21.051 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.072 * [progress]: [Phase 2 of 3] Improving. 0.073 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.074 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.075 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.079 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.087 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.110 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.192 * * [simplify]: iteration 5 : 803 enodes (cost 16 ) 0.586 * * [simplify]: iteration 6 : 3283 enodes (cost 16 ) 1.981 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 1.981 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.981 * * [progress]: iteration 1 / 4 1.981 * * * [progress]: picking best candidate 1.984 * * * * [pick]: Picked # 1.984 * * * [progress]: localizing error 2.001 * * * [progress]: generating rewritten candidates 2.001 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.010 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.013 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.019 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.043 * * * [progress]: generating series expansions 2.043 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.044 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.044 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.044 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.044 * [taylor]: Taking taylor expansion of 0.5 in k 2.044 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.044 * [taylor]: Taking taylor expansion of 1.0 in k 2.044 * [taylor]: Taking taylor expansion of k in k 2.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.044 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.044 * [taylor]: Taking taylor expansion of 2.0 in k 2.044 * [taylor]: Taking taylor expansion of (* n PI) in k 2.044 * [taylor]: Taking taylor expansion of n in k 2.044 * [taylor]: Taking taylor expansion of PI in k 2.045 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.045 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.045 * [taylor]: Taking taylor expansion of 0.5 in n 2.045 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.045 * [taylor]: Taking taylor expansion of 1.0 in n 2.045 * [taylor]: Taking taylor expansion of k in n 2.045 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.045 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.045 * [taylor]: Taking taylor expansion of 2.0 in n 2.045 * [taylor]: Taking taylor expansion of (* n PI) in n 2.045 * [taylor]: Taking taylor expansion of n in n 2.045 * [taylor]: Taking taylor expansion of PI in n 2.051 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.051 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.051 * [taylor]: Taking taylor expansion of 0.5 in n 2.051 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.051 * [taylor]: Taking taylor expansion of 1.0 in n 2.051 * [taylor]: Taking taylor expansion of k in n 2.051 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.051 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.051 * [taylor]: Taking taylor expansion of 2.0 in n 2.051 * [taylor]: Taking taylor expansion of (* n PI) in n 2.051 * [taylor]: Taking taylor expansion of n in n 2.051 * [taylor]: Taking taylor expansion of PI in n 2.056 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.057 * [taylor]: Taking taylor expansion of 0.5 in k 2.057 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.057 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.057 * [taylor]: Taking taylor expansion of 1.0 in k 2.057 * [taylor]: Taking taylor expansion of k in k 2.057 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.057 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.057 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.057 * [taylor]: Taking taylor expansion of 2.0 in k 2.057 * [taylor]: Taking taylor expansion of PI in k 2.058 * [taylor]: Taking taylor expansion of (log n) in k 2.058 * [taylor]: Taking taylor expansion of n in k 2.067 * [taylor]: Taking taylor expansion of 0 in k 2.087 * [taylor]: Taking taylor expansion of 0 in k 2.106 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.106 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.106 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.106 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.106 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.106 * [taylor]: Taking taylor expansion of 0.5 in k 2.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.106 * [taylor]: Taking taylor expansion of 1.0 in k 2.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.106 * [taylor]: Taking taylor expansion of k in k 2.106 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.106 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.106 * [taylor]: Taking taylor expansion of 2.0 in k 2.106 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.106 * [taylor]: Taking taylor expansion of PI in k 2.106 * [taylor]: Taking taylor expansion of n in k 2.108 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.108 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.108 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.108 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.108 * [taylor]: Taking taylor expansion of 0.5 in n 2.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.108 * [taylor]: Taking taylor expansion of 1.0 in n 2.108 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.108 * [taylor]: Taking taylor expansion of k in n 2.108 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.108 * [taylor]: Taking taylor expansion of 2.0 in n 2.108 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.108 * [taylor]: Taking taylor expansion of PI in n 2.108 * [taylor]: Taking taylor expansion of n in n 2.111 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.112 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.112 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.112 * [taylor]: Taking taylor expansion of 0.5 in n 2.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.112 * [taylor]: Taking taylor expansion of 1.0 in n 2.112 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.112 * [taylor]: Taking taylor expansion of k in n 2.112 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.112 * [taylor]: Taking taylor expansion of 2.0 in n 2.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.112 * [taylor]: Taking taylor expansion of PI in n 2.112 * [taylor]: Taking taylor expansion of n in n 2.116 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.116 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.116 * [taylor]: Taking taylor expansion of 0.5 in k 2.116 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.116 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.116 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.116 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.116 * [taylor]: Taking taylor expansion of 2.0 in k 2.116 * [taylor]: Taking taylor expansion of PI in k 2.117 * [taylor]: Taking taylor expansion of (log n) in k 2.117 * [taylor]: Taking taylor expansion of n in k 2.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.117 * [taylor]: Taking taylor expansion of 1.0 in k 2.