor expansion of 1.0 in N
0.897 * [backup-simplify]: Simplify 1.0 into 1.0
0.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N
0.897 * [taylor]: Taking taylor expansion of N in N
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 1 into 1
0.897 * [backup-simplify]: Simplify (/ 1 1) into 1
0.897 * [taylor]: Taking taylor expansion of N in N
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 1 into 1
0.897 * [backup-simplify]: Simplify (- 1) into -1
0.897 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.898 * [backup-simplify]: Simplify (/ -1 1) into -1
0.898 * [backup-simplify]: Simplify (* -1 -1) into 1
0.898 * [backup-simplify]: Simplify 1 into 1
0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.899 * [backup-simplify]: Simplify (- 0) into 0
0.899 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.900 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
0.901 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
0.901 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (- 0) into 0
0.902 * [backup-simplify]: Simplify (+ 0 0) into 0
0.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
0.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.904 * [backup-simplify]: Simplify (- 0) into 0
0.904 * [backup-simplify]: Simplify (+ 0 0) into 0
0.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
0.905 * [backup-simplify]: Simplify 0 into 0
0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.906 * [backup-simplify]: Simplify (- 0) into 0
0.906 * [backup-simplify]: Simplify (+ 0 0) into 0
0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.907 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
0.907 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.908 * [backup-simplify]: Simplify (- 0) into 0
0.908 * [backup-simplify]: Simplify (+ 0 0) into 0
0.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.910 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
0.910 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.911 * [backup-simplify]: Simplify (- 0) into 0
0.911 * [backup-simplify]: Simplify (+ 0 0) into 0
0.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.913 * [backup-simplify]: Simplify (- 0) into 0
0.913 * [backup-simplify]: Simplify (+ 0 0) into 0
0.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
0.915 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) (* 1.0 N))
0.915 * * * [progress]: simplifying candidates
0.916 * [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))))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 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)))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
  (+ (pow N 2) (* 1.0 N))
0.916 * [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))))
 (* (+ h0 1.0) h0)
 (+ (log (+ h0 1.0)) (log h0))
 (log (* (+ h0 1.0) h0))
 (exp (* (+ h0 1.0) h0))
 (* (* (* (+ h0 1.0) (+ h0 1.0)) (+ h0 1.0)) (* (* h0 h0) h0))
 (* (cbrt (* (+ h0 1.0) h0)) (cbrt (* (+ h0 1.0) h0)))
 (cbrt (* (+ h0 1.0) h0))
 (* (* (* (+ h0 1.0) h0) (* (+ h0 1.0) h0)) (* (+ h0 1.0) h0))
 (sqrt (* (+ h0 1.0) h0))
 (sqrt (* (+ h0 1.0) h0))
 (* (sqrt (+ h0 1.0)) (sqrt h0))
 (* (sqrt (+ h0 1.0)) (sqrt h0))
 (* (+ h0 1.0) (* (cbrt h0) (cbrt h0)))
 (* (+ h0 1.0) (sqrt h0))
 (* (+ h0 1.0) 1)
 (* (cbrt (+ h0 1.0)) h0)
 (* (sqrt (+ h0 1.0)) h0)
 (* (+ h0 1.0) h0)
 (* (+ h0 1.0) h0)
 (* (+ (pow h0 3) (pow 1.0 3)) h0)
 (* (- (* h0 h0) (* 1.0 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)))
 (+ (pow h0 2) (* 1.0 h0))
 (+ (pow h0 2) (* 1.0 h0))
 (+ (pow h0 2) (* 1.0 h0))
1.435 * * * [progress]: adding candidates to table
1.484 * * [progress]: iteration 3 / 4
1.484 * * * [progress]: picking best candidate
1.493 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))>
1.493 * * * [progress]: localizing error
1.505 * * * [progress]: generating rewritten candidates
1.505 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.507 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.519 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
1.521 * * * [progress]: generating series expansions
1.521 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.521 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
1.521 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
1.521 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
1.521 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.521 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.522 * [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))))
1.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.522 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
1.522 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.522 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.522 * [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))))
1.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.522 * [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))))
1.522 * [backup-simplify]: Simplify 0 into 0
1.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.523 * [backup-simplify]: Simplify 0 into 0
1.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.524 * [backup-simplify]: Simplify 0 into 0
1.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.525 * [backup-simplify]: Simplify 0 into 0
1.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.525 * [backup-simplify]: Simplify 0 into 0
1.526 * [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
1.526 * [backup-simplify]: Simplify 0 into 0
1.526 * [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))))
1.526 * [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))))
1.526 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
1.526 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
1.526 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.526 * [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)))
1.527 * [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))))
1.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
1.527 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
1.527 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.527 * [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)))
1.527 * [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))))
1.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
1.528 * [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))))
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
1.529 * [backup-simplify]: Simplify 0 into 0
1.530 * [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
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [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
1.530 * [backup-simplify]: Simplify 0 into 0
1.531 * [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
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [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))))
1.531 * [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)))))
1.531 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
1.531 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
1.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.532 * [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))))
1.532 * [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)))))
1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.532 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
1.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.532 * [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))))
1.532 * [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)))))
1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.533 * [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)))))
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.533 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.535 * [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
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [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
1.535 * [backup-simplify]: Simplify 0 into 0
1.536 * [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
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [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))))
1.536 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.536 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
1.536 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
1.536 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
1.536 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.537 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.537 * [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))))
1.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
1.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.537 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.537 * [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))))
1.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.538 * [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))))
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.538 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.539 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
1.540 * [backup-simplify]: Simplify 0 into 0
1.541 * [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
1.541 * [backup-simplify]: Simplify 0 into 0
1.541 * [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))))
1.541 * [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))))
1.541 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
1.541 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
1.541 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.541 * [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)))
1.541 * [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))))
1.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
1.542 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
1.542 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.542 * [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)))
1.542 * [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))))
1.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
