44.088 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.057 * * * [progress]: [2/2] Setting up program.
0.064 * [progress]: [Phase 2 of 3] Improving.
0.064 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.064 * * [simplify]: iteration 0: 6 enodes
0.066 * * [simplify]: iteration 1: 9 enodes
0.068 * * [simplify]: iteration 2: 10 enodes
0.070 * * [simplify]: iteration complete: 10 enodes
0.071 * * [simplify]: Extracting #0: cost 1 inf + 0
0.071 * * [simplify]: Extracting #1: cost 4 inf + 0
0.071 * * [simplify]: Extracting #2: cost 6 inf + 0
0.071 * * [simplify]: Extracting #3: cost 6 inf + 1
0.071 * * [simplify]: Extracting #4: cost 0 inf + 735
0.071 * [simplify]: Simplified to:
  (- (atan (+ 1.0 N)) (atan N))
0.072 * * [progress]: iteration 1 / 4
0.072 * * * [progress]: picking best candidate
0.078 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.078 * * * [progress]: localizing error
0.095 * * * [progress]: generating rewritten candidates
0.095 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.104 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.107 * * * [progress]: generating series expansions
0.107 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.107 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.107 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.107 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.107 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.108 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.108 * [taylor]: Taking taylor expansion of (atan N) in N
0.108 * [backup-simplify]: Simplify (atan N) into (atan N)
0.108 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.108 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.108 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.108 * [taylor]: Taking taylor expansion of (atan N) in N
0.108 * [backup-simplify]: Simplify (atan N) into (atan N)
0.108 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.108 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.108 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.109 * [backup-simplify]: Simplify (- 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- 0) into 0
0.111 * [backup-simplify]: Simplify (+ 0 0) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (- 0) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify (- 0) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify (- 0) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.116 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.116 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.116 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.116 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.116 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.116 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.116 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.116 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.116 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.116 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.116 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.116 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.117 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.117 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.117 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- 0) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- 0) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.123 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.123 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.123 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.123 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.123 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.123 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.123 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.123 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.123 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.123 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.123 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.123 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.123 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.124 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.124 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.124 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (- 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (- 0) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- 0) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.129 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.129 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.130 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.130 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.130 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.130 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.130 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.130 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.131 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.131 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.131 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.131 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.131 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.131 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.132 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.132 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.132 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.132 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.132 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.132 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.132 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.133 * * * [progress]: simplifying candidates
0.134 * [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))
0.135 * * [simplify]: iteration 0: 66 enodes
0.176 * * [simplify]: iteration 1: 139 enodes
0.247 * * [simplify]: iteration 2: 506 enodes
1.301 * * [simplify]: iteration 3: 4357 enodes
6.172 * * [simplify]: iteration complete: 5000 enodes
6.172 * * [simplify]: Extracting #0: cost 29 inf + 0
6.174 * * [simplify]: Extracting #1: cost 364 inf + 1
6.182 * * [simplify]: Extracting #2: cost 1073 inf + 16951
6.205 * * [simplify]: Extracting #3: cost 374 inf + 191389
6.256 * * [simplify]: Extracting #4: cost 26 inf + 317493
6.341 * * [simplify]: Extracting #5: cost 4 inf + 325221
6.433 * * [simplify]: Extracting #6: cost 0 inf + 326231
6.483 * [simplify]: Simplified to:
  (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))) (atan N))
  0
  (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))) (atan N))
  0
  (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (- (atan (+ 1.0 N)) (atan N))
  0
  (expm1 (- (atan (+ 1.0 N)) (atan N)))
  (log1p (- (atan (+ 1.0 N)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  (- 1.0 0)
  (fma N (+ 1.0 N) 1)
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (log (- (atan (+ 1.0 N)) (atan N)))
  (exp (- (atan (+ 1.0 N)) (atan N)))
