6.708 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.082 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.083 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.091 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.094 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.102 * * [simplify]: iteration 3 : 114 enodes (cost 16 ) 0.120 * * [simplify]: iteration 4 : 300 enodes (cost 16 ) 0.190 * * [simplify]: iteration 5 : 859 enodes (cost 16 ) 0.505 * * [simplify]: iteration 6 : 3256 enodes (cost 16 ) 1.875 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 1.875 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.875 * * [progress]: iteration 1 / 4 1.875 * * * [progress]: picking best candidate 1.877 * * * * [pick]: Picked # 1.877 * * * [progress]: localizing error 1.891 * * * [progress]: generating rewritten candidates 1.891 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.894 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.903 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.910 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.937 * * * [progress]: generating series expansions 1.937 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.937 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.937 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.937 * [taylor]: Taking taylor expansion of 1.0 in k 1.937 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.937 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.937 * [taylor]: Taking taylor expansion of k in k 1.939 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.939 * [taylor]: Taking taylor expansion of 1.0 in k 1.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.939 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.939 * [taylor]: Taking taylor expansion of k in k 1.950 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.950 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.950 * [taylor]: Taking taylor expansion of 1.0 in k 1.950 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.950 * [taylor]: Taking taylor expansion of k in k 1.951 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.951 * [taylor]: Taking taylor expansion of 1.0 in k 1.951 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.951 * [taylor]: Taking taylor expansion of k in k 1.962 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.962 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.962 * [taylor]: Taking taylor expansion of 1.0 in k 1.962 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.962 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.962 * [taylor]: Taking taylor expansion of -1 in k 1.962 * [taylor]: Taking taylor expansion of k in k 1.963 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.963 * [taylor]: Taking taylor expansion of 1.0 in k 1.963 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.963 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.963 * [taylor]: Taking taylor expansion of -1 in k 1.963 * [taylor]: Taking taylor expansion of k in k 1.975 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.975 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.975 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.976 * [taylor]: Taking taylor expansion of 0.5 in k 1.976 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.976 * [taylor]: Taking taylor expansion of 1.0 in k 1.976 * [taylor]: Taking taylor expansion of k in k 1.976 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.976 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.976 * [taylor]: Taking taylor expansion of 2.0 in k 1.976 * [taylor]: Taking taylor expansion of (* n PI) in k 1.976 * [taylor]: Taking taylor expansion of n in k 1.976 * [taylor]: Taking taylor expansion of PI in k 1.977 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.977 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.977 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.977 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.977 * [taylor]: Taking taylor expansion of 0.5 in n 1.977 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.977 * [taylor]: Taking taylor expansion of 1.0 in n 1.977 * [taylor]: Taking taylor expansion of k in n 1.977 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.977 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.977 * [taylor]: Taking taylor expansion of 2.0 in n 1.977 * [taylor]: Taking taylor expansion of (* n PI) in n 1.977 * [taylor]: Taking taylor expansion of n in n 1.977 * [taylor]: Taking taylor expansion of PI in n 1.982 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.982 * [taylor]: Taking taylor expansion of 0.5 in n 1.982 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.982 * [taylor]: Taking taylor expansion of 1.0 in n 1.982 * [taylor]: Taking taylor expansion of k in n 1.982 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 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 * [taylor]: Taking taylor expansion of (* n PI) in n 1.982 * [taylor]: Taking taylor expansion of n in n 1.982 * [taylor]: Taking taylor expansion of PI in n 1.988 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.988 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.988 * [taylor]: Taking taylor expansion of 0.5 in k 1.988 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.988 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.988 * [taylor]: Taking taylor expansion of 1.0 in k 1.988 * [taylor]: Taking taylor expansion of k in k 1.988 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.988 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.988 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.988 * [taylor]: Taking taylor expansion of 2.0 in k 1.988 * [taylor]: Taking taylor expansion of PI in k 1.989 * [taylor]: Taking taylor expansion of (log n) in k 1.989 * [taylor]: Taking taylor expansion of n in k 1.999 * [taylor]: Taking taylor expansion of 0 in k 2.015 * [taylor]: Taking taylor expansion of 0 in k 2.036 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.037 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.037 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.037 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.037 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.037 * [taylor]: Taking taylor expansion of 0.5 in k 2.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.037 * [taylor]: Taking taylor expansion of 1.0 in k 2.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.037 * [taylor]: Taking taylor expansion of k in k 2.037 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.037 * [taylor]: Taking taylor expansion of 2.0 in k 2.037 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.037 * [taylor]: Taking taylor expansion of PI in k 2.037 * [taylor]: Taking taylor expansion of n in k 2.038 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.038 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.038 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.038 * [taylor]: Taking taylor expansion of 0.5 in n 2.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.038 * [taylor]: Taking taylor expansion of 1.0 in n 2.038 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.038 * [taylor]: Taking taylor expansion of k in n 2.038 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.038 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.038 * [taylor]: Taking taylor expansion of 2.0 in n 2.038 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.038 * [taylor]: Taking taylor expansion of PI in n 2.038 * [taylor]: Taking taylor expansion of n in n 2.042 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.042 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.042 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.042 * [taylor]: Taking taylor expansion of 0.5 in n 2.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.042 * [taylor]: Taking taylor expansion of 1.0 in n 2.042 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.042 * [taylor]: Taking taylor expansion of k in n 2.042 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.042 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.042 * [taylor]: Taking taylor expansion of 2.0 in n 2.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.042 * [taylor]: Taking taylor expansion of PI in n 2.042 * [taylor]: Taking taylor expansion of n in n 2.046 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.046 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.046 * [taylor]: Taking taylor expansion of 0.5 in k 2.046 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.046 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.046 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.046 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.046 * [taylor]: Taking taylor expansion of 2.0 in k 2.046 * [taylor]: Taking taylor expansion of PI in k 2.047 * [taylor]: Taking taylor expansion of (log n) in k 2.047 * [taylor]: Taking taylor expansion of n in k 2.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.047 * [taylor]: Taking taylor expansion of 1.0 in k 2.047 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.047 * [taylor]: Taking taylor expansion of k in k 2.057 * [taylor]: Taking taylor expansion of 0 in k 2.064 * [taylor]: Taking taylor expansion of 0 in k 2.073 * [taylor]: Taking taylor expansion of 0 in k 2.075 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.075 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.075 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.075 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.075 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.075 * [taylor]: Taking taylor expansion of 0.5 in k 2.075 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.075 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.075 * [taylor]: Taking taylor expansion of k in k 2.075 * [taylor]: Taking taylor expansion of 1.0 in k 2.075 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.075 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.075 * [taylor]: Taking taylor expansion of -2.0 in k 2.075 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.075 * [taylor]: Taking taylor expansion of PI in k 2.075 * [taylor]: Taking taylor expansion of n in k 2.076 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.076 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.076 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.076 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.076 * [taylor]: Taking taylor expansion of 0.5 in n 2.076 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.076 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.076 * [taylor]: Taking taylor expansion of k in n 2.076 * [taylor]: Taking taylor expansion of 1.0 in n 2.076 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.076 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.076 * [taylor]: Taking taylor expansion of -2.0 in n 2.076 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.076 * [taylor]: Taking taylor expansion of PI in n 2.076 * [taylor]: Taking taylor expansion of n in n 2.080 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.080 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.080 * [taylor]: Taking taylor expansion of 0.5 in n 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.080 * [taylor]: Taking taylor expansion of k in n 2.080 * [taylor]: Taking taylor expansion of 1.0 in n 2.080 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.080 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.080 * [taylor]: Taking taylor expansion of -2.0 in n 2.080 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.080 * [taylor]: Taking taylor expansion of PI in n 2.080 * [taylor]: Taking taylor expansion of n in n 2.084 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.084 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.084 * [taylor]: Taking taylor expansion of 0.5 in k 2.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.084 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.084 * [taylor]: Taking taylor expansion of k in k 2.084 * [taylor]: Taking taylor expansion of 1.0 in k 2.084 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.084 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.084 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.084 * [taylor]: Taking taylor expansion of -2.0 in k 2.084 * [taylor]: Taking taylor expansion of PI in k 2.085 * [taylor]: Taking taylor expansion of (log n) in k 2.085 * [taylor]: Taking taylor expansion of n in k 2.094 * [taylor]: Taking taylor expansion of 0 in k 2.104 * [taylor]: Taking taylor expansion of 0 in k 2.113 * [taylor]: Taking taylor expansion of 0 in k 2.