107.531 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.064 * * * [progress]: [2/2] Setting up program.
0.071 * [progress]: [Phase 2 of 3] Improving.
0.071 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.071 * * [simplify]: iteration 0: 6 enodes
0.073 * * [simplify]: iteration 1: 9 enodes
0.076 * * [simplify]: iteration 2: 10 enodes
0.080 * * [simplify]: iteration complete: 10 enodes
0.080 * * [simplify]: Extracting #0: cost 1 inf + 0
0.080 * * [simplify]: Extracting #1: cost 4 inf + 0
0.080 * * [simplify]: Extracting #2: cost 6 inf + 0
0.080 * * [simplify]: Extracting #3: cost 6 inf + 1
0.080 * * [simplify]: Extracting #4: cost 2 inf + 296
0.080 * * [simplify]: Extracting #5: cost 0 inf + 735
0.080 * [simplify]: Simplified to:
  (- (atan (+ N 1.0)) (atan N))
0.081 * * [progress]: iteration 1 / 4
0.081 * * * [progress]: picking best candidate
0.085 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.085 * * * [progress]: localizing error
0.119 * * * [progress]: generating rewritten candidates
0.119 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.133 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.138 * * * [progress]: generating series expansions
0.138 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.138 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.138 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.138 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.138 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.139 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.139 * [taylor]: Taking taylor expansion of (atan N) in N
0.139 * [backup-simplify]: Simplify (atan N) into (atan N)
0.139 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.139 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.139 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.139 * [taylor]: Taking taylor expansion of (atan N) in N
0.139 * [backup-simplify]: Simplify (atan N) into (atan N)
0.139 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.139 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.140 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.140 * [backup-simplify]: Simplify (- 0) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (- 0) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (- 0) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify (- 0) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (- 0) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (- 0) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.146 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.146 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.146 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.146 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.146 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.146 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.146 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.146 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.146 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.147 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.147 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.147 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.147 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.147 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.147 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.148 * [backup-simplify]: Simplify (- 0) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (- 0) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (- 0) into 0
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (- 0) into 0
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (- 0) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (- 0) into 0
0.152 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.153 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.153 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.153 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.153 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.153 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.153 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.153 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.153 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.153 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.153 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.153 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.153 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.153 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.154 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.154 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.154 * [backup-simplify]: Simplify (- 0) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify (- 0) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (- 0) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify (- 0) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (- 0) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (- 0) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.159 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.160 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.160 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.160 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.160 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.160 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.160 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.160 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.160 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.161 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.161 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.161 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.161 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.161 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.161 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.162 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.162 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.162 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.162 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.162 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.162 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.162 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.163 * * * [progress]: simplifying candidates
0.164 * [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))
  (expm1 (atan (+ N 1.0)))
  (log1p (atan (+ N 1.0)))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
0.166 * * [simplify]: iteration 0: 66 enodes
0.196 * * [simplify]: iteration 1: 139 enodes
0.288 * * [simplify]: iteration 2: 286 enodes
0.513 * * [simplify]: iteration 3: 725 enodes
1.381 * * [simplify]: iteration 4: 2122 enodes
3.860 * * [simplify]: iteration complete: 5001 enodes
3.861 * * [simplify]: Extracting #0: cost 28 inf + 0