1.542 * [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))))
1.542 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
1.543 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [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
1.544 * [backup-simplify]: Simplify 0 into 0
1.545 * [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
1.545 * [backup-simplify]: Simplify 0 into 0
1.546 * [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
1.546 * [backup-simplify]: Simplify 0 into 0
1.546 * [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))))
1.546 * [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)))))
1.546 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
1.546 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
1.546 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.546 * [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))))
1.547 * [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)))))
1.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.547 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
1.547 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.547 * [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))))
1.547 * [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)))))
1.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.548 * [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)))))
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.548 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
1.549 * [backup-simplify]: Simplify 0 into 0
1.549 * [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
1.549 * [backup-simplify]: Simplify 0 into 0
1.550 * [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
1.550 * [backup-simplify]: Simplify 0 into 0
1.551 * [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
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [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))))
1.551 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.551 * [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)))
1.551 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
1.551 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.551 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.552 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.552 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.552 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.552 * [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)))
1.552 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
1.552 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.553 * [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)))
1.553 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.553 * [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)))
1.553 * [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)))
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [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)))
1.554 * [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))))
1.554 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.554 * [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))))
1.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.554 * [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))))
1.554 * [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))))
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [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)))
1.555 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
1.555 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.555 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
1.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.555 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
1.555 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.555 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
1.556 * [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)))
1.556 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
1.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.556 * [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)))
1.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
1.556 * [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)))
1.556 * [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)))
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [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)))
1.557 * [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))))
1.557 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
1.557 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.557 * [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))))
1.557 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
1.557 * [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))))
1.557 * [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))))
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [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)))
1.558 * * * [progress]: simplifying candidates
1.559 * [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)))
1.559 * [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)))))
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 1 2) (/ 1 2))
 (+ 1 1)
 (+ (/ 1 2) (/ 1 2))
 (+ (/ 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 (/ 1 2))
 (* 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)))
5.418 * * * [progress]: adding candidates to table
5.538 * * [progress]: iteration 4 / 4
5.538 * * * [progress]: picking best candidate
5.550 * * * * [pick]: Picked  #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))>
5.550 * * * [progress]: localizing error
5.563 * * * [progress]: generating rewritten candidates
5.564 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
5.565 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
5.566 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
5.566 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
5.567 * * * [progress]: generating series expansions
5.567 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
5.567 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.567 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
5.567 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
5.567 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.567 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.567 * [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))))
5.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.567 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
5.567 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.568 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.568 * [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))))
5.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.568 * [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))))
5.568 * [backup-simplify]: Simplify 0 into 0
5.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.569 * [backup-simplify]: Simplify 0 into 0
5.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.569 * [backup-simplify]: Simplify 0 into 0
5.570 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.570 * [backup-simplify]: Simplify 0 into 0
5.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.571 * [backup-simplify]: Simplify 0 into 0
5.571 * [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
5.571 * [backup-simplify]: Simplify 0 into 0
5.572 * [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))))
5.572 * [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))))
5.572 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
5.572 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
5.572 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.572 * [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)))
5.572 * [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))))
5.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.572 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
5.572 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.573 * [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)))
5.573 * [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))))
5.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.573 * [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))))
5.573 * [backup-simplify]: Simplify 0 into 0
5.574 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.574 * [backup-simplify]: Simplify 0 into 0
5.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.574 * [backup-simplify]: Simplify 0 into 0
5.575 * [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
5.575 * [backup-simplify]: Simplify 0 into 0
5.576 * [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
5.576 * [backup-simplify]: Simplify 0 into 0
5.576 * [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
5.576 * [backup-simplify]: Simplify 0 into 0
5.577 * [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))))
5.577 * [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)))))
5.577 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
5.577 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
5.577 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.577 * [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))))
5.577 * [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)))))
5.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.577 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
5.578 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.578 * [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))))
5.578 * [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)))))
5.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.578 * [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)))))
5.578 * [backup-simplify]: Simplify 0 into 0
5.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.579 * [backup-simplify]: Simplify 0 into 0
5.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.579 * [backup-simplify]: Simplify 0 into 0
5.580 * [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
5.580 * [backup-simplify]: Simplify 0 into 0