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.117 * [taylor]: Taking taylor expansion of k in k 2.127 * [taylor]: Taking taylor expansion of 0 in k 2.134 * [taylor]: Taking taylor expansion of 0 in k 2.143 * [taylor]: Taking taylor expansion of 0 in k 2.144 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.144 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.144 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.144 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.144 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.144 * [taylor]: Taking taylor expansion of 0.5 in k 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.145 * [taylor]: Taking taylor expansion of k in k 2.145 * [taylor]: Taking taylor expansion of 1.0 in k 2.145 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.145 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.145 * [taylor]: Taking taylor expansion of -2.0 in k 2.145 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.145 * [taylor]: Taking taylor expansion of PI in k 2.145 * [taylor]: Taking taylor expansion of n in k 2.146 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.146 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.146 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.146 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.146 * [taylor]: Taking taylor expansion of 0.5 in n 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.146 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.146 * [taylor]: Taking taylor expansion of k in n 2.146 * [taylor]: Taking taylor expansion of 1.0 in n 2.146 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.146 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.146 * [taylor]: Taking taylor expansion of -2.0 in n 2.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.146 * [taylor]: Taking taylor expansion of PI in n 2.146 * [taylor]: Taking taylor expansion of n in n 2.150 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.150 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.150 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.150 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.150 * [taylor]: Taking taylor expansion of 0.5 in n 2.150 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.150 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.150 * [taylor]: Taking taylor expansion of k in n 2.150 * [taylor]: Taking taylor expansion of 1.0 in n 2.150 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.150 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.150 * [taylor]: Taking taylor expansion of -2.0 in n 2.150 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.150 * [taylor]: Taking taylor expansion of PI in n 2.150 * [taylor]: Taking taylor expansion of n in n 2.154 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.154 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.154 * [taylor]: Taking taylor expansion of 0.5 in k 2.154 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.154 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.154 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.154 * [taylor]: Taking taylor expansion of k in k 2.154 * [taylor]: Taking taylor expansion of 1.0 in k 2.154 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.154 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.154 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.154 * [taylor]: Taking taylor expansion of -2.0 in k 2.154 * [taylor]: Taking taylor expansion of PI in k 2.155 * [taylor]: Taking taylor expansion of (log n) in k 2.155 * [taylor]: Taking taylor expansion of n in k 2.167 * [taylor]: Taking taylor expansion of 0 in k 2.174 * [taylor]: Taking taylor expansion of 0 in k 2.183 * [taylor]: Taking taylor expansion of 0 in k 2.184 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.184 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.184 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.184 * [taylor]: Taking taylor expansion of 1.0 in k 2.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.184 * [taylor]: Taking taylor expansion of k in k 2.186 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.186 * [taylor]: Taking taylor expansion of 1.0 in k 2.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.186 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.186 * [taylor]: Taking taylor expansion of k in k 2.197 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.197 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.197 * [taylor]: Taking taylor expansion of 1.0 in k 2.197 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.197 * [taylor]: Taking taylor expansion of k in k 2.198 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.198 * [taylor]: Taking taylor expansion of 1.0 in k 2.198 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.198 * [taylor]: Taking taylor expansion of k in k 2.208 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.208 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.208 * [taylor]: Taking taylor expansion of 1.0 in k 2.208 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.208 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.208 * [taylor]: Taking taylor expansion of -1 in k 2.208 * [taylor]: Taking taylor expansion of k in k 2.210 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.210 * [taylor]: Taking taylor expansion of 1.0 in k 2.210 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.210 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.210 * [taylor]: Taking taylor expansion of -1 in k 2.210 * [taylor]: Taking taylor expansion of k in k 2.222 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.222 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.222 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.222 * [taylor]: Taking taylor expansion of 2.0 in n 2.222 * [taylor]: Taking taylor expansion of (* n PI) in n 2.222 * [taylor]: Taking taylor expansion of n in n 2.222 * [taylor]: Taking taylor expansion of PI in n 2.222 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.222 * [taylor]: Taking taylor expansion of 2.0 in n 2.222 * [taylor]: Taking taylor expansion of (* n PI) in n 2.222 * [taylor]: Taking taylor expansion of n in n 2.222 * [taylor]: Taking taylor expansion of PI in n 2.234 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.234 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.234 * [taylor]: Taking taylor expansion of 2.0 in n 2.234 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.234 * [taylor]: Taking taylor expansion of PI in n 2.234 * [taylor]: Taking taylor expansion of n in n 2.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.235 * [taylor]: Taking taylor expansion of 2.0 in n 2.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.235 * [taylor]: Taking taylor expansion of PI in n 2.235 * [taylor]: Taking taylor expansion of n in n 2.247 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.247 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.247 * [taylor]: Taking taylor expansion of -2.0 in n 2.247 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.247 * [taylor]: Taking taylor expansion of PI in n 2.247 * [taylor]: Taking taylor expansion of n in n 2.247 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.247 * [taylor]: Taking taylor expansion of -2.0 in n 2.247 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.247 * [taylor]: Taking taylor expansion of PI in n 2.247 * [taylor]: Taking taylor expansion of n in n 2.256 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.257 * [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 2.257 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.257 * [taylor]: Taking taylor expansion of 1.0 in n 2.257 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.257 * [taylor]: Taking taylor expansion of k in n 2.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.257 * [taylor]: Taking taylor expansion of 0.5 in n 2.257 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.257 * [taylor]: Taking taylor expansion of 1.0 in n 2.257 * [taylor]: Taking taylor expansion of k in n 2.257 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.257 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.257 * [taylor]: Taking taylor expansion of 2.0 in n 2.257 * [taylor]: Taking taylor expansion of (* n PI) in n 2.257 * [taylor]: Taking taylor expansion of n in n 2.257 * [taylor]: Taking taylor expansion of PI in n 2.262 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.262 * [taylor]: Taking taylor expansion of 1.0 in k 2.262 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.262 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.262 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.262 * [taylor]: Taking taylor expansion of k in k 2.