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.114 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.114 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.114 * [taylor]: Taking taylor expansion of 2.0 in n 2.114 * [taylor]: Taking taylor expansion of (* n PI) in n 2.114 * [taylor]: Taking taylor expansion of n in n 2.114 * [taylor]: Taking taylor expansion of PI in n 2.114 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.114 * [taylor]: Taking taylor expansion of 2.0 in n 2.114 * [taylor]: Taking taylor expansion of (* n PI) in n 2.114 * [taylor]: Taking taylor expansion of n in n 2.114 * [taylor]: Taking taylor expansion of PI in n 2.126 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.126 * [taylor]: Taking taylor expansion of 2.0 in n 2.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.126 * [taylor]: Taking taylor expansion of PI in n 2.126 * [taylor]: Taking taylor expansion of n in n 2.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.127 * [taylor]: Taking taylor expansion of 2.0 in n 2.127 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.127 * [taylor]: Taking taylor expansion of PI in n 2.127 * [taylor]: Taking taylor expansion of n in n 2.136 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.136 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.136 * [taylor]: Taking taylor expansion of -2.0 in n 2.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.136 * [taylor]: Taking taylor expansion of PI in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.136 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.136 * [taylor]: Taking taylor expansion of -2.0 in n 2.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.136 * [taylor]: Taking taylor expansion of PI in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.145 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.145 * [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 2.145 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.145 * [taylor]: Taking taylor expansion of 1.0 in n 2.145 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.145 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.145 * [taylor]: Taking taylor expansion of k in n 2.145 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.145 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.146 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.146 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.146 * [taylor]: Taking taylor expansion of 0.5 in n 2.146 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.146 * [taylor]: Taking taylor expansion of 1.0 in n 2.146 * [taylor]: Taking taylor expansion of k in n 2.146 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.146 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.146 * [taylor]: Taking taylor expansion of 2.0 in n 2.146 * [taylor]: Taking taylor expansion of (* n PI) in n 2.146 * [taylor]: Taking taylor expansion of n in n 2.146 * [taylor]: Taking taylor expansion of PI in n 2.151 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.151 * [taylor]: Taking taylor expansion of 1.0 in k 2.151 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.151 * [taylor]: Taking taylor expansion of k in k 2.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.152 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.152 * [taylor]: Taking taylor expansion of 0.5 in k 2.152 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.152 * [taylor]: Taking taylor expansion of 1.0 in k 2.153 * [taylor]: Taking taylor expansion of k in k 2.153 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.153 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.153 * [taylor]: Taking taylor expansion of 2.0 in k 2.153 * [taylor]: Taking taylor expansion of (* n PI) in k 2.153 * [taylor]: Taking taylor expansion of n in k 2.153 * [taylor]: Taking taylor expansion of PI in k 2.154 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.154 * [taylor]: Taking taylor expansion of 1.0 in k 2.154 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.154 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.154 * [taylor]: Taking taylor expansion of k in k 2.155 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.155 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.155 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.155 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.155 * [taylor]: Taking taylor expansion of 0.5 in k 2.155 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.155 * [taylor]: Taking taylor expansion of 1.0 in k 2.155 * [taylor]: Taking taylor expansion of k in k 2.155 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.155 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.155 * [taylor]: Taking taylor expansion of 2.0 in k 2.155 * [taylor]: Taking taylor expansion of (* n PI) in k 2.155 * [taylor]: Taking taylor expansion of n in k 2.155 * [taylor]: Taking taylor expansion of PI in k 2.156 * [taylor]: Taking taylor expansion of 0 in n 2.162 * [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 2.162 * [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 2.162 * [taylor]: Taking taylor expansion of +nan.0 in n 2.162 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.162 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.162 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.162 * [taylor]: Taking taylor expansion of 0.5 in n 2.162 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.162 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.162 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.162 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.162 * [taylor]: Taking taylor expansion of 1.0 in n 2.162 * [taylor]: Taking taylor expansion of (log PI) in n 2.162 * [taylor]: Taking taylor expansion of PI in n 2.164 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.164 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.164 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.164 * [taylor]: Taking taylor expansion of 1.0 in n 2.164 * [taylor]: Taking taylor expansion of (log n) in n 2.164 * [taylor]: Taking taylor expansion of n in n 2.165 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.165 * [taylor]: Taking taylor expansion of 1.0 in n 2.165 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.165 * [taylor]: Taking taylor expansion of 2.0 in n 2.184 * [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 2.184 * [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 2.184 * [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 2.184 * [taylor]: Taking taylor expansion of +nan.0 in n 2.184 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.184 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.184 * [taylor]: Taking taylor expansion of 0.5 in n 2.184 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.184 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.184 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.184 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.184 * [taylor]: Taking taylor expansion of 1.0 in n 2.184 * [taylor]: Taking taylor expansion of (log PI) in n 2.184 * [taylor]: Taking taylor expansion of PI in n 2.189 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.190 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.190 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.190 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.190 * [taylor]: Taking taylor expansion of 1.0 in n 2.190 * [taylor]: Taking taylor expansion of (log n) in n 2.190 * [taylor]: Taking taylor expansion of n in n 2.190 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.190 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.190 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.190 * [taylor]: Taking taylor expansion of 1.0 in n 2.190 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.190 * [taylor]: Taking taylor expansion of 2.0 in n 2.196 * [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 2.196 * [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 2.196 * [taylor]: Taking taylor expansion of +nan.0 in n 2.196 * [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 2.196 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.196 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.196 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.196 * [taylor]: Taking taylor expansion of 0.5 in n 2.196 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.196 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.196 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.196 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.196 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.196 * [taylor]: Taking taylor expansion of 1.0 in n 2.196 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.196 * [taylor]: Taking taylor expansion of 2.0 in n 2.198 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.198 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.198 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.198 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.198 * [taylor]: Taking taylor expansion of 1.0 in n 2.198 * [taylor]: Taking taylor expansion of (log PI) in n 2.198 * [taylor]: Taking taylor expansion of PI in n 2.200 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.200 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.200 * [taylor]: Taking taylor expansion of 1.0 in n 2.200 * [taylor]: Taking taylor expansion of (log n) in n 2.200 * [taylor]: Taking taylor expansion of n in n 2.204 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.204 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.204 * [taylor]: Taking taylor expansion of 2.0 in n 2.204 * [taylor]: Taking taylor expansion of (* n PI) in n 2.204 * [taylor]: Taking taylor expansion of n in n 2.204 * [taylor]: Taking taylor expansion of PI in n 2.254 * [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 2.254 * [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 2.254 * [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 2.254 * [taylor]: Taking taylor expansion of +nan.0 in n 2.254 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.254 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.254 * [taylor]: Taking taylor expansion of 0.5 in n 2.254 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.254 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.254 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.254 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.254 * [taylor]: Taking taylor expansion of 1.0 in n 2.254 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.254 * [taylor]: Taking taylor expansion of 2.0 in n 2.256 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.256 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.256 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.256 * [taylor]: Taking taylor expansion of 1.0 in n 2.256 * [taylor]: Taking taylor expansion of (log n) in n 2.256 * [taylor]: Taking taylor expansion of n in n 2.257 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.257 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.257 * [taylor]: Taking taylor expansion of 1.0 in n 2.257 * [taylor]: Taking taylor expansion of (log PI) in n 2.257 * [taylor]: Taking taylor expansion of PI in n 2.262 * [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 2.263 * [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 2.263 * [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 2.263 * [taylor]: Taking taylor expansion of +nan.0 in n 2.263 * [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 2.263 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.263 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.263 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.263 * [taylor]: Taking taylor expansion of 0.5 in n 2.263 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.263 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.263 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.263 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.263 * [taylor]: Taking taylor expansion of 1.0 in n 2.263 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.263 * [taylor]: Taking taylor expansion of 2.0 in n 2.265 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.265 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.265 