3.863 * * [simplify]: Extracting #1: cost 324 inf + 2
3.872 * * [simplify]: Extracting #2: cost 917 inf + 3644
3.902 * * [simplify]: Extracting #3: cost 890 inf + 117679
4.011 * * [simplify]: Extracting #4: cost 219 inf + 486082
4.154 * * [simplify]: Extracting #5: cost 15 inf + 582670
4.277 * * [simplify]: Extracting #6: cost 0 inf + 588275
4.410 * [simplify]: Simplified to:
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (expm1 (- (atan (+ N 1.0)) (atan N)))
  (log1p (- (atan (+ N 1.0)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1.0
  (fma N (+ N 1.0) 1)
  (exp (- (atan (+ N 1.0)) (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)))
  (- (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (* (atan N) (* (atan N) (atan N))))
  (fma (atan N) (+ (atan (+ N 1.0)) (atan N)) (* (atan (+ N 1.0)) (atan (+ N 1.0))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan N)) (sqrt (atan (+ N 1.0))))
  (- (sqrt (atan (+ N 1.0))) (sqrt (atan N)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan N))
  (expm1 (atan (+ N 1.0)))
  (log1p (atan (+ N 1.0)))
  (log (atan (+ N 1.0)))
  (exp (atan (+ N 1.0)))
  (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0))))
  (cbrt (atan (+ N 1.0)))
  (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (sqrt (atan (+ N 1.0)))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (- (atan (+ N 1.0)) (atan N))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
  (atan (+ N 1.0))
4.413 * * * [progress]: adding candidates to table
4.635 * * [progress]: iteration 2 / 4
4.635 * * * [progress]: picking best candidate
4.648 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>
4.648 * * * [progress]: localizing error
4.664 * * * [progress]: generating rewritten candidates
4.664 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.665 * * * [progress]: generating series expansions
4.665 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.666 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.666 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
4.666 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.666 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.666 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.666 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.666 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.667 * [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))
4.667 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
4.667 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.667 * [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))
4.667 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.667 * [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))
4.668 * [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))
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [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))
4.669 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.669 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
4.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.669 * [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))
4.669 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.669 * [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))
4.669 * [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))
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [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))
4.670 * * * [progress]: simplifying candidates
4.671 * [simplify]: Simplifying:
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (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)))
  (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))
4.671 * * [simplify]: iteration 0: 15 enodes
4.676 * * [simplify]: iteration 1: 21 enodes
4.684 * * [simplify]: iteration 2: 32 enodes
4.705 * * [simplify]: iteration 3: 56 enodes
4.725 * * [simplify]: iteration 4: 77 enodes
4.751 * * [simplify]: iteration 5: 97 enodes
4.780 * * [simplify]: iteration 6: 127 enodes
4.822 * * [simplify]: iteration 7: 194 enodes
4.935 * * [simplify]: iteration 8: 422 enodes
5.672 * * [simplify]: iteration 9: 1339 enodes
8.470 * * [simplify]: iteration complete: 5001 enodes
8.470 * * [simplify]: Extracting #0: cost 9 inf + 0
8.471 * * [simplify]: Extracting #1: cost 223 inf + 0
8.479 * * [simplify]: Extracting #2: cost 1457 inf + 4
8.491 * * [simplify]: Extracting #3: cost 1637 inf + 101
8.505 * * [simplify]: Extracting #4: cost 1662 inf + 842
8.522 * * [simplify]: Extracting #5: cost 1552 inf + 33138
8.640 * * [simplify]: Extracting #6: cost 837 inf + 796763
8.898 * * [simplify]: Extracting #7: cost 27 inf + 1734377
9.278 * * [simplify]: Extracting #8: cost 0 inf + 1759096
9.596 * * [simplify]: Extracting #9: cost 0 inf + 1758099
9.919 * [simplify]: Simplified to:
  (expm1 (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log1p (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (exp (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
9.920 * * * [progress]: adding candidates to table
9.993 * * [progress]: iteration 3 / 4
9.994 * * * [progress]: picking best candidate
10.028 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))>
10.028 * * * [progress]: localizing error
10.062 * * * [progress]: generating rewritten candidates
10.063 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
10.066 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
10.069 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
10.083 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
10.086 * * * [progress]: generating series expansions
10.086 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
10.086 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.086 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
10.086 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.086 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.086 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.086 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.087 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.087 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.087 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.087 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.087 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.087 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.088 * [backup-simplify]: Simplify 0 into 0
10.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.089 * [backup-simplify]: Simplify 0 into 0
10.090 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.090 * [backup-simplify]: Simplify 0 into 0
10.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.091 * [backup-simplify]: Simplify 0 into 0
10.092 * [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
10.092 * [backup-simplify]: Simplify 0 into 0
10.092 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.092 * [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)))
10.092 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
