68.185 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.202 * * * [progress]: [2/2] Setting up program.
0.208 * [progress]: [Phase 2 of 3] Improving.
0.209 * [simplify]: Simplifying:
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.209 * * [simplify]: Extracting # 0 : cost  0
0.209 * * [simplify]: Extracting # 1 : cost  0
0.209 * * [simplify]: Extracting # 2 : cost  0
0.209 * * [simplify]: Extracting # 3 : cost  0
0.209 * * [simplify]: Extracting # 4 : cost  0
0.209 * * [simplify]: Extracting # 5 : cost  0
0.209 * * [simplify]: Extracting # 6 : cost  0
0.209 * * [simplify]: Extracting # 7 : cost  0
0.209 * * [simplify]: iteration  0 :  13  enodes  (cost  16 )
0.214 * * [simplify]: Extracting # 0 : cost  0
0.214 * * [simplify]: Extracting # 1 : cost  0
0.214 * * [simplify]: Extracting # 2 : cost  0
0.215 * * [simplify]: Extracting # 3 : cost  0
0.215 * * [simplify]: Extracting # 4 : cost  0
0.215 * * [simplify]: Extracting # 5 : cost  0
0.215 * * [simplify]: iteration  1 :  29  enodes  (cost  16 )
0.224 * * [simplify]: Extracting # 0 : cost  0
0.225 * * [simplify]: Extracting # 1 : cost  0
0.225 * * [simplify]: Extracting # 2 : cost  0
0.225 * * [simplify]: Extracting # 3 : cost  0
0.225 * * [simplify]: Extracting # 4 : cost  0
0.225 * * [simplify]: iteration  2 :  59  enodes  (cost  16 )
0.245 * * [simplify]: Extracting # 0 : cost  0
0.245 * * [simplify]: Extracting # 1 : cost  0
0.246 * * [simplify]: Extracting # 2 : cost  0
0.246 * * [simplify]: Extracting # 3 : cost  0
0.246 * * [simplify]: Extracting # 4 : cost  0
0.246 * * [simplify]: iteration  3 :  120  enodes  (cost  16 )
0.313 * * [simplify]: Extracting # 0 : cost  0
0.313 * * [simplify]: Extracting # 1 : cost  0
0.314 * * [simplify]: Extracting # 2 : cost  0
0.314 * * [simplify]: Extracting # 3 : cost  0
0.315 * * [simplify]: Extracting # 4 : cost  0
0.315 * * [simplify]: iteration  4 :  330  enodes  (cost  16 )
0.628 * * [simplify]: Extracting # 0 : cost  0
0.631 * * [simplify]: Extracting # 1 : cost  0
0.634 * * [simplify]: Extracting # 2 : cost  0
0.637 * * [simplify]: Extracting # 3 : cost  0
0.640 * * [simplify]: Extracting # 4 : cost  0
0.643 * * [simplify]: Extracting # 5 : cost  0
0.646 * * [simplify]: iteration  5 :  1545  enodes  (cost  16 )
1.661 * * [simplify]: Extracting # 0 : cost  0
1.717 * * [simplify]: Extracting # 1 : cost  0
1.730 * * [simplify]: Extracting # 2 : cost  0
1.741 * * [simplify]: Extracting # 3 : cost  0
1.753 * * [simplify]: Extracting # 4 : cost  0
1.766 * * [simplify]: iteration done:  5000  enodes  (cost  16 )
1.766 * [simplify]: Simplified to:
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
1.767 * * [progress]: iteration 1 / 4
1.767 * * * [progress]: picking best candidate
1.772 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
1.773 * * * [progress]: localizing error
1.809 * * * [progress]: generating rewritten candidates
1.809 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.839 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.849 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.933 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
1.981 * * * [progress]: generating series expansions
1.981 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1.982 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
1.982 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
1.982 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
1.982 * [taylor]: Taking taylor expansion of 2.0 in n
1.982 * [backup-simplify]: Simplify 2.0 into 2.0
1.982 * [taylor]: Taking taylor expansion of (* n PI) in n
1.982 * [taylor]: Taking taylor expansion of n in n
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 1 into 1
1.982 * [taylor]: Taking taylor expansion of PI in n
1.982 * [backup-simplify]: Simplify PI into PI
1.982 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
1.982 * [taylor]: Taking taylor expansion of 2.0 in n
1.982 * [backup-simplify]: Simplify 2.0 into 2.0
1.982 * [taylor]: Taking taylor expansion of (* n PI) in n
1.982 * [taylor]: Taking taylor expansion of n in n
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 1 into 1
1.982 * [taylor]: Taking taylor expansion of PI in n
1.982 * [backup-simplify]: Simplify PI into PI
1.983 * [backup-simplify]: Simplify (* 0 PI) into 0
1.983 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.983 * [backup-simplify]: Simplify 0 into 0
1.985 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.986 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
1.986 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
1.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.988 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.991 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.993 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1.993 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.001 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.004 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.008 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
2.009 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
2.009 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
2.009 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.009 * [taylor]: Taking taylor expansion of 2.0 in n
2.009 * [backup-simplify]: Simplify 2.0 into 2.0
2.009 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.009 * [taylor]: Taking taylor expansion of PI in n
2.009 * [backup-simplify]: Simplify PI into PI
2.009 * [taylor]: Taking taylor expansion of n in n
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.009 * [backup-simplify]: Simplify (/ PI 1) into PI
2.010 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.010 * [taylor]: Taking taylor expansion of 2.0 in n
2.010 * [backup-simplify]: Simplify 2.0 into 2.0
2.010 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.010 * [taylor]: Taking taylor expansion of PI in n
2.010 * [backup-simplify]: Simplify PI into PI
2.010 * [taylor]: Taking taylor expansion of n in n
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.010 * [backup-simplify]: Simplify (/ PI 1) into PI
2.011 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.011 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.013 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
2.013 * [backup-simplify]: Simplify 0 into 0
2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.014 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.017 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.017 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.019 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.019 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.021 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.024 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
2.025 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
2.025 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
2.025 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.025 * [taylor]: Taking taylor expansion of -2.0 in n
2.025 * [backup-simplify]: Simplify -2.0 into -2.0
2.025 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.025 * [taylor]: Taking taylor expansion of PI in n
2.025 * [backup-simplify]: Simplify PI into PI
2.025 * [taylor]: Taking taylor expansion of n in n
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (/ PI 1) into PI
2.026 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.026 * [taylor]: Taking taylor expansion of -2.0 in n
2.026 * [backup-simplify]: Simplify -2.0 into -2.0
2.026 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.026 * [taylor]: Taking taylor expansion of PI in n
2.026 * [backup-simplify]: Simplify PI into PI
2.026 * [taylor]: Taking taylor expansion of n in n
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (/ PI 1) into PI
2.027 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.027 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.029 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
2.029 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.031 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.033 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.033 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.035 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.035 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.037 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.037 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
2.041 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.041 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k)))
2.041 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0
2.041 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
2.041 * [taylor]: Taking taylor expansion of 1.0 in k
2.041 * [backup-simplify]: Simplify 1.0 into 1.0
2.041 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.041 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.041 * [taylor]: Taking taylor expansion of k in k
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify 1 into 1
2.041 * [backup-simplify]: Simplify (/ 1 1) into 1
2.042 * [backup-simplify]: Simplify (sqrt 0) into 0
2.043 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.043 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
2.043 * [taylor]: Taking taylor expansion of 1.0 in k
2.043 * [backup-simplify]: Simplify 1.0 into 1.0
2.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.044 * [taylor]: Taking taylor expansion of k in k
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 1 into 1
2.044 * [backup-simplify]: Simplify (/ 1 1) into 1
2.044 * [backup-simplify]: Simplify (sqrt 0) into 0
2.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.046 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
2.048 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.052 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.054 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
2.054 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.060 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
2.061 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.062 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0)))))
2.062 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k))
2.062 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0
2.062 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
2.062 * [taylor]: Taking taylor expansion of 1.0 in k
2.062 * [backup-simplify]: Simplify 1.0 into 1.0
2.062 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.062 * [taylor]: Taking taylor expansion of k in k
2.062 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 1 into 1
2.063 * [backup-simplify]: Simplify (sqrt 0) into 0
2.064 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.064 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
2.064 * [taylor]: Taking taylor expansion of 1.0 in k
2.064 * [backup-simplify]: Simplify 1.0 into 1.0
2.064 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.064 * [taylor]: Taking taylor expansion of k in k
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 1 into 1
2.065 * [backup-simplify]: Simplify (sqrt 0) into 0
2.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.066 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.066 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
2.068 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.071 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.072 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
2.073 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.078 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
2.079 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.080 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
2.081 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k)))
2.081 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0
2.081 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
2.081 * [taylor]: Taking taylor expansion of 1.0 in k
2.081 * [backup-simplify]: Simplify 1.0 into 1.0
2.081 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.081 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.081 * [taylor]: Taking taylor expansion of -1 in k
2.081 * [backup-simplify]: Simplify -1 into -1
2.081 * [taylor]: Taking taylor expansion of k in k
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [backup-simplify]: Simplify (/ -1 1) into -1
2.082 * [backup-simplify]: Simplify (sqrt 0) into 0
2.083 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.083 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
2.083 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
2.084 * [taylor]: Taking taylor expansion of 1.0 in k
2.084 * [backup-simplify]: Simplify 1.0 into 1.0
2.084 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.084 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.084 * [taylor]: Taking taylor expansion of -1 in k
2.084 * [backup-simplify]: Simplify -1 into -1
2.084 * [taylor]: Taking taylor expansion of k in k
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify 1 into 1
2.084 * [backup-simplify]: Simplify (/ -1 1) into -1
2.084 * [backup-simplify]: Simplify (sqrt 0) into 0
2.086 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.086 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
2.086 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.090 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.092 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
2.092 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.101 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
2.101 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.102 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
2.102 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.103 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))
2.103 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0
2.103 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n
2.103 * [taylor]: Taking taylor expansion of 1.0 in n
2.103 * [backup-simplify]: Simplify 1.0 into 1.0
2.103 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n
2.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.103 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.103 * [taylor]: Taking taylor expansion of k in n
2.103 * [backup-simplify]: Simplify k into k
2.103 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.103 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.104 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
2.104 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
2.104 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
2.104 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
2.104 * [taylor]: Taking taylor expansion of 0.5 in n
2.104 * [backup-simplify]: Simplify 0.5 into 0.5
2.104 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
2.104 * [taylor]: Taking taylor expansion of 1.0 in n
2.104 * [backup-simplify]: Simplify 1.0 into 1.0
2.104 * [taylor]: Taking taylor expansion of k in n
2.104 * [backup-simplify]: Simplify k into k
2.104 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.104 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.104 * [taylor]: Taking taylor expansion of 2.0 in n
2.104 * [backup-simplify]: Simplify 2.0 into 2.0
2.104 * [taylor]: Taking taylor expansion of (* n PI) in n
2.104 * [taylor]: Taking taylor expansion of n in n
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [taylor]: Taking taylor expansion of PI in n
2.104 * [backup-simplify]: Simplify PI into PI
2.105 * [backup-simplify]: Simplify (* 0 PI) into 0
2.105 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.107 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.108 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.109 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.109 * [backup-simplify]: Simplify (- k) into (- k)
2.109 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
2.109 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
2.110 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.111 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
2.112 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
2.112 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
2.113 * [taylor]: Taking taylor expansion of 1.0 in k
2.113 * [backup-simplify]: Simplify 1.0 into 1.0
2.113 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
2.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.113 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.113 * [taylor]: Taking taylor expansion of k in k
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.113 * [backup-simplify]: Simplify (/ 1 1) into 1
2.113 * [backup-simplify]: Simplify (sqrt 0) into 0
2.115 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.115 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
2.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
2.115 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
2.115 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
2.115 * [taylor]: Taking taylor expansion of 0.5 in k
2.115 * [backup-simplify]: Simplify 0.5 into 0.5
2.115 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
2.115 * [taylor]: Taking taylor expansion of 1.0 in k
2.115 * [backup-simplify]: Simplify 1.0 into 1.0
2.115 * [taylor]: Taking taylor expansion of k in k
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify 1 into 1
2.115 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
2.115 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
2.115 * [taylor]: Taking taylor expansion of 2.0 in k
2.115 * [backup-simplify]: Simplify 2.0 into 2.0
2.115 * [taylor]: Taking taylor expansion of (* n PI) in k
2.115 * [taylor]: Taking taylor expansion of n in k
2.115 * [backup-simplify]: Simplify n into n
2.115 * [taylor]: Taking taylor expansion of PI in k
2.115 * [backup-simplify]: Simplify PI into PI
2.115 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.115 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
2.115 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
2.116 * [backup-simplify]: Simplify (- 0) into 0
2.116 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.117 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
2.117 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
2.117 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
2.117 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
2.117 * [taylor]: Taking taylor expansion of 1.0 in k
2.117 * [backup-simplify]: Simplify 1.0 into 1.0
2.117 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
2.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.117 * [taylor]: Taking taylor expansion of k in k
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify 1 into 1
2.117 * [backup-simplify]: Simplify (/ 1 1) into 1
2.118 * [backup-simplify]: Simplify (sqrt 0) into 0
2.119 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.119 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
2.119 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
2.119 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
2.119 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
2.119 * [taylor]: Taking taylor expansion of 0.5 in k
2.119 * [backup-simplify]: Simplify 0.5 into 0.5
2.119 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
2.119 * [taylor]: Taking taylor expansion of 1.0 in k
2.119 * [backup-simplify]: Simplify 1.0 into 1.0
2.119 * [taylor]: Taking taylor expansion of k in k
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 1 into 1
2.119 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
2.119 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
2.119 * [taylor]: Taking taylor expansion of 2.0 in k
2.119 * [backup-simplify]: Simplify 2.0 into 2.0
2.119 * [taylor]: Taking taylor expansion of (* n PI) in k
2.119 * [taylor]: Taking taylor expansion of n in k
2.119 * [backup-simplify]: Simplify n into n
2.120 * [taylor]: Taking taylor expansion of PI in k
2.120 * [backup-simplify]: Simplify PI into PI
2.120 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.120 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
2.120 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
2.120 * [backup-simplify]: Simplify (- 0) into 0
2.120 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.121 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
2.121 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
2.121 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
2.121 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0
2.122 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.122 * [taylor]: Taking taylor expansion of 0 in n
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
2.123 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0
2.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0
2.124 * [backup-simplify]: Simplify (- 1) into -1
2.124 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.126 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
2.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI)))))
2.127 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.129 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
2.130 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.130 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n
2.130 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n
2.131 * [taylor]: Taking taylor expansion of +nan.0 in n
2.131 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.131 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
2.131 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
2.131 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
2.131 * [taylor]: Taking taylor expansion of 0.5 in n
2.131 * [backup-simplify]: Simplify 0.5 into 0.5
2.131 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
2.131 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
2.131 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.131 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.131 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.131 * [taylor]: Taking taylor expansion of 1.0 in n
2.131 * [backup-simplify]: Simplify 1.0 into 1.0
2.131 * [taylor]: Taking taylor expansion of (log PI) in n
2.131 * [taylor]: Taking taylor expansion of PI in n
2.131 * [backup-simplify]: Simplify PI into PI
2.131 * [backup-simplify]: Simplify (log PI) into (log PI)
2.132 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.138 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.138 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
2.138 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.138 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.138 * [taylor]: Taking taylor expansion of 1.0 in n
2.138 * [backup-simplify]: Simplify 1.0 into 1.0
2.138 * [taylor]: Taking taylor expansion of (log n) in n
2.138 * [taylor]: Taking taylor expansion of n in n
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify 1 into 1
2.139 * [backup-simplify]: Simplify (log 1) into 0
2.139 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.139 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.139 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.139 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.139 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.140 * [taylor]: Taking taylor expansion of 1.0 in n
2.140 * [backup-simplify]: Simplify 1.0 into 1.0
2.140 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.140 * [taylor]: Taking taylor expansion of 2.0 in n
2.140 * [backup-simplify]: Simplify 2.0 into 2.0
2.140 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.141 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.142 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.143 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
2.144 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
2.145 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
2.146 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
2.147 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
2.149 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
2.150 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
2.151 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.151 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
2.153 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
2.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0
2.155 * [backup-simplify]: Simplify (- 0) into 0
2.155 * [backup-simplify]: Simplify (+ 0 0) into 0
2.156 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
2.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0
2.159 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.164 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))
2.170 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))
2.170 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n
2.170 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n
2.170 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n
2.170 * [taylor]: Taking taylor expansion of +nan.0 in n
2.170 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.170 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
2.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
2.171 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
2.171 * [taylor]: Taking taylor expansion of 0.5 in n
2.171 * [backup-simplify]: Simplify 0.5 into 0.5
2.171 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
2.171 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
2.171 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.171 * [taylor]: Taking taylor expansion of 1.0 in n
2.171 * [backup-simplify]: Simplify 1.0 into 1.0
2.171 * [taylor]: Taking taylor expansion of (log PI) in n
2.171 * [taylor]: Taking taylor expansion of PI in n
2.171 * [backup-simplify]: Simplify PI into PI
2.172 * [backup-simplify]: Simplify (log PI) into (log PI)
2.173 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.174 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.174 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
2.175 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.175 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.175 * [taylor]: Taking taylor expansion of 1.0 in n
2.175 * [backup-simplify]: Simplify 1.0 into 1.0
2.175 * [taylor]: Taking taylor expansion of (log n) in n
2.175 * [taylor]: Taking taylor expansion of n in n
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [backup-simplify]: Simplify (log 1) into 0
2.176 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.176 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.176 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.176 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.176 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.176 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.176 * [taylor]: Taking taylor expansion of 1.0 in n
2.176 * [backup-simplify]: Simplify 1.0 into 1.0
2.176 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.176 * [taylor]: Taking taylor expansion of 2.0 in n
2.176 * [backup-simplify]: Simplify 2.0 into 2.0
2.176 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.177 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.179 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.179 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
2.180 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
2.182 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
2.183 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
2.185 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
2.185 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n
2.185 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n
2.185 * [taylor]: Taking taylor expansion of +nan.0 in n
2.185 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.185 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n
2.185 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
2.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
2.185 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
2.185 * [taylor]: Taking taylor expansion of 0.5 in n
2.185 * [backup-simplify]: Simplify 0.5 into 0.5
2.185 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
2.185 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
2.185 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.185 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.185 * [taylor]: Taking taylor expansion of 1.0 in n
2.185 * [backup-simplify]: Simplify 1.0 into 1.0
2.185 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.185 * [taylor]: Taking taylor expansion of 2.0 in n
2.185 * [backup-simplify]: Simplify 2.0 into 2.0
2.186 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.187 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.188 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.188 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
2.188 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.188 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.188 * [taylor]: Taking taylor expansion of 1.0 in n
2.188 * [backup-simplify]: Simplify 1.0 into 1.0
2.188 * [taylor]: Taking taylor expansion of (log PI) in n
2.188 * [taylor]: Taking taylor expansion of PI in n
2.188 * [backup-simplify]: Simplify PI into PI
2.189 * [backup-simplify]: Simplify (log PI) into (log PI)
2.189 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.191 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.191 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.191 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.191 * [taylor]: Taking taylor expansion of 1.0 in n
2.191 * [backup-simplify]: Simplify 1.0 into 1.0
2.191 * [taylor]: Taking taylor expansion of (log n) in n
2.191 * [taylor]: Taking taylor expansion of n in n
2.191 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify 1 into 1
2.191 * [backup-simplify]: Simplify (log 1) into 0
2.192 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.192 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.192 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.193 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
2.194 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
2.195 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
2.196 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
2.197 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
2.197 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.197 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.197 * [taylor]: Taking taylor expansion of 2.0 in n
2.197 * [backup-simplify]: Simplify 2.0 into 2.0
2.197 * [taylor]: Taking taylor expansion of (* n PI) in n
2.197 * [taylor]: Taking taylor expansion of n in n
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 1 into 1
2.197 * [taylor]: Taking taylor expansion of PI in n
2.197 * [backup-simplify]: Simplify PI into PI
2.198 * [backup-simplify]: Simplify (* 0 PI) into 0
2.198 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.201 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.202 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.204 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
2.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.208 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
2.211 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.214 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))
2.222 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
2.228 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
2.235 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
2.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
2.237 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
2.239 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
2.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.241 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.242 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
2.243 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
2.244 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
2.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
2.246 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
2.248 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
2.250 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
2.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0
2.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0
2.258 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.260 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0
2.261 * [backup-simplify]: Simplify (- 0) into 0
2.261 * [backup-simplify]: Simplify 0 into 0
2.261 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.263 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
2.266 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0
2.266 * [backup-simplify]: Simplify (- 0) into 0
2.266 * [backup-simplify]: Simplify (+ 0 0) into 0
2.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0
2.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0
2.271 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.281 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))
2.295 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))
2.296 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n
2.296 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n
2.296 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n
2.296 * [taylor]: Taking taylor expansion of +nan.0 in n
2.296 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.296 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n
2.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
2.296 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
2.296 * [taylor]: Taking taylor expansion of 0.5 in n
2.296 * [backup-simplify]: Simplify 0.5 into 0.5
2.296 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
2.296 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
2.296 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.296 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.296 * [taylor]: Taking taylor expansion of 1.0 in n
2.296 * [backup-simplify]: Simplify 1.0 into 1.0
2.296 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.296 * [taylor]: Taking taylor expansion of 2.0 in n
2.296 * [backup-simplify]: Simplify 2.0 into 2.0
2.297 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.297 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.299 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.299 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
2.299 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.299 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.299 * [taylor]: Taking taylor expansion of 1.0 in n
2.299 * [backup-simplify]: Simplify 1.0 into 1.0
2.299 * [taylor]: Taking taylor expansion of (log n) in n
2.299 * [taylor]: Taking taylor expansion of n in n
2.299 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify 1 into 1
2.299 * [backup-simplify]: Simplify (log 1) into 0
2.300 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.300 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.300 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.300 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.300 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.300 * [taylor]: Taking taylor expansion of 1.0 in n
2.300 * [backup-simplify]: Simplify 1.0 into 1.0
2.300 * [taylor]: Taking taylor expansion of (log PI) in n
2.300 * [taylor]: Taking taylor expansion of PI in n
2.300 * [backup-simplify]: Simplify PI into PI
2.301 * [backup-simplify]: Simplify (log PI) into (log PI)
2.301 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.303 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.304 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
2.305 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
2.306 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
2.307 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
2.308 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
2.308 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n
2.309 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n
2.309 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n
2.309 * [taylor]: Taking taylor expansion of +nan.0 in n
2.309 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.309 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n
2.309 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
2.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
2.309 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
2.309 * [taylor]: Taking taylor expansion of 0.5 in n
2.309 * [backup-simplify]: Simplify 0.5 into 0.5
2.309 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
2.309 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
2.309 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.309 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.309 * [taylor]: Taking taylor expansion of 1.0 in n
2.309 * [backup-simplify]: Simplify 1.0 into 1.0
2.309 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.309 * [taylor]: Taking taylor expansion of 2.0 in n
2.309 * [backup-simplify]: Simplify 2.0 into 2.0
2.309 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.310 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.312 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.312 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
2.312 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.312 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.312 * [taylor]: Taking taylor expansion of 1.0 in n
2.312 * [backup-simplify]: Simplify 1.0 into 1.0
2.312 * [taylor]: Taking taylor expansion of (log PI) in n
2.312 * [taylor]: Taking taylor expansion of PI in n
2.312 * [backup-simplify]: Simplify PI into PI
2.312 * [backup-simplify]: Simplify (log PI) into (log PI)
2.313 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.315 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.315 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.315 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.315 * [taylor]: Taking taylor expansion of 1.0 in n
2.315 * [backup-simplify]: Simplify 1.0 into 1.0
2.315 * [taylor]: Taking taylor expansion of (log n) in n
2.315 * [taylor]: Taking taylor expansion of n in n
2.315 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify 1 into 1
2.315 * [backup-simplify]: Simplify (log 1) into 0
2.316 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.316 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.316 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.316 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
2.317 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
2.319 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
2.320 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
2.321 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
2.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.321 * [taylor]: Taking taylor expansion of 2.0 in n
2.321 * [backup-simplify]: Simplify 2.0 into 2.0
2.321 * [taylor]: Taking taylor expansion of (* n PI) in n
2.321 * [taylor]: Taking taylor expansion of n in n
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [taylor]: Taking taylor expansion of PI in n
2.321 * [backup-simplify]: Simplify PI into PI
2.322 * [backup-simplify]: Simplify (* 0 PI) into 0
2.322 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.325 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.326 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.326 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n
2.326 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n
2.326 * [taylor]: Taking taylor expansion of +nan.0 in n
2.326 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.326 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n
2.326 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
2.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
2.326 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
2.326 * [taylor]: Taking taylor expansion of 0.5 in n
2.326 * [backup-simplify]: Simplify 0.5 into 0.5
2.326 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
2.326 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
2.326 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
2.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
2.326 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
2.326 * [taylor]: Taking taylor expansion of 1.0 in n
2.326 * [backup-simplify]: Simplify 1.0 into 1.0
2.326 * [taylor]: Taking taylor expansion of (log 2.0) in n
2.326 * [taylor]: Taking taylor expansion of 2.0 in n
2.326 * [backup-simplify]: Simplify 2.0 into 2.0
2.327 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
2.328 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
2.329 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
2.329 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
2.329 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
2.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
2.329 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
2.329 * [taylor]: Taking taylor expansion of 1.0 in n
2.329 * [backup-simplify]: Simplify 1.0 into 1.0
2.329 * [taylor]: Taking taylor expansion of (log PI) in n
2.329 * [taylor]: Taking taylor expansion of PI in n
2.329 * [backup-simplify]: Simplify PI into PI
2.330 * [backup-simplify]: Simplify (log PI) into (log PI)
2.330 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
2.332 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
2.332 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
2.332 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
2.332 * [taylor]: Taking taylor expansion of 1.0 in n
2.332 * [backup-simplify]: Simplify 1.0 into 1.0
2.332 * [taylor]: Taking taylor expansion of (log n) in n
2.332 * [taylor]: Taking taylor expansion of n in n
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify (log 1) into 0
2.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
2.333 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
2.333 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
2.334 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
2.335 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
2.336 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
2.337 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
2.339 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
2.339 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
2.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.339 * [taylor]: Taking taylor expansion of 2.0 in n
2.339 * [backup-simplify]: Simplify 2.0 into 2.0
2.339 * [taylor]: Taking taylor expansion of (* n PI) in n
2.339 * [taylor]: Taking taylor expansion of n in n
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 1 into 1
2.339 * [taylor]: Taking taylor expansion of PI in n
2.339 * [backup-simplify]: Simplify PI into PI
2.340 * [backup-simplify]: Simplify (* 0 PI) into 0
2.340 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.341 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.343 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.344 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.345 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.346 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
2.348 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.350 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
2.353 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.354 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.355 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.358 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
2.360 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
2.363 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
2.365 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
2.376 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))
2.389 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))
2.405 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
2.420 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
2.440 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
2.464 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))))))))
2.465 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))
2.465 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0
2.465 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
2.465 * [taylor]: Taking taylor expansion of 1.0 in n
2.465 * [backup-simplify]: Simplify 1.0 into 1.0
2.465 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
2.465 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.465 * [taylor]: Taking taylor expansion of k in n
2.465 * [backup-simplify]: Simplify k into k
2.465 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.466 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
2.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
2.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
2.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
2.466 * [taylor]: Taking taylor expansion of 0.5 in n
2.466 * [backup-simplify]: Simplify 0.5 into 0.5
2.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.466 * [taylor]: Taking taylor expansion of 1.0 in n
2.466 * [backup-simplify]: Simplify 1.0 into 1.0
2.466 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.466 * [taylor]: Taking taylor expansion of k in n
2.466 * [backup-simplify]: Simplify k into k
2.466 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.466 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.466 * [taylor]: Taking taylor expansion of 2.0 in n
2.466 * [backup-simplify]: Simplify 2.0 into 2.0
2.466 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.466 * [taylor]: Taking taylor expansion of PI in n
2.466 * [backup-simplify]: Simplify PI into PI
2.466 * [taylor]: Taking taylor expansion of n in n
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 1 into 1
2.467 * [backup-simplify]: Simplify (/ PI 1) into PI
2.467 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.468 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.468 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.468 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.468 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
2.470 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.471 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.472 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.472 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
2.472 * [taylor]: Taking taylor expansion of 1.0 in k
2.472 * [backup-simplify]: Simplify 1.0 into 1.0
2.472 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
2.472 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.472 * [taylor]: Taking taylor expansion of k in k
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (sqrt 0) into 0
2.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
2.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
2.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
2.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
2.474 * [taylor]: Taking taylor expansion of 0.5 in k
2.474 * [backup-simplify]: Simplify 0.5 into 0.5
2.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
2.474 * [taylor]: Taking taylor expansion of 1.0 in k
2.474 * [backup-simplify]: Simplify 1.0 into 1.0
2.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.474 * [taylor]: Taking taylor expansion of k in k
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify (/ 1 1) into 1
2.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
2.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
2.475 * [taylor]: Taking taylor expansion of 2.0 in k
2.475 * [backup-simplify]: Simplify 2.0 into 2.0
2.475 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.475 * [taylor]: Taking taylor expansion of PI in k
2.475 * [backup-simplify]: Simplify PI into PI
2.475 * [taylor]: Taking taylor expansion of n in k
2.475 * [backup-simplify]: Simplify n into n
2.475 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.475 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
2.475 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
2.475 * [backup-simplify]: Simplify (- 1) into -1
2.476 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.476 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
2.476 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
2.477 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
2.477 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
2.477 * [taylor]: Taking taylor expansion of 1.0 in k
2.477 * [backup-simplify]: Simplify 1.0 into 1.0
2.477 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
2.477 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.477 * [taylor]: Taking taylor expansion of k in k
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [backup-simplify]: Simplify (sqrt 0) into 0
2.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.478 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
2.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
2.478 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
2.478 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
2.478 * [taylor]: Taking taylor expansion of 0.5 in k
2.478 * [backup-simplify]: Simplify 0.5 into 0.5
2.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
2.478 * [taylor]: Taking taylor expansion of 1.0 in k
2.479 * [backup-simplify]: Simplify 1.0 into 1.0
2.479 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.479 * [taylor]: Taking taylor expansion of k in k
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (/ 1 1) into 1
2.479 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
2.479 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
2.479 * [taylor]: Taking taylor expansion of 2.0 in k
2.479 * [backup-simplify]: Simplify 2.0 into 2.0
2.479 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.479 * [taylor]: Taking taylor expansion of PI in k
2.479 * [backup-simplify]: Simplify PI into PI
2.479 * [taylor]: Taking taylor expansion of n in k
2.479 * [backup-simplify]: Simplify n into n
2.479 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.479 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
2.479 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
2.480 * [backup-simplify]: Simplify (- 1) into -1
2.480 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.481 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
2.481 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
2.481 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
2.481 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0
2.482 * [backup-simplify]: Simplify (* 1.0 0) into 0
2.482 * [taylor]: Taking taylor expansion of 0 in n
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.483 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.483 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
2.483 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
2.483 * [taylor]: Taking taylor expansion of +nan.0 in n
2.483 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
2.483 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
2.483 * [taylor]: Taking taylor expansion of 0.5 in n
2.483 * [backup-simplify]: Simplify 0.5 into 0.5
2.483 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
2.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.483 * [taylor]: Taking taylor expansion of 2.0 in n
2.483 * [backup-simplify]: Simplify 2.0 into 2.0
2.483 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.484 * [taylor]: Taking taylor expansion of PI in n
2.484 * [backup-simplify]: Simplify PI into PI
2.484 * [taylor]: Taking taylor expansion of n in n
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 1 into 1
2.484 * [backup-simplify]: Simplify (/ PI 1) into PI
2.484 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.485 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.486 * [taylor]: Taking taylor expansion of 1.0 in n
2.486 * [backup-simplify]: Simplify 1.0 into 1.0
2.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.486 * [taylor]: Taking taylor expansion of k in n
2.486 * [backup-simplify]: Simplify k into k
2.486 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.487 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.487 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.487 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.488 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
2.489 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.491 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.492 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
2.493 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.494 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.494 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.499 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.499 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
2.499 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
2.499 * [taylor]: Taking taylor expansion of +nan.0 in n
2.499 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
2.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
2.499 * [taylor]: Taking taylor expansion of 0.5 in n
2.499 * [backup-simplify]: Simplify 0.5 into 0.5
2.499 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
2.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.499 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.499 * [taylor]: Taking taylor expansion of 2.0 in n
2.499 * [backup-simplify]: Simplify 2.0 into 2.0
2.500 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.500 * [taylor]: Taking taylor expansion of PI in n
2.500 * [backup-simplify]: Simplify PI into PI
2.500 * [taylor]: Taking taylor expansion of n in n
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 1 into 1
2.500 * [backup-simplify]: Simplify (/ PI 1) into PI
2.501 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.502 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.502 * [taylor]: Taking taylor expansion of 1.0 in n
2.502 * [backup-simplify]: Simplify 1.0 into 1.0
2.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.502 * [taylor]: Taking taylor expansion of k in n
2.502 * [backup-simplify]: Simplify k into k
2.502 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.503 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.503 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.505 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
2.506 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.507 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.508 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
2.510 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.511 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.513 * [backup-simplify]: Simplify (- 0) into 0
2.513 * [backup-simplify]: Simplify (+ 0 0) into 0
2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.514 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
2.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
2.517 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0
2.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0
2.521 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.522 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0
2.523 * [backup-simplify]: Simplify (- 0) into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.529 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
2.529 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
2.529 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
2.529 * [taylor]: Taking taylor expansion of +nan.0 in n
2.529 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
2.529 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
2.529 * [taylor]: Taking taylor expansion of 0.5 in n
2.529 * [backup-simplify]: Simplify 0.5 into 0.5
2.529 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
2.529 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.529 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.529 * [taylor]: Taking taylor expansion of 2.0 in n
2.529 * [backup-simplify]: Simplify 2.0 into 2.0
2.529 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.529 * [taylor]: Taking taylor expansion of PI in n
2.529 * [backup-simplify]: Simplify PI into PI
2.529 * [taylor]: Taking taylor expansion of n in n
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 1 into 1
2.530 * [backup-simplify]: Simplify (/ PI 1) into PI
2.530 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.531 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.531 * [taylor]: Taking taylor expansion of 1.0 in n
2.531 * [backup-simplify]: Simplify 1.0 into 1.0
2.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.532 * [taylor]: Taking taylor expansion of k in n
2.532 * [backup-simplify]: Simplify k into k
2.532 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.533 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.533 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.534 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
2.535 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.536 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.537 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
2.539 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.540 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
2.544 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
2.545 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))))
2.545 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0
2.545 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
2.545 * [taylor]: Taking taylor expansion of 1.0 in n
2.545 * [backup-simplify]: Simplify 1.0 into 1.0
2.545 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
2.545 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
2.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
2.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
2.545 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
2.545 * [taylor]: Taking taylor expansion of 0.5 in n
2.545 * [backup-simplify]: Simplify 0.5 into 0.5
2.545 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.545 * [taylor]: Taking taylor expansion of k in n
2.545 * [backup-simplify]: Simplify k into k
2.545 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.545 * [taylor]: Taking taylor expansion of 1.0 in n
2.545 * [backup-simplify]: Simplify 1.0 into 1.0
2.545 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.545 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.545 * [taylor]: Taking taylor expansion of -2.0 in n
2.546 * [backup-simplify]: Simplify -2.0 into -2.0
2.546 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.546 * [taylor]: Taking taylor expansion of PI in n
2.546 * [backup-simplify]: Simplify PI into PI
2.546 * [taylor]: Taking taylor expansion of n in n
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 1 into 1
2.546 * [backup-simplify]: Simplify (/ PI 1) into PI
2.547 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.547 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.548 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.548 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
2.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.550 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.551 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.551 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.551 * [taylor]: Taking taylor expansion of -1 in n
2.551 * [backup-simplify]: Simplify -1 into -1
2.551 * [taylor]: Taking taylor expansion of k in n
2.551 * [backup-simplify]: Simplify k into k
2.551 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.551 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.552 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.553 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))
2.553 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
2.553 * [taylor]: Taking taylor expansion of 1.0 in k
2.553 * [backup-simplify]: Simplify 1.0 into 1.0
2.553 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
2.553 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
2.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
2.553 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
2.553 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
2.553 * [taylor]: Taking taylor expansion of 0.5 in k
2.553 * [backup-simplify]: Simplify 0.5 into 0.5
2.553 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
2.553 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.553 * [taylor]: Taking taylor expansion of k in k
2.553 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify 1 into 1
2.554 * [backup-simplify]: Simplify (/ 1 1) into 1
2.554 * [taylor]: Taking taylor expansion of 1.0 in k
2.554 * [backup-simplify]: Simplify 1.0 into 1.0
2.554 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
2.554 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
2.554 * [taylor]: Taking taylor expansion of -2.0 in k
2.554 * [backup-simplify]: Simplify -2.0 into -2.0
2.554 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.554 * [taylor]: Taking taylor expansion of PI in k
2.554 * [backup-simplify]: Simplify PI into PI
2.554 * [taylor]: Taking taylor expansion of n in k
2.554 * [backup-simplify]: Simplify n into n
2.554 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.554 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
2.554 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
2.555 * [backup-simplify]: Simplify (+ 1 0) into 1
2.555 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.555 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
2.555 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
2.555 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.555 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.555 * [taylor]: Taking taylor expansion of -1 in k
2.555 * [backup-simplify]: Simplify -1 into -1
2.555 * [taylor]: Taking taylor expansion of k in k
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (/ -1 1) into -1
2.556 * [backup-simplify]: Simplify (sqrt 0) into 0
2.557 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.558 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
2.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
2.558 * [taylor]: Taking taylor expansion of 1.0 in k
2.558 * [backup-simplify]: Simplify 1.0 into 1.0
2.558 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
2.558 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
2.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
2.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
2.558 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
2.558 * [taylor]: Taking taylor expansion of 0.5 in k
2.558 * [backup-simplify]: Simplify 0.5 into 0.5
2.558 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
2.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.558 * [taylor]: Taking taylor expansion of k in k
2.558 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify 1 into 1
2.558 * [backup-simplify]: Simplify (/ 1 1) into 1
2.558 * [taylor]: Taking taylor expansion of 1.0 in k
2.558 * [backup-simplify]: Simplify 1.0 into 1.0
2.559 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
2.559 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
2.559 * [taylor]: Taking taylor expansion of -2.0 in k
2.559 * [backup-simplify]: Simplify -2.0 into -2.0
2.559 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.559 * [taylor]: Taking taylor expansion of PI in k
2.559 * [backup-simplify]: Simplify PI into PI
2.559 * [taylor]: Taking taylor expansion of n in k
2.559 * [backup-simplify]: Simplify n into n
2.559 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.559 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
2.559 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
2.559 * [backup-simplify]: Simplify (+ 1 0) into 1
2.560 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.560 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
2.560 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
2.560 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.560 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.560 * [taylor]: Taking taylor expansion of -1 in k
2.560 * [backup-simplify]: Simplify -1 into -1
2.560 * [taylor]: Taking taylor expansion of k in k
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.561 * [backup-simplify]: Simplify (/ -1 1) into -1
2.561 * [backup-simplify]: Simplify (sqrt 0) into 0
2.562 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.562 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
2.563 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
2.563 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
2.563 * [taylor]: Taking taylor expansion of +nan.0 in n
2.563 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
2.563 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
2.563 * [taylor]: Taking taylor expansion of 0.5 in n
2.563 * [backup-simplify]: Simplify 0.5 into 0.5
2.563 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
2.563 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.563 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.563 * [taylor]: Taking taylor expansion of k in n
2.563 * [backup-simplify]: Simplify k into k
2.563 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.563 * [taylor]: Taking taylor expansion of 1.0 in n
2.563 * [backup-simplify]: Simplify 1.0 into 1.0
2.563 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.563 * [taylor]: Taking taylor expansion of -2.0 in n
2.563 * [backup-simplify]: Simplify -2.0 into -2.0
2.563 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.563 * [taylor]: Taking taylor expansion of PI in n
2.563 * [backup-simplify]: Simplify PI into PI
2.563 * [taylor]: Taking taylor expansion of n in n
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.564 * [backup-simplify]: Simplify (/ PI 1) into PI
2.569 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.571 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.571 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.573 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
2.575 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.576 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.577 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
2.578 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
2.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.582 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.583 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
2.583 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
2.583 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
2.583 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
2.583 * [taylor]: Taking taylor expansion of +nan.0 in n
2.583 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
2.583 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
2.583 * [taylor]: Taking taylor expansion of 0.5 in n
2.583 * [backup-simplify]: Simplify 0.5 into 0.5
2.583 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
2.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.584 * [taylor]: Taking taylor expansion of k in n
2.584 * [backup-simplify]: Simplify k into k
2.584 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.584 * [taylor]: Taking taylor expansion of 1.0 in n
2.584 * [backup-simplify]: Simplify 1.0 into 1.0
2.584 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.584 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.584 * [taylor]: Taking taylor expansion of -2.0 in n
2.584 * [backup-simplify]: Simplify -2.0 into -2.0
2.584 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.584 * [taylor]: Taking taylor expansion of PI in n
2.584 * [backup-simplify]: Simplify PI into PI
2.584 * [taylor]: Taking taylor expansion of n in n
2.584 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify 1 into 1
2.584 * [backup-simplify]: Simplify (/ PI 1) into PI
2.585 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.586 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.586 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.588 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
2.590 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.591 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.593 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
2.594 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
2.595 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
2.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.597 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
2.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
2.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.599 * [backup-simplify]: Simplify (+ 0 0) into 0
2.600 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.602 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
2.603 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0
2.605 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.607 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.612 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
2.613 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
2.613 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
2.613 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
2.613 * [taylor]: Taking taylor expansion of +nan.0 in n
2.614 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.614 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
2.614 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
2.614 * [taylor]: Taking taylor expansion of 0.5 in n
2.614 * [backup-simplify]: Simplify 0.5 into 0.5
2.614 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
2.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.614 * [taylor]: Taking taylor expansion of k in n
2.614 * [backup-simplify]: Simplify k into k
2.614 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.614 * [taylor]: Taking taylor expansion of 1.0 in n
2.614 * [backup-simplify]: Simplify 1.0 into 1.0
2.614 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.614 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.614 * [taylor]: Taking taylor expansion of -2.0 in n
2.614 * [backup-simplify]: Simplify -2.0 into -2.0
2.614 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.614 * [taylor]: Taking taylor expansion of PI in n
2.614 * [backup-simplify]: Simplify PI into PI
2.614 * [taylor]: Taking taylor expansion of n in n
2.614 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify 1 into 1
2.615 * [backup-simplify]: Simplify (/ PI 1) into PI
2.615 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.616 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.616 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.619 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