  (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N))))
  (cbrt (- (atan (+ 1.0 N)) (atan N)))
  (* (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N))) (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (sqrt (- (atan (+ 1.0 N)) (atan N)))
  (- (* (atan (+ 1.0 N)) (* (atan (+ 1.0 N)) (atan (+ 1.0 N)))) (* (atan N) (* (atan N) (atan N))))
  (fma (atan N) (+ (atan N) (atan (+ 1.0 N))) (* (atan (+ 1.0 N)) (atan (+ 1.0 N))))
  (- (atan N))
  (- (* (atan (+ 1.0 N)) (atan (+ 1.0 N))) (* (atan N) (atan N)))
  (+ (atan N) (atan (+ 1.0 N)))
  (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan N))
  (expm1 (atan (+ 1.0 N)))
  (log1p (atan (+ 1.0 N)))
  (log (atan (+ 1.0 N)))
  (exp (atan (+ 1.0 N)))
  (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))
  (cbrt (atan (+ 1.0 N)))
  (* (atan (+ 1.0 N)) (* (atan (+ 1.0 N)) (atan (+ 1.0 N))))
  (sqrt (atan (+ 1.0 N)))
  (sqrt (atan (+ 1.0 N)))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (- (atan (+ 1.0 N)) (atan N))
  (atan (+ 1.0 N))
  (atan (+ 1.0 N))
  (atan (+ 1.0 N))
6.485 * * * [progress]: adding candidates to table
6.620 * * [progress]: iteration 2 / 4
6.620 * * * [progress]: picking best candidate
6.636 * * * * [pick]: Picked  #<alt (λ (N) (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))>
6.637 * * * [progress]: localizing error
6.658 * * * [progress]: generating rewritten candidates
6.658 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
6.693 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
6.693 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
6.719 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
6.732 * * * [progress]: generating series expansions
6.732 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
6.732 * [backup-simplify]: Simplify (- (+ N 1.0) N) into 1.0
6.733 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0
6.733 * [taylor]: Taking taylor expansion of 1.0 in N
6.733 * [backup-simplify]: Simplify 1.0 into 1.0
6.733 * [taylor]: Taking taylor expansion of 1.0 in N
6.733 * [backup-simplify]: Simplify 1.0 into 1.0
6.733 * [backup-simplify]: Simplify 1.0 into 1.0
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 1.0 into 1.0
6.733 * [backup-simplify]: Simplify (- (+ (/ 1 N) 1.0) (/ 1 N)) into 1.0
6.733 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0
6.733 * [taylor]: Taking taylor expansion of 1.0 in N
6.733 * [backup-simplify]: Simplify 1.0 into 1.0
6.733 * [taylor]: Taking taylor expansion of 1.0 in N
6.733 * [backup-simplify]: Simplify 1.0 into 1.0
6.733 * [backup-simplify]: Simplify 1.0 into 1.0
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 0 into 0
6.733 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 1.0 into 1.0
6.734 * [backup-simplify]: Simplify (- (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into 1.0
6.734 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0
6.734 * [taylor]: Taking taylor expansion of 1.0 in N
6.734 * [backup-simplify]: Simplify 1.0 into 1.0
6.734 * [taylor]: Taking taylor expansion of 1.0 in N
6.734 * [backup-simplify]: Simplify 1.0 into 1.0
6.734 * [backup-simplify]: Simplify 1.0 into 1.0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 0 into 0
6.734 * [backup-simplify]: Simplify 1.0 into 1.0
6.734 * * * * [progress]: [ 2 / 4 ] generating series at (2)
6.735 * [backup-simplify]: Simplify (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.735 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0
6.735 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
6.735 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.735 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N
6.735 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.736 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.736 * [backup-simplify]: Simplify (atan2 (- (+ (/ 1 N) 1.0) (/ 1 N)) (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
6.737 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0
6.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
6.737 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
6.737 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N
6.737 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
6.740 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)))
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.741 * [backup-simplify]: Simplify (atan2 (- (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
6.741 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0
6.741 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
6.741 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
6.741 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N
6.742 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
6.742 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.742 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
6.743 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
6.743 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0))
6.743 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0
6.743 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.743 * [taylor]: Taking taylor expansion of N in N
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify 1 into 1
6.743 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.743 * [taylor]: Taking taylor expansion of N in N
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify 1 into 1
6.743 * [taylor]: Taking taylor expansion of 1.0 in N
6.743 * [backup-simplify]: Simplify 1.0 into 1.0
6.743 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N
6.743 * [taylor]: Taking taylor expansion of N in N
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify 1 into 1
6.743 * [taylor]: Taking taylor expansion of (+ N 1.0) in N
6.743 * [taylor]: Taking taylor expansion of N in N
6.743 * [backup-simplify]: Simplify 0 into 0
6.743 * [backup-simplify]: Simplify 1 into 1
6.743 * [taylor]: Taking taylor expansion of 1.0 in N
6.743 * [backup-simplify]: Simplify 1.0 into 1.0
6.744 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.745 * [backup-simplify]: Simplify (* 0 1.0) into 0
6.745 * [backup-simplify]: Simplify 0 into 0
6.745 * [backup-simplify]: Simplify (+ 1 0) into 1
6.747 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0
6.747 * [backup-simplify]: Simplify 1.0 into 1.0
6.747 * [backup-simplify]: Simplify (+ 0 0) into 0
6.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1
6.748 * [backup-simplify]: Simplify 1 into 1
6.749 * [backup-simplify]: Simplify (+ 0 0) into 0
6.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0
6.750 * [backup-simplify]: Simplify 0 into 0
6.750 * [backup-simplify]: Simplify (+ 0 0) into 0
6.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0
6.752 * [backup-simplify]: Simplify 0 into 0
6.752 * [backup-simplify]: Simplify (+ 0 0) into 0
6.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0
6.753 * [backup-simplify]: Simplify 0 into 0
6.754 * [backup-simplify]: Simplify (+ 0 0) into 0
6.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0
6.755 * [backup-simplify]: Simplify 0 into 0
6.755 * [backup-simplify]: Simplify (+ 0 0) into 0