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.265 * [taylor]: Taking taylor expansion of 1.0 in n 2.265 * [taylor]: Taking taylor expansion of (log PI) in n 2.265 * [taylor]: Taking taylor expansion of PI in n 2.267 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.267 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.267 * [taylor]: Taking taylor expansion of 1.0 in n 2.267 * [taylor]: Taking taylor expansion of (log n) in n 2.267 * [taylor]: Taking taylor expansion of n in n 2.271 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.271 * [taylor]: Taking taylor expansion of 2.0 in n 2.271 * [taylor]: Taking taylor expansion of (* n PI) in n 2.271 * [taylor]: Taking taylor expansion of n in n 2.271 * [taylor]: Taking taylor expansion of PI in n 2.274 * [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 2.274 * [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 2.274 * [taylor]: Taking taylor expansion of +nan.0 in n 2.274 * [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 2.274 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.274 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.274 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.274 * [taylor]: Taking taylor expansion of 0.5 in n 2.274 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.274 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.274 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.274 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.274 * [taylor]: Taking taylor expansion of 1.0 in n 2.274 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.274 * [taylor]: Taking taylor expansion of 2.0 in n 2.279 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.279 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.279 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.279 * [taylor]: Taking taylor expansion of 1.0 in n 2.279 * [taylor]: Taking taylor expansion of (log PI) in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.281 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.281 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.281 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.281 * [taylor]: Taking taylor expansion of 1.0 in n 2.281 * [taylor]: Taking taylor expansion of (log n) in n 2.281 * [taylor]: Taking taylor expansion of n in n 2.285 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.285 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.285 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.286 * [taylor]: Taking taylor expansion of 2.0 in n 2.286 * [taylor]: Taking taylor expansion of (* n PI) in n 2.286 * [taylor]: Taking taylor expansion of n in n 2.286 * [taylor]: Taking taylor expansion of PI in n 2.359 * [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 2.359 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.359 * [taylor]: Taking taylor expansion of 1.0 in n 2.359 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.359 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.359 * [taylor]: Taking taylor expansion of k in n 2.359 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.360 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.360 * [taylor]: Taking taylor expansion of 0.5 in n 2.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.360 * [taylor]: Taking taylor expansion of 1.0 in n 2.360 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.360 * [taylor]: Taking taylor expansion of k in n 2.360 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.360 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.360 * [taylor]: Taking taylor expansion of 2.0 in n 2.360 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.360 * [taylor]: Taking taylor expansion of PI in n 2.360 * [taylor]: Taking taylor expansion of n in n 2.366 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.366 * [taylor]: Taking taylor expansion of 1.0 in k 2.367 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.367 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.367 * [taylor]: Taking taylor expansion of k in k 2.368 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.368 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.368 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.368 * [taylor]: Taking taylor expansion of 0.5 in k 2.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.368 * [taylor]: Taking taylor expansion of 1.0 in k 2.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.368 * [taylor]: Taking taylor expansion of k in k 2.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.368 * [taylor]: Taking taylor expansion of 2.0 in k 2.368 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.368 * [taylor]: Taking taylor expansion of PI in k 2.368 * [taylor]: Taking taylor expansion of n in k 2.369 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.369 * [taylor]: Taking taylor expansion of 1.0 in k 2.369 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.369 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.369 * [taylor]: Taking taylor expansion of k in k 2.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.370 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.370 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.370 * [taylor]: Taking taylor expansion of 0.5 in k 2.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.370 * [taylor]: Taking taylor expansion of 1.0 in k 2.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.370 * [taylor]: Taking taylor expansion of k in k 2.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.371 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.371 * [taylor]: Taking taylor expansion of 2.0 in k 2.371 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.371 * [taylor]: Taking taylor expansion of PI in k 2.371 * [taylor]: Taking taylor expansion of n in k 2.372 * [taylor]: Taking taylor expansion of 0 in n 2.373 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.373 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.373 * [taylor]: Taking taylor expansion of +nan.0 in n 2.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.373 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.373 * [taylor]: Taking taylor expansion of 0.5 in n 2.373 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.373 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.373 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.373 * [taylor]: Taking taylor expansion of 2.0 in n 2.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.373 * [taylor]: Taking taylor expansion of PI in n 2.373 * [taylor]: Taking taylor expansion of n in n 2.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.375 * [taylor]: Taking taylor expansion of k in n 2.383 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.383 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.383 * [taylor]: Taking taylor expansion of +nan.0 in n 2.383 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.383 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.383 * [taylor]: Taking taylor expansion of 0.5 in n 2.383 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.383 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.383 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.383 * [taylor]: Taking taylor expansion of 2.0 in n 2.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.383 * [taylor]: Taking taylor expansion of PI in n 2.383 * [taylor]: Taking taylor expansion of n in n 2.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.385 * [taylor]: Taking taylor expansion of 1.0 in n 2.385 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.385 * [taylor]: Taking taylor expansion of k in n 2.402 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.402 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.402 * [taylor]: Taking taylor expansion of +nan.0 in n 2.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.402 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.402 * [taylor]: Taking taylor expansion of 0.5 in n 2.402 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.402 * [taylor]: Taking taylor expansion of 2.0 in n 2.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.402 * [taylor]: Taking taylor expansion of PI in n 2.402 * [taylor]: Taking taylor expansion of n in n 2.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.403 * [taylor]: Taking taylor expansion of 1.0 in n 2.403 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.403 * [taylor]: Taking taylor expansion of k in n 2.412 * [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 2.412 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.412 * [taylor]: Taking taylor expansion of 1.0 in n 2.412 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.412 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.412 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.413 * [taylor]: Taking taylor expansion of 0.5 in n 2.413 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.413 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.413 * [taylor]: Taking taylor expansion of k in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.413 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.413 * [taylor]: Taking taylor expansion of -2.0 in n 2.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.413 * [taylor]: Taking taylor expansion of PI in n 2.413 * [taylor]: Taking taylor expansion of n in n 2.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.416 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.416 * [taylor]: Taking taylor expansion of -1 in n 2.416 * [taylor]: Taking taylor expansion of k in n 2.417 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.417 * [taylor]: Taking taylor expansion of 1.0 in k 2.417 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.418 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.418 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.418 * [taylor]: Taking taylor expansion of 0.5 in k 2.418 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.418 * [taylor]: Taking taylor expansion of k in k 2.418 * [taylor]: Taking taylor expansion of 1.0 in k 2.418 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.418 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.418 * [taylor]: Taking taylor expansion of -2.0 in k 2.418 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.418 * [taylor]: Taking taylor expansion of PI in k 2.418 * [taylor]: Taking taylor expansion of n in k 2.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.419 * [taylor]: Taking taylor expansion of -1 in k 2.419 * [taylor]: Taking taylor expansion of k in k 2.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.420 * [taylor]: Taking taylor expansion of 1.0 in k 2.420 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.420 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.420 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.421 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.421 * [taylor]: Taking taylor expansion of 0.5 in k 2.421 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.421 * [taylor]: Taking taylor expansion of k in k 2.421 * [taylor]: Taking taylor expansion of 1.0 in k 2.421 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.421 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.421 * [taylor]: Taking taylor expansion of -2.0 in k 2.421 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.421 * [taylor]: Taking taylor expansion of PI in k 2.421 * [taylor]: Taking taylor expansion of n in k 2.422 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.422 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.422 * [taylor]: Taking taylor expansion of -1 in k 2.422 * [taylor]: Taking taylor expansion of k in k 2.423 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.423 * [taylor]: Taking taylor expansion of +nan.0 in n 2.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.423 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.423 * [taylor]: Taking taylor expansion of 0.5 in n 2.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.423 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.424 * [taylor]: Taking taylor expansion of k in n 2.424 * [taylor]: Taking taylor expansion of 1.0 in n 2.424 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.424 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.424 * [taylor]: Taking taylor expansion of -2.0 in n 2.424 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.424 * [taylor]: Taking taylor expansion of PI in n 2.424 * [taylor]: Taking taylor expansion of n in n 2.433 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.433 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.433 * [taylor]: Taking taylor expansion of +nan.0 in n 2.