21.374 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.029 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.031 * * [simplify]: Extracting # 0 : cost  0
0.031 * * [simplify]: Extracting # 1 : cost  0
0.031 * * [simplify]: Extracting # 2 : cost  0
0.031 * * [simplify]: Extracting # 3 : cost  0
0.031 * * [simplify]: Extracting # 4 : cost  0
0.031 * * [simplify]: Extracting # 5 : cost  0
0.031 * * [simplify]: iteration  0 :  6  enodes  (cost  7 )
0.032 * * [simplify]: Extracting # 0 : cost  0
0.032 * * [simplify]: Extracting # 1 : cost  0
0.032 * * [simplify]: Extracting # 2 : cost  0
0.032 * * [simplify]: iteration  1 :  9  enodes  (cost  7 )
0.034 * * [simplify]: Extracting # 0 : cost  0
0.034 * * [simplify]: iteration  2 :  10  enodes  (cost  7 )
0.035 * * [simplify]: Extracting # 0 : cost  0
0.035 * * [simplify]: iteration done:  10  enodes  (cost  7 )
0.035 * [simplify]: Simplified to:
  (- (atan (+ N 1.0)) (atan N))
0.035 * * [progress]: iteration 1 / 4
0.035 * * * [progress]: picking best candidate
0.037 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.037 * * * [progress]: localizing error
0.042 * * * [progress]: generating rewritten candidates
0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.051 * * * [progress]: generating series expansions
0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.051 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.051 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.051 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.051 * [taylor]: Taking taylor expansion of (atan N) in N
0.051 * [backup-simplify]: Simplify (atan N) into (atan N)
0.051 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.051 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.051 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.051 * [taylor]: Taking taylor expansion of (atan N) in N
0.051 * [backup-simplify]: Simplify (atan N) into (atan N)
0.051 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.051 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.052 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.052 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- 0) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- 0) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (- 0) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (- 0) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.055 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.055 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.055 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.055 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.055 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.055 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.055 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.055 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.055 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.055 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.055 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.055 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (- 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify (- 0) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify (- 0) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (- 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.059 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.059 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.059 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.059 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.059 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.059 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.059 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.059 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.060 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.060 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.060 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.060 * [backup-simplify]: Simplify (+ 0 0) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- 0) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (- 0) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify 0 into 0
0.061 * [backup-simplify]: Simplify (- 0) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (- 0) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify (- 0) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.063 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.064 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.064 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.064 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.065 * * * [progress]: simplifying candidates
0.065 * [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))
0.066 * * [simplify]: Extracting # 0 : cost  0
0.066 * * [simplify]: Extracting # 1 : cost  0
0.066 * * [simplify]: Extracting # 2 : cost  0
0.067 * * [simplify]: Extracting # 3 : cost  0
0.067 * * [simplify]: Extracting # 4 : cost  0
0.067 * * [simplify]: Extracting # 5 : cost  0
0.067 * * [simplify]: Extracting # 6 : cost  0
0.067 * * [simplify]: iteration  0 :  66  enodes  (cost  624 )
0.079 * * [simplify]: Extracting # 0 : cost  0
0.079 * * [simplify]: Extracting # 1 : cost  0
0.079 * * [simplify]: Extracting # 2 : cost  0
0.079 * * [simplify]: Extracting # 3 : cost  0
0.079 * * [simplify]: Extracting # 4 : cost  0
0.080 * * [simplify]: iteration  1 :  131  enodes  (cost  503 )
0.118 * * [simplify]: Extracting # 0 : cost  0
0.119 * * [simplify]: Extracting # 1 : cost  0
0.119 * * [simplify]: Extracting # 2 : cost  0
0.119 * * [simplify]: Extracting # 3 : cost  0
0.119 * * [simplify]: Extracting # 4 : cost  0
0.120 * * [simplify]: iteration  2 :  296  enodes  (cost  416 )
0.252 * * [simplify]: Extracting # 0 : cost  0
0.253 * * [simplify]: Extracting # 1 : cost  0
0.254 * * [simplify]: Extracting # 2 : cost  0
0.255 * * [simplify]: Extracting # 3 : cost  0
0.256 * * [simplify]: Extracting # 4 : cost  0
0.257 * * [simplify]: iteration  3 :  1033  enodes  (cost  355 )