2.620 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.621 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.622 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
2.623 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
2.624 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
2.629 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
2.629 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.630 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))
2.630 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0
2.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
2.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
2.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
2.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
2.630 * [taylor]: Taking taylor expansion of 0.5 in k
2.630 * [backup-simplify]: Simplify 0.5 into 0.5
2.630 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
2.630 * [taylor]: Taking taylor expansion of 1.0 in k
2.630 * [backup-simplify]: Simplify 1.0 into 1.0
2.630 * [taylor]: Taking taylor expansion of k in k
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [backup-simplify]: Simplify 1 into 1
2.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
2.630 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
2.630 * [taylor]: Taking taylor expansion of 2.0 in k
2.630 * [backup-simplify]: Simplify 2.0 into 2.0
2.630 * [taylor]: Taking taylor expansion of (* n PI) in k
2.630 * [taylor]: Taking taylor expansion of n in k
2.630 * [backup-simplify]: Simplify n into n
2.630 * [taylor]: Taking taylor expansion of PI in k
2.630 * [backup-simplify]: Simplify PI into PI
2.630 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.630 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
2.631 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
2.631 * [backup-simplify]: Simplify (- 0) into 0
2.631 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.632 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
2.632 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
2.632 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
2.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
2.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
2.632 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
2.632 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
2.632 * [taylor]: Taking taylor expansion of 0.5 in n
2.632 * [backup-simplify]: Simplify 0.5 into 0.5
2.632 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
2.632 * [taylor]: Taking taylor expansion of 1.0 in n
2.632 * [backup-simplify]: Simplify 1.0 into 1.0
2.632 * [taylor]: Taking taylor expansion of k in n
2.632 * [backup-simplify]: Simplify k into k
2.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.632 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.632 * [taylor]: Taking taylor expansion of 2.0 in n
2.632 * [backup-simplify]: Simplify 2.0 into 2.0
2.632 * [taylor]: Taking taylor expansion of (* n PI) in n
2.632 * [taylor]: Taking taylor expansion of n in n
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 1 into 1
2.632 * [taylor]: Taking taylor expansion of PI in n
2.632 * [backup-simplify]: Simplify PI into PI
2.633 * [backup-simplify]: Simplify (* 0 PI) into 0
2.633 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.636 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.637 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.637 * [backup-simplify]: Simplify (- k) into (- k)
2.637 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
2.637 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
2.638 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.639 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
2.640 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
2.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
2.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
2.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
2.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
2.641 * [taylor]: Taking taylor expansion of 0.5 in n
2.641 * [backup-simplify]: Simplify 0.5 into 0.5
2.641 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
2.641 * [taylor]: Taking taylor expansion of 1.0 in n
2.641 * [backup-simplify]: Simplify 1.0 into 1.0
2.641 * [taylor]: Taking taylor expansion of k in n
2.641 * [backup-simplify]: Simplify k into k
2.641 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
2.641 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
2.641 * [taylor]: Taking taylor expansion of 2.0 in n
2.641 * [backup-simplify]: Simplify 2.0 into 2.0
2.641 * [taylor]: Taking taylor expansion of (* n PI) in n
2.641 * [taylor]: Taking taylor expansion of n in n
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify 1 into 1
2.641 * [taylor]: Taking taylor expansion of PI in n
2.641 * [backup-simplify]: Simplify PI into PI
2.641 * [backup-simplify]: Simplify (* 0 PI) into 0
2.642 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.644 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
2.645 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.645 * [backup-simplify]: Simplify (- k) into (- k)
2.645 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
2.646 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
2.647 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.648 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
2.649 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
2.649 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
2.649 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
2.649 * [taylor]: Taking taylor expansion of 0.5 in k
2.649 * [backup-simplify]: Simplify 0.5 into 0.5
2.649 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
2.649 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
2.649 * [taylor]: Taking taylor expansion of 1.0 in k
2.649 * [backup-simplify]: Simplify 1.0 into 1.0
2.650 * [taylor]: Taking taylor expansion of k in k
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify 1 into 1
2.650 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
2.650 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
2.650 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
2.650 * [taylor]: Taking taylor expansion of 2.0 in k
2.650 * [backup-simplify]: Simplify 2.0 into 2.0
2.650 * [taylor]: Taking taylor expansion of PI in k
2.650 * [backup-simplify]: Simplify PI into PI
2.650 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.651 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.651 * [taylor]: Taking taylor expansion of (log n) in k
2.651 * [taylor]: Taking taylor expansion of n in k
2.651 * [backup-simplify]: Simplify n into n
2.651 * [backup-simplify]: Simplify (log n) into (log n)
2.652 * [backup-simplify]: Simplify (- 0) into 0
2.652 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.653 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
2.654 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
2.655 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
2.656 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
2.657 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
2.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.659 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
2.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
2.661 * [backup-simplify]: Simplify (- 0) into 0
2.661 * [backup-simplify]: Simplify (+ 0 0) into 0
2.662 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
2.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.664 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
2.666 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.666 * [taylor]: Taking taylor expansion of 0 in k
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
2.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
2.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.669 * [backup-simplify]: Simplify (+ 0 0) into 0
2.670 * [backup-simplify]: Simplify (- 1) into -1
2.670 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.671 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
2.673 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
2.676 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
2.679 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
2.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.681 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
2.685 * [backup-simplify]: Simplify (- 0) into 0
2.685 * [backup-simplify]: Simplify (+ 0 0) into 0
2.686 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
2.687 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
2.689 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
2.691 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.691 * [taylor]: Taking taylor expansion of 0 in k
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
2.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
2.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.697 * [backup-simplify]: Simplify (+ 0 0) into 0
2.698 * [backup-simplify]: Simplify (- 0) into 0
2.698 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
2.702 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
2.711 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
2.717 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
2.729 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
2.730 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))
2.730 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
2.730 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
2.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
2.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
2.730 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
2.730 * [taylor]: Taking taylor expansion of 0.5 in k
2.730 * [backup-simplify]: Simplify 0.5 into 0.5
2.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
2.730 * [taylor]: Taking taylor expansion of 1.0 in k
2.730 * [backup-simplify]: Simplify 1.0 into 1.0
2.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.730 * [taylor]: Taking taylor expansion of k in k
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.731 * [backup-simplify]: Simplify (/ 1 1) into 1
2.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
2.731 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
2.731 * [taylor]: Taking taylor expansion of 2.0 in k
2.731 * [backup-simplify]: Simplify 2.0 into 2.0
2.731 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.731 * [taylor]: Taking taylor expansion of PI in k
2.731 * [backup-simplify]: Simplify PI into PI
2.731 * [taylor]: Taking taylor expansion of n in k
2.731 * [backup-simplify]: Simplify n into n
2.731 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.731 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
2.731 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
2.731 * [backup-simplify]: Simplify (- 1) into -1
2.732 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.732 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
2.732 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
2.733 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
2.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
2.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
2.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
2.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
2.733 * [taylor]: Taking taylor expansion of 0.5 in n
2.733 * [backup-simplify]: Simplify 0.5 into 0.5
2.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.733 * [taylor]: Taking taylor expansion of 1.0 in n
2.733 * [backup-simplify]: Simplify 1.0 into 1.0
2.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.733 * [taylor]: Taking taylor expansion of k in n
2.733 * [backup-simplify]: Simplify k into k
2.733 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.733 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.733 * [taylor]: Taking taylor expansion of 2.0 in n
2.733 * [backup-simplify]: Simplify 2.0 into 2.0
2.733 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.733 * [taylor]: Taking taylor expansion of PI in n
2.733 * [backup-simplify]: Simplify PI into PI
2.733 * [taylor]: Taking taylor expansion of n in n
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 1 into 1
2.734 * [backup-simplify]: Simplify (/ PI 1) into PI
2.734 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.735 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.735 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.735 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.735 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
2.737 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.738 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.739 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
2.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
2.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
2.739 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
2.739 * [taylor]: Taking taylor expansion of 0.5 in n
2.739 * [backup-simplify]: Simplify 0.5 into 0.5
2.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
2.739 * [taylor]: Taking taylor expansion of 1.0 in n
2.739 * [backup-simplify]: Simplify 1.0 into 1.0
2.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.739 * [taylor]: Taking taylor expansion of k in n
2.739 * [backup-simplify]: Simplify k into k
2.739 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
2.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
2.740 * [taylor]: Taking taylor expansion of 2.0 in n
2.740 * [backup-simplify]: Simplify 2.0 into 2.0
2.740 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.740 * [taylor]: Taking taylor expansion of PI in n
2.740 * [backup-simplify]: Simplify PI into PI
2.740 * [taylor]: Taking taylor expansion of n in n
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 1 into 1
2.740 * [backup-simplify]: Simplify (/ PI 1) into PI
2.741 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.742 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.742 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.742 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
2.742 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
2.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.744 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
2.745 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k
2.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k
2.746 * [taylor]: Taking taylor expansion of 0.5 in k
2.746 * [backup-simplify]: Simplify 0.5 into 0.5
2.746 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k
2.746 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
2.746 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
2.746 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
2.746 * [taylor]: Taking taylor expansion of 2.0 in k
2.746 * [backup-simplify]: Simplify 2.0 into 2.0
2.746 * [taylor]: Taking taylor expansion of PI in k
2.746 * [backup-simplify]: Simplify PI into PI
2.747 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
2.748 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
2.748 * [taylor]: Taking taylor expansion of (log n) in k
2.748 * [taylor]: Taking taylor expansion of n in k
2.748 * [backup-simplify]: Simplify n into n
2.748 * [backup-simplify]: Simplify (log n) into (log n)
2.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
2.748 * [taylor]: Taking taylor expansion of 1.0 in k
2.748 * [backup-simplify]: Simplify 1.0 into 1.0
2.748 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.748 * [taylor]: Taking taylor expansion of k in k
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (/ 1 1) into 1
2.748 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.749 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
2.750 * [backup-simplify]: Simplify (- 1) into -1
2.750 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.751 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n)))
2.752 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
2.753 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.755 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
2.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
2.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
2.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.758 * [backup-simplify]: Simplify (- 0) into 0
2.759 * [backup-simplify]: Simplify (+ 0 0) into 0
2.759 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
2.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.762 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
2.763 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.764 * [taylor]: Taking taylor expansion of 0 in k
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 0 into 0
2.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.766 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
2.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
2.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.769 * [backup-simplify]: Simplify (- 0) into 0
2.770 * [backup-simplify]: Simplify (+ 0 0) into 0
2.770 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
2.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.773 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
2.775 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.776 * [taylor]: Taking taylor expansion of 0 in k
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.778 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.783 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
2.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.784 * [backup-simplify]: Simplify (- 0) into 0
2.784 * [backup-simplify]: Simplify (+ 0 0) into 0
2.786 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
2.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
2.789 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
2.792 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.792 * [taylor]: Taking taylor expansion of 0 in k
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 0 into 0
2.793 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
2.794 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))
2.794 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
2.794 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
2.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
2.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
2.794 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
2.794 * [taylor]: Taking taylor expansion of 0.5 in k
2.794 * [backup-simplify]: Simplify 0.5 into 0.5
2.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
2.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.795 * [taylor]: Taking taylor expansion of k in k
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [backup-simplify]: Simplify (/ 1 1) into 1
2.795 * [taylor]: Taking taylor expansion of 1.0 in k
2.795 * [backup-simplify]: Simplify 1.0 into 1.0
2.795 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
2.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
2.795 * [taylor]: Taking taylor expansion of -2.0 in k
2.795 * [backup-simplify]: Simplify -2.0 into -2.0
2.795 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.795 * [taylor]: Taking taylor expansion of PI in k
2.795 * [backup-simplify]: Simplify PI into PI
2.795 * [taylor]: Taking taylor expansion of n in k
2.795 * [backup-simplify]: Simplify n into n
2.795 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.795 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
2.796 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
2.796 * [backup-simplify]: Simplify (+ 1 0) into 1
2.796 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
2.796 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
2.797 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
2.797 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
2.797 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
2.797 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
2.797 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
2.797 * [taylor]: Taking taylor expansion of 0.5 in n
2.797 * [backup-simplify]: Simplify 0.5 into 0.5
2.797 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.797 * [taylor]: Taking taylor expansion of k in n
2.797 * [backup-simplify]: Simplify k into k
2.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.797 * [taylor]: Taking taylor expansion of 1.0 in n
2.797 * [backup-simplify]: Simplify 1.0 into 1.0
2.797 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.797 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.797 * [taylor]: Taking taylor expansion of -2.0 in n
2.797 * [backup-simplify]: Simplify -2.0 into -2.0
2.797 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.797 * [taylor]: Taking taylor expansion of PI in n
2.797 * [backup-simplify]: Simplify PI into PI
2.797 * [taylor]: Taking taylor expansion of n in n
2.797 * [backup-simplify]: Simplify 0 into 0
2.797 * [backup-simplify]: Simplify 1 into 1
2.798 * [backup-simplify]: Simplify (/ PI 1) into PI
2.798 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.799 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.799 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.800 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
2.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.802 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.803 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.803 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
2.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
2.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
2.803 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
2.803 * [taylor]: Taking taylor expansion of 0.5 in n
2.803 * [backup-simplify]: Simplify 0.5 into 0.5
2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
2.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.803 * [taylor]: Taking taylor expansion of k in n
2.803 * [backup-simplify]: Simplify k into k
2.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.803 * [taylor]: Taking taylor expansion of 1.0 in n
2.803 * [backup-simplify]: Simplify 1.0 into 1.0
2.804 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
2.804 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
2.804 * [taylor]: Taking taylor expansion of -2.0 in n
2.804 * [backup-simplify]: Simplify -2.0 into -2.0
2.804 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.804 * [taylor]: Taking taylor expansion of PI in n
2.804 * [backup-simplify]: Simplify PI into PI
2.804 * [taylor]: Taking taylor expansion of n in n
2.804 * [backup-simplify]: Simplify 0 into 0
2.804 * [backup-simplify]: Simplify 1 into 1
2.804 * [backup-simplify]: Simplify (/ PI 1) into PI
2.805 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.806 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.806 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
2.806 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
2.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.809 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
2.810 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k
2.810 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k
2.810 * [taylor]: Taking taylor expansion of 0.5 in k
2.810 * [backup-simplify]: Simplify 0.5 into 0.5
2.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k
2.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
2.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.810 * [taylor]: Taking taylor expansion of k in k
2.810 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify 1 into 1
2.810 * [backup-simplify]: Simplify (/ 1 1) into 1
2.810 * [taylor]: Taking taylor expansion of 1.0 in k
2.810 * [backup-simplify]: Simplify 1.0 into 1.0
2.810 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
2.810 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
2.811 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
2.811 * [taylor]: Taking taylor expansion of -2.0 in k
2.811 * [backup-simplify]: Simplify -2.0 into -2.0
2.811 * [taylor]: Taking taylor expansion of PI in k
2.811 * [backup-simplify]: Simplify PI into PI
2.811 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
2.812 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
2.812 * [taylor]: Taking taylor expansion of (log n) in k
2.812 * [taylor]: Taking taylor expansion of n in k
2.812 * [backup-simplify]: Simplify n into n
2.812 * [backup-simplify]: Simplify (log n) into (log n)
2.813 * [backup-simplify]: Simplify (+ 1 0) into 1
2.813 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.814 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
2.815 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n))
2.816 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
2.817 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.818 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
2.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.820 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
2.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.822 * [backup-simplify]: Simplify (+ 0 0) into 0
2.822 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
2.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.825 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
2.827 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.827 * [taylor]: Taking taylor expansion of 0 in k
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.829 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
2.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
2.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.832 * [backup-simplify]: Simplify (+ 0 0) into 0
2.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
2.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.836 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
2.838 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.838 * [taylor]: Taking taylor expansion of 0 in k
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.840 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.846 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
2.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.846 * [backup-simplify]: Simplify (+ 0 0) into 0
2.847 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
2.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
2.855 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
2.858 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.858 * [taylor]: Taking taylor expansion of 0 in k
2.858 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
2.860 * * * [progress]: simplifying candidates
2.863 * [simplify]: Simplifying:
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (- (log 1.0) (log (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) 1)
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt 1))
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) 1)
  (/ (sqrt 1.0) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (sqrt 1))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 1)
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ 1.0 (sqrt k)) 1)
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
  (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
  (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
2.872 * * [simplify]: Extracting # 0 : cost  0
2.872 * * [simplify]: Extracting # 1 : cost  0
2.873 * * [simplify]: Extracting # 2 : cost  0
2.873 * * [simplify]: Extracting # 3 : cost  0
2.874 * * [simplify]: Extracting # 4 : cost  0
2.875 * * [simplify]: Extracting # 5 : cost  0
2.876 * * [simplify]: Extracting # 6 : cost  0
2.876 * * [simplify]: Extracting # 7 : cost  0
2.877 * * [simplify]: Extracting # 8 : cost  0
2.878 * * [simplify]: Extracting # 9 : cost  0
2.879 * * [simplify]: Extracting # 10 : cost  0
2.880 * * [simplify]: Extracting # 11 : cost  0
2.881 * * [simplify]: Extracting # 12 : cost  0
2.882 * * [simplify]: Extracting # 13 : cost  0
2.883 * * [simplify]: Extracting # 14 : cost  0
2.884 * * [simplify]: Extracting # 15 : cost  0
2.885 * * [simplify]: Extracting # 16 : cost  0
2.886 * * [simplify]: Extracting # 17 : cost  0
2.887 * * [simplify]: Extracting # 18 : cost  0
2.888 * * [simplify]: Extracting # 19 : cost  0
2.889 * * [simplify]: Extracting # 20 : cost  0
2.890 * * [simplify]: Extracting # 21 : cost  0
2.891 * * [simplify]: Extracting # 22 : cost  0
2.893 * * [simplify]: Extracting # 23 : cost  0
2.894 * * [simplify]: Extracting # 24 : cost  0
2.895 * * [simplify]: Extracting # 25 : cost  0
2.896 * * [simplify]: Extracting # 26 : cost  0
2.898 * * [simplify]: iteration  0 :  361  enodes  (cost  2800 )
3.072 * * [simplify]: Extracting # 0 : cost  0
3.075 * * [simplify]: Extracting # 1 : cost  0
3.077 * * [simplify]: Extracting # 2 : cost  0
3.080 * * [simplify]: Extracting # 3 : cost  0
3.082 * * [simplify]: Extracting # 4 : cost  0
3.085 * * [simplify]: Extracting # 5 : cost  0
3.087 * * [simplify]: Extracting # 6 : cost  0
3.090 * * [simplify]: iteration  1 :  1008  enodes  (cost  2643 )
3.971 * * [simplify]: Extracting # 0 : cost  0
3.981 * * [simplify]: Extracting # 1 : cost  0
3.993 * * [simplify]: Extracting # 2 : cost  0
4.006 * * [simplify]: Extracting # 3 : cost  0
4.018 * * [simplify]: Extracting # 4 : cost  0
4.035 * * [simplify]: Extracting # 5 : cost  0
4.047 * * [simplify]: Extracting # 6 : cost  0
4.059 * * [simplify]: iteration  2 :  4879  enodes  (cost  2473 )
6.107 * * [simplify]: Extracting # 0 : cost  0
6.131 * * [simplify]: Extracting # 1 : cost  0
6.148 * * [simplify]: Extracting # 2 : cost  0
6.162 * * [simplify]: iteration done:  5001  enodes  (cost  2473 )
6.164 * [simplify]: Simplified to:
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (log (* (* 2.0 PI) n))
  (log (* (* 2.0 PI) n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (pow (* (* 2.0 PI) n) 3)
  (pow (* (* 2.0 PI) n) 3)
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (pow (* (* 2.0 PI) n) 3)
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* 2.0 PI)
  (* PI n)
  (log (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (/ (pow 1.0 3) (* (sqrt k) k))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (pow (/ 1.0 (sqrt k)) 3)
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k)))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (fabs (cbrt k)))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (fabs (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (pow 1.0 3) (/ (* (sqrt k) k) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)))
  (* (pow (/ 1.0 (sqrt k)) 3) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3))
  (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3)
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (sqrt k))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n)))
  (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n)))
  (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n)))
  (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n)))
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* (* 2.0 PI) n)
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0)))
  (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (- (/ +nan.0 (pow k 2))))
  (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0))
  (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))
  (- (- (* (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3)) +nan.0) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2))))))
  (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))
  (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5)))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.25 (* (log (* 2.0 PI)) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))) (pow k 2))) (* 0.5 (* k (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (log n) (pow (* (* 2.0 PI) n) 0.5))))))
  (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
6.167 * * * [progress]: adding candidates to table
7.258 * * [progress]: iteration 2 / 4
7.258 * * * [progress]: picking best candidate
7.343 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))>
7.343 * * * [progress]: localizing error
7.384 * * * [progress]: generating rewritten candidates
7.384 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2 1)
7.420 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
7.469 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2)
7.518 * * * [progress]: generating series expansions
7.519 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2 1)
7.519 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
7.520 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
7.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
7.520 * [taylor]: Taking taylor expansion of 2.0 in n
7.520 * [backup-simplify]: Simplify 2.0 into 2.0
7.520 * [taylor]: Taking taylor expansion of (* n PI) in n
7.520 * [taylor]: Taking taylor expansion of n in n
7.520 * [backup-simplify]: Simplify 0 into 0
7.520 * [backup-simplify]: Simplify 1 into 1
7.520 * [taylor]: Taking taylor expansion of PI in n
7.520 * [backup-simplify]: Simplify PI into PI
7.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
7.520 * [taylor]: Taking taylor expansion of 2.0 in n
7.520 * [backup-simplify]: Simplify 2.0 into 2.0
7.520 * [taylor]: Taking taylor expansion of (* n PI) in n
7.520 * [taylor]: Taking taylor expansion of n in n
7.520 * [backup-simplify]: Simplify 0 into 0
7.520 * [backup-simplify]: Simplify 1 into 1
7.520 * [taylor]: Taking taylor expansion of PI in n
7.520 * [backup-simplify]: Simplify PI into PI
7.521 * [backup-simplify]: Simplify (* 0 PI) into 0
7.521 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.521 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.524 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
7.525 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.527 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
7.527 * [backup-simplify]: Simplify 0 into 0
7.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.529 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.529 * [backup-simplify]: Simplify 0 into 0
7.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.532 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.532 * [backup-simplify]: Simplify 0 into 0
7.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.536 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
7.536 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.539 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
7.539 * [backup-simplify]: Simplify 0 into 0
7.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
7.543 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
7.543 * [backup-simplify]: Simplify 0 into 0
7.544 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
7.544 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
7.544 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
7.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
7.544 * [taylor]: Taking taylor expansion of 2.0 in n
7.544 * [backup-simplify]: Simplify 2.0 into 2.0
7.544 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.544 * [taylor]: Taking taylor expansion of PI in n
7.545 * [backup-simplify]: Simplify PI into PI
7.545 * [taylor]: Taking taylor expansion of n in n
7.545 * [backup-simplify]: Simplify 0 into 0
7.545 * [backup-simplify]: Simplify 1 into 1
7.545 * [backup-simplify]: Simplify (/ PI 1) into PI
7.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
7.545 * [taylor]: Taking taylor expansion of 2.0 in n
7.545 * [backup-simplify]: Simplify 2.0 into 2.0
7.545 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.545 * [taylor]: Taking taylor expansion of PI in n
7.545 * [backup-simplify]: Simplify PI into PI
7.545 * [taylor]: Taking taylor expansion of n in n
7.545 * [backup-simplify]: Simplify 0 into 0
7.545 * [backup-simplify]: Simplify 1 into 1
7.546 * [backup-simplify]: Simplify (/ PI 1) into PI
7.546 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.547 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.548 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
7.548 * [backup-simplify]: Simplify 0 into 0
7.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.551 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
7.551 * [backup-simplify]: Simplify 0 into 0
7.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.553 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.553 * [backup-simplify]: Simplify 0 into 0
7.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.555 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.555 * [backup-simplify]: Simplify 0 into 0
7.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.558 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.558 * [backup-simplify]: Simplify 0 into 0
7.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.561 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.561 * [backup-simplify]: Simplify 0 into 0
7.562 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
7.562 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
7.563 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
7.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
7.563 * [taylor]: Taking taylor expansion of -2.0 in n
7.563 * [backup-simplify]: Simplify -2.0 into -2.0
7.563 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.563 * [taylor]: Taking taylor expansion of PI in n
7.563 * [backup-simplify]: Simplify PI into PI
7.563 * [taylor]: Taking taylor expansion of n in n
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify 1 into 1
7.563 * [backup-simplify]: Simplify (/ PI 1) into PI
7.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
7.563 * [taylor]: Taking taylor expansion of -2.0 in n
7.563 * [backup-simplify]: Simplify -2.0 into -2.0
7.563 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.563 * [taylor]: Taking taylor expansion of PI in n
7.563 * [backup-simplify]: Simplify PI into PI
7.563 * [taylor]: Taking taylor expansion of n in n
7.564 * [backup-simplify]: Simplify 0 into 0
7.564 * [backup-simplify]: Simplify 1 into 1
7.564 * [backup-simplify]: Simplify (/ PI 1) into PI
7.565 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.565 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.567 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.569 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
7.569 * [backup-simplify]: Simplify 0 into 0
7.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.571 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.572 * [backup-simplify]: Simplify 0 into 0
7.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.574 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.574 * [backup-simplify]: Simplify 0 into 0
7.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.577 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.577 * [backup-simplify]: Simplify 0 into 0
7.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.580 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.580 * [backup-simplify]: Simplify 0 into 0
7.581 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
7.581 * * * * [progress]: [ 2 / 3 ] generating series at (2)
7.581 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))))
7.581 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0
7.582 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k
7.582 * [taylor]: Taking taylor expansion of 1.0 in k
7.582 * [backup-simplify]: Simplify 1.0 into 1.0
7.582 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k
7.582 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
7.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
7.582 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
7.582 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
7.582 * [taylor]: Taking taylor expansion of 0.5 in k
7.582 * [backup-simplify]: Simplify 0.5 into 0.5
7.582 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
7.582 * [taylor]: Taking taylor expansion of 1.0 in k
7.582 * [backup-simplify]: Simplify 1.0 into 1.0
7.582 * [taylor]: Taking taylor expansion of k in k
7.582 * [backup-simplify]: Simplify 0 into 0
7.582 * [backup-simplify]: Simplify 1 into 1
7.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
7.582 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
7.582 * [taylor]: Taking taylor expansion of 2.0 in k
7.582 * [backup-simplify]: Simplify 2.0 into 2.0
7.582 * [taylor]: Taking taylor expansion of (* n PI) in k
7.582 * [taylor]: Taking taylor expansion of n in k
7.582 * [backup-simplify]: Simplify n into n
7.582 * [taylor]: Taking taylor expansion of PI in k
7.582 * [backup-simplify]: Simplify PI into PI
7.582 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.582 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
7.583 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
7.583 * [backup-simplify]: Simplify (- 0) into 0
7.583 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.584 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
7.584 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
7.584 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
7.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.584 * [taylor]: Taking taylor expansion of k in k
7.584 * [backup-simplify]: Simplify 0 into 0
7.584 * [backup-simplify]: Simplify 1 into 1
7.585 * [backup-simplify]: Simplify (/ 1 1) into 1
7.585 * [backup-simplify]: Simplify (sqrt 0) into 0
7.586 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.587 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n
7.587 * [taylor]: Taking taylor expansion of 1.0 in n
7.587 * [backup-simplify]: Simplify 1.0 into 1.0
7.587 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n
7.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
7.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
7.587 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
7.587 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
7.587 * [taylor]: Taking taylor expansion of 0.5 in n
7.587 * [backup-simplify]: Simplify 0.5 into 0.5
7.587 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
7.587 * [taylor]: Taking taylor expansion of 1.0 in n
7.587 * [backup-simplify]: Simplify 1.0 into 1.0
7.587 * [taylor]: Taking taylor expansion of k in n
7.587 * [backup-simplify]: Simplify k into k
7.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
7.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
7.587 * [taylor]: Taking taylor expansion of 2.0 in n
7.587 * [backup-simplify]: Simplify 2.0 into 2.0
7.587 * [taylor]: Taking taylor expansion of (* n PI) in n
7.587 * [taylor]: Taking taylor expansion of n in n
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify 1 into 1
7.587 * [taylor]: Taking taylor expansion of PI in n
7.587 * [backup-simplify]: Simplify PI into PI
7.588 * [backup-simplify]: Simplify (* 0 PI) into 0
7.588 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.590 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.591 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
7.592 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.592 * [backup-simplify]: Simplify (- k) into (- k)
7.593 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
7.593 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
7.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.595 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
7.596 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
7.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.597 * [taylor]: Taking taylor expansion of k in n
7.597 * [backup-simplify]: Simplify k into k
7.597 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.597 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.597 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n
7.597 * [taylor]: Taking taylor expansion of 1.0 in n
7.597 * [backup-simplify]: Simplify 1.0 into 1.0
7.597 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n
7.597 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
7.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
7.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
7.597 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
7.597 * [taylor]: Taking taylor expansion of 0.5 in n
7.597 * [backup-simplify]: Simplify 0.5 into 0.5
7.597 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
7.597 * [taylor]: Taking taylor expansion of 1.0 in n
7.597 * [backup-simplify]: Simplify 1.0 into 1.0
7.597 * [taylor]: Taking taylor expansion of k in n
7.598 * [backup-simplify]: Simplify k into k
7.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
7.598 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
7.598 * [taylor]: Taking taylor expansion of 2.0 in n
7.598 * [backup-simplify]: Simplify 2.0 into 2.0
7.598 * [taylor]: Taking taylor expansion of (* n PI) in n
7.598 * [taylor]: Taking taylor expansion of n in n
7.598 * [backup-simplify]: Simplify 0 into 0
7.598 * [backup-simplify]: Simplify 1 into 1
7.598 * [taylor]: Taking taylor expansion of PI in n
7.598 * [backup-simplify]: Simplify PI into PI
7.598 * [backup-simplify]: Simplify (* 0 PI) into 0
7.599 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.602 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
7.603 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.603 * [backup-simplify]: Simplify (- k) into (- k)
7.603 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
7.603 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
7.605 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.606 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
7.607 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
7.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.607 * [taylor]: Taking taylor expansion of k in n
7.607 * [backup-simplify]: Simplify k into k
7.607 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.607 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.614 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))
7.616 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) into (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))
7.616 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k
7.616 * [taylor]: Taking taylor expansion of 1.0 in k
7.616 * [backup-simplify]: Simplify 1.0 into 1.0
7.616 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k
7.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.616 * [taylor]: Taking taylor expansion of k in k
7.616 * [backup-simplify]: Simplify 0 into 0
7.616 * [backup-simplify]: Simplify 1 into 1
7.617 * [backup-simplify]: Simplify (/ 1 1) into 1
7.617 * [backup-simplify]: Simplify (sqrt 0) into 0
7.618 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.618 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
7.619 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
7.619 * [taylor]: Taking taylor expansion of 0.5 in k
7.619 * [backup-simplify]: Simplify 0.5 into 0.5
7.619 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
7.619 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
7.619 * [taylor]: Taking taylor expansion of 1.0 in k
7.619 * [backup-simplify]: Simplify 1.0 into 1.0
7.619 * [taylor]: Taking taylor expansion of k in k
7.619 * [backup-simplify]: Simplify 0 into 0
7.619 * [backup-simplify]: Simplify 1 into 1
7.619 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
7.619 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
7.619 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
7.619 * [taylor]: Taking taylor expansion of 2.0 in k
7.619 * [backup-simplify]: Simplify 2.0 into 2.0
7.619 * [taylor]: Taking taylor expansion of PI in k
7.619 * [backup-simplify]: Simplify PI into PI
7.620 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.621 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.621 * [taylor]: Taking taylor expansion of (log n) in k
7.621 * [taylor]: Taking taylor expansion of n in k
7.621 * [backup-simplify]: Simplify n into n
7.621 * [backup-simplify]: Simplify (log n) into (log n)
7.621 * [backup-simplify]: Simplify (- 0) into 0
7.622 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.623 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
7.624 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
7.625 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
7.626 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
7.627 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) into 0
7.628 * [backup-simplify]: Simplify (* 1.0 0) into 0
7.628 * [backup-simplify]: Simplify 0 into 0
7.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.630 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
7.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
7.632 * [backup-simplify]: Simplify (- 0) into 0
7.633 * [backup-simplify]: Simplify (+ 0 0) into 0
7.633 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
7.635 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.636 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
7.638 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.639 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
7.641 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))) into 0
7.641 * [taylor]: Taking taylor expansion of 0 in k
7.641 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
7.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
7.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
7.645 * [backup-simplify]: Simplify (+ 0 0) into 0
7.645 * [backup-simplify]: Simplify (- 1) into -1
7.646 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.648 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
7.650 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
7.654 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
7.658 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
7.659 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
7.661 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
7.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
7.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.664 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
7.669 * [backup-simplify]: Simplify (- 0) into 0
7.669 * [backup-simplify]: Simplify (+ 0 0) into 0
7.670 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
7.671 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.673 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
7.676 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.678 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
7.680 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))))) into 0
7.680 * [taylor]: Taking taylor expansion of 0 in k
7.680 * [backup-simplify]: Simplify 0 into 0
7.680 * [backup-simplify]: Simplify 0 into 0
7.681 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
7.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
7.687 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
7.688 * [backup-simplify]: Simplify (+ 0 0) into 0
7.688 * [backup-simplify]: Simplify (- 0) into 0
7.688 * [backup-simplify]: Simplify (+ 0 0) into 0
7.690 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
7.693 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
7.698 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.703 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.713 * [backup-simplify]: Simplify (+ (* 0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))) (+ (* +nan.0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))
7.720 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))
7.725 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))
7.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
7.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.730 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.737 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
7.737 * [backup-simplify]: Simplify (- 0) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.739 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 k))))) into 0
7.740 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.742 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0
7.745 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.747 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
7.750 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))))) into 0
7.750 * [taylor]: Taking taylor expansion of 0 in k
7.750 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify 0 into 0
7.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.758 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
7.761 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
7.761 * [backup-simplify]: Simplify (+ 0 0) into 0
7.762 * [backup-simplify]: Simplify (- 0) into 0
7.762 * [backup-simplify]: Simplify (+ 0 0) into 0
7.764 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0
7.772 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))))) into 0
7.779 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n))) (* 0.020833333333333332 (pow (log n) 3)))))))
7.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.804 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n))) (* 0.020833333333333332 (pow (log n) 3)))))))) (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))) (+ (* +nan.0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))
7.825 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))))))
7.837 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))))))
7.855 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))))))))))
7.856 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) (sqrt (/ 1 k))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))
7.857 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0
7.857 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
7.857 * [taylor]: Taking taylor expansion of 1.0 in k
7.857 * [backup-simplify]: Simplify 1.0 into 1.0
7.857 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
7.857 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.857 * [taylor]: Taking taylor expansion of k in k
7.857 * [backup-simplify]: Simplify 0 into 0
7.857 * [backup-simplify]: Simplify 1 into 1
7.857 * [backup-simplify]: Simplify (sqrt 0) into 0
7.858 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.858 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
7.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
7.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
7.859 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
7.859 * [taylor]: Taking taylor expansion of 0.5 in k
7.859 * [backup-simplify]: Simplify 0.5 into 0.5
7.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
7.859 * [taylor]: Taking taylor expansion of 1.0 in k
7.859 * [backup-simplify]: Simplify 1.0 into 1.0
7.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.859 * [taylor]: Taking taylor expansion of k in k
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 1 into 1
7.859 * [backup-simplify]: Simplify (/ 1 1) into 1
7.859 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
7.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
7.859 * [taylor]: Taking taylor expansion of 2.0 in k
7.859 * [backup-simplify]: Simplify 2.0 into 2.0
7.859 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.859 * [taylor]: Taking taylor expansion of PI in k
7.859 * [backup-simplify]: Simplify PI into PI
7.859 * [taylor]: Taking taylor expansion of n in k
7.859 * [backup-simplify]: Simplify n into n
7.859 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.859 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
7.860 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
7.860 * [backup-simplify]: Simplify (- 1) into -1
7.860 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.861 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
7.861 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
7.861 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
7.861 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
7.861 * [taylor]: Taking taylor expansion of 1.0 in n
7.861 * [backup-simplify]: Simplify 1.0 into 1.0
7.861 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
7.861 * [taylor]: Taking taylor expansion of (sqrt k) in n
7.861 * [taylor]: Taking taylor expansion of k in n
7.861 * [backup-simplify]: Simplify k into k
7.861 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
7.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
7.861 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
7.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
7.861 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
7.861 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
7.861 * [taylor]: Taking taylor expansion of 0.5 in n
7.861 * [backup-simplify]: Simplify 0.5 into 0.5
7.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
7.862 * [taylor]: Taking taylor expansion of 1.0 in n
7.862 * [backup-simplify]: Simplify 1.0 into 1.0
7.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.862 * [taylor]: Taking taylor expansion of k in n
7.862 * [backup-simplify]: Simplify k into k
7.862 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
7.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
7.862 * [taylor]: Taking taylor expansion of 2.0 in n
7.862 * [backup-simplify]: Simplify 2.0 into 2.0
7.862 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.862 * [taylor]: Taking taylor expansion of PI in n
7.862 * [backup-simplify]: Simplify PI into PI
7.862 * [taylor]: Taking taylor expansion of n in n
7.862 * [backup-simplify]: Simplify 0 into 0
7.862 * [backup-simplify]: Simplify 1 into 1
7.862 * [backup-simplify]: Simplify (/ PI 1) into PI
7.863 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.864 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.864 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
7.864 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
7.864 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
7.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.866 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
7.868 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
7.868 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
7.868 * [taylor]: Taking taylor expansion of 1.0 in n
7.868 * [backup-simplify]: Simplify 1.0 into 1.0
7.868 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
7.868 * [taylor]: Taking taylor expansion of (sqrt k) in n
7.868 * [taylor]: Taking taylor expansion of k in n
7.868 * [backup-simplify]: Simplify k into k
7.868 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
7.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
7.868 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
7.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
7.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
7.868 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
7.868 * [taylor]: Taking taylor expansion of 0.5 in n
7.868 * [backup-simplify]: Simplify 0.5 into 0.5
7.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
7.868 * [taylor]: Taking taylor expansion of 1.0 in n
7.868 * [backup-simplify]: Simplify 1.0 into 1.0
7.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.868 * [taylor]: Taking taylor expansion of k in n
7.868 * [backup-simplify]: Simplify k into k
7.868 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.868 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
7.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
7.868 * [taylor]: Taking taylor expansion of 2.0 in n
7.868 * [backup-simplify]: Simplify 2.0 into 2.0
7.868 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.868 * [taylor]: Taking taylor expansion of PI in n
7.868 * [backup-simplify]: Simplify PI into PI
7.869 * [taylor]: Taking taylor expansion of n in n
7.869 * [backup-simplify]: Simplify 0 into 0
7.869 * [backup-simplify]: Simplify 1 into 1
7.869 * [backup-simplify]: Simplify (/ PI 1) into PI
7.869 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.870 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.871 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
7.871 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
7.871 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
7.872 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.873 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
7.874 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
7.875 * [backup-simplify]: Simplify (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
7.877 * [backup-simplify]: Simplify (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.877 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k
7.877 * [taylor]: Taking taylor expansion of 1.0 in k
7.877 * [backup-simplify]: Simplify 1.0 into 1.0
7.877 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k
7.877 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.877 * [taylor]: Taking taylor expansion of k in k
7.877 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify 1 into 1
7.877 * [backup-simplify]: Simplify (sqrt 0) into 0
7.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.878 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k
7.878 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k
7.878 * [taylor]: Taking taylor expansion of 0.5 in k
7.878 * [backup-simplify]: Simplify 0.5 into 0.5
7.879 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k
7.879 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
7.879 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
7.879 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
7.879 * [taylor]: Taking taylor expansion of 2.0 in k
7.879 * [backup-simplify]: Simplify 2.0 into 2.0
7.879 * [taylor]: Taking taylor expansion of PI in k
7.879 * [backup-simplify]: Simplify PI into PI
7.879 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.880 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.880 * [taylor]: Taking taylor expansion of (log n) in k
7.880 * [taylor]: Taking taylor expansion of n in k
7.880 * [backup-simplify]: Simplify n into n
7.880 * [backup-simplify]: Simplify (log n) into (log n)
7.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
7.880 * [taylor]: Taking taylor expansion of 1.0 in k
7.880 * [backup-simplify]: Simplify 1.0 into 1.0
7.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.880 * [taylor]: Taking taylor expansion of k in k
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 1 into 1
7.881 * [backup-simplify]: Simplify (/ 1 1) into 1
7.881 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.882 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
7.882 * [backup-simplify]: Simplify (- 1) into -1
7.882 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.883 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n)))
7.884 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
7.886 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
7.887 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into 0
7.887 * [backup-simplify]: Simplify (* 1.0 0) into 0
7.887 * [backup-simplify]: Simplify 0 into 0
7.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.889 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
7.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
7.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.891 * [backup-simplify]: Simplify (- 0) into 0
7.891 * [backup-simplify]: Simplify (+ 0 0) into 0
7.892 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
7.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.894 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
7.896 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.897 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0
7.899 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0
7.899 * [taylor]: Taking taylor expansion of 0 in k
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.902 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.903 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.905 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
7.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
7.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.914 * [backup-simplify]: Simplify (- 0) into 0
7.914 * [backup-simplify]: Simplify (+ 0 0) into 0
7.915 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
7.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.918 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
7.920 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.921 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
7.922 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0
7.924 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0
7.924 * [taylor]: Taking taylor expansion of 0 in k
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify 0 into 0
7.927 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.932 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.933 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.935 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.941 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
7.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.942 * [backup-simplify]: Simplify (- 0) into 0
7.942 * [backup-simplify]: Simplify (+ 0 0) into 0
7.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
7.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.946 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
7.949 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
7.952 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0
7.954 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))))) into 0
7.954 * [taylor]: Taking taylor expansion of 0 in k
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.964 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.965 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
7.970 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
7.971 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) (sqrt (/ 1 (- k)))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))))
7.971 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0
7.971 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
7.971 * [taylor]: Taking taylor expansion of 1.0 in k
7.971 * [backup-simplify]: Simplify 1.0 into 1.0
7.971 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
7.971 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
7.971 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
7.971 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
7.971 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
7.971 * [taylor]: Taking taylor expansion of 0.5 in k
7.971 * [backup-simplify]: Simplify 0.5 into 0.5
7.971 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
7.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.971 * [taylor]: Taking taylor expansion of k in k
7.971 * [backup-simplify]: Simplify 0 into 0
7.972 * [backup-simplify]: Simplify 1 into 1
7.972 * [backup-simplify]: Simplify (/ 1 1) into 1
7.972 * [taylor]: Taking taylor expansion of 1.0 in k
7.972 * [backup-simplify]: Simplify 1.0 into 1.0
7.972 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
7.972 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
7.972 * [taylor]: Taking taylor expansion of -2.0 in k
7.972 * [backup-simplify]: Simplify -2.0 into -2.0
7.972 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.972 * [taylor]: Taking taylor expansion of PI in k
7.972 * [backup-simplify]: Simplify PI into PI
7.972 * [taylor]: Taking taylor expansion of n in k
7.972 * [backup-simplify]: Simplify n into n
7.972 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.972 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
7.972 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
7.973 * [backup-simplify]: Simplify (+ 1 0) into 1
7.973 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
7.973 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
7.974 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
7.974 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.974 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.974 * [taylor]: Taking taylor expansion of -1 in k
7.974 * [backup-simplify]: Simplify -1 into -1
7.974 * [taylor]: Taking taylor expansion of k in k
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 1 into 1
7.974 * [backup-simplify]: Simplify (/ -1 1) into -1
7.975 * [backup-simplify]: Simplify (sqrt 0) into 0
7.976 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.976 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
7.976 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
7.976 * [taylor]: Taking taylor expansion of 1.0 in n
7.976 * [backup-simplify]: Simplify 1.0 into 1.0
7.976 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
7.976 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
7.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
7.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
7.976 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
7.977 * [taylor]: Taking taylor expansion of 0.5 in n
7.977 * [backup-simplify]: Simplify 0.5 into 0.5
7.977 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
7.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.977 * [taylor]: Taking taylor expansion of k in n
7.977 * [backup-simplify]: Simplify k into k
7.977 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.977 * [taylor]: Taking taylor expansion of 1.0 in n
7.977 * [backup-simplify]: Simplify 1.0 into 1.0
7.977 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
7.977 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
7.977 * [taylor]: Taking taylor expansion of -2.0 in n
7.977 * [backup-simplify]: Simplify -2.0 into -2.0
7.977 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.977 * [taylor]: Taking taylor expansion of PI in n
7.977 * [backup-simplify]: Simplify PI into PI
7.977 * [taylor]: Taking taylor expansion of n in n
7.977 * [backup-simplify]: Simplify 0 into 0
7.977 * [backup-simplify]: Simplify 1 into 1
7.978 * [backup-simplify]: Simplify (/ PI 1) into PI
7.978 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.979 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
7.979 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
7.979 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
7.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
7.982 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
7.983 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
7.983 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
7.983 * [taylor]: Taking taylor expansion of (/ -1 k) in n
7.983 * [taylor]: Taking taylor expansion of -1 in n
7.983 * [backup-simplify]: Simplify -1 into -1
7.983 * [taylor]: Taking taylor expansion of k in n
7.983 * [backup-simplify]: Simplify k into k
7.983 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
7.983 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
7.983 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
7.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
7.985 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))
7.985 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
7.985 * [taylor]: Taking taylor expansion of 1.0 in n