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.433 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.433 * [taylor]: Taking taylor expansion of 0.5 in n 2.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.433 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.433 * [taylor]: Taking taylor expansion of k in n 2.433 * [taylor]: Taking taylor expansion of 1.0 in n 2.433 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.433 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.433 * [taylor]: Taking taylor expansion of -2.0 in n 2.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.433 * [taylor]: Taking taylor expansion of PI in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.454 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.454 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.454 * [taylor]: Taking taylor expansion of +nan.0 in n 2.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.454 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.455 * [taylor]: Taking taylor expansion of 0.5 in n 2.455 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.455 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.455 * [taylor]: Taking taylor expansion of k in n 2.455 * [taylor]: Taking taylor expansion of 1.0 in n 2.455 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.455 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.455 * [taylor]: Taking taylor expansion of -2.0 in n 2.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.455 * [taylor]: Taking taylor expansion of PI in n 2.455 * [taylor]: Taking taylor expansion of n in n 2.464 * * * [progress]: simplifying candidates 2.467 * [simplify]: Simplifying using # : (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (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))) (- (+ (* +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))))) (- (+ (* 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)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +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)))))))))))) 2.489 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 2.566 * * [simplify]: iteration 1 : 987 enodes (cost 2720 ) 2.797 * * [simplify]: iteration 2 : 3678 enodes (cost 2554 ) 3.556 * * [simplify]: iteration done : 5001 enodes (cost 2539 ) 3.557 * [simplify]: Simplified to: (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (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 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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 k) (sqrt 1.0))) (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 (* (* 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (* n PI) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 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)))) (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 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (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))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (- (+ (fma (* 0.25 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (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)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (fma (* (* (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 (- (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (- (fma (* +nan.0 (* (pow k 2) (pow (log n) 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 (- (* (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))))) (* +nan.0 (* (* k (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) (* (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) (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 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) +nan.0) (pow k 3))) (- (* +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))) 3.558 * * * [progress]: adding candidates to table 3.977 * * [progress]: iteration 2 / 4 3.977 * * * [progress]: picking best candidate 4.011 * * * * [pick]: Picked # 4.011 * * * [progress]: localizing error 4.027 * * * [progress]: generating rewritten candidates 4.027 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.030 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.033 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.042 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.053 * * * [progress]: generating series expansions 4.053 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.053 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.053 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.053 * [taylor]: Taking taylor expansion of 1.0 in k 4.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.054 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.054 * [taylor]: Taking taylor expansion of k in k 4.055 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.055 * [taylor]: Taking taylor expansion of 1.0 in k 4.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.055 * [taylor]: Taking taylor expansion of k in k 4.067 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.067 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.067 * [taylor]: Taking taylor expansion of 1.0 in k 4.067 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.067 * [taylor]: Taking taylor expansion of k in k 4.068 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.068 * [taylor]: Taking taylor expansion of 1.0 in k 4.068 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.068 * [taylor]: Taking taylor expansion of k in k 4.082 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.082 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.082 * [taylor]: Taking taylor expansion of 1.0 in k 4.082 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.082 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.082 * [taylor]: Taking taylor expansion of -1 in k 4.082 * [taylor]: Taking taylor expansion of k in k 4.083 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.083 * [taylor]: Taking taylor expansion of 1.0 in k 4.083 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.084 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.084 * [taylor]: Taking taylor expansion of -1 in k 4.084 * [taylor]: Taking taylor expansion of k in k 4.095 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.095 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.095 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.095 * [taylor]: Taking taylor expansion of 1.0 in k 4.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.096 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.096 * [taylor]: Taking taylor expansion of k in k 4.097 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.097 * [taylor]: Taking taylor expansion of 1.0 in k 4.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.097 * [taylor]: Taking taylor expansion of k in k 4.108 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.108 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.108 * [taylor]: Taking taylor expansion of 1.0 in k 4.108 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.108 * [taylor]: Taking taylor expansion of k in k 4.109 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.109 * [taylor]: Taking taylor expansion of 1.0 in k 4.109 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.109 * [taylor]: Taking taylor expansion of k in k 4.119 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.119 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.119 * [taylor]: Taking taylor expansion of 1.0 in k 4.119 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.119 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.119 * [taylor]: Taking taylor expansion of -1 in k 4.119 * [taylor]: Taking taylor expansion of k in k 4.121 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.121 * [taylor]: Taking taylor expansion of 1.0 in k 4.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.121 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.121 * [taylor]: Taking taylor expansion of -1 in k 4.121 * [taylor]: Taking taylor expansion of k in k 4.132 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.133 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.133 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.133 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.133 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.133 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.133 * [taylor]: Taking taylor expansion of 0.5 in k 4.133 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.133 * [taylor]: Taking taylor expansion of 1.0 in k 4.133 * [taylor]: Taking taylor expansion of k in k 4.133 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.133 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.133 * [taylor]: Taking taylor expansion of 2.0 in k 4.133 * [taylor]: Taking taylor expansion of (* n PI) in k 4.133 * [taylor]: Taking taylor expansion of n in k 4.133 * [taylor]: Taking taylor expansion of PI in k 4.134 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.134 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.134 * [taylor]: Taking taylor expansion of 0.5 in n 4.134 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.134 * [taylor]: Taking taylor expansion of 1.0 in n 4.134 * [taylor]: Taking taylor expansion of k in n 4.134 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.134 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.134 * [taylor]: Taking taylor expansion of 2.0 in n 4.134 * [taylor]: Taking taylor expansion of (* n PI) in n 4.134 * [taylor]: Taking taylor expansion of n in n 4.134 * [taylor]: Taking taylor expansion of PI in n 4.139 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.139 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.140 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.140 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.140 * [taylor]: Taking taylor expansion of 0.5 in n 4.140 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.140 * [taylor]: Taking taylor expansion of 1.0 in n 4.140 * [taylor]: Taking taylor expansion of k in n 4.140 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.140 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.140 * [taylor]: Taking taylor expansion of 2.0 in n 4.140 * [taylor]: Taking taylor expansion of (* n PI) in n 4.140 * [taylor]: Taking taylor expansion of n in n 4.140 * [taylor]: Taking taylor expansion of PI in n 4.146 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.146 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.146 * [taylor]: Taking taylor expansion of 0.5 in k 4.146 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.146 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.146 * [taylor]: Taking taylor expansion of 1.0 in k 4.146 * [taylor]: Taking taylor expansion of k in k 4.146 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.146 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.146 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.146 * [taylor]: Taking taylor expansion of 2.0 in k 4.146 * [taylor]: Taking taylor expansion of PI in k 4.147 * [taylor]: Taking taylor expansion of (log n) in k 4.147 * [taylor]: Taking taylor expansion of n in k 4.156 * [taylor]: Taking taylor expansion of 0 in k 4.174 * [taylor]: Taking taylor expansion of 0 in k 4.193 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.193 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.193 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.193 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.193 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.193 * [taylor]: Taking taylor expansion of 0.5 in k 4.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.193 * [taylor]: Taking taylor expansion of 1.0 in k 4.193 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.193 * [taylor]: Taking taylor expansion of k in k 4.194 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.194 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.194 * [taylor]: Taking taylor expansion of 2.0 in k 4.194 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.194 * [taylor]: Taking taylor expansion of PI in k 4.194 * [taylor]: Taking taylor expansion of n in k 4.195 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.195 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.195 * [taylor]: Taking taylor expansion of 0.5 in n 4.