1.761 * * [simplify]: Extracting # 0 : cost  0
1.766 * * [simplify]: Extracting # 1 : cost  0
1.770 * * [simplify]: Extracting # 2 : cost  0
1.774 * * [simplify]: Extracting # 3 : cost  0
1.777 * * [simplify]: Extracting # 4 : cost  0
1.781 * * [simplify]: iteration  4 :  4029  enodes  (cost  344 )
2.979 * * [simplify]: Extracting # 0 : cost  0
2.990 * * [simplify]: Extracting # 1 : cost  0
2.994 * * [simplify]: iteration done:  5000  enodes  (cost  344 )
2.995 * [simplify]: Simplified to:
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (- (atan (+ N 1.0)) (atan N))
  0
  (expm1 (- (atan (+ N 1.0)) (atan N)))
  (log1p (- (atan (+ N 1.0)) (atan N)))
  (- (atan N))
  (- (atan N))
  (- (atan N))
  1.0
  (fma N (+ N 1.0) 1)
  (exp (- (atan (+ N 1.0)) (atan N)))
  (log (- (atan (+ N 1.0)) (atan N)))
  (exp (- (atan (+ N 1.0)) (atan N)))
  (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N))))
  (cbrt (- (atan (+ N 1.0)) (atan N)))
  (pow (- (atan (+ N 1.0)) (atan N)) 3)
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (sqrt (- (atan (+ N 1.0)) (atan N)))
  (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3))
  (fma (atan N) (atan N) (* (+ (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0))))
  (- (atan N))
  (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N)))
  (+ (atan (+ N 1.0)) (atan N))
  (+ (sqrt (atan (+ N 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)))
  (pow (atan (+ N 1.0)) 3)
  (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))
2.995 * * * [progress]: adding candidates to table
3.062 * * [progress]: iteration 2 / 4
3.062 * * * [progress]: picking best candidate
3.064 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>
3.064 * * * [progress]: localizing error
3.069 * * * [progress]: generating rewritten candidates
3.069 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
3.070 * * * [progress]: generating series expansions
3.070 * * * * [progress]: [ 1 / 1 ] generating series at (2)
3.070 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.070 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
3.070 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
3.070 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.070 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
3.070 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.070 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
3.071 * [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))
3.071 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
3.071 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
3.071 * [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))
3.071 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
3.071 * [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))
3.071 * [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))
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [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))
3.072 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
3.072 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
3.072 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
3.072 * [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))
3.072 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
3.072 * [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))
3.072 * [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))
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [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))
3.072 * * * [progress]: simplifying candidates
3.073 * [simplify]: Simplifying:
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
3.073 * * [simplify]: Extracting # 0 : cost  0
3.073 * * [simplify]: Extracting # 1 : cost  0
3.073 * * [simplify]: Extracting # 2 : cost  0
3.073 * * [simplify]: Extracting # 3 : cost  0
3.073 * * [simplify]: Extracting # 4 : cost  0
3.073 * * [simplify]: Extracting # 5 : cost  0
3.073 * * [simplify]: iteration  0 :  15  enodes  (cost  132 )
3.075 * * [simplify]: Extracting # 0 : cost  0
3.076 * * [simplify]: Extracting # 1 : cost  0
3.076 * * [simplify]: Extracting # 2 : cost  0
3.076 * * [simplify]: iteration  1 :  21  enodes  (cost  132 )
3.078 * * [simplify]: Extracting # 0 : cost  0
3.078 * * [simplify]: Extracting # 1 : cost  0
3.078 * * [simplify]: Extracting # 2 : cost  0
3.079 * * [simplify]: iteration  2 :  32  enodes  (cost  116 )
3.084 * * [simplify]: Extracting # 0 : cost  0
3.084 * * [simplify]: Extracting # 1 : cost  0
3.084 * * [simplify]: Extracting # 2 : cost  0
3.084 * * [simplify]: Extracting # 3 : cost  0
3.084 * * [simplify]: iteration  3 :  56  enodes  (cost  116 )
3.093 * * [simplify]: Extracting # 0 : cost  0
3.093 * * [simplify]: Extracting # 1 : cost  0
3.093 * * [simplify]: Extracting # 2 : cost  0
3.093 * * [simplify]: Extracting # 3 : cost  0
3.093 * * [simplify]: iteration  4 :  68  enodes  (cost  116 )
3.105 * * [simplify]: Extracting # 0 : cost  0
3.105 * * [simplify]: Extracting # 1 : cost  0
3.105 * * [simplify]: Extracting # 2 : cost  0
3.105 * * [simplify]: Extracting # 3 : cost  0
3.105 * * [simplify]: Extracting # 4 : cost  0
3.106 * * [simplify]: iteration  5 :  78  enodes  (cost  116 )
3.116 * * [simplify]: Extracting # 0 : cost  0
3.117 * * [simplify]: Extracting # 1 : cost  0
3.117 * * [simplify]: Extracting # 2 : cost  0
3.117 * * [simplify]: Extracting # 3 : cost  0
3.117 * * [simplify]: Extracting # 4 : cost  0
3.117 * * [simplify]: iteration  6 :  99  enodes  (cost  116 )
3.135 * * [simplify]: Extracting # 0 : cost  0
3.136 * * [simplify]: Extracting # 1 : cost  0
3.136 * * [simplify]: Extracting # 2 : cost  0
3.136 * * [simplify]: Extracting # 3 : cost  0
3.136 * * [simplify]: Extracting # 4 : cost  0
3.136 * * [simplify]: iteration  7 :  168  enodes  (cost  116 )
3.200 * * [simplify]: Extracting # 0 : cost  0
3.201 * * [simplify]: Extracting # 1 : cost  0
3.201 * * [simplify]: Extracting # 2 : cost  0
3.201 * * [simplify]: Extracting # 3 : cost  0
3.202 * * [simplify]: Extracting # 4 : cost  0
