24.621 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.045 * * * [progress]: [2/2] Setting up program.
0.051 * [progress]: [Phase 2 of 3] Improving.
0.051 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.051 * * [simplify]: iteration 0: 6 enodes
0.053 * * [simplify]: iteration 1: 9 enodes
0.054 * * [simplify]: iteration 2: 10 enodes
0.057 * * [simplify]: iteration complete: 10 enodes
0.057 * * [simplify]: Extracting #0: cost 1 inf + 0
0.057 * * [simplify]: Extracting #1: cost 4 inf + 0
0.057 * * [simplify]: Extracting #2: cost 6 inf + 0
0.057 * * [simplify]: Extracting #3: cost 6 inf + 1
0.057 * * [simplify]: Extracting #4: cost 0 inf + 735
0.057 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.058 * * [progress]: iteration 1 / 4
0.058 * * * [progress]: picking best candidate
0.064 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.065 * * * [progress]: localizing error
0.082 * * * [progress]: generating rewritten candidates
0.082 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.096 * * * [progress]: generating series expansions
0.096 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.096 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.096 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.096 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.097 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.097 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.097 * [taylor]: Taking taylor expansion of (atan N) in N
0.097 * [backup-simplify]: Simplify (atan N) into (atan N)
0.097 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.097 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.097 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.097 * [taylor]: Taking taylor expansion of (atan N) in N
0.097 * [backup-simplify]: Simplify (atan N) into (atan N)
0.098 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.098 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.098 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.099 * [backup-simplify]: Simplify (- 0) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (- 0) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (- 0) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (- 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify (- 0) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (- 0) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.104 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.104 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.104 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.104 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.104 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.104 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.104 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.105 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.105 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.105 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.105 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.105 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.105 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.105 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.106 * [backup-simplify]: Simplify (- 0) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (- 0) into 0
0.107 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.111 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.111 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.111 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.111 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.111 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.111 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.111 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.111 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.112 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.112 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.112 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.112 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.112 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.112 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.113 * [backup-simplify]: Simplify (- 0) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (- 0) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (- 0) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (- 0) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (- 0) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- 0) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.117 * * * [progress]: simplifying candidates
0.118 * [simplify]: Simplifying:
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))))
  (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))
  (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N)))))
  (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))
  (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1)))
  (fma (- (atan N)) 1 (* (atan N) 1))
  (expm1 (- (atan (+ N 1.0)) (atan N)))
  (log1p (- (atan (+ N 1.0)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  (- (+ N 1.0) N)
  (+ 1 (* (+ N 1.0) N))
  (/ (exp (atan (+ N 1.0))) (exp (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
0.120 * * [simplify]: iteration 0: 62 enodes
0.160 * * [simplify]: iteration 1: 136 enodes
0.213 * * [simplify]: iteration 2: 287 enodes
0.368 * * [simplify]: iteration 3: 737 enodes
0.809 * * [simplify]: iteration 4: 2162 enodes
2.135 * * [simplify]: iteration complete: 5000 enodes
2.135 * * [simplify]: Extracting #0: cost 19 inf + 0
2.136 * * [simplify]: Extracting #1: cost 272 inf + 2
2.143 * * [simplify]: Extracting #2: cost 914 inf + 2028
2.164 * * [simplify]: Extracting #3: cost 1027 inf + 44906
2.192 * * [simplify]: Extracting #4: cost 595 inf + 265111
2.291 * * [simplify]: Extracting #5: cost 54 inf + 542902
2.376 * * [simplify]: Extracting #6: cost 0 inf + 576098
2.465 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (expm1 (- (atan (+ 1.0 N)) (atan N)))
  (log1p (- (atan (+ 1.0 N)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1.0
  (fma N (+ 1.0 N) 1)
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (log (- (atan (+ 1.0 N)) (atan N)))
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N))))
  (cbrt (- (atan (+ 1.0 N)) (atan N)))
  (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N))))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (* (atan (+ 1.0 N)) (* (atan (+ 1.0 N)) (atan (+ 1.0 N)))) (* (* (atan N) (atan N)) (atan N)))
  (fma (atan N) (atan N) (* (atan (+ 1.0 N)) (+ (atan (+ 1.0 N)) (atan N))))
  (- (atan N))
  (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N)))
  (+ (atan (+ 1.0 N)) (atan N))
  (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
2.468 * * * [progress]: adding candidates to table
2.595 * * [progress]: iteration 2 / 4
2.595 * * * [progress]: picking best candidate
2.601 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>
2.602 * * * [progress]: localizing error
2.617 * * * [progress]: generating rewritten candidates
2.617 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
2.618 * * * [progress]: generating series expansions
2.618 * * * * [progress]: [ 1 / 1 ] generating series at (2)
2.618 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.618 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
2.618 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