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.264 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.264 * [taylor]: Taking taylor expansion of 0.5 in k 2.264 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.264 * [taylor]: Taking taylor expansion of 1.0 in k 2.264 * [taylor]: Taking taylor expansion of k in k 2.264 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.264 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.264 * [taylor]: Taking taylor expansion of 2.0 in k 2.264 * [taylor]: Taking taylor expansion of (* n PI) in k 2.264 * [taylor]: Taking taylor expansion of n in k 2.264 * [taylor]: Taking taylor expansion of PI in k 2.265 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.265 * [taylor]: Taking taylor expansion of 1.0 in k 2.265 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.265 * [taylor]: Taking taylor expansion of k in k 2.266 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.266 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.267 * [taylor]: Taking taylor expansion of 0.5 in k 2.267 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.267 * [taylor]: Taking taylor expansion of 1.0 in k 2.267 * [taylor]: Taking taylor expansion of k in k 2.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.267 * [taylor]: Taking taylor expansion of 2.0 in k 2.267 * [taylor]: Taking taylor expansion of (* n PI) in k 2.267 * [taylor]: Taking taylor expansion of n in k 2.267 * [taylor]: Taking taylor expansion of PI in k 2.268 * [taylor]: Taking taylor expansion of 0 in n 2.273 * [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 2.273 * [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 2.273 * [taylor]: Taking taylor expansion of +nan.0 in n 2.273 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.274 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.274 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.274 * [taylor]: Taking taylor expansion of 0.5 in n 2.274 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.274 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.274 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.274 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.274 * [taylor]: Taking taylor expansion of 1.0 in n 2.274 * [taylor]: Taking taylor expansion of (log PI) in n 2.274 * [taylor]: Taking taylor expansion of PI in n 2.275 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.276 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.276 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.276 * [taylor]: Taking taylor expansion of 1.0 in n 2.276 * [taylor]: Taking taylor expansion of (log n) in n 2.276 * [taylor]: Taking taylor expansion of n in n 2.276 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.276 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.276 * [taylor]: Taking taylor expansion of 1.0 in n 2.276 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.276 * [taylor]: Taking taylor expansion of 2.0 in n 2.295 * [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 2.295 * [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 2.295 * [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 2.295 * [taylor]: Taking taylor expansion of +nan.0 in n 2.295 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.295 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.295 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.295 * [taylor]: Taking taylor expansion of 0.5 in n 2.295 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.295 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.295 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.296 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.296 * [taylor]: Taking taylor expansion of 1.0 in n 2.296 * [taylor]: Taking taylor expansion of (log PI) in n 2.296 * [taylor]: Taking taylor expansion of PI in n 2.297 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.297 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.297 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.297 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.297 * [taylor]: Taking taylor expansion of 1.0 in n 2.298 * [taylor]: Taking taylor expansion of (log n) in n 2.298 * [taylor]: Taking taylor expansion of n in n 2.298 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.298 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.298 * [taylor]: Taking taylor expansion of 1.0 in n 2.298 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.298 * [taylor]: Taking taylor expansion of 2.0 in n 2.304 * [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 2.304 * [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 2.304 * [taylor]: Taking taylor expansion of +nan.0 in n 2.304 * [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 2.304 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.304 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.304 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.304 * [taylor]: Taking taylor expansion of 0.5 in n 2.304 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.304 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.304 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.304 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.304 * [taylor]: Taking taylor expansion of 1.0 in n 2.304 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.304 * [taylor]: Taking taylor expansion of 2.0 in n 2.306 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.306 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.306 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.306 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.306 * [taylor]: Taking taylor expansion of 1.0 in n 2.306 * [taylor]: Taking taylor expansion of (log PI) in n 2.306 * [taylor]: Taking taylor expansion of PI in n 2.308 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.308 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.308 * [taylor]: Taking taylor expansion of 1.0 in n 2.308 * [taylor]: Taking taylor expansion of (log n) in n 2.308 * [taylor]: Taking taylor expansion of n in n 2.312 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.312 * [taylor]: Taking taylor expansion of 2.0 in n 2.312 * [taylor]: Taking taylor expansion of (* n PI) in n 2.312 * [taylor]: Taking taylor expansion of n in n 2.312 * [taylor]: Taking taylor expansion of PI in n 2.365 * [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 2.365 * [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 2.365 * [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 2.365 * [taylor]: Taking taylor expansion of +nan.0 in n 2.365 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.365 * [taylor]: Taking taylor expansion of 0.5 in n 2.365 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.365 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.365 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.365 * [taylor]: Taking taylor expansion of 1.0 in n 2.365 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.365 * [taylor]: Taking taylor expansion of 2.0 in n 2.367 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.367 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.367 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.367 * [taylor]: Taking taylor expansion of 1.0 in n 2.367 * [taylor]: Taking taylor expansion of (log n) in n 2.367 * [taylor]: Taking taylor expansion of n in n 2.368 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.368 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.368 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.368 * [taylor]: Taking taylor expansion of 1.0 in n 2.368 * [taylor]: Taking taylor expansion of (log PI) in n 2.368 * [taylor]: Taking taylor expansion of PI in n 2.373 * [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 2.373 * [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 2.373 * [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 2.373 * [taylor]: Taking taylor expansion of +nan.0 in n 2.373 * [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 2.373 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.373 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.373 * [taylor]: Taking taylor expansion of 0.5 in n 2.373 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.373 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.374 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.374 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.374 * [taylor]: Taking taylor expansion of 1.0 in n 2.374 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.374 * [taylor]: Taking taylor expansion of 2.0 in n 2.375 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.375 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.375 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of (log PI) in n 2.375 * [taylor]: Taking taylor expansion of PI in n 2.377 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.377 * [taylor]: Taking taylor expansion of 1.0 in n 2.377 * [taylor]: Taking taylor expansion of (log n) in n 2.377 * [taylor]: Taking taylor expansion of n in n 2.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.382 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.382 * [taylor]: Taking taylor expansion of 2.0 in n 2.382 * [taylor]: Taking taylor expansion of (* n PI) in n 2.382 * [taylor]: Taking taylor expansion of n in n 2.382 * [taylor]: Taking taylor expansion of PI in n 2.385 * [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 2.385 * [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 2.385 * [taylor]: Taking taylor expansion of +nan.0 in n 2.385 * [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 2.385 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.385 * [taylor]: Taking taylor expansion of 0.5 in n 2.385 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.385 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.385 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.385 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.385 * [taylor]: Taking taylor expansion of 1.0 in n 2.385 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.385 * [taylor]: Taking taylor expansion of 2.0 in n 2.387 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.387 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.387 * [taylor]: Taking taylor expansion of 1.0 in n 2.387 * [taylor]: Taking taylor expansion of (log PI) in n 2.387 * [taylor]: Taking taylor expansion of PI in n 2.389 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.389 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.389 * [taylor]: Taking taylor expansion of 1.0 in n 2.389 * [taylor]: Taking taylor expansion of (log n) in n 2.389 * [taylor]: Taking taylor expansion of n in n 2.393 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.393 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.393 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.393 * [taylor]: Taking taylor expansion of 2.0 in n 2.393 * [taylor]: Taking taylor expansion of (* n PI) in n 2.393 * [taylor]: Taking taylor expansion of n in n 2.393 * [taylor]: Taking taylor expansion of PI in n 2.470 * [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 2.470 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.470 * [taylor]: Taking taylor expansion of 1.0 in n 2.470 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.470 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.470 * [taylor]: Taking taylor expansion of k in n 2.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.470 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.470 * [taylor]: Taking taylor expansion of 0.5 in n 2.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.470 * [taylor]: Taking taylor expansion of 1.0 in n 2.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.470 * [taylor]: Taking taylor expansion of k in n 2.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.470 * [taylor]: Taking taylor expansion of 2.0 in n 2.470 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.470 * [taylor]: Taking taylor expansion of PI in n 2.470 * [taylor]: Taking taylor expansion of n in n 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.474 * [taylor]: Taking taylor expansion of 1.0 in k 2.474 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.474 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.474 * [taylor]: Taking taylor expansion of k in k 2.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.475 * [taylor]: Taking taylor expansion of 0.5 in k 2.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.475 * [taylor]: Taking taylor expansion of 1.0 in k 2.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.475 * [taylor]: Taking taylor expansion of k in k 2.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.475 * [taylor]: Taking taylor expansion of 2.0 in k 2.475 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.475 * [taylor]: Taking taylor expansion of PI in k 2.476 * [taylor]: Taking taylor expansion of n in k 2.476 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.477 * [taylor]: Taking taylor expansion of 1.0 in k 2.477 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.477 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.477 * [taylor]: Taking taylor expansion of k in k 2.478 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.478 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.478 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.478 * [taylor]: Taking taylor expansion of 0.5 in k 2.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.478 * [taylor]: Taking taylor expansion of 1.0 in k 2.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.478 * [taylor]: Taking taylor expansion of k in k 2.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.478 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.478 * [taylor]: Taking taylor expansion of 2.0 in k 2.478 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.478 * [taylor]: Taking taylor expansion of PI in k 2.478 * [taylor]: Taking taylor expansion of n in k 2.480 * [taylor]: Taking taylor expansion of 0 in n 2.480 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.480 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.480 * [taylor]: Taking taylor expansion of +nan.0 in n 2.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.480 * [taylor]: Taking taylor expansion of 0.5 in n 2.480 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.481 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.481 * [taylor]: Taking taylor expansion of 2.0 in n 2.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.481 * [taylor]: Taking taylor expansion of PI in n 2.481 * [taylor]: Taking taylor expansion of n in n 2.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.482 * [taylor]: Taking taylor expansion of 1.0 in n 2.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.482 * [taylor]: Taking taylor expansion of k in n 2.490 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.490 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.490 * [taylor]: Taking taylor expansion of +nan.0 in n 2.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.490 * [taylor]: Taking taylor expansion of 0.5 in n 2.490 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.490 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.491 * [taylor]: Taking taylor expansion of 2.0 in n 2.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.491 * [taylor]: Taking taylor expansion of PI in n 2.491 * [taylor]: Taking taylor expansion of n in n 2.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.492 * [taylor]: Taking taylor expansion of 1.0 in n 2.492 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.492 * [taylor]: Taking taylor expansion of k in n 2.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.512 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.512 * [taylor]: Taking taylor expansion of +nan.0 in n 2.