22.996 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.036 * * * [progress]: [2/2] Setting up program.
0.040 * [progress]: [Phase 2 of 3] Improving.
0.040 * [simplify]: Simplifying:
  (- (atan (+ N 1.0)) (atan N))
0.040 * * [simplify]: Extracting # 0 : cost  0
0.040 * * [simplify]: Extracting # 1 : cost  0
0.040 * * [simplify]: Extracting # 2 : cost  0
0.040 * * [simplify]: Extracting # 3 : cost  0
0.040 * * [simplify]: Extracting # 4 : cost  0
0.040 * * [simplify]: Extracting # 5 : cost  0
0.040 * * [simplify]: iteration  0 :  6  enodes  (cost  7 )
0.042 * * [simplify]: Extracting # 0 : cost  0
0.042 * * [simplify]: Extracting # 1 : cost  0
0.042 * * [simplify]: Extracting # 2 : cost  0
0.042 * * [simplify]: iteration  1 :  9  enodes  (cost  7 )
0.043 * * [simplify]: Extracting # 0 : cost  0
0.043 * * [simplify]: iteration  2 :  10  enodes  (cost  7 )
0.044 * * [simplify]: Extracting # 0 : cost  0
0.044 * * [simplify]: iteration done:  10  enodes  (cost  7 )
0.044 * [simplify]: Simplified to:
  (- (atan (+ N 1.0)) (atan N))
0.045 * * [progress]: iteration 1 / 4
0.045 * * * [progress]: picking best candidate
0.046 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1.0)) (atan N)))>
0.046 * * * [progress]: localizing error
0.053 * * * [progress]: generating rewritten candidates
0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.060 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.062 * * * [progress]: generating series expansions
0.062 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.062 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.062 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0
0.062 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.062 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.062 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.062 * [taylor]: Taking taylor expansion of (atan N) in N
0.062 * [backup-simplify]: Simplify (atan N) into (atan N)
0.062 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N
0.062 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.062 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.062 * [taylor]: Taking taylor expansion of (atan N) in N
0.062 * [backup-simplify]: Simplify (atan N) into (atan N)
0.063 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.063 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N))
0.063 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.063 * [backup-simplify]: Simplify (- 0) into 0
0.063 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify (- 0) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (- 0) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (- 0) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify (- 0) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N))
0.066 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.066 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0
0.066 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.066 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.066 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.066 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.066 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.066 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N
0.066 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.067 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.067 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.067 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.067 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.067 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.067 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N)))
0.067 * [backup-simplify]: Simplify (- 0) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify (- 0) into 0
0.070 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (- 0) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N))
0.071 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.072 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.072 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.072 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.072 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.072 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.072 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.072 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N
0.072 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.072 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.072 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.072 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.072 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.073 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.073 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N)))
0.073 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify (- 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- 0) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify (- 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N))
0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.078 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0
0.078 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.078 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N
0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.078 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.078 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0))
0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.079 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0
0.079 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.079 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N
0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.079 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0))
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1.0)) into (atan (+ N 1.0))
0.080 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1.0)) into (atan (- 1.0 (/ 1 N)))
0.080 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0
0.080 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.080 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.080 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N