7.985 * [backup-simplify]: Simplify 1.0 into 1.0
7.985 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
7.985 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
7.985 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
7.985 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
7.985 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
7.985 * [taylor]: Taking taylor expansion of 0.5 in n
7.985 * [backup-simplify]: Simplify 0.5 into 0.5
7.985 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
7.985 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.985 * [taylor]: Taking taylor expansion of k in n
7.985 * [backup-simplify]: Simplify k into k
7.985 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.985 * [taylor]: Taking taylor expansion of 1.0 in n
7.985 * [backup-simplify]: Simplify 1.0 into 1.0
7.985 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
7.985 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
7.985 * [taylor]: Taking taylor expansion of -2.0 in n
7.985 * [backup-simplify]: Simplify -2.0 into -2.0
7.985 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.985 * [taylor]: Taking taylor expansion of PI in n
7.985 * [backup-simplify]: Simplify PI into PI
7.985 * [taylor]: Taking taylor expansion of n in n
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 1 into 1
7.986 * [backup-simplify]: Simplify (/ PI 1) into PI
7.986 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.987 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
7.987 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
7.987 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
7.989 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
7.990 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
7.991 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
7.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
7.991 * [taylor]: Taking taylor expansion of (/ -1 k) in n
7.991 * [taylor]: Taking taylor expansion of -1 in n
7.991 * [backup-simplify]: Simplify -1 into -1
7.991 * [taylor]: Taking taylor expansion of k in n
7.991 * [backup-simplify]: Simplify k into k
7.991 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
7.991 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
7.991 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
7.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
7.993 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))
7.994 * [backup-simplify]: Simplify (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) into (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))))
7.994 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k
7.994 * [taylor]: Taking taylor expansion of 1.0 in k
7.994 * [backup-simplify]: Simplify 1.0 into 1.0
7.994 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k
7.994 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k
7.994 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k
7.995 * [taylor]: Taking taylor expansion of 0.5 in k
7.995 * [backup-simplify]: Simplify 0.5 into 0.5
7.995 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k
7.995 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
7.995 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.995 * [taylor]: Taking taylor expansion of k in k
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify 1 into 1
7.995 * [backup-simplify]: Simplify (/ 1 1) into 1
7.995 * [taylor]: Taking taylor expansion of 1.0 in k
7.995 * [backup-simplify]: Simplify 1.0 into 1.0
7.995 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
7.995 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
7.995 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
7.995 * [taylor]: Taking taylor expansion of -2.0 in k
7.995 * [backup-simplify]: Simplify -2.0 into -2.0
7.995 * [taylor]: Taking taylor expansion of PI in k
7.995 * [backup-simplify]: Simplify PI into PI
7.996 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.997 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
7.997 * [taylor]: Taking taylor expansion of (log n) in k
7.997 * [taylor]: Taking taylor expansion of n in k
7.997 * [backup-simplify]: Simplify n into n
7.997 * [backup-simplify]: Simplify (log n) into (log n)
7.997 * [backup-simplify]: Simplify (+ 1 0) into 1
7.997 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.998 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
7.999 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n))
8.000 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
8.001 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.002 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.002 * [taylor]: Taking taylor expansion of -1 in k
8.002 * [backup-simplify]: Simplify -1 into -1
8.002 * [taylor]: Taking taylor expansion of k in k
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify 1 into 1
8.002 * [backup-simplify]: Simplify (/ -1 1) into -1
8.002 * [backup-simplify]: Simplify (sqrt 0) into 0
8.004 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.005 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
8.006 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
8.007 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
8.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.009 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
8.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
8.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
8.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.014 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
8.016 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.018 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
8.019 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))))) into 0
8.019 * [taylor]: Taking taylor expansion of 0 in k
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [backup-simplify]: Simplify 0 into 0
8.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.023 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.025 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.028 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.029 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.031 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
8.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.035 * [backup-simplify]: Simplify (+ 0 0) into 0
8.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
8.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.039 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
8.041 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.041 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
8.043 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
8.045 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))))) into 0
8.045 * [taylor]: Taking taylor expansion of 0 in k
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.059 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.062 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.064 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
8.068 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
8.068 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2)
8.069 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))
8.069 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0
8.069 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
8.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
8.069 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
8.069 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
8.069 * [taylor]: Taking taylor expansion of 0.5 in k
8.069 * [backup-simplify]: Simplify 0.5 into 0.5
8.069 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
8.069 * [taylor]: Taking taylor expansion of 1.0 in k
8.069 * [backup-simplify]: Simplify 1.0 into 1.0
8.069 * [taylor]: Taking taylor expansion of k in k
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
8.069 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
8.069 * [taylor]: Taking taylor expansion of 2.0 in k
8.069 * [backup-simplify]: Simplify 2.0 into 2.0
8.069 * [taylor]: Taking taylor expansion of (* n PI) in k
8.069 * [taylor]: Taking taylor expansion of n in k
8.069 * [backup-simplify]: Simplify n into n
8.069 * [taylor]: Taking taylor expansion of PI in k
8.070 * [backup-simplify]: Simplify PI into PI
8.070 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.070 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
8.070 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
8.070 * [backup-simplify]: Simplify (- 0) into 0
8.071 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.071 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
8.071 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
8.071 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
8.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
8.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
8.071 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
8.071 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
8.071 * [taylor]: Taking taylor expansion of 0.5 in n
8.072 * [backup-simplify]: Simplify 0.5 into 0.5
8.072 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
8.072 * [taylor]: Taking taylor expansion of 1.0 in n
8.072 * [backup-simplify]: Simplify 1.0 into 1.0
8.072 * [taylor]: Taking taylor expansion of k in n
8.072 * [backup-simplify]: Simplify k into k
8.072 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
8.072 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
8.072 * [taylor]: Taking taylor expansion of 2.0 in n
8.072 * [backup-simplify]: Simplify 2.0 into 2.0
8.072 * [taylor]: Taking taylor expansion of (* n PI) in n
8.072 * [taylor]: Taking taylor expansion of n in n
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.072 * [taylor]: Taking taylor expansion of PI in n
8.072 * [backup-simplify]: Simplify PI into PI
8.072 * [backup-simplify]: Simplify (* 0 PI) into 0
8.073 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.076 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
8.076 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.077 * [backup-simplify]: Simplify (- k) into (- k)
8.077 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
8.077 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
8.078 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.079 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
8.080 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
8.080 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
8.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
8.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
8.080 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
8.081 * [taylor]: Taking taylor expansion of 0.5 in n
8.081 * [backup-simplify]: Simplify 0.5 into 0.5
8.081 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
8.081 * [taylor]: Taking taylor expansion of 1.0 in n
8.081 * [backup-simplify]: Simplify 1.0 into 1.0
8.081 * [taylor]: Taking taylor expansion of k in n
8.081 * [backup-simplify]: Simplify k into k
8.081 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
8.081 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
8.081 * [taylor]: Taking taylor expansion of 2.0 in n
8.081 * [backup-simplify]: Simplify 2.0 into 2.0
8.081 * [taylor]: Taking taylor expansion of (* n PI) in n
8.081 * [taylor]: Taking taylor expansion of n in n
8.081 * [backup-simplify]: Simplify 0 into 0
8.081 * [backup-simplify]: Simplify 1 into 1
8.081 * [taylor]: Taking taylor expansion of PI in n
8.081 * [backup-simplify]: Simplify PI into PI
8.081 * [backup-simplify]: Simplify (* 0 PI) into 0
8.082 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.084 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
8.085 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.085 * [backup-simplify]: Simplify (- k) into (- k)
8.085 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
8.086 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
8.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.088 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
8.089 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
8.089 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
8.089 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
8.089 * [taylor]: Taking taylor expansion of 0.5 in k
8.089 * [backup-simplify]: Simplify 0.5 into 0.5
8.089 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
8.089 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
8.089 * [taylor]: Taking taylor expansion of 1.0 in k
8.089 * [backup-simplify]: Simplify 1.0 into 1.0
8.089 * [taylor]: Taking taylor expansion of k in k
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 1 into 1
8.089 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
8.089 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
8.089 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
8.089 * [taylor]: Taking taylor expansion of 2.0 in k
8.089 * [backup-simplify]: Simplify 2.0 into 2.0
8.089 * [taylor]: Taking taylor expansion of PI in k
8.090 * [backup-simplify]: Simplify PI into PI
8.090 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.091 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.091 * [taylor]: Taking taylor expansion of (log n) in k
8.091 * [taylor]: Taking taylor expansion of n in k
8.091 * [backup-simplify]: Simplify n into n
8.091 * [backup-simplify]: Simplify (log n) into (log n)
8.092 * [backup-simplify]: Simplify (- 0) into 0
8.092 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.093 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
8.094 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
8.095 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
8.096 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
8.097 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
8.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.100 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
8.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.102 * [backup-simplify]: Simplify (- 0) into 0
8.103 * [backup-simplify]: Simplify (+ 0 0) into 0
8.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
8.104 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.105 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
8.107 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.107 * [taylor]: Taking taylor expansion of 0 in k
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
8.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
8.111 * [backup-simplify]: Simplify (+ 0 0) into 0
8.112 * [backup-simplify]: Simplify (- 1) into -1
8.112 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.114 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
8.116 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
8.120 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
8.123 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
8.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
8.126 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
8.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.130 * [backup-simplify]: Simplify (- 0) into 0
8.131 * [backup-simplify]: Simplify (+ 0 0) into 0
8.132 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
8.134 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
8.136 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
8.138 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.138 * [taylor]: Taking taylor expansion of 0 in k
8.138 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
8.145 * [backup-simplify]: Simplify (+ 0 0) into 0
8.145 * [backup-simplify]: Simplify (- 0) into 0
8.145 * [backup-simplify]: Simplify (+ 0 0) into 0
8.147 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
8.150 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
8.154 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
8.161 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
8.171 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
8.172 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))
8.172 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
8.172 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
8.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
8.172 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
8.172 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
8.172 * [taylor]: Taking taylor expansion of 0.5 in k
8.172 * [backup-simplify]: Simplify 0.5 into 0.5
8.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
8.173 * [taylor]: Taking taylor expansion of 1.0 in k
8.173 * [backup-simplify]: Simplify 1.0 into 1.0
8.173 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.173 * [taylor]: Taking taylor expansion of k in k
8.173 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify 1 into 1
8.173 * [backup-simplify]: Simplify (/ 1 1) into 1
8.173 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
8.173 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
8.173 * [taylor]: Taking taylor expansion of 2.0 in k
8.173 * [backup-simplify]: Simplify 2.0 into 2.0
8.173 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.173 * [taylor]: Taking taylor expansion of PI in k
8.173 * [backup-simplify]: Simplify PI into PI
8.173 * [taylor]: Taking taylor expansion of n in k
8.173 * [backup-simplify]: Simplify n into n
8.173 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.173 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
8.173 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
8.174 * [backup-simplify]: Simplify (- 1) into -1
8.174 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.175 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
8.175 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
8.175 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
8.175 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
8.175 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
8.175 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
8.175 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
8.175 * [taylor]: Taking taylor expansion of 0.5 in n
8.175 * [backup-simplify]: Simplify 0.5 into 0.5
8.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
8.175 * [taylor]: Taking taylor expansion of 1.0 in n
8.175 * [backup-simplify]: Simplify 1.0 into 1.0
8.175 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.175 * [taylor]: Taking taylor expansion of k in n
8.175 * [backup-simplify]: Simplify k into k
8.175 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.175 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
8.175 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
8.175 * [taylor]: Taking taylor expansion of 2.0 in n
8.176 * [backup-simplify]: Simplify 2.0 into 2.0
8.176 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.176 * [taylor]: Taking taylor expansion of PI in n
8.176 * [backup-simplify]: Simplify PI into PI
8.176 * [taylor]: Taking taylor expansion of n in n
8.176 * [backup-simplify]: Simplify 0 into 0
8.176 * [backup-simplify]: Simplify 1 into 1
8.176 * [backup-simplify]: Simplify (/ PI 1) into PI
8.177 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.178 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.178 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.178 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
8.178 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
8.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.180 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
8.182 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.182 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
8.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
8.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
8.182 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
8.182 * [taylor]: Taking taylor expansion of 0.5 in n
8.182 * [backup-simplify]: Simplify 0.5 into 0.5
8.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
8.182 * [taylor]: Taking taylor expansion of 1.0 in n
8.182 * [backup-simplify]: Simplify 1.0 into 1.0
8.182 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.182 * [taylor]: Taking taylor expansion of k in n
8.182 * [backup-simplify]: Simplify k into k
8.182 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.182 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
8.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
8.182 * [taylor]: Taking taylor expansion of 2.0 in n
8.183 * [backup-simplify]: Simplify 2.0 into 2.0
8.183 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.183 * [taylor]: Taking taylor expansion of PI in n
8.183 * [backup-simplify]: Simplify PI into PI
8.183 * [taylor]: Taking taylor expansion of n in n
8.183 * [backup-simplify]: Simplify 0 into 0
8.183 * [backup-simplify]: Simplify 1 into 1
8.183 * [backup-simplify]: Simplify (/ PI 1) into PI
8.184 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.185 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.185 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.185 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
8.185 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
8.186 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.187 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
8.188 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k
8.189 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k
8.189 * [taylor]: Taking taylor expansion of 0.5 in k
8.189 * [backup-simplify]: Simplify 0.5 into 0.5
8.189 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k
8.189 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
8.189 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
8.189 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
8.189 * [taylor]: Taking taylor expansion of 2.0 in k
8.189 * [backup-simplify]: Simplify 2.0 into 2.0
8.189 * [taylor]: Taking taylor expansion of PI in k
8.189 * [backup-simplify]: Simplify PI into PI
8.189 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
8.190 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
8.190 * [taylor]: Taking taylor expansion of (log n) in k
8.190 * [taylor]: Taking taylor expansion of n in k
8.190 * [backup-simplify]: Simplify n into n
8.190 * [backup-simplify]: Simplify (log n) into (log n)
8.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
8.191 * [taylor]: Taking taylor expansion of 1.0 in k
8.191 * [backup-simplify]: Simplify 1.0 into 1.0
8.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.191 * [taylor]: Taking taylor expansion of k in k
8.191 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify 1 into 1
8.191 * [backup-simplify]: Simplify (/ 1 1) into 1
8.191 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.192 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
8.192 * [backup-simplify]: Simplify (- 1) into -1
8.193 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.194 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n)))
8.195 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
8.196 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.197 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
8.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
8.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
8.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.206 * [backup-simplify]: Simplify (- 0) into 0
8.206 * [backup-simplify]: Simplify (+ 0 0) into 0
8.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
8.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.209 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
8.211 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.211 * [taylor]: Taking taylor expansion of 0 in k
8.211 * [backup-simplify]: Simplify 0 into 0
8.211 * [backup-simplify]: Simplify 0 into 0
8.211 * [backup-simplify]: Simplify 0 into 0
8.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.213 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
8.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.217 * [backup-simplify]: Simplify (- 0) into 0
8.217 * [backup-simplify]: Simplify (+ 0 0) into 0
8.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
8.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.221 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
8.223 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.223 * [taylor]: Taking taylor expansion of 0 in k
8.223 * [backup-simplify]: Simplify 0 into 0
8.223 * [backup-simplify]: Simplify 0 into 0
8.223 * [backup-simplify]: Simplify 0 into 0
8.223 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.226 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.231 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
8.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.232 * [backup-simplify]: Simplify (- 0) into 0
8.232 * [backup-simplify]: Simplify (+ 0 0) into 0
8.233 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
8.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
8.236 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
8.239 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.239 * [taylor]: Taking taylor expansion of 0 in k
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 0 into 0
8.241 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
8.241 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))
8.242 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
8.242 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
8.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
8.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
8.242 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
8.242 * [taylor]: Taking taylor expansion of 0.5 in k
8.242 * [backup-simplify]: Simplify 0.5 into 0.5
8.242 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
8.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.242 * [taylor]: Taking taylor expansion of k in k
8.242 * [backup-simplify]: Simplify 0 into 0
8.242 * [backup-simplify]: Simplify 1 into 1
8.242 * [backup-simplify]: Simplify (/ 1 1) into 1
8.242 * [taylor]: Taking taylor expansion of 1.0 in k
8.242 * [backup-simplify]: Simplify 1.0 into 1.0
8.242 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
8.242 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
8.242 * [taylor]: Taking taylor expansion of -2.0 in k
8.242 * [backup-simplify]: Simplify -2.0 into -2.0
8.242 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.242 * [taylor]: Taking taylor expansion of PI in k
8.242 * [backup-simplify]: Simplify PI into PI
8.243 * [taylor]: Taking taylor expansion of n in k
8.243 * [backup-simplify]: Simplify n into n
8.243 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.243 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
8.243 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
8.243 * [backup-simplify]: Simplify (+ 1 0) into 1
8.244 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
8.244 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
8.244 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
8.244 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
8.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
8.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
8.244 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
8.244 * [taylor]: Taking taylor expansion of 0.5 in n
8.244 * [backup-simplify]: Simplify 0.5 into 0.5
8.244 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
8.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.244 * [taylor]: Taking taylor expansion of k in n
8.244 * [backup-simplify]: Simplify k into k
8.244 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.244 * [taylor]: Taking taylor expansion of 1.0 in n
8.244 * [backup-simplify]: Simplify 1.0 into 1.0
8.244 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
8.244 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
8.244 * [taylor]: Taking taylor expansion of -2.0 in n
8.244 * [backup-simplify]: Simplify -2.0 into -2.0
8.245 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.245 * [taylor]: Taking taylor expansion of PI in n
8.245 * [backup-simplify]: Simplify PI into PI
8.245 * [taylor]: Taking taylor expansion of n in n
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (/ PI 1) into PI
8.246 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.247 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
8.247 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
8.247 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
8.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.249 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
8.251 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.251 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
8.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
8.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
8.251 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
8.251 * [taylor]: Taking taylor expansion of 0.5 in n
8.251 * [backup-simplify]: Simplify 0.5 into 0.5
8.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
8.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.251 * [taylor]: Taking taylor expansion of k in n
8.251 * [backup-simplify]: Simplify k into k
8.251 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.251 * [taylor]: Taking taylor expansion of 1.0 in n
8.251 * [backup-simplify]: Simplify 1.0 into 1.0
8.251 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
8.251 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
8.251 * [taylor]: Taking taylor expansion of -2.0 in n
8.251 * [backup-simplify]: Simplify -2.0 into -2.0
8.251 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.251 * [taylor]: Taking taylor expansion of PI in n
8.251 * [backup-simplify]: Simplify PI into PI
8.251 * [taylor]: Taking taylor expansion of n in n
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify 1 into 1
8.252 * [backup-simplify]: Simplify (/ PI 1) into PI
8.252 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.253 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
8.253 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
8.253 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
8.255 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.256 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
8.257 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k
8.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k
8.257 * [taylor]: Taking taylor expansion of 0.5 in k
8.257 * [backup-simplify]: Simplify 0.5 into 0.5
8.257 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k
8.257 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
8.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.257 * [taylor]: Taking taylor expansion of k in k
8.257 * [backup-simplify]: Simplify 0 into 0
8.257 * [backup-simplify]: Simplify 1 into 1
8.258 * [backup-simplify]: Simplify (/ 1 1) into 1
8.258 * [taylor]: Taking taylor expansion of 1.0 in k
8.258 * [backup-simplify]: Simplify 1.0 into 1.0
8.258 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
8.258 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
8.258 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
8.258 * [taylor]: Taking taylor expansion of -2.0 in k
8.258 * [backup-simplify]: Simplify -2.0 into -2.0
8.258 * [taylor]: Taking taylor expansion of PI in k
8.258 * [backup-simplify]: Simplify PI into PI
8.259 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
8.260 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
8.260 * [taylor]: Taking taylor expansion of (log n) in k
8.260 * [taylor]: Taking taylor expansion of n in k
8.260 * [backup-simplify]: Simplify n into n
8.260 * [backup-simplify]: Simplify (log n) into (log n)
8.260 * [backup-simplify]: Simplify (+ 1 0) into 1
8.260 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.261 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
8.262 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n))
8.263 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
8.265 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.266 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
8.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.267 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
8.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
8.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.270 * [backup-simplify]: Simplify (+ 0 0) into 0
8.270 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
8.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.272 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
8.274 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.274 * [taylor]: Taking taylor expansion of 0 in k
8.274 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.276 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
8.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
8.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.280 * [backup-simplify]: Simplify (+ 0 0) into 0
8.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
8.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.283 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
8.286 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.286 * [taylor]: Taking taylor expansion of 0 in k
8.286 * [backup-simplify]: Simplify 0 into 0
8.286 * [backup-simplify]: Simplify 0 into 0
8.286 * [backup-simplify]: Simplify 0 into 0
8.286 * [backup-simplify]: Simplify 0 into 0
8.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.288 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.293 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
8.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.294 * [backup-simplify]: Simplify (+ 0 0) into 0
8.295 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
8.296 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
8.298 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
8.301 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.301 * [taylor]: Taking taylor expansion of 0 in k
8.301 * [backup-simplify]: Simplify 0 into 0
8.301 * [backup-simplify]: Simplify 0 into 0
8.302 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
8.302 * * * [progress]: simplifying candidates
8.305 * [simplify]: Simplifying:
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k)))
  (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))
  (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (sqrt k))
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))
  (/ 1.0 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ 1.0 (sqrt 1))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ 1.0 1)
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
  (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
  (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
8.310 * * [simplify]: Extracting # 0 : cost  0
8.311 * * [simplify]: Extracting # 1 : cost  0
8.311 * * [simplify]: Extracting # 2 : cost  0
8.311 * * [simplify]: Extracting # 3 : cost  0
8.312 * * [simplify]: Extracting # 4 : cost  0
8.312 * * [simplify]: Extracting # 5 : cost  0
8.313 * * [simplify]: Extracting # 6 : cost  0
8.313 * * [simplify]: Extracting # 7 : cost  0
8.314 * * [simplify]: Extracting # 8 : cost  0
8.314 * * [simplify]: Extracting # 9 : cost  0
8.315 * * [simplify]: Extracting # 10 : cost  0
8.316 * * [simplify]: Extracting # 11 : cost  0
8.316 * * [simplify]: Extracting # 12 : cost  0
8.317 * * [simplify]: Extracting # 13 : cost  0
8.317 * * [simplify]: Extracting # 14 : cost  0
8.318 * * [simplify]: Extracting # 15 : cost  0
8.318 * * [simplify]: Extracting # 16 : cost  0
8.319 * * [simplify]: Extracting # 17 : cost  0
8.319 * * [simplify]: Extracting # 18 : cost  0
8.320 * * [simplify]: Extracting # 19 : cost  0
8.320 * * [simplify]: Extracting # 20 : cost  0
8.321 * * [simplify]: Extracting # 21 : cost  0
8.322 * * [simplify]: Extracting # 22 : cost  0
8.322 * * [simplify]: Extracting # 23 : cost  0
8.323 * * [simplify]: Extracting # 24 : cost  0
8.323 * * [simplify]: Extracting # 25 : cost  0
8.324 * * [simplify]: Extracting # 26 : cost  0
8.324 * * [simplify]: Extracting # 27 : cost  0
8.325 * * [simplify]: iteration  0 :  264  enodes  (cost  1828 )
8.441 * * [simplify]: Extracting # 0 : cost  0
8.443 * * [simplify]: Extracting # 1 : cost  0
8.445 * * [simplify]: Extracting # 2 : cost  0
8.447 * * [simplify]: Extracting # 3 : cost  0
8.449 * * [simplify]: Extracting # 4 : cost  0
8.451 * * [simplify]: Extracting # 5 : cost  0
8.452 * * [simplify]: Extracting # 6 : cost  0
8.454 * * [simplify]: Extracting # 7 : cost  0
8.456 * * [simplify]: iteration  1 :  748  enodes  (cost  1703 )
8.997 * * [simplify]: Extracting # 0 : cost  0
9.003 * * [simplify]: Extracting # 1 : cost  0
9.013 * * [simplify]: Extracting # 2 : cost  0
9.021 * * [simplify]: Extracting # 3 : cost  0
9.029 * * [simplify]: Extracting # 4 : cost  0
9.037 * * [simplify]: Extracting # 5 : cost  0
9.045 * * [simplify]: Extracting # 6 : cost  0
9.058 * * [simplify]: Extracting # 7 : cost  0
9.066 * * [simplify]: iteration  2 :  3500  enodes  (cost  1535 )
10.660 * * [simplify]: Extracting # 0 : cost  0
10.673 * * [simplify]: Extracting # 1 : cost  0
10.684 * * [simplify]: Extracting # 2 : cost  0
10.696 * * [simplify]: iteration done:  5001  enodes  (cost  1531 )
10.697 * [simplify]: Simplified to:
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (log (* 2.0 (* n PI)))
  (log (* 2.0 (* n PI)))
  (log (* 2.0 (* n PI)))
  (exp (* (* 2.0 PI) n))
  (* (pow n 3) (* (pow PI 3) (pow 2.0 3)))
  (pow (* (* 2.0 PI) n) 3)
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (pow (* (* 2.0 PI) n) 3)
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* 2.0 PI)
  (* n PI)
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (/ (pow (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (sqrt k) k))
  (/ (pow (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (sqrt k) k))
  (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))
  (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3)
  (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))
  (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (sqrt k))
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))
  (/ 1.0 (fabs (cbrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  1.0
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  1.0
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k)))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* (* 2.0 PI) n)
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (- (* (pow (* 2.0 (* n PI)) 0.5) (* +nan.0 (pow k 2)))) (+ (- (* (* (* (pow k 2) (log n)) (pow (* 2.0 (* n PI)) 0.5)) +nan.0) (* (pow k 2) (* (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5)) +nan.0))) (- (* (* +nan.0 (* (pow (* 2.0 (* n PI)) 0.5) (log n))) k) (- (* (* (pow (* 2.0 (* n PI)) 0.5) (* +nan.0 (pow k 2))) (pow (log (* 2.0 PI)) 2)) (+ (- (* (pow (* 2.0 (* n PI)) 0.5) (* +nan.0 k)) (* (* (* +nan.0 (pow k 2)) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.5) (log n)))) (- (* (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5))) (* +nan.0 (- (* (* (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2)) k) k) (pow (* 2.0 (* n PI)) 0.5)))))))))
  (+ (* (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 3)) (- +nan.0)) (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) k))))
  (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))))
  (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2)))) (- (+ (* (* k (* k (* (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5)) (log n)))) 0.25) (pow (* 2.0 (* n PI)) 0.5)) (* (* k (+ (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5)) (* (pow (* 2.0 (* n PI)) 0.5) (log n)))) 0.5)))
  (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
10.698 * * * [progress]: adding candidates to table
11.264 * * [progress]: iteration 3 / 4
11.264 * * * [progress]: picking best candidate
11.326 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))>
11.326 * * * [progress]: localizing error
11.376 * * * [progress]: generating rewritten candidates
11.376 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
11.424 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2)
11.437 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
11.469 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
11.529 * * * [progress]: generating series expansions
11.529 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
11.530 * [backup-simplify]: Simplify (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) into (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))
11.530 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0
11.531 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k
11.531 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k
11.531 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k
11.531 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
11.531 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.531 * [taylor]: Taking taylor expansion of k in k
11.531 * [backup-simplify]: Simplify 0 into 0
11.531 * [backup-simplify]: Simplify 1 into 1
11.531 * [backup-simplify]: Simplify (sqrt 0) into 0
11.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.533 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
11.533 * [taylor]: Taking taylor expansion of 1.0 in k
11.533 * [backup-simplify]: Simplify 1.0 into 1.0
11.533 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.534 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
11.534 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
11.534 * [taylor]: Taking taylor expansion of 2.0 in k
11.534 * [backup-simplify]: Simplify 2.0 into 2.0
11.534 * [taylor]: Taking taylor expansion of (* n PI) in k
11.534 * [taylor]: Taking taylor expansion of n in k
11.534 * [backup-simplify]: Simplify n into n
11.534 * [taylor]: Taking taylor expansion of PI in k
11.534 * [backup-simplify]: Simplify PI into PI
11.534 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.534 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
11.534 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
11.535 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
11.535 * [backup-simplify]: Simplify (* (sqrt 1.0) (log (* 2.0 (* n PI)))) into (* (sqrt 1.0) (log (* 2.0 (* n PI))))
11.536 * [backup-simplify]: Simplify (exp (* (sqrt 1.0) (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) (sqrt 1.0))
11.536 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
11.536 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
11.536 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
11.536 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
11.536 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.536 * [taylor]: Taking taylor expansion of k in n
11.536 * [backup-simplify]: Simplify k into k
11.536 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.536 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
11.536 * [taylor]: Taking taylor expansion of 1.0 in n
11.536 * [backup-simplify]: Simplify 1.0 into 1.0
11.536 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
11.537 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
11.537 * [taylor]: Taking taylor expansion of 2.0 in n
11.537 * [backup-simplify]: Simplify 2.0 into 2.0
11.537 * [taylor]: Taking taylor expansion of (* n PI) in n
11.537 * [taylor]: Taking taylor expansion of n in n
11.537 * [backup-simplify]: Simplify 0 into 0
11.537 * [backup-simplify]: Simplify 1 into 1
11.537 * [taylor]: Taking taylor expansion of PI in n
11.537 * [backup-simplify]: Simplify PI into PI
11.538 * [backup-simplify]: Simplify (* 0 PI) into 0
11.538 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.541 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
11.542 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
11.543 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
11.544 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
11.545 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
11.547 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
11.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
11.547 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
11.547 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
11.547 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
11.547 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.547 * [taylor]: Taking taylor expansion of k in n
11.547 * [backup-simplify]: Simplify k into k
11.547 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.548 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
11.548 * [taylor]: Taking taylor expansion of 1.0 in n
11.548 * [backup-simplify]: Simplify 1.0 into 1.0
11.548 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
11.549 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
11.549 * [taylor]: Taking taylor expansion of 2.0 in n
11.549 * [backup-simplify]: Simplify 2.0 into 2.0
11.549 * [taylor]: Taking taylor expansion of (* n PI) in n
11.549 * [taylor]: Taking taylor expansion of n in n
11.549 * [backup-simplify]: Simplify 0 into 0
11.549 * [backup-simplify]: Simplify 1 into 1
11.549 * [taylor]: Taking taylor expansion of PI in n
11.549 * [backup-simplify]: Simplify PI into PI
11.549 * [backup-simplify]: Simplify (* 0 PI) into 0
11.550 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.551 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.552 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
11.553 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
11.554 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
11.555 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
11.557 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
11.558 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
11.558 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k
11.558 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k
11.558 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
11.558 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
11.558 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
11.558 * [taylor]: Taking taylor expansion of 2.0 in k
11.558 * [backup-simplify]: Simplify 2.0 into 2.0
11.558 * [taylor]: Taking taylor expansion of PI in k
11.558 * [backup-simplify]: Simplify PI into PI
11.559 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
11.560 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
11.560 * [taylor]: Taking taylor expansion of (log n) in k
11.560 * [taylor]: Taking taylor expansion of n in k
11.560 * [backup-simplify]: Simplify n into n
11.560 * [backup-simplify]: Simplify (log n) into (log n)
11.560 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
11.560 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.560 * [taylor]: Taking taylor expansion of k in k
11.560 * [backup-simplify]: Simplify 0 into 0
11.560 * [backup-simplify]: Simplify 1 into 1
11.560 * [backup-simplify]: Simplify (sqrt 0) into 0
11.562 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.562 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
11.562 * [taylor]: Taking taylor expansion of 1.0 in k
11.562 * [backup-simplify]: Simplify 1.0 into 1.0
11.562 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.564 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
11.564 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
11.566 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)) into (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))
11.567 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))
11.569 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))
11.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.571 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
11.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
11.573 * [backup-simplify]: Simplify (+ 0 0) into 0
11.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
11.576 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
11.578 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.578 * [taylor]: Taking taylor expansion of 0 in k
11.578 * [backup-simplify]: Simplify 0 into 0
11.578 * [backup-simplify]: Simplify 0 into 0
11.579 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
11.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
11.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
11.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.583 * [backup-simplify]: Simplify (+ 0 0) into 0
11.585 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- +nan.0)) (* 0 (sqrt 1.0))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))))
11.588 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))
11.591 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))
11.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.594 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
11.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
11.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
11.599 * [backup-simplify]: Simplify (+ 0 0) into 0
11.601 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
11.602 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
11.605 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.605 * [taylor]: Taking taylor expansion of 0 in k
11.605 * [backup-simplify]: Simplify 0 into 0
11.605 * [backup-simplify]: Simplify 0 into 0
11.605 * [backup-simplify]: Simplify 0 into 0
11.608 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
11.610 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
11.610 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
11.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
11.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.616 * [backup-simplify]: Simplify (+ 0 0) into 0
11.626 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 (sqrt 1.0)))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))))
11.631 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))
11.642 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (* (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))
11.658 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n)))))))))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))) (* k 1)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))))) into (- (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n)))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (- (* +nan.0 (* k (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n)))))))))))))))))
11.659 * [backup-simplify]: Simplify (pow (* 2.0 (* (/ 1 n) PI)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) into (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
11.659 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0
11.659 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
11.659 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
11.659 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
11.659 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
11.659 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
11.659 * [taylor]: Taking taylor expansion of 1.0 in k
11.659 * [backup-simplify]: Simplify 1.0 into 1.0
11.659 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.660 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.660 * [taylor]: Taking taylor expansion of k in k
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify 1 into 1
11.661 * [backup-simplify]: Simplify (/ 1 1) into 1
11.661 * [backup-simplify]: Simplify (sqrt 0) into 0
11.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.662 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
11.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
11.662 * [taylor]: Taking taylor expansion of 2.0 in k
11.662 * [backup-simplify]: Simplify 2.0 into 2.0
11.662 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.662 * [taylor]: Taking taylor expansion of PI in k
11.662 * [backup-simplify]: Simplify PI into PI
11.662 * [taylor]: Taking taylor expansion of n in k
11.662 * [backup-simplify]: Simplify n into n
11.663 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.663 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
11.663 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
11.663 * [backup-simplify]: Simplify (+ 0 0) into 0
11.663 * [backup-simplify]: Simplify (* 0 (log (* 2.0 (/ PI n)))) into 0
11.663 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
11.664 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ PI n))) into 0
11.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 1) into 0
11.666 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
11.667 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* 2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
11.668 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))
11.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
11.668 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
11.668 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
11.668 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
11.668 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
11.668 * [taylor]: Taking taylor expansion of 1.0 in n
11.668 * [backup-simplify]: Simplify 1.0 into 1.0
11.668 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.669 * [taylor]: Taking taylor expansion of k in n
11.669 * [backup-simplify]: Simplify k into k
11.669 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.669 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
11.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
11.670 * [taylor]: Taking taylor expansion of 2.0 in n
11.670 * [backup-simplify]: Simplify 2.0 into 2.0
11.670 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.670 * [taylor]: Taking taylor expansion of PI in n
11.670 * [backup-simplify]: Simplify PI into PI
11.670 * [taylor]: Taking taylor expansion of n in n
11.670 * [backup-simplify]: Simplify 0 into 0
11.670 * [backup-simplify]: Simplify 1 into 1
11.670 * [backup-simplify]: Simplify (/ PI 1) into PI
11.671 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
11.672 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
11.672 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
11.673 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
11.675 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
11.676 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
11.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
11.676 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
11.676 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
11.676 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
11.676 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
11.676 * [taylor]: Taking taylor expansion of 1.0 in n
11.676 * [backup-simplify]: Simplify 1.0 into 1.0
11.677 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.677 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.677 * [taylor]: Taking taylor expansion of k in n
11.678 * [backup-simplify]: Simplify k into k
11.678 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.678 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.678 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
11.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
11.678 * [taylor]: Taking taylor expansion of 2.0 in n
11.678 * [backup-simplify]: Simplify 2.0 into 2.0
11.678 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.678 * [taylor]: Taking taylor expansion of PI in n
11.678 * [backup-simplify]: Simplify PI into PI
11.678 * [taylor]: Taking taylor expansion of n in n
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 1 into 1
11.679 * [backup-simplify]: Simplify (/ PI 1) into PI
11.679 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
11.680 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
11.680 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
11.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
11.683 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
11.685 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
11.685 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
11.685 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
11.685 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
11.685 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
11.685 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
11.685 * [taylor]: Taking taylor expansion of 2.0 in k
11.685 * [backup-simplify]: Simplify 2.0 into 2.0
11.685 * [taylor]: Taking taylor expansion of PI in k
11.685 * [backup-simplify]: Simplify PI into PI
11.685 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
11.686 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
11.686 * [taylor]: Taking taylor expansion of (log n) in k
11.686 * [taylor]: Taking taylor expansion of n in k
11.686 * [backup-simplify]: Simplify n into n
11.687 * [backup-simplify]: Simplify (log n) into (log n)
11.687 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
11.687 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
11.687 * [taylor]: Taking taylor expansion of 1.0 in k
11.687 * [backup-simplify]: Simplify 1.0 into 1.0
11.687 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.688 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.688 * [taylor]: Taking taylor expansion of k in k
11.688 * [backup-simplify]: Simplify 0 into 0
11.688 * [backup-simplify]: Simplify 1 into 1
11.688 * [backup-simplify]: Simplify (/ 1 1) into 1
11.688 * [backup-simplify]: Simplify (sqrt 0) into 0
11.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.690 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.691 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
11.691 * [backup-simplify]: Simplify (+ 0 0) into 0
11.692 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) 0) into 0
11.693 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
11.694 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
11.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
11.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.696 * [backup-simplify]: Simplify (- 0) into 0
11.697 * [backup-simplify]: Simplify (+ 0 0) into 0
11.699 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))
11.703 * [backup-simplify]: Simplify (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))))
11.707 * [backup-simplify]: Simplify (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))))
11.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.709 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
11.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
11.711 * [backup-simplify]: Simplify (+ 0 0) into 0
11.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
11.714 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
11.716 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.716 * [taylor]: Taking taylor expansion of 0 in k
11.716 * [backup-simplify]: Simplify 0 into 0
11.716 * [backup-simplify]: Simplify 0 into 0
11.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.719 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.719 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
11.721 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
11.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
11.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.726 * [backup-simplify]: Simplify (- 0) into 0
11.727 * [backup-simplify]: Simplify (+ 0 0) into 0
11.729 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))))
11.735 * [backup-simplify]: Simplify (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n))))))))
11.741 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))))) into (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))))
11.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.743 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
11.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
11.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
11.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
11.749 * [backup-simplify]: Simplify (+ 0 0) into 0
11.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
11.752 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
11.755 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.755 * [taylor]: Taking taylor expansion of 0 in k
11.755 * [backup-simplify]: Simplify 0 into 0
11.755 * [backup-simplify]: Simplify 0 into 0
11.755 * [backup-simplify]: Simplify 0 into 0
11.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
11.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.762 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
11.763 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.776 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
11.779 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
11.779 * [backup-simplify]: Simplify (- 0) into 0
11.779 * [backup-simplify]: Simplify (+ 0 0) into 0
11.782 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n)))))
11.791 * [backup-simplify]: Simplify (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n)))))))))))))
11.801 * [backup-simplify]: Simplify (* -1 (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (* (log (* 2.0 PI)) (log n))))))))))))) into (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log n)))))))))))
11.823 * [backup-simplify]: Simplify (+ (* (* (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (log (/ 1 n)))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (log (/ 1 n)))))))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (log (/ 1 n))))) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n)))))))) (* (/ 1 k) 1)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (* 2.0 PI))) (- (* (sqrt 1.0) (log (/ 1 n))) (* +nan.0 (log (/ 1 n))))))))) into (- (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))) (+ (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (- (+ (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (- (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))))))))))))))))
11.823 * [backup-simplify]: Simplify (pow (* 2.0 (* (/ 1 (- n)) PI)) (+ (sqrt 1.0) (sqrt (/ 1 (- k))))) into (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))
11.824 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0
11.824 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k
11.824 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k
11.824 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k
11.824 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
11.824 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.824 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.824 * [taylor]: Taking taylor expansion of -1 in k
11.824 * [backup-simplify]: Simplify -1 into -1
11.824 * [taylor]: Taking taylor expansion of k in k
11.824 * [backup-simplify]: Simplify 0 into 0
11.824 * [backup-simplify]: Simplify 1 into 1
11.824 * [backup-simplify]: Simplify (/ -1 1) into -1
11.825 * [backup-simplify]: Simplify (sqrt 0) into 0
11.826 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.826 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
11.826 * [taylor]: Taking taylor expansion of 1.0 in k
11.826 * [backup-simplify]: Simplify 1.0 into 1.0
11.826 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.827 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
11.827 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
11.827 * [taylor]: Taking taylor expansion of -2.0 in k
11.827 * [backup-simplify]: Simplify -2.0 into -2.0
11.827 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.827 * [taylor]: Taking taylor expansion of PI in k
11.827 * [backup-simplify]: Simplify PI into PI
11.827 * [taylor]: Taking taylor expansion of n in k
11.827 * [backup-simplify]: Simplify n into n
11.827 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.827 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
11.828 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
11.828 * [backup-simplify]: Simplify (+ 0 0) into 0
11.828 * [backup-simplify]: Simplify (* 0 (log (* -2.0 (/ PI n)))) into 0
11.828 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
11.829 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (/ PI n))) into 0
11.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 1) into 0
11.830 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
11.832 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* -2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
11.832 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))
11.832 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
11.833 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
11.833 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
11.833 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
11.833 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.833 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.833 * [taylor]: Taking taylor expansion of -1 in n
11.833 * [backup-simplify]: Simplify -1 into -1
11.833 * [taylor]: Taking taylor expansion of k in n
11.833 * [backup-simplify]: Simplify k into k
11.833 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.833 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.833 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.833 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
11.833 * [taylor]: Taking taylor expansion of 1.0 in n
11.833 * [backup-simplify]: Simplify 1.0 into 1.0
11.834 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.834 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
11.834 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
11.834 * [taylor]: Taking taylor expansion of -2.0 in n
11.834 * [backup-simplify]: Simplify -2.0 into -2.0
11.834 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.834 * [taylor]: Taking taylor expansion of PI in n
11.834 * [backup-simplify]: Simplify PI into PI
11.834 * [taylor]: Taking taylor expansion of n in n
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 1 into 1
11.835 * [backup-simplify]: Simplify (/ PI 1) into PI
11.835 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
11.836 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
11.837 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
11.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
11.839 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
11.841 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
11.841 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
11.841 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
11.841 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
11.841 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
11.841 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.841 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.841 * [taylor]: Taking taylor expansion of -1 in n
11.841 * [backup-simplify]: Simplify -1 into -1
11.841 * [taylor]: Taking taylor expansion of k in n
11.841 * [backup-simplify]: Simplify k into k
11.841 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.841 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.841 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.841 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
11.841 * [taylor]: Taking taylor expansion of 1.0 in n
11.841 * [backup-simplify]: Simplify 1.0 into 1.0
11.842 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.843 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
11.843 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
11.843 * [taylor]: Taking taylor expansion of -2.0 in n
11.843 * [backup-simplify]: Simplify -2.0 into -2.0
11.843 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.843 * [taylor]: Taking taylor expansion of PI in n
11.843 * [backup-simplify]: Simplify PI into PI
11.843 * [taylor]: Taking taylor expansion of n in n
11.843 * [backup-simplify]: Simplify 0 into 0
11.843 * [backup-simplify]: Simplify 1 into 1
11.843 * [backup-simplify]: Simplify (/ PI 1) into PI
11.844 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
11.845 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
11.845 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
11.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
11.848 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
11.849 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
11.850 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k
11.850 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k
11.850 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
11.850 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.850 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.850 * [taylor]: Taking taylor expansion of -1 in k
11.850 * [backup-simplify]: Simplify -1 into -1
11.850 * [taylor]: Taking taylor expansion of k in k
11.850 * [backup-simplify]: Simplify 0 into 0
11.850 * [backup-simplify]: Simplify 1 into 1
11.850 * [backup-simplify]: Simplify (/ -1 1) into -1
11.851 * [backup-simplify]: Simplify (sqrt 0) into 0
11.852 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.852 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
11.852 * [taylor]: Taking taylor expansion of 1.0 in k
11.852 * [backup-simplify]: Simplify 1.0 into 1.0
11.852 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
11.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
11.853 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
11.853 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
11.853 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
11.853 * [taylor]: Taking taylor expansion of -2.0 in k
11.853 * [backup-simplify]: Simplify -2.0 into -2.0
11.853 * [taylor]: Taking taylor expansion of PI in k
11.853 * [backup-simplify]: Simplify PI into PI
11.854 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
11.855 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
11.855 * [taylor]: Taking taylor expansion of (log n) in k
11.855 * [taylor]: Taking taylor expansion of n in k
11.855 * [backup-simplify]: Simplify n into n
11.855 * [backup-simplify]: Simplify (log n) into (log n)
11.856 * [backup-simplify]: Simplify (+ 0 0) into 0
11.856 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.857 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
11.858 * [backup-simplify]: Simplify (* 0 (- (log (* -2.0 PI)) (log n))) into 0
11.858 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
11.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
11.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.861 * [backup-simplify]: Simplify (- 0) into 0
11.861 * [backup-simplify]: Simplify (+ 0 0) into 0
11.862 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
11.864 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (- (log (* -2.0 PI)) (log n)))) into (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))
11.868 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))
11.873 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))
11.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.875 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
11.877 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