6.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0
6.756 * [backup-simplify]: Simplify 0 into 0
6.756 * [backup-simplify]: Simplify (+ 0 0) into 0
6.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0
6.757 * [backup-simplify]: Simplify 0 into 0
6.758 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2))
6.758 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N)
6.758 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0
6.758 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
6.758 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.758 * [taylor]: Taking taylor expansion of N in N
6.758 * [backup-simplify]: Simplify 0 into 0
6.758 * [backup-simplify]: Simplify 1 into 1
6.758 * [backup-simplify]: Simplify (/ 1 1) into 1
6.758 * [taylor]: Taking taylor expansion of 1.0 in N
6.758 * [backup-simplify]: Simplify 1.0 into 1.0
6.758 * [taylor]: Taking taylor expansion of N in N
6.758 * [backup-simplify]: Simplify 0 into 0
6.758 * [backup-simplify]: Simplify 1 into 1
6.758 * [backup-simplify]: Simplify (+ 1 0) into 1
6.759 * [backup-simplify]: Simplify (/ 1 1) into 1
6.759 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N
6.759 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N
6.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.759 * [taylor]: Taking taylor expansion of N in N
6.759 * [backup-simplify]: Simplify 0 into 0
6.759 * [backup-simplify]: Simplify 1 into 1
6.759 * [backup-simplify]: Simplify (/ 1 1) into 1
6.759 * [taylor]: Taking taylor expansion of 1.0 in N
6.759 * [backup-simplify]: Simplify 1.0 into 1.0
6.759 * [taylor]: Taking taylor expansion of N in N
6.759 * [backup-simplify]: Simplify 0 into 0
6.759 * [backup-simplify]: Simplify 1 into 1
6.759 * [backup-simplify]: Simplify (+ 1 0) into 1
6.760 * [backup-simplify]: Simplify (/ 1 1) into 1
6.760 * [backup-simplify]: Simplify 1 into 1
6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.760 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.762 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0
6.762 * [backup-simplify]: Simplify 1.0 into 1.0
6.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.762 * [backup-simplify]: Simplify (+ 0 0) into 0
6.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
6.763 * [backup-simplify]: Simplify 0 into 0
6.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.764 * [backup-simplify]: Simplify (+ 0 0) into 0
6.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.765 * [backup-simplify]: Simplify 0 into 0
6.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.765 * [backup-simplify]: Simplify (+ 0 0) into 0
6.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.766 * [backup-simplify]: Simplify 0 into 0
6.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.767 * [backup-simplify]: Simplify (+ 0 0) into 0
6.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.767 * [backup-simplify]: Simplify 0 into 0
6.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.768 * [backup-simplify]: Simplify (+ 0 0) into 0
6.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.769 * [backup-simplify]: Simplify 0 into 0
6.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.770 * [backup-simplify]: Simplify (+ 0 0) into 0
6.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2))
6.771 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N))
6.771 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0
6.771 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
6.771 * [taylor]: Taking taylor expansion of -1 in N
6.771 * [backup-simplify]: Simplify -1 into -1
6.771 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
6.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.771 * [taylor]: Taking taylor expansion of 1.0 in N
6.771 * [backup-simplify]: Simplify 1.0 into 1.0
6.771 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.771 * [taylor]: Taking taylor expansion of N in N
6.771 * [backup-simplify]: Simplify 0 into 0
6.771 * [backup-simplify]: Simplify 1 into 1
6.771 * [backup-simplify]: Simplify (/ 1 1) into 1
6.771 * [taylor]: Taking taylor expansion of N in N
6.771 * [backup-simplify]: Simplify 0 into 0
6.771 * [backup-simplify]: Simplify 1 into 1
6.771 * [backup-simplify]: Simplify (- 1) into -1
6.772 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.772 * [backup-simplify]: Simplify (/ -1 1) into -1
6.772 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N
6.772 * [taylor]: Taking taylor expansion of -1 in N
6.772 * [backup-simplify]: Simplify -1 into -1
6.772 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N
6.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N
6.772 * [taylor]: Taking taylor expansion of 1.0 in N
6.772 * [backup-simplify]: Simplify 1.0 into 1.0
6.772 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.772 * [taylor]: Taking taylor expansion of N in N
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [backup-simplify]: Simplify 1 into 1
6.772 * [backup-simplify]: Simplify (/ 1 1) into 1
6.772 * [taylor]: Taking taylor expansion of N in N
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [backup-simplify]: Simplify 1 into 1
6.773 * [backup-simplify]: Simplify (- 1) into -1
6.773 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.773 * [backup-simplify]: Simplify (/ -1 1) into -1
6.773 * [backup-simplify]: Simplify (* -1 -1) into 1
6.773 * [backup-simplify]: Simplify 1 into 1
6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.774 * [backup-simplify]: Simplify (- 0) into 0
6.774 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.775 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0
6.776 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0)
6.777 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
6.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.777 * [backup-simplify]: Simplify (- 0) into 0
6.778 * [backup-simplify]: Simplify (+ 0 0) into 0
6.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0
6.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0
6.779 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.779 * [backup-simplify]: Simplify (- 0) into 0
6.780 * [backup-simplify]: Simplify (+ 0 0) into 0
6.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.781 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0
6.781 * [backup-simplify]: Simplify 0 into 0
6.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.782 * [backup-simplify]: Simplify (- 0) into 0
6.782 * [backup-simplify]: Simplify (+ 0 0) into 0
6.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.784 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0
6.784 * [backup-simplify]: Simplify 0 into 0
6.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.784 * [backup-simplify]: Simplify (- 0) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.787 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0
6.787 * [backup-simplify]: Simplify 0 into 0
6.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.788 * [backup-simplify]: Simplify (- 0) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.792 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0