0.080 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.081 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N)))
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 (/ 1 (- N))))) into (atan (+ N 1.0))
0.081 * * * [progress]: simplifying candidates
0.082 * [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))
0.084 * * [simplify]: Extracting # 0 : cost  0
0.085 * * [simplify]: Extracting # 1 : cost  0
0.085 * * [simplify]: Extracting # 2 : cost  0
0.085 * * [simplify]: Extracting # 3 : cost  0
0.085 * * [simplify]: Extracting # 4 : cost  0
0.085 * * [simplify]: Extracting # 5 : cost  0
0.085 * * [simplify]: Extracting # 6 : cost  0
0.086 * * [simplify]: iteration  0 :  66  enodes  (cost  624 )
0.111 * * [simplify]: Extracting # 0 : cost  0
0.111 * * [simplify]: Extracting # 1 : cost  0
0.112 * * [simplify]: Extracting # 2 : cost  0
0.112 * * [simplify]: Extracting # 3 : cost  0
0.112 * * [simplify]: Extracting # 4 : cost  0
0.113 * * [simplify]: iteration  1 :  131  enodes  (cost  503 )
0.187 * * [simplify]: Extracting # 0 : cost  0
0.187 * * [simplify]: Extracting # 1 : cost  0
0.188 * * [simplify]: Extracting # 2 : cost  0
0.188 * * [simplify]: Extracting # 3 : cost  0
0.189 * * [simplify]: Extracting # 4 : cost  0
0.189 * * [simplify]: iteration  2 :  296  enodes  (cost  416 )
0.420 * * [simplify]: Extracting # 0 : cost  0
0.422 * * [simplify]: Extracting # 1 : cost  0
0.423 * * [simplify]: Extracting # 2 : cost  0
0.424 * * [simplify]: Extracting # 3 : cost  0
0.425 * * [simplify]: Extracting # 4 : cost  0
0.426 * * [simplify]: iteration  3 :  1033  enodes  (cost  355 )
2.647 * * [simplify]: Extracting # 0 : cost  0
2.653 * * [simplify]: Extracting # 1 : cost  0
2.658 * * [simplify]: Extracting # 2 : cost  0
2.665 * * [simplify]: Extracting # 3 : cost  0
2.672 * * [simplify]: Extracting # 4 : cost  0
2.678 * * [simplify]: iteration  4 :  4029  enodes  (cost  344 )
4.197 * * [simplify]: Extracting # 0 : cost  0
4.208 * * [simplify]: Extracting # 1 : cost  0
4.213 * * [simplify]: iteration done:  5000  enodes  (cost  344 )
4.214 * [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))
4.214 * * * [progress]: adding candidates to table
4.307 * * [progress]: iteration 2 / 4
4.307 * * * [progress]: picking best candidate
4.311 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>
4.311 * * * [progress]: localizing error
4.317 * * * [progress]: generating rewritten candidates
4.317 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.318 * * * [progress]: generating series expansions
4.318 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.318 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.318 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
4.318 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.318 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.318 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
4.318 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.318 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
4.319 * [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))
4.319 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
4.319 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.319 * [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))
4.319 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
4.319 * [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))
4.319 * [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))
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [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))
4.320 * [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))
4.320 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
4.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.320 * [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))
4.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
4.320 * [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))
4.320 * [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))
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [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))
4.320 * * * [progress]: simplifying candidates
4.321 * [simplify]: Simplifying:
  (expm1 (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log1p (atan2 1.0 (fma N (+ N 1.0) 1)))
  (log (atan2 1.0 (fma N (+ N 1.0) 1)))
  (exp (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))
  (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
  (atan2 1.0 (fma N (+ N 1.0) 1))
4.321 * * [simplify]: Extracting # 0 : cost  0
4.321 * * [simplify]: Extracting # 1 : cost  0
4.321 * * [simplify]: Extracting # 2 : cost  0
4.321 * * [simplify]: Extracting # 3 : cost  0
4.321 * * [simplify]: Extracting # 4 : cost  0
4.321 * * [simplify]: Extracting # 5 : cost  0
4.321 * * [simplify]: iteration  0 :  15  enodes  (cost  132 )
4.324 * * [simplify]: Extracting # 0 : cost  0
4.324 * * [simplify]: Extracting # 1 : cost  0
4.324 * * [simplify]: Extracting # 2 : cost  0
4.324 * * [simplify]: iteration  1 :  21  enodes  (cost  132 )
4.327 * * [simplify]: Extracting # 0 : cost  0
4.327 * * [simplify]: Extracting # 1 : cost  0
4.327 * * [simplify]: Extracting # 2 : cost  0
4.327 * * [simplify]: iteration  2 :  32  enodes  (cost  116 )
4.333 * * [simplify]: Extracting # 0 : cost  0
4.333 * * [simplify]: Extracting # 1 : cost  0
4.333 * * [simplify]: Extracting # 2 : cost  0
4.333 * * [simplify]: Extracting # 3 : cost  0
4.333 * * [simplify]: iteration  3 :  56  enodes  (cost  116 )
4.350 * * [simplify]: Extracting # 0 : cost  0
4.350 * * [simplify]: Extracting # 1 : cost  0
4.351 * * [simplify]: Extracting # 2 : cost  0
4.351 * * [simplify]: Extracting # 3 : cost  0
4.351 * * [simplify]: iteration  4 :  68  enodes  (cost  116 )
4.372 * * [simplify]: Extracting # 0 : cost  0
4.373 * * [simplify]: Extracting # 1 : cost  0
4.373 * * [simplify]: Extracting # 2 : cost  0
4.373 * * [simplify]: Extracting # 3 : cost  0
4.373 * * [simplify]: Extracting # 4 : cost  0
4.373 * * [simplify]: iteration  5 :  78  enodes  (cost  116 )
4.386 * * [simplify]: Extracting # 0 : cost  0
4.386 * * [simplify]: Extracting # 1 : cost  0
4.386 * * [simplify]: Extracting # 2 : cost  0
4.386 * * [simplify]: Extracting # 3 : cost  0
4.387 * * [simplify]: Extracting # 4 : cost  0