3.202 * * [simplify]: iteration  8 :  435  enodes  (cost  116 )
3.830 * * [simplify]: Extracting # 0 : cost  0
3.832 * * [simplify]: Extracting # 1 : cost  0
3.833 * * [simplify]: Extracting # 2 : cost  0
3.834 * * [simplify]: Extracting # 3 : cost  0
3.835 * * [simplify]: Extracting # 4 : cost  0
3.836 * * [simplify]: iteration  9 :  1843  enodes  (cost  116 )
4.528 * * [simplify]: Extracting # 0 : cost  0
4.532 * * [simplify]: Extracting # 1 : cost  0
4.538 * * [simplify]: Extracting # 2 : cost  0
4.543 * * [simplify]: Extracting # 3 : cost  0
4.548 * * [simplify]: iteration done:  5001  enodes  (cost  116 )
4.548 * [simplify]: Simplified to:
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
4.548 * * * [progress]: adding candidates to table
4.573 * * [progress]: iteration 3 / 4
4.573 * * * [progress]: picking best candidate
4.579 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))>
4.579 * * * [progress]: localizing error
4.586 * * * [progress]: generating rewritten candidates
4.586 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.588 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
4.602 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
4.604 * * * [progress]: generating series expansions
4.604 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.604 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.604 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
4.604 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
4.604 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.604 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.605 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.605 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
4.605 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.605 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.605 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.605 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.605 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.606 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.607 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [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
4.608 * [backup-simplify]: Simplify 0 into 0
4.608 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.608 * [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)))
4.608 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
4.608 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
4.608 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.609 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.609 * [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)))
4.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
4.609 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
4.609 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.609 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.609 * [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)))
4.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
4.609 * [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)))
4.609 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [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
4.611 * [backup-simplify]: Simplify 0 into 0
4.612 * [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
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [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
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [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)))
4.613 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
4.613 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
4.613 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
4.613 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.613 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.613 * [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)))
4.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
4.613 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
4.613 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.613 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.613 * [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)))
4.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
4.614 * [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)))
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
4.614 * [backup-simplify]: Simplify 0 into 0
4.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
4.615 * [backup-simplify]: Simplify 0 into 0
4.615 * [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
4.615 * [backup-simplify]: Simplify 0 into 0
4.616 * [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
4.616 * [backup-simplify]: Simplify 0 into 0
4.617 * [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
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [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)))
4.617 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.617 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.618 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
4.618 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
4.618 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.618 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.618 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.618 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
4.618 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.618 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.618 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.618 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.618 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.619 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
4.620 * [backup-simplify]: Simplify 0 into 0
4.621 * [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
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
4.621 * [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)))
4.621 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
4.621 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