6.792 * [backup-simplify]: Simplify 0 into 0
6.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.793 * [backup-simplify]: Simplify (- 0) into 0
6.793 * [backup-simplify]: Simplify (+ 0 0) into 0
6.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.797 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0
6.797 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2))
6.798 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
6.798 * [backup-simplify]: Simplify (+ 1 (* (+ N 1.0) N)) into (+ (* 1.0 N) (+ (pow N 2) 1))
6.798 * [approximate]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in (N) around 0
6.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N
6.798 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
6.798 * [taylor]: Taking taylor expansion of 1.0 in N
6.798 * [backup-simplify]: Simplify 1.0 into 1.0
6.798 * [taylor]: Taking taylor expansion of N in N
6.798 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify 1 into 1
6.798 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N
6.798 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.798 * [taylor]: Taking taylor expansion of N in N
6.798 * [backup-simplify]: Simplify 0 into 0
6.798 * [backup-simplify]: Simplify 1 into 1
6.798 * [taylor]: Taking taylor expansion of 1 in N
6.798 * [backup-simplify]: Simplify 1 into 1
6.798 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (+ (pow N 2) 1)) in N
6.798 * [taylor]: Taking taylor expansion of (* 1.0 N) in N
6.798 * [taylor]: Taking taylor expansion of 1.0 in N
6.798 * [backup-simplify]: Simplify 1.0 into 1.0
6.798 * [taylor]: Taking taylor expansion of N in N
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [backup-simplify]: Simplify 1 into 1
6.799 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N
6.799 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.799 * [taylor]: Taking taylor expansion of N in N
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [backup-simplify]: Simplify 1 into 1
6.799 * [taylor]: Taking taylor expansion of 1 in N
6.799 * [backup-simplify]: Simplify 1 into 1
6.799 * [backup-simplify]: Simplify (* 1.0 0) into 0
6.800 * [backup-simplify]: Simplify (+ 0 1) into 1
6.800 * [backup-simplify]: Simplify (+ 0 1) into 1
6.800 * [backup-simplify]: Simplify 1 into 1
6.801 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
6.802 * [backup-simplify]: Simplify (+ 0 0) into 0
6.802 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.802 * [backup-simplify]: Simplify 1.0 into 1.0
6.802 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
6.803 * [backup-simplify]: Simplify (* 1 1) into 1
6.803 * [backup-simplify]: Simplify (+ 1 0) into 1
6.803 * [backup-simplify]: Simplify (+ 0 1) into 1
6.803 * [backup-simplify]: Simplify 1 into 1
6.803 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1.0 N) 1)) into (+ (* 1.0 N) (+ (pow N 2) 1))
6.803 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N))) into (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))
6.803 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in (N) around 0
6.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N
6.804 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.804 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.804 * [taylor]: Taking taylor expansion of N in N
6.804 * [backup-simplify]: Simplify 0 into 0
6.804 * [backup-simplify]: Simplify 1 into 1
6.804 * [backup-simplify]: Simplify (* 1 1) into 1
6.804 * [backup-simplify]: Simplify (/ 1 1) into 1
6.804 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N
6.804 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
6.804 * [taylor]: Taking taylor expansion of 1.0 in N
6.804 * [backup-simplify]: Simplify 1.0 into 1.0
6.804 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.804 * [taylor]: Taking taylor expansion of N in N
6.804 * [backup-simplify]: Simplify 0 into 0
6.804 * [backup-simplify]: Simplify 1 into 1
6.804 * [backup-simplify]: Simplify (/ 1 1) into 1
6.804 * [taylor]: Taking taylor expansion of 1 in N
6.804 * [backup-simplify]: Simplify 1 into 1
6.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1)) in N
6.804 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.804 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.804 * [taylor]: Taking taylor expansion of N in N
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify 1 into 1
6.805 * [backup-simplify]: Simplify (* 1 1) into 1
6.805 * [backup-simplify]: Simplify (/ 1 1) into 1
6.805 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N
6.805 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
6.805 * [taylor]: Taking taylor expansion of 1.0 in N
6.805 * [backup-simplify]: Simplify 1.0 into 1.0
6.805 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.805 * [taylor]: Taking taylor expansion of N in N
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify 1 into 1
6.805 * [backup-simplify]: Simplify (/ 1 1) into 1
6.805 * [taylor]: Taking taylor expansion of 1 in N
6.805 * [backup-simplify]: Simplify 1 into 1
6.806 * [backup-simplify]: Simplify (+ 1 0) into 1
6.806 * [backup-simplify]: Simplify 1 into 1
6.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.807 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
6.807 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.807 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
6.807 * [backup-simplify]: Simplify 1.0 into 1.0
6.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.809 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
6.809 * [backup-simplify]: Simplify (+ 0 1) into 1
6.810 * [backup-simplify]: Simplify (+ 0 1) into 1
6.810 * [backup-simplify]: Simplify 1 into 1
6.810 * [backup-simplify]: Simplify (+ 1 (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ (* 1.0 N) (+ (pow N 2) 1))
6.810 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))
6.810 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0
6.810 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N
6.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
6.810 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.810 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.810 * [taylor]: Taking taylor expansion of N in N
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify 1 into 1
6.810 * [backup-simplify]: Simplify (* 1 1) into 1
6.811 * [backup-simplify]: Simplify (/ 1 1) into 1
6.811 * [taylor]: Taking taylor expansion of 1 in N
6.811 * [backup-simplify]: Simplify 1 into 1
6.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
6.811 * [taylor]: Taking taylor expansion of 1.0 in N
6.811 * [backup-simplify]: Simplify 1.0 into 1.0
6.811 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.811 * [taylor]: Taking taylor expansion of N in N
6.811 * [backup-simplify]: Simplify 0 into 0
6.811 * [backup-simplify]: Simplify 1 into 1
6.811 * [backup-simplify]: Simplify (/ 1 1) into 1
6.811 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N
6.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N
6.811 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N