11.877 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
11.880 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
11.882 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.882 * [taylor]: Taking taylor expansion of 0 in k
11.882 * [backup-simplify]: Simplify 0 into 0
11.882 * [backup-simplify]: Simplify 0 into 0
11.883 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
11.886 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
11.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.889 * [backup-simplify]: Simplify (- 0) into 0
11.889 * [backup-simplify]: Simplify (+ 0 0) into 0
11.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.892 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.893 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
11.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (- (log (* -2.0 PI)) (log n))))) into (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n)))))
11.902 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))))
11.916 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))) into (* (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
11.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.919 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
11.922 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
11.922 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
11.924 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
11.925 * [backup-simplify]: Simplify (+ 0 0) into 0
11.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
11.928 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
11.931 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.931 * [taylor]: Taking taylor expansion of 0 in k
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 0 into 0
11.932 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.938 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
11.941 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
11.942 * [backup-simplify]: Simplify (- 0) into 0
11.942 * [backup-simplify]: Simplify (+ 0 0) into 0
11.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
11.950 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
11.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log (* -2.0 PI)) (log n)))))) into (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n)))))
11.965 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* +nan.0 (log (* -2.0 PI))) (- (* (sqrt 1.0) (log n)) (* +nan.0 (log n)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log n))))) 1) 1)))) into (* -1 (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (* +nan.0 (log (* -2.0 PI)))))))))))))
11.977 * [backup-simplify]: Simplify (* -1 (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (* +nan.0 (log (* -2.0 PI))))))))))))) into (* (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
12.003 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI)))))))))) (* (/ 1 (- k)) 1)) (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ 1 (- n)))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))))) into (- (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))))))))))))))))
12.003 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2)
12.004 * [backup-simplify]: Simplify (* n PI) into (* n PI)
12.004 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0
12.004 * [taylor]: Taking taylor expansion of (* n PI) in n
12.004 * [taylor]: Taking taylor expansion of n in n
12.004 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify 1 into 1
12.004 * [taylor]: Taking taylor expansion of PI in n
12.004 * [backup-simplify]: Simplify PI into PI
12.004 * [taylor]: Taking taylor expansion of (* n PI) in n
12.004 * [taylor]: Taking taylor expansion of n in n
12.004 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify 1 into 1
12.004 * [taylor]: Taking taylor expansion of PI in n
12.004 * [backup-simplify]: Simplify PI into PI
12.004 * [backup-simplify]: Simplify (* 0 PI) into 0
12.005 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.006 * [backup-simplify]: Simplify PI into PI
12.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.007 * [backup-simplify]: Simplify 0 into 0
12.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
12.008 * [backup-simplify]: Simplify 0 into 0
12.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.009 * [backup-simplify]: Simplify 0 into 0
12.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.011 * [backup-simplify]: Simplify 0 into 0
12.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.013 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
12.015 * [backup-simplify]: Simplify 0 into 0
12.015 * [backup-simplify]: Simplify (* PI n) into (* n PI)
12.015 * [backup-simplify]: Simplify (* (/ 1 n) PI) into (/ PI n)
12.015 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0
12.015 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.015 * [taylor]: Taking taylor expansion of PI in n
12.015 * [backup-simplify]: Simplify PI into PI
12.015 * [taylor]: Taking taylor expansion of n in n
12.015 * [backup-simplify]: Simplify 0 into 0
12.015 * [backup-simplify]: Simplify 1 into 1
12.015 * [backup-simplify]: Simplify (/ PI 1) into PI
12.015 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.016 * [taylor]: Taking taylor expansion of PI in n
12.016 * [backup-simplify]: Simplify PI into PI
12.016 * [taylor]: Taking taylor expansion of n in n
12.016 * [backup-simplify]: Simplify 0 into 0
12.016 * [backup-simplify]: Simplify 1 into 1
12.016 * [backup-simplify]: Simplify (/ PI 1) into PI
12.016 * [backup-simplify]: Simplify PI into PI
12.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.017 * [backup-simplify]: Simplify 0 into 0
12.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.018 * [backup-simplify]: Simplify 0 into 0
12.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.019 * [backup-simplify]: Simplify 0 into 0
12.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.020 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.022 * [backup-simplify]: Simplify 0 into 0
12.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.022 * [backup-simplify]: Simplify 0 into 0
12.023 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI)
12.023 * [backup-simplify]: Simplify (* (/ 1 (- n)) PI) into (* -1 (/ PI n))
12.023 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0
12.023 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n
12.023 * [taylor]: Taking taylor expansion of -1 in n
12.023 * [backup-simplify]: Simplify -1 into -1
12.023 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.023 * [taylor]: Taking taylor expansion of PI in n
12.023 * [backup-simplify]: Simplify PI into PI
12.023 * [taylor]: Taking taylor expansion of n in n
12.023 * [backup-simplify]: Simplify 0 into 0
12.023 * [backup-simplify]: Simplify 1 into 1
12.023 * [backup-simplify]: Simplify (/ PI 1) into PI
12.023 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n
12.023 * [taylor]: Taking taylor expansion of -1 in n
12.023 * [backup-simplify]: Simplify -1 into -1
12.023 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.023 * [taylor]: Taking taylor expansion of PI in n
12.023 * [backup-simplify]: Simplify PI into PI
12.023 * [taylor]: Taking taylor expansion of n in n
12.023 * [backup-simplify]: Simplify 0 into 0
12.023 * [backup-simplify]: Simplify 1 into 1
12.024 * [backup-simplify]: Simplify (/ PI 1) into PI
12.024 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI)
12.024 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI)
12.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.025 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0
12.025 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.027 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.029 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.029 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.032 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.032 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.037 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
12.037 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI)
12.038 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
12.039 * [backup-simplify]: Simplify (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) into (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k))))
12.039 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0
12.039 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k
12.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k
12.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k
12.039 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k
12.039 * [taylor]: Taking taylor expansion of 0.5 in k
12.039 * [backup-simplify]: Simplify 0.5 into 0.5
12.039 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k
12.039 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.039 * [taylor]: Taking taylor expansion of 1.0 in k
12.039 * [backup-simplify]: Simplify 1.0 into 1.0
12.040 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.040 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.040 * [taylor]: Taking taylor expansion of k in k
12.040 * [backup-simplify]: Simplify 0 into 0
12.040 * [backup-simplify]: Simplify 1 into 1
12.041 * [backup-simplify]: Simplify (sqrt 0) into 0
12.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.042 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k
12.042 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k
12.042 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k
12.042 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k
12.042 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
12.042 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.042 * [taylor]: Taking taylor expansion of k in k
12.042 * [backup-simplify]: Simplify 0 into 0
12.042 * [backup-simplify]: Simplify 1 into 1
12.043 * [backup-simplify]: Simplify (sqrt 0) into 0
12.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.044 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.044 * [taylor]: Taking taylor expansion of 1.0 in k
12.044 * [backup-simplify]: Simplify 1.0 into 1.0
12.044 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.045 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
12.045 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
12.045 * [taylor]: Taking taylor expansion of 2.0 in k
12.045 * [backup-simplify]: Simplify 2.0 into 2.0
12.045 * [taylor]: Taking taylor expansion of (* n PI) in k
12.045 * [taylor]: Taking taylor expansion of n in k
12.045 * [backup-simplify]: Simplify n into n
12.045 * [taylor]: Taking taylor expansion of PI in k
12.045 * [backup-simplify]: Simplify PI into PI
12.045 * [backup-simplify]: Simplify (* n PI) into (* n PI)
12.046 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
12.046 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
12.047 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
12.047 * [backup-simplify]: Simplify (* (sqrt 1.0) (log (* 2.0 (* n PI)))) into (* (sqrt 1.0) (log (* 2.0 (* n PI))))
12.047 * [backup-simplify]: Simplify (exp (* (sqrt 1.0) (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) (sqrt 1.0))
12.048 * [backup-simplify]: Simplify (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) into (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))
12.048 * [backup-simplify]: Simplify (- 0) into 0
12.049 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
12.050 * [backup-simplify]: Simplify (* 0.5 (sqrt 1.0)) into (* 0.5 (sqrt 1.0))
12.051 * [backup-simplify]: Simplify (* (* 0.5 (sqrt 1.0)) (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))) into (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))
12.052 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))) into (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0))))
12.052 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n
12.052 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n
12.052 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n
12.052 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n
12.052 * [taylor]: Taking taylor expansion of 0.5 in n
12.052 * [backup-simplify]: Simplify 0.5 into 0.5
12.052 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n
12.052 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.052 * [taylor]: Taking taylor expansion of 1.0 in n
12.052 * [backup-simplify]: Simplify 1.0 into 1.0
12.053 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.053 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.053 * [taylor]: Taking taylor expansion of k in n
12.054 * [backup-simplify]: Simplify k into k
12.054 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.054 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n
12.054 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
12.054 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
12.054 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
12.054 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
12.054 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.054 * [taylor]: Taking taylor expansion of k in n
12.054 * [backup-simplify]: Simplify k into k
12.054 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.054 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.054 * [taylor]: Taking taylor expansion of 1.0 in n
12.054 * [backup-simplify]: Simplify 1.0 into 1.0
12.054 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.055 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
12.055 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
12.055 * [taylor]: Taking taylor expansion of 2.0 in n
12.055 * [backup-simplify]: Simplify 2.0 into 2.0
12.055 * [taylor]: Taking taylor expansion of (* n PI) in n
12.055 * [taylor]: Taking taylor expansion of n in n
12.055 * [backup-simplify]: Simplify 0 into 0
12.055 * [backup-simplify]: Simplify 1 into 1
12.055 * [taylor]: Taking taylor expansion of PI in n
12.055 * [backup-simplify]: Simplify PI into PI
12.056 * [backup-simplify]: Simplify (* 0 PI) into 0
12.056 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.067 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
12.068 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.068 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
12.069 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
12.071 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
12.072 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
12.074 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
12.074 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k))
12.074 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k))
12.075 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k)))
12.077 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))
12.079 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))
12.079 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n
12.079 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n
12.079 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n
12.079 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n
12.079 * [taylor]: Taking taylor expansion of 0.5 in n
12.079 * [backup-simplify]: Simplify 0.5 into 0.5
12.079 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n
12.079 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.079 * [taylor]: Taking taylor expansion of 1.0 in n
12.079 * [backup-simplify]: Simplify 1.0 into 1.0
12.079 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.080 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.080 * [taylor]: Taking taylor expansion of k in n
12.080 * [backup-simplify]: Simplify k into k
12.080 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.080 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n
12.080 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
12.080 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
12.080 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
12.080 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
12.080 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.080 * [taylor]: Taking taylor expansion of k in n
12.080 * [backup-simplify]: Simplify k into k
12.081 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.081 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.081 * [taylor]: Taking taylor expansion of 1.0 in n
12.081 * [backup-simplify]: Simplify 1.0 into 1.0
12.081 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.082 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
12.082 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
12.082 * [taylor]: Taking taylor expansion of 2.0 in n
12.082 * [backup-simplify]: Simplify 2.0 into 2.0
12.082 * [taylor]: Taking taylor expansion of (* n PI) in n
12.082 * [taylor]: Taking taylor expansion of n in n
12.082 * [backup-simplify]: Simplify 0 into 0
12.082 * [backup-simplify]: Simplify 1 into 1
12.082 * [taylor]: Taking taylor expansion of PI in n
12.082 * [backup-simplify]: Simplify PI into PI
12.082 * [backup-simplify]: Simplify (* 0 PI) into 0
12.083 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.086 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
12.087 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.087 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
12.088 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
12.090 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
12.091 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
12.093 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
12.093 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k))
12.093 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k))
12.094 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k)))
12.095 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))
12.097 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))
12.097 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k
12.097 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k
12.097 * [taylor]: Taking taylor expansion of 0.5 in k
12.097 * [backup-simplify]: Simplify 0.5 into 0.5
12.097 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k
12.097 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
12.097 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
12.097 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
12.098 * [taylor]: Taking taylor expansion of 2.0 in k
12.098 * [backup-simplify]: Simplify 2.0 into 2.0
12.098 * [taylor]: Taking taylor expansion of PI in k
12.098 * [backup-simplify]: Simplify PI into PI
12.098 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
12.099 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.099 * [taylor]: Taking taylor expansion of (log n) in k
12.099 * [taylor]: Taking taylor expansion of n in k
12.099 * [backup-simplify]: Simplify n into n
12.099 * [backup-simplify]: Simplify (log n) into (log n)
12.099 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k
12.099 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
12.099 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.099 * [taylor]: Taking taylor expansion of k in k
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [backup-simplify]: Simplify 1 into 1
12.100 * [backup-simplify]: Simplify (sqrt 0) into 0
12.101 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.101 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.101 * [taylor]: Taking taylor expansion of 1.0 in k
12.101 * [backup-simplify]: Simplify 1.0 into 1.0
12.102 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.102 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k
12.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.102 * [taylor]: Taking taylor expansion of 1.0 in k
12.102 * [backup-simplify]: Simplify 1.0 into 1.0
12.103 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.103 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.103 * [taylor]: Taking taylor expansion of k in k
12.103 * [backup-simplify]: Simplify 0 into 0
12.103 * [backup-simplify]: Simplify 1 into 1
12.104 * [backup-simplify]: Simplify (sqrt 0) into 0
12.105 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.106 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
12.107 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
12.107 * [backup-simplify]: Simplify (- 0) into 0
12.108 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
12.109 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2)
12.111 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))
12.113 * [backup-simplify]: Simplify (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))
12.115 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))
12.117 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))
12.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.119 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
12.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
12.121 * [backup-simplify]: Simplify (+ 0 0) into 0
12.123 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
12.124 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
12.126 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 1) into 0
12.129 * [backup-simplify]: Simplify (- 0) into 0
12.129 * [backup-simplify]: Simplify (+ 0 0) into 0
12.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt k)))) into 0
12.132 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into 0
12.134 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.134 * [taylor]: Taking taylor expansion of 0 in k
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.136 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
12.136 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.139 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0)))
12.140 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
12.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
12.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
12.143 * [backup-simplify]: Simplify (+ 0 0) into 0
12.146 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))
12.152 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))
12.158 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
12.163 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))
12.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
12.166 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
12.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
12.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
12.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.171 * [backup-simplify]: Simplify (+ 0 0) into 0
12.172 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
12.174 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
12.177 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 2) into 0
12.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
12.184 * [backup-simplify]: Simplify (- 0) into 0
12.185 * [backup-simplify]: Simplify (+ 0 0) into 0
12.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt k))))) into 0
12.188 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))))) into 0
12.191 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.191 * [taylor]: Taking taylor expansion of 0 in k
12.191 * [backup-simplify]: Simplify 0 into 0
12.191 * [backup-simplify]: Simplify 0 into 0
12.191 * [backup-simplify]: Simplify 0 into 0
12.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.195 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.196 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.196 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
12.207 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.208 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.209 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.214 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
12.215 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
12.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
12.221 * [backup-simplify]: Simplify (+ 0 0) into 0
12.225 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
12.236 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
12.248 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
12.264 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))))
12.290 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (* k 1)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (* k (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))))))))))))))))
12.291 * [backup-simplify]: Simplify (pow (pow (* 2.0 (* (/ 1 n) PI)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (/ (- (sqrt 1.0) (sqrt (/ 1 k))) 2.0)) into (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))
12.291 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0
12.291 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k
12.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k
12.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k
12.291 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k
12.291 * [taylor]: Taking taylor expansion of 0.5 in k
12.291 * [backup-simplify]: Simplify 0.5 into 0.5
12.291 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k
12.291 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.291 * [taylor]: Taking taylor expansion of 1.0 in k
12.291 * [backup-simplify]: Simplify 1.0 into 1.0
12.292 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.293 * [taylor]: Taking taylor expansion of k in k
12.293 * [backup-simplify]: Simplify 0 into 0
12.293 * [backup-simplify]: Simplify 1 into 1
12.293 * [backup-simplify]: Simplify (/ 1 1) into 1
12.293 * [backup-simplify]: Simplify (sqrt 0) into 0
12.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.295 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
12.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
12.295 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
12.295 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
12.295 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
12.295 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.295 * [taylor]: Taking taylor expansion of 1.0 in k
12.295 * [backup-simplify]: Simplify 1.0 into 1.0
12.296 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.296 * [taylor]: Taking taylor expansion of k in k
12.297 * [backup-simplify]: Simplify 0 into 0
12.297 * [backup-simplify]: Simplify 1 into 1
12.297 * [backup-simplify]: Simplify (/ 1 1) into 1
12.297 * [backup-simplify]: Simplify (sqrt 0) into 0
12.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
12.298 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
12.298 * [taylor]: Taking taylor expansion of 2.0 in k
12.298 * [backup-simplify]: Simplify 2.0 into 2.0
12.299 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.299 * [taylor]: Taking taylor expansion of PI in k
12.299 * [backup-simplify]: Simplify PI into PI
12.299 * [taylor]: Taking taylor expansion of n in k
12.299 * [backup-simplify]: Simplify n into n
12.299 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.299 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
12.299 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
12.299 * [backup-simplify]: Simplify (+ 0 0) into 0
12.300 * [backup-simplify]: Simplify (* 0 (log (* 2.0 (/ PI n)))) into 0
12.300 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
12.300 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ PI n))) into 0
12.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 1) into 0
12.302 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
12.303 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* 2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
12.304 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))
12.304 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
12.305 * [backup-simplify]: Simplify (- 0) into 0
12.305 * [backup-simplify]: Simplify (+ 0 0) into 0
12.305 * [backup-simplify]: Simplify (* 0.5 0) into 0
12.306 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into 0
12.306 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
12.307 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0
12.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 2) into 0
12.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.312 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.313 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
12.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* 2.0 (/ PI n)))))) into (- (* +nan.0 (log (* 2.0 (/ PI n)))))
12.315 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))
12.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2.0 (/ PI n))))
12.318 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.319 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
12.322 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0)
12.324 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))
12.326 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))) (- (* +nan.0 (log (* 2.0 (/ PI n))))))))
12.326 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n
12.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n
12.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n
12.327 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n
12.327 * [taylor]: Taking taylor expansion of 0.5 in n
12.327 * [backup-simplify]: Simplify 0.5 into 0.5
12.327 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n
12.327 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.327 * [taylor]: Taking taylor expansion of 1.0 in n
12.327 * [backup-simplify]: Simplify 1.0 into 1.0
12.327 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.328 * [taylor]: Taking taylor expansion of k in n
12.328 * [backup-simplify]: Simplify k into k
12.328 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.328 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.328 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n
12.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
12.328 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
12.328 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
12.328 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
12.328 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.328 * [taylor]: Taking taylor expansion of 1.0 in n
12.328 * [backup-simplify]: Simplify 1.0 into 1.0
12.329 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.330 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.330 * [taylor]: Taking taylor expansion of k in n
12.330 * [backup-simplify]: Simplify k into k
12.330 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.330 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.330 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
12.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
12.330 * [taylor]: Taking taylor expansion of 2.0 in n
12.330 * [backup-simplify]: Simplify 2.0 into 2.0
12.330 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.330 * [taylor]: Taking taylor expansion of PI in n
12.330 * [backup-simplify]: Simplify PI into PI
12.330 * [taylor]: Taking taylor expansion of n in n
12.330 * [backup-simplify]: Simplify 0 into 0
12.330 * [backup-simplify]: Simplify 1 into 1
12.331 * [backup-simplify]: Simplify (/ PI 1) into PI
12.331 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
12.332 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.333 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
12.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
12.335 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
12.346 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
12.348 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
12.349 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k)))
12.349 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k)))
12.350 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))
12.352 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))
12.354 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))
12.354 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n
12.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n
12.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n
12.354 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n
12.354 * [taylor]: Taking taylor expansion of 0.5 in n
12.354 * [backup-simplify]: Simplify 0.5 into 0.5
12.354 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n
12.354 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.354 * [taylor]: Taking taylor expansion of 1.0 in n
12.354 * [backup-simplify]: Simplify 1.0 into 1.0
12.355 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.355 * [taylor]: Taking taylor expansion of k in n
12.356 * [backup-simplify]: Simplify k into k
12.356 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.356 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.356 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n
12.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
12.356 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
12.356 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
12.356 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
12.356 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.356 * [taylor]: Taking taylor expansion of 1.0 in n
12.356 * [backup-simplify]: Simplify 1.0 into 1.0
12.357 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
12.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.357 * [taylor]: Taking taylor expansion of k in n
12.357 * [backup-simplify]: Simplify k into k
12.358 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.358 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
12.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
12.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
12.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
12.358 * [taylor]: Taking taylor expansion of 2.0 in n
12.358 * [backup-simplify]: Simplify 2.0 into 2.0
12.358 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.358 * [taylor]: Taking taylor expansion of PI in n
12.358 * [backup-simplify]: Simplify PI into PI
12.358 * [taylor]: Taking taylor expansion of n in n
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 1 into 1
12.359 * [backup-simplify]: Simplify (/ PI 1) into PI
12.359 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
12.360 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.361 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
12.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
12.364 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
12.365 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
12.367 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
12.367 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k)))
12.367 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k)))
12.368 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))
12.370 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))
12.372 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))
12.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k
12.372 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k
12.372 * [taylor]: Taking taylor expansion of 0.5 in k
12.372 * [backup-simplify]: Simplify 0.5 into 0.5
12.372 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
12.372 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
12.372 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
12.372 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
12.372 * [taylor]: Taking taylor expansion of 2.0 in k
12.372 * [backup-simplify]: Simplify 2.0 into 2.0
12.372 * [taylor]: Taking taylor expansion of PI in k
12.372 * [backup-simplify]: Simplify PI into PI
12.373 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
12.374 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
12.374 * [taylor]: Taking taylor expansion of (log n) in k
12.374 * [taylor]: Taking taylor expansion of n in k
12.374 * [backup-simplify]: Simplify n into n
12.374 * [backup-simplify]: Simplify (log n) into (log n)
12.374 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
12.374 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k
12.374 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.374 * [taylor]: Taking taylor expansion of 1.0 in k
12.374 * [backup-simplify]: Simplify 1.0 into 1.0
12.375 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.375 * [taylor]: Taking taylor expansion of k in k
12.375 * [backup-simplify]: Simplify 0 into 0
12.375 * [backup-simplify]: Simplify 1 into 1
12.376 * [backup-simplify]: Simplify (/ 1 1) into 1
12.376 * [backup-simplify]: Simplify (sqrt 0) into 0
12.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.377 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
12.377 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.377 * [taylor]: Taking taylor expansion of 1.0 in k
12.378 * [backup-simplify]: Simplify 1.0 into 1.0
12.378 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.379 * [taylor]: Taking taylor expansion of k in k
12.379 * [backup-simplify]: Simplify 0 into 0
12.379 * [backup-simplify]: Simplify 1 into 1
12.379 * [backup-simplify]: Simplify (/ 1 1) into 1
12.379 * [backup-simplify]: Simplify (sqrt 0) into 0
12.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.381 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.382 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
12.382 * [backup-simplify]: Simplify (- 0) into 0
12.382 * [backup-simplify]: Simplify (+ 0 0) into 0
12.383 * [backup-simplify]: Simplify (+ 0 0) into 0
12.383 * [backup-simplify]: Simplify (* 0 0) into 0
12.384 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) 0) into 0
12.384 * [backup-simplify]: Simplify (* 0.5 0) into 0
12.385 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
12.385 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.387 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
12.387 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1.0) +nan.0)) (* (- (sqrt 1.0) +nan.0) 0)) into 0
12.388 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
12.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
12.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
12.391 * [backup-simplify]: Simplify (- 0) into 0
12.391 * [backup-simplify]: Simplify (+ 0 0) into 0
12.393 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 0)) into 0
12.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0
12.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.397 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.397 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
12.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.401 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.401 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.402 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
12.407 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))) into (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
12.408 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.412 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
12.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
12.415 * [backup-simplify]: Simplify (- 0) into 0
12.415 * [backup-simplify]: Simplify (+ 0 0) into 0
12.422 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))) into (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))
12.433 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))
12.444 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
12.455 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
12.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.457 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
12.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
12.459 * [backup-simplify]: Simplify (+ 0 0) into 0
12.461 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
12.462 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
12.465 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 1) into 0
12.467 * [backup-simplify]: Simplify (- 0) into 0
12.468 * [backup-simplify]: Simplify (+ 0 0) into 0
12.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k))))) into 0
12.470 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into 0
12.473 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.473 * [taylor]: Taking taylor expansion of 0 in k
12.473 * [backup-simplify]: Simplify 0 into 0
12.473 * [backup-simplify]: Simplify 0 into 0
12.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.479 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
12.480 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.495 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.496 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
12.504 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
12.505 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
12.511 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
12.514 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
12.515 * [backup-simplify]: Simplify (- 0) into 0
12.515 * [backup-simplify]: Simplify (+ 0 0) into 0
12.521 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
12.536 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
12.553 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
12.569 * [backup-simplify]: Simplify (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
12.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.572 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
12.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
12.577 * [backup-simplify]: Simplify (+ 0 0) into 0
12.579 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
12.581 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
12.583 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.588 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 2) into 0
12.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
12.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
12.590 * [backup-simplify]: Simplify (- 0) into 0
12.590 * [backup-simplify]: Simplify (+ 0 0) into 0
12.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k)))))) into 0
12.594 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into 0
12.597 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.597 * [taylor]: Taking taylor expansion of 0 in k
12.597 * [backup-simplify]: Simplify 0 into 0
12.597 * [backup-simplify]: Simplify 0 into 0
12.597 * [backup-simplify]: Simplify 0 into 0
12.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
12.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.604 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.604 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
12.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
12.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.611 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.611 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.612 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
12.632 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
12.633 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
12.644 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2.0 PI) 1)))) 24) into 0
12.649 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0
12.650 * [backup-simplify]: Simplify (- 0) into 0
12.650 * [backup-simplify]: Simplify (+ 0 0) into 0
12.656 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
12.678 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
12.702 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))
12.750 * [backup-simplify]: Simplify (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))))))))))))))))))))))))))))) into (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (pow (log (* 2.0 PI)) 2)))))))))))))))))))))))))))
12.834 * [backup-simplify]: Simplify (+ (* (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log (/ 1 n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log (/ 1 n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log (/ 1 n))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (/ 1 n)) 2))) (- (+ (* +nan.0 (pow (log (/ 1 n)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (/ 1 n)) 2))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (* +nan.0 (pow (log (* 2.0 PI)) 2))))))))))))))))))))))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n)))))))))) (* (/ 1 k) 1)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))))) into (- (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (/ 1 n)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (log (/ 1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (sqrt 1.0) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (* 2.0 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (pow (sqrt 1.0) 2))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) k)))))))))))))))))))))))))))))))))))
12.836 * [backup-simplify]: Simplify (pow (pow (* 2.0 (* (/ 1 (- n)) PI)) (+ (sqrt 1.0) (sqrt (/ 1 (- k))))) (/ (- (sqrt 1.0) (sqrt (/ 1 (- k)))) 2.0)) into (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))))
12.836 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0
12.836 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k
12.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k
12.836 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k
12.836 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k
12.836 * [taylor]: Taking taylor expansion of 0.5 in k
12.836 * [backup-simplify]: Simplify 0.5 into 0.5
12.836 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k
12.836 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.836 * [taylor]: Taking taylor expansion of 1.0 in k
12.836 * [backup-simplify]: Simplify 1.0 into 1.0
12.837 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.837 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.837 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.837 * [taylor]: Taking taylor expansion of -1 in k
12.837 * [backup-simplify]: Simplify -1 into -1
12.837 * [taylor]: Taking taylor expansion of k in k
12.838 * [backup-simplify]: Simplify 0 into 0
12.838 * [backup-simplify]: Simplify 1 into 1
12.838 * [backup-simplify]: Simplify (/ -1 1) into -1
12.838 * [backup-simplify]: Simplify (sqrt 0) into 0
12.840 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.840 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k
12.840 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k
12.840 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k
12.840 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k
12.840 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
12.840 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.840 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.840 * [taylor]: Taking taylor expansion of -1 in k
12.840 * [backup-simplify]: Simplify -1 into -1
12.840 * [taylor]: Taking taylor expansion of k in k
12.840 * [backup-simplify]: Simplify 0 into 0
12.840 * [backup-simplify]: Simplify 1 into 1
12.840 * [backup-simplify]: Simplify (/ -1 1) into -1
12.841 * [backup-simplify]: Simplify (sqrt 0) into 0
12.842 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.842 * [taylor]: Taking taylor expansion of 1.0 in k
12.842 * [backup-simplify]: Simplify 1.0 into 1.0
12.842 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.843 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
12.843 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
12.843 * [taylor]: Taking taylor expansion of -2.0 in k
12.843 * [backup-simplify]: Simplify -2.0 into -2.0
12.843 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.843 * [taylor]: Taking taylor expansion of PI in k
12.843 * [backup-simplify]: Simplify PI into PI
12.843 * [taylor]: Taking taylor expansion of n in k
12.843 * [backup-simplify]: Simplify n into n
12.843 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.843 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
12.844 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
12.844 * [backup-simplify]: Simplify (+ 0 0) into 0
12.844 * [backup-simplify]: Simplify (* 0 (log (* -2.0 (/ PI n)))) into 0
12.844 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
12.845 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (/ PI n))) into 0
12.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 1) into 0
12.846 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
12.847 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* -2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
12.848 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))
12.849 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
12.849 * [backup-simplify]: Simplify (- 0) into 0
12.849 * [backup-simplify]: Simplify (+ 0 0) into 0
12.850 * [backup-simplify]: Simplify (* 0.5 0) into 0
12.850 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into 0
12.851 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
12.851 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0
12.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 2) into 0
12.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.857 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.857 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* -2.0 (/ PI n)))))) into (- (* +nan.0 (log (* -2.0 (/ PI n)))))
12.860 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))
12.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2.0 (/ PI n))))
12.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.863 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
12.866 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0)
12.868 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))
12.870 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n))))))))
12.870 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n
12.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n
12.870 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n
12.870 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n
12.870 * [taylor]: Taking taylor expansion of 0.5 in n
12.870 * [backup-simplify]: Simplify 0.5 into 0.5
12.870 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n
12.870 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.870 * [taylor]: Taking taylor expansion of 1.0 in n
12.870 * [backup-simplify]: Simplify 1.0 into 1.0
12.870 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.871 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.871 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.871 * [taylor]: Taking taylor expansion of -1 in n
12.871 * [backup-simplify]: Simplify -1 into -1
12.871 * [taylor]: Taking taylor expansion of k in n
12.871 * [backup-simplify]: Simplify k into k
12.871 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.871 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.872 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.872 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n
12.872 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
12.872 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
12.872 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
12.872 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
12.872 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.872 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.872 * [taylor]: Taking taylor expansion of -1 in n
12.872 * [backup-simplify]: Simplify -1 into -1
12.872 * [taylor]: Taking taylor expansion of k in n
12.872 * [backup-simplify]: Simplify k into k
12.872 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.872 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.872 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.872 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.872 * [taylor]: Taking taylor expansion of 1.0 in n
12.872 * [backup-simplify]: Simplify 1.0 into 1.0
12.873 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.874 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
12.874 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
12.874 * [taylor]: Taking taylor expansion of -2.0 in n
12.874 * [backup-simplify]: Simplify -2.0 into -2.0
12.874 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.874 * [taylor]: Taking taylor expansion of PI in n
12.874 * [backup-simplify]: Simplify PI into PI
12.874 * [taylor]: Taking taylor expansion of n in n
12.874 * [backup-simplify]: Simplify 0 into 0
12.874 * [backup-simplify]: Simplify 1 into 1
12.874 * [backup-simplify]: Simplify (/ PI 1) into PI
12.875 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
12.876 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
12.876 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
12.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
12.879 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
12.880 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
12.882 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
12.882 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k)))
12.883 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k)))
12.883 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))
12.885 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))
12.887 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))))
12.887 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n
12.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n
12.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n
12.887 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n
12.887 * [taylor]: Taking taylor expansion of 0.5 in n
12.887 * [backup-simplify]: Simplify 0.5 into 0.5
12.887 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n
12.887 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.888 * [taylor]: Taking taylor expansion of 1.0 in n
12.888 * [backup-simplify]: Simplify 1.0 into 1.0
12.888 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.889 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.889 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.889 * [taylor]: Taking taylor expansion of -1 in n
12.889 * [backup-simplify]: Simplify -1 into -1
12.889 * [taylor]: Taking taylor expansion of k in n
12.889 * [backup-simplify]: Simplify k into k
12.889 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.889 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.889 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.889 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n
12.889 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
12.889 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
12.889 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
12.889 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
12.889 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.889 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.889 * [taylor]: Taking taylor expansion of -1 in n
12.889 * [backup-simplify]: Simplify -1 into -1
12.889 * [taylor]: Taking taylor expansion of k in n
12.889 * [backup-simplify]: Simplify k into k
12.889 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.889 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.890 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.890 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
12.890 * [taylor]: Taking taylor expansion of 1.0 in n
12.890 * [backup-simplify]: Simplify 1.0 into 1.0
12.890 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.891 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
12.891 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
12.891 * [taylor]: Taking taylor expansion of -2.0 in n
12.891 * [backup-simplify]: Simplify -2.0 into -2.0
12.891 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.891 * [taylor]: Taking taylor expansion of PI in n
12.891 * [backup-simplify]: Simplify PI into PI
12.891 * [taylor]: Taking taylor expansion of n in n
12.891 * [backup-simplify]: Simplify 0 into 0
12.891 * [backup-simplify]: Simplify 1 into 1
12.892 * [backup-simplify]: Simplify (/ PI 1) into PI
12.892 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
12.893 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
12.893 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
12.895 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
12.896 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
12.897 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
12.899 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
12.899 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k)))
12.900 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k)))
12.900 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))
12.902 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))
12.911 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))))
12.911 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k
12.911 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k
12.911 * [taylor]: Taking taylor expansion of 0.5 in k
12.911 * [backup-simplify]: Simplify 0.5 into 0.5
12.911 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k
12.911 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
12.912 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.912 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.912 * [taylor]: Taking taylor expansion of -1 in k
12.912 * [backup-simplify]: Simplify -1 into -1
12.912 * [taylor]: Taking taylor expansion of k in k
12.912 * [backup-simplify]: Simplify 0 into 0
12.912 * [backup-simplify]: Simplify 1 into 1
12.912 * [backup-simplify]: Simplify (/ -1 1) into -1
12.913 * [backup-simplify]: Simplify (sqrt 0) into 0
12.914 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.914 * [taylor]: Taking taylor expansion of 1.0 in k
12.914 * [backup-simplify]: Simplify 1.0 into 1.0
12.914 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.915 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k
12.915 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
12.915 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
12.915 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
12.915 * [taylor]: Taking taylor expansion of -2.0 in k
12.915 * [backup-simplify]: Simplify -2.0 into -2.0
12.915 * [taylor]: Taking taylor expansion of PI in k
12.915 * [backup-simplify]: Simplify PI into PI
12.916 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
12.917 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
12.917 * [taylor]: Taking taylor expansion of (log n) in k
12.917 * [taylor]: Taking taylor expansion of n in k
12.917 * [backup-simplify]: Simplify n into n
12.917 * [backup-simplify]: Simplify (log n) into (log n)
12.917 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k
12.917 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
12.917 * [taylor]: Taking taylor expansion of 1.0 in k
12.917 * [backup-simplify]: Simplify 1.0 into 1.0
12.917 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
12.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
12.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.918 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.918 * [taylor]: Taking taylor expansion of -1 in k
12.918 * [backup-simplify]: Simplify -1 into -1
12.918 * [taylor]: Taking taylor expansion of k in k
12.918 * [backup-simplify]: Simplify 0 into 0
12.918 * [backup-simplify]: Simplify 1 into 1
12.918 * [backup-simplify]: Simplify (/ -1 1) into -1
12.919 * [backup-simplify]: Simplify (sqrt 0) into 0
12.920 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.920 * [backup-simplify]: Simplify (+ 0 0) into 0
12.920 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.921 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
12.922 * [backup-simplify]: Simplify (- 0) into 0
12.922 * [backup-simplify]: Simplify (+ 0 0) into 0
12.923 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 0) into 0
12.923 * [backup-simplify]: Simplify (* 0 0) into 0
12.924 * [backup-simplify]: Simplify (* 0.5 0) into 0
12.924 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.925 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
12.926 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
12.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
12.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
12.929 * [backup-simplify]: Simplify (- 0) into 0
12.929 * [backup-simplify]: Simplify (+ 0 0) into 0
12.931 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))
12.932 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
12.938 * [backup-simplify]: Simplify (+ (* 0 (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- (sqrt 1.0) +nan.0) 0)) into 0
12.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0
12.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.942 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.943 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
12.944 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
12.945 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
12.948 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
12.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
12.950 * [backup-simplify]: Simplify (- 0) into 0
12.950 * [backup-simplify]: Simplify (+ 0 0) into 0
12.953 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
12.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.956 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.957 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
12.965 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))) into (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))
12.976 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))
12.986 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
12.997 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
12.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
12.998 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
13.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
13.000 * [backup-simplify]: Simplify (+ 0 0) into 0
13.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
13.003 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
13.005 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 1) into 0
13.007 * [backup-simplify]: Simplify (- 0) into 0
13.008 * [backup-simplify]: Simplify (+ 0 0) into 0
13.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k))))) into 0
13.010 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into 0
13.013 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.013 * [taylor]: Taking taylor expansion of 0 in k
13.013 * [backup-simplify]: Simplify 0 into 0
13.013 * [backup-simplify]: Simplify 0 into 0
13.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.019 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.020 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.021 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.026 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
13.029 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
13.029 * [backup-simplify]: Simplify (- 0) into 0
13.029 * [backup-simplify]: Simplify (+ 0 0) into 0
13.032 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
13.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.045 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.057 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.072 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
13.090 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
13.106 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
13.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.109 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
13.112 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
13.112 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.113 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
13.114 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.114 * [backup-simplify]: Simplify (+ 0 0) into 0
13.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
13.118 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
13.120 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 2) into 0
13.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.126 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.127 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
13.127 * [backup-simplify]: Simplify (- 0) into 0
13.128 * [backup-simplify]: Simplify (+ 0 0) into 0
13.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k)))))) into 0
13.131 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))))) into 0
13.134 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.134 * [taylor]: Taking taylor expansion of 0 in k
13.134 * [backup-simplify]: Simplify 0 into 0
13.134 * [backup-simplify]: Simplify 0 into 0
13.134 * [backup-simplify]: Simplify 0 into 0
13.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.142 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.142 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.143 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.144 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.155 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2.0 PI) 1)))) 24) into 0
13.160 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0
13.160 * [backup-simplify]: Simplify (- 0) into 0
13.161 * [backup-simplify]: Simplify (+ 0 0) into 0
13.163 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
13.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.169 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.171 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.199 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.221 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
13.245 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
13.294 * [backup-simplify]: Simplify (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
13.384 * [backup-simplify]: Simplify (+ (* (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log (/ 1 (- n))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log (/ 1 (- n))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (+ (* +nan.0 (* (log (/ 1 (- n))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (pow (log (/ 1 (- n))) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (/ 1 (- n))) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (+ (* +nan.0 (log (/ 1 (- n)))) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))) (* (/ 1 (- k)) 1)) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n)))))))))))))) into (- (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2))))))))))))))))))))))))))))))))))))
13.385 * * * * [progress]: [ 4 / 4 ] generating series at (2)
13.386 * [backup-simplify]: Simplify (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)) into (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k))))
13.386 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k)))) in (n k) around 0
13.386 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k)))) in k
13.386 * [taylor]: Taking taylor expansion of 1.0 in k
13.386 * [backup-simplify]: Simplify 1.0 into 1.0
13.386 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k))) in k
13.386 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k
13.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k
13.386 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k
13.386 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k
13.387 * [taylor]: Taking taylor expansion of 0.5 in k
13.387 * [backup-simplify]: Simplify 0.5 into 0.5
13.387 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k
13.387 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.387 * [taylor]: Taking taylor expansion of 1.0 in k
13.387 * [backup-simplify]: Simplify 1.0 into 1.0
13.387 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.388 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.388 * [taylor]: Taking taylor expansion of k in k
13.388 * [backup-simplify]: Simplify 0 into 0
13.388 * [backup-simplify]: Simplify 1 into 1
13.388 * [backup-simplify]: Simplify (sqrt 0) into 0
13.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.390 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k
13.390 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k
13.390 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k
13.390 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k
13.390 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
13.390 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.390 * [taylor]: Taking taylor expansion of k in k
13.390 * [backup-simplify]: Simplify 0 into 0
13.390 * [backup-simplify]: Simplify 1 into 1
13.390 * [backup-simplify]: Simplify (sqrt 0) into 0
13.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.391 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.391 * [taylor]: Taking taylor expansion of 1.0 in k
13.391 * [backup-simplify]: Simplify 1.0 into 1.0
13.392 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.392 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
13.392 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
13.392 * [taylor]: Taking taylor expansion of 2.0 in k
13.392 * [backup-simplify]: Simplify 2.0 into 2.0
13.393 * [taylor]: Taking taylor expansion of (* n PI) in k
13.393 * [taylor]: Taking taylor expansion of n in k
13.393 * [backup-simplify]: Simplify n into n
13.393 * [taylor]: Taking taylor expansion of PI in k
13.393 * [backup-simplify]: Simplify PI into PI
13.393 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.393 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
13.393 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
13.394 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
13.394 * [backup-simplify]: Simplify (* (sqrt 1.0) (log (* 2.0 (* n PI)))) into (* (sqrt 1.0) (log (* 2.0 (* n PI))))
13.395 * [backup-simplify]: Simplify (exp (* (sqrt 1.0) (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) (sqrt 1.0))
13.395 * [backup-simplify]: Simplify (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) into (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))
13.395 * [backup-simplify]: Simplify (- 0) into 0
13.396 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
13.397 * [backup-simplify]: Simplify (* 0.5 (sqrt 1.0)) into (* 0.5 (sqrt 1.0))
13.399 * [backup-simplify]: Simplify (* (* 0.5 (sqrt 1.0)) (log (pow (* 2.0 (* n PI)) (sqrt 1.0)))) into (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))
13.400 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0)))) into (exp (* 0.5 (* (log (pow (* 2.0 (* n PI)) (sqrt 1.0))) (sqrt 1.0))))
13.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.400 * [taylor]: Taking taylor expansion of k in k
13.400 * [backup-simplify]: Simplify 0 into 0
13.400 * [backup-simplify]: Simplify 1 into 1
13.401 * [backup-simplify]: Simplify (/ 1 1) into 1
13.401 * [backup-simplify]: Simplify (sqrt 0) into 0
13.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.402 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k)))) in n
13.402 * [taylor]: Taking taylor expansion of 1.0 in n
13.402 * [backup-simplify]: Simplify 1.0 into 1.0
13.402 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k))) in n
13.402 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n
13.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n