4.621 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.621 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.622 * [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)))
4.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
4.622 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
4.622 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.622 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.622 * [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)))
4.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
4.622 * [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)))
4.622 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
4.623 * [backup-simplify]: Simplify 0 into 0
4.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
4.623 * [backup-simplify]: Simplify 0 into 0
4.624 * [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
4.624 * [backup-simplify]: Simplify 0 into 0
4.624 * [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
4.625 * [backup-simplify]: Simplify 0 into 0
4.625 * [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
4.625 * [backup-simplify]: Simplify 0 into 0
4.625 * [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)))
4.625 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
4.625 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
4.625 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
4.626 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.626 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.626 * [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)))
4.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
4.626 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
4.626 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.626 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.626 * [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)))
4.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
4.626 * [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)))
4.626 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
4.627 * [backup-simplify]: Simplify 0 into 0
4.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
4.627 * [backup-simplify]: Simplify 0 into 0
4.628 * [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
4.628 * [backup-simplify]: Simplify 0 into 0
4.629 * [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
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [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
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [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)))
4.629 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.630 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.630 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
4.630 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.630 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.630 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.630 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.630 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.630 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.630 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
4.630 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.631 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.631 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.631 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.631 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.631 * [backup-simplify]: Simplify (* (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)))) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.631 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
4.631 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.631 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.631 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.632 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.632 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.632 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.632 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.632 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
4.632 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.632 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.632 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.632 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.632 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.633 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.633 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
4.633 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.633 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.633 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.633 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.633 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.633 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.633 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
4.633 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.634 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.634 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.634 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.634 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.634 * * * [progress]: simplifying candidates
4.635 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (+ 1 1)
  (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (exp (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* 1 1)
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt 1))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1)
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
4.637 * * [simplify]: Extracting # 0 : cost  0
4.637 * * [simplify]: Extracting # 1 : cost  0
4.637 * * [simplify]: Extracting # 2 : cost  0
4.637 * * [simplify]: Extracting # 3 : cost  0
4.638 * * [simplify]: Extracting # 4 : cost  0
4.638 * * [simplify]: Extracting # 5 : cost  0
4.638 * * [simplify]: Extracting # 6 : cost  0
4.638 * * [simplify]: iteration  0 :  63  enodes  (cost  1755 )