10.092 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.092 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.093 * [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))
10.093 * [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)))
10.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.093 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.093 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.093 * [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))
10.093 * [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)))
10.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.093 * [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)))
10.093 * [backup-simplify]: Simplify 0 into 0
10.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.094 * [backup-simplify]: Simplify 0 into 0
10.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.095 * [backup-simplify]: Simplify 0 into 0
10.097 * [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
10.097 * [backup-simplify]: Simplify 0 into 0
10.098 * [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
10.098 * [backup-simplify]: Simplify 0 into 0
10.099 * [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
10.099 * [backup-simplify]: Simplify 0 into 0
10.099 * [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)))
10.100 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.100 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
10.100 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.100 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.100 * [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))
10.100 * [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)))
10.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.100 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.100 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.101 * [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))
10.101 * [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)))
10.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.101 * [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)))
10.101 * [backup-simplify]: Simplify 0 into 0
10.102 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.102 * [backup-simplify]: Simplify 0 into 0
10.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.103 * [backup-simplify]: Simplify 0 into 0
10.103 * [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
10.103 * [backup-simplify]: Simplify 0 into 0
10.104 * [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
10.104 * [backup-simplify]: Simplify 0 into 0
10.105 * [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
10.105 * [backup-simplify]: Simplify 0 into 0
10.106 * [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)))
10.106 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
10.106 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.106 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
10.106 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.106 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.106 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.106 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.106 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.106 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.107 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.107 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.107 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.107 * [backup-simplify]: Simplify 0 into 0
10.108 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.108 * [backup-simplify]: Simplify 0 into 0
10.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.109 * [backup-simplify]: Simplify 0 into 0
10.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.110 * [backup-simplify]: Simplify 0 into 0
10.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.111 * [backup-simplify]: Simplify 0 into 0
10.112 * [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
10.112 * [backup-simplify]: Simplify 0 into 0
10.112 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.113 * [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)))
10.113 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
10.113 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.113 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.113 * [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))
10.113 * [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)))
10.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.114 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.114 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.114 * [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))
10.114 * [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)))
10.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.115 * [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)))
10.115 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.116 * [backup-simplify]: Simplify 0 into 0
10.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.117 * [backup-simplify]: Simplify 0 into 0
10.118 * [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
10.118 * [backup-simplify]: Simplify 0 into 0
10.119 * [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
10.119 * [backup-simplify]: Simplify 0 into 0
10.120 * [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
10.120 * [backup-simplify]: Simplify 0 into 0
10.120 * [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)))
10.121 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.121 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
10.121 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.121 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.121 * [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))
10.121 * [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)))
10.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.121 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.122 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.122 * [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))
10.122 * [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)))
10.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.122 * [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)))
10.123 * [backup-simplify]: Simplify 0 into 0
10.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.124 * [backup-simplify]: Simplify 0 into 0
10.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.125 * [backup-simplify]: Simplify 0 into 0
10.126 * [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
10.126 * [backup-simplify]: Simplify 0 into 0
10.127 * [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
10.127 * [backup-simplify]: Simplify 0 into 0
10.128 * [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
10.128 * [backup-simplify]: Simplify 0 into 0
10.128 * [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)))