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.195 * [taylor]: Taking taylor expansion of 1.0 in n 4.195 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.195 * [taylor]: Taking taylor expansion of k in n 4.195 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.195 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.195 * [taylor]: Taking taylor expansion of 2.0 in n 4.195 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.195 * [taylor]: Taking taylor expansion of PI in n 4.195 * [taylor]: Taking taylor expansion of n in n 4.199 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.199 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.199 * [taylor]: Taking taylor expansion of 0.5 in n 4.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.199 * [taylor]: Taking taylor expansion of 1.0 in n 4.199 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.199 * [taylor]: Taking taylor expansion of k in n 4.199 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.199 * [taylor]: Taking taylor expansion of 2.0 in n 4.199 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.199 * [taylor]: Taking taylor expansion of PI in n 4.199 * [taylor]: Taking taylor expansion of n in n 4.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.203 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.203 * [taylor]: Taking taylor expansion of 0.5 in k 4.203 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.203 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.203 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.203 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.203 * [taylor]: Taking taylor expansion of 2.0 in k 4.203 * [taylor]: Taking taylor expansion of PI in k 4.204 * [taylor]: Taking taylor expansion of (log n) in k 4.204 * [taylor]: Taking taylor expansion of n in k 4.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.204 * [taylor]: Taking taylor expansion of 1.0 in k 4.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.204 * [taylor]: Taking taylor expansion of k in k 4.213 * [taylor]: Taking taylor expansion of 0 in k 4.220 * [taylor]: Taking taylor expansion of 0 in k 4.230 * [taylor]: Taking taylor expansion of 0 in k 4.231 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.231 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.231 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.231 * [taylor]: Taking taylor expansion of 0.5 in k 4.231 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.231 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.231 * [taylor]: Taking taylor expansion of k in k 4.231 * [taylor]: Taking taylor expansion of 1.0 in k 4.231 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.231 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.231 * [taylor]: Taking taylor expansion of -2.0 in k 4.231 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.231 * [taylor]: Taking taylor expansion of PI in k 4.231 * [taylor]: Taking taylor expansion of n in k 4.232 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.232 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.232 * [taylor]: Taking taylor expansion of 0.5 in n 4.232 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.232 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.232 * [taylor]: Taking taylor expansion of k in n 4.232 * [taylor]: Taking taylor expansion of 1.0 in n 4.232 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.232 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.232 * [taylor]: Taking taylor expansion of -2.0 in n 4.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.233 * [taylor]: Taking taylor expansion of PI in n 4.233 * [taylor]: Taking taylor expansion of n in n 4.236 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.236 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.236 * [taylor]: Taking taylor expansion of 0.5 in n 4.236 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.236 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.236 * [taylor]: Taking taylor expansion of k in n 4.236 * [taylor]: Taking taylor expansion of 1.0 in n 4.237 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.237 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.237 * [taylor]: Taking taylor expansion of -2.0 in n 4.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.237 * [taylor]: Taking taylor expansion of PI in n 4.237 * [taylor]: Taking taylor expansion of n in n 4.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.240 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.240 * [taylor]: Taking taylor expansion of 0.5 in k 4.240 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.240 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.241 * [taylor]: Taking taylor expansion of k in k 4.241 * [taylor]: Taking taylor expansion of 1.0 in k 4.241 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.241 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.241 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.241 * [taylor]: Taking taylor expansion of -2.0 in k 4.241 * [taylor]: Taking taylor expansion of PI in k 4.242 * [taylor]: Taking taylor expansion of (log n) in k 4.242 * [taylor]: Taking taylor expansion of n in k 4.254 * [taylor]: Taking taylor expansion of 0 in k 4.261 * [taylor]: Taking taylor expansion of 0 in k 4.270 * [taylor]: Taking taylor expansion of 0 in k 4.271 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.271 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.271 * [taylor]: Taking taylor expansion of 2.0 in n 4.271 * [taylor]: Taking taylor expansion of (* n PI) in n 4.271 * [taylor]: Taking taylor expansion of n in n 4.271 * [taylor]: Taking taylor expansion of PI in n 4.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.271 * [taylor]: Taking taylor expansion of 2.0 in n 4.271 * [taylor]: Taking taylor expansion of (* n PI) in n 4.271 * [taylor]: Taking taylor expansion of n in n 4.271 * [taylor]: Taking taylor expansion of PI in n 4.283 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.283 * [taylor]: Taking taylor expansion of 2.0 in n 4.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.284 * [taylor]: Taking taylor expansion of PI in n 4.284 * [taylor]: Taking taylor expansion of n in n 4.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.284 * [taylor]: Taking taylor expansion of 2.0 in n 4.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.284 * [taylor]: Taking taylor expansion of PI in n 4.284 * [taylor]: Taking taylor expansion of n in n 4.293 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.293 * [taylor]: Taking taylor expansion of -2.0 in n 4.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.293 * [taylor]: Taking taylor expansion of PI in n 4.293 * [taylor]: Taking taylor expansion of n in n 4.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.293 * [taylor]: Taking taylor expansion of -2.0 in n 4.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.293 * [taylor]: Taking taylor expansion of PI in n 4.293 * [taylor]: Taking taylor expansion of n in n 4.302 * * * [progress]: simplifying candidates 4.304 * [simplify]: Simplifying using # : (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (- (+ (* +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 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))))) (- (+ (* 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)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 4.312 * * [simplify]: iteration 0 : 240 enodes (cost 1698 ) 4.357 * * [simplify]: iteration 1 : 589 enodes (cost 1576 ) 4.480 * * [simplify]: iteration 2 : 2011 enodes (cost 1464 ) 4.947 * * [simplify]: iteration done : 5000 enodes (cost 1454 ) 4.948 * [simplify]: Simplified to: (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (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) (/ 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) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (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) (/ 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) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (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 (* 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 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)) (* (/ (- 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (* n PI) (- (fma +nan.0 (pow k 2) (- +nan.0)) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (- (fma +nan.0 (pow k 2) (- +nan.0)) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (+ (* (* 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)))) (- (fma (* 0.25 (pow k 2)) (* (log n) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 4.949 * * * [progress]: adding candidates to table 5.397 * * [progress]: iteration 3 / 4 5.397 * * * [progress]: picking best candidate 5.437 * * * * [pick]: Picked # 5.437 * * * [progress]: localizing error 5.453 * * * [progress]: generating rewritten candidates 5.453 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.470 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.474 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.484 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.524 * * * [progress]: generating series expansions 5.524 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.525 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.525 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.525 * [taylor]: Taking taylor expansion of 1.0 in k 5.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.525 * [taylor]: Taking taylor expansion of k in k 5.527 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.527 * [taylor]: Taking taylor expansion of 1.0 in k 5.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.527 * [taylor]: Taking taylor expansion of k in k 5.538 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.538 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.538 * [taylor]: Taking taylor expansion of 1.0 in k 5.538 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.538 * [taylor]: Taking taylor expansion of k in k 5.539 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.539 * [taylor]: Taking taylor expansion of 1.0 in k 5.539 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.539 * [taylor]: Taking taylor expansion of k in k 5.550 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.550 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.550 * [taylor]: Taking taylor expansion of 1.0 in k 5.550 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.550 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.550 * [taylor]: Taking taylor expansion of -1 in k 5.550 * [taylor]: Taking taylor expansion of k in k 5.552 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.552 * [taylor]: Taking taylor expansion of 1.0 in k 5.552 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.552 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.552 * [taylor]: Taking taylor expansion of -1 in k 5.552 * [taylor]: Taking taylor expansion of k in k 5.564 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.564 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 5.564 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.564 * [taylor]: Taking taylor expansion of 1.0 in k 5.564 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.564 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.564 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.564 * [taylor]: Taking taylor expansion of 1/4 in k 5.564 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.564 * [taylor]: Taking taylor expansion of k in k 5.565 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.565 * [taylor]: Taking taylor expansion of 1.0 in k 5.565 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.565 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.565 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.565 * [taylor]: Taking taylor expansion of 1/4 in k 5.565 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.565 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.565 * [taylor]: Taking taylor expansion of k in k 5.628 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 5.628 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.628 * [taylor]: Taking taylor expansion of 1.0 in k 5.628 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.628 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.628 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.628 * [taylor]: Taking taylor expansion of 1/4 in k 5.628 * [taylor]: Taking taylor expansion of (log k) in k 5.628 * [taylor]: Taking taylor expansion of k in k 5.629 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.629 * [taylor]: Taking taylor expansion of 1.0 in k 5.629 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.629 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.629 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.629 * [taylor]: Taking taylor expansion of 1/4 in k 5.629 * [taylor]: Taking taylor expansion of (log k) in k 5.629 * [taylor]: Taking taylor expansion of k in k 5.686 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 5.686 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.686 * [taylor]: Taking taylor expansion of 1.0 in k 5.