5.581 * [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
5.581 * [backup-simplify]: Simplify 0 into 0
5.582 * [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
5.582 * [backup-simplify]: Simplify 0 into 0
5.582 * [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))))
5.582 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
5.582 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) into (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))
5.582 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0
5.582 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
5.582 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.582 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.582 * [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))))
5.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.582 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N
5.582 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.583 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.583 * [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))))
5.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.583 * [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))))
5.583 * [backup-simplify]: Simplify 0 into 0
5.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.584 * [backup-simplify]: Simplify 0 into 0
5.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.584 * [backup-simplify]: Simplify 0 into 0
5.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.585 * [backup-simplify]: Simplify 0 into 0
5.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) into 0
5.586 * [backup-simplify]: Simplify 0 into 0
5.586 * [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
5.586 * [backup-simplify]: Simplify 0 into 0
5.586 * [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))))
5.587 * [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))))
5.587 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0
5.587 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
5.587 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.587 * [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)))
5.587 * [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))))
5.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.587 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N
5.587 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.587 * [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)))
5.588 * [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))))
5.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.588 * [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))))
5.588 * [backup-simplify]: Simplify 0 into 0
5.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.589 * [backup-simplify]: Simplify 0 into 0
5.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) into 0
5.589 * [backup-simplify]: Simplify 0 into 0
5.590 * [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
5.590 * [backup-simplify]: Simplify 0 into 0
5.590 * [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
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [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
5.591 * [backup-simplify]: Simplify 0 into 0
5.595 * [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))))
5.595 * [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)))))
5.595 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0
5.595 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
5.595 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.596 * [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))))
5.596 * [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)))))
5.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.596 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N
5.596 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.596 * [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))))
5.596 * [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)))))
5.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.597 * [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)))))
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.597 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) into 0
5.598 * [backup-simplify]: Simplify 0 into 0
5.599 * [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
5.599 * [backup-simplify]: Simplify 0 into 0
5.599 * [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
5.599 * [backup-simplify]: Simplify 0 into 0
5.600 * [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
5.600 * [backup-simplify]: Simplify 0 into 0
5.600 * [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))))
5.600 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
5.600 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.600 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
5.600 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.601 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.601 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.601 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.601 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.602 * [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)))
5.602 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
5.602 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.602 * [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)))
5.602 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.602 * [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)))
5.602 * [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)))
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [backup-simplify]: Simplify 0 into 0
5.602 * [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)))
5.603 * [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))))
5.603 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
5.603 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.603 * [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))))
5.603 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.603 * [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))))
5.603 * [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))))
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [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)))
5.604 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
5.604 * [backup-simplify]: Simplify (atan2 1.0 (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.604 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0
5.604 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.604 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.604 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N
5.604 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.604 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) into (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))
5.605 * [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)))
5.605 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0
5.605 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.605 * [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)))
5.605 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N
5.605 * [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)))
5.605 * [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)))
5.605 * [backup-simplify]: Simplify 0 into 0
5.605 * [backup-simplify]: Simplify 0 into 0
5.605 * [backup-simplify]: Simplify 0 into 0
5.605 * [backup-simplify]: Simplify 0 into 0
5.605 * [backup-simplify]: Simplify 0 into 0
5.605 * [backup-simplify]: Simplify 0 into 0
5.605 * [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)))
5.606 * [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))))
5.606 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
5.606 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.606 * [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))))
5.606 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
5.606 * [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))))
5.606 * [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))))
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [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)))
5.607 * * * [progress]: simplifying candidates
5.607 * [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)))
5.607 * [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)))
6.037 * * * [progress]: adding candidates to table
6.166 * [progress]: [Phase 3 of 3] Extracting.
6.166 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (* (* (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)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<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)))))))> #<alt (λ (N) (* (pow (sqrt (cbrt (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 3))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))>)
6.167 * * * [regime-changes]: Trying 1 branch expressions: (N)
6.167 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (* (* (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)))))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (/ (* (+ (pow N 3) (pow 1.0 3)) N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))))> #<alt (λ (N) (atan2 1.0 (+ 1 (* (sqrt (+ N 1.0)) (* (sqrt (+ N 1.0)) N)))))> #<alt (λ (N) (cbrt (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3)))> #<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)))))))> #<alt (λ (N) (* (pow (sqrt (cbrt (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 3))) 3) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))>)
6.197 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
6.197 * [simplify]: Simplifying:
  (atan2 1.0 (+ 1 (* (+ N 1.0) N)))
6.197 * [simplify]: Sending expressions to egg_math:
 (atan2 1.0 (+ 1 (* (+ h0 1.0) h0)))
7.805 * [regime-testing]: Baseline error score: 0.413665092443583
7.807 * [regime-testing]: Oracle error score: 0.3632106653276033
7.810 * [regime-testing]: End program error score: 0.413665092443583
7.832 * [regime-testing]: Target error score: 0.41586348755556224