6.811 * [taylor]: Taking taylor expansion of (pow N 2) in N
6.811 * [taylor]: Taking taylor expansion of N in N
6.811 * [backup-simplify]: Simplify 0 into 0
6.811 * [backup-simplify]: Simplify 1 into 1
6.812 * [backup-simplify]: Simplify (* 1 1) into 1
6.812 * [backup-simplify]: Simplify (/ 1 1) into 1
6.812 * [taylor]: Taking taylor expansion of 1 in N
6.812 * [backup-simplify]: Simplify 1 into 1
6.812 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N
6.812 * [taylor]: Taking taylor expansion of 1.0 in N
6.812 * [backup-simplify]: Simplify 1.0 into 1.0
6.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N
6.812 * [taylor]: Taking taylor expansion of N in N
6.812 * [backup-simplify]: Simplify 0 into 0
6.812 * [backup-simplify]: Simplify 1 into 1
6.812 * [backup-simplify]: Simplify (/ 1 1) into 1
6.812 * [backup-simplify]: Simplify (+ 1 0) into 1
6.813 * [backup-simplify]: Simplify (+ 1 0) into 1
6.813 * [backup-simplify]: Simplify 1 into 1
6.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.814 * [backup-simplify]: Simplify (+ 0 0) into 0
6.814 * [backup-simplify]: Simplify (* 1.0 1) into 1.0
6.814 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
6.815 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
6.815 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
6.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.816 * [backup-simplify]: Simplify (+ 0 1) into 1
6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.817 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0
6.817 * [backup-simplify]: Simplify (- 0) into 0
6.818 * [backup-simplify]: Simplify (+ 1 0) into 1
6.818 * [backup-simplify]: Simplify 1 into 1
6.818 * [backup-simplify]: Simplify (+ 1 (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ (* 1.0 N) (+ (pow N 2) 1))
6.818 * * * [progress]: simplifying candidates
6.819 * [simplify]: Simplifying:
  (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* (cbrt N) (* (cbrt N) (cbrt N)))))
  (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N))))
  (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* (sqrt N) (sqrt N))))
  (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N)))
  (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* N 1)))
  (fma (- N) 1 (* N 1))
  (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* (cbrt N) (* (cbrt N) (cbrt N)))))
  (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N))))
  (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* (sqrt N) (sqrt N))))
  (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N)))
  (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* N 1)))
  (fma (- N) 1 (* N 1))
  (fma 1 (+ N 1.0) (- (* (cbrt N) (* (cbrt N) (cbrt N)))))
  (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N))))
  (fma 1 (+ N 1.0) (- (* (sqrt N) (sqrt N))))
  (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N)))
  (fma 1 (+ N 1.0) (- (* N 1)))
  (fma (- N) 1 (* N 1))
  (fma 1 (+ N 1.0) (- (* (cbrt N) (* (cbrt N) (cbrt N)))))
  (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N))))
  (fma 1 (+ N 1.0) (- (* (sqrt N) (sqrt N))))
  (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N)))
  (fma 1 (+ N 1.0) (- (* N 1)))
  (fma (- N) 1 (* N 1))
  (expm1 (- (+ N 1.0) N))
  (log1p (- (+ N 1.0) N))
  (- N)
  (- N)
  (- N)
  (- N)
  (/ (* (exp N) (exp 1.0)) (exp N))
  (/ (exp (+ N 1.0)) (exp N))
  (log (- (+ N 1.0) N))
  (exp (- (+ N 1.0) N))
  (* (cbrt (- (+ N 1.0) N)) (cbrt (- (+ N 1.0) N)))
  (cbrt (- (+ N 1.0) N))
  (* (* (- (+ N 1.0) N) (- (+ N 1.0) N)) (- (+ N 1.0) N))
  (sqrt (- (+ N 1.0) N))
  (sqrt (- (+ N 1.0) N))
  (- (pow (+ N 1.0) 3) (pow N 3))
  (+ (* (+ N 1.0) (+ N 1.0)) (+ (* N N) (* (+ N 1.0) N)))
  (- N)
  (- (* (+ N 1.0) (+ N 1.0)) (* N N))
  (+ (+ N 1.0) N)
  (+ (sqrt (+ N 1.0)) (sqrt N))
  (- (sqrt (+ N 1.0)) (sqrt N))
  (- (+ N 1.0) N)
  (- (+ N 1.0) N)
  (- 1.0 N)
  (- N)
  (expm1 (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))
  (log1p (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))
  (log (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))
  (exp (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))
  (* (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))))
  (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))
  (* (* (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))) (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))
  (sqrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))
  (expm1 (* (+ N 1.0) N))
  (log1p (* (+ N 1.0) N))
  (* (+ N 1.0) N)
  (+ (log (+ N 1.0)) (log N))
  (log (* (+ N 1.0) N))
  (exp (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N))
  (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
  (cbrt (* (+ N 1.0) N))
  (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (sqrt (* (+ N 1.0) N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (sqrt (+ N 1.0)) (sqrt N))
  (* (+ N 1.0) (* (cbrt N) (cbrt N)))
  (* (+ N 1.0) (sqrt N))
  (* (+ N 1.0) 1)
  (* (cbrt (+ N 1.0)) N)
  (* (sqrt (+ N 1.0)) N)
  (* (+ N 1.0) N)
  (* (+ N 1.0) N)
  (* (+ (pow N 3) (pow 1.0 3)) N)
  (* (- (* N N) (* 1.0 1.0)) N)
  (expm1 (+ 1 (* (+ N 1.0) N)))
  (log1p (+ 1 (* (+ N 1.0) N)))
  (* (exp 1) (exp (* (+ N 1.0) N)))
  (log (+ 1 (* (+ N 1.0) N)))
  (exp (+ 1 (* (+ N 1.0) N)))
  (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N))))
  (cbrt (+ 1 (* (+ N 1.0) N)))
  (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N)))
  (sqrt (+ 1 (* (+ N 1.0) N)))
  (sqrt (+ 1 (* (+ N 1.0) N)))
  (+ (pow 1 3) (pow (* (+ N 1.0) N) 3))
  (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N))))
  (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))
  (- 1 (* (+ N 1.0) N))
  1.0
  1.0
  1.0
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1)))
  (+ (* 1.0 N) (pow N 2))
  (+ (* 1.0 N) (pow N 2))
  (+ (* 1.0 N) (pow N 2))
  (+ (* 1.0 N) (+ (pow N 2) 1))
  (+ (* 1.0 N) (+ (pow N 2) 1))
  (+ (* 1.0 N) (+ (pow N 2) 1))
6.821 * * [simplify]: iteration 0: 126 enodes
6.860 * * [simplify]: iteration 1: 326 enodes
7.162 * * [simplify]: iteration 2: 1911 enodes
9.726 * * [simplify]: iteration complete: 5000 enodes
9.726 * * [simplify]: Extracting #0: cost 59 inf + 0
9.728 * * [simplify]: Extracting #1: cost 542 inf + 1
9.733 * * [simplify]: Extracting #2: cost 1240 inf + 2700
9.744 * * [simplify]: Extracting #3: cost 474 inf + 59341
9.776 * * [simplify]: Extracting #4: cost 73 inf + 107078
9.811 * * [simplify]: Extracting #5: cost 11 inf + 116137
9.846 * * [simplify]: Extracting #6: cost 0 inf + 119249
9.883 * [simplify]: Simplified to:
  (- (* (cbrt (+ 1.0 N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) N)
  (fma -1 N N)
  (- (* (cbrt (+ 1.0 N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) N)
  (fma -1 N N)
  (- (* (cbrt (+ 1.0 N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) N)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (+ 1.0 0)
  (fma -1 N N)
  (expm1 (+ 1.0 0))
  (log1p (+ 1.0 0))
  (- N)
  (- N)
  (- N)
  (- N)
  (exp (+ 1.0 0))
  (exp (+ 1.0 0))
  (log (+ 1.0 0))
  (exp (+ 1.0 0))
  (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0)))