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.686 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.686 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.686 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.686 * [taylor]: Taking taylor expansion of -1 in k 5.686 * [taylor]: Taking taylor expansion of k in k 5.693 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.693 * [taylor]: Taking taylor expansion of 1.0 in k 5.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.693 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.693 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.693 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.693 * [taylor]: Taking taylor expansion of -1 in k 5.693 * [taylor]: Taking taylor expansion of k in k 5.734 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.734 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.734 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.734 * [taylor]: Taking taylor expansion of 0.5 in k 5.734 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.734 * [taylor]: Taking taylor expansion of 1.0 in k 5.734 * [taylor]: Taking taylor expansion of k in k 5.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.734 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.734 * [taylor]: Taking taylor expansion of 2.0 in k 5.734 * [taylor]: Taking taylor expansion of (* n PI) in k 5.734 * [taylor]: Taking taylor expansion of n in k 5.734 * [taylor]: Taking taylor expansion of PI in k 5.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.735 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.735 * [taylor]: Taking taylor expansion of 0.5 in n 5.735 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.736 * [taylor]: Taking taylor expansion of 1.0 in n 5.736 * [taylor]: Taking taylor expansion of k in n 5.736 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.736 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.736 * [taylor]: Taking taylor expansion of 2.0 in n 5.736 * [taylor]: Taking taylor expansion of (* n PI) in n 5.736 * [taylor]: Taking taylor expansion of n in n 5.736 * [taylor]: Taking taylor expansion of PI in n 5.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.741 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.741 * [taylor]: Taking taylor expansion of 0.5 in n 5.741 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.741 * [taylor]: Taking taylor expansion of 1.0 in n 5.741 * [taylor]: Taking taylor expansion of k in n 5.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.741 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.741 * [taylor]: Taking taylor expansion of 2.0 in n 5.741 * [taylor]: Taking taylor expansion of (* n PI) in n 5.741 * [taylor]: Taking taylor expansion of n in n 5.741 * [taylor]: Taking taylor expansion of PI in n 5.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.746 * [taylor]: Taking taylor expansion of 0.5 in k 5.747 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.747 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.747 * [taylor]: Taking taylor expansion of 1.0 in k 5.747 * [taylor]: Taking taylor expansion of k in k 5.747 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.747 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.747 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.747 * [taylor]: Taking taylor expansion of 2.0 in k 5.747 * [taylor]: Taking taylor expansion of PI in k 5.748 * [taylor]: Taking taylor expansion of (log n) in k 5.748 * [taylor]: Taking taylor expansion of n in k 5.757 * [taylor]: Taking taylor expansion of 0 in k 5.772 * [taylor]: Taking taylor expansion of 0 in k 5.792 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.792 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.792 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.792 * [taylor]: Taking taylor expansion of 0.5 in k 5.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.792 * [taylor]: Taking taylor expansion of 1.0 in k 5.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.792 * [taylor]: Taking taylor expansion of k in k 5.792 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.792 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.792 * [taylor]: Taking taylor expansion of 2.0 in k 5.792 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.792 * [taylor]: Taking taylor expansion of PI in k 5.792 * [taylor]: Taking taylor expansion of n in k 5.793 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.793 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.793 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.793 * [taylor]: Taking taylor expansion of 0.5 in n 5.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.793 * [taylor]: Taking taylor expansion of 1.0 in n 5.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.793 * [taylor]: Taking taylor expansion of k in n 5.793 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.793 * [taylor]: Taking taylor expansion of 2.0 in n 5.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.793 * [taylor]: Taking taylor expansion of PI in n 5.793 * [taylor]: Taking taylor expansion of n in n 5.797 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.797 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.797 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.797 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.797 * [taylor]: Taking taylor expansion of 0.5 in n 5.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.797 * [taylor]: Taking taylor expansion of 1.0 in n 5.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.797 * [taylor]: Taking taylor expansion of k in n 5.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.797 * [taylor]: Taking taylor expansion of 2.0 in n 5.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.797 * [taylor]: Taking taylor expansion of PI in n 5.797 * [taylor]: Taking taylor expansion of n in n 5.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.801 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.801 * [taylor]: Taking taylor expansion of 0.5 in k 5.801 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.801 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.801 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.801 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.801 * [taylor]: Taking taylor expansion of 2.0 in k 5.801 * [taylor]: Taking taylor expansion of PI in k 5.802 * [taylor]: Taking taylor expansion of (log n) in k 5.802 * [taylor]: Taking taylor expansion of n in k 5.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.802 * [taylor]: Taking taylor expansion of 1.0 in k 5.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.802 * [taylor]: Taking taylor expansion of k in k 5.815 * [taylor]: Taking taylor expansion of 0 in k 5.822 * [taylor]: Taking taylor expansion of 0 in k 5.831 * [taylor]: Taking taylor expansion of 0 in k 5.833 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.833 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.833 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.833 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.833 * [taylor]: Taking taylor expansion of 0.5 in k 5.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.833 * [taylor]: Taking taylor expansion of k in k 5.833 * [taylor]: Taking taylor expansion of 1.0 in k 5.833 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.833 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.833 * [taylor]: Taking taylor expansion of -2.0 in k 5.833 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.833 * [taylor]: Taking taylor expansion of PI in k 5.833 * [taylor]: Taking taylor expansion of n in k 5.834 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.834 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.834 * [taylor]: Taking taylor expansion of 0.5 in n 5.834 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.834 * [taylor]: Taking taylor expansion of k in n 5.834 * [taylor]: Taking taylor expansion of 1.0 in n 5.834 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.834 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.834 * [taylor]: Taking taylor expansion of -2.0 in n 5.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.834 * [taylor]: Taking taylor expansion of PI in n 5.834 * [taylor]: Taking taylor expansion of n in n 5.838 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.838 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.838 * [taylor]: Taking taylor expansion of 0.5 in n 5.838 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.838 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.838 * [taylor]: Taking taylor expansion of k in n 5.838 * [taylor]: Taking taylor expansion of 1.0 in n 5.838 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.838 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.838 * [taylor]: Taking taylor expansion of -2.0 in n 5.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.838 * [taylor]: Taking taylor expansion of PI in n 5.838 * [taylor]: Taking taylor expansion of n in n 5.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.842 * [taylor]: Taking taylor expansion of 0.5 in k 5.842 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.842 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.842 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.842 * [taylor]: Taking taylor expansion of k in k 5.842 * [taylor]: Taking taylor expansion of 1.0 in k 5.842 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.842 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.843 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.843 * [taylor]: Taking taylor expansion of -2.0 in k 5.843 * [taylor]: Taking taylor expansion of PI in k 5.843 * [taylor]: Taking taylor expansion of (log n) in k 5.843 * [taylor]: Taking taylor expansion of n in k 5.852 * [taylor]: Taking taylor expansion of 0 in k 5.859 * [taylor]: Taking taylor expansion of 0 in k 5.868 * [taylor]: Taking taylor expansion of 0 in k 5.869 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.870 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.870 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.870 * [taylor]: Taking taylor expansion of 2.0 in n 5.870 * [taylor]: Taking taylor expansion of (* n PI) in n 5.870 * [taylor]: Taking taylor expansion of n in n 5.870 * [taylor]: Taking taylor expansion of PI in n 5.870 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.870 * [taylor]: Taking taylor expansion of 2.0 in n 5.870 * [taylor]: Taking taylor expansion of (* n PI) in n 5.870 * [taylor]: Taking taylor expansion of n in n 5.870 * [taylor]: Taking taylor expansion of PI in n 5.882 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.882 * [taylor]: Taking taylor expansion of 2.0 in n 5.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.882 * [taylor]: Taking taylor expansion of PI in n 5.882 * [taylor]: Taking taylor expansion of n in n 5.883 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.883 * [taylor]: Taking taylor expansion of 2.0 in n 5.