18.230 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.080 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.081 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.083 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.087 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.095 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.117 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.216 * * [simplify]: iteration 5 : 803 enodes (cost 16 ) 0.907 * * [simplify]: iteration 6 : 3026 enodes (cost 16 ) 2.001 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.001 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.002 * * [progress]: iteration 1 / 4 2.002 * * * [progress]: picking best candidate 2.004 * * * * [pick]: Picked # 2.004 * * * [progress]: localizing error 2.017 * * * [progress]: generating rewritten candidates 2.017 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.020 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.030 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.036 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.064 * * * [progress]: generating series expansions 2.064 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.064 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.064 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.064 * [taylor]: Taking taylor expansion of 1.0 in k 2.064 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.064 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.064 * [taylor]: Taking taylor expansion of k in k 2.066 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.066 * [taylor]: Taking taylor expansion of 1.0 in k 2.066 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.066 * [taylor]: Taking taylor expansion of k in k 2.077 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.077 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.077 * [taylor]: Taking taylor expansion of 1.0 in k 2.077 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.077 * [taylor]: Taking taylor expansion of k in k 2.078 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.078 * [taylor]: Taking taylor expansion of 1.0 in k 2.078 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.078 * [taylor]: Taking taylor expansion of k in k 2.088 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.088 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.088 * [taylor]: Taking taylor expansion of 1.0 in k 2.088 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.088 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.088 * [taylor]: Taking taylor expansion of -1 in k 2.088 * [taylor]: Taking taylor expansion of k in k 2.090 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.090 * [taylor]: Taking taylor expansion of 1.0 in k 2.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.090 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.090 * [taylor]: Taking taylor expansion of -1 in k 2.090 * [taylor]: Taking taylor expansion of k in k 2.101 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.102 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.102 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.102 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.102 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.102 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.102 * [taylor]: Taking taylor expansion of 0.5 in k 2.102 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.102 * [taylor]: Taking taylor expansion of 1.0 in k 2.102 * [taylor]: Taking taylor expansion of k in k 2.102 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.102 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.102 * [taylor]: Taking taylor expansion of 2.0 in k 2.102 * [taylor]: Taking taylor expansion of (* n PI) in k 2.102 * [taylor]: Taking taylor expansion of n in k 2.102 * [taylor]: Taking taylor expansion of PI in k 2.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.103 * [taylor]: Taking taylor expansion of 0.5 in n 2.103 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.103 * [taylor]: Taking taylor expansion of 1.0 in n 2.103 * [taylor]: Taking taylor expansion of k in n 2.103 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.103 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.103 * [taylor]: Taking taylor expansion of 2.0 in n 2.103 * [taylor]: Taking taylor expansion of (* n PI) in n 2.103 * [taylor]: Taking taylor expansion of n in n 2.103 * [taylor]: Taking taylor expansion of PI in n 2.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.109 * [taylor]: Taking taylor expansion of 0.5 in n 2.109 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.109 * [taylor]: Taking taylor expansion of 1.0 in n 2.109 * [taylor]: Taking taylor expansion of k in n 2.109 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.109 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.109 * [taylor]: Taking taylor expansion of 2.0 in n 2.109 * [taylor]: Taking taylor expansion of (* n PI) in n 2.109 * [taylor]: Taking taylor expansion of n in n 2.109 * [taylor]: Taking taylor expansion of PI in n 2.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.115 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.115 * [taylor]: Taking taylor expansion of 0.5 in k 2.115 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.115 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.115 * [taylor]: Taking taylor expansion of 1.0 in k 2.115 * [taylor]: Taking taylor expansion of k in k 2.115 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.115 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.115 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.115 * [taylor]: Taking taylor expansion of 2.0 in k 2.115 * [taylor]: Taking taylor expansion of PI in k 2.116 * [taylor]: Taking taylor expansion of (log n) in k 2.116 * [taylor]: Taking taylor expansion of n in k 2.125 * [taylor]: Taking taylor expansion of 0 in k 2.145 * [taylor]: Taking taylor expansion of 0 in k 2.164 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.164 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.164 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.164 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.164 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.164 * [taylor]: Taking taylor expansion of 0.5 in k 2.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.164 * [taylor]: Taking taylor expansion of 1.0 in k 2.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.164 * [taylor]: Taking taylor expansion of k in k 2.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.164 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.164 * [taylor]: Taking taylor expansion of 2.0 in k 2.164 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.164 * [taylor]: Taking taylor expansion of PI in k 2.164 * [taylor]: Taking taylor expansion of n in k 2.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.165 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.165 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.166 * [taylor]: Taking taylor expansion of 0.5 in n 2.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.166 * [taylor]: Taking taylor expansion of 1.0 in n 2.166 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.166 * [taylor]: Taking taylor expansion of k in n 2.166 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.166 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.166 * [taylor]: Taking taylor expansion of 2.0 in n 2.166 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.166 * [taylor]: Taking taylor expansion of PI in n 2.166 * [taylor]: Taking taylor expansion of n in n 2.169 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.169 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.169 * [taylor]: Taking taylor expansion of 0.5 in n 2.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.169 * [taylor]: Taking taylor expansion of 1.0 in n 2.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.169 * [taylor]: Taking taylor expansion of k in n 2.169 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.170 * [taylor]: Taking taylor expansion of 2.0 in n 2.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.170 * [taylor]: Taking taylor expansion of PI in n 2.170 * [taylor]: Taking taylor expansion of n in n 2.173 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.173 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.173 * [taylor]: Taking taylor expansion of 0.5 in k 2.173 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.173 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.173 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.173 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.173 * [taylor]: Taking taylor expansion of 2.0 in k 2.173 * [taylor]: Taking taylor expansion of PI in k 2.174 * [taylor]: Taking taylor expansion of (log n) in k 2.174 * [taylor]: Taking taylor expansion of n in k 2.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.174 * [taylor]: Taking taylor expansion of 1.0 in k 2.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.174 * [taylor]: Taking taylor expansion of k in k 2.184 * [taylor]: Taking taylor expansion of 0 in k 2.191 * [taylor]: Taking taylor expansion of 0 in k 2.200 * [taylor]: Taking taylor expansion of 0 in k 2.201 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.201 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.202 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.202 * [taylor]: Taking taylor expansion of 0.5 in k 2.202 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.202 * [taylor]: Taking taylor expansion of k in k 2.202 * [taylor]: Taking taylor expansion of 1.0 in k 2.202 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.202 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.202 * [taylor]: Taking taylor expansion of -2.0 in k 2.202 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.202 * [taylor]: Taking taylor expansion of PI in k 2.202 * [taylor]: Taking taylor expansion of n in k 2.203 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.203 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.203 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.203 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.203 * [taylor]: Taking taylor expansion of 0.5 in n 2.203 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.203 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.203 * [taylor]: Taking taylor expansion of k in n 2.203 * [taylor]: Taking taylor expansion of 1.0 in n 2.203 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.203 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.203 * [taylor]: Taking taylor expansion of -2.0 in n 2.203 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.203 * [taylor]: Taking taylor expansion of PI in n 2.203 * [taylor]: Taking taylor expansion of n in n 2.207 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.207 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.207 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.207 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.207 * [taylor]: Taking taylor expansion of 0.5 in n 2.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.207 * [taylor]: Taking taylor expansion of k in n 2.207 * [taylor]: Taking taylor expansion of 1.0 in n 2.207 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.207 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.207 * [taylor]: Taking taylor expansion of -2.0 in n 2.207 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.207 * [taylor]: Taking taylor expansion of PI in n 2.207 * [taylor]: Taking taylor expansion of n in n 2.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.211 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.211 * [taylor]: Taking taylor expansion of 0.5 in k 2.211 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.211 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.211 * [taylor]: Taking taylor expansion of k in k 2.211 * [taylor]: Taking taylor expansion of 1.0 in k 2.211 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.211 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.211 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.211 * [taylor]: Taking taylor expansion of -2.0 in k 2.211 * [taylor]: Taking taylor expansion of PI in k 2.212 * [taylor]: Taking taylor expansion of (log n) in k 2.212 * [taylor]: Taking taylor expansion of n in k 2.225 * [taylor]: Taking taylor expansion of 0 in k 2.232 * [taylor]: Taking taylor expansion of 0 in k 2.241 * [taylor]: Taking taylor expansion of 0 in k 2.242 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.243 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.243 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.243 * [taylor]: Taking taylor expansion of 2.0 in n 2.243 * [taylor]: Taking taylor expansion of (* n PI) in n 2.243 * [taylor]: Taking taylor expansion of n in n 2.243 * [taylor]: Taking taylor expansion of PI in n 2.243 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.243 * [taylor]: Taking taylor expansion of 2.0 in n 2.243 * [taylor]: Taking taylor expansion of (* n PI) in n 2.243 * [taylor]: Taking taylor expansion of n in n 2.243 * [taylor]: Taking taylor expansion of PI in n 2.256 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.256 * [taylor]: Taking taylor expansion of 2.0 in n 2.256 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.256 * [taylor]: Taking taylor expansion of PI in n 2.256 * [taylor]: Taking taylor expansion of n in n 2.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.256 * [taylor]: Taking taylor expansion of 2.0 in n 2.256 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.256 * [taylor]: Taking taylor expansion of PI in n 2.256 * [taylor]: Taking taylor expansion of n in n 2.265 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.265 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.265 * [taylor]: Taking taylor expansion of -2.0 in n 2.265 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.265 * [taylor]: Taking taylor expansion of PI in n 2.265 * [taylor]: Taking taylor expansion of n in n 2.265 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.265 * [taylor]: Taking taylor expansion of -2.0 in n 2.265 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.265 * [taylor]: Taking taylor expansion of PI in n 2.265 * [taylor]: Taking taylor expansion of n in n 2.274 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.274 * [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 2.275 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.275 * [taylor]: Taking taylor expansion of 1.0 in n 2.275 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.275 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.275 * [taylor]: Taking taylor expansion of k in n 2.275 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.275 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.275 * [taylor]: Taking taylor expansion of 0.5 in n 2.275 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.275 * [taylor]: Taking taylor expansion of 1.0 in n 2.275 * [taylor]: Taking taylor expansion of k in n 2.275 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.275 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.275 * [taylor]: Taking taylor expansion of 2.0 in n 2.275 * [taylor]: Taking taylor expansion of (* n PI) in n 2.275 * [taylor]: Taking taylor expansion of n in n 2.275 * [taylor]: Taking taylor expansion of PI in n 2.280 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.280 * [taylor]: Taking taylor expansion of 1.0 in k 2.280 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.280 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.280 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.280 * [taylor]: Taking taylor expansion of k in k 2.