4.387 * * [simplify]: iteration  6 :  99  enodes  (cost  116 )
4.409 * * [simplify]: Extracting # 0 : cost  0
4.409 * * [simplify]: Extracting # 1 : cost  0
4.410 * * [simplify]: Extracting # 2 : cost  0
4.410 * * [simplify]: Extracting # 3 : cost  0
4.410 * * [simplify]: Extracting # 4 : cost  0
4.411 * * [simplify]: iteration  7 :  168  enodes  (cost  116 )
4.510 * * [simplify]: Extracting # 0 : cost  0
4.511 * * [simplify]: Extracting # 1 : cost  0
4.512 * * [simplify]: Extracting # 2 : cost  0
4.512 * * [simplify]: Extracting # 3 : cost  0
4.513 * * [simplify]: Extracting # 4 : cost  0
4.513 * * [simplify]: iteration  8 :  435  enodes  (cost  116 )
5.321 * * [simplify]: Extracting # 0 : cost  0
5.323 * * [simplify]: Extracting # 1 : cost  0
5.324 * * [simplify]: Extracting # 2 : cost  0
5.326 * * [simplify]: Extracting # 3 : cost  0
5.329 * * [simplify]: Extracting # 4 : cost  0
5.331 * * [simplify]: iteration  9 :  1843  enodes  (cost  116 )
6.190 * * [simplify]: Extracting # 0 : cost  0
6.195 * * [simplify]: Extracting # 1 : cost  0
6.201 * * [simplify]: Extracting # 2 : cost  0
6.207 * * [simplify]: Extracting # 3 : cost  0
6.212 * * [simplify]: iteration done:  5001  enodes  (cost  116 )
6.212 * [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))
6.212 * * * [progress]: adding candidates to table
6.240 * * [progress]: iteration 3 / 4
6.240 * * * [progress]: picking best candidate
6.243 * * * * [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)))))>
6.243 * * * [progress]: localizing error
6.251 * * * [progress]: generating rewritten candidates
6.251 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
6.253 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
6.254 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
6.267 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
6.270 * * * [progress]: generating series expansions
6.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
6.270 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.270 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
6.270 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
6.270 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.270 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.270 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.271 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
6.271 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.271 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.271 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.271 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.271 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.272 * [backup-simplify]: Simplify 0 into 0
6.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.273 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [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
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.274 * [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)))
6.274 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
6.274 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.275 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.275 * [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))
6.275 * [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)))
6.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
6.275 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.275 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.275 * [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))
6.275 * [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)))
6.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
6.275 * [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)))
6.275 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [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
6.277 * [backup-simplify]: Simplify 0 into 0
6.278 * [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
6.278 * [backup-simplify]: Simplify 0 into 0
6.279 * [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
6.279 * [backup-simplify]: Simplify 0 into 0
6.279 * [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)))
6.279 * [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)))
6.279 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
6.279 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.279 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.279 * [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))
6.279 * [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)))
6.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
6.279 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.279 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.279 * [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))
6.280 * [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)))
6.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
6.280 * [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)))
6.280 * [backup-simplify]: Simplify 0 into 0
6.280 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
6.281 * [backup-simplify]: Simplify 0 into 0
6.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
6.281 * [backup-simplify]: Simplify 0 into 0
6.282 * [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
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [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
6.282 * [backup-simplify]: Simplify 0 into 0
6.283 * [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
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [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)))
6.283 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
6.283 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.283 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
6.283 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
6.283 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.284 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.284 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.284 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
6.284 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.284 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.284 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.284 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.284 * [backup-simplify]: Simplify 0 into 0