4.655 * * [simplify]: Extracting # 0 : cost  0
4.655 * * [simplify]: Extracting # 1 : cost  0
4.655 * * [simplify]: Extracting # 2 : cost  0
4.656 * * [simplify]: iteration  1 :  95  enodes  (cost  1200 )
4.671 * * [simplify]: Extracting # 0 : cost  0
4.671 * * [simplify]: Extracting # 1 : cost  0
4.671 * * [simplify]: Extracting # 2 : cost  0
4.671 * * [simplify]: Extracting # 3 : cost  0
4.671 * * [simplify]: Extracting # 4 : cost  0
4.672 * * [simplify]: Extracting # 5 : cost  0
4.672 * * [simplify]: iteration  2 :  212  enodes  (cost  1086 )
4.745 * * [simplify]: Extracting # 0 : cost  0
4.746 * * [simplify]: Extracting # 1 : cost  0
4.746 * * [simplify]: Extracting # 2 : cost  0
4.746 * * [simplify]: Extracting # 3 : cost  0
4.746 * * [simplify]: Extracting # 4 : cost  0
4.747 * * [simplify]: iteration  3 :  420  enodes  (cost  1041 )
4.935 * * [simplify]: Extracting # 0 : cost  0
4.936 * * [simplify]: Extracting # 1 : cost  0
4.937 * * [simplify]: Extracting # 2 : cost  0
4.938 * * [simplify]: Extracting # 3 : cost  0
4.938 * * [simplify]: Extracting # 4 : cost  0
4.939 * * [simplify]: iteration  4 :  858  enodes  (cost  1009 )
6.846 * * [simplify]: Extracting # 0 : cost  0
6.851 * * [simplify]: Extracting # 1 : cost  0
6.855 * * [simplify]: Extracting # 2 : cost  0
6.864 * * [simplify]: Extracting # 3 : cost  0
6.867 * * [simplify]: Extracting # 4 : cost  0
6.871 * * [simplify]: iteration  5 :  4816  enodes  (cost  982 )
8.977 * * [simplify]: Extracting # 0 : cost  0
8.987 * * [simplify]: Extracting # 1 : cost  0
8.991 * * [simplify]: Extracting # 2 : cost  0
8.995 * * [simplify]: iteration done:  5002  enodes  (cost  982 )
8.995 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 2)
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3)
  (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  1
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 2)
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3)
  (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  1
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  1
  1
  2
  1
  1
  (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4)
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4)
  2
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3)
  (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4)
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3)
  (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4)
  (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 2)
  (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4)
  (cbrt (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)))
  1
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  1
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  1
  2
  1
  (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 5)
  (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4)
  (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4)
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
8.996 * * * [progress]: adding candidates to table
9.145 * * [progress]: iteration 4 / 4
9.145 * * * [progress]: picking best candidate
9.155 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))>
9.155 * * * [progress]: localizing error
9.165 * * * [progress]: generating rewritten candidates
9.165 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
9.167 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
9.168 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
9.168 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
9.169 * * * [progress]: generating series expansions
9.169 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
9.169 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.169 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
9.169 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.169 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.169 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.170 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.170 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.170 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.170 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.170 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.170 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.170 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.171 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.171 * [backup-simplify]: Simplify 0 into 0
9.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.172 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.173 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.173 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
9.173 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.173 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.174 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.174 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.174 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.174 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.174 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.174 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.174 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.174 * [backup-simplify]: Simplify 0 into 0
9.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.175 * [backup-simplify]: Simplify 0 into 0
9.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.175 * [backup-simplify]: Simplify 0 into 0
9.176 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.176 * [backup-simplify]: Simplify 0 into 0
9.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.177 * [backup-simplify]: Simplify 0 into 0
9.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.177 * [backup-simplify]: Simplify 0 into 0
9.177 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.178 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.178 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