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.282 * [taylor]: Taking taylor expansion of 0.5 in k 2.282 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.282 * [taylor]: Taking taylor expansion of 1.0 in k 2.282 * [taylor]: Taking taylor expansion of k in k 2.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.282 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.282 * [taylor]: Taking taylor expansion of 2.0 in k 2.282 * [taylor]: Taking taylor expansion of (* n PI) in k 2.282 * [taylor]: Taking taylor expansion of n in k 2.282 * [taylor]: Taking taylor expansion of PI in k 2.283 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.283 * [taylor]: Taking taylor expansion of 1.0 in k 2.283 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.283 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.283 * [taylor]: Taking taylor expansion of k in k 2.284 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.284 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.284 * [taylor]: Taking taylor expansion of 0.5 in k 2.285 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.285 * [taylor]: Taking taylor expansion of 1.0 in k 2.285 * [taylor]: Taking taylor expansion of k in k 2.285 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.285 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.285 * [taylor]: Taking taylor expansion of 2.0 in k 2.285 * [taylor]: Taking taylor expansion of (* n PI) in k 2.285 * [taylor]: Taking taylor expansion of n in k 2.285 * [taylor]: Taking taylor expansion of PI in k 2.286 * [taylor]: Taking taylor expansion of 0 in n 2.291 * [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 2.291 * [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 2.292 * [taylor]: Taking taylor expansion of +nan.0 in n 2.292 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.292 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.292 * [taylor]: Taking taylor expansion of 0.5 in n 2.292 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.292 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.292 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.292 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.292 * [taylor]: Taking taylor expansion of 1.0 in n 2.292 * [taylor]: Taking taylor expansion of (log PI) in n 2.292 * [taylor]: Taking taylor expansion of PI in n 2.294 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.294 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.294 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.294 * [taylor]: Taking taylor expansion of 1.0 in n 2.294 * [taylor]: Taking taylor expansion of (log n) in n 2.294 * [taylor]: Taking taylor expansion of n in n 2.294 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.294 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.294 * [taylor]: Taking taylor expansion of 1.0 in n 2.294 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.294 * [taylor]: Taking taylor expansion of 2.0 in n 2.318 * [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 2.318 * [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 2.318 * [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 2.318 * [taylor]: Taking taylor expansion of +nan.0 in n 2.318 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.318 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.318 * [taylor]: Taking taylor expansion of 0.5 in n 2.318 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.318 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.318 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.318 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.318 * [taylor]: Taking taylor expansion of 1.0 in n 2.318 * [taylor]: Taking taylor expansion of (log PI) in n 2.318 * [taylor]: Taking taylor expansion of PI in n 2.320 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.320 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.320 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.320 * [taylor]: Taking taylor expansion of 1.0 in n 2.320 * [taylor]: Taking taylor expansion of (log n) in n 2.320 * [taylor]: Taking taylor expansion of n in n 2.320 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.320 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.321 * [taylor]: Taking taylor expansion of 1.0 in n 2.321 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.321 * [taylor]: Taking taylor expansion of 2.0 in n 2.326 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.326 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.326 * [taylor]: Taking taylor expansion of +nan.0 in n 2.326 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.326 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.326 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.326 * [taylor]: Taking taylor expansion of 0.5 in n 2.326 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.326 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.326 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.326 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.326 * [taylor]: Taking taylor expansion of 1.0 in n 2.326 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.326 * [taylor]: Taking taylor expansion of 2.0 in n 2.328 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.328 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.328 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.328 * [taylor]: Taking taylor expansion of 1.0 in n 2.328 * [taylor]: Taking taylor expansion of (log PI) in n 2.328 * [taylor]: Taking taylor expansion of PI in n 2.330 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.330 * [taylor]: Taking taylor expansion of 1.0 in n 2.330 * [taylor]: Taking taylor expansion of (log n) in n 2.330 * [taylor]: Taking taylor expansion of n in n 2.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.334 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.334 * [taylor]: Taking taylor expansion of 2.0 in n 2.334 * [taylor]: Taking taylor expansion of (* n PI) in n 2.334 * [taylor]: Taking taylor expansion of n in n 2.334 * [taylor]: Taking taylor expansion of PI in n 2.385 * [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 2.385 * [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 2.385 * [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 2.386 * [taylor]: Taking taylor expansion of +nan.0 in n 2.386 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.386 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.386 * [taylor]: Taking taylor expansion of 0.5 in n 2.386 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.386 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.386 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.386 * [taylor]: Taking taylor expansion of 1.0 in n 2.386 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.386 * [taylor]: Taking taylor expansion of 2.0 in n 2.388 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.388 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.388 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.388 * [taylor]: Taking taylor expansion of 1.0 in n 2.388 * [taylor]: Taking taylor expansion of (log n) in n 2.388 * [taylor]: Taking taylor expansion of n in n 2.388 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.388 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.388 * [taylor]: Taking taylor expansion of 1.0 in n 2.388 * [taylor]: Taking taylor expansion of (log PI) in n 2.388 * [taylor]: Taking taylor expansion of PI in n 2.397 * [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 2.398 * [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 2.398 * [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 2.398 * [taylor]: Taking taylor expansion of +nan.0 in n 2.398 * [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 2.398 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.398 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.398 * [taylor]: Taking taylor expansion of 0.5 in n 2.398 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.398 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.398 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.398 * [taylor]: Taking taylor expansion of 2.0 in n 2.400 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.400 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.400 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (log PI) in n 2.400 * [taylor]: Taking taylor expansion of PI in n 2.402 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.402 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.402 * [taylor]: Taking taylor expansion of 1.0 in n 2.402 * [taylor]: Taking taylor expansion of (log n) in n 2.402 * [taylor]: Taking taylor expansion of n in n 2.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.406 * [taylor]: Taking taylor expansion of 2.0 in n 2.406 * [taylor]: Taking taylor expansion of (* n PI) in n 2.406 * [taylor]: Taking taylor expansion of n in n 2.406 * [taylor]: Taking taylor expansion of PI in n 2.409 * [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 2.409 * [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 2.409 * [taylor]: Taking taylor expansion of +nan.0 in n 2.409 * [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 2.409 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.409 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.409 * [taylor]: Taking taylor expansion of 0.5 in n 2.409 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.409 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.409 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.409 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.409 * [taylor]: Taking taylor expansion of 1.0 in n 2.409 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.409 * [taylor]: Taking taylor expansion of 2.0 in n 2.411 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.411 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.411 * [taylor]: Taking taylor expansion of 1.0 in n 2.411 * [taylor]: Taking taylor expansion of (log PI) in n 2.411 * [taylor]: Taking taylor expansion of PI in n 2.413 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.413 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (log n) in n 2.413 * [taylor]: Taking taylor expansion of n in n 2.418 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.418 * [taylor]: Taking taylor expansion of 2.0 in n 2.418 * [taylor]: Taking taylor expansion of (* n PI) in n 2.418 * [taylor]: Taking taylor expansion of n in n 2.418 * [taylor]: Taking taylor expansion of PI in n 2.495 * [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 2.495 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.495 * [taylor]: Taking taylor expansion of 1.0 in n 2.495 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.495 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.495 * [taylor]: Taking taylor expansion of k in n 2.496 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.496 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.496 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.496 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.496 * [taylor]: Taking taylor expansion of 0.5 in n 2.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.496 * [taylor]: Taking taylor expansion of 1.0 in n 2.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.496 * [taylor]: Taking taylor expansion of k in n 2.496 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.496 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.496 * [taylor]: Taking taylor expansion of 2.0 in n 2.496 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.496 * [taylor]: Taking taylor expansion of PI in n 2.496 * [taylor]: Taking taylor expansion of n in n 2.500 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.500 * [taylor]: Taking taylor expansion of 1.0 in k 2.500 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.500 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.500 * [taylor]: Taking taylor expansion of k in k 2.501 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.501 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.501 * [taylor]: Taking taylor expansion of 0.5 in k 2.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.501 * [taylor]: Taking taylor expansion of 1.0 in k 2.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.501 * [taylor]: Taking taylor expansion of k in k 2.501 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.501 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.501 * [taylor]: Taking taylor expansion of 2.0 in k 2.501 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.502 * [taylor]: Taking taylor expansion of PI in k 2.502 * [taylor]: Taking taylor expansion of n in k 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.503 * [taylor]: Taking taylor expansion of 1.0 in k 2.503 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.503 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.503 * [taylor]: Taking taylor expansion of k in k 2.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.504 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.504 * [taylor]: Taking taylor expansion of 0.5 in k 2.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.504 * [taylor]: Taking taylor expansion of 1.0 in k 2.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.504 * [taylor]: Taking taylor expansion of k in k 2.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.504 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.504 * [taylor]: Taking taylor expansion of 2.0 in k 2.504 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.504 * [taylor]: Taking taylor expansion of PI in k 2.504 * [taylor]: Taking taylor expansion of n in k 2.506 * [taylor]: Taking taylor expansion of 0 in n 2.506 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.506 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.506 * [taylor]: Taking taylor expansion of +nan.0 in n 2.