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.512 * [taylor]: Taking taylor expansion of 0.5 in n 2.512 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.512 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.512 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.512 * [taylor]: Taking taylor expansion of 2.0 in n 2.512 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.512 * [taylor]: Taking taylor expansion of PI in n 2.512 * [taylor]: Taking taylor expansion of n in n 2.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.513 * [taylor]: Taking taylor expansion of 1.0 in n 2.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.513 * [taylor]: Taking taylor expansion of k in n 2.522 * [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 2.522 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.522 * [taylor]: Taking taylor expansion of 1.0 in n 2.522 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.522 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.522 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.522 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.522 * [taylor]: Taking taylor expansion of 0.5 in n 2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.522 * [taylor]: Taking taylor expansion of k in n 2.522 * [taylor]: Taking taylor expansion of 1.0 in n 2.522 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.522 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.522 * [taylor]: Taking taylor expansion of -2.0 in n 2.522 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.522 * [taylor]: Taking taylor expansion of PI in n 2.522 * [taylor]: Taking taylor expansion of n in n 2.526 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.526 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.526 * [taylor]: Taking taylor expansion of -1 in n 2.526 * [taylor]: Taking taylor expansion of k in n 2.527 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.527 * [taylor]: Taking taylor expansion of 1.0 in k 2.527 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.527 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.527 * [taylor]: Taking taylor expansion of 0.5 in k 2.527 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.527 * [taylor]: Taking taylor expansion of k in k 2.527 * [taylor]: Taking taylor expansion of 1.0 in k 2.527 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.527 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.527 * [taylor]: Taking taylor expansion of -2.0 in k 2.527 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.527 * [taylor]: Taking taylor expansion of PI in k 2.527 * [taylor]: Taking taylor expansion of n in k 2.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.528 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.528 * [taylor]: Taking taylor expansion of -1 in k 2.528 * [taylor]: Taking taylor expansion of k in k 2.530 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.530 * [taylor]: Taking taylor expansion of 1.0 in k 2.530 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.530 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.530 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.530 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.530 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.530 * [taylor]: Taking taylor expansion of 0.5 in k 2.530 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.530 * [taylor]: Taking taylor expansion of k in k 2.530 * [taylor]: Taking taylor expansion of 1.0 in k 2.530 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.530 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.530 * [taylor]: Taking taylor expansion of -2.0 in k 2.530 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.530 * [taylor]: Taking taylor expansion of PI in k 2.530 * [taylor]: Taking taylor expansion of n in k 2.531 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.531 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.531 * [taylor]: Taking taylor expansion of -1 in k 2.531 * [taylor]: Taking taylor expansion of k in k 2.533 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.533 * [taylor]: Taking taylor expansion of +nan.0 in n 2.533 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.533 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.533 * [taylor]: Taking taylor expansion of 0.5 in n 2.533 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.533 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.533 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.533 * [taylor]: Taking taylor expansion of k in n 2.533 * [taylor]: Taking taylor expansion of 1.0 in n 2.533 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.533 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.533 * [taylor]: Taking taylor expansion of -2.0 in n 2.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.533 * [taylor]: Taking taylor expansion of PI in n 2.533 * [taylor]: Taking taylor expansion of n in n 2.542 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.542 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.542 * [taylor]: Taking taylor expansion of +nan.0 in n 2.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.542 * [taylor]: Taking taylor expansion of 0.5 in n 2.542 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.542 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.542 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.542 * [taylor]: Taking taylor expansion of k in n 2.542 * [taylor]: Taking taylor expansion of 1.0 in n 2.542 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.542 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.542 * [taylor]: Taking taylor expansion of -2.0 in n 2.542 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.542 * [taylor]: Taking taylor expansion of PI in n 2.542 * [taylor]: Taking taylor expansion of n in n 2.560 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.561 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.561 * [taylor]: Taking taylor expansion of +nan.0 in n 2.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.561 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.561 * [taylor]: Taking taylor expansion of 0.5 in n 2.561 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.561 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.561 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.561 * [taylor]: Taking taylor expansion of k in n 2.561 * [taylor]: Taking taylor expansion of 1.0 in n 2.561 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.561 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.561 * [taylor]: Taking taylor expansion of -2.0 in n 2.561 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.561 * [taylor]: Taking taylor expansion of PI in n 2.561 * [taylor]: Taking taylor expansion of n in n 2.570 * * * [progress]: simplifying candidates 2.572 * [simplify]: Simplifying using # : (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 (/ 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 (* (* 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))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 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))))) (* 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)))))))))))) 2.596 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 2.675 * * [simplify]: iteration 1 : 974 enodes (cost 2712 ) 2.977 * * [simplify]: iteration 2 : 3438 enodes (cost 2532 ) 3.700 * * [simplify]: iteration done : 5000 enodes (cost 2523 ) 3.702 * [simplify]: Simplified to: (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 (* n PI)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (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 (/ 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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (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))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2)))) (- (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5)) (* (* 