6.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.285 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.286 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.286 * [backup-simplify]: Simplify 0 into 0
6.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
6.287 * [backup-simplify]: Simplify 0 into 0
6.288 * [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
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
6.288 * [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)))
6.288 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
6.288 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.288 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.288 * [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))
6.288 * [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)))
6.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
6.288 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
6.288 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.288 * [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))
6.289 * [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)))
6.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
6.289 * [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)))
6.289 * [backup-simplify]: Simplify 0 into 0
6.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
6.289 * [backup-simplify]: Simplify 0 into 0
6.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
6.290 * [backup-simplify]: Simplify 0 into 0
6.291 * [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
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [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
6.291 * [backup-simplify]: Simplify 0 into 0
6.292 * [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
6.292 * [backup-simplify]: Simplify 0 into 0
6.292 * [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)))
6.292 * [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)))
6.292 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
6.292 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.292 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.293 * [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))
6.293 * [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)))
6.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
6.293 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
6.293 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.293 * [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))
6.293 * [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)))
6.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
6.293 * [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)))
6.293 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
6.294 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [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
6.295 * [backup-simplify]: Simplify 0 into 0
6.296 * [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
6.296 * [backup-simplify]: Simplify 0 into 0
6.297 * [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
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [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)))
6.297 * * * * [progress]: [ 3 / 4 ] generating series at (2)
6.297 * [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))
6.297 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
6.297 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.297 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.297 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.297 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.297 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.298 * [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))
6.298 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
6.298 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.298 * [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))
6.298 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.298 * [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))
6.298 * [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))
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.298 * [backup-simplify]: Simplify 0 into 0
6.299 * [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))
6.299 * [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))
6.299 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
6.299 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.299 * [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))
6.299 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.299 * [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))
6.299 * [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))
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 0 into 0
6.300 * [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))
6.300 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
6.300 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.300 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
6.300 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.300 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.300 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
6.300 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.300 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
6.300 * [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))
6.300 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
6.300 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.301 * [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))
6.301 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
6.301 * [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))
6.301 * [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))
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [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))
6.301 * [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))
6.301 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
6.301 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.301 * [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))