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.507 * [taylor]: Taking taylor expansion of 0.5 in n 2.507 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.507 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.507 * [taylor]: Taking taylor expansion of 2.0 in n 2.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.507 * [taylor]: Taking taylor expansion of PI in n 2.507 * [taylor]: Taking taylor expansion of n in n 2.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.508 * [taylor]: Taking taylor expansion of 1.0 in n 2.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.508 * [taylor]: Taking taylor expansion of k in n 2.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.516 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.516 * [taylor]: Taking taylor expansion of +nan.0 in n 2.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.516 * [taylor]: Taking taylor expansion of 0.5 in n 2.516 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.516 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.516 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.516 * [taylor]: Taking taylor expansion of 2.0 in n 2.516 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.516 * [taylor]: Taking taylor expansion of PI in n 2.516 * [taylor]: Taking taylor expansion of n in n 2.518 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.518 * [taylor]: Taking taylor expansion of k in n 2.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.534 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.534 * [taylor]: Taking taylor expansion of +nan.0 in n 2.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.534 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.534 * [taylor]: Taking taylor expansion of 0.5 in n 2.534 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.534 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.534 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.534 * [taylor]: Taking taylor expansion of 2.0 in n 2.534 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.534 * [taylor]: Taking taylor expansion of PI in n 2.534 * [taylor]: Taking taylor expansion of n in n 2.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.536 * [taylor]: Taking taylor expansion of 1.0 in n 2.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.536 * [taylor]: Taking taylor expansion of k in n 2.544 * [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 2.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.544 * [taylor]: Taking taylor expansion of 1.0 in n 2.544 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.544 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.544 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.544 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.544 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.544 * [taylor]: Taking taylor expansion of 0.5 in n 2.544 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.545 * [taylor]: Taking taylor expansion of k in n 2.545 * [taylor]: Taking taylor expansion of 1.0 in n 2.545 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.545 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.545 * [taylor]: Taking taylor expansion of -2.0 in n 2.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.545 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of n in n 2.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.548 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.548 * [taylor]: Taking taylor expansion of -1 in n 2.548 * [taylor]: Taking taylor expansion of k in n 2.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.549 * [taylor]: Taking taylor expansion of 1.0 in k 2.549 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.549 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.549 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.549 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.549 * [taylor]: Taking taylor expansion of 0.5 in k 2.549 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.549 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.549 * [taylor]: Taking taylor expansion of k in k 2.550 * [taylor]: Taking taylor expansion of 1.0 in k 2.550 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.550 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.550 * [taylor]: Taking taylor expansion of -2.0 in k 2.550 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.550 * [taylor]: Taking taylor expansion of PI in k 2.550 * [taylor]: Taking taylor expansion of n in k 2.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.551 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.551 * [taylor]: Taking taylor expansion of -1 in k 2.551 * [taylor]: Taking taylor expansion of k in k 2.552 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.552 * [taylor]: Taking taylor expansion of 1.0 in k 2.552 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.552 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.552 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.552 * [taylor]: Taking taylor expansion of 0.5 in k 2.552 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.552 * [taylor]: Taking taylor expansion of k in k 2.552 * [taylor]: Taking taylor expansion of 1.0 in k 2.553 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.553 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.553 * [taylor]: Taking taylor expansion of -2.0 in k 2.553 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.553 * [taylor]: Taking taylor expansion of PI in k 2.553 * [taylor]: Taking taylor expansion of n in k 2.553 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.553 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.553 * [taylor]: Taking taylor expansion of -1 in k 2.553 * [taylor]: Taking taylor expansion of k in k 2.555 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.555 * [taylor]: Taking taylor expansion of +nan.0 in n 2.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.555 * [taylor]: Taking taylor expansion of 0.5 in n 2.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.555 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.555 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.555 * [taylor]: Taking taylor expansion of k in n 2.555 * [taylor]: Taking taylor expansion of 1.0 in n 2.555 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.555 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.555 * [taylor]: Taking taylor expansion of -2.0 in n 2.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.555 * [taylor]: Taking taylor expansion of PI in n 2.555 * [taylor]: Taking taylor expansion of n in n 2.564 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.564 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.564 * [taylor]: Taking taylor expansion of +nan.0 in n 2.564 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.564 * [taylor]: Taking taylor expansion of 0.5 in n 2.564 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.564 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.564 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.564 * [taylor]: Taking taylor expansion of k in n 2.564 * [taylor]: Taking taylor expansion of 1.0 in n 2.564 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.564 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.564 * [taylor]: Taking taylor expansion of -2.0 in n 2.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.564 * [taylor]: Taking taylor expansion of PI in n 2.564 * [taylor]: Taking taylor expansion of n in n 2.586 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.586 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.586 * [taylor]: Taking taylor expansion of +nan.0 in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.586 * [taylor]: Taking taylor expansion of 0.5 in n 2.586 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.586 * [taylor]: Taking taylor expansion of k in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.586 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.586 * [taylor]: Taking taylor expansion of -2.0 in n 2.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.586 * [taylor]: Taking taylor expansion of PI in n 2.586 * [taylor]: Taking taylor expansion of n in n 2.595 * * * [progress]: simplifying candidates 2.598 * [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)))))))))))) 2.618 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 2.705 * * [simplify]: iteration 1 : 974 enodes (cost 2712 ) 3.097 * * [simplify]: iteration 2 : 3325 enodes (cost 2538 ) 3.718 * * [simplify]: iteration done : 5001 enodes (cost 2523 ) 3.720 * [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 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (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 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 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)) (- (+ (* (* 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)))) (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))) (* (* 0.5 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) (- (- (* +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))) (fma +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)) (- (fma (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0 (- (fma (* (* 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)) (* +nan.0 k))) (* +nan.0 (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 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 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))) 3.721 * * * [progress]: adding candidates to table 4.132 * * [progress]: iteration 2 / 4 4.132 * * * [progress]: picking best candidate 4.164 * * * * [pick]: Picked # 4.164 * * * [progress]: localizing error 4.181 * * * [progress]: generating rewritten candidates 4.181 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.184 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.197 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.208 * * * [progress]: generating series expansions 4.208 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.208 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.208 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.208 * [taylor]: Taking taylor expansion of 1.0 in k 4.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.208 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.208 * [taylor]: Taking taylor expansion of k in k 4.210 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.210 * [taylor]: Taking taylor expansion of 1.0 in k 4.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.210 * [taylor]: Taking taylor expansion of k in k 4.221 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.221 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.221 * [taylor]: Taking taylor expansion of 1.0 in k 4.221 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.221 * [taylor]: Taking taylor expansion of k in k 4.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.222 * [taylor]: Taking taylor expansion of 1.0 in k 4.222 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.222 * [taylor]: Taking taylor expansion of k in k 4.232 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.232 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.232 * [taylor]: Taking taylor expansion of 1.0 in k 4.232 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.233 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.233 * [taylor]: Taking taylor expansion of -1 in k 4.233 * [taylor]: Taking taylor expansion of k in k 4.234 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.234 * [taylor]: Taking taylor expansion of 1.0 in k 4.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.234 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.234 * [taylor]: Taking taylor expansion of -1 in k 4.234 * [taylor]: Taking taylor expansion of k in k 4.246 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.246 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.246 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.246 * [taylor]: Taking taylor expansion of 1.0 in k 4.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.246 * [taylor]: Taking taylor expansion of k in k 4.247 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.247 * [taylor]: Taking taylor expansion of 1.0 in k 4.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.247 * [taylor]: Taking taylor expansion of k in k 4.262 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.262 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.262 * [taylor]: Taking taylor expansion of 1.0 in k 4.262 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.262 * [taylor]: Taking taylor expansion of k in k 4.263 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.263 * [taylor]: Taking taylor expansion of 1.0 in k 4.263 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.263 * [taylor]: Taking taylor expansion of k in k 4.273 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.273 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.273 * [taylor]: Taking taylor expansion of 1.0 in k 4.273 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.273 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.273 * [taylor]: Taking taylor expansion of -1 in k 4.273 * [taylor]: Taking taylor expansion of k in k 4.275 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.275 * [taylor]: Taking taylor expansion of 1.0 in k 4.275 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.275 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.275 * [taylor]: Taking taylor expansion of -1 in k 4.275 * [taylor]: Taking taylor expansion of k in k 4.287 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.288 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.288 * [taylor]: Taking taylor expansion of 0.5 in k 4.288 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.288 * [taylor]: Taking taylor expansion of 1.0 in k 4.288 * [taylor]: Taking taylor expansion of k in k 4.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.288 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.288 * [taylor]: Taking taylor expansion of 2.0 in k 4.288 * [taylor]: Taking taylor expansion of (* n PI) in k 4.288 * [taylor]: Taking taylor expansion of n in k 4.288 * [taylor]: Taking taylor expansion of PI in k 4.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.289 * [taylor]: Taking taylor expansion of 0.5 in n 4.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.289 * [taylor]: Taking taylor expansion of 1.0 in n 4.289 * [taylor]: Taking taylor expansion of k in n 4.