2.618 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.618 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
2.618 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.618 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.618 * [backup-simplify]: Simplify 0 into 0
2.618 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.619 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
2.619 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
2.619 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
2.619 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
2.619 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
2.619 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
2.620 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.620 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
2.620 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
2.620 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
2.621 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
2.621 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
2.621 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
2.621 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
2.622 * * * [progress]: simplifying candidates
2.622 * [simplify]: Simplifying:
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
2.622 * * [simplify]: iteration 0: 18 enodes
2.627 * * [simplify]: iteration 1: 25 enodes
2.631 * * [simplify]: iteration 2: 37 enodes
2.637 * * [simplify]: iteration 3: 61 enodes
2.644 * * [simplify]: iteration 4: 82 enodes
2.654 * * [simplify]: iteration 5: 101 enodes
2.673 * * [simplify]: iteration 6: 131 enodes
2.705 * * [simplify]: iteration 7: 205 enodes
2.769 * * [simplify]: iteration 8: 427 enodes
3.075 * * [simplify]: iteration 9: 1219 enodes
4.774 * * [simplify]: iteration complete: 5001 enodes
4.774 * * [simplify]: Extracting #0: cost 9 inf + 0
4.774 * * [simplify]: Extracting #1: cost 219 inf + 0
4.779 * * [simplify]: Extracting #2: cost 1288 inf + 4
4.784 * * [simplify]: Extracting #3: cost 1346 inf + 283
4.795 * * [simplify]: Extracting #4: cost 1326 inf + 17995
4.859 * * [simplify]: Extracting #5: cost 768 inf + 552117
5.068 * * [simplify]: Extracting #6: cost 32 inf + 1394555
5.237 * * [simplify]: Extracting #7: cost 0 inf + 1425476
5.391 * [simplify]: Simplified to:
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
5.391 * * * [progress]: adding candidates to table
5.433 * * [progress]: iteration 3 / 4
5.433 * * * [progress]: picking best candidate
5.445 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))>
5.445 * * * [progress]: localizing error
5.461 * * * [progress]: generating rewritten candidates
5.461 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
5.462 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
5.463 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
5.482 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
5.486 * * * [progress]: generating series expansions
5.486 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.486 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.486 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
5.486 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
5.486 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.487 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.487 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.487 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
5.487 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.487 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.487 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.488 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.488 * [backup-simplify]: Simplify 0 into 0
5.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.489 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.490 * [backup-simplify]: Simplify 0 into 0
5.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.491 * [backup-simplify]: Simplify 0 into 0
5.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.492 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.493 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.493 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.494 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
5.494 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
5.494 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.494 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.494 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.494 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
5.494 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.494 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.495 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.495 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.495 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.496 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.497 * [backup-simplify]: Simplify 0 into 0
5.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.498 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.501 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.502 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.502 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
5.502 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
5.502 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.502 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.502 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.502 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
5.502 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.502 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.503 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.503 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.503 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.504 * [backup-simplify]: Simplify 0 into 0
5.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.505 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.506 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.507 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.509 * [backup-simplify]: Simplify 0 into 0
5.509 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.509 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
5.509 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.509 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
5.509 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
5.509 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.509 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.509 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.510 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
5.510 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.510 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.510 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.510 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.510 * [backup-simplify]: Simplify 0 into 0
5.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.511 * [backup-simplify]: Simplify 0 into 0
5.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.512 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.513 * [backup-simplify]: Simplify 0 into 0
5.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.514 * [backup-simplify]: Simplify 0 into 0
5.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
5.515 * [backup-simplify]: Simplify 0 into 0
5.515 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.515 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.515 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