0.5 k) (+ (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (* (pow (* 2.0 (* n PI)) 0.5) (log (* 2.0 PI))))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 (pow k 2)) +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))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (fma (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (fma (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (- (fma (* (* (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 (- (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (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 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* (pow (pow (* 2.0 (* n PI)) 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))) 3.703 * * * [progress]: adding candidates to table 4.117 * * [progress]: iteration 2 / 4 4.117 * * * [progress]: picking best candidate 4.151 * * * * [pick]: Picked # 4.151 * * * [progress]: localizing error 4.164 * * * [progress]: generating rewritten candidates 4.164 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 4.173 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 4.180 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.190 * * * [progress]: generating series expansions 4.190 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 4.191 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.191 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.191 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.191 * [taylor]: Taking taylor expansion of 0.5 in k 4.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.191 * [taylor]: Taking taylor expansion of 1.0 in k 4.191 * [taylor]: Taking taylor expansion of k in k 4.191 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.191 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.191 * [taylor]: Taking taylor expansion of 2.0 in k 4.191 * [taylor]: Taking taylor expansion of (* n PI) in k 4.191 * [taylor]: Taking taylor expansion of n in k 4.191 * [taylor]: Taking taylor expansion of PI in k 4.192 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.192 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.192 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.192 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.192 * [taylor]: Taking taylor expansion of 0.5 in n 4.192 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.192 * [taylor]: Taking taylor expansion of 1.0 in n 4.192 * [taylor]: Taking taylor expansion of k in n 4.192 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.192 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.192 * [taylor]: Taking taylor expansion of 2.0 in n 4.192 * [taylor]: Taking taylor expansion of (* n PI) in n 4.192 * [taylor]: Taking taylor expansion of n in n 4.192 * [taylor]: Taking taylor expansion of PI in n 4.198 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.198 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.198 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.198 * [taylor]: Taking taylor expansion of 0.5 in n 4.198 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.198 * [taylor]: Taking taylor expansion of 1.0 in n 4.198 * [taylor]: Taking taylor expansion of k in n 4.198 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.198 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.198 * [taylor]: Taking taylor expansion of 2.0 in n 4.198 * [taylor]: Taking taylor expansion of (* n PI) in n 4.198 * [taylor]: Taking taylor expansion of n in n 4.198 * [taylor]: Taking taylor expansion of PI in n 4.206 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.206 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.207 * [taylor]: Taking taylor expansion of 0.5 in k 4.207 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.207 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.207 * [taylor]: Taking taylor expansion of 1.0 in k 4.207 * [taylor]: Taking taylor expansion of k in k 4.207 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.207 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.207 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.207 * [taylor]: Taking taylor expansion of 2.0 in k 4.207 * [taylor]: Taking taylor expansion of PI in k 4.208 * [taylor]: Taking taylor expansion of (log n) in k 4.208 * [taylor]: Taking taylor expansion of n in k 4.217 * [taylor]: Taking taylor expansion of 0 in k 4.233 * [taylor]: Taking taylor expansion of 0 in k 4.252 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.252 * [taylor]: Taking taylor expansion of 0.5 in k 4.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.252 * [taylor]: Taking taylor expansion of 1.0 in k 4.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.252 * [taylor]: Taking taylor expansion of k in k 4.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.252 * [taylor]: Taking taylor expansion of 2.0 in k 4.252 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.252 * [taylor]: Taking taylor expansion of PI in k 4.252 * [taylor]: Taking taylor expansion of n in k 4.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.254 * [taylor]: Taking taylor expansion of 0.5 in n 4.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.254 * [taylor]: Taking taylor expansion of 1.0 in n 4.254 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.254 * [taylor]: Taking taylor expansion of k in n 4.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.254 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.254 * [taylor]: Taking taylor expansion of 2.0 in n 4.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.254 * [taylor]: Taking taylor expansion of PI in n 4.254 * [taylor]: Taking taylor expansion of n in n 4.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.257 * [taylor]: Taking taylor expansion of 0.5 in n 4.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.257 * [taylor]: Taking taylor expansion of 1.0 in n 4.258 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.258 * [taylor]: Taking taylor expansion of k in n 4.258 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.258 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.258 * [taylor]: Taking taylor expansion of 2.0 in n 4.258 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.258 * [taylor]: Taking taylor expansion of PI in n 4.258 * [taylor]: Taking taylor expansion of n in n 4.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.261 * [taylor]: Taking taylor expansion of 0.5 in k 4.261 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.261 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.262 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.262 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.262 * [taylor]: Taking taylor expansion of 2.0 in k 4.262 * [taylor]: Taking taylor expansion of PI in k 4.263 * [taylor]: Taking taylor expansion of (log n) in k 4.263 * [taylor]: Taking taylor expansion of n in k 4.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.263 * [taylor]: Taking taylor expansion of 1.0 in k 4.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.263 * [taylor]: Taking taylor expansion of k in k 4.272 * [taylor]: Taking taylor expansion of 0 in k 4.280 * [taylor]: Taking taylor expansion of 0 in k 4.293 * [taylor]: Taking taylor expansion of 0 in k 4.294 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.294 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.294 * [taylor]: Taking taylor expansion of 0.5 in k 4.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.294 * [taylor]: Taking taylor expansion of k in k 4.294 * [taylor]: Taking taylor expansion of 1.0 in k 4.295 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.295 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.295 * [taylor]: Taking taylor expansion of -2.0 in k 4.295 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.295 * [taylor]: Taking taylor expansion of PI in k 4.295 * [taylor]: Taking taylor expansion of n in k 4.295 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.295 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.295 * [taylor]: Taking taylor expansion of 0.5 in n 4.