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.289 * [taylor]: Taking taylor expansion of 2.0 in n 4.289 * [taylor]: Taking taylor expansion of (* n PI) in n 4.289 * [taylor]: Taking taylor expansion of n in n 4.289 * [taylor]: Taking taylor expansion of PI in n 4.294 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.294 * [taylor]: Taking taylor expansion of 0.5 in n 4.294 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.294 * [taylor]: Taking taylor expansion of 1.0 in n 4.294 * [taylor]: Taking taylor expansion of k in n 4.294 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.294 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.294 * [taylor]: Taking taylor expansion of 2.0 in n 4.294 * [taylor]: Taking taylor expansion of (* n PI) in n 4.294 * [taylor]: Taking taylor expansion of n in n 4.294 * [taylor]: Taking taylor expansion of PI in n 4.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.300 * [taylor]: Taking taylor expansion of 0.5 in k 4.300 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.300 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.300 * [taylor]: Taking taylor expansion of 1.0 in k 4.300 * [taylor]: Taking taylor expansion of k in k 4.300 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.300 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.300 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.300 * [taylor]: Taking taylor expansion of 2.0 in k 4.300 * [taylor]: Taking taylor expansion of PI in k 4.301 * [taylor]: Taking taylor expansion of (log n) in k 4.301 * [taylor]: Taking taylor expansion of n in k 4.310 * [taylor]: Taking taylor expansion of 0 in k 4.326 * [taylor]: Taking taylor expansion of 0 in k 4.347 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.347 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.347 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.347 * [taylor]: Taking taylor expansion of 0.5 in k 4.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.347 * [taylor]: Taking taylor expansion of 1.0 in k 4.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.347 * [taylor]: Taking taylor expansion of k in k 4.347 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.347 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.347 * [taylor]: Taking taylor expansion of 2.0 in k 4.347 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.347 * [taylor]: Taking taylor expansion of PI in k 4.347 * [taylor]: Taking taylor expansion of n in k 4.348 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.348 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.348 * [taylor]: Taking taylor expansion of 0.5 in n 4.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.349 * [taylor]: Taking taylor expansion of 1.0 in n 4.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.349 * [taylor]: Taking taylor expansion of k in n 4.349 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.349 * [taylor]: Taking taylor expansion of 2.0 in n 4.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.349 * [taylor]: Taking taylor expansion of PI in n 4.349 * [taylor]: Taking taylor expansion of n in n 4.352 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.352 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.352 * [taylor]: Taking taylor expansion of 0.5 in n 4.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.352 * [taylor]: Taking taylor expansion of 1.0 in n 4.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.353 * [taylor]: Taking taylor expansion of k in n 4.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.353 * [taylor]: Taking taylor expansion of 2.0 in n 4.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.353 * [taylor]: Taking taylor expansion of PI in n 4.353 * [taylor]: Taking taylor expansion of n in n 4.356 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.356 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.356 * [taylor]: Taking taylor expansion of 0.5 in k 4.356 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.356 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.356 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.356 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.356 * [taylor]: Taking taylor expansion of 2.0 in k 4.356 * [taylor]: Taking taylor expansion of PI in k 4.357 * [taylor]: Taking taylor expansion of (log n) in k 4.357 * [taylor]: Taking taylor expansion of n in k 4.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.357 * [taylor]: Taking taylor expansion of 1.0 in k 4.358 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.358 * [taylor]: Taking taylor expansion of k in k 4.367 * [taylor]: Taking taylor expansion of 0 in k 4.374 * [taylor]: Taking taylor expansion of 0 in k 4.383 * [taylor]: Taking taylor expansion of 0 in k 4.384 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.384 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.385 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.385 * [taylor]: Taking taylor expansion of 0.5 in k 4.385 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.385 * [taylor]: Taking taylor expansion of k in k 4.385 * [taylor]: Taking taylor expansion of 1.0 in k 4.385 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.385 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.385 * [taylor]: Taking taylor expansion of -2.0 in k 4.385 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.385 * [taylor]: Taking taylor expansion of PI in k 4.385 * [taylor]: Taking taylor expansion of n in k 4.386 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.386 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.386 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.386 * [taylor]: Taking taylor expansion of 0.5 in n 4.386 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.386 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.386 * [taylor]: Taking taylor expansion of k in n 4.386 * [taylor]: Taking taylor expansion of 1.0 in n 4.386 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.386 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.386 * [taylor]: Taking taylor expansion of -2.0 in n 4.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.386 * [taylor]: Taking taylor expansion of PI in n 4.386 * [taylor]: Taking taylor expansion of n in n 4.390 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.390 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.390 * [taylor]: Taking taylor expansion of 0.5 in n 4.390 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.390 * [taylor]: Taking taylor expansion of k in n 4.390 * [taylor]: Taking taylor expansion of 1.0 in n 4.390 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.390 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.390 * [taylor]: Taking taylor expansion of -2.0 in n 4.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.390 * [taylor]: Taking taylor expansion of PI in n 4.390 * [taylor]: Taking taylor expansion of n in n 4.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.394 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.394 * [taylor]: Taking taylor expansion of 0.5 in k 4.394 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.394 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.394 * [taylor]: Taking taylor expansion of k in k 4.394 * [taylor]: Taking taylor expansion of 1.0 in k 4.394 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.394 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.394 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.394 * [taylor]: Taking taylor expansion of -2.0 in k 4.394 * [taylor]: Taking taylor expansion of PI in k 4.395 * [taylor]: Taking taylor expansion of (log n) in k 4.395 * [taylor]: Taking taylor expansion of n in k 4.404 * [taylor]: Taking taylor expansion of 0 in k 4.411 * [taylor]: Taking taylor expansion of 0 in k 4.422 * [taylor]: Taking taylor expansion of 0 in k 4.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.424 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.424 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.424 * [taylor]: Taking taylor expansion of 2.0 in n 4.424 * [taylor]: Taking taylor expansion of (* n PI) in n 4.424 * [taylor]: Taking taylor expansion of n in n 4.424 * [taylor]: Taking taylor expansion of PI in n 4.424 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.424 * [taylor]: Taking taylor expansion of 2.0 in n 4.424 * [taylor]: Taking taylor expansion of (* n PI) in n 4.424 * [taylor]: Taking taylor expansion of n in n 4.424 * [taylor]: Taking taylor expansion of PI in n 4.436 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.436 * [taylor]: Taking taylor expansion of 2.0 in n 4.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.436 * [taylor]: Taking taylor expansion of PI in n 4.436 * [taylor]: Taking taylor expansion of n in n 4.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.436 * [taylor]: Taking taylor expansion of 2.0 in n 4.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.436 * [taylor]: Taking taylor expansion of PI in n 4.436 * [taylor]: Taking taylor expansion of n in n 4.445 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.445 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.445 * [taylor]: Taking taylor expansion of -2.0 in n 4.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.445 * [taylor]: Taking taylor expansion of PI in n 4.445 * [taylor]: Taking taylor expansion of n in n 4.445 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.445 * [taylor]: Taking taylor expansion of -2.0 in n 4.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.445 * [taylor]: Taking taylor expansion of PI in n 4.445 * [taylor]: Taking taylor expansion of n in n 4.454 * * * [progress]: simplifying candidates 4.456 * [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)) 4.463 * * [simplify]: iteration 0 : 240 enodes (cost 1698 ) 4.516 * * [simplify]: iteration 1 : 580 enodes (cost 1560 ) 4.695 * * [simplify]: iteration 2 : 1833 enodes (cost 1456 ) 5.157 * * [simplify]: iteration done : 5001 enodes (cost 1446 ) 5.158 * [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 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (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 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* n PI) 2.0) (* (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)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (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) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (log (* 2.0 PI)) (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) 5.159 * * * [progress]: adding candidates to table 5.597 * * [progress]: iteration 3 / 4 5.597 * * * [progress]: picking best candidate 5.636 * * * * [pick]: Picked # 5.636 * * * [progress]: localizing error 5.651 * * * [progress]: generating rewritten candidates 5.651 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.668 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.672 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.682 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.723 * * * [progress]: generating series expansions 5.723 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.723 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.723 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.723 * [taylor]: Taking taylor expansion of 1.0 in k 5.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.723 * [taylor]: Taking taylor expansion of k in k 5.725 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.725 * [taylor]: Taking taylor expansion of 1.0 in k 5.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.725 * [taylor]: Taking taylor expansion of k in k 5.736 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.736 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.736 * [taylor]: Taking taylor expansion of 1.0 in k 5.736 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.736 * [taylor]: Taking taylor expansion of k in k 5.737 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.737 * [taylor]: Taking taylor expansion of 1.0 in k 5.737 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.737 * [taylor]: Taking taylor expansion of k in k 5.747 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.747 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.747 * [taylor]: Taking taylor expansion of 1.0 in k 5.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.747 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.747 * [taylor]: Taking taylor expansion of -1 in k 5.747 * [taylor]: Taking taylor expansion of k in k 5.749 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.749 * [taylor]: Taking taylor expansion of 1.0 in k 5.749 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.749 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.749 * [taylor]: Taking taylor expansion of -1 in k 5.749 * [taylor]: Taking taylor expansion of k in k 5.766 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.766 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 5.766 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.766 * [taylor]: Taking taylor expansion of 1.0 in k 5.767 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.767 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.767 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.767 * [taylor]: Taking taylor expansion of 1/4 in k 5.767 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.767 * [taylor]: Taking taylor expansion of k in k 5.767 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.767 * [taylor]: Taking taylor expansion of 1.0 in k 5.767 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.767 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.768 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.768 * [taylor]: Taking taylor expansion of 1/4 in k 5.768 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.768 * [taylor]: Taking taylor expansion of k in k 5.824 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 5.824 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.824 * [taylor]: Taking taylor expansion of 1.0 in k 5.824 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.824 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.824 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.824 * [taylor]: Taking taylor expansion of 1/4 in k 5.824 * [taylor]: Taking taylor expansion of (log k) in k 5.824 * [taylor]: Taking taylor expansion of k in k 5.825 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.825 * [taylor]: Taking taylor expansion of 1.0 in k 5.825 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.825 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.825 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.825 * [taylor]: Taking taylor expansion of 1/4 in k 5.825 * [taylor]: Taking taylor expansion of (log k) in k 5.825 * [taylor]: Taking taylor expansion of k in k 5.881 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 5.881 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.881 * [taylor]: Taking taylor expansion of 1.0 in k 5.