  (cbrt (+ 1.0 0))
  (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0))
  (sqrt (+ 1.0 0))
  (sqrt (+ 1.0 0))
  (- (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* N (* N N)))
  (fma N (+ N (+ 1.0 N)) (* (+ 1.0 N) (+ 1.0 N)))
  (- N)
  (* (+ (+ 1.0 N) N) (- (+ 1.0 N) N))
  (+ N (+ 1.0 N))
  (+ (sqrt (+ 1.0 N)) (sqrt N))
  (- (sqrt (+ 1.0 N)) (sqrt N))
  (+ 1.0 0)
  (+ 1.0 0)
  (- 1.0 N)
  (- N)
  (expm1 (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)))
  (log1p (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)))
  (log (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)))
  (exp (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1))) (cbrt (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)))
  (* (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)) (* (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)) (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1))))
  (sqrt (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 (+ 1.0 0) (fma N (+ 1.0 N) 1)))
  (expm1 (* N (+ 1.0 N)))
  (log (fma N (+ 1.0 N) 1))
  (* N (+ 1.0 N))
  (log (* N (+ 1.0 N)))
  (log (* N (+ 1.0 N)))
  (exp (* N (+ 1.0 N)))
  (* (* N (+ 1.0 N)) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))))
  (* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))
  (cbrt (* N (+ 1.0 N)))
  (* (* N (+ 1.0 N)) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))))
  (sqrt (* N (+ 1.0 N)))
  (sqrt (* N (+ 1.0 N)))
  (* (sqrt (+ 1.0 N)) (sqrt N))
  (* (sqrt (+ 1.0 N)) (sqrt N))
  (* (* (cbrt N) (cbrt N)) (+ 1.0 N))
  (* (sqrt N) (+ 1.0 N))
  (+ 1.0 N)
  (* (cbrt (+ 1.0 N)) N)
  (* (sqrt (+ 1.0 N)) N)
  (* N (+ 1.0 N))
  (* N (+ 1.0 N))
  (* (fma N (* N N) (* 1.0 (* 1.0 1.0))) N)
  (* (* N (+ N 1.0)) (- N 1.0))
  (expm1 (fma N (+ 1.0 N) 1))
  (log1p (fma N (+ 1.0 N) 1))
  (exp (fma N (+ 1.0 N) 1))
  (log (fma N (+ 1.0 N) 1))
  (exp (fma N (+ 1.0 N) 1))
  (* (cbrt (fma N (+ 1.0 N) 1)) (cbrt (fma N (+ 1.0 N) 1)))
  (cbrt (fma N (+ 1.0 N) 1))
  (* (* (fma N (+ 1.0 N) 1) (fma N (+ 1.0 N) 1)) (fma N (+ 1.0 N) 1))
  (sqrt (fma N (+ 1.0 N) 1))
  (sqrt (fma N (+ 1.0 N) 1))
  (fma (* N (+ 1.0 N)) (* (* N (+ 1.0 N)) (* N (+ 1.0 N))) 1)
  (fma (* N (+ 1.0 N)) (- (* N (+ 1.0 N)) 1) 1)
  (- 1 (* (* N (+ 1.0 N)) (* N (+ 1.0 N))))
  (- 1 (* N (+ 1.0 N)))
  1.0
  1.0
  1.0
  (atan2 1.0 (fma N (+ 1.0 N) 1))
  (atan2 1.0 (fma N (+ 1.0 N) 1))
  (atan2 1.0 (fma N (+ 1.0 N) 1))
  (* N (+ 1.0 N))
  (* N (+ 1.0 N))
  (* N (+ 1.0 N))
  (fma N (+ 1.0 N) 1)
  (fma N (+ 1.0 N) 1)
  (fma N (+ 1.0 N) 1)
9.888 * * * [progress]: adding candidates to table
10.171 * * [progress]: iteration 3 / 4
10.171 * * * [progress]: picking best candidate
10.177 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>
10.177 * * * [progress]: localizing error
10.185 * * * [progress]: generating rewritten candidates
10.185 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
10.185 * * * [progress]: generating series expansions
10.185 * * * * [progress]: [ 1 / 1 ] generating series at (2)
10.185 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.186 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
10.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.186 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.186 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.186 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.186 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.186 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
10.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.186 * [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))
10.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.186 * [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))
10.187 * [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))
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [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))
10.187 * [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))
10.187 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
10.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.187 * [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))
10.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.187 * [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))
10.187 * [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))
10.187 * [backup-simplify]: Simplify 0 into 0
10.187 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [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))
10.188 * * * [progress]: simplifying candidates
10.188 * [simplify]: Simplifying:
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
10.188 * * [simplify]: iteration 0: 18 enodes
10.191 * * [simplify]: iteration 1: 25 enodes
10.193 * * [simplify]: iteration 2: 38 enodes
10.198 * * [simplify]: iteration 3: 62 enodes
10.205 * * [simplify]: iteration 4: 87 enodes
10.219 * * [simplify]: iteration 5: 125 enodes
10.235 * * [simplify]: iteration 6: 195 enodes
10.266 * * [simplify]: iteration 7: 376 enodes
10.633 * * [simplify]: iteration 8: 1017 enodes
11.387 * * [simplify]: iteration complete: 5001 enodes
11.387 * * [simplify]: Extracting #0: cost 9 inf + 0
11.388 * * [simplify]: Extracting #1: cost 226 inf + 0
11.391 * * [simplify]: Extracting #2: cost 1209 inf + 3
11.395 * * [simplify]: Extracting #3: cost 1282 inf + 405
11.405 * * [simplify]: Extracting #4: cost 1096 inf + 28492
11.439 * * [simplify]: Extracting #5: cost 627 inf + 402974
11.543 * * [simplify]: Extracting #6: cost 42 inf + 992543
11.667 * * [simplify]: Extracting #7: cost 0 inf + 1020279
11.792 * * [simplify]: Extracting #8: cost 0 inf + 1018936
11.916 * [simplify]: Simplified to:
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
11.916 * * * [progress]: adding candidates to table
11.955 * * [progress]: iteration 4 / 4
11.955 * * * [progress]: picking best candidate
11.965 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))>
11.965 * * * [progress]: localizing error
11.982 * * * [progress]: generating rewritten candidates
11.982 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
11.983 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
11.984 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
11.995 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
11.997 * * * [progress]: generating series expansions
11.997 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
11.997 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
11.997 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
11.997 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
11.997 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
11.997 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
11.998 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
11.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
11.998 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
11.998 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
11.998 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
11.998 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