10.128 * * * * [progress]: [ 3 / 4 ] generating series at (2)
10.129 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.129 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
10.129 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.129 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.129 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.129 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.129 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 0 into 0
10.130 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.130 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.130 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
10.130 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.130 * [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))
10.130 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.130 * [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))
10.131 * [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))
10.131 * [backup-simplify]: Simplify 0 into 0
10.131 * [backup-simplify]: Simplify 0 into 0
10.131 * [backup-simplify]: Simplify 0 into 0
10.131 * [backup-simplify]: Simplify 0 into 0
10.131 * [backup-simplify]: Simplify 0 into 0
10.131 * [backup-simplify]: Simplify 0 into 0
10.131 * [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))
10.132 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.132 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
10.132 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.132 * [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))
10.132 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.132 * [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))
10.132 * [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))
10.132 * [backup-simplify]: Simplify 0 into 0
10.132 * [backup-simplify]: Simplify 0 into 0
10.133 * [backup-simplify]: Simplify 0 into 0
10.133 * [backup-simplify]: Simplify 0 into 0
10.133 * [backup-simplify]: Simplify 0 into 0
10.133 * [backup-simplify]: Simplify 0 into 0
10.133 * [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))
10.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
10.133 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.133 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
10.133 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.133 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.133 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.133 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.134 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.134 * [backup-simplify]: Simplify 0 into 0
10.134 * [backup-simplify]: Simplify 0 into 0
10.134 * [backup-simplify]: Simplify 0 into 0
10.134 * [backup-simplify]: Simplify 0 into 0
10.134 * [backup-simplify]: Simplify 0 into 0
10.134 * [backup-simplify]: Simplify 0 into 0
10.134 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.134 * [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))
10.134 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
10.134 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.134 * [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))
10.134 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.135 * [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))
10.135 * [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))
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [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))
10.136 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.136 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
10.136 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.136 * [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))
10.136 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.136 * [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))
10.136 * [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))
10.136 * [backup-simplify]: Simplify 0 into 0
10.136 * [backup-simplify]: Simplify 0 into 0
10.136 * [backup-simplify]: Simplify 0 into 0
10.136 * [backup-simplify]: Simplify 0 into 0
10.137 * [backup-simplify]: Simplify 0 into 0
10.137 * [backup-simplify]: Simplify 0 into 0
10.137 * [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))
10.137 * * * [progress]: simplifying candidates
10.139 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (fma N (+ N 1.0) 1)) (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)))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (exp (* (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)))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (cbrt (* (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)))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (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 (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))))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (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)))
  (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))
  (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))
10.142 * * [simplify]: iteration 0: 63 enodes
10.184 * * [simplify]: iteration 1: 117 enodes
10.256 * * [simplify]: iteration 2: 239 enodes
10.482 * * [simplify]: iteration 3: 650 enodes
13.087 * * [simplify]: iteration 4: 4053 enodes
18.829 * * [simplify]: iteration complete: 5000 enodes
18.829 * * [simplify]: Extracting #0: cost 28 inf + 0
18.832 * * [simplify]: Extracting #1: cost 400 inf + 3
18.840 * * [simplify]: Extracting #2: cost 930 inf + 155
18.851 * * [simplify]: Extracting #3: cost 956 inf + 397
18.869 * * [simplify]: Extracting #4: cost 929 inf + 6805
18.890 * * [simplify]: Extracting #5: cost 805 inf + 53487
18.965 * * [simplify]: Extracting #6: cost 332 inf + 260006
19.129 * * [simplify]: Extracting #7: cost 17 inf + 409333
19.314 * * [simplify]: Extracting #8: cost 0 inf + 417436
19.496 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (fabs (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (fabs (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (expm1 (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log1p (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1
  1
  2
  1
  1
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  2
  (log (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (exp (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (* (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1
  2
  1
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (* (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (fabs (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (* (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (sqrt (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (* (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (expm1 (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log1p (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (exp (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