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.881 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.881 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.881 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.881 * [taylor]: Taking taylor expansion of -1 in k 5.881 * [taylor]: Taking taylor expansion of k in k 5.887 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.888 * [taylor]: Taking taylor expansion of 1.0 in k 5.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.888 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.888 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.888 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.888 * [taylor]: Taking taylor expansion of -1 in k 5.888 * [taylor]: Taking taylor expansion of k in k 5.930 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.930 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.930 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.930 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.930 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.930 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.931 * [taylor]: Taking taylor expansion of 0.5 in k 5.931 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.931 * [taylor]: Taking taylor expansion of 1.0 in k 5.931 * [taylor]: Taking taylor expansion of k in k 5.931 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.931 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.931 * [taylor]: Taking taylor expansion of 2.0 in k 5.931 * [taylor]: Taking taylor expansion of (* n PI) in k 5.931 * [taylor]: Taking taylor expansion of n in k 5.931 * [taylor]: Taking taylor expansion of PI in k 5.932 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.932 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.932 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.932 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.932 * [taylor]: Taking taylor expansion of 0.5 in n 5.932 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.932 * [taylor]: Taking taylor expansion of 1.0 in n 5.932 * [taylor]: Taking taylor expansion of k in n 5.932 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.932 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.932 * [taylor]: Taking taylor expansion of 2.0 in n 5.932 * [taylor]: Taking taylor expansion of (* n PI) in n 5.932 * [taylor]: Taking taylor expansion of n in n 5.932 * [taylor]: Taking taylor expansion of PI in n 5.937 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.937 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.937 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.937 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.937 * [taylor]: Taking taylor expansion of 0.5 in n 5.937 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.937 * [taylor]: Taking taylor expansion of 1.0 in n 5.937 * [taylor]: Taking taylor expansion of k in n 5.937 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.937 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.937 * [taylor]: Taking taylor expansion of 2.0 in n 5.937 * [taylor]: Taking taylor expansion of (* n PI) in n 5.937 * [taylor]: Taking taylor expansion of n in n 5.937 * [taylor]: Taking taylor expansion of PI in n 5.943 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.943 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.943 * [taylor]: Taking taylor expansion of 0.5 in k 5.943 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.943 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.943 * [taylor]: Taking taylor expansion of 1.0 in k 5.943 * [taylor]: Taking taylor expansion of k in k 5.943 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.943 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.943 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.943 * [taylor]: Taking taylor expansion of 2.0 in k 5.943 * [taylor]: Taking taylor expansion of PI in k 5.944 * [taylor]: Taking taylor expansion of (log n) in k 5.944 * [taylor]: Taking taylor expansion of n in k 5.953 * [taylor]: Taking taylor expansion of 0 in k 5.968 * [taylor]: Taking taylor expansion of 0 in k 5.987 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.987 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.987 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.987 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.987 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.987 * [taylor]: Taking taylor expansion of 0.5 in k 5.987 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.987 * [taylor]: Taking taylor expansion of 1.0 in k 5.987 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.987 * [taylor]: Taking taylor expansion of k in k 5.987 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.987 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.987 * [taylor]: Taking taylor expansion of 2.0 in k 5.988 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.988 * [taylor]: Taking taylor expansion of PI in k 5.988 * [taylor]: Taking taylor expansion of n in k 5.989 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.989 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.989 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.989 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.989 * [taylor]: Taking taylor expansion of 0.5 in n 5.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.989 * [taylor]: Taking taylor expansion of 1.0 in n 5.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.989 * [taylor]: Taking taylor expansion of k in n 5.989 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.989 * [taylor]: Taking taylor expansion of 2.0 in n 5.989 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.989 * [taylor]: Taking taylor expansion of PI in n 5.989 * [taylor]: Taking taylor expansion of n in n 5.993 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.993 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.993 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.993 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.993 * [taylor]: Taking taylor expansion of 0.5 in n 5.993 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.993 * [taylor]: Taking taylor expansion of 1.0 in n 5.993 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.993 * [taylor]: Taking taylor expansion of k in n 5.993 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.993 * [taylor]: Taking taylor expansion of 2.0 in n 5.993 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.993 * [taylor]: Taking taylor expansion of PI in n 5.993 * [taylor]: Taking taylor expansion of n in n 6.002 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.002 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.002 * [taylor]: Taking taylor expansion of 0.5 in k 6.002 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.002 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.002 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.002 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.002 * [taylor]: Taking taylor expansion of 2.0 in k 6.002 * [taylor]: Taking taylor expansion of PI in k 6.003 * [taylor]: Taking taylor expansion of (log n) in k 6.003 * [taylor]: Taking taylor expansion of n in k 6.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.003 * [taylor]: Taking taylor expansion of 1.0 in k 6.003 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.003 * [taylor]: Taking taylor expansion of k in k 6.013 * [taylor]: Taking taylor expansion of 0 in k 6.020 * [taylor]: Taking taylor expansion of 0 in k 6.030 * [taylor]: Taking taylor expansion of 0 in k 6.031 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.031 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.031 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.031 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.031 * [taylor]: Taking taylor expansion of 0.5 in k 6.031 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.031 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.031 * [taylor]: Taking taylor expansion of k in k 6.032 * [taylor]: Taking taylor expansion of 1.0 in k 6.032 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.032 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.032 * [taylor]: Taking taylor expansion of -2.0 in k 6.032 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.032 * [taylor]: Taking taylor expansion of PI in k 6.032 * [taylor]: Taking taylor expansion of n in k 6.032 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.033 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.033 * [taylor]: Taking taylor expansion of 0.5 in n 6.033 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.033 * [taylor]: Taking taylor expansion of k in n 6.033 * [taylor]: Taking taylor expansion of 1.0 in n 6.033 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.033 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.033 * [taylor]: Taking taylor expansion of -2.0 in n 6.033 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.033 * [taylor]: Taking taylor expansion of PI in n 6.033 * [taylor]: Taking taylor expansion of n in n 6.036 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.036 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.036 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.036 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.036 * [taylor]: Taking taylor expansion of 0.5 in n 6.036 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.036 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.036 * [taylor]: Taking taylor expansion of k in n 6.037 * [taylor]: Taking taylor expansion of 1.0 in n 6.037 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.037 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.037 * [taylor]: Taking taylor expansion of -2.0 in n 6.037 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.037 * [taylor]: Taking taylor expansion of PI in n 6.037 * [taylor]: Taking taylor expansion of n in n 6.040 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.040 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.040 * [taylor]: Taking taylor expansion of 0.5 in k 6.040 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.040 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.040 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.040 * [taylor]: Taking taylor expansion of k in k 6.041 * [taylor]: Taking taylor expansion of 1.0 in k 6.041 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.041 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.041 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.041 * [taylor]: Taking taylor expansion of -2.0 in k 6.041 * [taylor]: Taking taylor expansion of PI in k 6.042 * [taylor]: Taking taylor expansion of (log n) in k 6.042 * [taylor]: Taking taylor expansion of n in k 6.050 * [taylor]: Taking taylor expansion of 0 in k 6.057 * [taylor]: Taking taylor expansion of 0 in k 6.066 * [taylor]: Taking taylor expansion of 0 in k 6.067 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.068 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.068 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.068 * [taylor]: Taking taylor expansion of 2.0 in n 6.068 * [taylor]: Taking taylor expansion of (* n PI) in n 6.068 * [taylor]: Taking taylor expansion of n in n 6.068 * [taylor]: Taking taylor expansion of PI in n 6.068 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.068 * [taylor]: Taking taylor expansion of 2.0 in n 6.068 * [taylor]: Taking taylor expansion of (* n PI) in n 6.068 * [taylor]: Taking taylor expansion of n in n 6.068 * [taylor]: Taking taylor expansion of PI in n 6.080 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.080 * [taylor]: Taking taylor expansion of 2.0 in n 6.080 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.080 * [taylor]: Taking taylor expansion of PI in n 6.080 * [taylor]: Taking taylor expansion of n in n 6.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.080 * [taylor]: Taking taylor expansion of 2.0 in n 6.080 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.080 * [taylor]: Taking taylor expansion of PI in n 6.080 * [taylor]: Taking taylor expansion of n in n 6.095 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.095 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.095 * [taylor]: Taking taylor expansion of -2.0 in n 6.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.095 * [taylor]: Taking taylor expansion of PI in n 6.095 * [taylor]: Taking taylor expansion of n in n 6.095 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.095 * [taylor]: Taking taylor expansion of -2.0 in n 6.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.095 * [taylor]: Taking taylor expansion of PI in n 6.095 * [taylor]: Taking taylor expansion of n in n 6.104 * * * [progress]: simplifying candidates 6.112 * [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)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt 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(* (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))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (- (+ (* 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)) 6.146 * * [simplify]: iteration 0 : 566 enodes (cost 9021 ) 6.371 * * [simplify]: iteration 1 : 1357 enodes (cost 7684 ) 6.820 * * [simplify]: iteration 2 : 3386 enodes (cost 7111 ) 7.366 * * [simplify]: iteration done : 5001 enodes (cost 7106 ) 7.370 * [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 k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) 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(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) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (* 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 k 2)) (pow (sqrt +nan.0) 3)))) (+ (* (* 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) 7.373 * * * [progress]: adding candidates to table 8.133 * * [progress]: iteration 4 / 4 8.133 * * * [progress]: picking best candidate 8.174 * * * * [pick]: Picked # 8.174 * * * [progress]: localizing error 8.189 * * * [progress]: generating rewritten candidates 8.189 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 8.192 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 8.195 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.255 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 8.272 * * * [progress]: generating series expansions 8.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 8.272 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.272 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.272 * [taylor]: Taking taylor expansion of 1.0 in k 8.272 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.272 * [taylor]: Taking taylor expansion of k in k 8.274 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.274 * [taylor]: Taking taylor expansion of 1.0 in k 8.