11.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
11.998 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
11.998 * [backup-simplify]: Simplify 0 into 0
11.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
11.999 * [backup-simplify]: Simplify 0 into 0
11.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
11.999 * [backup-simplify]: Simplify 0 into 0
12.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
12.000 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [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
12.002 * [backup-simplify]: Simplify 0 into 0
12.002 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.002 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
12.002 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
12.002 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
12.002 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
12.002 * [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))
12.002 * [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)))
12.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
12.002 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
12.002 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
12.002 * [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))
12.003 * [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)))
12.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
12.003 * [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)))
12.003 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
12.004 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
12.004 * [backup-simplify]: Simplify 0 into 0
12.005 * [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
12.005 * [backup-simplify]: Simplify 0 into 0
12.005 * [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
12.006 * [backup-simplify]: Simplify 0 into 0
12.006 * [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
12.006 * [backup-simplify]: Simplify 0 into 0
12.006 * [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)))
12.006 * [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)))
12.007 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
12.007 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
12.007 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
12.007 * [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))
12.007 * [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)))
12.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
12.007 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
12.007 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
12.007 * [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))
12.007 * [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)))
12.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
12.007 * [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)))
12.007 * [backup-simplify]: Simplify 0 into 0
12.008 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
12.008 * [backup-simplify]: Simplify 0 into 0
12.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
12.009 * [backup-simplify]: Simplify 0 into 0
12.009 * [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
12.009 * [backup-simplify]: Simplify 0 into 0
12.010 * [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
12.010 * [backup-simplify]: Simplify 0 into 0
12.011 * [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
12.011 * [backup-simplify]: Simplify 0 into 0
12.011 * [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)))
12.011 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
12.011 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.011 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
12.011 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
12.011 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
12.011 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.011 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
12.011 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
12.011 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
12.011 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.011 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
12.012 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.012 * [backup-simplify]: Simplify 0 into 0
12.012 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
12.012 * [backup-simplify]: Simplify 0 into 0
12.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
12.013 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
12.014 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
12.014 * [backup-simplify]: Simplify 0 into 0
12.015 * [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
12.015 * [backup-simplify]: Simplify 0 into 0
12.015 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
12.015 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
12.015 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
12.015 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
12.015 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
12.015 * [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))
12.016 * [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)))
12.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
12.016 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
12.016 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
12.016 * [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))
12.016 * [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)))
12.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
12.016 * [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)))
12.016 * [backup-simplify]: Simplify 0 into 0
12.017 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
12.017 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
12.021 * [backup-simplify]: Simplify 0 into 0
12.022 * [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
12.022 * [backup-simplify]: Simplify 0 into 0
12.023 * [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
12.023 * [backup-simplify]: Simplify 0 into 0
12.024 * [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
12.024 * [backup-simplify]: Simplify 0 into 0
12.024 * [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)))
12.024 * [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)))
12.024 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
12.024 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
12.024 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
12.024 * [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))
12.024 * [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)))
12.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
12.024 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
12.024 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
12.024 * [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))
12.025 * [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)))
12.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
12.025 * [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)))
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