6.301 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
6.301 * [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))
6.302 * [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))
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify 0 into 0
6.302 * [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))
6.302 * * * [progress]: simplifying candidates
6.303 * [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))
6.305 * * [simplify]: Extracting # 0 : cost  0
6.305 * * [simplify]: Extracting # 1 : cost  0
6.305 * * [simplify]: Extracting # 2 : cost  0
6.306 * * [simplify]: Extracting # 3 : cost  0
6.306 * * [simplify]: Extracting # 4 : cost  0
6.306 * * [simplify]: Extracting # 5 : cost  0
6.306 * * [simplify]: Extracting # 6 : cost  0
6.310 * * [simplify]: iteration  0 :  63  enodes  (cost  1755 )
6.325 * * [simplify]: Extracting # 0 : cost  0
6.325 * * [simplify]: Extracting # 1 : cost  0
6.325 * * [simplify]: Extracting # 2 : cost  0
6.325 * * [simplify]: iteration  1 :  95  enodes  (cost  1200 )
6.342 * * [simplify]: Extracting # 0 : cost  0
6.342 * * [simplify]: Extracting # 1 : cost  0
6.342 * * [simplify]: Extracting # 2 : cost  0
6.342 * * [simplify]: Extracting # 3 : cost  0
6.343 * * [simplify]: Extracting # 4 : cost  0
6.343 * * [simplify]: Extracting # 5 : cost  0
6.343 * * [simplify]: iteration  2 :  212  enodes  (cost  1086 )
6.420 * * [simplify]: Extracting # 0 : cost  0
6.420 * * [simplify]: Extracting # 1 : cost  0
6.420 * * [simplify]: Extracting # 2 : cost  0
6.421 * * [simplify]: Extracting # 3 : cost  0
6.421 * * [simplify]: Extracting # 4 : cost  0
6.421 * * [simplify]: iteration  3 :  420  enodes  (cost  1041 )
6.621 * * [simplify]: Extracting # 0 : cost  0
6.622 * * [simplify]: Extracting # 1 : cost  0
6.623 * * [simplify]: Extracting # 2 : cost  0
6.624 * * [simplify]: Extracting # 3 : cost  0
6.625 * * [simplify]: Extracting # 4 : cost  0
6.626 * * [simplify]: iteration  4 :  858  enodes  (cost  1009 )
8.487 * * [simplify]: Extracting # 0 : cost  0
8.492 * * [simplify]: Extracting # 1 : cost  0
8.496 * * [simplify]: Extracting # 2 : cost  0
8.506 * * [simplify]: Extracting # 3 : cost  0
8.510 * * [simplify]: Extracting # 4 : cost  0
8.514 * * [simplify]: iteration  5 :  4816  enodes  (cost  982 )
10.477 * * [simplify]: Extracting # 0 : cost  0
10.487 * * [simplify]: Extracting # 1 : cost  0
10.492 * * [simplify]: Extracting # 2 : cost  0
10.496 * * [simplify]: iteration done:  5002  enodes  (cost  982 )
10.497 * [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))
10.497 * * * [progress]: adding candidates to table
10.660 * * [progress]: iteration 4 / 4
10.660 * * * [progress]: picking best candidate
10.669 * * * * [pick]: Picked  #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))>
10.669 * * * [progress]: localizing error
10.681 * * * [progress]: generating rewritten candidates
10.681 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
10.682 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
10.684 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
10.684 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
10.685 * * * [progress]: generating series expansions
10.685 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
10.685 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.685 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
10.685 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.685 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.686 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.686 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.686 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.686 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.686 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.686 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.686 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.686 * [backup-simplify]: Simplify 0 into 0
10.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.687 * [backup-simplify]: Simplify 0 into 0
10.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.688 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.690 * [backup-simplify]: Simplify 0 into 0
10.690 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.690 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.690 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
10.690 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.690 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.690 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.690 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.691 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.691 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.691 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.691 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.691 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.691 * [backup-simplify]: Simplify 0 into 0
10.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.692 * [backup-simplify]: Simplify 0 into 0
10.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.693 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.694 * [backup-simplify]: Simplify 0 into 0
10.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.694 * [backup-simplify]: Simplify 0 into 0
10.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.695 * [backup-simplify]: Simplify 0 into 0
10.695 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.695 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.695 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
10.695 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.695 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.695 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.696 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.696 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.696 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.696 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.696 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.696 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.696 * [backup-simplify]: Simplify 0 into 0
10.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.697 * [backup-simplify]: Simplify 0 into 0