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.274 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.274 * [taylor]: Taking taylor expansion of k in k 8.285 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.285 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.285 * [taylor]: Taking taylor expansion of 1.0 in k 8.285 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.285 * [taylor]: Taking taylor expansion of k in k 8.286 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.286 * [taylor]: Taking taylor expansion of 1.0 in k 8.286 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.286 * [taylor]: Taking taylor expansion of k in k 8.297 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.297 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.297 * [taylor]: Taking taylor expansion of 1.0 in k 8.297 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.297 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.297 * [taylor]: Taking taylor expansion of -1 in k 8.297 * [taylor]: Taking taylor expansion of k in k 8.299 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.299 * [taylor]: Taking taylor expansion of 1.0 in k 8.299 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.299 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.299 * [taylor]: Taking taylor expansion of -1 in k 8.299 * [taylor]: Taking taylor expansion of k in k 8.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 8.311 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.311 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.311 * [taylor]: Taking taylor expansion of 1.0 in k 8.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.311 * [taylor]: Taking taylor expansion of k in k 8.312 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.312 * [taylor]: Taking taylor expansion of 1.0 in k 8.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.312 * [taylor]: Taking taylor expansion of k in k 8.328 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.329 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.329 * [taylor]: Taking taylor expansion of 1.0 in k 8.329 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.329 * [taylor]: Taking taylor expansion of k in k 8.330 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.330 * [taylor]: Taking taylor expansion of 1.0 in k 8.330 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.330 * [taylor]: Taking taylor expansion of k in k 8.340 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.340 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.340 * [taylor]: Taking taylor expansion of 1.0 in k 8.340 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.340 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.340 * [taylor]: Taking taylor expansion of -1 in k 8.340 * [taylor]: Taking taylor expansion of k in k 8.342 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.342 * [taylor]: Taking taylor expansion of 1.0 in k 8.342 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.342 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.342 * [taylor]: Taking taylor expansion of -1 in k 8.342 * [taylor]: Taking taylor expansion of k in k 8.354 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.355 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in (k n) around 0 8.355 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in n 8.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.355 * [taylor]: Taking taylor expansion of k in n 8.355 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in n 8.355 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.355 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.355 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.355 * [taylor]: Taking taylor expansion of 0.5 in n 8.355 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.355 * [taylor]: Taking taylor expansion of 1.0 in n 8.355 * [taylor]: Taking taylor expansion of k in n 8.355 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.355 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.355 * [taylor]: Taking taylor expansion of 2.0 in n 8.355 * [taylor]: Taking taylor expansion of (* n PI) in n 8.355 * [taylor]: Taking taylor expansion of n in n 8.356 * [taylor]: Taking taylor expansion of PI in n 8.361 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.361 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.361 * [taylor]: Taking taylor expansion of 1.0 in n 8.362 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 8.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.362 * [taylor]: Taking taylor expansion of k in k 8.363 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 8.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.363 * [taylor]: Taking taylor expansion of 0.5 in k 8.363 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.363 * [taylor]: Taking taylor expansion of 1.0 in k 8.363 * [taylor]: Taking taylor expansion of k in k 8.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.363 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.363 * [taylor]: Taking taylor expansion of 2.0 in k 8.363 * [taylor]: Taking taylor expansion of (* n PI) in k 8.363 * [taylor]: Taking taylor expansion of n in k 8.363 * [taylor]: Taking taylor expansion of PI in k 8.364 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.364 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.364 * [taylor]: Taking taylor expansion of 1.0 in k 8.365 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 8.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.365 * [taylor]: Taking taylor expansion of k in k 8.366 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 8.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.366 * [taylor]: Taking taylor expansion of 0.5 in k 8.366 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.366 * [taylor]: Taking taylor expansion of 1.0 in k 8.366 * [taylor]: Taking taylor expansion of k in k 8.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.366 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.366 * [taylor]: Taking taylor expansion of 2.0 in k 8.366 * [taylor]: Taking taylor expansion of (* n PI) in k 8.366 * [taylor]: Taking taylor expansion of n in k 8.366 * [taylor]: Taking taylor expansion of PI in k 8.367 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.367 * [taylor]: Taking taylor expansion of 1.0 in k 8.371 * [taylor]: Taking taylor expansion of 0 in n 8.380 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 8.380 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 8.380 * [taylor]: Taking taylor expansion of +nan.0 in n 8.380 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 8.380 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.380 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.380 * [taylor]: Taking taylor expansion of 0.5 in n 8.380 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.380 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.380 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.380 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.380 * [taylor]: Taking taylor expansion of 1.0 in n 8.380 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.380 * [taylor]: Taking taylor expansion of 2.0 in n 8.382 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.382 * [taylor]: Taking taylor expansion of 1.0 in n 8.382 * [taylor]: Taking taylor expansion of (log n) in n 8.382 * [taylor]: Taking taylor expansion of n in n 8.383 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.383 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.383 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.383 * [taylor]: Taking taylor expansion of 1.0 in n 8.383 * [taylor]: Taking taylor expansion of (log PI) in n 8.383 * [taylor]: Taking taylor expansion of PI in n 8.388 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.388 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.388 * [taylor]: Taking taylor expansion of 1.0 in n 8.416 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 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) (pow (sqrt 1.0) 2)))))) in n 8.416 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 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) (pow (sqrt 1.0) 2))))) in n 8.416 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.416 * [taylor]: Taking taylor expansion of +nan.0 in n 8.416 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.416 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) in n 8.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.417 * [taylor]: Taking taylor expansion of 2.0 in n 8.417 * [taylor]: Taking taylor expansion of (* n PI) in n 8.417 * [taylor]: Taking taylor expansion of n in n 8.417 * [taylor]: Taking taylor expansion of PI in n 8.420 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.420 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.420 * [taylor]: Taking taylor expansion of 1.0 in n 8.420 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.420 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.420 * [taylor]: Taking taylor expansion of 0.5 in n 8.420 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.420 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.420 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.420 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.421 * [taylor]: Taking taylor expansion of 1.0 in n 8.421 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.421 * [taylor]: Taking taylor expansion of 2.0 in n 8.422 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.422 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.422 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.422 * [taylor]: Taking taylor expansion of 1.0 in n 8.422 * [taylor]: Taking taylor expansion of (log n) in n 8.422 * [taylor]: Taking taylor expansion of n in n 8.423 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.423 * [taylor]: Taking taylor expansion of 1.0 in n 8.423 * [taylor]: Taking taylor expansion of (log PI) in n 8.423 * [taylor]: Taking taylor expansion of PI in n 8.428 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 8.428 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 8.428 * [taylor]: Taking taylor expansion of +nan.0 in n 8.429 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 8.429 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.429 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.429 * [taylor]: Taking taylor expansion of 0.5 in n 8.429 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.429 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.429 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.429 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.429 * [taylor]: Taking taylor expansion of 1.0 in n 8.429 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.429 * [taylor]: Taking taylor expansion of 2.0 in n 8.430 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.430 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.431 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.431 * [taylor]: Taking taylor expansion of 1.0 in n 8.431 * [taylor]: Taking taylor expansion of (log n) in n 8.431 * [taylor]: Taking taylor expansion of n in n 8.431 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.431 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.431 * [taylor]: Taking taylor expansion of 1.0 in n 8.431 * [taylor]: Taking taylor expansion of (log PI) in n 8.431 * [taylor]: Taking taylor expansion of PI in n 8.437 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.437 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.437 * [taylor]: Taking taylor expansion of 1.0 in n 8.505 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 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) (pow (sqrt 1.0) 2)))))))) in n 8.505 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 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) (pow (sqrt 1.0) 2))))))) in n 8.505 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.505 * [taylor]: Taking taylor expansion of +nan.0 in n 8.505 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.505 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) in n 8.505 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.505 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.505 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.506 * [taylor]: Taking taylor expansion of 2.0 in n 8.506 * [taylor]: Taking taylor expansion of (* n PI) in n 8.506 * [taylor]: Taking taylor expansion of n in n 8.506 * [taylor]: Taking taylor expansion of PI in n 8.509 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.509 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.509 * [taylor]: Taking taylor expansion of 1.0 in n 8.510 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.510 * [taylor]: Taking taylor expansion of 0.5 in n 8.510 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.510 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.510 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.510 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.510 * [taylor]: Taking taylor expansion of 1.0 in n 8.510 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.510 * [taylor]: Taking taylor expansion of 2.0 in n 8.512 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.512 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.512 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.512 * [taylor]: Taking taylor expansion of 1.0 in n 8.512 * [taylor]: Taking taylor expansion of (log n) in n 8.512 * [taylor]: Taking taylor expansion of n in n 8.