5.515 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
5.515 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.515 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.516 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.516 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
5.516 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.516 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.516 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.517 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
5.517 * [backup-simplify]: Simplify 0 into 0
5.518 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.518 * [backup-simplify]: Simplify 0 into 0
5.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.519 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.520 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.522 * [backup-simplify]: Simplify 0 into 0
5.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
5.523 * [backup-simplify]: Simplify 0 into 0
5.523 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.523 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.523 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
5.523 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
5.524 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.524 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.524 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.524 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
5.524 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.524 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.525 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.525 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
5.525 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.526 * [backup-simplify]: Simplify 0 into 0
5.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.527 * [backup-simplify]: Simplify 0 into 0
5.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.528 * [backup-simplify]: Simplify 0 into 0
5.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.529 * [backup-simplify]: Simplify 0 into 0
5.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
5.530 * [backup-simplify]: Simplify 0 into 0
5.530 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
5.530 * * * * [progress]: [ 3 / 4 ] generating series at (2)
5.530 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.530 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
5.530 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.530 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.530 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.530 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.531 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.531 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.531 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
5.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.531 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.531 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.531 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.531 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.532 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.532 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
5.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.532 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.532 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.532 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.533 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
5.533 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.533 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
5.533 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.533 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.533 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
5.533 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.533 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.534 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.534 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
5.534 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.534 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.534 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
5.534 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.534 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.534 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.534 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
5.535 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.535 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.535 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
5.535 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.535 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
5.536 * * * [progress]: simplifying candidates
5.537 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (log (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (exp (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
5.539 * * [simplify]: iteration 0: 67 enodes
5.558 * * [simplify]: iteration 1: 122 enodes
5.593 * * [simplify]: iteration 2: 252 enodes
5.690 * * [simplify]: iteration 3: 669 enodes
6.799 * * [simplify]: iteration 4: 3998 enodes
8.327 * * [simplify]: iteration complete: 5000 enodes
8.327 * * [simplify]: Extracting #0: cost 28 inf + 0
8.329 * * [simplify]: Extracting #1: cost 393 inf + 3
8.333 * * [simplify]: Extracting #2: cost 889 inf + 156
8.343 * * [simplify]: Extracting #3: cost 917 inf + 342
8.348 * * [simplify]: Extracting #4: cost 894 inf + 3966
8.359 * * [simplify]: Extracting #5: cost 758 inf + 55364
8.411 * * [simplify]: Extracting #6: cost 232 inf + 287875
8.499 * * [simplify]: Extracting #7: cost 7 inf + 393955
8.589 * * [simplify]: Extracting #8: cost 0 inf + 397508
8.680 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  1
  2
  1
  1
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  2
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  2
  1
  (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
8.685 * * * [progress]: adding candidates to table
8.955 * * [progress]: iteration 4 / 4
8.955 * * * [progress]: picking best candidate
8.970 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))>
8.970 * * * [progress]: localizing error
8.998 * * * [progress]: generating rewritten candidates
8.998 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
9.002 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
9.003 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
9.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
9.005 * * * [progress]: generating series expansions
9.005 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
9.005 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.005 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
9.005 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.005 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.006 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.006 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.006 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.006 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.006 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.006 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.006 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.006 * [backup-simplify]: Simplify 0 into 0