19.507 * * * [progress]: adding candidates to table
20.086 * * [progress]: iteration 4 / 4
20.086 * * * [progress]: picking best candidate
20.132 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))>
20.132 * * * [progress]: localizing error
20.179 * * * [progress]: generating rewritten candidates
20.179 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
20.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
20.185 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
20.189 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
20.311 * * * [progress]: generating series expansions
20.312 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
20.312 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.312 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
20.312 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
20.312 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
20.312 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.312 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.313 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
20.313 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
20.313 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.313 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.314 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.314 * [backup-simplify]: Simplify 0 into 0
20.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.315 * [backup-simplify]: Simplify 0 into 0
20.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.316 * [backup-simplify]: Simplify 0 into 0
20.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.316 * [backup-simplify]: Simplify 0 into 0
20.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.317 * [backup-simplify]: Simplify 0 into 0
20.319 * [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
20.319 * [backup-simplify]: Simplify 0 into 0
20.319 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.320 * [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)))
20.320 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
20.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
20.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
20.320 * [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))
20.320 * [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)))
20.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
20.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
20.320 * [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))
20.321 * [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)))
20.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.321 * [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)))
20.321 * [backup-simplify]: Simplify 0 into 0
20.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.323 * [backup-simplify]: Simplify 0 into 0
20.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.324 * [backup-simplify]: Simplify 0 into 0
20.326 * [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
20.326 * [backup-simplify]: Simplify 0 into 0
20.327 * [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
20.327 * [backup-simplify]: Simplify 0 into 0
20.328 * [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
20.328 * [backup-simplify]: Simplify 0 into 0
20.328 * [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)))
20.329 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
20.329 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
20.329 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
20.329 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
20.329 * [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))
20.329 * [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)))
20.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.329 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
20.330 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
20.330 * [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))
20.330 * [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)))
20.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.330 * [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)))
20.330 * [backup-simplify]: Simplify 0 into 0
20.332 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.332 * [backup-simplify]: Simplify 0 into 0
20.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.333 * [backup-simplify]: Simplify 0 into 0
20.334 * [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
20.334 * [backup-simplify]: Simplify 0 into 0
20.335 * [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
20.335 * [backup-simplify]: Simplify 0 into 0
20.336 * [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
20.336 * [backup-simplify]: Simplify 0 into 0
20.337 * [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)))
20.337 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
20.337 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.337 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
20.337 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
20.337 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
20.337 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.337 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.337 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
20.337 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
20.338 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.338 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.338 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.338 * [backup-simplify]: Simplify 0 into 0
20.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.339 * [backup-simplify]: Simplify 0 into 0
20.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.340 * [backup-simplify]: Simplify 0 into 0
20.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.341 * [backup-simplify]: Simplify 0 into 0
20.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.343 * [backup-simplify]: Simplify 0 into 0
20.344 * [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
20.344 * [backup-simplify]: Simplify 0 into 0
20.344 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.344 * [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)))
20.344 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
20.344 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
20.344 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
20.345 * [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))
20.345 * [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)))
20.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.345 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
20.345 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
20.345 * [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))
20.346 * [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)))
20.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.346 * [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)))