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.513 * [taylor]: Taking taylor expansion of 1.0 in n 8.513 * [taylor]: Taking taylor expansion of (log PI) in n 8.513 * [taylor]: Taking taylor expansion of PI in n 8.518 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 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) (pow (sqrt 1.0) 2)))))) in n 8.518 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 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) (pow (sqrt 1.0) 2))))) in n 8.518 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.518 * [taylor]: Taking taylor expansion of +nan.0 in n 8.518 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.518 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) in n 8.518 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.518 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.518 * [taylor]: Taking taylor expansion of 2.0 in n 8.518 * [taylor]: Taking taylor expansion of (* n PI) in n 8.518 * [taylor]: Taking taylor expansion of n in n 8.518 * [taylor]: Taking taylor expansion of PI in n 8.521 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.521 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.521 * [taylor]: Taking taylor expansion of 1.0 in n 8.522 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.522 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.522 * [taylor]: Taking taylor expansion of 0.5 in n 8.522 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.522 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.522 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.522 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.522 * [taylor]: Taking taylor expansion of 1.0 in n 8.522 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.522 * [taylor]: Taking taylor expansion of 2.0 in n 8.524 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.524 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.524 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.524 * [taylor]: Taking taylor expansion of 1.0 in n 8.524 * [taylor]: Taking taylor expansion of (log n) in n 8.524 * [taylor]: Taking taylor expansion of n in n 8.525 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.525 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.525 * [taylor]: Taking taylor expansion of 1.0 in n 8.525 * [taylor]: Taking taylor expansion of (log PI) in n 8.525 * [taylor]: Taking taylor expansion of PI in n 8.530 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 8.530 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 8.530 * [taylor]: Taking taylor expansion of +nan.0 in n 8.530 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 8.530 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.530 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.530 * [taylor]: Taking taylor expansion of 0.5 in n 8.530 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.530 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.530 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.530 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.530 * [taylor]: Taking taylor expansion of 1.0 in n 8.530 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.530 * [taylor]: Taking taylor expansion of 2.0 in n 8.532 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.532 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.532 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.532 * [taylor]: Taking taylor expansion of 1.0 in n 8.532 * [taylor]: Taking taylor expansion of (log n) in n 8.532 * [taylor]: Taking taylor expansion of n in n 8.533 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.533 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.533 * [taylor]: Taking taylor expansion of 1.0 in n 8.533 * [taylor]: Taking taylor expansion of (log PI) in n 8.533 * [taylor]: Taking taylor expansion of PI in n 8.538 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.538 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.538 * [taylor]: Taking taylor expansion of 1.0 in n 8.643 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 8.643 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 8.643 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.643 * [taylor]: Taking taylor expansion of k in n 8.643 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.643 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.643 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.643 * [taylor]: Taking taylor expansion of 1.0 in n 8.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.644 * [taylor]: Taking taylor expansion of 0.5 in n 8.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.644 * [taylor]: Taking taylor expansion of 1.0 in n 8.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.644 * [taylor]: Taking taylor expansion of k in n 8.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.644 * [taylor]: Taking taylor expansion of 2.0 in n 8.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.644 * [taylor]: Taking taylor expansion of PI in n 8.644 * [taylor]: Taking taylor expansion of n in n 8.648 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.648 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.648 * [taylor]: Taking taylor expansion of k in k 8.649 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.649 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.649 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.649 * [taylor]: Taking taylor expansion of 1.0 in k 8.650 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.650 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.650 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.650 * [taylor]: Taking taylor expansion of 0.5 in k 8.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.650 * [taylor]: Taking taylor expansion of 1.0 in k 8.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.650 * [taylor]: Taking taylor expansion of k in k 8.650 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.650 * [taylor]: Taking taylor expansion of 2.0 in k 8.650 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.651 * [taylor]: Taking taylor expansion of PI in k 8.651 * [taylor]: Taking taylor expansion of n in k 8.652 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.652 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.652 * [taylor]: Taking taylor expansion of k in k 8.653 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.653 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.653 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.653 * [taylor]: Taking taylor expansion of 1.0 in k 8.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.653 * [taylor]: Taking taylor expansion of 0.5 in k 8.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.653 * [taylor]: Taking taylor expansion of 1.0 in k 8.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.654 * [taylor]: Taking taylor expansion of k in k 8.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.654 * [taylor]: Taking taylor expansion of 2.0 in k 8.654 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.654 * [taylor]: Taking taylor expansion of PI in k 8.654 * [taylor]: Taking taylor expansion of n in k 8.657 * [taylor]: Taking taylor expansion of 0 in n 8.659 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.659 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.659 * [taylor]: Taking taylor expansion of +nan.0 in n 8.659 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.660 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.660 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.660 * [taylor]: Taking taylor expansion of 1.0 in n 8.660 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.660 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.660 * [taylor]: Taking taylor expansion of 0.5 in n 8.660 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.660 * [taylor]: Taking taylor expansion of 2.0 in n 8.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.660 * [taylor]: Taking taylor expansion of PI in n 8.660 * [taylor]: Taking taylor expansion of n in n 8.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.662 * [taylor]: Taking taylor expansion of 1.0 in n 8.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.662 * [taylor]: Taking taylor expansion of k in n 8.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.682 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.682 * [taylor]: Taking taylor expansion of +nan.0 in n 8.682 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.682 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.682 * [taylor]: Taking taylor expansion of 1.0 in n 8.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.683 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.683 * [taylor]: Taking taylor expansion of 0.5 in n 8.683 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.683 * [taylor]: Taking taylor expansion of 2.0 in n 8.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.683 * [taylor]: Taking taylor expansion of PI in n 8.683 * [taylor]: Taking taylor expansion of n in n 8.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.684 * [taylor]: Taking taylor expansion of 1.0 in n 8.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.684 * [taylor]: Taking taylor expansion of k in n 8.709 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.710 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.710 * [taylor]: Taking taylor expansion of +nan.0 in n 8.710 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.710 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.710 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.710 * [taylor]: Taking taylor expansion of 1.0 in n 8.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.710 * [taylor]: Taking taylor expansion of 0.5 in n 8.710 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.710 * [taylor]: Taking taylor expansion of 2.0 in n 8.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.711 * [taylor]: Taking taylor expansion of PI in n 8.711 * [taylor]: Taking taylor expansion of n in n 8.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.712 * [taylor]: Taking taylor expansion of 1.0 in n 8.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.712 * [taylor]: Taking taylor expansion of k in n 8.728 * [approximate]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in (k n) around 0 8.728 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in n 8.728 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in n 8.728 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.728 * [taylor]: Taking taylor expansion of 0.5 in n 8.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.728 * [taylor]: Taking taylor expansion of k in n 8.728 * [taylor]: Taking taylor expansion of 1.0 in n 8.728 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.728 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.728 * [taylor]: Taking taylor expansion of -2.0 in n 8.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.728 * [taylor]: Taking taylor expansion of PI in n 8.728 * [taylor]: Taking taylor expansion of n in n 8.732 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.732 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.732 * [taylor]: Taking taylor expansion of 1.0 in n 8.733 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.733 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.733 * [taylor]: Taking taylor expansion of -1 in n 8.733 * [taylor]: Taking taylor expansion of k in n 8.736 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 8.736 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 8.736 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.736 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.736 * [taylor]: Taking taylor expansion of 0.5 in k 8.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.736 * [taylor]: Taking taylor expansion of k in k 8.737 * [taylor]: Taking taylor expansion of 1.0 in k 8.737 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.737 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.737 * [taylor]: Taking taylor expansion of -2.0 in k 8.737 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.737 * [taylor]: Taking taylor expansion of PI in k 8.737 * [taylor]: Taking taylor expansion of n in k 8.738 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.738 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.738 * [taylor]: Taking taylor expansion of 1.0 in k 8.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.738 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.738 * [taylor]: Taking taylor expansion of -1 in k 8.738 * [taylor]: Taking taylor expansion of k in k 8.742 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 8.742 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 8.742 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.742 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.742 * [taylor]: Taking taylor expansion of 0.5 in k 8.742 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.742 * [taylor]: Taking taylor expansion of k in k 8.743 * [taylor]: Taking taylor expansion of 1.0 in k 8.743 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.743 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.743 * [taylor]: Taking taylor expansion of -2.0 in k 8.743 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.743 * [taylor]: Taking taylor expansion of PI in k 8.743 * [taylor]: Taking taylor expansion of n in k 8.744 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.744 * [taylor]: Taking taylor expansion of 1.0 in k 8.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.745 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.745 * [taylor]: Taking taylor expansion of -1 in k 8.745 * [taylor]: Taking taylor expansion of k in k 8.748 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.748 * [taylor]: Taking taylor expansion of +nan.0 in n 8.748 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.748 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.748 * [taylor]: Taking taylor expansion of 0.5 in n 8.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.748 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.748 * [taylor]: Taking taylor expansion of k in n 8.748 * [taylor]: Taking taylor expansion of 1.0 in n 8.748 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.748 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.748 * [taylor]: Taking taylor expansion of -2.0 in n 8.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.748 * [taylor]: Taking taylor expansion of PI in n 8.749 * [taylor]: Taking taylor expansion of n in n 8.753 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.753 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.753 * [taylor]: Taking taylor expansion of 1.0 in n 8.763 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)))) in n 8.763 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.763 * [taylor]: Taking taylor expansion of +nan.0 in n 8.763 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.763 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.763 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.763 * [taylor]: Taking taylor expansion of 0.5 in n 8.763 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.763 * [taylor]: Taking taylor expansion of k in n 8.763 * [taylor]: Taking taylor expansion of 1.0 in n 8.763 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.763 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.763 * [taylor]: Taking taylor expansion of -2.0 in n 8.763 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.763 * [taylor]: Taking taylor expansion of PI in n 8.763 * [taylor]: Taking taylor expansion of n in n 8.773 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.773 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.773 * [taylor]: Taking taylor expansion of 1.0 in n 8.796 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)))) in n 8.796 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.796 * [taylor]: Taking taylor expansion of +nan.0 in n 8.796 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.797 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.797 * [taylor]: Taking taylor expansion of 0.5 in n 8.797 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.797 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.797 * [taylor]: Taking taylor expansion of k in n 8.797 * [taylor]: Taking taylor expansion of 1.0 in n 8.797 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.797 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.797 * [taylor]: Taking taylor expansion of -2.0 in n 8.