13.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n
13.402 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n
13.402 * [taylor]: Taking taylor expansion of 0.5 in n
13.403 * [backup-simplify]: Simplify 0.5 into 0.5
13.403 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n
13.403 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.403 * [taylor]: Taking taylor expansion of 1.0 in n
13.403 * [backup-simplify]: Simplify 1.0 into 1.0
13.403 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.404 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.404 * [taylor]: Taking taylor expansion of k in n
13.404 * [backup-simplify]: Simplify k into k
13.404 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.404 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n
13.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
13.404 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
13.404 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
13.404 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
13.404 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.404 * [taylor]: Taking taylor expansion of k in n
13.404 * [backup-simplify]: Simplify k into k
13.404 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.404 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.404 * [taylor]: Taking taylor expansion of 1.0 in n
13.404 * [backup-simplify]: Simplify 1.0 into 1.0
13.405 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
13.405 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
13.405 * [taylor]: Taking taylor expansion of 2.0 in n
13.405 * [backup-simplify]: Simplify 2.0 into 2.0
13.405 * [taylor]: Taking taylor expansion of (* n PI) in n
13.405 * [taylor]: Taking taylor expansion of n in n
13.405 * [backup-simplify]: Simplify 0 into 0
13.405 * [backup-simplify]: Simplify 1 into 1
13.405 * [taylor]: Taking taylor expansion of PI in n
13.406 * [backup-simplify]: Simplify PI into PI
13.406 * [backup-simplify]: Simplify (* 0 PI) into 0
13.406 * [backup-simplify]: Simplify (* 2.0 0) into 0
13.408 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.409 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
13.410 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.410 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
13.412 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.413 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
13.415 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
13.416 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
13.416 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k))
13.417 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k))
13.417 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k)))
13.419 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))
13.420 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))
13.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.421 * [taylor]: Taking taylor expansion of k in n
13.421 * [backup-simplify]: Simplify k into k
13.421 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.421 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.421 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k)))) in n
13.421 * [taylor]: Taking taylor expansion of 1.0 in n
13.421 * [backup-simplify]: Simplify 1.0 into 1.0
13.421 * [taylor]: Taking taylor expansion of (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) (sqrt (/ 1 k))) in n
13.421 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n
13.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n
13.421 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n
13.421 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n
13.421 * [taylor]: Taking taylor expansion of 0.5 in n
13.421 * [backup-simplify]: Simplify 0.5 into 0.5
13.421 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n
13.421 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.421 * [taylor]: Taking taylor expansion of 1.0 in n
13.421 * [backup-simplify]: Simplify 1.0 into 1.0
13.422 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.422 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.422 * [taylor]: Taking taylor expansion of k in n
13.423 * [backup-simplify]: Simplify k into k
13.423 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.423 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n
13.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n
13.423 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n
13.423 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n
13.423 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n
13.423 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.423 * [taylor]: Taking taylor expansion of k in n
13.423 * [backup-simplify]: Simplify k into k
13.423 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.423 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
13.423 * [taylor]: Taking taylor expansion of 1.0 in n
13.423 * [backup-simplify]: Simplify 1.0 into 1.0
13.423 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.424 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
13.424 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
13.424 * [taylor]: Taking taylor expansion of 2.0 in n
13.424 * [backup-simplify]: Simplify 2.0 into 2.0
13.424 * [taylor]: Taking taylor expansion of (* n PI) in n
13.424 * [taylor]: Taking taylor expansion of n in n
13.424 * [backup-simplify]: Simplify 0 into 0
13.424 * [backup-simplify]: Simplify 1 into 1
13.424 * [taylor]: Taking taylor expansion of PI in n
13.424 * [backup-simplify]: Simplify PI into PI
13.425 * [backup-simplify]: Simplify (* 0 PI) into 0
13.425 * [backup-simplify]: Simplify (* 2.0 0) into 0
13.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.428 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
13.429 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.429 * [backup-simplify]: Simplify (+ (sqrt k) (sqrt 1.0)) into (+ (sqrt k) (sqrt 1.0))
13.431 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.432 * [backup-simplify]: Simplify (* (+ (sqrt k) (sqrt 1.0)) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
13.433 * [backup-simplify]: Simplify (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))
13.435 * [backup-simplify]: Simplify (log (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))
13.435 * [backup-simplify]: Simplify (- (sqrt k)) into (- (sqrt k))
13.435 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt k))) into (- (sqrt 1.0) (sqrt k))
13.436 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt k))) into (* 0.5 (- (sqrt 1.0) (sqrt k)))
13.437 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))
13.439 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))
13.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.439 * [taylor]: Taking taylor expansion of k in n
13.439 * [backup-simplify]: Simplify k into k
13.440 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.440 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.442 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))))
13.444 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))))) into (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))))
13.444 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))))) in k
13.444 * [taylor]: Taking taylor expansion of 1.0 in k
13.444 * [backup-simplify]: Simplify 1.0 into 1.0
13.444 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))) in k
13.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.444 * [taylor]: Taking taylor expansion of k in k
13.444 * [backup-simplify]: Simplify 0 into 0
13.444 * [backup-simplify]: Simplify 1 into 1
13.444 * [backup-simplify]: Simplify (/ 1 1) into 1
13.445 * [backup-simplify]: Simplify (sqrt 0) into 0
13.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.446 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k
13.446 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k
13.446 * [taylor]: Taking taylor expansion of 0.5 in k
13.446 * [backup-simplify]: Simplify 0.5 into 0.5
13.446 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k
13.446 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
13.446 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
13.446 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
13.446 * [taylor]: Taking taylor expansion of 2.0 in k
13.446 * [backup-simplify]: Simplify 2.0 into 2.0
13.446 * [taylor]: Taking taylor expansion of PI in k
13.446 * [backup-simplify]: Simplify PI into PI
13.447 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
13.448 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
13.448 * [taylor]: Taking taylor expansion of (log n) in k
13.448 * [taylor]: Taking taylor expansion of n in k
13.448 * [backup-simplify]: Simplify n into n
13.448 * [backup-simplify]: Simplify (log n) into (log n)
13.448 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k
13.448 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k
13.448 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.448 * [taylor]: Taking taylor expansion of k in k
13.448 * [backup-simplify]: Simplify 0 into 0
13.448 * [backup-simplify]: Simplify 1 into 1
13.448 * [backup-simplify]: Simplify (sqrt 0) into 0
13.450 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.450 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.450 * [taylor]: Taking taylor expansion of 1.0 in k
13.450 * [backup-simplify]: Simplify 1.0 into 1.0
13.450 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.459 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k
13.459 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
13.459 * [taylor]: Taking taylor expansion of 1.0 in k
13.459 * [backup-simplify]: Simplify 1.0 into 1.0
13.460 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
13.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
13.461 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.461 * [taylor]: Taking taylor expansion of k in k
13.461 * [backup-simplify]: Simplify 0 into 0
13.461 * [backup-simplify]: Simplify 1 into 1
13.461 * [backup-simplify]: Simplify (sqrt 0) into 0
13.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.463 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
13.464 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0)
13.465 * [backup-simplify]: Simplify (- 0) into 0
13.465 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0)
13.466 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2)
13.468 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))
13.470 * [backup-simplify]: Simplify (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))) into (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))
13.472 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))
13.474 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) into 0
13.474 * [backup-simplify]: Simplify (* 1.0 0) into 0
13.474 * [backup-simplify]: Simplify 0 into 0
13.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.476 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
13.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
13.479 * [backup-simplify]: Simplify (+ 0 0) into 0
13.481 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.483 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
13.485 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 1) into 0
13.488 * [backup-simplify]: Simplify (- 0) into 0
13.489 * [backup-simplify]: Simplify (+ 0 0) into 0
13.490 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt k)))) into 0
13.491 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))) into 0
13.494 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.496 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
13.499 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))))) into 0
13.499 * [taylor]: Taking taylor expansion of 0 in k
13.499 * [backup-simplify]: Simplify 0 into 0
13.499 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.500 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.500 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.504 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0))) into (- (* +nan.0 (sqrt 1.0)))
13.506 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
13.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
13.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
13.510 * [backup-simplify]: Simplify (+ 0 0) into 0
13.513 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))
13.521 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))
13.527 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
13.535 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
13.537 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
13.539 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
13.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
13.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.542 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.545 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
13.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
13.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.547 * [backup-simplify]: Simplify (+ 0 0) into 0
13.549 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.550 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
13.553 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 2) into 0
13.558 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
13.559 * [backup-simplify]: Simplify (- 0) into 0
13.560 * [backup-simplify]: Simplify (+ 0 0) into 0
13.561 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt k))))) into 0
13.563 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (+ (* 0 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))))) into 0
13.566 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.568 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
13.571 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))))))) into 0
13.571 * [taylor]: Taking taylor expansion of 0 in k
13.571 * [backup-simplify]: Simplify 0 into 0
13.571 * [backup-simplify]: Simplify 0 into 0
13.572 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.575 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.575 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.576 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.579 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
13.580 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.586 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
13.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
13.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
13.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
13.592 * [backup-simplify]: Simplify (+ 0 0) into 0
13.597 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.617 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.629 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))
13.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.633 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.659 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))
13.670 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* 0 0))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))
13.678 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))
13.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
13.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.682 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
13.688 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
13.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
13.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.691 * [backup-simplify]: Simplify (+ 0 0) into 0
13.693 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
13.695 * [backup-simplify]: Simplify (+ (* (+ (sqrt k) (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0
13.698 * [backup-simplify]: Simplify (* (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.705 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) 1)))) 6) into 0
13.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
13.707 * [backup-simplify]: Simplify (- 0) into 0
13.708 * [backup-simplify]: Simplify (+ 0 0) into 0
13.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt k)))))) into 0
13.712 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))))))) into 0
13.715 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.718 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
13.721 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))))))))) into 0
13.721 * [taylor]: Taking taylor expansion of 0 in k
13.721 * [backup-simplify]: Simplify 0 into 0
13.721 * [backup-simplify]: Simplify 0 into 0
13.721 * [backup-simplify]: Simplify 0 into 0
13.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.726 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.727 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
13.731 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.749 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
13.750 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.755 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
13.759 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
13.759 * [backup-simplify]: Simplify (+ 0 0) into 0
13.765 * [backup-simplify]: Simplify (+ (* (+ (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (sqrt 1.0)))) (* 0 (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.781 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))))) (* 0 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
13.803 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n)))))) 1) 1) (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 3) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 3) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 3) (pow (log n) 2)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))))
13.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.887 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 3) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 3) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 3) (pow (log n) 2)))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (+ (* +nan.0 (* -1 (* (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (* (sqrt 1.0) (log n))))) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))))))))))
13.929 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (* 0 0)))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2)))))))))))))))))))
13.960 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2)))))))))))))))))))
14.006 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))) (* k 1)) (- (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) into (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (* k (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))) (- (+ (* +nan.0 (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (- (* +nan.0 (* k (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))))))))))))))))))))
14.008 * [backup-simplify]: Simplify (/ (* 1.0 (pow (pow (* 2.0 (* (/ 1 n) PI)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (/ (- (sqrt 1.0) (sqrt (/ 1 k))) 2.0))) (sqrt (/ 1 k))) into (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))))
14.008 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))))) in (n k) around 0
14.008 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))))) in k
14.008 * [taylor]: Taking taylor expansion of 1.0 in k
14.008 * [backup-simplify]: Simplify 1.0 into 1.0
14.008 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))) in k
14.008 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.009 * [taylor]: Taking taylor expansion of k in k
14.009 * [backup-simplify]: Simplify 0 into 0
14.009 * [backup-simplify]: Simplify 1 into 1
14.009 * [backup-simplify]: Simplify (sqrt 0) into 0
14.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.010 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k
14.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k
14.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k
14.010 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k
14.010 * [taylor]: Taking taylor expansion of 0.5 in k
14.010 * [backup-simplify]: Simplify 0.5 into 0.5
14.010 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k
14.010 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
14.010 * [taylor]: Taking taylor expansion of 1.0 in k
14.011 * [backup-simplify]: Simplify 1.0 into 1.0
14.011 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.012 * [taylor]: Taking taylor expansion of k in k
14.012 * [backup-simplify]: Simplify 0 into 0
14.012 * [backup-simplify]: Simplify 1 into 1
14.012 * [backup-simplify]: Simplify (/ 1 1) into 1
14.020 * [backup-simplify]: Simplify (sqrt 0) into 0
14.022 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.022 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
14.022 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
14.022 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
14.022 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
14.022 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
14.022 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
14.022 * [taylor]: Taking taylor expansion of 1.0 in k
14.022 * [backup-simplify]: Simplify 1.0 into 1.0
14.022 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.023 * [taylor]: Taking taylor expansion of k in k
14.023 * [backup-simplify]: Simplify 0 into 0
14.023 * [backup-simplify]: Simplify 1 into 1
14.023 * [backup-simplify]: Simplify (/ 1 1) into 1
14.024 * [backup-simplify]: Simplify (sqrt 0) into 0
14.025 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.025 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
14.025 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
14.025 * [taylor]: Taking taylor expansion of 2.0 in k
14.025 * [backup-simplify]: Simplify 2.0 into 2.0
14.025 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.025 * [taylor]: Taking taylor expansion of PI in k
14.025 * [backup-simplify]: Simplify PI into PI
14.025 * [taylor]: Taking taylor expansion of n in k
14.025 * [backup-simplify]: Simplify n into n
14.025 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.025 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
14.025 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
14.026 * [backup-simplify]: Simplify (+ 0 0) into 0
14.026 * [backup-simplify]: Simplify (* 0 (log (* 2.0 (/ PI n)))) into 0
14.026 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
14.027 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ PI n))) into 0
14.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 1) into 0
14.029 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
14.030 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* 2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
14.030 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))
14.031 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))
14.031 * [backup-simplify]: Simplify (- 0) into 0
14.032 * [backup-simplify]: Simplify (+ 0 0) into 0
14.032 * [backup-simplify]: Simplify (* 0.5 0) into 0
14.033 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) into 0
14.033 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
14.034 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0
14.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (/ PI n)) 1)))) 2) into 0
14.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.039 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.039 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
14.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* 2.0 (/ PI n)))))) into (- (* +nan.0 (log (* 2.0 (/ PI n)))))
14.042 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* 2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))
14.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) (log (* 2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* 2.0 (/ PI n))))
14.044 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.045 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
14.048 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0)
14.050 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* 2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* 2.0 (/ PI n)))) (* +nan.0 (log (* 2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))
14.052 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (log (* 2.0 (/ PI n)))) (- (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* 2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* 2.0 (/ PI n))))) (- (* +nan.0 (log (* 2.0 (/ PI n))))))))
14.052 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))))) in n
14.052 * [taylor]: Taking taylor expansion of 1.0 in n
14.052 * [backup-simplify]: Simplify 1.0 into 1.0
14.052 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))) in n
14.052 * [taylor]: Taking taylor expansion of (sqrt k) in n
14.052 * [taylor]: Taking taylor expansion of k in n
14.052 * [backup-simplify]: Simplify k into k
14.052 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
14.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
14.052 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n
14.052 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n
14.052 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n
14.052 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n
14.052 * [taylor]: Taking taylor expansion of 0.5 in n
14.052 * [backup-simplify]: Simplify 0.5 into 0.5
14.052 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n
14.052 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
14.052 * [taylor]: Taking taylor expansion of 1.0 in n
14.052 * [backup-simplify]: Simplify 1.0 into 1.0
14.053 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
14.053 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.053 * [taylor]: Taking taylor expansion of k in n
14.053 * [backup-simplify]: Simplify k into k
14.054 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.054 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
14.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
14.054 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n
14.054 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
14.054 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
14.054 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
14.054 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
14.054 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
14.054 * [taylor]: Taking taylor expansion of 1.0 in n
14.054 * [backup-simplify]: Simplify 1.0 into 1.0
14.054 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
14.055 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.055 * [taylor]: Taking taylor expansion of k in n
14.055 * [backup-simplify]: Simplify k into k
14.055 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.055 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
14.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
14.056 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
14.056 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
14.056 * [taylor]: Taking taylor expansion of 2.0 in n
14.056 * [backup-simplify]: Simplify 2.0 into 2.0
14.056 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.056 * [taylor]: Taking taylor expansion of PI in n
14.056 * [backup-simplify]: Simplify PI into PI
14.056 * [taylor]: Taking taylor expansion of n in n
14.056 * [backup-simplify]: Simplify 0 into 0
14.056 * [backup-simplify]: Simplify 1 into 1
14.056 * [backup-simplify]: Simplify (/ PI 1) into PI
14.057 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
14.058 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
14.058 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
14.059 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
14.061 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
14.062 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
14.064 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
14.064 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k)))
14.064 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k)))
14.065 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))
14.067 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))
14.068 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))
14.068 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))))) in n
14.069 * [taylor]: Taking taylor expansion of 1.0 in n
14.069 * [backup-simplify]: Simplify 1.0 into 1.0
14.069 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))))) in n
14.069 * [taylor]: Taking taylor expansion of (sqrt k) in n
14.069 * [taylor]: Taking taylor expansion of k in n
14.069 * [backup-simplify]: Simplify k into k
14.069 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
14.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
14.069 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n
14.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n
14.069 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n
14.069 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n
14.069 * [taylor]: Taking taylor expansion of 0.5 in n
14.069 * [backup-simplify]: Simplify 0.5 into 0.5
14.069 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n
14.069 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
14.069 * [taylor]: Taking taylor expansion of 1.0 in n
14.069 * [backup-simplify]: Simplify 1.0 into 1.0
14.069 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
14.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.070 * [taylor]: Taking taylor expansion of k in n
14.070 * [backup-simplify]: Simplify k into k
14.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.070 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
14.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
14.071 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n
14.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n
14.071 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
14.071 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
14.071 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n
14.071 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
14.071 * [taylor]: Taking taylor expansion of 1.0 in n
14.071 * [backup-simplify]: Simplify 1.0 into 1.0
14.071 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
14.072 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.072 * [taylor]: Taking taylor expansion of k in n
14.072 * [backup-simplify]: Simplify k into k
14.072 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.072 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
14.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
14.072 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
14.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
14.072 * [taylor]: Taking taylor expansion of 2.0 in n
14.072 * [backup-simplify]: Simplify 2.0 into 2.0
14.072 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.072 * [taylor]: Taking taylor expansion of PI in n
14.072 * [backup-simplify]: Simplify PI into PI
14.072 * [taylor]: Taking taylor expansion of n in n
14.072 * [backup-simplify]: Simplify 0 into 0
14.072 * [backup-simplify]: Simplify 1 into 1
14.073 * [backup-simplify]: Simplify (/ PI 1) into PI
14.073 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
14.074 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
14.075 * [backup-simplify]: Simplify (+ (sqrt 1.0) (sqrt (/ 1 k))) into (+ (sqrt 1.0) (sqrt (/ 1 k)))
14.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
14.077 * [backup-simplify]: Simplify (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
14.079 * [backup-simplify]: Simplify (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))
14.080 * [backup-simplify]: Simplify (log (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))
14.080 * [backup-simplify]: Simplify (- (sqrt (/ 1 k))) into (- (sqrt (/ 1 k)))
14.081 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ 1 k)))) into (- (sqrt 1.0) (sqrt (/ 1 k)))
14.081 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))
14.083 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))
14.085 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))
14.087 * [backup-simplify]: Simplify (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))) into (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))
14.089 * [backup-simplify]: Simplify (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))) into (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))))
14.089 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))) in k
14.089 * [taylor]: Taking taylor expansion of 1.0 in k
14.089 * [backup-simplify]: Simplify 1.0 into 1.0
14.089 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))) in k
14.089 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.089 * [taylor]: Taking taylor expansion of k in k
14.089 * [backup-simplify]: Simplify 0 into 0
14.089 * [backup-simplify]: Simplify 1 into 1
14.090 * [backup-simplify]: Simplify (sqrt 0) into 0
14.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.091 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k
14.091 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k
14.091 * [taylor]: Taking taylor expansion of 0.5 in k
14.091 * [backup-simplify]: Simplify 0.5 into 0.5
14.091 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k
14.091 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
14.091 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
14.091 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
14.091 * [taylor]: Taking taylor expansion of 2.0 in k
14.091 * [backup-simplify]: Simplify 2.0 into 2.0
14.091 * [taylor]: Taking taylor expansion of PI in k
14.091 * [backup-simplify]: Simplify PI into PI
14.092 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
14.093 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
14.093 * [taylor]: Taking taylor expansion of (log n) in k
14.093 * [taylor]: Taking taylor expansion of n in k
14.093 * [backup-simplify]: Simplify n into n
14.093 * [backup-simplify]: Simplify (log n) into (log n)
14.093 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k
14.093 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k
14.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
14.093 * [taylor]: Taking taylor expansion of 1.0 in k
14.093 * [backup-simplify]: Simplify 1.0 into 1.0
14.093 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.094 * [taylor]: Taking taylor expansion of k in k
14.094 * [backup-simplify]: Simplify 0 into 0
14.094 * [backup-simplify]: Simplify 1 into 1
14.094 * [backup-simplify]: Simplify (/ 1 1) into 1
14.095 * [backup-simplify]: Simplify (sqrt 0) into 0
14.096 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.096 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k
14.096 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
14.096 * [taylor]: Taking taylor expansion of 1.0 in k
14.096 * [backup-simplify]: Simplify 1.0 into 1.0
14.096 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
14.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
14.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.097 * [taylor]: Taking taylor expansion of k in k
14.097 * [backup-simplify]: Simplify 0 into 0
14.097 * [backup-simplify]: Simplify 1 into 1
14.097 * [backup-simplify]: Simplify (/ 1 1) into 1
14.098 * [backup-simplify]: Simplify (sqrt 0) into 0
14.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.099 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.100 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
14.100 * [backup-simplify]: Simplify (- 0) into 0
14.101 * [backup-simplify]: Simplify (+ 0 0) into 0
14.101 * [backup-simplify]: Simplify (+ 0 0) into 0
14.101 * [backup-simplify]: Simplify (* 0 0) into 0
14.102 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) 0) into 0
14.103 * [backup-simplify]: Simplify (* 0.5 0) into 0
14.103 * [backup-simplify]: Simplify (+ (sqrt 1.0) +nan.0) into (- (sqrt 1.0) +nan.0)
14.104 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.105 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
14.106 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1.0) +nan.0)) (* (- (sqrt 1.0) +nan.0) 0)) into 0
14.106 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
14.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
14.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
14.109 * [backup-simplify]: Simplify (- 0) into 0
14.109 * [backup-simplify]: Simplify (+ 0 0) into 0
14.111 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 0)) into 0
14.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0
14.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.115 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
14.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.118 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.119 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.119 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.125 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))) into (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
14.126 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
14.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
14.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
14.131 * [backup-simplify]: Simplify (- 0) into 0
14.131 * [backup-simplify]: Simplify (+ 0 0) into 0
14.136 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))) into (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))
14.146 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))
14.165 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
14.175 * [backup-simplify]: Simplify (* 0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) into 0
14.175 * [backup-simplify]: Simplify (* 1.0 0) into 0
14.176 * [backup-simplify]: Simplify 0 into 0
14.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.177 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
14.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
14.179 * [backup-simplify]: Simplify (+ 0 0) into 0
14.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
14.182 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
14.185 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 1) into 0
14.187 * [backup-simplify]: Simplify (- 0) into 0
14.188 * [backup-simplify]: Simplify (+ 0 0) into 0
14.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k))))) into 0
14.190 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) into 0
14.193 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.195 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))) into 0
14.197 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))))) into 0
14.197 * [taylor]: Taking taylor expansion of 0 in k
14.197 * [backup-simplify]: Simplify 0 into 0
14.197 * [backup-simplify]: Simplify 0 into 0
14.198 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.203 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
14.204 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.209 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.209 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.218 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
14.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.224 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
14.227 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
14.227 * [backup-simplify]: Simplify (- 0) into 0
14.227 * [backup-simplify]: Simplify (+ 0 0) into 0
14.233 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.247 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.264 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
14.307 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
14.319 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))) (* 0 0)) into (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
14.330 * [backup-simplify]: Simplify (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
14.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.332 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
14.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
14.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
14.337 * [backup-simplify]: Simplify (+ 0 0) into 0
14.339 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
14.340 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
14.343 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 2) into 0
14.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
14.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
14.350 * [backup-simplify]: Simplify (- 0) into 0
14.350 * [backup-simplify]: Simplify (+ 0 0) into 0
14.351 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k)))))) into 0
14.353 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) into 0
14.356 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
14.359 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))))) into 0
14.362 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))))) into 0
14.362 * [taylor]: Taking taylor expansion of 0 in k
14.362 * [backup-simplify]: Simplify 0 into 0
14.362 * [backup-simplify]: Simplify 0 into 0
14.362 * [backup-simplify]: Simplify 0 into 0
14.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.368 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.369 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
14.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.375 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.375 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.376 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.387 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
14.388 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
14.399 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2.0 PI) 1)))) 24) into 0
14.404 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0
14.404 * [backup-simplify]: Simplify (- 0) into 0
14.404 * [backup-simplify]: Simplify (+ 0 0) into 0
14.410 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.438 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.461 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))
14.464 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.533 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n))))))))))))))))))))))))))))))) (+ (* +nan.0 (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))) into (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))))))))))))
14.613 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))))))))))))) (+ (* 0 (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))) (* 0 0))) into (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))))))))))))
14.670 * [backup-simplify]: Simplify (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI))))))))))))) into (- (+ (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))))))))))))
14.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.673 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.679 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
14.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
14.681 * [backup-simplify]: Simplify (+ 0 0) into 0
14.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
14.685 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) (sqrt (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
14.688 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.704 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) 1)))) 6) into 0
14.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
14.707 * [backup-simplify]: Simplify (- 0) into 0
14.707 * [backup-simplify]: Simplify (+ 0 0) into 0
14.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ 1 k))))))) into 0
14.711 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))) into 0
14.714 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
14.718 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))))))) into 0
14.721 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))))))))) into 0
14.721 * [taylor]: Taking taylor expansion of 0 in k
14.721 * [backup-simplify]: Simplify 0 into 0
14.721 * [backup-simplify]: Simplify 0 into 0
14.721 * [backup-simplify]: Simplify 0 into 0
14.721 * [backup-simplify]: Simplify 0 into 0
14.723 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.729 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0)
14.730 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
14.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.736 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.737 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.754 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* (- (sqrt 1.0) +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- (sqrt 1.0) +nan.0)) (* (- +nan.0) 0)))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))
14.757 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
14.776 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2.0 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2.0 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2.0 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2.0 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2.0 PI) 1)))) 120) into 0
14.783 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow n 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow n 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow n 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow n 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow n 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow n 1)))) 120) into 0
14.784 * [backup-simplify]: Simplify (- 0) into 0
14.784 * [backup-simplify]: Simplify (+ 0 0) into 0
14.790 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 (- (pow (sqrt 1.0) 2) (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* 0 0) (* 0 0)))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.816 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
14.861 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 3) 6)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1) (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))) 1) 1)))) into (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (log n))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 3) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (log n) 2))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 3))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 3) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 3) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (pow (log n) 2)))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (pow (log (* 2.0 PI)) 3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
14.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.075 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (log n))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (log n))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 3) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (log n) 2))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (log n)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 3))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 3) (pow (log n) 2)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (pow (log n) 3)) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 3) (pow (log n) 3))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 3) (sqrt 1.0))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (pow (log n) 2)))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (pow (log (* 2.0 PI)) 2)) (- (* +nan.0 (pow (log (* 2.0 PI)) 3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (+ (* +nan.0 (* -1 (* (exp (- (* 0.5 (* (log (* 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(* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (pow (sqrt 1.0) 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* 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15.375 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 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PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (pow (sqrt 1.0) 2) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 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15.585 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (sqrt 1.0) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow 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(+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (* (sqrt 1.0) (log (/ 1 n))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (log (/ 1 n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0)))) (- (* +nan.0 (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))) (log (* 2.0 PI))))))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 n)))) (+ (* +nan.0 (log (* 2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 n)))) (- (* +nan.0 (log (/ 1 n))))))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log 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+nan.0 (log (* 2.0 PI))))))))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow (log (/ 1 n)) 2)) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (* 2.0 PI))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (sqrt 1.0))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (log (/ 1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (sqrt 1.0))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (/ 1 n)) (sqrt 1.0))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (log (* 2.0 PI)) (log (/ 1 n)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) k)) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (+ (* +nan.0 (log (/ 1 n))) (- (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (- (* +nan.0 (log (* 2.0 PI))))))))))))) (* (pow (log (/ 1 n)) 2) (pow (sqrt 1.0) 2))) (pow k 3))))))))))))))))))))))))))))))))))))))))))
15.891 * [backup-simplify]: Simplify (/ (* 1.0 (pow (pow (* 2.0 (* (/ 1 (- n)) PI)) (+ (sqrt 1.0) (sqrt (/ 1 (- k))))) (/ (- (sqrt 1.0) (sqrt (/ 1 (- k)))) 2.0))) (sqrt (/ 1 (- k)))) into (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k))))
15.891 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k)))) in (n k) around 0
15.891 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k)))) in k
15.891 * [taylor]: Taking taylor expansion of 1.0 in k
15.891 * [backup-simplify]: Simplify 1.0 into 1.0
15.891 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in k
15.891 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k
15.891 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k
15.891 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k
15.891 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k
15.891 * [taylor]: Taking taylor expansion of 0.5 in k
15.891 * [backup-simplify]: Simplify 0.5 into 0.5
15.891 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k
15.892 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
15.892 * [taylor]: Taking taylor expansion of 1.0 in k
15.892 * [backup-simplify]: Simplify 1.0 into 1.0
15.892 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.893 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.893 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.893 * [taylor]: Taking taylor expansion of -1 in k
15.893 * [backup-simplify]: Simplify -1 into -1
15.893 * [taylor]: Taking taylor expansion of k in k
15.893 * [backup-simplify]: Simplify 0 into 0
15.893 * [backup-simplify]: Simplify 1 into 1
15.893 * [backup-simplify]: Simplify (/ -1 1) into -1
15.893 * [backup-simplify]: Simplify (sqrt 0) into 0
15.895 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.895 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k
15.895 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k
15.895 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k
15.895 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k
15.895 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
15.895 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.895 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.895 * [taylor]: Taking taylor expansion of -1 in k
15.895 * [backup-simplify]: Simplify -1 into -1
15.895 * [taylor]: Taking taylor expansion of k in k
15.895 * [backup-simplify]: Simplify 0 into 0
15.895 * [backup-simplify]: Simplify 1 into 1
15.895 * [backup-simplify]: Simplify (/ -1 1) into -1
15.896 * [backup-simplify]: Simplify (sqrt 0) into 0
15.897 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.897 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
15.897 * [taylor]: Taking taylor expansion of 1.0 in k
15.897 * [backup-simplify]: Simplify 1.0 into 1.0
15.897 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.898 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
15.898 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
15.898 * [taylor]: Taking taylor expansion of -2.0 in k
15.898 * [backup-simplify]: Simplify -2.0 into -2.0
15.898 * [taylor]: Taking taylor expansion of (/ PI n) in k
15.898 * [taylor]: Taking taylor expansion of PI in k
15.898 * [backup-simplify]: Simplify PI into PI
15.898 * [taylor]: Taking taylor expansion of n in k
15.898 * [backup-simplify]: Simplify n into n
15.898 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
15.898 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
15.898 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
15.906 * [backup-simplify]: Simplify (+ 0 0) into 0
15.906 * [backup-simplify]: Simplify (* 0 (log (* -2.0 (/ PI n)))) into 0
15.907 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
15.907 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 (/ PI n))) into 0
15.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 1) into 0
15.909 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
15.910 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1.0) +nan.0) (log (* -2.0 (/ PI n))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
15.911 * [backup-simplify]: Simplify (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))
15.912 * [backup-simplify]: Simplify (log (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))
15.912 * [backup-simplify]: Simplify (- 0) into 0
15.912 * [backup-simplify]: Simplify (+ 0 0) into 0
15.913 * [backup-simplify]: Simplify (* 0.5 0) into 0
15.913 * [backup-simplify]: Simplify (* 0 (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) into 0
15.913 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
15.914 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 (/ PI n)))) into 0
15.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 (/ PI n)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 (/ PI n)) 1)))) 2) into 0
15.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.921 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.921 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
15.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1.0) +nan.0) 0) (* (- +nan.0) (log (* -2.0 (/ PI n)))))) into (- (* +nan.0 (log (* -2.0 (/ PI n)))))
15.923 * [backup-simplify]: Simplify (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (+ (* (/ (pow (- (* +nan.0 (log (* -2.0 (/ PI n))))) 1) 1)))) into (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))
15.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) (log (* -2.0 (/ PI n)))))) 1)) (pow (exp (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n)))))) 1)))) 1) into (* +nan.0 (log (* -2.0 (/ PI n))))
15.925 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
15.927 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
15.929 * [backup-simplify]: Simplify (+ (* 0.5 (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* 0.5 (sqrt 1.0)) +nan.0)
15.931 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log (* -2.0 (/ PI n))))) (* (- (* 0.5 (sqrt 1.0)) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 (/ PI n)))) (* +nan.0 (log (* -2.0 (/ PI n))))))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))
15.933 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n))))))))
15.933 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.933 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.933 * [taylor]: Taking taylor expansion of -1 in k
15.933 * [backup-simplify]: Simplify -1 into -1
15.933 * [taylor]: Taking taylor expansion of k in k
15.933 * [backup-simplify]: Simplify 0 into 0
15.934 * [backup-simplify]: Simplify 1 into 1
15.934 * [backup-simplify]: Simplify (/ -1 1) into -1
15.934 * [backup-simplify]: Simplify (sqrt 0) into 0
15.936 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.937 * [backup-simplify]: Simplify (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))) +nan.0) into (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 (/ PI n))))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 (/ PI n))))) (- (* +nan.0 (log (* -2.0 (/ PI n)))))))))
15.937 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k)))) in n
15.938 * [taylor]: Taking taylor expansion of 1.0 in n
15.938 * [backup-simplify]: Simplify 1.0 into 1.0
15.938 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n
15.938 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n
15.938 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n
15.938 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n
15.938 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n
15.938 * [taylor]: Taking taylor expansion of 0.5 in n
15.938 * [backup-simplify]: Simplify 0.5 into 0.5
15.938 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n
15.938 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
15.938 * [taylor]: Taking taylor expansion of 1.0 in n
15.938 * [backup-simplify]: Simplify 1.0 into 1.0
15.938 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.939 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
15.939 * [taylor]: Taking taylor expansion of (/ -1 k) in n
15.939 * [taylor]: Taking taylor expansion of -1 in n
15.939 * [backup-simplify]: Simplify -1 into -1
15.939 * [taylor]: Taking taylor expansion of k in n
15.939 * [backup-simplify]: Simplify k into k
15.939 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
15.939 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
15.939 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
15.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
15.940 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n
15.940 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
15.940 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
15.940 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
15.940 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
15.940 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
15.940 * [taylor]: Taking taylor expansion of (/ -1 k) in n
15.940 * [taylor]: Taking taylor expansion of -1 in n
15.940 * [backup-simplify]: Simplify -1 into -1
15.940 * [taylor]: Taking taylor expansion of k in n
15.940 * [backup-simplify]: Simplify k into k
15.940 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
15.940 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
15.940 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
15.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
15.940 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
15.940 * [taylor]: Taking taylor expansion of 1.0 in n
15.940 * [backup-simplify]: Simplify 1.0 into 1.0
15.941 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.941 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
15.941 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
15.941 * [taylor]: Taking taylor expansion of -2.0 in n
15.941 * [backup-simplify]: Simplify -2.0 into -2.0
15.941 * [taylor]: Taking taylor expansion of (/ PI n) in n
15.941 * [taylor]: Taking taylor expansion of PI in n
15.941 * [backup-simplify]: Simplify PI into PI
15.941 * [taylor]: Taking taylor expansion of n in n
15.941 * [backup-simplify]: Simplify 0 into 0
15.941 * [backup-simplify]: Simplify 1 into 1
15.942 * [backup-simplify]: Simplify (/ PI 1) into PI
15.942 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
15.943 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
15.944 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
15.946 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
15.949 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
15.950 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
15.952 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
15.952 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k)))
15.953 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k)))
15.953 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))
15.955 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))
15.957 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))))
15.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
15.957 * [taylor]: Taking taylor expansion of (/ -1 k) in n
15.957 * [taylor]: Taking taylor expansion of -1 in n
15.957 * [backup-simplify]: Simplify -1 into -1
15.957 * [taylor]: Taking taylor expansion of k in n
15.957 * [backup-simplify]: Simplify k into k
15.957 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
15.957 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
15.958 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
15.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
15.960 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))
15.960 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k)))) in n
15.960 * [taylor]: Taking taylor expansion of 1.0 in n
15.960 * [backup-simplify]: Simplify 1.0 into 1.0
15.960 * [taylor]: Taking taylor expansion of (/ (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) (sqrt (/ -1 k))) in n
15.960 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n
15.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n
15.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n
15.960 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n
15.960 * [taylor]: Taking taylor expansion of 0.5 in n
15.960 * [backup-simplify]: Simplify 0.5 into 0.5
15.960 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n
15.960 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
15.960 * [taylor]: Taking taylor expansion of 1.0 in n
15.960 * [backup-simplify]: Simplify 1.0 into 1.0
15.960 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.961 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
15.961 * [taylor]: Taking taylor expansion of (/ -1 k) in n
15.961 * [taylor]: Taking taylor expansion of -1 in n
15.961 * [backup-simplify]: Simplify -1 into -1
15.961 * [taylor]: Taking taylor expansion of k in n
15.961 * [backup-simplify]: Simplify k into k
15.961 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
15.961 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
15.962 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
15.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
15.962 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n
15.962 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n
15.962 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n
15.962 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n
15.962 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n
15.962 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
15.962 * [taylor]: Taking taylor expansion of (/ -1 k) in n
15.962 * [taylor]: Taking taylor expansion of -1 in n
15.962 * [backup-simplify]: Simplify -1 into -1
15.962 * [taylor]: Taking taylor expansion of k in n
15.962 * [backup-simplify]: Simplify k into k
15.962 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
15.962 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
15.962 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
15.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
15.962 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n
15.962 * [taylor]: Taking taylor expansion of 1.0 in n
15.962 * [backup-simplify]: Simplify 1.0 into 1.0
15.963 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.964 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
15.964 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
15.964 * [taylor]: Taking taylor expansion of -2.0 in n
15.964 * [backup-simplify]: Simplify -2.0 into -2.0
15.964 * [taylor]: Taking taylor expansion of (/ PI n) in n
15.964 * [taylor]: Taking taylor expansion of PI in n
15.964 * [backup-simplify]: Simplify PI into PI
15.964 * [taylor]: Taking taylor expansion of n in n
15.964 * [backup-simplify]: Simplify 0 into 0
15.964 * [backup-simplify]: Simplify 1 into 1
15.964 * [backup-simplify]: Simplify (/ PI 1) into PI
15.965 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
15.966 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
15.966 * [backup-simplify]: Simplify (+ (sqrt (/ -1 k)) (sqrt 1.0)) into (+ (sqrt (/ -1 k)) (sqrt 1.0))
15.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
15.969 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
15.970 * [backup-simplify]: Simplify (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))
15.972 * [backup-simplify]: Simplify (log (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))
15.972 * [backup-simplify]: Simplify (- (sqrt (/ -1 k))) into (- (sqrt (/ -1 k)))
15.973 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- (sqrt (/ -1 k)))) into (- (sqrt 1.0) (sqrt (/ -1 k)))
15.973 * [backup-simplify]: Simplify (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) into (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))
15.975 * [backup-simplify]: Simplify (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))
15.977 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) into (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))))
15.977 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
15.977 * [taylor]: Taking taylor expansion of (/ -1 k) in n
15.977 * [taylor]: Taking taylor expansion of -1 in n
15.977 * [backup-simplify]: Simplify -1 into -1
15.977 * [taylor]: Taking taylor expansion of k in n
15.977 * [backup-simplify]: Simplify k into k
15.977 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
15.977 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
15.977 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
15.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
15.979 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))
15.981 * [backup-simplify]: Simplify (* 1.0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))) into (* 1.0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))))
15.981 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))) in k
15.981 * [taylor]: Taking taylor expansion of 1.0 in k
15.981 * [backup-simplify]: Simplify 1.0 into 1.0
15.981 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) in k
15.981 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k
15.981 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k
15.981 * [taylor]: Taking taylor expansion of 0.5 in k
15.982 * [backup-simplify]: Simplify 0.5 into 0.5
15.982 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k
15.982 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k
15.982 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.982 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.982 * [taylor]: Taking taylor expansion of -1 in k
15.982 * [backup-simplify]: Simplify -1 into -1
15.982 * [taylor]: Taking taylor expansion of k in k
15.982 * [backup-simplify]: Simplify 0 into 0
15.982 * [backup-simplify]: Simplify 1 into 1
15.982 * [backup-simplify]: Simplify (/ -1 1) into -1
15.982 * [backup-simplify]: Simplify (sqrt 0) into 0
15.984 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.984 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
15.984 * [taylor]: Taking taylor expansion of 1.0 in k
15.984 * [backup-simplify]: Simplify 1.0 into 1.0
15.984 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.985 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k
15.985 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
15.985 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
15.985 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
15.985 * [taylor]: Taking taylor expansion of -2.0 in k
15.985 * [backup-simplify]: Simplify -2.0 into -2.0
15.985 * [taylor]: Taking taylor expansion of PI in k
15.985 * [backup-simplify]: Simplify PI into PI
15.985 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
15.986 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
15.986 * [taylor]: Taking taylor expansion of (log n) in k
15.986 * [taylor]: Taking taylor expansion of n in k
15.986 * [backup-simplify]: Simplify n into n
15.986 * [backup-simplify]: Simplify (log n) into (log n)
15.987 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k
15.987 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k
15.987 * [taylor]: Taking taylor expansion of 1.0 in k
15.987 * [backup-simplify]: Simplify 1.0 into 1.0
15.987 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0)
15.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0
15.988 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.988 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.988 * [taylor]: Taking taylor expansion of -1 in k
15.988 * [backup-simplify]: Simplify -1 into -1
15.988 * [taylor]: Taking taylor expansion of k in k
15.988 * [backup-simplify]: Simplify 0 into 0
15.988 * [backup-simplify]: Simplify 1 into 1
15.988 * [backup-simplify]: Simplify (/ -1 1) into -1
15.988 * [backup-simplify]: Simplify (sqrt 0) into 0
15.990 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.990 * [backup-simplify]: Simplify (+ 0 0) into 0
15.990 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
15.991 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
15.991 * [backup-simplify]: Simplify (- 0) into 0
15.992 * [backup-simplify]: Simplify (+ 0 0) into 0
15.993 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 0) into 0
15.993 * [backup-simplify]: Simplify (* 0 0) into 0
15.993 * [backup-simplify]: Simplify (* 0.5 0) into 0
15.994 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
15.995 * [backup-simplify]: Simplify (+ (sqrt 1.0) (- +nan.0)) into (- (sqrt 1.0) +nan.0)
15.996 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
15.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
15.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
15.999 * [backup-simplify]: Simplify (- 0) into 0
15.999 * [backup-simplify]: Simplify (+ 0 0) into 0
16.001 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) +nan.0)) (* 0 0)) into (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))
16.002 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1.0)) into (- (sqrt 1.0) +nan.0)
16.007 * [backup-simplify]: Simplify (+ (* 0 (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- (sqrt 1.0) +nan.0) 0)) into 0
16.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0)) into 0
16.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.011 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
16.012 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
16.013 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
16.014 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