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.296 * [taylor]: Taking taylor expansion of k in n 4.296 * [taylor]: Taking taylor expansion of 1.0 in n 4.296 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.296 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.296 * [taylor]: Taking taylor expansion of -2.0 in n 4.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.296 * [taylor]: Taking taylor expansion of PI in n 4.296 * [taylor]: Taking taylor expansion of n in n 4.299 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.299 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.299 * [taylor]: Taking taylor expansion of 0.5 in n 4.299 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.299 * [taylor]: Taking taylor expansion of k in n 4.299 * [taylor]: Taking taylor expansion of 1.0 in n 4.299 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.300 * [taylor]: Taking taylor expansion of -2.0 in n 4.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.300 * [taylor]: Taking taylor expansion of PI in n 4.300 * [taylor]: Taking taylor expansion of n in n 4.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.303 * [taylor]: Taking taylor expansion of 0.5 in k 4.303 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.303 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.303 * [taylor]: Taking taylor expansion of k in k 4.304 * [taylor]: Taking taylor expansion of 1.0 in k 4.304 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.304 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.304 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.304 * [taylor]: Taking taylor expansion of -2.0 in k 4.304 * [taylor]: Taking taylor expansion of PI in k 4.305 * [taylor]: Taking taylor expansion of (log n) in k 4.305 * [taylor]: Taking taylor expansion of n in k 4.314 * [taylor]: Taking taylor expansion of 0 in k 4.321 * [taylor]: Taking taylor expansion of 0 in k 4.330 * [taylor]: Taking taylor expansion of 0 in k 4.330 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 4.331 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.331 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.331 * [taylor]: Taking taylor expansion of 2.0 in n 4.331 * [taylor]: Taking taylor expansion of (* n PI) in n 4.331 * [taylor]: Taking taylor expansion of n in n 4.331 * [taylor]: Taking taylor expansion of PI in n 4.331 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.331 * [taylor]: Taking taylor expansion of 2.0 in n 4.331 * [taylor]: Taking taylor expansion of (* n PI) in n 4.331 * [taylor]: Taking taylor expansion of n in n 4.331 * [taylor]: Taking taylor expansion of PI in n 4.343 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.344 * [taylor]: Taking taylor expansion of 2.0 in n 4.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.344 * [taylor]: Taking taylor expansion of PI in n 4.344 * [taylor]: Taking taylor expansion of n in n 4.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.344 * [taylor]: Taking taylor expansion of 2.0 in n 4.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.344 * [taylor]: Taking taylor expansion of PI in n 4.344 * [taylor]: Taking taylor expansion of n in n 4.353 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 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 4.354 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.354 * [taylor]: Taking taylor expansion of -2.0 in n 4.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.354 * [taylor]: Taking taylor expansion of PI in n 4.354 * [taylor]: Taking taylor expansion of n in n 4.363 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.363 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 4.363 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 4.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.363 * [taylor]: Taking taylor expansion of 0.5 in k 4.363 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.363 * [taylor]: Taking taylor expansion of 1.0 in k 4.363 * [taylor]: Taking taylor expansion of k in k 4.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.363 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.363 * [taylor]: Taking taylor expansion of 2.0 in k 4.363 * [taylor]: Taking taylor expansion of (* n PI) in k 4.363 * [taylor]: Taking taylor expansion of n in k 4.363 * [taylor]: Taking taylor expansion of PI in k 4.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.365 * [taylor]: Taking taylor expansion of k in k 4.366 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.366 * [taylor]: Taking taylor expansion of 0.5 in n 4.366 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.366 * [taylor]: Taking taylor expansion of 1.0 in n 4.366 * [taylor]: Taking taylor expansion of k in n 4.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.366 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.366 * [taylor]: Taking taylor expansion of 2.0 in n 4.366 * [taylor]: Taking taylor expansion of (* n PI) in n 4.366 * [taylor]: Taking taylor expansion of n in n 4.366 * [taylor]: Taking taylor expansion of PI in n 4.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.375 * [taylor]: Taking taylor expansion of k in n 4.375 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.375 * [taylor]: Taking taylor expansion of 0.5 in n 4.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.375 * [taylor]: Taking taylor expansion of 1.0 in n 4.375 * [taylor]: Taking taylor expansion of k in n 4.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.375 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.375 * [taylor]: Taking taylor expansion of 2.0 in n 4.375 * [taylor]: Taking taylor expansion of (* n PI) in n 4.375 * [taylor]: Taking taylor expansion of n in n 4.375 * [taylor]: Taking taylor expansion of PI in n 4.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.380 * [taylor]: Taking taylor expansion of k in n 4.381 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 4.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.382 * [taylor]: Taking taylor expansion of k in k 4.383 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.383 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.383 * [taylor]: Taking taylor expansion of 0.5 in k 4.383 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.383 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.383 * [taylor]: Taking taylor expansion of 1.0 in k 4.383 * [taylor]: Taking taylor expansion of k in k 4.383 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.383 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.383 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.383 * [taylor]: Taking taylor expansion of 2.0 in k 4.383 * [taylor]: Taking taylor expansion of PI in k 4.384 * [taylor]: Taking taylor expansion of (log n) in k 4.384 * [taylor]: Taking taylor expansion of n in k 4.394 * [taylor]: Taking taylor expansion of 0 in k 4.413 * [taylor]: Taking taylor expansion of 0 in k 4.445 * [taylor]: Taking taylor expansion of 0 in k 4.497 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 4.497 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.497 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.497 * [taylor]: Taking taylor expansion of k in k 4.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.498 * [taylor]: Taking taylor expansion of 0.5 in k 4.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.498 * [taylor]: Taking taylor expansion of 1.0 in k 4.498 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.498 * [taylor]: Taking taylor expansion of k in k 4.