9.007 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.007 * [backup-simplify]: Simplify 0 into 0
9.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.008 * [backup-simplify]: Simplify 0 into 0
9.008 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.008 * [backup-simplify]: Simplify 0 into 0
9.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.009 * [backup-simplify]: Simplify 0 into 0
9.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.009 * [backup-simplify]: Simplify 0 into 0
9.010 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.010 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.010 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
9.010 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.010 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.010 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.010 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.010 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.010 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.010 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.010 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.011 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.011 * [backup-simplify]: Simplify 0 into 0
9.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.011 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.012 * [backup-simplify]: Simplify 0 into 0
9.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.013 * [backup-simplify]: Simplify 0 into 0
9.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.013 * [backup-simplify]: Simplify 0 into 0
9.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.014 * [backup-simplify]: Simplify 0 into 0
9.014 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.014 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.014 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
9.014 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.014 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.014 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.015 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.015 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.015 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.015 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.015 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.015 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.015 * [backup-simplify]: Simplify 0 into 0
9.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.016 * [backup-simplify]: Simplify 0 into 0
9.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.016 * [backup-simplify]: Simplify 0 into 0
9.017 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.017 * [backup-simplify]: Simplify 0 into 0
9.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.018 * [backup-simplify]: Simplify 0 into 0
9.018 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.018 * [backup-simplify]: Simplify 0 into 0
9.019 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.019 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
9.019 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.019 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
9.019 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.019 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.019 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.019 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.019 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.019 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.019 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.019 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.019 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.020 * [backup-simplify]: Simplify 0 into 0
9.020 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.020 * [backup-simplify]: Simplify 0 into 0
9.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.021 * [backup-simplify]: Simplify 0 into 0
9.021 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.021 * [backup-simplify]: Simplify 0 into 0
9.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.022 * [backup-simplify]: Simplify 0 into 0
9.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.022 * [backup-simplify]: Simplify 0 into 0
9.023 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.023 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.023 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
9.023 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.023 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.023 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.023 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.023 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.023 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.023 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.023 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.024 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.024 * [backup-simplify]: Simplify 0 into 0
9.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.024 * [backup-simplify]: Simplify 0 into 0
9.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.025 * [backup-simplify]: Simplify 0 into 0
9.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.025 * [backup-simplify]: Simplify 0 into 0
9.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.026 * [backup-simplify]: Simplify 0 into 0
9.027 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.027 * [backup-simplify]: Simplify 0 into 0
9.027 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.027 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.027 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
9.027 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.027 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.027 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.027 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.027 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.027 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.028 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.028 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.028 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.028 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.029 * [backup-simplify]: Simplify 0 into 0
9.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.029 * [backup-simplify]: Simplify 0 into 0
9.030 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.030 * [backup-simplify]: Simplify 0 into 0
9.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.030 * [backup-simplify]: Simplify 0 into 0
9.031 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.031 * [backup-simplify]: Simplify 0 into 0
9.031 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.031 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
9.031 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.031 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
9.031 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.032 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.032 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.032 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.032 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.032 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.032 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.032 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.032 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.032 * [backup-simplify]: Simplify 0 into 0