9.178 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.178 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.178 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.178 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.178 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.178 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.178 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.178 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.178 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.179 * [backup-simplify]: Simplify 0 into 0
9.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.179 * [backup-simplify]: Simplify 0 into 0
9.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.180 * [backup-simplify]: Simplify 0 into 0
9.180 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.180 * [backup-simplify]: Simplify 0 into 0
9.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.181 * [backup-simplify]: Simplify 0 into 0
9.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.181 * [backup-simplify]: Simplify 0 into 0
9.182 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.182 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
9.182 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.182 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
9.182 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.182 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.182 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.182 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
9.182 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.182 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.182 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.182 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.183 * [backup-simplify]: Simplify 0 into 0
9.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.183 * [backup-simplify]: Simplify 0 into 0
9.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.184 * [backup-simplify]: Simplify 0 into 0
9.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.184 * [backup-simplify]: Simplify 0 into 0
9.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.185 * [backup-simplify]: Simplify 0 into 0
9.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
9.185 * [backup-simplify]: Simplify 0 into 0
9.185 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.186 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.186 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
9.186 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.186 * [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))
9.186 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.186 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
9.186 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.186 * [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))
9.186 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.186 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
9.186 * [backup-simplify]: Simplify 0 into 0
9.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.187 * [backup-simplify]: Simplify 0 into 0
9.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.188 * [backup-simplify]: Simplify 0 into 0
9.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.188 * [backup-simplify]: Simplify 0 into 0
9.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.189 * [backup-simplify]: Simplify 0 into 0
9.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
9.189 * [backup-simplify]: Simplify 0 into 0
9.190 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.190 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.190 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
9.190 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.190 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.190 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.190 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
9.190 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.190 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.191 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.191 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
9.191 * [backup-simplify]: Simplify 0 into 0
9.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.191 * [backup-simplify]: Simplify 0 into 0
9.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.192 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.193 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
9.194 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
9.194 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.194 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
9.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.194 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.194 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.194 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.195 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.195 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
9.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.195 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.195 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.195 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.195 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.195 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.195 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
9.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.196 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.196 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.196 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.196 * [backup-simplify]: Simplify 0 into 0
9.196 * [backup-simplify]: Simplify 0 into 0
9.196 * [backup-simplify]: Simplify 0 into 0
9.196 * [backup-simplify]: Simplify 0 into 0
9.196 * [backup-simplify]: Simplify 0 into 0
9.196 * [backup-simplify]: Simplify 0 into 0
9.196 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.196 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
9.196 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.196 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