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.797 * [taylor]: Taking taylor expansion of PI in n 8.797 * [taylor]: Taking taylor expansion of n in n 8.801 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.801 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.801 * [taylor]: Taking taylor expansion of 1.0 in n 8.813 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 8.814 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.814 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.814 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.814 * [taylor]: Taking taylor expansion of 0.5 in k 8.814 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.814 * [taylor]: Taking taylor expansion of 1.0 in k 8.814 * [taylor]: Taking taylor expansion of k in k 8.814 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.814 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.814 * [taylor]: Taking taylor expansion of 2.0 in k 8.814 * [taylor]: Taking taylor expansion of (* n PI) in k 8.814 * [taylor]: Taking taylor expansion of n in k 8.814 * [taylor]: Taking taylor expansion of PI in k 8.815 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.815 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.815 * [taylor]: Taking taylor expansion of 0.5 in n 8.815 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.815 * [taylor]: Taking taylor expansion of 1.0 in n 8.815 * [taylor]: Taking taylor expansion of k in n 8.815 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.815 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.815 * [taylor]: Taking taylor expansion of 2.0 in n 8.815 * [taylor]: Taking taylor expansion of (* n PI) in n 8.815 * [taylor]: Taking taylor expansion of n in n 8.815 * [taylor]: Taking taylor expansion of PI in n 8.820 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.820 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.820 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.820 * [taylor]: Taking taylor expansion of 0.5 in n 8.820 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.820 * [taylor]: Taking taylor expansion of 1.0 in n 8.820 * [taylor]: Taking taylor expansion of k in n 8.820 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.820 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.820 * [taylor]: Taking taylor expansion of 2.0 in n 8.821 * [taylor]: Taking taylor expansion of (* n PI) in n 8.821 * [taylor]: Taking taylor expansion of n in n 8.821 * [taylor]: Taking taylor expansion of PI in n 8.826 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.826 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.826 * [taylor]: Taking taylor expansion of 0.5 in k 8.826 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.826 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.826 * [taylor]: Taking taylor expansion of 1.0 in k 8.826 * [taylor]: Taking taylor expansion of k in k 8.826 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.826 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.826 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.826 * [taylor]: Taking taylor expansion of 2.0 in k 8.826 * [taylor]: Taking taylor expansion of PI in k 8.827 * [taylor]: Taking taylor expansion of (log n) in k 8.827 * [taylor]: Taking taylor expansion of n in k 8.836 * [taylor]: Taking taylor expansion of 0 in k 8.852 * [taylor]: Taking taylor expansion of 0 in k 8.877 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.877 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.877 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.878 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.878 * [taylor]: Taking taylor expansion of 0.5 in k 8.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.878 * [taylor]: Taking taylor expansion of 1.0 in k 8.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.878 * [taylor]: Taking taylor expansion of k in k 8.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.878 * [taylor]: Taking taylor expansion of 2.0 in k 8.878 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.878 * [taylor]: Taking taylor expansion of PI in k 8.878 * [taylor]: Taking taylor expansion of n in k 8.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.879 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.879 * [taylor]: Taking taylor expansion of 0.5 in n 8.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.879 * [taylor]: Taking taylor expansion of 1.0 in n 8.879 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.879 * [taylor]: Taking taylor expansion of k in n 8.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.879 * [taylor]: Taking taylor expansion of 2.0 in n 8.879 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.879 * [taylor]: Taking taylor expansion of PI in n 8.879 * [taylor]: Taking taylor expansion of n in n 8.883 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.883 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.883 * [taylor]: Taking taylor expansion of 0.5 in n 8.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.883 * [taylor]: Taking taylor expansion of 1.0 in n 8.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.883 * [taylor]: Taking taylor expansion of k in n 8.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.883 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.883 * [taylor]: Taking taylor expansion of 2.0 in n 8.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.883 * [taylor]: Taking taylor expansion of PI in n 8.883 * [taylor]: Taking taylor expansion of n in n 8.887 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.887 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.887 * [taylor]: Taking taylor expansion of 0.5 in k 8.887 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.887 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.887 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.887 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.887 * [taylor]: Taking taylor expansion of 2.0 in k 8.887 * [taylor]: Taking taylor expansion of PI in k 8.888 * [taylor]: Taking taylor expansion of (log n) in k 8.888 * [taylor]: Taking taylor expansion of n in k 8.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.888 * [taylor]: Taking taylor expansion of 1.0 in k 8.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.888 * [taylor]: Taking taylor expansion of k in k 8.897 * [taylor]: Taking taylor expansion of 0 in k 8.904 * [taylor]: Taking taylor expansion of 0 in k 8.913 * [taylor]: Taking taylor expansion of 0 in k 8.915 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.915 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.915 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.915 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.915 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.915 * [taylor]: Taking taylor expansion of 0.5 in k 8.915 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.915 * [taylor]: Taking taylor expansion of k in k 8.915 * [taylor]: Taking taylor expansion of 1.0 in k 8.915 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.915 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.915 * [taylor]: Taking taylor expansion of -2.0 in k 8.915 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.915 * [taylor]: Taking taylor expansion of PI in k 8.915 * [taylor]: Taking taylor expansion of n in k 8.916 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.916 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.916 * [taylor]: Taking taylor expansion of 0.5 in n 8.916 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.916 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.916 * [taylor]: Taking taylor expansion of k in n 8.916 * [taylor]: Taking taylor expansion of 1.0 in n 8.916 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.916 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.916 * [taylor]: Taking taylor expansion of -2.0 in n 8.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.916 * [taylor]: Taking taylor expansion of PI in n 8.916 * [taylor]: Taking taylor expansion of n in n 8.920 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.920 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.920 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.920 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.920 * [taylor]: Taking taylor expansion of 0.5 in n 8.920 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.920 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.920 * [taylor]: Taking taylor expansion of k in n 8.920 * [taylor]: Taking taylor expansion of 1.0 in n 8.920 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.920 * [taylor]: Taking taylor expansion of -2.0 in n 8.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.920 * [taylor]: Taking taylor expansion of PI in n 8.920 * [taylor]: Taking taylor expansion of n in n 8.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.924 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.924 * [taylor]: Taking taylor expansion of 0.5 in k 8.924 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.924 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.924 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.924 * [taylor]: Taking taylor expansion of k in k 8.924 * [taylor]: Taking taylor expansion of 1.0 in k 8.924 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.924 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.924 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.924 * [taylor]: Taking taylor expansion of -2.0 in k 8.924 * [taylor]: Taking taylor expansion of PI in k 8.925 * [taylor]: Taking taylor expansion of (log n) in k 8.925 * [taylor]: Taking taylor expansion of n in k 8.934 * [taylor]: Taking taylor expansion of 0 in k 8.941 * [taylor]: Taking taylor expansion of 0 in k 8.956 * [taylor]: Taking taylor expansion of 0 in k 8.957 * * * [progress]: simplifying candidates 8.960 * [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 (* (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)))))) (log1p (* (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)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ 1 1) (+ (log (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (log (* (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)))))) (exp (* (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)))))) (* (* (* (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))))) (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)))) (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)))))) (* (cbrt (* (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)))))) (cbrt (* (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))))))) (cbrt (* (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)))))) (* (* (* (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))))) (* (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)))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (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)))))) (sqrt (* (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)))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (sqrt k))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (sqrt k))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* 1 1) (* (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))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (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)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (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) (* (cbrt (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))))) (* (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))))) (* (sqrt (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))))) (* (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))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 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 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 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 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (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))))) (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 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(sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 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)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (- (fma (* (* (* (pow k 2) 1.0) +nan.0) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (fma (* (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) 1.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (fma (* k (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 1.0)) +nan.0 (- (- (* (* 1.0 (* k (log (* 2.0 PI)))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (- (* (* k (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 1.0)) (log n)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 1.0)))) (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* (pow k 2) 1.0) (log (* 2.0 PI)))))) (* (* +nan.0 (pow k 2)) (* (pow (log n) 2) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 1.0))))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (* +nan.0 1.0) (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))) (* (pow k 2) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 1.0)))) (- (* +nan.0 (- (/ 1.0 (/ k (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)))) (/ (* (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) 1.0) (pow k 3)))) (/ (* (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) +nan.0) (/ (pow k 2) 1.0))) (- (* +nan.0 (- (* (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.0) (/ (/ 1.0 (/ k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) k))) (/ (* +nan.0 1.0) (/ k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (+ (fma (* 0.25 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) (pow (* (* 2.0 PI) n) 0.5)) (* (* 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))))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (log (* 2.0 PI)) (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)))))) 10.098 * * * [progress]: adding candidates to table 10.679 * [progress]: [Phase 3 of 3] Extracting. 10.679 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 10.687 * * * [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) 10.687 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 10.740 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 10.798 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 10.851 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 10.908 * * * [regime]: Found split indices: #