16.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
16.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
16.019 * [backup-simplify]: Simplify (- 0) into 0
16.019 * [backup-simplify]: Simplify (+ 0 0) into 0
16.022 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
16.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.026 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
16.026 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
16.035 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))) into (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))
16.056 * [backup-simplify]: Simplify (+ (* 0.5 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))) into (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))
16.067 * [backup-simplify]: Simplify (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) into (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))
16.068 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
16.068 * [taylor]: Taking taylor expansion of (/ -1 k) in k
16.068 * [taylor]: Taking taylor expansion of -1 in k
16.068 * [backup-simplify]: Simplify -1 into -1
16.068 * [taylor]: Taking taylor expansion of k in k
16.068 * [backup-simplify]: Simplify 0 into 0
16.068 * [backup-simplify]: Simplify 1 into 1
16.068 * [backup-simplify]: Simplify (/ -1 1) into -1
16.069 * [backup-simplify]: Simplify (sqrt 0) into 0
16.070 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
16.081 * [backup-simplify]: Simplify (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) +nan.0) into (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
16.091 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) into (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
16.102 * [backup-simplify]: Simplify (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) into (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))
16.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.104 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
16.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
16.106 * [backup-simplify]: Simplify (+ 0 0) into 0
16.108 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
16.109 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
16.111 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 1) into 0
16.114 * [backup-simplify]: Simplify (- 0) into 0
16.114 * [backup-simplify]: Simplify (+ 0 0) into 0
16.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k))))) into 0
16.117 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))))) into 0
16.119 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.121 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
16.124 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))))) into 0
16.124 * [taylor]: Taking taylor expansion of 0 in k
16.124 * [backup-simplify]: Simplify 0 into 0
16.124 * [backup-simplify]: Simplify 0 into 0
16.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
16.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.130 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
16.131 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
16.132 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.137 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
16.140 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
16.140 * [backup-simplify]: Simplify (- 0) into 0
16.141 * [backup-simplify]: Simplify (+ 0 0) into 0
16.143 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
16.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.149 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
16.149 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
16.162 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
16.177 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
16.202 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
16.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
16.206 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
16.235 * [backup-simplify]: Simplify (- (/ (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) +nan.0) (+ (* (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))))))))))))
16.315 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))))))))))))) (* 0 (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI)))))))))))))
16.384 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))))))))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log (* -2.0 PI))))))))))))))
16.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.387 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
16.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
16.391 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.392 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
16.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
16.393 * [backup-simplify]: Simplify (+ 0 0) into 0
16.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
16.396 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
16.399 * [backup-simplify]: Simplify (* (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) 1)))) 2) into 0
16.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0
16.405 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.405 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
16.406 * [backup-simplify]: Simplify (- 0) into 0
16.406 * [backup-simplify]: Simplify (+ 0 0) into 0
16.407 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- (sqrt 1.0) (sqrt (/ -1 k)))))) into 0
16.409 * [backup-simplify]: Simplify (+ (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))))) into 0
16.412 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.412 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
16.415 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
16.418 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) (sqrt (/ -1 k)))))) into 0
16.418 * [taylor]: Taking taylor expansion of 0 in k
16.418 * [backup-simplify]: Simplify 0 into 0
16.418 * [backup-simplify]: Simplify 0 into 0
16.418 * [backup-simplify]: Simplify 0 into 0
16.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
16.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.425 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.426 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
16.426 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
16.428 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
16.439 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2.0 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2.0 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2.0 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2.0 PI) 1)))) 24) into 0
16.443 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into 0
16.444 * [backup-simplify]: Simplify (- 0) into 0
16.444 * [backup-simplify]: Simplify (+ 0 0) into 0
16.447 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1.0) +nan.0)) (* 0 0))))) into (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))
16.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.452 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0
16.454 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
16.478 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- (sqrt 1.0) +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))) (+ (* (- +nan.0) (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log n)) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))
16.500 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (+ (* 0 (- (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* (pow (sqrt 1.0) 2) (log n)) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI))))))))))
16.526 * [backup-simplify]: Simplify (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* +nan.0 (log n)))))))))) (+ (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (log (* -2.0 PI)))))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))))
16.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.674 * [backup-simplify]: Simplify (- (/ (* -1 (* (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (log n) (log (* -2.0 PI))))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (+ (* +nan.0 (* (log n) (log (* -2.0 PI)))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (pow (log (* -2.0 PI)) 2)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log n) 2))) (- (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log n)) (- (+ (* +nan.0 (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (- (* +nan.0 (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))))))))))))))))))))))))))) (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))))) +nan.0) (+ (* (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log 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16.957 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* 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17.186 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n)))))))))) (log n)))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log n))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log n))) (- (* +nan.0 (log n))))))))))) (- (+ (* +nan.0 (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) 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n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))) (- (* +nan.0 (* (sqrt 1.0) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n)))))))))))) (log (* -2.0 PI)))))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ 1 (- n))))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (* (sqrt 1.0) (log (/ 1 (- n))))) (- (* +nan.0 (log (/ 1 (- n))))))))))))))) into (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (* (log (/ -1 n)) (log (* -2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2))))))))))))))))))))))))))))))))))))))))))
17.502 * * * [progress]: simplifying candidates
17.508 * [simplify]: Simplifying:
  (* (+ (log 2.0) (+ (log n) (log PI))) (+ (sqrt 1.0) (sqrt k)))
  (* (+ (log 2.0) (log (* n PI))) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k)))
  (* 1 (+ (sqrt 1.0) (sqrt k)))
  (* 1 (+ (sqrt 1.0) (sqrt k)))
  (* 1 (+ (sqrt 1.0) (sqrt k)))
  (pow (* 2.0 (* n PI)) (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))))
  (pow (* 2.0 (* n PI)) (sqrt (+ (sqrt 1.0) (sqrt k))))
  (pow (* 2.0 (* n PI)) 1)
  (pow (* 2.0 (* n PI)) (sqrt 1))
  (pow (* 2.0 (* n PI)) 1)
  (pow (* 2.0 (* n PI)) (sqrt 1.0))
  (pow (* 2.0 (* n PI)) (sqrt k))
  (pow 2.0 (+ (sqrt 1.0) (sqrt k)))
  (pow (* n PI) (+ (sqrt 1.0) (sqrt k)))
  (log (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (exp (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (* (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))))
  (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (* (* (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (sqrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (sqrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 2))
  (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 2))
  (* n PI)
  (+ (log n) (log PI))
  (log (* n PI))
  (exp (* n PI))
  (* (* (* n n) n) (* (* PI PI) PI))
  (* (cbrt (* n PI)) (cbrt (* n PI)))
  (cbrt (* n PI))
  (* (* (* n PI) (* n PI)) (* n PI))
  (sqrt (* n PI))
  (sqrt (* n PI))
  (* (sqrt n) (sqrt PI))
  (* (sqrt n) (sqrt PI))
  (* n (* (cbrt PI) (cbrt PI)))
  (* n (sqrt PI))
  (* n 1)
  (* (cbrt n) PI)
  (* (sqrt n) PI)
  (* n PI)
  (* (* (+ (log 2.0) (+ (log n) (log PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (+ (log 2.0) (log (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (log (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (log (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (+ (sqrt 1.0) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1.0) 2.0))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt k) 2.0))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1) 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 1))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) 1)
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (- (sqrt 1.0) (sqrt k)))
  (pow (pow (* 2.0 (* n PI)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow 2.0 (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* n PI) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (* (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (sqrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (sqrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow 1 (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (log (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (exp (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (* (cbrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (cbrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (* (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (sqrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (sqrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2))
  (- (+ (log 1.0) (* (* (+ (log 2.0) (+ (log n) (log PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (* (+ (log 2.0) (log (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (log (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (* (log (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log (sqrt k)))
  (- (+ (log 1.0) (log (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (log (sqrt k)))
  (- (log (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (log (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (exp (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (/ (* (* (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
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  (cbrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
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(exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2))))))))))))))))))))))))))))))))))))))))))
17.536 * * [simplify]: Extracting # 0 : cost  0
17.536 * * [simplify]: Extracting # 1 : cost  0
17.537 * * [simplify]: Extracting # 2 : cost  0
17.538 * * [simplify]: Extracting # 3 : cost  0
17.538 * * [simplify]: Extracting # 4 : cost  0
17.539 * * [simplify]: Extracting # 5 : cost  0
17.540 * * [simplify]: Extracting # 6 : cost  0
17.542 * * [simplify]: Extracting # 7 : cost  0
17.543 * * [simplify]: Extracting # 8 : cost  0
17.544 * * [simplify]: Extracting # 9 : cost  0
17.545 * * [simplify]: Extracting # 10 : cost  0
17.547 * * [simplify]: Extracting # 11 : cost  0
17.548 * * [simplify]: Extracting # 12 : cost  0
17.550 * * [simplify]: Extracting # 13 : cost  0
17.551 * * [simplify]: Extracting # 14 : cost  0
17.553 * * [simplify]: Extracting # 15 : cost  0
17.555 * * [simplify]: Extracting # 16 : cost  0
17.557 * * [simplify]: Extracting # 17 : cost  0
17.559 * * [simplify]: Extracting # 18 : cost  0
17.561 * * [simplify]: Extracting # 19 : cost  0
17.562 * * [simplify]: Extracting # 20 : cost  0
17.564 * * [simplify]: Extracting # 21 : cost  0
17.566 * * [simplify]: Extracting # 22 : cost  0
17.568 * * [simplify]: Extracting # 23 : cost  0
17.570 * * [simplify]: Extracting # 24 : cost  0
17.572 * * [simplify]: Extracting # 25 : cost  0
17.574 * * [simplify]: Extracting # 26 : cost  0
17.585 * * [simplify]: Extracting # 27 : cost  0
17.587 * * [simplify]: Extracting # 28 : cost  0
17.589 * * [simplify]: Extracting # 29 : cost  0
17.591 * * [simplify]: Extracting # 30 : cost  0
17.593 * * [simplify]: Extracting # 31 : cost  0
17.596 * * [simplify]: Extracting # 32 : cost  0
17.598 * * [simplify]: Extracting # 33 : cost  0
17.600 * * [simplify]: Extracting # 34 : cost  0
17.602 * * [simplify]: Extracting # 35 : cost  0
17.605 * * [simplify]: Extracting # 36 : cost  0
17.607 * * [simplify]: Extracting # 37 : cost  0
17.609 * * [simplify]: Extracting # 38 : cost  0
17.612 * * [simplify]: Extracting # 39 : cost  0
17.614 * * [simplify]: Extracting # 40 : cost  0
17.617 * * [simplify]: Extracting # 41 : cost  0
17.619 * * [simplify]: Extracting # 42 : cost  0
17.622 * * [simplify]: Extracting # 43 : cost  0
17.624 * * [simplify]: Extracting # 44 : cost  0
17.626 * * [simplify]: Extracting # 45 : cost  0
17.629 * * [simplify]: Extracting # 46 : cost  0
17.631 * * [simplify]: Extracting # 47 : cost  0
17.633 * * [simplify]: Extracting # 48 : cost  0
17.636 * * [simplify]: Extracting # 49 : cost  0
17.638 * * [simplify]: Extracting # 50 : cost  0
17.640 * * [simplify]: Extracting # 51 : cost  0
17.643 * * [simplify]: Extracting # 52 : cost  0
17.645 * * [simplify]: Extracting # 53 : cost  0
17.647 * * [simplify]: Extracting # 54 : cost  0
17.650 * * [simplify]: Extracting # 55 : cost  0
17.652 * * [simplify]: Extracting # 56 : cost  0
17.654 * * [simplify]: Extracting # 57 : cost  0
17.657 * * [simplify]: Extracting # 58 : cost  0
17.659 * * [simplify]: Extracting # 59 : cost  0
17.661 * * [simplify]: iteration  0 :  735  enodes  (cost  10001 )
18.012 * * [simplify]: Extracting # 0 : cost  0
18.018 * * [simplify]: Extracting # 1 : cost  0
18.026 * * [simplify]: Extracting # 2 : cost  0
18.033 * * [simplify]: Extracting # 3 : cost  0
18.041 * * [simplify]: Extracting # 4 : cost  0
18.049 * * [simplify]: Extracting # 5 : cost  0
18.059 * * [simplify]: Extracting # 6 : cost  0
18.066 * * [simplify]: Extracting # 7 : cost  0
18.081 * * [simplify]: Extracting # 8 : cost  0
18.087 * * [simplify]: Extracting # 9 : cost  0
18.093 * * [simplify]: Extracting # 10 : cost  0
18.099 * * [simplify]: Extracting # 11 : cost  0
18.105 * * [simplify]: Extracting # 12 : cost  0
18.111 * * [simplify]: Extracting # 13 : cost  0
18.117 * * [simplify]: Extracting # 14 : cost  0
18.123 * * [simplify]: Extracting # 15 : cost  0
18.129 * * [simplify]: Extracting # 16 : cost  0
18.135 * * [simplify]: Extracting # 17 : cost  0
18.142 * * [simplify]: iteration  1 :  2262  enodes  (cost  9339 )
18.925 * * [simplify]: Extracting # 0 : cost  0
18.937 * * [simplify]: Extracting # 1 : cost  0
18.964 * * [simplify]: Extracting # 2 : cost  0
18.978 * * [simplify]: Extracting # 3 : cost  0
18.992 * * [simplify]: Extracting # 4 : cost  0
19.006 * * [simplify]: Extracting # 5 : cost  0
19.021 * * [simplify]: Extracting # 6 : cost  0
19.038 * * [simplify]: Extracting # 7 : cost  0
19.054 * * [simplify]: Extracting # 8 : cost  0
19.068 * * [simplify]: Extracting # 9 : cost  0
19.083 * * [simplify]: Extracting # 10 : cost  0
19.097 * * [simplify]: Extracting # 11 : cost  0
19.111 * * [simplify]: Extracting # 12 : cost  0
19.126 * * [simplify]: Extracting # 13 : cost  0
19.140 * * [simplify]: Extracting # 14 : cost  0
19.153 * * [simplify]: iteration done:  5000  enodes  (cost  8603 )
19.157 * [simplify]: Simplified to:
  (* (log (* (* n PI) 2.0)) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* (* n PI) 2.0)) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* (* n PI) 2.0)) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* (* n PI) 2.0)) (+ (sqrt 1.0) (sqrt k)))
  (+ (sqrt 1.0) (sqrt k))
  (+ (sqrt 1.0) (sqrt k))
  (+ (sqrt 1.0) (sqrt k))
  (pow (* 2.0 (* n PI)) (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))))
  (pow (* 2.0 (* n PI)) (sqrt (+ (sqrt 1.0) (sqrt k))))
  (* (* n PI) 2.0)
  (* (* n PI) 2.0)
  (* (* n PI) 2.0)
  (pow (* 2.0 (* n PI)) (sqrt 1.0))
  (pow (* 2.0 (* n PI)) (sqrt k))
  (pow 2.0 (+ (sqrt 1.0) (sqrt k)))
  (pow (* n PI) (+ (sqrt 1.0) (sqrt k)))
  (* (log (* (* n PI) 2.0)) (+ (sqrt 1.0) (sqrt k)))
  (exp (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (* (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))))
  (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) 3)
  (sqrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (sqrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))
  (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 2))
  (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 2))
  (* n PI)
  (log (* n PI))
  (log (* n PI))
  (exp (* n PI))
  (* (pow n 3) (pow PI 3))
  (* (cbrt (* n PI)) (cbrt (* n PI)))
  (cbrt (* n PI))
  (pow (* n PI) 3)
  (sqrt (* n PI))
  (sqrt (* n PI))
  (* (sqrt n) (sqrt PI))
  (* (sqrt n) (sqrt PI))
  (* n (* (cbrt PI) (cbrt PI)))
  (* n (sqrt PI))
  n
  (* (cbrt n) PI)
  (* (sqrt n) PI)
  (* n PI)
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (+ (sqrt 1.0) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt 1.0) 2.0))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt k) 2.0))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0)))
  (pow (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (sqrt (- (sqrt 1.0) (sqrt k))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ 1 (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))
  (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (- (sqrt 1.0) (sqrt k)))
  (pow (pow (* 2.0 (* n PI)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (sqrt k)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow 2.0 (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* n PI) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (* (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (cbrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (sqrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (sqrt (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  1
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (pow (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (* (* (log (* 2.0 (* n PI))) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
  (exp (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (* (cbrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (cbrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) 3)
  (sqrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (sqrt (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2))
  (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (log (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (exp (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (/ (pow 1.0 3) (/ (* k (sqrt k)) (pow (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) 3)))
  (/ (/ (pow (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) 1.0) 3) k) (sqrt k))
  (* (cbrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))))
  (cbrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (pow (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)) 3)
  (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))
  (- (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (- (sqrt k))
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))
  (/ 1.0 (fabs (cbrt k)))
  (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (sqrt (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (sqrt (sqrt k)))
  1.0
  (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (sqrt k))
  (/ 1.0 (sqrt (sqrt k)))
  (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (sqrt (sqrt k)))
  1.0
  (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))))
  (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) 1.0) (fabs (cbrt k)))
  (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt (sqrt k)))
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+nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (/ (pow k 3) (* (log (* 2.0 PI)) (* (- (log n)) (sqrt 1.0))))) +nan.0) (- (* (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (pow k 2)) +nan.0) (- (* +nan.0 (* (/ (* (log (* 2.0 PI)) (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI)))))))))) k) (/ (sqrt 1.0) k))) (- (* +nan.0 (/ (* (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (pow (- (log n)) 2)) (pow k 3))) (- (/ (* +nan.0 (* (log (* 2.0 PI)) (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))))) (pow k 3)) (- (* +nan.0 (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (/ (pow k 3) (* (pow (log (* 2.0 PI)) 2) (sqrt 1.0))))) (- (* (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (/ (pow k 3) (- (log n)))) +nan.0) (- (/ (* +nan.0 (* (* (- (log n)) (sqrt 1.0)) (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))))) (pow k 3)) (- (* (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (/ (pow k 3) (* (sqrt 1.0) (pow (- (log n)) 2)))) +nan.0) (- (* (/ +nan.0 k) (/ (* (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (- (log n))) k)) (- (/ (* +nan.0 (* (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (* 1.0 (pow (log (* 2.0 PI)) 2)))) (pow k 3)) (- (* +nan.0 (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (/ (pow k 3) (* (log (* 2.0 PI)) (sqrt 1.0))))) (- (* (* (/ (* (- (log n)) (sqrt 1.0)) k) (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) k)) +nan.0) (- (* (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (/ (pow k 3) (* (log (* 2.0 PI)) (- (log n))))) +nan.0) (- (* (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) k) +nan.0) (- (* (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (pow k 3)) +nan.0) (* +nan.0 (/ (exp (- (* (* 0.5 (log (* 2.0 PI))) 1.0) (- (* (* 1.0 (- (log n))) 0.5) (- (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (- (* +nan.0 (- (log n))) (- (* +nan.0 (* (- (log n)) (sqrt 1.0))) (* +nan.0 (log (* 2.0 PI))))))))) (/ (pow k 3) (* (pow (- (log n)) 2) 1.0)))))))))))))))))))))))
  (+ (* (- +nan.0) (* (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) k) (/ (pow (log (* -2.0 PI)) 2) k))) (- (* (/ +nan.0 k) (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) k)) (- (/ (* +nan.0 (* (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) (* (sqrt 1.0) (pow (log (/ -1 n)) 2)))) (pow k 2)) (- (* (/ +nan.0 k) (/ (* (* (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) (sqrt 1.0)) (log (/ -1 n))) k)) (- (* (/ +nan.0 k) (/ (* (log (* -2.0 PI)) (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))) k)) (- (* (* (/ (* (sqrt 1.0) (* (log (/ -1 n)) (log (* -2.0 PI)))) k) (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) k)) +nan.0) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))) k)) (- (/ (* +nan.0 (* (* (sqrt 1.0) (log (* -2.0 PI))) (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))) k) (- (* +nan.0 (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) (/ k (* (sqrt 1.0) (log (/ -1 n)))))) (- (* +nan.0 (* (/ (* (sqrt 1.0) (log (* -2.0 PI))) k) (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) k))) (- (* +nan.0 (* (/ (* (* 1.0 (log (/ -1 n))) (log (* -2.0 PI))) k) (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* 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(log (/ -1 n))))))))) k)) +nan.0) (- (* +nan.0 (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))) (- (/ (* +nan.0 (* (* 1.0 (pow (log (/ -1 n)) 2)) (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))))) (pow k 2)) (- (* +nan.0 (* (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) k) (/ (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2)) k))) (- (* +nan.0 (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) k)) (- (* (/ (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n))))))))) (/ (pow k 2) (pow (log (/ -1 n)) 2))) +nan.0) (* +nan.0 (/ (* (* (log (* -2.0 PI)) (exp (- (- (* (* (log (* -2.0 PI)) 1.0) 0.5) (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI))))) (- (* (* 0.5 1.0) (log (/ -1 n))) (- (* +nan.0 (log (* -2.0 PI))) (- (* +nan.0 (log (/ -1 n))) (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))) (log (/ -1 n))) (pow k 2))))))))))))))))))))))
19.159 * * * [progress]: adding candidates to table
20.414 * * [progress]: iteration 4 / 4
20.414 * * * [progress]: picking best candidate
20.471 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
20.471 * * * [progress]: localizing error
20.507 * * * [progress]: generating rewritten candidates
20.507 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
20.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
20.573 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
20.611 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
20.678 * * * [progress]: generating series expansions
20.678 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
20.679 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
20.679 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
20.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
20.679 * [taylor]: Taking taylor expansion of 2.0 in n
20.679 * [backup-simplify]: Simplify 2.0 into 2.0
20.679 * [taylor]: Taking taylor expansion of (* n PI) in n
20.679 * [taylor]: Taking taylor expansion of n in n
20.679 * [backup-simplify]: Simplify 0 into 0
20.679 * [backup-simplify]: Simplify 1 into 1
20.679 * [taylor]: Taking taylor expansion of PI in n
20.679 * [backup-simplify]: Simplify PI into PI
20.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
20.679 * [taylor]: Taking taylor expansion of 2.0 in n
20.679 * [backup-simplify]: Simplify 2.0 into 2.0
20.679 * [taylor]: Taking taylor expansion of (* n PI) in n
20.679 * [taylor]: Taking taylor expansion of n in n
20.679 * [backup-simplify]: Simplify 0 into 0
20.679 * [backup-simplify]: Simplify 1 into 1
20.679 * [taylor]: Taking taylor expansion of PI in n
20.679 * [backup-simplify]: Simplify PI into PI
20.680 * [backup-simplify]: Simplify (* 0 PI) into 0
20.681 * [backup-simplify]: Simplify (* 2.0 0) into 0
20.681 * [backup-simplify]: Simplify 0 into 0
20.683 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.684 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
20.685 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
20.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
20.687 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
20.687 * [backup-simplify]: Simplify 0 into 0
20.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
20.689 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
20.689 * [backup-simplify]: Simplify 0 into 0
20.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
20.692 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
20.692 * [backup-simplify]: Simplify 0 into 0
20.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
20.695 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
20.695 * [backup-simplify]: Simplify 0 into 0
20.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
20.698 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
20.698 * [backup-simplify]: Simplify 0 into 0
20.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
20.702 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
20.702 * [backup-simplify]: Simplify 0 into 0
20.702 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
20.703 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
20.703 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
20.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
20.703 * [taylor]: Taking taylor expansion of 2.0 in n
20.703 * [backup-simplify]: Simplify 2.0 into 2.0
20.703 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.703 * [taylor]: Taking taylor expansion of PI in n
20.703 * [backup-simplify]: Simplify PI into PI
20.703 * [taylor]: Taking taylor expansion of n in n
20.703 * [backup-simplify]: Simplify 0 into 0
20.703 * [backup-simplify]: Simplify 1 into 1
20.704 * [backup-simplify]: Simplify (/ PI 1) into PI
20.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
20.704 * [taylor]: Taking taylor expansion of 2.0 in n
20.704 * [backup-simplify]: Simplify 2.0 into 2.0
20.704 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.704 * [taylor]: Taking taylor expansion of PI in n
20.704 * [backup-simplify]: Simplify PI into PI
20.704 * [taylor]: Taking taylor expansion of n in n
20.704 * [backup-simplify]: Simplify 0 into 0
20.704 * [backup-simplify]: Simplify 1 into 1
20.704 * [backup-simplify]: Simplify (/ PI 1) into PI
20.705 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
20.705 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
20.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.707 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
20.707 * [backup-simplify]: Simplify 0 into 0
20.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.709 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
20.709 * [backup-simplify]: Simplify 0 into 0
20.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.711 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.712 * [backup-simplify]: Simplify 0 into 0
20.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.714 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
20.714 * [backup-simplify]: Simplify 0 into 0
20.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.716 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
20.716 * [backup-simplify]: Simplify 0 into 0
20.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.719 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
20.719 * [backup-simplify]: Simplify 0 into 0
20.719 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
20.720 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
20.720 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
20.720 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
20.720 * [taylor]: Taking taylor expansion of -2.0 in n
20.720 * [backup-simplify]: Simplify -2.0 into -2.0
20.720 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.720 * [taylor]: Taking taylor expansion of PI in n
20.720 * [backup-simplify]: Simplify PI into PI
20.720 * [taylor]: Taking taylor expansion of n in n
20.720 * [backup-simplify]: Simplify 0 into 0
20.720 * [backup-simplify]: Simplify 1 into 1
20.721 * [backup-simplify]: Simplify (/ PI 1) into PI
20.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
20.721 * [taylor]: Taking taylor expansion of -2.0 in n
20.721 * [backup-simplify]: Simplify -2.0 into -2.0
20.721 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.721 * [taylor]: Taking taylor expansion of PI in n
20.721 * [backup-simplify]: Simplify PI into PI
20.721 * [taylor]: Taking taylor expansion of n in n
20.721 * [backup-simplify]: Simplify 0 into 0
20.721 * [backup-simplify]: Simplify 1 into 1
20.722 * [backup-simplify]: Simplify (/ PI 1) into PI
20.722 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
20.723 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
20.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.724 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
20.724 * [backup-simplify]: Simplify 0 into 0
20.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.727 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
20.727 * [backup-simplify]: Simplify 0 into 0
20.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.729 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.729 * [backup-simplify]: Simplify 0 into 0
20.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.731 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
20.732 * [backup-simplify]: Simplify 0 into 0
20.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.734 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
20.734 * [backup-simplify]: Simplify 0 into 0
20.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.737 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
20.737 * [backup-simplify]: Simplify 0 into 0
20.738 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
20.738 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
20.739 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))
20.739 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0
20.739 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n
20.739 * [taylor]: Taking taylor expansion of (sqrt k) in n
20.739 * [taylor]: Taking taylor expansion of k in n
20.739 * [backup-simplify]: Simplify k into k
20.739 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
20.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
20.739 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n
20.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
20.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
20.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
20.739 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
20.739 * [taylor]: Taking taylor expansion of 0.5 in n
20.739 * [backup-simplify]: Simplify 0.5 into 0.5
20.739 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
20.739 * [taylor]: Taking taylor expansion of 1.0 in n
20.739 * [backup-simplify]: Simplify 1.0 into 1.0
20.739 * [taylor]: Taking taylor expansion of k in n
20.739 * [backup-simplify]: Simplify k into k
20.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
20.739 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
20.739 * [taylor]: Taking taylor expansion of 2.0 in n
20.739 * [backup-simplify]: Simplify 2.0 into 2.0
20.740 * [taylor]: Taking taylor expansion of (* n PI) in n
20.740 * [taylor]: Taking taylor expansion of n in n
20.740 * [backup-simplify]: Simplify 0 into 0
20.740 * [backup-simplify]: Simplify 1 into 1
20.740 * [taylor]: Taking taylor expansion of PI in n
20.740 * [backup-simplify]: Simplify PI into PI
20.740 * [backup-simplify]: Simplify (* 0 PI) into 0
20.741 * [backup-simplify]: Simplify (* 2.0 0) into 0
20.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.744 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
20.745 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
20.745 * [backup-simplify]: Simplify (- k) into (- k)
20.745 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
20.745 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
20.746 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
20.747 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
20.749 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
20.750 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))
20.750 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
20.750 * [taylor]: Taking taylor expansion of (sqrt k) in k
20.750 * [taylor]: Taking taylor expansion of k in k
20.750 * [backup-simplify]: Simplify 0 into 0
20.750 * [backup-simplify]: Simplify 1 into 1
20.750 * [backup-simplify]: Simplify (sqrt 0) into 0
20.752 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
20.752 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
20.752 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
20.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
20.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
20.752 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
20.752 * [taylor]: Taking taylor expansion of 0.5 in k
20.752 * [backup-simplify]: Simplify 0.5 into 0.5
20.752 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
20.752 * [taylor]: Taking taylor expansion of 1.0 in k
20.752 * [backup-simplify]: Simplify 1.0 into 1.0
20.752 * [taylor]: Taking taylor expansion of k in k
20.752 * [backup-simplify]: Simplify 0 into 0
20.752 * [backup-simplify]: Simplify 1 into 1
20.752 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
20.752 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
20.752 * [taylor]: Taking taylor expansion of 2.0 in k
20.752 * [backup-simplify]: Simplify 2.0 into 2.0
20.752 * [taylor]: Taking taylor expansion of (* n PI) in k
20.752 * [taylor]: Taking taylor expansion of n in k
20.752 * [backup-simplify]: Simplify n into n
20.752 * [taylor]: Taking taylor expansion of PI in k
20.752 * [backup-simplify]: Simplify PI into PI
20.752 * [backup-simplify]: Simplify (* n PI) into (* n PI)
20.752 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
20.752 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
20.753 * [backup-simplify]: Simplify (- 0) into 0
20.753 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
20.754 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
20.754 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
20.754 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
20.754 * [backup-simplify]: Simplify (/ 1 (pow (* 2.0 (* n PI)) 0.5)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)
20.754 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
20.754 * [taylor]: Taking taylor expansion of (sqrt k) in k
20.754 * [taylor]: Taking taylor expansion of k in k
20.754 * [backup-simplify]: Simplify 0 into 0
20.754 * [backup-simplify]: Simplify 1 into 1
20.755 * [backup-simplify]: Simplify (sqrt 0) into 0
20.756 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
20.756 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
20.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
20.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
20.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
20.756 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
20.756 * [taylor]: Taking taylor expansion of 0.5 in k
20.756 * [backup-simplify]: Simplify 0.5 into 0.5
20.756 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
20.756 * [taylor]: Taking taylor expansion of 1.0 in k
20.756 * [backup-simplify]: Simplify 1.0 into 1.0
20.756 * [taylor]: Taking taylor expansion of k in k
20.756 * [backup-simplify]: Simplify 0 into 0
20.756 * [backup-simplify]: Simplify 1 into 1
20.756 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
20.756 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
20.757 * [taylor]: Taking taylor expansion of 2.0 in k
20.757 * [backup-simplify]: Simplify 2.0 into 2.0
20.757 * [taylor]: Taking taylor expansion of (* n PI) in k
20.757 * [taylor]: Taking taylor expansion of n in k
20.757 * [backup-simplify]: Simplify n into n
20.757 * [taylor]: Taking taylor expansion of PI in k
20.757 * [backup-simplify]: Simplify PI into PI
20.757 * [backup-simplify]: Simplify (* n PI) into (* n PI)
20.757 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
20.757 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
20.757 * [backup-simplify]: Simplify (- 0) into 0
20.758 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
20.758 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
20.758 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
20.758 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
20.759 * [backup-simplify]: Simplify (/ 1 (pow (* 2.0 (* n PI)) 0.5)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)
20.760 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) into 0
20.760 * [taylor]: Taking taylor expansion of 0 in n
20.760 * [backup-simplify]: Simplify 0 into 0
20.760 * [backup-simplify]: Simplify 0 into 0
20.761 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
20.761 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0
20.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0
20.763 * [backup-simplify]: Simplify (- 1) into -1
20.763 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.764 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
20.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI)))))
20.766 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
20.769 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))
20.772 * [backup-simplify]: Simplify (+ (* 0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
20.772 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n
20.772 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
20.772 * [taylor]: Taking taylor expansion of +nan.0 in n
20.773 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.773 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
20.773 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
20.773 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
20.773 * [taylor]: Taking taylor expansion of 0.5 in n
20.773 * [backup-simplify]: Simplify 0.5 into 0.5
20.773 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
20.773 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
20.773 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
20.773 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
20.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
20.773 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
20.773 * [taylor]: Taking taylor expansion of 1.0 in n
20.773 * [backup-simplify]: Simplify 1.0 into 1.0
20.773 * [taylor]: Taking taylor expansion of (log PI) in n
20.773 * [taylor]: Taking taylor expansion of PI in n
20.773 * [backup-simplify]: Simplify PI into PI
20.774 * [backup-simplify]: Simplify (log PI) into (log PI)
20.775 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
20.778 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
20.778 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
20.778 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
20.778 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
20.778 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
20.778 * [taylor]: Taking taylor expansion of 1.0 in n
20.778 * [backup-simplify]: Simplify 1.0 into 1.0
20.778 * [taylor]: Taking taylor expansion of (log n) in n
20.778 * [taylor]: Taking taylor expansion of n in n
20.778 * [backup-simplify]: Simplify 0 into 0
20.778 * [backup-simplify]: Simplify 1 into 1
20.779 * [backup-simplify]: Simplify (log 1) into 0
20.780 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.780 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
20.780 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
20.780 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
20.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
20.780 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
20.780 * [taylor]: Taking taylor expansion of 1.0 in n
20.780 * [backup-simplify]: Simplify 1.0 into 1.0
20.780 * [taylor]: Taking taylor expansion of (log 2.0) in n
20.780 * [taylor]: Taking taylor expansion of 2.0 in n
20.780 * [backup-simplify]: Simplify 2.0 into 2.0
20.781 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
20.782 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
20.784 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
20.786 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
20.788 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
20.790 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
20.792 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
20.794 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
20.796 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
20.797 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
20.799 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
20.810 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
20.810 * [backup-simplify]: Simplify 0 into 0
20.811 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
20.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
20.814 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0
20.814 * [backup-simplify]: Simplify (- 0) into 0
20.815 * [backup-simplify]: Simplify (+ 0 0) into 0
20.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
20.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0
20.818 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
20.826 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))) (* (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))
20.830 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
20.838 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))
20.838 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n
20.838 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n
20.838 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n
20.839 * [taylor]: Taking taylor expansion of +nan.0 in n
20.839 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.839 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n
20.839 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n
20.839 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
20.839 * [taylor]: Taking taylor expansion of 0.5 in n
20.839 * [backup-simplify]: Simplify 0.5 into 0.5
20.839 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
20.839 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
20.839 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
20.839 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
20.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
20.839 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
20.839 * [taylor]: Taking taylor expansion of 1.0 in n
20.839 * [backup-simplify]: Simplify 1.0 into 1.0
20.839 * [taylor]: Taking taylor expansion of (log 2.0) in n
20.839 * [taylor]: Taking taylor expansion of 2.0 in n
20.839 * [backup-simplify]: Simplify 2.0 into 2.0
20.840 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
20.841 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
20.842 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
20.842 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
20.842 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
20.842 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
20.842 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
20.842 * [taylor]: Taking taylor expansion of 1.0 in n
20.842 * [backup-simplify]: Simplify 1.0 into 1.0
20.842 * [taylor]: Taking taylor expansion of (log n) in n
20.842 * [taylor]: Taking taylor expansion of n in n
20.842 * [backup-simplify]: Simplify 0 into 0
20.842 * [backup-simplify]: Simplify 1 into 1
20.843 * [backup-simplify]: Simplify (log 1) into 0
20.843 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.843 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
20.843 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
20.843 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
20.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
20.843 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
20.844 * [taylor]: Taking taylor expansion of 1.0 in n
20.844 * [backup-simplify]: Simplify 1.0 into 1.0
20.844 * [taylor]: Taking taylor expansion of (log PI) in n
20.844 * [taylor]: Taking taylor expansion of PI in n
20.844 * [backup-simplify]: Simplify PI into PI
20.844 * [backup-simplify]: Simplify (log PI) into (log PI)
20.845 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
20.847 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
20.848 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
20.849 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
20.850 * [backup-simplify]: Simplify (/ 1 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)
20.851 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))
20.852 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0)))
20.853 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
20.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n
20.853 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n
20.853 * [taylor]: Taking taylor expansion of +nan.0 in n
20.853 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.853 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
20.853 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
20.854 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
20.854 * [taylor]: Taking taylor expansion of 2.0 in n
20.854 * [backup-simplify]: Simplify 2.0 into 2.0
20.854 * [taylor]: Taking taylor expansion of (* n PI) in n
20.854 * [taylor]: Taking taylor expansion of n in n
20.854 * [backup-simplify]: Simplify 0 into 0
20.854 * [backup-simplify]: Simplify 1 into 1
20.854 * [taylor]: Taking taylor expansion of PI in n
20.854 * [backup-simplify]: Simplify PI into PI
20.855 * [backup-simplify]: Simplify (* 0 PI) into 0
20.855 * [backup-simplify]: Simplify (* 2.0 0) into 0
20.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.859 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
20.860 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
20.860 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
20.860 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
20.860 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
20.860 * [taylor]: Taking taylor expansion of 0.5 in n
20.860 * [backup-simplify]: Simplify 0.5 into 0.5
20.860 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
20.861 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
20.861 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
20.861 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
20.861 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
20.861 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
20.861 * [taylor]: Taking taylor expansion of 1.0 in n
20.861 * [backup-simplify]: Simplify 1.0 into 1.0
20.861 * [taylor]: Taking taylor expansion of (log PI) in n
20.861 * [taylor]: Taking taylor expansion of PI in n
20.861 * [backup-simplify]: Simplify PI into PI
20.861 * [backup-simplify]: Simplify (log PI) into (log PI)
20.863 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
20.864 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
20.864 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
20.864 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
20.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
20.864 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
20.864 * [taylor]: Taking taylor expansion of 1.0 in n
20.864 * [backup-simplify]: Simplify 1.0 into 1.0
20.864 * [taylor]: Taking taylor expansion of (log n) in n
20.865 * [taylor]: Taking taylor expansion of n in n
20.865 * [backup-simplify]: Simplify 0 into 0
20.865 * [backup-simplify]: Simplify 1 into 1
20.865 * [backup-simplify]: Simplify (log 1) into 0
20.865 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.865 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
20.866 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
20.866 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
20.866 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
20.866 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
20.866 * [taylor]: Taking taylor expansion of 1.0 in n
20.866 * [backup-simplify]: Simplify 1.0 into 1.0
20.866 * [taylor]: Taking taylor expansion of (log 2.0) in n
20.866 * [taylor]: Taking taylor expansion of 2.0 in n
20.866 * [backup-simplify]: Simplify 2.0 into 2.0
20.866 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
20.867 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
20.869 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
20.870 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
20.871 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
20.872 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
20.874 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
20.875 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
20.877 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
20.879 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))
20.880 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
20.883 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
20.886 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
20.888 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))
20.894 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))
20.901 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))
20.907 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))
20.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
20.910 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
20.912 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
20.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.913 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.914 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
20.915 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
20.916 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
20.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
20.918 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
20.920 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
20.921 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
20.924 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) (/ 0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0))))) into 0
20.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1)))) 1) into 0
20.928 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0)))) into 0
20.930 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.932 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0
20.933 * [backup-simplify]: Simplify (- 0) into 0
20.933 * [backup-simplify]: Simplify 0 into 0
20.933 * [backup-simplify]: Simplify 0 into 0
20.934 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.935 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
20.938 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0
20.939 * [backup-simplify]: Simplify (- 0) into 0
20.939 * [backup-simplify]: Simplify (+ 0 0) into 0
20.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0
20.942 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0
20.944 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
20.958 * [backup-simplify]: Simplify (- (+ (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (/ (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))) (* (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) (/ (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))) (* (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) (/ (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (pow (* 2.0 (* n PI)) 0.5))))) into (* 0.020833333333333332 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 3)))
20.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
20.982 * [backup-simplify]: Simplify (+ (* 0 (* 0.020833333333333332 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 3)))) (+ (* +nan.0 (- (* 0.25 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.125 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) (+ (* +nan.0 (* 0.5 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) into (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))
20.983 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))) in n
20.983 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) in n
20.983 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
20.983 * [taylor]: Taking taylor expansion of +nan.0 in n
20.983 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.983 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
20.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
20.983 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
20.983 * [taylor]: Taking taylor expansion of 0.5 in n
20.983 * [backup-simplify]: Simplify 0.5 into 0.5
20.983 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
20.983 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
20.983 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
20.983 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
20.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
20.983 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
20.983 * [taylor]: Taking taylor expansion of 1.0 in n
20.983 * [backup-simplify]: Simplify 1.0 into 1.0
20.983 * [taylor]: Taking taylor expansion of (log PI) in n
20.983 * [taylor]: Taking taylor expansion of PI in n
20.983 * [backup-simplify]: Simplify PI into PI
20.984 * [backup-simplify]: Simplify (log PI) into (log PI)
20.985 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
20.987 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
20.987 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
20.987 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
20.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
20.987 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
20.987 * [taylor]: Taking taylor expansion of 1.0 in n
20.987 * [backup-simplify]: Simplify 1.0 into 1.0
20.987 * [taylor]: Taking taylor expansion of (log n) in n
20.987 * [taylor]: Taking taylor expansion of n in n
20.987 * [backup-simplify]: Simplify 0 into 0
20.987 * [backup-simplify]: Simplify 1 into 1
20.988 * [backup-simplify]: Simplify (log 1) into 0
20.988 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.988 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
20.989 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
20.989 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
20.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
20.989 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
20.989 * [taylor]: Taking taylor expansion of 1.0 in n
20.989 * [backup-simplify]: Simplify 1.0 into 1.0
20.989 * [taylor]: Taking taylor expansion of (log 2.0) in n
20.989 * [taylor]: Taking taylor expansion of 2.0 in n
20.989 * [backup-simplify]: Simplify 2.0 into 2.0
20.989 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
20.990 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
20.991 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
20.992 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
20.993 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
20.995 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
20.996 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
20.998 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
21.000 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
21.000 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n
21.000 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n
21.000 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n
21.000 * [taylor]: Taking taylor expansion of +nan.0 in n
21.000 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.000 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n
21.000 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n
21.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n
21.000 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
21.000 * [taylor]: Taking taylor expansion of 0.5 in n
21.000 * [backup-simplify]: Simplify 0.5 into 0.5
21.000 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
21.000 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
21.000 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
21.000 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
21.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
21.000 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
21.001 * [taylor]: Taking taylor expansion of 1.0 in n
21.001 * [backup-simplify]: Simplify 1.0 into 1.0
21.001 * [taylor]: Taking taylor expansion of (log 2.0) in n
21.001 * [taylor]: Taking taylor expansion of 2.0 in n
21.001 * [backup-simplify]: Simplify 2.0 into 2.0
21.001 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
21.002 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
21.004 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
21.004 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
21.004 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
21.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
21.004 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
21.004 * [taylor]: Taking taylor expansion of 1.0 in n
21.004 * [backup-simplify]: Simplify 1.0 into 1.0
21.004 * [taylor]: Taking taylor expansion of (log PI) in n
21.004 * [taylor]: Taking taylor expansion of PI in n
21.004 * [backup-simplify]: Simplify PI into PI
21.004 * [backup-simplify]: Simplify (log PI) into (log PI)
21.005 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
21.007 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
21.007 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
21.007 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
21.007 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
21.008 * [taylor]: Taking taylor expansion of 1.0 in n
21.008 * [backup-simplify]: Simplify 1.0 into 1.0
21.008 * [taylor]: Taking taylor expansion of (log n) in n
21.008 * [taylor]: Taking taylor expansion of n in n
21.008 * [backup-simplify]: Simplify 0 into 0
21.008 * [backup-simplify]: Simplify 1 into 1
21.008 * [backup-simplify]: Simplify (log 1) into 0
21.009 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.009 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
21.009 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
21.009 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
21.011 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
21.012 * [backup-simplify]: Simplify (/ 1 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)
21.014 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))
21.015 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0)))
21.017 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
21.017 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
21.017 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
21.017 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.017 * [taylor]: Taking taylor expansion of 2.0 in n
21.017 * [backup-simplify]: Simplify 2.0 into 2.0
21.017 * [taylor]: Taking taylor expansion of (* n PI) in n
21.017 * [taylor]: Taking taylor expansion of n in n
21.017 * [backup-simplify]: Simplify 0 into 0
21.017 * [backup-simplify]: Simplify 1 into 1
21.017 * [taylor]: Taking taylor expansion of PI in n
21.017 * [backup-simplify]: Simplify PI into PI
21.018 * [backup-simplify]: Simplify (* 0 PI) into 0
21.018 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.021 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
21.022 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.024 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n
21.024 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n
21.024 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n
21.024 * [taylor]: Taking taylor expansion of +nan.0 in n
21.024 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.024 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
21.024 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
21.024 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.024 * [taylor]: Taking taylor expansion of 2.0 in n
21.024 * [backup-simplify]: Simplify 2.0 into 2.0
21.024 * [taylor]: Taking taylor expansion of (* n PI) in n
21.024 * [taylor]: Taking taylor expansion of n in n
21.024 * [backup-simplify]: Simplify 0 into 0
21.024 * [backup-simplify]: Simplify 1 into 1
21.024 * [taylor]: Taking taylor expansion of PI in n
21.024 * [backup-simplify]: Simplify PI into PI
21.025 * [backup-simplify]: Simplify (* 0 PI) into 0
21.025 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.027 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.028 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
21.029 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.029 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
21.029 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
21.030 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
21.030 * [taylor]: Taking taylor expansion of 0.5 in n
21.030 * [backup-simplify]: Simplify 0.5 into 0.5
21.030 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
21.030 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
21.030 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
21.030 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
21.030 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
21.030 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
21.030 * [taylor]: Taking taylor expansion of 1.0 in n
21.030 * [backup-simplify]: Simplify 1.0 into 1.0
21.030 * [taylor]: Taking taylor expansion of (log PI) in n
21.030 * [taylor]: Taking taylor expansion of PI in n
21.030 * [backup-simplify]: Simplify PI into PI
21.030 * [backup-simplify]: Simplify (log PI) into (log PI)
21.031 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
21.033 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
21.033 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
21.033 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
21.033 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
21.033 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
21.034 * [taylor]: Taking taylor expansion of 1.0 in n
21.034 * [backup-simplify]: Simplify 1.0 into 1.0
21.034 * [taylor]: Taking taylor expansion of (log n) in n
21.034 * [taylor]: Taking taylor expansion of n in n
21.034 * [backup-simplify]: Simplify 0 into 0
21.034 * [backup-simplify]: Simplify 1 into 1
21.034 * [backup-simplify]: Simplify (log 1) into 0
21.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.035 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
21.035 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
21.035 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
21.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
21.035 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
21.035 * [taylor]: Taking taylor expansion of 1.0 in n
21.035 * [backup-simplify]: Simplify 1.0 into 1.0
21.035 * [taylor]: Taking taylor expansion of (log 2.0) in n
21.035 * [taylor]: Taking taylor expansion of 2.0 in n
21.035 * [backup-simplify]: Simplify 2.0 into 2.0
21.035 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
21.036 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
21.038 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
21.038 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
21.040 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
21.041 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
21.042 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
21.044 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
21.045 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
21.045 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n
21.045 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n
21.045 * [taylor]: Taking taylor expansion of +nan.0 in n
21.045 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.045 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n
21.045 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
21.046 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
21.046 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.046 * [taylor]: Taking taylor expansion of 2.0 in n
21.046 * [backup-simplify]: Simplify 2.0 into 2.0
21.046 * [taylor]: Taking taylor expansion of (* n PI) in n
21.046 * [taylor]: Taking taylor expansion of n in n
21.046 * [backup-simplify]: Simplify 0 into 0
21.046 * [backup-simplify]: Simplify 1 into 1
21.046 * [taylor]: Taking taylor expansion of PI in n
21.046 * [backup-simplify]: Simplify PI into PI
21.046 * [backup-simplify]: Simplify (* 0 PI) into 0
21.047 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.050 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
21.051 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.053 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.053 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n
21.053 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n
21.053 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
21.053 * [taylor]: Taking taylor expansion of 0.5 in n
21.053 * [backup-simplify]: Simplify 0.5 into 0.5
21.053 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
21.053 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
21.053 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
21.053 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
21.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
21.053 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
21.053 * [taylor]: Taking taylor expansion of 1.0 in n
21.053 * [backup-simplify]: Simplify 1.0 into 1.0
21.053 * [taylor]: Taking taylor expansion of (log PI) in n
21.053 * [taylor]: Taking taylor expansion of PI in n
21.053 * [backup-simplify]: Simplify PI into PI
21.054 * [backup-simplify]: Simplify (log PI) into (log PI)
21.055 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
21.056 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