9.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.196 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.196 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
9.196 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.197 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.197 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.197 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
9.197 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.197 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.197 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
9.197 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.197 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.198 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.198 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
9.198 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.198 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.198 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
9.198 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.198 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
9.198 * * * [progress]: simplifying candidates
9.199 * [simplify]: Simplifying:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt 1)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (/ 1 2)
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
9.200 * * [simplify]: Extracting # 0 : cost  0
9.200 * * [simplify]: Extracting # 1 : cost  0
9.200 * * [simplify]: Extracting # 2 : cost  0
9.200 * * [simplify]: Extracting # 3 : cost  0
9.200 * * [simplify]: Extracting # 4 : cost  0
9.200 * * [simplify]: Extracting # 5 : cost  0
9.200 * * [simplify]: Extracting # 6 : cost  0
9.200 * * [simplify]: iteration  0 :  29  enodes  (cost  686 )
9.205 * * [simplify]: Extracting # 0 : cost  0
9.205 * * [simplify]: Extracting # 1 : cost  0
9.205 * * [simplify]: Extracting # 2 : cost  0
9.205 * * [simplify]: iteration  1 :  38  enodes  (cost  638 )
9.210 * * [simplify]: Extracting # 0 : cost  0
9.210 * * [simplify]: Extracting # 1 : cost  0
9.210 * * [simplify]: Extracting # 2 : cost  0
9.210 * * [simplify]: iteration  2 :  60  enodes  (cost  592 )
9.223 * * [simplify]: Extracting # 0 : cost  0
9.223 * * [simplify]: Extracting # 1 : cost  0
9.223 * * [simplify]: Extracting # 2 : cost  0
9.224 * * [simplify]: Extracting # 3 : cost  0
9.224 * * [simplify]: Extracting # 4 : cost  0
9.224 * * [simplify]: iteration  3 :  97  enodes  (cost  592 )
9.240 * * [simplify]: Extracting # 0 : cost  0
9.240 * * [simplify]: Extracting # 1 : cost  0
9.242 * * [simplify]: Extracting # 2 : cost  0
9.242 * * [simplify]: Extracting # 3 : cost  0
9.242 * * [simplify]: Extracting # 4 : cost  0
9.242 * * [simplify]: iteration  4 :  143  enodes  (cost  592 )
9.269 * * [simplify]: Extracting # 0 : cost  0
9.270 * * [simplify]: Extracting # 1 : cost  0
9.270 * * [simplify]: Extracting # 2 : cost  0
9.270 * * [simplify]: Extracting # 3 : cost  0
9.270 * * [simplify]: Extracting # 4 : cost  0
9.270 * * [simplify]: iteration  5 :  244  enodes  (cost  592 )
9.352 * * [simplify]: Extracting # 0 : cost  0
9.352 * * [simplify]: Extracting # 1 : cost  0
9.353 * * [simplify]: Extracting # 2 : cost  0
9.353 * * [simplify]: Extracting # 3 : cost  0
9.353 * * [simplify]: Extracting # 4 : cost  0
9.354 * * [simplify]: iteration  6 :  529  enodes  (cost  592 )
9.745 * * [simplify]: Extracting # 0 : cost  0
9.747 * * [simplify]: Extracting # 1 : cost  0
9.748 * * [simplify]: Extracting # 2 : cost  0
9.749 * * [simplify]: Extracting # 3 : cost  0
9.750 * * [simplify]: Extracting # 4 : cost  0
9.751 * * [simplify]: Extracting # 5 : cost  0
9.753 * * [simplify]: iteration  7 :  1652  enodes  (cost  592 )
10.345 * * [simplify]: Extracting # 0 : cost  0
10.349 * * [simplify]: Extracting # 1 : cost  0
10.355 * * [simplify]: Extracting # 2 : cost  0
10.360 * * [simplify]: Extracting # 3 : cost  0
10.365 * * [simplify]: Extracting # 4 : cost  0
10.370 * * [simplify]: iteration done:  5000  enodes  (cost  592 )
10.371 * [simplify]: Simplified to:
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3)
  (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  1
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))
  (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3)
  (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  1
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  1/2
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3)
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
10.371 * * * [progress]: adding candidates to table
10.528 * [progress]: [Phase 3 of 3] Extracting.
10.528 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (* (sqrt (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))>)
10.529 * * * [regime-changes]: Trying 1 branch expressions: (N)
10.529 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))> #<alt (λ (N) (* (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))> #<alt (λ (N) (* (sqrt (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3)))>)
10.550 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
10.550 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ N 1.0) 1))
10.550 * * [simplify]: Extracting # 0 : cost  0
10.550 * * [simplify]: Extracting # 1 : cost  0
10.550 * * [simplify]: Extracting # 2 : cost  0
10.550 * * [simplify]: Extracting # 3 : cost  0
10.550 * * [simplify]: Extracting # 4 : cost  0
10.550 * * [simplify]: iteration  0 :  6  enodes  (cost  8 )
10.550 * * [simplify]: Extracting # 0 : cost  0
10.550 * * [simplify]: iteration  1 :  9  enodes  (cost  8 )
10.551 * * [simplify]: Extracting # 0 : cost  0
10.551 * * [simplify]: iteration done:  9  enodes  (cost  8 )
10.551 * [simplify]: Simplified to:
  (atan2 1.0 (fma N (+ N 1.0) 1))
11.548 * [regime-testing]: Baseline error score: 0.33440225703126164
11.549 * [regime-testing]: Oracle error score: 0.2955223970487637
11.550 * [regime-testing]: End program error score: 0.33440225703126164
11.572 * [regime-testing]: Target error score: 0.33615247580860874