20.346 * [backup-simplify]: Simplify 0 into 0
20.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.347 * [backup-simplify]: Simplify 0 into 0
20.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.349 * [backup-simplify]: Simplify 0 into 0
20.350 * [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
20.350 * [backup-simplify]: Simplify 0 into 0
20.351 * [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
20.351 * [backup-simplify]: Simplify 0 into 0
20.352 * [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
20.352 * [backup-simplify]: Simplify 0 into 0
20.352 * [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)))
20.352 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
20.352 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
20.352 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
20.352 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
20.353 * [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))
20.353 * [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)))
20.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.353 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
20.353 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
20.353 * [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))
20.353 * [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)))
20.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.354 * [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)))
20.354 * [backup-simplify]: Simplify 0 into 0
20.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.356 * [backup-simplify]: Simplify 0 into 0
20.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.357 * [backup-simplify]: Simplify 0 into 0
20.359 * [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
20.359 * [backup-simplify]: Simplify 0 into 0
20.360 * [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
20.360 * [backup-simplify]: Simplify 0 into 0
20.361 * [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
20.361 * [backup-simplify]: Simplify 0 into 0
20.362 * [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)))
20.362 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
20.362 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.362 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
20.362 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
20.362 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
20.362 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.362 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.362 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
20.363 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
20.363 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.363 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.363 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.363 * [backup-simplify]: Simplify 0 into 0
20.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.364 * [backup-simplify]: Simplify 0 into 0
20.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.365 * [backup-simplify]: Simplify 0 into 0
20.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.367 * [backup-simplify]: Simplify 0 into 0
20.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
20.368 * [backup-simplify]: Simplify 0 into 0
20.369 * [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
20.369 * [backup-simplify]: Simplify 0 into 0
20.369 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
20.370 * [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)))
20.371 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
20.371 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
20.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
20.371 * [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))
20.371 * [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)))
20.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.371 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
20.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
20.372 * [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))
20.372 * [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)))
20.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.372 * [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)))
20.373 * [backup-simplify]: Simplify 0 into 0
20.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.374 * [backup-simplify]: Simplify 0 into 0
20.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
20.376 * [backup-simplify]: Simplify 0 into 0
20.378 * [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
20.378 * [backup-simplify]: Simplify 0 into 0
20.379 * [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
20.380 * [backup-simplify]: Simplify 0 into 0
20.381 * [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
20.381 * [backup-simplify]: Simplify 0 into 0
20.381 * [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)))
20.382 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
20.382 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
20.382 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
20.382 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
20.382 * [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))
20.382 * [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)))
20.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.382 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
20.382 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
20.383 * [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))
20.383 * [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)))
20.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.383 * [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)))
20.383 * [backup-simplify]: Simplify 0 into 0
20.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.385 * [backup-simplify]: Simplify 0 into 0
20.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
20.386 * [backup-simplify]: Simplify 0 into 0
20.388 * [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
20.388 * [backup-simplify]: Simplify 0 into 0
20.390 * [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
20.390 * [backup-simplify]: Simplify 0 into 0
20.391 * [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
20.391 * [backup-simplify]: Simplify 0 into 0
20.392 * [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)))
20.392 * * * * [progress]: [ 4 / 4 ] generating series at (2)
20.392 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.392 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
20.392 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
20.393 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.393 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
20.393 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.393 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.393 * [backup-simplify]: Simplify 0 into 0
20.393 * [backup-simplify]: Simplify 0 into 0