10.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.697 * [backup-simplify]: Simplify 0 into 0
10.698 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.698 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.699 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.699 * [backup-simplify]: Simplify 0 into 0
10.700 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.700 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
10.700 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.700 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0
10.700 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.700 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.700 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.700 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.700 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N
10.700 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.700 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.700 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.701 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.701 * [backup-simplify]: Simplify 0 into 0
10.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.702 * [backup-simplify]: Simplify 0 into 0
10.702 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.702 * [backup-simplify]: Simplify 0 into 0
10.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.703 * [backup-simplify]: Simplify 0 into 0
10.704 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0
10.704 * [backup-simplify]: Simplify 0 into 0
10.704 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.704 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.704 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0
10.704 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.704 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.704 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.704 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.704 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N
10.704 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.704 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.705 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.705 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))
10.705 * [backup-simplify]: Simplify 0 into 0
10.705 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.705 * [backup-simplify]: Simplify 0 into 0
10.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.706 * [backup-simplify]: Simplify 0 into 0
10.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.707 * [backup-simplify]: Simplify 0 into 0
10.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.707 * [backup-simplify]: Simplify 0 into 0
10.708 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0
10.708 * [backup-simplify]: Simplify 0 into 0
10.708 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.708 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.708 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0
10.708 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.708 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.708 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.709 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.709 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N
10.709 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.709 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.709 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.709 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))
10.709 * [backup-simplify]: Simplify 0 into 0
10.710 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.710 * [backup-simplify]: Simplify 0 into 0
10.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.711 * [backup-simplify]: Simplify 0 into 0
10.711 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.711 * [backup-simplify]: Simplify 0 into 0
10.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.712 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))
10.713 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
10.713 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.713 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
10.713 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.713 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.713 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.713 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.713 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.714 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.714 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
10.714 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.714 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.714 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.714 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.714 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.714 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.714 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.714 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
10.714 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.715 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.715 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.715 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.715 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.715 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
10.715 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.715 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0
10.715 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.715 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.715 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N
10.715 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.716 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.716 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.716 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0
10.716 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.716 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.716 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N
10.716 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.716 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 0 into 0