21.056 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
21.056 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
21.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
21.057 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
21.057 * [taylor]: Taking taylor expansion of 1.0 in n
21.057 * [backup-simplify]: Simplify 1.0 into 1.0
21.057 * [taylor]: Taking taylor expansion of (log n) in n
21.057 * [taylor]: Taking taylor expansion of n in n
21.057 * [backup-simplify]: Simplify 0 into 0
21.057 * [backup-simplify]: Simplify 1 into 1
21.057 * [backup-simplify]: Simplify (log 1) into 0
21.058 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.058 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
21.058 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
21.058 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
21.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
21.058 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
21.058 * [taylor]: Taking taylor expansion of 1.0 in n
21.058 * [backup-simplify]: Simplify 1.0 into 1.0
21.058 * [taylor]: Taking taylor expansion of (log 2.0) in n
21.058 * [taylor]: Taking taylor expansion of 2.0 in n
21.058 * [backup-simplify]: Simplify 2.0 into 2.0
21.058 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
21.059 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
21.061 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
21.061 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
21.063 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
21.064 * [backup-simplify]: Simplify (/ 1 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)
21.066 * [backup-simplify]: Simplify (log (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0)) into (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))
21.067 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))
21.069 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)
21.072 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
21.074 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.076 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.078 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
21.082 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))
21.086 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))
21.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.090 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
21.093 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
21.095 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.096 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.098 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
21.101 * [backup-simplify]: Simplify (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (pow (pow (pow (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))
21.104 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))
21.107 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))
21.120 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))
21.137 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))
21.165 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))
21.186 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))
21.210 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))
21.234 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))
21.259 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))))))
21.301 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))) (pow (* 1 k) 3)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (log n) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* 1 k)))) into (- (+ (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))))))))))))))))))))))))
21.303 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))
21.303 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0
21.303 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
21.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
21.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.303 * [taylor]: Taking taylor expansion of k in n
21.303 * [backup-simplify]: Simplify k into k
21.303 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.303 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
21.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
21.303 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
21.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
21.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
21.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
21.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
21.304 * [taylor]: Taking taylor expansion of 0.5 in n
21.304 * [backup-simplify]: Simplify 0.5 into 0.5
21.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
21.304 * [taylor]: Taking taylor expansion of 1.0 in n
21.304 * [backup-simplify]: Simplify 1.0 into 1.0
21.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.304 * [taylor]: Taking taylor expansion of k in n
21.304 * [backup-simplify]: Simplify k into k
21.304 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.304 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
21.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
21.304 * [taylor]: Taking taylor expansion of 2.0 in n
21.304 * [backup-simplify]: Simplify 2.0 into 2.0
21.304 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.304 * [taylor]: Taking taylor expansion of PI in n
21.304 * [backup-simplify]: Simplify PI into PI
21.304 * [taylor]: Taking taylor expansion of n in n
21.304 * [backup-simplify]: Simplify 0 into 0
21.304 * [backup-simplify]: Simplify 1 into 1
21.305 * [backup-simplify]: Simplify (/ PI 1) into PI
21.305 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.306 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.307 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
21.307 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
21.307 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
21.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.310 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
21.311 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
21.312 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
21.312 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
21.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
21.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.313 * [taylor]: Taking taylor expansion of k in k
21.313 * [backup-simplify]: Simplify 0 into 0
21.313 * [backup-simplify]: Simplify 1 into 1
21.313 * [backup-simplify]: Simplify (/ 1 1) into 1
21.313 * [backup-simplify]: Simplify (sqrt 0) into 0
21.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
21.315 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
21.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
21.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
21.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
21.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
21.315 * [taylor]: Taking taylor expansion of 0.5 in k
21.315 * [backup-simplify]: Simplify 0.5 into 0.5
21.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
21.315 * [taylor]: Taking taylor expansion of 1.0 in k
21.315 * [backup-simplify]: Simplify 1.0 into 1.0
21.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.315 * [taylor]: Taking taylor expansion of k in k
21.315 * [backup-simplify]: Simplify 0 into 0
21.315 * [backup-simplify]: Simplify 1 into 1
21.316 * [backup-simplify]: Simplify (/ 1 1) into 1
21.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
21.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
21.316 * [taylor]: Taking taylor expansion of 2.0 in k
21.316 * [backup-simplify]: Simplify 2.0 into 2.0
21.316 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.316 * [taylor]: Taking taylor expansion of PI in k
21.316 * [backup-simplify]: Simplify PI into PI
21.316 * [taylor]: Taking taylor expansion of n in k
21.316 * [backup-simplify]: Simplify n into n
21.316 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.316 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
21.316 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
21.317 * [backup-simplify]: Simplify (- 1) into -1
21.317 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.318 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
21.318 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
21.318 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
21.318 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))
21.318 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
21.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
21.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.318 * [taylor]: Taking taylor expansion of k in k
21.318 * [backup-simplify]: Simplify 0 into 0
21.318 * [backup-simplify]: Simplify 1 into 1
21.319 * [backup-simplify]: Simplify (/ 1 1) into 1
21.319 * [backup-simplify]: Simplify (sqrt 0) into 0
21.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
21.321 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
21.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
21.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
21.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
21.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
21.321 * [taylor]: Taking taylor expansion of 0.5 in k
21.321 * [backup-simplify]: Simplify 0.5 into 0.5
21.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
21.321 * [taylor]: Taking taylor expansion of 1.0 in k
21.321 * [backup-simplify]: Simplify 1.0 into 1.0
21.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.321 * [taylor]: Taking taylor expansion of k in k
21.321 * [backup-simplify]: Simplify 0 into 0
21.321 * [backup-simplify]: Simplify 1 into 1
21.322 * [backup-simplify]: Simplify (/ 1 1) into 1
21.322 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
21.322 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
21.322 * [taylor]: Taking taylor expansion of 2.0 in k
21.322 * [backup-simplify]: Simplify 2.0 into 2.0
21.322 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.322 * [taylor]: Taking taylor expansion of PI in k
21.322 * [backup-simplify]: Simplify PI into PI
21.322 * [taylor]: Taking taylor expansion of n in k
21.322 * [backup-simplify]: Simplify n into n
21.322 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.322 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
21.323 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
21.323 * [backup-simplify]: Simplify (- 1) into -1
21.324 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.325 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
21.325 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
21.325 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
21.326 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))
21.326 * [backup-simplify]: Simplify (* 0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into 0
21.326 * [taylor]: Taking taylor expansion of 0 in n
21.326 * [backup-simplify]: Simplify 0 into 0
21.326 * [backup-simplify]: Simplify 0 into 0
21.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0
21.328 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))
21.328 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n
21.328 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
21.328 * [taylor]: Taking taylor expansion of +nan.0 in n
21.328 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.328 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
21.328 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
21.328 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
21.329 * [taylor]: Taking taylor expansion of 0.5 in n
21.329 * [backup-simplify]: Simplify 0.5 into 0.5
21.329 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
21.329 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
21.329 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
21.329 * [taylor]: Taking taylor expansion of 2.0 in n
21.329 * [backup-simplify]: Simplify 2.0 into 2.0
21.329 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.329 * [taylor]: Taking taylor expansion of PI in n
21.329 * [backup-simplify]: Simplify PI into PI
21.329 * [taylor]: Taking taylor expansion of n in n
21.329 * [backup-simplify]: Simplify 0 into 0
21.329 * [backup-simplify]: Simplify 1 into 1
21.330 * [backup-simplify]: Simplify (/ PI 1) into PI
21.330 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.332 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
21.332 * [taylor]: Taking taylor expansion of 1.0 in n
21.332 * [backup-simplify]: Simplify 1.0 into 1.0
21.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.332 * [taylor]: Taking taylor expansion of k in n
21.332 * [backup-simplify]: Simplify k into k
21.332 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.333 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.334 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
21.334 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
21.335 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
21.336 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
21.338 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
21.339 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
21.340 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
21.342 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
21.343 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
21.343 * [backup-simplify]: Simplify 0 into 0
21.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0
21.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.348 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
21.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))
21.349 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n
21.349 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
21.349 * [taylor]: Taking taylor expansion of +nan.0 in n
21.350 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.350 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
21.350 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
21.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
21.350 * [taylor]: Taking taylor expansion of 0.5 in n
21.350 * [backup-simplify]: Simplify 0.5 into 0.5
21.350 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
21.350 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
21.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
21.350 * [taylor]: Taking taylor expansion of 2.0 in n
21.350 * [backup-simplify]: Simplify 2.0 into 2.0
21.350 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.350 * [taylor]: Taking taylor expansion of PI in n
21.350 * [backup-simplify]: Simplify PI into PI
21.350 * [taylor]: Taking taylor expansion of n in n
21.350 * [backup-simplify]: Simplify 0 into 0
21.350 * [backup-simplify]: Simplify 1 into 1
21.350 * [backup-simplify]: Simplify (/ PI 1) into PI
21.351 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.352 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
21.352 * [taylor]: Taking taylor expansion of 1.0 in n
21.352 * [backup-simplify]: Simplify 1.0 into 1.0
21.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.352 * [taylor]: Taking taylor expansion of k in n
21.352 * [backup-simplify]: Simplify k into k
21.352 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.354 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
21.354 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
21.356 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
21.357 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
21.358 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
21.359 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
21.361 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
21.362 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
21.364 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
21.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.366 * [backup-simplify]: Simplify (- 0) into 0
21.366 * [backup-simplify]: Simplify (+ 0 0) into 0
21.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.368 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
21.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
21.371 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0
21.372 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0
21.374 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0
21.379 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0
21.379 * [backup-simplify]: Simplify (- 0) into 0
21.379 * [backup-simplify]: Simplify 0 into 0
21.379 * [backup-simplify]: Simplify 0 into 0
21.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) (* 0 (/ 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into 0
21.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
21.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))
21.387 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n
21.387 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
21.387 * [taylor]: Taking taylor expansion of +nan.0 in n
21.387 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.387 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
21.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
21.387 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
21.387 * [taylor]: Taking taylor expansion of 0.5 in n
21.387 * [backup-simplify]: Simplify 0.5 into 0.5
21.387 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
21.387 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
21.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
21.387 * [taylor]: Taking taylor expansion of 2.0 in n
21.387 * [backup-simplify]: Simplify 2.0 into 2.0
21.387 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.387 * [taylor]: Taking taylor expansion of PI in n
21.387 * [backup-simplify]: Simplify PI into PI
21.387 * [taylor]: Taking taylor expansion of n in n
21.387 * [backup-simplify]: Simplify 0 into 0
21.388 * [backup-simplify]: Simplify 1 into 1
21.388 * [backup-simplify]: Simplify (/ PI 1) into PI
21.389 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.390 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
21.390 * [taylor]: Taking taylor expansion of 1.0 in n
21.390 * [backup-simplify]: Simplify 1.0 into 1.0
21.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.390 * [taylor]: Taking taylor expansion of k in n
21.390 * [backup-simplify]: Simplify k into k
21.390 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.391 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
21.392 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
21.393 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
21.394 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
21.395 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
21.396 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
21.398 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
21.399 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
21.400 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))
21.405 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k))))))))))) into (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))))))))
21.406 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))
21.406 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0
21.406 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n
21.406 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
21.406 * [taylor]: Taking taylor expansion of (/ -1 k) in n
21.406 * [taylor]: Taking taylor expansion of -1 in n
21.406 * [backup-simplify]: Simplify -1 into -1
21.406 * [taylor]: Taking taylor expansion of k in n
21.406 * [backup-simplify]: Simplify k into k
21.407 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
21.407 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
21.407 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
21.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
21.407 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
21.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
21.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
21.407 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
21.407 * [taylor]: Taking taylor expansion of 0.5 in n
21.407 * [backup-simplify]: Simplify 0.5 into 0.5
21.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
21.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.407 * [taylor]: Taking taylor expansion of k in n
21.407 * [backup-simplify]: Simplify k into k
21.407 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.407 * [taylor]: Taking taylor expansion of 1.0 in n
21.407 * [backup-simplify]: Simplify 1.0 into 1.0
21.407 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
21.407 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
21.407 * [taylor]: Taking taylor expansion of -2.0 in n
21.407 * [backup-simplify]: Simplify -2.0 into -2.0
21.407 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.407 * [taylor]: Taking taylor expansion of PI in n
21.407 * [backup-simplify]: Simplify PI into PI
21.407 * [taylor]: Taking taylor expansion of n in n
21.408 * [backup-simplify]: Simplify 0 into 0
21.408 * [backup-simplify]: Simplify 1 into 1
21.408 * [backup-simplify]: Simplify (/ PI 1) into PI
21.409 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
21.410 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
21.410 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
21.410 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
21.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.412 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
21.414 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
21.415 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
21.416 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k
21.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
21.416 * [taylor]: Taking taylor expansion of (/ -1 k) in k
21.416 * [taylor]: Taking taylor expansion of -1 in k
21.416 * [backup-simplify]: Simplify -1 into -1
21.416 * [taylor]: Taking taylor expansion of k in k
21.416 * [backup-simplify]: Simplify 0 into 0
21.416 * [backup-simplify]: Simplify 1 into 1
21.416 * [backup-simplify]: Simplify (/ -1 1) into -1
21.417 * [backup-simplify]: Simplify (sqrt 0) into 0
21.418 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
21.418 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
21.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
21.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
21.418 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
21.418 * [taylor]: Taking taylor expansion of 0.5 in k
21.418 * [backup-simplify]: Simplify 0.5 into 0.5
21.418 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
21.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.418 * [taylor]: Taking taylor expansion of k in k
21.418 * [backup-simplify]: Simplify 0 into 0
21.418 * [backup-simplify]: Simplify 1 into 1
21.419 * [backup-simplify]: Simplify (/ 1 1) into 1
21.419 * [taylor]: Taking taylor expansion of 1.0 in k
21.419 * [backup-simplify]: Simplify 1.0 into 1.0
21.419 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
21.419 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
21.419 * [taylor]: Taking taylor expansion of -2.0 in k
21.419 * [backup-simplify]: Simplify -2.0 into -2.0
21.419 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.419 * [taylor]: Taking taylor expansion of PI in k
21.419 * [backup-simplify]: Simplify PI into PI
21.419 * [taylor]: Taking taylor expansion of n in k
21.419 * [backup-simplify]: Simplify n into n
21.419 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.419 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
21.419 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
21.420 * [backup-simplify]: Simplify (+ 1 0) into 1
21.421 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
21.421 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
21.421 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
21.421 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
21.421 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k
21.422 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
21.422 * [taylor]: Taking taylor expansion of (/ -1 k) in k
21.422 * [taylor]: Taking taylor expansion of -1 in k
21.422 * [backup-simplify]: Simplify -1 into -1
21.422 * [taylor]: Taking taylor expansion of k in k
21.422 * [backup-simplify]: Simplify 0 into 0
21.422 * [backup-simplify]: Simplify 1 into 1
21.422 * [backup-simplify]: Simplify (/ -1 1) into -1
21.423 * [backup-simplify]: Simplify (sqrt 0) into 0
21.424 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
21.424 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
21.424 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
21.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
21.424 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
21.424 * [taylor]: Taking taylor expansion of 0.5 in k
21.424 * [backup-simplify]: Simplify 0.5 into 0.5
21.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
21.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.424 * [taylor]: Taking taylor expansion of k in k
21.424 * [backup-simplify]: Simplify 0 into 0
21.424 * [backup-simplify]: Simplify 1 into 1
21.425 * [backup-simplify]: Simplify (/ 1 1) into 1
21.425 * [taylor]: Taking taylor expansion of 1.0 in k
21.425 * [backup-simplify]: Simplify 1.0 into 1.0
21.425 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
21.425 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
21.425 * [taylor]: Taking taylor expansion of -2.0 in k
21.425 * [backup-simplify]: Simplify -2.0 into -2.0
21.425 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.425 * [taylor]: Taking taylor expansion of PI in k
21.425 * [backup-simplify]: Simplify PI into PI
21.425 * [taylor]: Taking taylor expansion of n in k
21.425 * [backup-simplify]: Simplify n into n
21.425 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.425 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
21.425 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
21.426 * [backup-simplify]: Simplify (+ 1 0) into 1
21.426 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
21.426 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
21.427 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
21.427 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
21.427 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
21.427 * [taylor]: Taking taylor expansion of +nan.0 in n
21.427 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.427 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
21.427 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
21.427 * [taylor]: Taking taylor expansion of 0.5 in n
21.427 * [backup-simplify]: Simplify 0.5 into 0.5
21.427 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
21.427 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
21.427 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.427 * [taylor]: Taking taylor expansion of k in n
21.427 * [backup-simplify]: Simplify k into k
21.427 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.427 * [taylor]: Taking taylor expansion of 1.0 in n
21.427 * [backup-simplify]: Simplify 1.0 into 1.0
21.427 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
21.427 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
21.427 * [taylor]: Taking taylor expansion of -2.0 in n
21.427 * [backup-simplify]: Simplify -2.0 into -2.0
21.428 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.428 * [taylor]: Taking taylor expansion of PI in n
21.428 * [backup-simplify]: Simplify PI into PI
21.428 * [taylor]: Taking taylor expansion of n in n
21.428 * [backup-simplify]: Simplify 0 into 0
21.428 * [backup-simplify]: Simplify 1 into 1
21.428 * [backup-simplify]: Simplify (/ PI 1) into PI
21.429 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
21.430 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
21.430 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
21.432 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.433 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
21.434 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
21.435 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
21.437 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
21.438 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
21.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
21.442 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
21.443 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))
21.443 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n
21.443 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
21.443 * [taylor]: Taking taylor expansion of +nan.0 in n
21.443 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.443 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
21.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
21.444 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
21.444 * [taylor]: Taking taylor expansion of 0.5 in n
21.444 * [backup-simplify]: Simplify 0.5 into 0.5
21.444 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
21.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
21.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.444 * [taylor]: Taking taylor expansion of k in n
21.444 * [backup-simplify]: Simplify k into k
21.444 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.444 * [taylor]: Taking taylor expansion of 1.0 in n
21.444 * [backup-simplify]: Simplify 1.0 into 1.0
21.444 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
21.444 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
21.444 * [taylor]: Taking taylor expansion of -2.0 in n
21.444 * [backup-simplify]: Simplify -2.0 into -2.0
21.444 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.444 * [taylor]: Taking taylor expansion of PI in n
21.444 * [backup-simplify]: Simplify PI into PI
21.444 * [taylor]: Taking taylor expansion of n in n
21.444 * [backup-simplify]: Simplify 0 into 0
21.444 * [backup-simplify]: Simplify 1 into 1
21.445 * [backup-simplify]: Simplify (/ PI 1) into PI
21.445 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
21.446 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
21.446 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
21.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.449 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
21.450 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
21.451 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
21.453 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
21.454 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
21.455 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))
21.465 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))
21.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.467 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
21.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
21.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.469 * [backup-simplify]: Simplify (+ 0 0) into 0
21.471 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.472 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
21.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0
21.476 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.480 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into 0
21.480 * [backup-simplify]: Simplify 0 into 0
21.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
21.487 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (+ (* (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (/ 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))
21.487 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n
21.487 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
21.487 * [taylor]: Taking taylor expansion of +nan.0 in n
21.487 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.487 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
21.487 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
21.487 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
21.487 * [taylor]: Taking taylor expansion of 0.5 in n
21.487 * [backup-simplify]: Simplify 0.5 into 0.5
21.487 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
21.487 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
21.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.487 * [taylor]: Taking taylor expansion of k in n
21.487 * [backup-simplify]: Simplify k into k
21.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.487 * [taylor]: Taking taylor expansion of 1.0 in n
21.487 * [backup-simplify]: Simplify 1.0 into 1.0
21.487 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
21.488 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
21.488 * [taylor]: Taking taylor expansion of -2.0 in n
21.488 * [backup-simplify]: Simplify -2.0 into -2.0
21.488 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.488 * [taylor]: Taking taylor expansion of PI in n
21.488 * [backup-simplify]: Simplify PI into PI
21.488 * [taylor]: Taking taylor expansion of n in n
21.488 * [backup-simplify]: Simplify 0 into 0
21.488 * [backup-simplify]: Simplify 1 into 1
21.488 * [backup-simplify]: Simplify (/ PI 1) into PI
21.489 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
21.490 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
21.490 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
21.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.493 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
21.494 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
21.496 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
21.497 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
21.498 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
21.500 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))
21.501 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))
21.506 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))))
21.506 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
21.507 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))
21.507 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0
21.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
21.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
21.507 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
21.507 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
21.507 * [taylor]: Taking taylor expansion of 0.5 in k
21.507 * [backup-simplify]: Simplify 0.5 into 0.5
21.507 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
21.507 * [taylor]: Taking taylor expansion of 1.0 in k
21.507 * [backup-simplify]: Simplify 1.0 into 1.0
21.507 * [taylor]: Taking taylor expansion of k in k
21.507 * [backup-simplify]: Simplify 0 into 0
21.507 * [backup-simplify]: Simplify 1 into 1
21.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
21.507 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
21.507 * [taylor]: Taking taylor expansion of 2.0 in k
21.507 * [backup-simplify]: Simplify 2.0 into 2.0
21.507 * [taylor]: Taking taylor expansion of (* n PI) in k
21.507 * [taylor]: Taking taylor expansion of n in k
21.508 * [backup-simplify]: Simplify n into n
21.508 * [taylor]: Taking taylor expansion of PI in k
21.508 * [backup-simplify]: Simplify PI into PI
21.508 * [backup-simplify]: Simplify (* n PI) into (* n PI)
21.508 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
21.508 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
21.508 * [backup-simplify]: Simplify (- 0) into 0
21.509 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
21.509 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
21.509 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
21.509 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
21.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
21.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
21.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
21.510 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
21.510 * [taylor]: Taking taylor expansion of 0.5 in n
21.510 * [backup-simplify]: Simplify 0.5 into 0.5
21.510 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
21.510 * [taylor]: Taking taylor expansion of 1.0 in n
21.510 * [backup-simplify]: Simplify 1.0 into 1.0
21.510 * [taylor]: Taking taylor expansion of k in n
21.510 * [backup-simplify]: Simplify k into k
21.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
21.510 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.510 * [taylor]: Taking taylor expansion of 2.0 in n
21.510 * [backup-simplify]: Simplify 2.0 into 2.0
21.510 * [taylor]: Taking taylor expansion of (* n PI) in n
21.510 * [taylor]: Taking taylor expansion of n in n
21.510 * [backup-simplify]: Simplify 0 into 0
21.510 * [backup-simplify]: Simplify 1 into 1
21.510 * [taylor]: Taking taylor expansion of PI in n
21.510 * [backup-simplify]: Simplify PI into PI
21.511 * [backup-simplify]: Simplify (* 0 PI) into 0
21.511 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.514 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
21.515 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.516 * [backup-simplify]: Simplify (- k) into (- k)
21.516 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
21.516 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
21.517 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.519 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
21.520 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
21.520 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
21.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
21.520 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
21.520 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
21.520 * [taylor]: Taking taylor expansion of 0.5 in n
21.521 * [backup-simplify]: Simplify 0.5 into 0.5
21.521 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
21.521 * [taylor]: Taking taylor expansion of 1.0 in n
21.521 * [backup-simplify]: Simplify 1.0 into 1.0
21.521 * [taylor]: Taking taylor expansion of k in n
21.521 * [backup-simplify]: Simplify k into k
21.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
21.521 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.521 * [taylor]: Taking taylor expansion of 2.0 in n
21.521 * [backup-simplify]: Simplify 2.0 into 2.0
21.521 * [taylor]: Taking taylor expansion of (* n PI) in n
21.521 * [taylor]: Taking taylor expansion of n in n
21.521 * [backup-simplify]: Simplify 0 into 0
21.521 * [backup-simplify]: Simplify 1 into 1
21.521 * [taylor]: Taking taylor expansion of PI in n
21.521 * [backup-simplify]: Simplify PI into PI
21.521 * [backup-simplify]: Simplify (* 0 PI) into 0
21.522 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.525 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
21.526 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.526 * [backup-simplify]: Simplify (- k) into (- k)
21.526 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
21.526 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
21.528 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.529 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
21.530 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
21.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
21.531 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
21.531 * [taylor]: Taking taylor expansion of 0.5 in k
21.531 * [backup-simplify]: Simplify 0.5 into 0.5
21.531 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
21.531 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
21.531 * [taylor]: Taking taylor expansion of 1.0 in k
21.531 * [backup-simplify]: Simplify 1.0 into 1.0
21.531 * [taylor]: Taking taylor expansion of k in k
21.531 * [backup-simplify]: Simplify 0 into 0
21.531 * [backup-simplify]: Simplify 1 into 1
21.531 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
21.531 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
21.531 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
21.531 * [taylor]: Taking taylor expansion of 2.0 in k
21.531 * [backup-simplify]: Simplify 2.0 into 2.0
21.531 * [taylor]: Taking taylor expansion of PI in k
21.531 * [backup-simplify]: Simplify PI into PI
21.532 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.533 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.533 * [taylor]: Taking taylor expansion of (log n) in k
21.533 * [taylor]: Taking taylor expansion of n in k
21.533 * [backup-simplify]: Simplify n into n
21.533 * [backup-simplify]: Simplify (log n) into (log n)
21.533 * [backup-simplify]: Simplify (- 0) into 0
21.534 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
21.535 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
21.536 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
21.537 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
21.538 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
21.540 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
21.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
21.542 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
21.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
21.544 * [backup-simplify]: Simplify (- 0) into 0
21.545 * [backup-simplify]: Simplify (+ 0 0) into 0
21.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
21.547 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.548 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
21.550 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.550 * [taylor]: Taking taylor expansion of 0 in k
21.550 * [backup-simplify]: Simplify 0 into 0
21.550 * [backup-simplify]: Simplify 0 into 0
21.551 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
21.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
21.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
21.554 * [backup-simplify]: Simplify (+ 0 0) into 0
21.555 * [backup-simplify]: Simplify (- 1) into -1
21.555 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.557 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
21.559 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
21.562 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
21.565 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
21.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
21.568 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
21.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
21.572 * [backup-simplify]: Simplify (- 0) into 0
21.573 * [backup-simplify]: Simplify (+ 0 0) into 0
21.573 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
21.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.576 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
21.579 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.579 * [taylor]: Taking taylor expansion of 0 in k
21.579 * [backup-simplify]: Simplify 0 into 0
21.579 * [backup-simplify]: Simplify 0 into 0
21.579 * [backup-simplify]: Simplify 0 into 0
21.580 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
21.584 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
21.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
21.586 * [backup-simplify]: Simplify (+ 0 0) into 0
21.586 * [backup-simplify]: Simplify (- 0) into 0
21.587 * [backup-simplify]: Simplify (+ 0 0) into 0
21.589 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
21.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
21.595 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
21.602 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
21.613 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
21.614 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))
21.614 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
21.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
21.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
21.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
21.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
21.614 * [taylor]: Taking taylor expansion of 0.5 in k
21.614 * [backup-simplify]: Simplify 0.5 into 0.5
21.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
21.615 * [taylor]: Taking taylor expansion of 1.0 in k
21.615 * [backup-simplify]: Simplify 1.0 into 1.0
21.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.615 * [taylor]: Taking taylor expansion of k in k
21.615 * [backup-simplify]: Simplify 0 into 0
21.615 * [backup-simplify]: Simplify 1 into 1
21.615 * [backup-simplify]: Simplify (/ 1 1) into 1
21.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
21.615 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
21.615 * [taylor]: Taking taylor expansion of 2.0 in k
21.615 * [backup-simplify]: Simplify 2.0 into 2.0
21.615 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.615 * [taylor]: Taking taylor expansion of PI in k
21.615 * [backup-simplify]: Simplify PI into PI
21.615 * [taylor]: Taking taylor expansion of n in k
21.615 * [backup-simplify]: Simplify n into n
21.615 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.615 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
21.616 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
21.616 * [backup-simplify]: Simplify (- 1) into -1
21.616 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.617 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
21.617 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
21.617 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
21.617 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
21.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
21.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
21.617 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
21.617 * [taylor]: Taking taylor expansion of 0.5 in n
21.617 * [backup-simplify]: Simplify 0.5 into 0.5
21.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
21.618 * [taylor]: Taking taylor expansion of 1.0 in n
21.618 * [backup-simplify]: Simplify 1.0 into 1.0
21.618 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.618 * [taylor]: Taking taylor expansion of k in n
21.618 * [backup-simplify]: Simplify k into k
21.618 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
21.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
21.618 * [taylor]: Taking taylor expansion of 2.0 in n
21.618 * [backup-simplify]: Simplify 2.0 into 2.0
21.618 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.618 * [taylor]: Taking taylor expansion of PI in n
21.618 * [backup-simplify]: Simplify PI into PI
21.618 * [taylor]: Taking taylor expansion of n in n
21.618 * [backup-simplify]: Simplify 0 into 0
21.618 * [backup-simplify]: Simplify 1 into 1
21.627 * [backup-simplify]: Simplify (/ PI 1) into PI
21.628 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.629 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.629 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
21.629 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
21.630 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
21.631 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.632 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
21.633 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
21.633 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
21.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
21.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
21.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
21.634 * [taylor]: Taking taylor expansion of 0.5 in n
21.634 * [backup-simplify]: Simplify 0.5 into 0.5
21.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
21.634 * [taylor]: Taking taylor expansion of 1.0 in n
21.634 * [backup-simplify]: Simplify 1.0 into 1.0
21.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.634 * [taylor]: Taking taylor expansion of k in n
21.634 * [backup-simplify]: Simplify k into k
21.634 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
21.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
21.634 * [taylor]: Taking taylor expansion of 2.0 in n
21.634 * [backup-simplify]: Simplify 2.0 into 2.0
21.634 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.634 * [taylor]: Taking taylor expansion of PI in n
21.634 * [backup-simplify]: Simplify PI into PI
21.634 * [taylor]: Taking taylor expansion of n in n
21.634 * [backup-simplify]: Simplify 0 into 0
21.634 * [backup-simplify]: Simplify 1 into 1
21.635 * [backup-simplify]: Simplify (/ PI 1) into PI
21.635 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.636 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.636 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
21.636 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
21.636 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
21.639 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.640 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
21.641 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
21.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k
21.642 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k
21.642 * [taylor]: Taking taylor expansion of 0.5 in k
21.642 * [backup-simplify]: Simplify 0.5 into 0.5
21.642 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k
21.642 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
21.642 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
21.642 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
21.642 * [taylor]: Taking taylor expansion of 2.0 in k
21.642 * [backup-simplify]: Simplify 2.0 into 2.0
21.642 * [taylor]: Taking taylor expansion of PI in k
21.642 * [backup-simplify]: Simplify PI into PI
21.643 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
21.644 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.644 * [taylor]: Taking taylor expansion of (log n) in k
21.644 * [taylor]: Taking taylor expansion of n in k
21.644 * [backup-simplify]: Simplify n into n
21.644 * [backup-simplify]: Simplify (log n) into (log n)
21.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
21.644 * [taylor]: Taking taylor expansion of 1.0 in k
21.644 * [backup-simplify]: Simplify 1.0 into 1.0
21.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.644 * [taylor]: Taking taylor expansion of k in k
21.644 * [backup-simplify]: Simplify 0 into 0
21.644 * [backup-simplify]: Simplify 1 into 1
21.645 * [backup-simplify]: Simplify (/ 1 1) into 1
21.645 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.646 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
21.646 * [backup-simplify]: Simplify (- 1) into -1
21.647 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.648 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n)))
21.649 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
21.651 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
21.652 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
21.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.654 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
21.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
21.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.657 * [backup-simplify]: Simplify (- 0) into 0
21.657 * [backup-simplify]: Simplify (+ 0 0) into 0
21.657 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
21.659 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.660 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
21.662 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.662 * [taylor]: Taking taylor expansion of 0 in k
21.662 * [backup-simplify]: Simplify 0 into 0
21.662 * [backup-simplify]: Simplify 0 into 0
21.662 * [backup-simplify]: Simplify 0 into 0
21.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.664 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
21.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
21.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.669 * [backup-simplify]: Simplify (- 0) into 0
21.669 * [backup-simplify]: Simplify (+ 0 0) into 0
21.670 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
21.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.673 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
21.675 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.675 * [taylor]: Taking taylor expansion of 0 in k
21.676 * [backup-simplify]: Simplify 0 into 0
21.676 * [backup-simplify]: Simplify 0 into 0
21.676 * [backup-simplify]: Simplify 0 into 0
21.676 * [backup-simplify]: Simplify 0 into 0
21.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.678 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.684 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
21.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.685 * [backup-simplify]: Simplify (- 0) into 0
21.685 * [backup-simplify]: Simplify (+ 0 0) into 0
21.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
21.688 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
21.690 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
21.693 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.693 * [taylor]: Taking taylor expansion of 0 in k
21.693 * [backup-simplify]: Simplify 0 into 0
21.693 * [backup-simplify]: Simplify 0 into 0
21.695 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
21.696 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))
21.696 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
21.696 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
21.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
21.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
21.696 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
21.696 * [taylor]: Taking taylor expansion of 0.5 in k
21.696 * [backup-simplify]: Simplify 0.5 into 0.5
21.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
21.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.696 * [taylor]: Taking taylor expansion of k in k
21.696 * [backup-simplify]: Simplify 0 into 0
21.696 * [backup-simplify]: Simplify 1 into 1
21.697 * [backup-simplify]: Simplify (/ 1 1) into 1
21.697 * [taylor]: Taking taylor expansion of 1.0 in k
21.697 * [backup-simplify]: Simplify 1.0 into 1.0
21.697 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
21.697 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
21.697 * [taylor]: Taking taylor expansion of -2.0 in k
21.697 * [backup-simplify]: Simplify -2.0 into -2.0
21.697 * [taylor]: Taking taylor expansion of (/ PI n) in k
21.697 * [taylor]: Taking taylor expansion of PI in k
21.697 * [backup-simplify]: Simplify PI into PI
21.697 * [taylor]: Taking taylor expansion of n in k
21.697 * [backup-simplify]: Simplify n into n
21.697 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
21.697 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
21.697 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
21.698 * [backup-simplify]: Simplify (+ 1 0) into 1
21.698 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
21.698 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
21.698 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
21.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
21.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
21.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
21.699 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
21.699 * [taylor]: Taking taylor expansion of 0.5 in n
21.699 * [backup-simplify]: Simplify 0.5 into 0.5
21.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
21.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.699 * [taylor]: Taking taylor expansion of k in n
21.699 * [backup-simplify]: Simplify k into k
21.699 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.699 * [taylor]: Taking taylor expansion of 1.0 in n
21.699 * [backup-simplify]: Simplify 1.0 into 1.0
21.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
21.699 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
21.699 * [taylor]: Taking taylor expansion of -2.0 in n
21.699 * [backup-simplify]: Simplify -2.0 into -2.0
21.699 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.699 * [taylor]: Taking taylor expansion of PI in n
21.699 * [backup-simplify]: Simplify PI into PI
21.699 * [taylor]: Taking taylor expansion of n in n
21.699 * [backup-simplify]: Simplify 0 into 0
21.699 * [backup-simplify]: Simplify 1 into 1
21.700 * [backup-simplify]: Simplify (/ PI 1) into PI
21.700 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
21.701 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
21.701 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
21.702 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
21.703 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.704 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
21.705 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
21.706 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
21.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
21.706 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
21.706 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
21.706 * [taylor]: Taking taylor expansion of 0.5 in n
21.706 * [backup-simplify]: Simplify 0.5 into 0.5
21.706 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
21.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.706 * [taylor]: Taking taylor expansion of k in n
21.706 * [backup-simplify]: Simplify k into k
21.706 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.706 * [taylor]: Taking taylor expansion of 1.0 in n
21.706 * [backup-simplify]: Simplify 1.0 into 1.0
21.706 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
21.706 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
21.706 * [taylor]: Taking taylor expansion of -2.0 in n
21.706 * [backup-simplify]: Simplify -2.0 into -2.0
21.707 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.707 * [taylor]: Taking taylor expansion of PI in n
21.707 * [backup-simplify]: Simplify PI into PI
21.707 * [taylor]: Taking taylor expansion of n in n
21.707 * [backup-simplify]: Simplify 0 into 0
21.707 * [backup-simplify]: Simplify 1 into 1
21.707 * [backup-simplify]: Simplify (/ PI 1) into PI
21.708 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
21.709 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
21.709 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
21.709 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
21.711 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.712 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
21.713 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
21.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k
21.713 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k
21.713 * [taylor]: Taking taylor expansion of 0.5 in k
21.713 * [backup-simplify]: Simplify 0.5 into 0.5
21.713 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k
21.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
21.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.713 * [taylor]: Taking taylor expansion of k in k
21.713 * [backup-simplify]: Simplify 0 into 0
21.713 * [backup-simplify]: Simplify 1 into 1
21.714 * [backup-simplify]: Simplify (/ 1 1) into 1
21.714 * [taylor]: Taking taylor expansion of 1.0 in k
21.714 * [backup-simplify]: Simplify 1.0 into 1.0
21.714 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
21.714 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
21.714 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
21.714 * [taylor]: Taking taylor expansion of -2.0 in k
21.714 * [backup-simplify]: Simplify -2.0 into -2.0
21.714 * [taylor]: Taking taylor expansion of PI in k
21.714 * [backup-simplify]: Simplify PI into PI
21.715 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
21.716 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
21.716 * [taylor]: Taking taylor expansion of (log n) in k
21.716 * [taylor]: Taking taylor expansion of n in k
21.716 * [backup-simplify]: Simplify n into n
21.716 * [backup-simplify]: Simplify (log n) into (log n)
21.716 * [backup-simplify]: Simplify (+ 1 0) into 1
21.716 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.717 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
21.719 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n))
21.720 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
21.721 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
21.722 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
21.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.724 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
21.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
21.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.727 * [backup-simplify]: Simplify (+ 0 0) into 0
21.727 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
21.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.730 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
21.732 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.732 * [taylor]: Taking taylor expansion of 0 in k
21.732 * [backup-simplify]: Simplify 0 into 0
21.732 * [backup-simplify]: Simplify 0 into 0
21.732 * [backup-simplify]: Simplify 0 into 0
21.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.734 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
21.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
21.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.738 * [backup-simplify]: Simplify (+ 0 0) into 0
21.739 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
21.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.742 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
21.745 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.745 * [taylor]: Taking taylor expansion of 0 in k
21.745 * [backup-simplify]: Simplify 0 into 0
21.745 * [backup-simplify]: Simplify 0 into 0
21.745 * [backup-simplify]: Simplify 0 into 0
21.745 * [backup-simplify]: Simplify 0 into 0
21.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.747 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.754 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
21.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.755 * [backup-simplify]: Simplify (+ 0 0) into 0
21.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
21.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
21.759 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
21.762 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.762 * [taylor]: Taking taylor expansion of 0 in k
21.762 * [backup-simplify]: Simplify 0 into 0
21.763 * [backup-simplify]: Simplify 0 into 0
21.764 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
21.764 * * * * [progress]: [ 4 / 4 ] generating series at (2)
21.765 * [backup-simplify]: Simplify (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))
21.765 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0
21.765 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n
21.765 * [taylor]: Taking taylor expansion of 1.0 in n
21.765 * [backup-simplify]: Simplify 1.0 into 1.0
21.765 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n
21.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
21.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.765 * [taylor]: Taking taylor expansion of k in n
21.765 * [backup-simplify]: Simplify k into k
21.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.766 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
21.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
21.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
21.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
21.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
21.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
21.766 * [taylor]: Taking taylor expansion of 0.5 in n
21.766 * [backup-simplify]: Simplify 0.5 into 0.5
21.766 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
21.766 * [taylor]: Taking taylor expansion of 1.0 in n
21.766 * [backup-simplify]: Simplify 1.0 into 1.0
21.766 * [taylor]: Taking taylor expansion of k in n
21.766 * [backup-simplify]: Simplify k into k
21.766 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
21.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.766 * [taylor]: Taking taylor expansion of 2.0 in n
21.766 * [backup-simplify]: Simplify 2.0 into 2.0
21.766 * [taylor]: Taking taylor expansion of (* n PI) in n
21.766 * [taylor]: Taking taylor expansion of n in n
21.766 * [backup-simplify]: Simplify 0 into 0
21.766 * [backup-simplify]: Simplify 1 into 1
21.766 * [taylor]: Taking taylor expansion of PI in n
21.766 * [backup-simplify]: Simplify PI into PI
21.767 * [backup-simplify]: Simplify (* 0 PI) into 0
21.768 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.769 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.771 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
21.772 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.772 * [backup-simplify]: Simplify (- k) into (- k)
21.772 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
21.772 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
21.774 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.775 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
21.776 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
21.776 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
21.776 * [taylor]: Taking taylor expansion of 1.0 in k
21.776 * [backup-simplify]: Simplify 1.0 into 1.0
21.777 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
21.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
21.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.777 * [taylor]: Taking taylor expansion of k in k
21.777 * [backup-simplify]: Simplify 0 into 0
21.777 * [backup-simplify]: Simplify 1 into 1
21.777 * [backup-simplify]: Simplify (/ 1 1) into 1
21.777 * [backup-simplify]: Simplify (sqrt 0) into 0
21.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
21.779 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
21.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
21.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
21.779 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
21.779 * [taylor]: Taking taylor expansion of 0.5 in k
21.779 * [backup-simplify]: Simplify 0.5 into 0.5
21.779 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
21.779 * [taylor]: Taking taylor expansion of 1.0 in k
21.779 * [backup-simplify]: Simplify 1.0 into 1.0
21.779 * [taylor]: Taking taylor expansion of k in k
21.779 * [backup-simplify]: Simplify 0 into 0
21.779 * [backup-simplify]: Simplify 1 into 1
21.779 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
21.779 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
21.779 * [taylor]: Taking taylor expansion of 2.0 in k
21.779 * [backup-simplify]: Simplify 2.0 into 2.0
21.779 * [taylor]: Taking taylor expansion of (* n PI) in k
21.779 * [taylor]: Taking taylor expansion of n in k
21.779 * [backup-simplify]: Simplify n into n
21.779 * [taylor]: Taking taylor expansion of PI in k
21.780 * [backup-simplify]: Simplify PI into PI
21.780 * [backup-simplify]: Simplify (* n PI) into (* n PI)
21.780 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
21.780 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
21.780 * [backup-simplify]: Simplify (- 0) into 0
21.781 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
21.781 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
21.781 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
21.781 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
21.781 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k
21.781 * [taylor]: Taking taylor expansion of 1.0 in k
21.782 * [backup-simplify]: Simplify 1.0 into 1.0
21.782 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k
21.782 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
21.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.782 * [taylor]: Taking taylor expansion of k in k
21.782 * [backup-simplify]: Simplify 0 into 0
21.782 * [backup-simplify]: Simplify 1 into 1
21.791 * [backup-simplify]: Simplify (/ 1 1) into 1
21.792 * [backup-simplify]: Simplify (sqrt 0) into 0
21.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
21.795 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
21.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
21.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
21.795 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
21.795 * [taylor]: Taking taylor expansion of 0.5 in k
21.795 * [backup-simplify]: Simplify 0.5 into 0.5
21.796 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
21.796 * [taylor]: Taking taylor expansion of 1.0 in k
21.796 * [backup-simplify]: Simplify 1.0 into 1.0
21.796 * [taylor]: Taking taylor expansion of k in k
21.796 * [backup-simplify]: Simplify 0 into 0
21.796 * [backup-simplify]: Simplify 1 into 1
21.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
21.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
21.796 * [taylor]: Taking taylor expansion of 2.0 in k
21.796 * [backup-simplify]: Simplify 2.0 into 2.0
21.796 * [taylor]: Taking taylor expansion of (* n PI) in k
21.796 * [taylor]: Taking taylor expansion of n in k
21.796 * [backup-simplify]: Simplify n into n
21.796 * [taylor]: Taking taylor expansion of PI in k
21.796 * [backup-simplify]: Simplify PI into PI
21.796 * [backup-simplify]: Simplify (* n PI) into (* n PI)
21.796 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
21.796 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
21.797 * [backup-simplify]: Simplify (- 0) into 0
21.798 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
21.798 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
21.798 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
21.799 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
21.799 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0
21.800 * [backup-simplify]: Simplify (* 1.0 0) into 0
21.800 * [taylor]: Taking taylor expansion of 0 in n
21.800 * [backup-simplify]: Simplify 0 into 0
21.800 * [backup-simplify]: Simplify 0 into 0
21.801 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
21.802 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0
21.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0
21.804 * [backup-simplify]: Simplify (- 1) into -1
21.805 * [backup-simplify]: Simplify (+ 0 -1) into -1
21.807 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
21.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI)))))
21.808 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
21.810 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
21.813 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
21.813 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n
21.813 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n
21.813 * [taylor]: Taking taylor expansion of +nan.0 in n
21.813 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.813 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
21.813 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
21.813 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
21.813 * [taylor]: Taking taylor expansion of 0.5 in n
21.813 * [backup-simplify]: Simplify 0.5 into 0.5
21.813 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