20.393 * [backup-simplify]: Simplify 0 into 0
20.393 * [backup-simplify]: Simplify 0 into 0
20.393 * [backup-simplify]: Simplify 0 into 0
20.393 * [backup-simplify]: Simplify 0 into 0
20.393 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
20.394 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
20.394 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
20.394 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
20.394 * [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))
20.394 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
20.395 * [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))
20.395 * [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))
20.395 * [backup-simplify]: Simplify 0 into 0
20.395 * [backup-simplify]: Simplify 0 into 0
20.395 * [backup-simplify]: Simplify 0 into 0
20.395 * [backup-simplify]: Simplify 0 into 0
20.395 * [backup-simplify]: Simplify 0 into 0
20.395 * [backup-simplify]: Simplify 0 into 0
20.395 * [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))
20.396 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
20.396 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
20.396 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
20.396 * [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))
20.396 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
20.397 * [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))
20.397 * [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))
20.397 * [backup-simplify]: Simplify 0 into 0
20.397 * [backup-simplify]: Simplify 0 into 0
20.397 * [backup-simplify]: Simplify 0 into 0
20.397 * [backup-simplify]: Simplify 0 into 0
20.397 * [backup-simplify]: Simplify 0 into 0
20.397 * [backup-simplify]: Simplify 0 into 0
20.398 * [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))
20.398 * * * [progress]: simplifying candidates
20.400 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (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 (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (+ 1/2 (+ (/ 1/2 2) (/ 1/2 2)))
  (+ 1/2 (+ (/ 1/2 2) (/ (/ 1 2) 2)))
  (+ 1/2 (+ (/ (/ 1 2) 2) (/ 1/2 2)))
  (+ 1/2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
  (+ 1/2 (* 2 (/ 1/2 2)))
  (+ 1/2 (* 2 (/ (/ 1 2) 2)))
  (+ 1 (+ 1/2 1/2))
  (+ 1 (+ 1/2 (/ 1 2)))
  (+ 1 (+ (/ 1 2) 1/2))
  (+ 1 (+ (/ 1 2) (/ 1 2)))
  (+ 1 (* 2 1/2))
  (+ 1 (* 2 (/ 1 2)))
  (+ (/ 1 2) (+ (/ 1/2 2) (/ 1/2 2)))
  (+ (/ 1 2) (+ (/ 1/2 2) (/ (/ 1 2) 2)))
  (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ 1/2 2)))
  (+ (/ 1 2) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)))
  (+ (/ 1 2) (* 2 (/ 1/2 2)))
  (+ (/ 1 2) (* 2 (/ (/ 1 2) 2)))
  (* (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 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (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)))))
  (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (+ (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (exp (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (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 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (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 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))))
  (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (* (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 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (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)))
  (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))
20.405 * * [simplify]: iteration 0: 83 enodes
20.468 * * [simplify]: iteration 1: 167 enodes
20.531 * * [simplify]: iteration 2: 280 enodes
20.722 * * [simplify]: iteration 3: 430 enodes
21.106 * * [simplify]: iteration 4: 1003 enodes
25.766 * * [simplify]: iteration 5: 3281 enodes
28.696 * * [simplify]: iteration complete: 5007 enodes
28.697 * * [simplify]: Extracting #0: cost 26 inf + 0
28.698 * * [simplify]: Extracting #1: cost 298 inf + 3
28.704 * * [simplify]: Extracting #2: cost 1056 inf + 138
28.714 * * [simplify]: Extracting #3: cost 1198 inf + 665
28.724 * * [simplify]: Extracting #4: cost 1169 inf + 5538
28.742 * * [simplify]: Extracting #5: cost 1071 inf + 53389
29.087 * * [simplify]: Extracting #6: cost 582 inf + 416187
29.332 * * [simplify]: Extracting #7: cost 49 inf + 904102
29.555 * * [simplify]: Extracting #8: cost 0 inf + 954004
29.845 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (fabs (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (expm1 (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log1p (atan2 1.0 (fma (+ 1.0 N) N 1)))
  1
  1
  1
  1
  1
  1
  2
  2
  2
  2
  2
  2
  1
  1
  1
  1
  1
  1
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (log (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (exp (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1))) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (atan2 1.0 (fma (+ 1.0 N) N 1)) (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (* (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))) (sqrt (cbrt (atan2 1.0 (fma (+ 1.0 N) N 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (* (sqrt (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))) (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1))))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (sqrt (atan2 1.0 (fma (+ 1.0 N) N 1)))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
  (atan2 1.0 (fma (+ 1.0 N) N 1))
29.857 * * * [progress]: adding candidates to table
30.410 * [progress]: [Phase 3 of 3] Extracting.
30.410 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))))> #<alt (λ (N) (/ (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N))))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))>)
30.413 * * * [regime-changes]: Trying 1 branch expressions: (N)
30.413 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))))> #<alt (λ (N) (/ (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N))))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))))>)
30.610 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
30.612 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ N 1.0) 1))
30.612 * * [simplify]: iteration 0: 6 enodes
30.613 * * [simplify]: iteration 1: 9 enodes
30.613 * * [simplify]: iteration complete: 9 enodes
30.613 * * [simplify]: Extracting #0: cost 1 inf + 0
30.613 * * [simplify]: Extracting #1: cost 3 inf + 0
30.613 * * [simplify]: Extracting #2: cost 5 inf + 1
30.613 * * [simplify]: Extracting #3: cost 2 inf + 45
30.613 * * [simplify]: Extracting #4: cost 0 inf + 381
30.614 * [simplify]: Simplified to:
  (atan2 1.0 (fma N (+ 1.0 N) 1))
34.583 * [regime-testing]: Baseline error score: 0.3583302332291436
34.600 * [regime-testing]: Oracle error score: 0.3179501857232053
34.634 * [regime-testing]: End program error score: 0.3583302332291436
34.782 * [regime-testing]: Target error score: 0.3607055301412576