12.025 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
12.026 * [backup-simplify]: Simplify 0 into 0
12.027 * [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
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [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
12.027 * [backup-simplify]: Simplify 0 into 0
12.028 * [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
12.028 * [backup-simplify]: Simplify 0 into 0
12.028 * [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)))
12.028 * * * * [progress]: [ 3 / 4 ] generating series at (2)
12.029 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.029 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
12.029 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
12.029 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.029 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
12.029 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.029 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.029 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
12.029 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
12.029 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
12.030 * [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))
12.030 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
12.030 * [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))
12.030 * [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))
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [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))
12.030 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
12.030 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
12.030 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
12.030 * [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))
12.031 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
12.031 * [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))
12.031 * [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))
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [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))
12.031 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
12.031 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.031 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
12.031 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
12.031 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.031 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
12.031 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.031 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.031 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
12.032 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
12.032 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
12.032 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
12.032 * [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))
12.032 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
12.032 * [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))
12.032 * [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))
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [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))
12.033 * [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))
12.033 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
12.033 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
12.033 * [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))
12.033 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
12.033 * [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))
12.033 * [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))
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [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))
12.033 * * * [progress]: simplifying candidates
12.035 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (log (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (exp (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (cbrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log1p (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (log (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (exp (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))
  (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
12.036 * * [simplify]: iteration 0: 67 enodes
12.050 * * [simplify]: iteration 1: 127 enodes
12.090 * * [simplify]: iteration 2: 616 enodes
12.706 * * [simplify]: iteration complete: 5000 enodes
12.706 * * [simplify]: Extracting #0: cost 28 inf + 0
12.711 * * [simplify]: Extracting #1: cost 1451 inf + 3
12.717 * * [simplify]: Extracting #2: cost 1676 inf + 345
12.722 * * [simplify]: Extracting #3: cost 1668 inf + 764
12.732 * * [simplify]: Extracting #4: cost 1525 inf + 39987
12.768 * * [simplify]: Extracting #5: cost 786 inf + 281365
12.843 * * [simplify]: Extracting #6: cost 70 inf + 552356
12.925 * * [simplify]: Extracting #7: cost 0 inf + 581569
13.007 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  1
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  1
  2
  1
  1
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  2
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  1
  2
  1
  (* (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (* (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (expm1 (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log1p (atan2 1.0 (fma (+ N 1.0) N 1)))
  (log (atan2 1.0 (fma (+ N 1.0) N 1)))
  (exp (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))))
  (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
  (atan2 1.0 (fma (+ N 1.0) N 1))
13.013 * * * [progress]: adding candidates to table
13.285 * [progress]: [Phase 3 of 3] Extracting.
13.286 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (* (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (atan2 (- (+ N 1.0) N) (cbrt (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>)
13.287 * * * [regime-changes]: Trying 1 branch expressions: (N)
13.287 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (* (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))))))> #<alt (λ (N) (atan2 (- (+ N 1.0) N) (cbrt (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N))))))> #<alt (λ (N) (atan2 1.0 (fma N (+ 1.0 N) 1)))>)
13.323 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
13.324 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ 1.0 N) 1))
13.324 * * [simplify]: iteration 0: 6 enodes
13.324 * * [simplify]: iteration 1: 9 enodes
13.325 * * [simplify]: iteration complete: 9 enodes
13.325 * * [simplify]: Extracting #0: cost 1 inf + 0
13.325 * * [simplify]: Extracting #1: cost 3 inf + 0
13.325 * * [simplify]: Extracting #2: cost 5 inf + 1
13.325 * * [simplify]: Extracting #3: cost 0 inf + 381
13.325 * [simplify]: Simplified to:
  (atan2 1.0 (fma N (+ N 1.0) 1))
14.994 * [regime-testing]: Baseline error score: 0.34165784121420245
15.003 * [regime-testing]: Oracle error score: 0.306653465667259
15.019 * [regime-testing]: End program error score: 0.34165784121420245
15.088 * [regime-testing]: Target error score: 0.3436580912454563