21.813 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
21.813 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
21.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
21.813 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
21.813 * [taylor]: Taking taylor expansion of 1.0 in n
21.813 * [backup-simplify]: Simplify 1.0 into 1.0
21.813 * [taylor]: Taking taylor expansion of (log PI) in n
21.813 * [taylor]: Taking taylor expansion of PI in n
21.813 * [backup-simplify]: Simplify PI into PI
21.814 * [backup-simplify]: Simplify (log PI) into (log PI)
21.815 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
21.817 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
21.817 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
21.817 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
21.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
21.817 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
21.817 * [taylor]: Taking taylor expansion of 1.0 in n
21.817 * [backup-simplify]: Simplify 1.0 into 1.0
21.818 * [taylor]: Taking taylor expansion of (log n) in n
21.818 * [taylor]: Taking taylor expansion of n in n
21.818 * [backup-simplify]: Simplify 0 into 0
21.818 * [backup-simplify]: Simplify 1 into 1
21.818 * [backup-simplify]: Simplify (log 1) into 0
21.819 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.819 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
21.819 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
21.819 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
21.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
21.819 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
21.819 * [taylor]: Taking taylor expansion of 1.0 in n
21.819 * [backup-simplify]: Simplify 1.0 into 1.0
21.819 * [taylor]: Taking taylor expansion of (log 2.0) in n
21.819 * [taylor]: Taking taylor expansion of 2.0 in n
21.819 * [backup-simplify]: Simplify 2.0 into 2.0
21.820 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
21.821 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
21.822 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
21.823 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
21.824 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
21.825 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
21.827 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
21.829 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
21.831 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
21.833 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
21.835 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
21.835 * [backup-simplify]: Simplify 0 into 0
21.836 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
21.837 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
21.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0
21.839 * [backup-simplify]: Simplify (- 0) into 0
21.840 * [backup-simplify]: Simplify (+ 0 0) into 0
21.841 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
21.842 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0
21.844 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
21.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.848 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
21.851 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))
21.856 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))
21.856 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n
21.856 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n
21.856 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n
21.856 * [taylor]: Taking taylor expansion of +nan.0 in n
21.857 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.857 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
21.857 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
21.857 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
21.857 * [taylor]: Taking taylor expansion of 0.5 in n
21.857 * [backup-simplify]: Simplify 0.5 into 0.5
21.857 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
21.857 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
21.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
21.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
21.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
21.857 * [taylor]: Taking taylor expansion of 1.0 in n
21.857 * [backup-simplify]: Simplify 1.0 into 1.0
21.857 * [taylor]: Taking taylor expansion of (log PI) in n
21.857 * [taylor]: Taking taylor expansion of PI in n
21.857 * [backup-simplify]: Simplify PI into PI
21.857 * [backup-simplify]: Simplify (log PI) into (log PI)
21.859 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
21.860 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
21.860 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
21.860 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
21.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
21.860 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
21.860 * [taylor]: Taking taylor expansion of 1.0 in n
21.860 * [backup-simplify]: Simplify 1.0 into 1.0
21.860 * [taylor]: Taking taylor expansion of (log n) in n
21.860 * [taylor]: Taking taylor expansion of n in n
21.860 * [backup-simplify]: Simplify 0 into 0
21.860 * [backup-simplify]: Simplify 1 into 1
21.861 * [backup-simplify]: Simplify (log 1) into 0
21.861 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.861 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
21.862 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
21.862 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
21.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
21.862 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
21.862 * [taylor]: Taking taylor expansion of 1.0 in n
21.862 * [backup-simplify]: Simplify 1.0 into 1.0
21.862 * [taylor]: Taking taylor expansion of (log 2.0) in n
21.862 * [taylor]: Taking taylor expansion of 2.0 in n
21.862 * [backup-simplify]: Simplify 2.0 into 2.0
21.862 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
21.863 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
21.865 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
21.865 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
21.866 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
21.868 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
21.869 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
21.871 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
21.871 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n
21.871 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n
21.871 * [taylor]: Taking taylor expansion of +nan.0 in n
21.871 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.871 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n
21.871 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
21.871 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
21.871 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
21.871 * [taylor]: Taking taylor expansion of 0.5 in n
21.871 * [backup-simplify]: Simplify 0.5 into 0.5
21.871 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
21.871 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
21.871 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
21.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
21.871 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
21.872 * [taylor]: Taking taylor expansion of 1.0 in n
21.872 * [backup-simplify]: Simplify 1.0 into 1.0
21.872 * [taylor]: Taking taylor expansion of (log 2.0) in n
21.872 * [taylor]: Taking taylor expansion of 2.0 in n
21.872 * [backup-simplify]: Simplify 2.0 into 2.0
21.872 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
21.873 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
21.874 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
21.874 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
21.875 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
21.875 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
21.875 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
21.875 * [taylor]: Taking taylor expansion of 1.0 in n
21.875 * [backup-simplify]: Simplify 1.0 into 1.0
21.875 * [taylor]: Taking taylor expansion of (log PI) in n
21.875 * [taylor]: Taking taylor expansion of PI in n
21.875 * [backup-simplify]: Simplify PI into PI
21.875 * [backup-simplify]: Simplify (log PI) into (log PI)
21.876 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
21.878 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
21.878 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
21.878 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
21.878 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
21.878 * [taylor]: Taking taylor expansion of 1.0 in n
21.878 * [backup-simplify]: Simplify 1.0 into 1.0
21.878 * [taylor]: Taking taylor expansion of (log n) in n
21.878 * [taylor]: Taking taylor expansion of n in n
21.878 * [backup-simplify]: Simplify 0 into 0
21.878 * [backup-simplify]: Simplify 1 into 1
21.878 * [backup-simplify]: Simplify (log 1) into 0
21.879 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.879 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
21.879 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
21.880 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
21.881 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
21.882 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
21.884 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
21.885 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
21.885 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
21.885 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
21.885 * [taylor]: Taking taylor expansion of 2.0 in n
21.885 * [backup-simplify]: Simplify 2.0 into 2.0
21.885 * [taylor]: Taking taylor expansion of (* n PI) in n
21.885 * [taylor]: Taking taylor expansion of n in n
21.885 * [backup-simplify]: Simplify 0 into 0
21.886 * [backup-simplify]: Simplify 1 into 1
21.886 * [taylor]: Taking taylor expansion of PI in n
21.886 * [backup-simplify]: Simplify PI into PI
21.886 * [backup-simplify]: Simplify (* 0 PI) into 0
21.887 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
21.890 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
21.891 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
21.892 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
21.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
21.896 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
21.899 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
21.902 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))
21.908 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
21.914 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
21.921 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
21.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
21.923 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
21.925 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
21.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.927 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.928 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
21.929 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
21.930 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
21.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
21.932 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
21.934 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
21.935 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
21.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0
21.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0
21.941 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.943 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0
21.944 * [backup-simplify]: Simplify (- 0) into 0
21.944 * [backup-simplify]: Simplify 0 into 0
21.944 * [backup-simplify]: Simplify 0 into 0
21.945 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.946 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
21.949 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0
21.949 * [backup-simplify]: Simplify (- 0) into 0
21.950 * [backup-simplify]: Simplify (+ 0 0) into 0
21.951 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0
21.952 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0
21.955 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
21.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
21.974 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))
21.985 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))
21.986 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n
21.986 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n
21.986 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n
21.986 * [taylor]: Taking taylor expansion of +nan.0 in n
21.986 * [backup-simplify]: Simplify +nan.0 into +nan.0
21.986 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n
21.986 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
21.986 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
21.986 * [taylor]: Taking taylor expansion of 0.5 in n
21.986 * [backup-simplify]: Simplify 0.5 into 0.5
21.986 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
21.986 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
21.986 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
21.986 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
21.986 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
21.986 * [taylor]: Taking taylor expansion of 1.0 in n
21.986 * [backup-simplify]: Simplify 1.0 into 1.0
21.986 * [taylor]: Taking taylor expansion of (log 2.0) in n
21.986 * [taylor]: Taking taylor expansion of 2.0 in n
21.986 * [backup-simplify]: Simplify 2.0 into 2.0
21.987 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
21.988 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
21.989 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
21.989 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
21.989 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
21.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
21.989 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
21.989 * [taylor]: Taking taylor expansion of 1.0 in n
21.989 * [backup-simplify]: Simplify 1.0 into 1.0
21.989 * [taylor]: Taking taylor expansion of (log n) in n
21.989 * [taylor]: Taking taylor expansion of n in n
21.989 * [backup-simplify]: Simplify 0 into 0
21.989 * [backup-simplify]: Simplify 1 into 1
21.990 * [backup-simplify]: Simplify (log 1) into 0
21.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.990 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
21.990 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
21.990 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
21.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
21.991 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
21.991 * [taylor]: Taking taylor expansion of 1.0 in n
21.991 * [backup-simplify]: Simplify 1.0 into 1.0
21.991 * [taylor]: Taking taylor expansion of (log PI) in n
21.991 * [taylor]: Taking taylor expansion of PI in n
21.991 * [backup-simplify]: Simplify PI into PI
21.991 * [backup-simplify]: Simplify (log PI) into (log PI)
21.992 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
21.994 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
21.994 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
21.996 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
21.997 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
21.998 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
22.000 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.000 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n
22.000 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n
22.000 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n
22.000 * [taylor]: Taking taylor expansion of +nan.0 in n
22.000 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.000 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n
22.000 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
22.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
22.000 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
22.000 * [taylor]: Taking taylor expansion of 0.5 in n
22.000 * [backup-simplify]: Simplify 0.5 into 0.5
22.000 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
22.000 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
22.000 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.000 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.000 * [taylor]: Taking taylor expansion of 1.0 in n
22.000 * [backup-simplify]: Simplify 1.0 into 1.0
22.000 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.000 * [taylor]: Taking taylor expansion of 2.0 in n
22.000 * [backup-simplify]: Simplify 2.0 into 2.0
22.001 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.002 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.003 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.003 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
22.003 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.003 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.003 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.003 * [taylor]: Taking taylor expansion of 1.0 in n
22.003 * [backup-simplify]: Simplify 1.0 into 1.0
22.003 * [taylor]: Taking taylor expansion of (log PI) in n
22.003 * [taylor]: Taking taylor expansion of PI in n
22.003 * [backup-simplify]: Simplify PI into PI
22.004 * [backup-simplify]: Simplify (log PI) into (log PI)
22.005 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.006 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.006 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.006 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.006 * [taylor]: Taking taylor expansion of 1.0 in n
22.006 * [backup-simplify]: Simplify 1.0 into 1.0
22.006 * [taylor]: Taking taylor expansion of (log n) in n
22.006 * [taylor]: Taking taylor expansion of n in n
22.007 * [backup-simplify]: Simplify 0 into 0
22.007 * [backup-simplify]: Simplify 1 into 1
22.007 * [backup-simplify]: Simplify (log 1) into 0
22.008 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.008 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.008 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.008 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
22.010 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
22.011 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
22.012 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
22.014 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.014 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.014 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.014 * [taylor]: Taking taylor expansion of 2.0 in n
22.014 * [backup-simplify]: Simplify 2.0 into 2.0
22.014 * [taylor]: Taking taylor expansion of (* n PI) in n
22.014 * [taylor]: Taking taylor expansion of n in n
22.014 * [backup-simplify]: Simplify 0 into 0
22.014 * [backup-simplify]: Simplify 1 into 1
22.014 * [taylor]: Taking taylor expansion of PI in n
22.014 * [backup-simplify]: Simplify PI into PI
22.015 * [backup-simplify]: Simplify (* 0 PI) into 0
22.015 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.016 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.018 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.019 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.019 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n
22.019 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n
22.019 * [taylor]: Taking taylor expansion of +nan.0 in n
22.019 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.019 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n
22.019 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n
22.019 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n
22.019 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n
22.019 * [taylor]: Taking taylor expansion of 0.5 in n
22.020 * [backup-simplify]: Simplify 0.5 into 0.5
22.020 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n
22.020 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n
22.020 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
22.020 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
22.020 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
22.020 * [taylor]: Taking taylor expansion of 1.0 in n
22.020 * [backup-simplify]: Simplify 1.0 into 1.0
22.020 * [taylor]: Taking taylor expansion of (log 2.0) in n
22.020 * [taylor]: Taking taylor expansion of 2.0 in n
22.020 * [backup-simplify]: Simplify 2.0 into 2.0
22.020 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
22.021 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
22.023 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
22.023 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n
22.023 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
22.023 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
22.023 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
22.023 * [taylor]: Taking taylor expansion of 1.0 in n
22.023 * [backup-simplify]: Simplify 1.0 into 1.0
22.023 * [taylor]: Taking taylor expansion of (log PI) in n
22.023 * [taylor]: Taking taylor expansion of PI in n
22.023 * [backup-simplify]: Simplify PI into PI
22.024 * [backup-simplify]: Simplify (log PI) into (log PI)
22.025 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
22.026 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
22.026 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
22.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
22.026 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
22.026 * [taylor]: Taking taylor expansion of 1.0 in n
22.026 * [backup-simplify]: Simplify 1.0 into 1.0
22.026 * [taylor]: Taking taylor expansion of (log n) in n
22.026 * [taylor]: Taking taylor expansion of n in n
22.026 * [backup-simplify]: Simplify 0 into 0
22.027 * [backup-simplify]: Simplify 1 into 1
22.027 * [backup-simplify]: Simplify (log 1) into 0
22.027 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
22.027 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
22.028 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
22.028 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
22.030 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
22.031 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
22.032 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
22.034 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
22.034 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
22.034 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
22.034 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
22.034 * [taylor]: Taking taylor expansion of 2.0 in n
22.034 * [backup-simplify]: Simplify 2.0 into 2.0
22.034 * [taylor]: Taking taylor expansion of (* n PI) in n
22.034 * [taylor]: Taking taylor expansion of n in n
22.034 * [backup-simplify]: Simplify 0 into 0
22.034 * [backup-simplify]: Simplify 1 into 1
22.034 * [taylor]: Taking taylor expansion of PI in n
22.034 * [backup-simplify]: Simplify PI into PI
22.035 * [backup-simplify]: Simplify (* 0 PI) into 0
22.035 * [backup-simplify]: Simplify (* 2.0 0) into 0
22.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
22.038 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
22.039 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.041 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.043 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
22.044 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.047 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
22.049 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
22.051 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.053 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
22.056 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
22.060 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
22.063 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
22.066 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))
22.077 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))
22.092 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))
22.111 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
22.139 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
22.155 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))
22.183 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))))))))
22.185 * [backup-simplify]: Simplify (/ 1.0 (/ (sqrt (/ 1 k)) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))
22.185 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0
22.185 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n
22.185 * [taylor]: Taking taylor expansion of 1.0 in n
22.185 * [backup-simplify]: Simplify 1.0 into 1.0
22.185 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n
22.185 * [taylor]: Taking taylor expansion of (sqrt k) in n
22.185 * [taylor]: Taking taylor expansion of k in n
22.185 * [backup-simplify]: Simplify k into k
22.185 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
22.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
22.185 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
22.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
22.185 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
22.185 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
22.185 * [taylor]: Taking taylor expansion of 0.5 in n
22.186 * [backup-simplify]: Simplify 0.5 into 0.5
22.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.186 * [taylor]: Taking taylor expansion of 1.0 in n
22.186 * [backup-simplify]: Simplify 1.0 into 1.0
22.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.186 * [taylor]: Taking taylor expansion of k in n
22.186 * [backup-simplify]: Simplify k into k
22.186 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.186 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.186 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.186 * [taylor]: Taking taylor expansion of 2.0 in n
22.186 * [backup-simplify]: Simplify 2.0 into 2.0
22.186 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.186 * [taylor]: Taking taylor expansion of PI in n
22.186 * [backup-simplify]: Simplify PI into PI
22.186 * [taylor]: Taking taylor expansion of n in n
22.186 * [backup-simplify]: Simplify 0 into 0
22.186 * [backup-simplify]: Simplify 1 into 1
22.187 * [backup-simplify]: Simplify (/ PI 1) into PI
22.187 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.188 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.188 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.189 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.189 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
22.191 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.192 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.193 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.193 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
22.193 * [taylor]: Taking taylor expansion of 1.0 in k
22.193 * [backup-simplify]: Simplify 1.0 into 1.0
22.193 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
22.194 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.194 * [taylor]: Taking taylor expansion of k in k
22.194 * [backup-simplify]: Simplify 0 into 0
22.194 * [backup-simplify]: Simplify 1 into 1
22.194 * [backup-simplify]: Simplify (sqrt 0) into 0
22.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.196 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
22.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
22.196 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
22.196 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
22.196 * [taylor]: Taking taylor expansion of 0.5 in k
22.196 * [backup-simplify]: Simplify 0.5 into 0.5
22.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
22.196 * [taylor]: Taking taylor expansion of 1.0 in k
22.196 * [backup-simplify]: Simplify 1.0 into 1.0
22.196 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.196 * [taylor]: Taking taylor expansion of k in k
22.196 * [backup-simplify]: Simplify 0 into 0
22.196 * [backup-simplify]: Simplify 1 into 1
22.197 * [backup-simplify]: Simplify (/ 1 1) into 1
22.197 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
22.197 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
22.197 * [taylor]: Taking taylor expansion of 2.0 in k
22.197 * [backup-simplify]: Simplify 2.0 into 2.0
22.197 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.197 * [taylor]: Taking taylor expansion of PI in k
22.197 * [backup-simplify]: Simplify PI into PI
22.197 * [taylor]: Taking taylor expansion of n in k
22.197 * [backup-simplify]: Simplify n into n
22.197 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.197 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
22.197 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
22.198 * [backup-simplify]: Simplify (- 1) into -1
22.198 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.199 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
22.199 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
22.199 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
22.199 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k
22.199 * [taylor]: Taking taylor expansion of 1.0 in k
22.199 * [backup-simplify]: Simplify 1.0 into 1.0
22.199 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k
22.199 * [taylor]: Taking taylor expansion of (sqrt k) in k
22.199 * [taylor]: Taking taylor expansion of k in k
22.199 * [backup-simplify]: Simplify 0 into 0
22.199 * [backup-simplify]: Simplify 1 into 1
22.200 * [backup-simplify]: Simplify (sqrt 0) into 0
22.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
22.201 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
22.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
22.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
22.201 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
22.201 * [taylor]: Taking taylor expansion of 0.5 in k
22.201 * [backup-simplify]: Simplify 0.5 into 0.5
22.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
22.201 * [taylor]: Taking taylor expansion of 1.0 in k
22.201 * [backup-simplify]: Simplify 1.0 into 1.0
22.201 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.201 * [taylor]: Taking taylor expansion of k in k
22.201 * [backup-simplify]: Simplify 0 into 0
22.202 * [backup-simplify]: Simplify 1 into 1
22.202 * [backup-simplify]: Simplify (/ 1 1) into 1
22.202 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
22.202 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
22.202 * [taylor]: Taking taylor expansion of 2.0 in k
22.202 * [backup-simplify]: Simplify 2.0 into 2.0
22.202 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.202 * [taylor]: Taking taylor expansion of PI in k
22.202 * [backup-simplify]: Simplify PI into PI
22.202 * [taylor]: Taking taylor expansion of n in k
22.202 * [backup-simplify]: Simplify n into n
22.202 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.202 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
22.203 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
22.203 * [backup-simplify]: Simplify (- 1) into -1
22.203 * [backup-simplify]: Simplify (+ 0 -1) into -1
22.204 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
22.204 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
22.204 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))
22.205 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0
22.205 * [backup-simplify]: Simplify (* 1.0 0) into 0
22.205 * [taylor]: Taking taylor expansion of 0 in n
22.205 * [backup-simplify]: Simplify 0 into 0
22.205 * [backup-simplify]: Simplify 0 into 0
22.206 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
22.207 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
22.207 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
22.207 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
22.207 * [taylor]: Taking taylor expansion of +nan.0 in n
22.207 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.207 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
22.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
22.207 * [taylor]: Taking taylor expansion of 0.5 in n
22.207 * [backup-simplify]: Simplify 0.5 into 0.5
22.208 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
22.208 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.208 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.208 * [taylor]: Taking taylor expansion of 2.0 in n
22.208 * [backup-simplify]: Simplify 2.0 into 2.0
22.208 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.208 * [taylor]: Taking taylor expansion of PI in n
22.208 * [backup-simplify]: Simplify PI into PI
22.208 * [taylor]: Taking taylor expansion of n in n
22.208 * [backup-simplify]: Simplify 0 into 0
22.208 * [backup-simplify]: Simplify 1 into 1
22.208 * [backup-simplify]: Simplify (/ PI 1) into PI
22.209 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.210 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.210 * [taylor]: Taking taylor expansion of 1.0 in n
22.210 * [backup-simplify]: Simplify 1.0 into 1.0
22.210 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.210 * [taylor]: Taking taylor expansion of k in n
22.210 * [backup-simplify]: Simplify k into k
22.210 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.212 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.212 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.212 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.213 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
22.215 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.217 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.219 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.220 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
22.221 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
22.222 * [backup-simplify]: Simplify 0 into 0
22.225 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
22.227 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
22.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
22.227 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
22.227 * [taylor]: Taking taylor expansion of +nan.0 in n
22.227 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
22.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
22.227 * [taylor]: Taking taylor expansion of 0.5 in n
22.227 * [backup-simplify]: Simplify 0.5 into 0.5
22.227 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
22.227 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.228 * [taylor]: Taking taylor expansion of 2.0 in n
22.228 * [backup-simplify]: Simplify 2.0 into 2.0
22.228 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.228 * [taylor]: Taking taylor expansion of PI in n
22.228 * [backup-simplify]: Simplify PI into PI
22.228 * [taylor]: Taking taylor expansion of n in n
22.228 * [backup-simplify]: Simplify 0 into 0
22.228 * [backup-simplify]: Simplify 1 into 1
22.228 * [backup-simplify]: Simplify (/ PI 1) into PI
22.229 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.230 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.230 * [taylor]: Taking taylor expansion of 1.0 in n
22.230 * [backup-simplify]: Simplify 1.0 into 1.0
22.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.230 * [taylor]: Taking taylor expansion of k in n
22.230 * [backup-simplify]: Simplify k into k
22.230 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.232 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.232 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.233 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
22.234 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.236 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.237 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.238 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
22.240 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
22.242 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.243 * [backup-simplify]: Simplify (- 0) into 0
22.243 * [backup-simplify]: Simplify (+ 0 0) into 0
22.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.245 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
22.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
22.248 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0
22.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0
22.252 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.254 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0
22.254 * [backup-simplify]: Simplify (- 0) into 0
22.254 * [backup-simplify]: Simplify 0 into 0
22.254 * [backup-simplify]: Simplify 0 into 0
22.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
22.262 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))
22.263 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n
22.263 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n
22.263 * [taylor]: Taking taylor expansion of +nan.0 in n
22.263 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.263 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n
22.263 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n
22.263 * [taylor]: Taking taylor expansion of 0.5 in n
22.263 * [backup-simplify]: Simplify 0.5 into 0.5
22.263 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n
22.263 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
22.263 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
22.263 * [taylor]: Taking taylor expansion of 2.0 in n
22.263 * [backup-simplify]: Simplify 2.0 into 2.0
22.263 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.263 * [taylor]: Taking taylor expansion of PI in n
22.263 * [backup-simplify]: Simplify PI into PI
22.263 * [taylor]: Taking taylor expansion of n in n
22.263 * [backup-simplify]: Simplify 0 into 0
22.263 * [backup-simplify]: Simplify 1 into 1
22.264 * [backup-simplify]: Simplify (/ PI 1) into PI
22.264 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
22.266 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
22.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
22.266 * [taylor]: Taking taylor expansion of 1.0 in n
22.266 * [backup-simplify]: Simplify 1.0 into 1.0
22.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.266 * [taylor]: Taking taylor expansion of k in n
22.266 * [backup-simplify]: Simplify k into k
22.266 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
22.268 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
22.268 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
22.269 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))
22.271 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))
22.272 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))
22.273 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))
22.275 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
22.276 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))
22.282 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
22.283 * [backup-simplify]: Simplify (/ 1.0 (/ (sqrt (/ 1 (- k))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))))
22.283 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0
22.283 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
22.283 * [taylor]: Taking taylor expansion of 1.0 in n
22.283 * [backup-simplify]: Simplify 1.0 into 1.0
22.283 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
22.283 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
22.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
22.283 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
22.283 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
22.283 * [taylor]: Taking taylor expansion of 0.5 in n
22.283 * [backup-simplify]: Simplify 0.5 into 0.5
22.283 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.283 * [taylor]: Taking taylor expansion of k in n
22.283 * [backup-simplify]: Simplify k into k
22.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.284 * [taylor]: Taking taylor expansion of 1.0 in n
22.284 * [backup-simplify]: Simplify 1.0 into 1.0
22.284 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.284 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.284 * [taylor]: Taking taylor expansion of -2.0 in n
22.284 * [backup-simplify]: Simplify -2.0 into -2.0
22.284 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.284 * [taylor]: Taking taylor expansion of PI in n
22.284 * [backup-simplify]: Simplify PI into PI
22.284 * [taylor]: Taking taylor expansion of n in n
22.284 * [backup-simplify]: Simplify 0 into 0
22.284 * [backup-simplify]: Simplify 1 into 1
22.285 * [backup-simplify]: Simplify (/ PI 1) into PI
22.285 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.295 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.295 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.295 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
22.297 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.298 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.299 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.299 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
22.299 * [taylor]: Taking taylor expansion of (/ -1 k) in n
22.299 * [taylor]: Taking taylor expansion of -1 in n
22.299 * [backup-simplify]: Simplify -1 into -1
22.299 * [taylor]: Taking taylor expansion of k in n
22.299 * [backup-simplify]: Simplify k into k
22.299 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
22.299 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
22.300 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
22.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
22.301 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))
22.301 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
22.301 * [taylor]: Taking taylor expansion of 1.0 in k
22.301 * [backup-simplify]: Simplify 1.0 into 1.0
22.301 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
22.301 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
22.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
22.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
22.301 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
22.301 * [taylor]: Taking taylor expansion of 0.5 in k
22.301 * [backup-simplify]: Simplify 0.5 into 0.5
22.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
22.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.302 * [taylor]: Taking taylor expansion of k in k
22.302 * [backup-simplify]: Simplify 0 into 0
22.302 * [backup-simplify]: Simplify 1 into 1
22.302 * [backup-simplify]: Simplify (/ 1 1) into 1
22.302 * [taylor]: Taking taylor expansion of 1.0 in k
22.302 * [backup-simplify]: Simplify 1.0 into 1.0
22.302 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
22.302 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
22.302 * [taylor]: Taking taylor expansion of -2.0 in k
22.302 * [backup-simplify]: Simplify -2.0 into -2.0
22.302 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.302 * [taylor]: Taking taylor expansion of PI in k
22.302 * [backup-simplify]: Simplify PI into PI
22.302 * [taylor]: Taking taylor expansion of n in k
22.302 * [backup-simplify]: Simplify n into n
22.302 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.302 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
22.303 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
22.303 * [backup-simplify]: Simplify (+ 1 0) into 1
22.303 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
22.304 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
22.304 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
22.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
22.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k
22.304 * [taylor]: Taking taylor expansion of -1 in k
22.304 * [backup-simplify]: Simplify -1 into -1
22.304 * [taylor]: Taking taylor expansion of k in k
22.304 * [backup-simplify]: Simplify 0 into 0
22.304 * [backup-simplify]: Simplify 1 into 1
22.305 * [backup-simplify]: Simplify (/ -1 1) into -1
22.305 * [backup-simplify]: Simplify (sqrt 0) into 0
22.306 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.307 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
22.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
22.307 * [taylor]: Taking taylor expansion of 1.0 in k
22.307 * [backup-simplify]: Simplify 1.0 into 1.0
22.307 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
22.307 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
22.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
22.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
22.307 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
22.307 * [taylor]: Taking taylor expansion of 0.5 in k
22.307 * [backup-simplify]: Simplify 0.5 into 0.5
22.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
22.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k
22.307 * [taylor]: Taking taylor expansion of k in k
22.307 * [backup-simplify]: Simplify 0 into 0
22.307 * [backup-simplify]: Simplify 1 into 1
22.308 * [backup-simplify]: Simplify (/ 1 1) into 1
22.308 * [taylor]: Taking taylor expansion of 1.0 in k
22.308 * [backup-simplify]: Simplify 1.0 into 1.0
22.308 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
22.308 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
22.308 * [taylor]: Taking taylor expansion of -2.0 in k
22.308 * [backup-simplify]: Simplify -2.0 into -2.0
22.308 * [taylor]: Taking taylor expansion of (/ PI n) in k
22.308 * [taylor]: Taking taylor expansion of PI in k
22.308 * [backup-simplify]: Simplify PI into PI
22.308 * [taylor]: Taking taylor expansion of n in k
22.308 * [backup-simplify]: Simplify n into n
22.308 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
22.308 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
22.308 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
22.309 * [backup-simplify]: Simplify (+ 1 0) into 1
22.309 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
22.309 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
22.310 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))
22.310 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
22.310 * [taylor]: Taking taylor expansion of (/ -1 k) in k
22.310 * [taylor]: Taking taylor expansion of -1 in k
22.310 * [backup-simplify]: Simplify -1 into -1
22.310 * [taylor]: Taking taylor expansion of k in k
22.310 * [backup-simplify]: Simplify 0 into 0
22.310 * [backup-simplify]: Simplify 1 into 1
22.311 * [backup-simplify]: Simplify (/ -1 1) into -1
22.311 * [backup-simplify]: Simplify (sqrt 0) into 0
22.313 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
22.313 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
22.314 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))
22.314 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
22.314 * [taylor]: Taking taylor expansion of +nan.0 in n
22.314 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
22.314 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
22.314 * [taylor]: Taking taylor expansion of 0.5 in n
22.314 * [backup-simplify]: Simplify 0.5 into 0.5
22.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
22.314 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.314 * [taylor]: Taking taylor expansion of k in n
22.314 * [backup-simplify]: Simplify k into k
22.314 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.314 * [taylor]: Taking taylor expansion of 1.0 in n
22.314 * [backup-simplify]: Simplify 1.0 into 1.0
22.315 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.315 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.315 * [taylor]: Taking taylor expansion of -2.0 in n
22.315 * [backup-simplify]: Simplify -2.0 into -2.0
22.315 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.315 * [taylor]: Taking taylor expansion of PI in n
22.315 * [backup-simplify]: Simplify PI into PI
22.315 * [taylor]: Taking taylor expansion of n in n
22.315 * [backup-simplify]: Simplify 0 into 0
22.315 * [backup-simplify]: Simplify 1 into 1
22.315 * [backup-simplify]: Simplify (/ PI 1) into PI
22.316 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.317 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.317 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.320 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
22.321 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.322 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.324 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.325 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
22.329 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
22.330 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
22.331 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
22.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
22.331 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
22.331 * [taylor]: Taking taylor expansion of +nan.0 in n
22.331 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.331 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
22.331 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
22.331 * [taylor]: Taking taylor expansion of 0.5 in n
22.331 * [backup-simplify]: Simplify 0.5 into 0.5
22.331 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
22.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.331 * [taylor]: Taking taylor expansion of k in n
22.331 * [backup-simplify]: Simplify k into k
22.331 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.331 * [taylor]: Taking taylor expansion of 1.0 in n
22.331 * [backup-simplify]: Simplify 1.0 into 1.0
22.331 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.331 * [taylor]: Taking taylor expansion of -2.0 in n
22.331 * [backup-simplify]: Simplify -2.0 into -2.0
22.331 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.331 * [taylor]: Taking taylor expansion of PI in n
22.331 * [backup-simplify]: Simplify PI into PI
22.331 * [taylor]: Taking taylor expansion of n in n
22.331 * [backup-simplify]: Simplify 0 into 0
22.331 * [backup-simplify]: Simplify 1 into 1
22.332 * [backup-simplify]: Simplify (/ PI 1) into PI
22.332 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.333 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.334 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.335 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.336 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
22.337 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.338 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.340 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.341 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
22.342 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
22.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
22.344 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
22.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
22.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
22.346 * [backup-simplify]: Simplify (+ 0 0) into 0
22.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.349 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
22.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0
22.353 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.354 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0
22.354 * [backup-simplify]: Simplify 0 into 0
22.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
22.361 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
22.362 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))
22.362 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n
22.362 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n
22.362 * [taylor]: Taking taylor expansion of +nan.0 in n
22.362 * [backup-simplify]: Simplify +nan.0 into +nan.0
22.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n
22.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n
22.362 * [taylor]: Taking taylor expansion of 0.5 in n
22.362 * [backup-simplify]: Simplify 0.5 into 0.5
22.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n
22.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
22.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n
22.363 * [taylor]: Taking taylor expansion of k in n
22.363 * [backup-simplify]: Simplify k into k
22.363 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
22.363 * [taylor]: Taking taylor expansion of 1.0 in n
22.363 * [backup-simplify]: Simplify 1.0 into 1.0
22.363 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
22.363 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
22.363 * [taylor]: Taking taylor expansion of -2.0 in n
22.363 * [backup-simplify]: Simplify -2.0 into -2.0
22.363 * [taylor]: Taking taylor expansion of (/ PI n) in n
22.363 * [taylor]: Taking taylor expansion of PI in n
22.363 * [backup-simplify]: Simplify PI into PI
22.363 * [taylor]: Taking taylor expansion of n in n
22.363 * [backup-simplify]: Simplify 0 into 0
22.363 * [backup-simplify]: Simplify 1 into 1
22.364 * [backup-simplify]: Simplify (/ PI 1) into PI
22.364 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
22.365 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
22.365 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
22.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
22.368 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))
22.370 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))
22.371 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))
22.372 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))
22.374 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
22.375 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))
22.379 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
22.380 * * * [progress]: simplifying candidates
22.389 * [simplify]: Simplifying:
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (exp (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (sqrt k))
  (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt 1) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt 1) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0)))
  (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 1)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (sqrt k) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) 1)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (- (log 1.0) (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))))
  (- (log 1.0) (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))))
  (- (log 1.0) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))
  (- (log 1.0) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))
  (- (log 1.0) (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (- (log 1.0) (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (exp (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (* 1.0 1.0) 1.0) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (* 1.0 1.0) 1.0) (* (* (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (cbrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (cbrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (* (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (- 1.0)
  (- (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (* (cbrt k) (cbrt k))) 1))
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  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1.0 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (sqrt k)) 1))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt 1) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt 1) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt 1) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt 1) 1))
  (/ 1.0 (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (sqrt k)) 1))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ 1 1))
  (/ 1.0 (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 1)
  (/ 1.0 (sqrt k))
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt 1.0))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1.0))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.0)
  (/ 1.0 (sqrt k))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (- (+ (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))))))))
  (- (+ (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))))
  (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))
  (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
  (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))
22.412 * * [simplify]: Extracting # 0 : cost  0
22.414 * * [simplify]: Extracting # 1 : cost  0
22.415 * * [simplify]: Extracting # 2 : cost  0
22.416 * * [simplify]: Extracting # 3 : cost  0
22.418 * * [simplify]: Extracting # 4 : cost  0
22.420 * * [simplify]: Extracting # 5 : cost  0
22.421 * * [simplify]: Extracting # 6 : cost  0
22.423 * * [simplify]: Extracting # 7 : cost  0
22.425 * * [simplify]: Extracting # 8 : cost  0
22.427 * * [simplify]: Extracting # 9 : cost  0
22.429 * * [simplify]: Extracting # 10 : cost  0
22.440 * * [simplify]: Extracting # 11 : cost  0
22.442 * * [simplify]: Extracting # 12 : cost  0
22.444 * * [simplify]: Extracting # 13 : cost  0
22.446 * * [simplify]: Extracting # 14 : cost  0
22.448 * * [simplify]: Extracting # 15 : cost  0
22.450 * * [simplify]: Extracting # 16 : cost  0
22.452 * * [simplify]: Extracting # 17 : cost  0
22.454 * * [simplify]: Extracting # 18 : cost  0
22.456 * * [simplify]: Extracting # 19 : cost  0
22.458 * * [simplify]: Extracting # 20 : cost  0
22.460 * * [simplify]: Extracting # 21 : cost  0
22.462 * * [simplify]: Extracting # 22 : cost  0
22.465 * * [simplify]: Extracting # 23 : cost  0
22.467 * * [simplify]: Extracting # 24 : cost  0
22.469 * * [simplify]: Extracting # 25 : cost  0
22.472 * * [simplify]: Extracting # 26 : cost  0
22.474 * * [simplify]: Extracting # 27 : cost  0
22.476 * * [simplify]: Extracting # 28 : cost  0
22.478 * * [simplify]: Extracting # 29 : cost  0
22.480 * * [simplify]: Extracting # 30 : cost  0
22.483 * * [simplify]: Extracting # 31 : cost  0
22.485 * * [simplify]: Extracting # 32 : cost  0
22.487 * * [simplify]: Extracting # 33 : cost  0
22.489 * * [simplify]: Extracting # 34 : cost  0
22.491 * * [simplify]: Extracting # 35 : cost  0
22.494 * * [simplify]: Extracting # 36 : cost  0
22.496 * * [simplify]: iteration  0 :  602  enodes  (cost  8036 )
22.899 * * [simplify]: Extracting # 0 : cost  0
22.904 * * [simplify]: Extracting # 1 : cost  0
22.909 * * [simplify]: Extracting # 2 : cost  0
22.914 * * [simplify]: Extracting # 3 : cost  0
22.919 * * [simplify]: Extracting # 4 : cost  0
22.931 * * [simplify]: Extracting # 5 : cost  0
22.936 * * [simplify]: Extracting # 6 : cost  0
22.941 * * [simplify]: Extracting # 7 : cost  0
22.946 * * [simplify]: Extracting # 8 : cost  0
22.951 * * [simplify]: iteration  1 :  1714  enodes  (cost  7688 )
23.734 * * [simplify]: Extracting # 0 : cost  0
23.760 * * [simplify]: Extracting # 1 : cost  0
23.776 * * [simplify]: Extracting # 2 : cost  0
23.791 * * [simplify]: Extracting # 3 : cost  0
23.807 * * [simplify]: Extracting # 4 : cost  0
23.822 * * [simplify]: Extracting # 5 : cost  0
23.837 * * [simplify]: Extracting # 6 : cost  0
23.853 * * [simplify]: iteration done:  5000  enodes  (cost  7412 )
23.859 * [simplify]: Simplified to:
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (log (* 2.0 (* n PI)))
  (log (* 2.0 (* n PI)))
  (log (* 2.0 (* n PI)))
  (exp (* (* 2.0 PI) n))
  (* (* (pow n 3) (pow 2.0 3)) (pow PI 3))
  (* (pow n 3) (pow (* 2.0 PI) 3))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (pow (* 2.0 (* n PI)) 3)
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* 2.0 PI)
  (* n PI)
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (exp (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (sqrt k) k) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3))
  (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (pow (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3)
  (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (- (sqrt k))
  (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (fabs (cbrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (/ (fabs (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0)))
  (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  1
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0)))
  (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  1
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (sqrt k) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt k)
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))
  (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* 2.0 (* n PI))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k)))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
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  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
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  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
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  (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))
  (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (exp (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
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  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
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  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
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  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
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  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))))
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  (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
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  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
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  (/ (cbrt 1.0) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (cbrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (/ (cbrt 1.0) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (cbrt 1.0) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (cbrt 1.0) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ (cbrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt k))
  (* (cbrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ (cbrt 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (/ (sqrt 1.0) (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (sqrt 1.0) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
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  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (sqrt 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
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  (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))))
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  (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
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  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
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  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
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  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (sqrt 1.0) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
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  (* (sqrt 1.0) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (sqrt 1.0) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
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  (sqrt 1.0)
  (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
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  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
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  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* (sqrt 1.0) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
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  (/ (sqrt 1.0) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (sqrt 1.0) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (sqrt 1.0) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt 1.0)
  (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
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  (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
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  (/ (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1 (/ (fabs (cbrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))))
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  (/ 1.0 (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (fabs (cbrt k)))
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  (/ 1 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
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  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (/ 1.0 (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1.0 (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  1
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (/ 1.0 (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1.0 (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  1
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  1
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1 (sqrt k))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ 1.0 (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.0)
  (/ 1.0 (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (fabs (cbrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (* (/ 1.0 (fabs (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (/ 1.0 (fabs (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (fabs (cbrt k)))
  (/ 1.0 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* 1.0 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  1.0
  (* 1.0 (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))
  (/ 1.0 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* 1.0 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  1.0
  (* 1.0 (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)))
  1.0
  (/ 1.0 (sqrt k))
  (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt 1.0))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1.0))
  (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.0)
  (/ 1.0 (sqrt k))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (+ (- (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (+ (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (- (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (+ (- (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)))) (* +nan.0 (- (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)) (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)))))))))))
  (+ (/ (- +nan.0) (* k (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))) (- (/ +nan.0 (* (pow k 2) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))) (/ +nan.0 (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))))
  (+ (- (/ +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (/ +nan.0 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (/ +nan.0 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))
  (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5)) (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.5)))) (- (+ (pow (* 2.0 (* n PI)) 0.5) (* (* (* (pow k 2) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.5) (log n))) 0.25)) (* 0.5 (* k (+ (* (pow (* 2.0 (* n PI)) 0.5) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.5) (log n)))))))
  (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
  (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))
  (+ (* (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 3)) (- +nan.0)) (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2)))))
  (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))
23.864 * * * [progress]: adding candidates to table
25.992 * [progress]: [Phase 3 of 3] Extracting.
25.992 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (* (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))))> #<alt (λ (k n) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ (* 1.0 (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))> #<alt (λ (k n) (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>)
25.997 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k)
25.997 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (#<alt (λ (k n) (/ (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (* (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))))> #<alt (λ (k n) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ (* 1.0 (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))> #<alt (λ (k n) (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>)
26.127 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (#<alt (λ (k n) (/ (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>)
26.221 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (* (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))))> #<alt (λ (k n) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ (* 1.0 (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))> #<alt (λ (k n) (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>)
26.348 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (* (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))))> #<alt (λ (k n) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))> #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))> #<alt (λ (k n) (/ (* 1.0 (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))> #<alt (λ (k n) (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k)))> #<alt (λ (k n) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>)
26.477 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
26.478 * [simplify]: Simplifying:
  (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))
26.478 * * [simplify]: Extracting # 0 : cost  0
26.478 * * [simplify]: Extracting # 1 : cost  0
26.478 * * [simplify]: Extracting # 2 : cost  0
26.478 * * [simplify]: Extracting # 3 : cost  0
26.478 * * [simplify]: Extracting # 4 : cost  0
26.478 * * [simplify]: Extracting # 5 : cost  0
26.478 * * [simplify]: Extracting # 6 : cost  0
26.478 * * [simplify]: Extracting # 7 : cost  0
26.478 * * [simplify]: Extracting # 8 : cost  0
26.479 * * [simplify]: Extracting # 9 : cost  0
26.479 * * [simplify]: Extracting # 10 : cost  0
26.479 * * [simplify]: iteration  0 :  16  enodes  (cost  24 )
26.481 * * [simplify]: Extracting # 0 : cost  0
26.481 * * [simplify]: iteration  1 :  20  enodes  (cost  24 )
26.483 * * [simplify]: Extracting # 0 : cost  0
26.483 * * [simplify]: iteration done:  20  enodes  (cost  24 )
26.483 * [simplify]: Simplified to:
  (/ (* 1.0 (pow (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt k))
35.815 * [regime-testing]: Baseline error score: 0.9717297964206513
35.819 * [regime-testing]: Oracle error score: 0.10150044910952691
35.827 * [regime-testing]: End program error score: 0.9717297964206513