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.883 * [taylor]: Taking taylor expansion of PI in n 5.883 * [taylor]: Taking taylor expansion of n in n 5.895 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.895 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.895 * [taylor]: Taking taylor expansion of -2.0 in n 5.895 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.895 * [taylor]: Taking taylor expansion of PI in n 5.895 * [taylor]: Taking taylor expansion of n in n 5.895 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.895 * [taylor]: Taking taylor expansion of -2.0 in n 5.895 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.895 * [taylor]: Taking taylor expansion of PI in n 5.895 * [taylor]: Taking taylor expansion of n in n 5.904 * * * [progress]: simplifying candidates 5.912 * [simplify]: Simplifying using # : (expm1 (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (log1p (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 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(+ (* 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)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.943 * * [simplify]: iteration 0 : 566 enodes (cost 9021 ) 6.052 * * [simplify]: iteration 1 : 1367 enodes (cost 7999 ) 6.326 * * [simplify]: iteration 2 : 4331 enodes (cost 7284 ) 7.192 * * [simplify]: iteration done : 5000 enodes (cost 7284 ) 7.196 * [simplify]: Simplified to: (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt 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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 k) (sqrt 1.0))) (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 (* (* 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (- (fma +nan.0 k (- (- (* +nan.0 (pow k 2)) +nan.0)))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (+ (- (* 1.0 (sqrt +nan.0)) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) (+ (* (* 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)))) (- (fma (* (pow k 2) (* (log n) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)))) 0.25 (pow (* (* 2.0 PI) n) 0.5)) (* 0.5 (* k (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 7.200 * * * [progress]: adding candidates to table 8.032 * * [progress]: iteration 4 / 4 8.032 * * * [progress]: picking best candidate 8.071 * * * * [pick]: Picked # 8.071 * * * [progress]: localizing error 8.092 * * * [progress]: generating rewritten candidates 8.092 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 8.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.238 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 8.319 * * * [progress]: generating series expansions 8.319 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 8.320 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (sqrt 1.0) 2)) in (k) around 0 8.320 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (sqrt 1.0) 2)) in k 8.320 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.320 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.320 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.320 * [taylor]: Taking taylor expansion of 1/4 in k 8.320 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.320 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.320 * [taylor]: Taking taylor expansion of k in k 8.321 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.321 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.321 * [taylor]: Taking taylor expansion of 1.0 in k 8.322 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (sqrt 1.0) 2)) in k 8.322 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.322 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.322 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.322 * [taylor]: Taking taylor expansion of 1/4 in k 8.322 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.322 * [taylor]: Taking taylor expansion of k in k 8.323 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.323 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.323 * [taylor]: Taking taylor expansion of 1.0 in k 8.396 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (pow (sqrt 1.0) 2)) in (k) around 0 8.396 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (sqrt 1.0) 2)) in k 8.396 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.396 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.396 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.396 * [taylor]: Taking taylor expansion of 1/4 in k 8.396 * [taylor]: Taking taylor expansion of (log k) in k 8.396 * [taylor]: Taking taylor expansion of k in k 8.397 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.397 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.397 * [taylor]: Taking taylor expansion of 1.0 in k 8.398 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (sqrt 1.0) 2)) in k 8.398 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.398 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.398 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.398 * [taylor]: Taking taylor expansion of 1/4 in k 8.398 * [taylor]: Taking taylor expansion of (log k) in k 8.398 * [taylor]: Taking taylor expansion of k in k 8.398 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.398 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.398 * [taylor]: Taking taylor expansion of 1.0 in k 8.463 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (sqrt 1.0) 2)) in (k) around 0 8.463 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (sqrt 1.0) 2)) in k 8.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.464 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.464 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.464 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.464 * [taylor]: Taking taylor expansion of -1 in k 8.464 * [taylor]: Taking taylor expansion of k in k 8.470 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.470 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.470 * [taylor]: Taking taylor expansion of 1.0 in k 8.471 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (sqrt 1.0) 2)) in k 8.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.471 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.471 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.471 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.471 * [taylor]: Taking taylor expansion of -1 in k 8.471 * [taylor]: Taking taylor expansion of k in k 8.477 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.477 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.477 * [taylor]: Taking taylor expansion of 1.0 in k 8.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.530 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in (k) around 0 8.530 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 8.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.530 * [taylor]: Taking taylor expansion of k in k 8.531 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.531 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.531 * [taylor]: Taking taylor expansion of 1.0 in k 8.532 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 8.532 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.532 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.532 * [taylor]: Taking taylor expansion of k in k 8.533 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.533 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.533 * [taylor]: Taking taylor expansion of 1.0 in k 8.561 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in (k) around 0 8.561 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 8.561 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.561 * [taylor]: Taking taylor expansion of k in k 8.562 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.562 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.562 * [taylor]: Taking taylor expansion of 1.0 in k 8.563 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 8.563 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.563 * [taylor]: Taking taylor expansion of k in k 8.564 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.564 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.564 * [taylor]: Taking taylor expansion of 1.0 in k 8.591 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 8.591 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 8.591 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.591 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.591 * [taylor]: Taking taylor expansion of 1.0 in k 8.592 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.592 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.592 * [taylor]: Taking taylor expansion of -1 in k 8.592 * [taylor]: Taking taylor expansion of k in k 8.600 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 8.600 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.600 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.600 * [taylor]: Taking taylor expansion of 1.0 in k 8.601 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.601 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.601 * [taylor]: Taking taylor expansion of -1 in k 8.601 * [taylor]: Taking taylor expansion of k in k 8.628 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.629 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.629 * [taylor]: Taking taylor expansion of 0.5 in k 8.629 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.629 * [taylor]: Taking taylor expansion of 1.0 in k 8.629 * [taylor]: Taking taylor expansion of k in k 8.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.629 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.629 * [taylor]: Taking taylor expansion of 2.0 in k 8.629 * [taylor]: Taking taylor expansion of (* n PI) in k 8.629 * [taylor]: Taking taylor expansion of n in k 8.629 * [taylor]: Taking taylor expansion of PI in k 8.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.630 * [taylor]: Taking taylor expansion of 0.5 in n 8.630 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.630 * [taylor]: Taking taylor expansion of 1.0 in n 8.630 * [taylor]: Taking taylor expansion of k in n 8.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.630 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.630 * [taylor]: Taking taylor expansion of 2.0 in n 8.630 * [taylor]: Taking taylor expansion of (* n PI) in n 8.630 * [taylor]: Taking taylor expansion of n in n 8.630 * [taylor]: Taking taylor expansion of PI in n 8.635 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.635 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.635 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.635 * [taylor]: Taking taylor expansion of 0.5 in n 8.635 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.635 * [taylor]: Taking taylor expansion of 1.0 in n 8.635 * [taylor]: Taking taylor expansion of k in n 8.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.636 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.636 * [taylor]: Taking taylor expansion of 2.0 in n 8.636 * [taylor]: Taking taylor expansion of (* n PI) in n 8.636 * [taylor]: Taking taylor expansion of n in n 8.636 * [taylor]: Taking taylor expansion of PI in n 8.641 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.641 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.641 * [taylor]: Taking taylor expansion of 0.5 in k 8.641 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.641 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.641 * [taylor]: Taking taylor expansion of 1.0 in k 8.641 * [taylor]: Taking taylor expansion of k in k 8.641 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.641 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.641 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.641 * [taylor]: Taking taylor expansion of 2.0 in k 8.641 * [taylor]: Taking taylor expansion of PI in k 8.642 * [taylor]: Taking taylor expansion of (log n) in k 8.642 * [taylor]: Taking taylor expansion of n in k 8.651 * [taylor]: Taking taylor expansion of 0 in k 8.667 * [taylor]: Taking taylor expansion of 0 in k 8.691 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.691 * [taylor]: Taking taylor expansion of 0.5 in k 8.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.691 * [taylor]: Taking taylor expansion of 1.0 in k 8.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.692 * [taylor]: Taking taylor expansion of k in k 8.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.692 * [taylor]: Taking taylor expansion of 2.0 in k 8.692 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.692 * [taylor]: Taking taylor expansion of PI in k 8.692 * [taylor]: Taking taylor expansion of n in k 8.694 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.694 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.694 * [taylor]: Taking taylor expansion of 0.5 in n 8.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.694 * [taylor]: Taking taylor expansion of 1.0 in n 8.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.694 * [taylor]: Taking taylor expansion of k in n 8.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.694 * [taylor]: Taking taylor expansion of 2.0 in n 8.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.694 * [taylor]: Taking taylor expansion of PI in n 8.694 * [taylor]: Taking taylor expansion of n in n 8.698 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.698 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.698 * [taylor]: Taking taylor expansion of 0.5 in n 8.