10.717 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.717 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ (/ 1 (- N)) 1.0) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.717 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0
10.717 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.717 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.717 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N
10.717 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.717 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))
10.717 * [backup-simplify]: Simplify 0 into 0
10.717 * [backup-simplify]: Simplify 0 into 0
10.717 * [backup-simplify]: Simplify 0 into 0
10.717 * [backup-simplify]: Simplify 0 into 0
10.717 * [backup-simplify]: Simplify 0 into 0
10.717 * [backup-simplify]: Simplify 0 into 0
10.717 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1))
10.717 * * * [progress]: simplifying candidates
10.718 * [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))
10.719 * * [simplify]: Extracting # 0 : cost  0
10.719 * * [simplify]: Extracting # 1 : cost  0
10.719 * * [simplify]: Extracting # 2 : cost  0
10.719 * * [simplify]: Extracting # 3 : cost  0
10.719 * * [simplify]: Extracting # 4 : cost  0
10.719 * * [simplify]: Extracting # 5 : cost  0
10.719 * * [simplify]: Extracting # 6 : cost  0
10.719 * * [simplify]: iteration  0 :  29  enodes  (cost  686 )
10.725 * * [simplify]: Extracting # 0 : cost  0
10.725 * * [simplify]: Extracting # 1 : cost  0
10.725 * * [simplify]: Extracting # 2 : cost  0
10.725 * * [simplify]: iteration  1 :  38  enodes  (cost  638 )
10.734 * * [simplify]: Extracting # 0 : cost  0
10.734 * * [simplify]: Extracting # 1 : cost  0
10.734 * * [simplify]: Extracting # 2 : cost  0
10.734 * * [simplify]: iteration  2 :  60  enodes  (cost  592 )
10.746 * * [simplify]: Extracting # 0 : cost  0
10.746 * * [simplify]: Extracting # 1 : cost  0
10.746 * * [simplify]: Extracting # 2 : cost  0
10.746 * * [simplify]: Extracting # 3 : cost  0
10.746 * * [simplify]: Extracting # 4 : cost  0
10.746 * * [simplify]: iteration  3 :  97  enodes  (cost  592 )
10.763 * * [simplify]: Extracting # 0 : cost  0
10.763 * * [simplify]: Extracting # 1 : cost  0
10.763 * * [simplify]: Extracting # 2 : cost  0
10.764 * * [simplify]: Extracting # 3 : cost  0
10.764 * * [simplify]: Extracting # 4 : cost  0
10.764 * * [simplify]: iteration  4 :  143  enodes  (cost  592 )
10.791 * * [simplify]: Extracting # 0 : cost  0
10.792 * * [simplify]: Extracting # 1 : cost  0
10.792 * * [simplify]: Extracting # 2 : cost  0
10.792 * * [simplify]: Extracting # 3 : cost  0
10.792 * * [simplify]: Extracting # 4 : cost  0
10.792 * * [simplify]: iteration  5 :  244  enodes  (cost  592 )
10.875 * * [simplify]: Extracting # 0 : cost  0
10.875 * * [simplify]: Extracting # 1 : cost  0
10.876 * * [simplify]: Extracting # 2 : cost  0
10.876 * * [simplify]: Extracting # 3 : cost  0
10.877 * * [simplify]: Extracting # 4 : cost  0
10.877 * * [simplify]: iteration  6 :  529  enodes  (cost  592 )
11.259 * * [simplify]: Extracting # 0 : cost  0
11.261 * * [simplify]: Extracting # 1 : cost  0
11.262 * * [simplify]: Extracting # 2 : cost  0
11.263 * * [simplify]: Extracting # 3 : cost  0
11.265 * * [simplify]: Extracting # 4 : cost  0
11.266 * * [simplify]: Extracting # 5 : cost  0
11.267 * * [simplify]: iteration  7 :  1652  enodes  (cost  592 )
11.852 * * [simplify]: Extracting # 0 : cost  0
11.856 * * [simplify]: Extracting # 1 : cost  0
11.862 * * [simplify]: Extracting # 2 : cost  0
11.868 * * [simplify]: Extracting # 3 : cost  0
11.874 * * [simplify]: Extracting # 4 : cost  0
11.879 * * [simplify]: iteration done:  5000  enodes  (cost  592 )
11.880 * [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))
11.880 * * * [progress]: adding candidates to table
12.049 * [progress]: [Phase 3 of 3] Extracting.
12.049 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (/ (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N))))> #<alt (λ (N) (* (pow (sqrt (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3))) 3) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (* (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) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>)
12.050 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N)
12.050 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (#<alt (λ (N) (/ (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N))))> #<alt (λ (N) (* (pow (sqrt (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3))) 3) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (* (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) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>)
12.078 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (/ (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N))))> #<alt (λ (N) (* (pow (sqrt (cbrt (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3))) 3) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))))> #<alt (λ (N) (* (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (* (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) (- (atan (+ N 1.0)) (atan N)))> #<alt (λ (N) (atan2 1.0 (fma N (+ N 1.0) 1)))>)
12.100 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
12.100 * [simplify]: Simplifying:
  (atan2 1.0 (fma N (+ N 1.0) 1))
12.100 * * [simplify]: Extracting # 0 : cost  0
12.100 * * [simplify]: Extracting # 1 : cost  0
12.100 * * [simplify]: Extracting # 2 : cost  0
12.100 * * [simplify]: Extracting # 3 : cost  0
12.100 * * [simplify]: Extracting # 4 : cost  0
12.100 * * [simplify]: iteration  0 :  6  enodes  (cost  8 )
12.101 * * [simplify]: Extracting # 0 : cost  0
12.101 * * [simplify]: iteration  1 :  9  enodes  (cost  8 )
12.101 * * [simplify]: Extracting # 0 : cost  0
12.101 * * [simplify]: iteration done:  9  enodes  (cost  8 )
12.101 * [simplify]: Simplified to:
  (atan2 1.0 (fma N (+ N 1.0) 1))
13.172 * [regime-testing]: Baseline error score: 0.43131677010886443
13.173 * [regime-testing]: Oracle error score: 0.3964374101888746
13.174 * [regime-testing]: End program error score: 0.43131677010886443
13.195 * [regime-testing]: Target error score: 0.43446340406328904