9.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.033 * [backup-simplify]: Simplify 0 into 0
9.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.033 * [backup-simplify]: Simplify 0 into 0
9.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.034 * [backup-simplify]: Simplify 0 into 0
9.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.035 * [backup-simplify]: Simplify 0 into 0
9.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.035 * [backup-simplify]: Simplify 0 into 0
9.035 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.035 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.035 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
9.036 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.036 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.036 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.036 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.036 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.036 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.036 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.036 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.036 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.036 * [backup-simplify]: Simplify 0 into 0
9.037 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.037 * [backup-simplify]: Simplify 0 into 0
9.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.038 * [backup-simplify]: Simplify 0 into 0
9.038 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.038 * [backup-simplify]: Simplify 0 into 0
9.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.039 * [backup-simplify]: Simplify 0 into 0
9.040 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.040 * [backup-simplify]: Simplify 0 into 0
9.040 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.040 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.040 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
9.040 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.040 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.040 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.040 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.040 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.040 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.040 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.041 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.041 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.041 * [backup-simplify]: Simplify 0 into 0
9.041 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.041 * [backup-simplify]: Simplify 0 into 0
9.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.042 * [backup-simplify]: Simplify 0 into 0
9.043 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.043 * [backup-simplify]: Simplify 0 into 0
9.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.043 * [backup-simplify]: Simplify 0 into 0
9.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.044 * [backup-simplify]: Simplify 0 into 0
9.044 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.044 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
9.044 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.044 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
9.044 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.045 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.045 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.045 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.045 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.045 * [backup-simplify]: Simplify 0 into 0
9.045 * [backup-simplify]: Simplify 0 into 0
9.045 * [backup-simplify]: Simplify 0 into 0
9.045 * [backup-simplify]: Simplify 0 into 0
9.045 * [backup-simplify]: Simplify 0 into 0
9.045 * [backup-simplify]: Simplify 0 into 0
9.045 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.045 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.045 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
9.045 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.045 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.045 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.045 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.046 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.046 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.046 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
9.046 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.046 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.046 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.046 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.046 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.046 * [backup-simplify]: Simplify 0 into 0
9.047 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.047 * * * [progress]: simplifying candidates
9.047 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
9.048 * * [simplify]: iteration 0: 33 enodes
9.053 * * [simplify]: iteration 1: 46 enodes
9.060 * * [simplify]: iteration 2: 69 enodes
9.070 * * [simplify]: iteration 3: 106 enodes
9.085 * * [simplify]: iteration 4: 151 enodes
9.114 * * [simplify]: iteration 5: 256 enodes
9.177 * * [simplify]: iteration 6: 608 enodes
9.414 * * [simplify]: iteration 7: 1528 enodes
10.548 * * [simplify]: iteration complete: 5000 enodes
10.548 * * [simplify]: Extracting #0: cost 21 inf + 0
10.551 * * [simplify]: Extracting #1: cost 325 inf + 2
10.558 * * [simplify]: Extracting #2: cost 1229 inf + 8
10.570 * * [simplify]: Extracting #3: cost 1324 inf + 1827
10.582 * * [simplify]: Extracting #4: cost 1239 inf + 10742
10.602 * * [simplify]: Extracting #5: cost 902 inf + 180848
10.679 * * [simplify]: Extracting #6: cost 195 inf + 740840
10.793 * * [simplify]: Extracting #7: cost 29 inf + 887927
10.921 * * [simplify]: Extracting #8: cost 0 inf + 914245
11.053 * * [simplify]: Extracting #9: cost 0 inf + 913613
11.183 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
11.187 * * * [progress]: adding candidates to table
11.427 * [progress]: [Phase 3 of 3] Extracting.
11.427 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (cbrt (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))))> #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>)
11.430 * * * [regime-changes]: Trying 1 branch expressions: (N)
11.430 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (cbrt (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))))> #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))> #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>)
11.469 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
11.469 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ 1.0 N) 1))
11.469 * * [simplify]: iteration 0: 6 enodes
11.469 * * [simplify]: iteration 1: 9 enodes
11.470 * * [simplify]: iteration complete: 9 enodes
11.470 * * [simplify]: Extracting #0: cost 1 inf + 0
11.470 * * [simplify]: Extracting #1: cost 3 inf + 0
11.470 * * [simplify]: Extracting #2: cost 5 inf + 1
11.470 * * [simplify]: Extracting #3: cost 0 inf + 381
11.470 * [simplify]: Simplified to:
  (atan2 1.0 (fma N (+ N 1.0) 1))
13.370 * [regime-testing]: Baseline error score: 0.3360248972193198
13.383 * [regime-testing]: Oracle error score: 0.2967699903559619
13.407 * [regime-testing]: End program error score: 0.3360248972193198
13.522 * [regime-testing]: Target error score: 0.33777511599666693