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.698 * [taylor]: Taking taylor expansion of 1.0 in n 8.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.699 * [taylor]: Taking taylor expansion of k in n 8.699 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.699 * [taylor]: Taking taylor expansion of 2.0 in n 8.699 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.699 * [taylor]: Taking taylor expansion of PI in n 8.699 * [taylor]: Taking taylor expansion of n in n 8.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.702 * [taylor]: Taking taylor expansion of 0.5 in k 8.702 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.702 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.703 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.703 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.703 * [taylor]: Taking taylor expansion of 2.0 in k 8.703 * [taylor]: Taking taylor expansion of PI in k 8.703 * [taylor]: Taking taylor expansion of (log n) in k 8.704 * [taylor]: Taking taylor expansion of n in k 8.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.704 * [taylor]: Taking taylor expansion of 1.0 in k 8.704 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.704 * [taylor]: Taking taylor expansion of k in k 8.713 * [taylor]: Taking taylor expansion of 0 in k 8.720 * [taylor]: Taking taylor expansion of 0 in k 8.729 * [taylor]: Taking taylor expansion of 0 in k 8.731 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.731 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.731 * [taylor]: Taking taylor expansion of 0.5 in k 8.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.731 * [taylor]: Taking taylor expansion of k in k 8.731 * [taylor]: Taking taylor expansion of 1.0 in k 8.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.731 * [taylor]: Taking taylor expansion of -2.0 in k 8.731 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.731 * [taylor]: Taking taylor expansion of PI in k 8.731 * [taylor]: Taking taylor expansion of n in k 8.732 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.732 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.732 * [taylor]: Taking taylor expansion of 0.5 in n 8.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.732 * [taylor]: Taking taylor expansion of k in n 8.732 * [taylor]: Taking taylor expansion of 1.0 in n 8.732 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.732 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.732 * [taylor]: Taking taylor expansion of -2.0 in n 8.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.732 * [taylor]: Taking taylor expansion of PI in n 8.732 * [taylor]: Taking taylor expansion of n in n 8.736 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.736 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.736 * [taylor]: Taking taylor expansion of 0.5 in n 8.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.736 * [taylor]: Taking taylor expansion of k in n 8.736 * [taylor]: Taking taylor expansion of 1.0 in n 8.736 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.736 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.736 * [taylor]: Taking taylor expansion of -2.0 in n 8.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.736 * [taylor]: Taking taylor expansion of PI in n 8.736 * [taylor]: Taking taylor expansion of n in n 8.740 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.740 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.740 * [taylor]: Taking taylor expansion of 0.5 in k 8.740 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.740 * [taylor]: Taking taylor expansion of k in k 8.740 * [taylor]: Taking taylor expansion of 1.0 in k 8.740 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.740 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.740 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.740 * [taylor]: Taking taylor expansion of -2.0 in k 8.740 * [taylor]: Taking taylor expansion of PI in k 8.741 * [taylor]: Taking taylor expansion of (log n) in k 8.741 * [taylor]: Taking taylor expansion of n in k 8.750 * [taylor]: Taking taylor expansion of 0 in k 8.757 * [taylor]: Taking taylor expansion of 0 in k 8.766 * [taylor]: Taking taylor expansion of 0 in k 8.772 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 8.773 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/8) (sqrt 1.0)) in (k) around 0 8.773 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/8) (sqrt 1.0)) in k 8.773 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/8) in k 8.773 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (/ 1 k)))) in k 8.773 * [taylor]: Taking taylor expansion of (* 1/8 (log (/ 1 k))) in k 8.773 * [taylor]: Taking taylor expansion of 1/8 in k 8.773 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.773 * [taylor]: Taking taylor expansion of k in k 8.774 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.774 * [taylor]: Taking taylor expansion of 1.0 in k 8.774 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/8) (sqrt 1.0)) in k 8.774 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/8) in k 8.774 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (/ 1 k)))) in k 8.774 * [taylor]: Taking taylor expansion of (* 1/8 (log (/ 1 k))) in k 8.774 * [taylor]: Taking taylor expansion of 1/8 in k 8.774 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.774 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.774 * [taylor]: Taking taylor expansion of k in k 8.775 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.775 * [taylor]: Taking taylor expansion of 1.0 in k 8.833 * [approximate]: Taking taylor expansion of (* (pow k 1/8) (sqrt 1.0)) in (k) around 0 8.833 * [taylor]: Taking taylor expansion of (* (pow k 1/8) (sqrt 1.0)) in k 8.833 * [taylor]: Taking taylor expansion of (pow k 1/8) in k 8.833 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log k))) in k 8.833 * [taylor]: Taking taylor expansion of (* 1/8 (log k)) in k 8.833 * [taylor]: Taking taylor expansion of 1/8 in k 8.833 * [taylor]: Taking taylor expansion of (log k) in k 8.833 * [taylor]: Taking taylor expansion of k in k 8.834 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.834 * [taylor]: Taking taylor expansion of 1.0 in k 8.835 * [taylor]: Taking taylor expansion of (* (pow k 1/8) (sqrt 1.0)) in k 8.835 * [taylor]: Taking taylor expansion of (pow k 1/8) in k 8.835 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log k))) in k 8.835 * [taylor]: Taking taylor expansion of (* 1/8 (log k)) in k 8.835 * [taylor]: Taking taylor expansion of 1/8 in k 8.835 * [taylor]: Taking taylor expansion of (log k) in k 8.835 * [taylor]: Taking taylor expansion of k in k 8.835 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.835 * [taylor]: Taking taylor expansion of 1.0 in k 8.897 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/4) (sqrt 1.0)) in (k) around 0 8.897 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/4) (sqrt 1.0)) in k 8.897 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/4) in k 8.897 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (sqrt (/ -1 k)))))) in k 8.897 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (sqrt (/ -1 k))))) in k 8.897 * [taylor]: Taking taylor expansion of 1/4 in k 8.897 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 8.897 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.897 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.897 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.897 * [taylor]: Taking taylor expansion of -1 in k 8.897 * [taylor]: Taking taylor expansion of k in k 8.900 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.900 * [taylor]: Taking taylor expansion of 1.0 in k 8.901 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt (/ -1 k))) 1/4) (sqrt 1.0)) in k 8.901 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/4) in k 8.901 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (sqrt (/ -1 k)))))) in k 8.901 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (sqrt (/ -1 k))))) in k 8.901 * [taylor]: Taking taylor expansion of 1/4 in k 8.901 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 8.901 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.901 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.901 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.901 * [taylor]: Taking taylor expansion of -1 in k 8.901 * [taylor]: Taking taylor expansion of k in k 8.904 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.905 * [taylor]: Taking taylor expansion of 1.0 in k 8.961 * * * [progress]: simplifying candidates 8.974 * [simplify]: Simplifying using # : (expm1 (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (log1p (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (+ 1 1) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (+ 1 1) (+ (- (log (sqrt 1.0)) (log (sqrt (sqrt (sqrt k))))) (- (log (sqrt 1.0)) (log (sqrt (sqrt (sqrt k)))))) (+ (- (log (sqrt 1.0)) (log (sqrt (sqrt (sqrt k))))) (log (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (+ (log (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (- (log (sqrt 1.0)) (log (sqrt (sqrt (sqrt k)))))) (+ (log (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (log (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (log (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (exp (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) (* (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (* (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (sqrt (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt (sqrt k)))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt (sqrt k))))))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (* (cbrt k) (cbrt k))))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (cbrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt 1)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt 1))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (* (cbrt (sqrt 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(pow +nan.0 1/4))) (- (* +nan.0 (* (/ (sqrt 1.0) (pow k 2)) (pow +nan.0 1/4)))))) 9.018 * * [simplify]: iteration 0 : 540 enodes (cost 17445 ) 9.132 * * [simplify]: iteration 1 : 1642 enodes (cost 15839 ) 9.452 * * [simplify]: iteration done : 5000 enodes (cost 14904 ) 9.458 * [simplify]: Simplified to: (expm1 (/ 1.0 (sqrt (sqrt k)))) (log1p (/ 1.0 (sqrt (sqrt k)))) 2 (/ 1.0 (sqrt (sqrt k))) 2 (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ 1.0 (sqrt (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ 1.0 (sqrt (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ 1.0 (sqrt (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (* (/ 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(/ 1.0 (* (sqrt +nan.0) (pow k 2))) (- (- (* +nan.0 (/ 1.0 (* (sqrt +nan.0) k))) (* +nan.0 (/ 1.0 (* (pow (sqrt +nan.0) 3) (pow k 2)))))))) (- (fma +nan.0 1.0 (- (- (* +nan.0 (* k 1.0)) (* +nan.0 (* (pow k 2) 1.0)))))) (- (- (/ (* +nan.0 1.0) (pow k 3)) (- (/ (* +nan.0 1.0) (pow k 2)) (/ (* +nan.0 1.0) k)))) (- (fma +nan.0 (/ 1.0 (pow k 2)) (- (- (* +nan.0 1.0) (/ (* +nan.0 1.0) k))))) (- (fma 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (exp (* (log (* (* 2.0 PI) n)) 0.5))) (fma 0.125 (* (* (pow (log n) 2) (exp (* (log (* (* 2.0 PI) n)) 0.5))) (pow k 2)) (fma 0.25 (* (pow k 2) (* (* (log (* 2.0 PI)) (exp (* (log (* (* 2.0 PI) n)) 0.5))) (log n))) (exp (* (log (* (* 2.0 PI) n)) 0.5))))) (* 0.5 (+ (* (* k (log (* 2.0 PI))) (exp (* (log (* (* 2.0 PI) n)) 0.5))) (* k (* (exp (* (log (* (* 2.0 PI) n)) 0.5)) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (- (log n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (pow (/ 1 k) 1/8) (sqrt 1.0)) (* (pow (/ 1 k) 1/8) (sqrt 1.0)) (- (* (sqrt 1.0) (pow +nan.0 1/4)) (- (* +nan.0 (* (/ (sqrt 1.0) k) (pow +nan.0 1/4))) (* +nan.0 (* (/ (sqrt 1.0) (pow k 2)) (pow +nan.0 1/4))))) 9.465 * * * [progress]: adding candidates to table 10.711 * [progress]: [Phase 3 of 3] Extracting. 10.712 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 10.719 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 10.720 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 10.776 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # #) 10.836 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 10.890 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 10.944 * * * [regime]: Found split indices: #