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.498 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.498 * [taylor]: Taking taylor expansion of 2.0 in k 4.498 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.498 * [taylor]: Taking taylor expansion of PI in k 4.499 * [taylor]: Taking taylor expansion of n in k 4.500 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.500 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.500 * [taylor]: Taking taylor expansion of k in n 4.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.500 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.500 * [taylor]: Taking taylor expansion of 0.5 in n 4.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.500 * [taylor]: Taking taylor expansion of 1.0 in n 4.500 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.500 * [taylor]: Taking taylor expansion of k in n 4.500 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.500 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.500 * [taylor]: Taking taylor expansion of 2.0 in n 4.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.500 * [taylor]: Taking taylor expansion of PI in n 4.500 * [taylor]: Taking taylor expansion of n in n 4.503 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.504 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.504 * [taylor]: Taking taylor expansion of k in n 4.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.504 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.504 * [taylor]: Taking taylor expansion of 0.5 in n 4.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.504 * [taylor]: Taking taylor expansion of 1.0 in n 4.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.504 * [taylor]: Taking taylor expansion of k in n 4.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.504 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.504 * [taylor]: Taking taylor expansion of 2.0 in n 4.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.504 * [taylor]: Taking taylor expansion of PI in n 4.504 * [taylor]: Taking taylor expansion of n in n 4.508 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.508 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.508 * [taylor]: Taking taylor expansion of k in k 4.509 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.510 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.510 * [taylor]: Taking taylor expansion of 0.5 in k 4.510 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.510 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.510 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.510 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.510 * [taylor]: Taking taylor expansion of 2.0 in k 4.510 * [taylor]: Taking taylor expansion of PI in k 4.511 * [taylor]: Taking taylor expansion of (log n) in k 4.511 * [taylor]: Taking taylor expansion of n in k 4.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.511 * [taylor]: Taking taylor expansion of 1.0 in k 4.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.511 * [taylor]: Taking taylor expansion of k in k 4.521 * [taylor]: Taking taylor expansion of 0 in k 4.531 * [taylor]: Taking taylor expansion of 0 in k 4.550 * [taylor]: Taking taylor expansion of 0 in k 4.558 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 4.558 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.559 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.559 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.559 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.559 * [taylor]: Taking taylor expansion of 0.5 in k 4.559 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.559 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.559 * [taylor]: Taking taylor expansion of k in k 4.559 * [taylor]: Taking taylor expansion of 1.0 in k 4.559 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.559 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.559 * [taylor]: Taking taylor expansion of -2.0 in k 4.559 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.559 * [taylor]: Taking taylor expansion of PI in k 4.559 * [taylor]: Taking taylor expansion of n in k 4.560 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.560 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.560 * [taylor]: Taking taylor expansion of -1 in k 4.560 * [taylor]: Taking taylor expansion of k in k 4.561 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.561 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.562 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.562 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.562 * [taylor]: Taking taylor expansion of 0.5 in n 4.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.562 * [taylor]: Taking taylor expansion of k in n 4.562 * [taylor]: Taking taylor expansion of 1.0 in n 4.562 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.562 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.562 * [taylor]: Taking taylor expansion of -2.0 in n 4.562 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.562 * [taylor]: Taking taylor expansion of PI in n 4.562 * [taylor]: Taking taylor expansion of n in n 4.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.566 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.566 * [taylor]: Taking taylor expansion of -1 in n 4.566 * [taylor]: Taking taylor expansion of k in n 4.567 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.567 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.567 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.567 * [taylor]: Taking taylor expansion of 0.5 in n 4.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.567 * [taylor]: Taking taylor expansion of k in n 4.567 * [taylor]: Taking taylor expansion of 1.0 in n 4.567 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.567 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.567 * [taylor]: Taking taylor expansion of -2.0 in n 4.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.567 * [taylor]: Taking taylor expansion of PI in n 4.567 * [taylor]: Taking taylor expansion of n in n 4.571 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.571 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.571 * [taylor]: Taking taylor expansion of -1 in n 4.571 * [taylor]: Taking taylor expansion of k in n 4.572 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 4.572 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.572 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.572 * [taylor]: Taking taylor expansion of 0.5 in k 4.572 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.572 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.572 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.572 * [taylor]: Taking taylor expansion of k in k 4.572 * [taylor]: Taking taylor expansion of 1.0 in k 4.572 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.572 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.572 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.573 * [taylor]: Taking taylor expansion of -2.0 in k 4.573 * [taylor]: Taking taylor expansion of PI in k 4.574 * [taylor]: Taking taylor expansion of (log n) in k 4.574 * [taylor]: Taking taylor expansion of n in k 4.577 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.577 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.577 * [taylor]: Taking taylor expansion of -1 in k 4.577 * [taylor]: Taking taylor expansion of k in k 4.586 * [taylor]: Taking taylor expansion of 0 in k 4.599 * [taylor]: Taking taylor expansion of 0 in k 4.608 * * * [progress]: simplifying candidates 4.610 * [simplify]: Simplifying using # : (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 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (log1p (/ (pow (* (* 2.0 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(* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (fabs (cbrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (- (fma 0.25 (* (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (pow k 2)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (fma (* +nan.0 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (- (fma (* (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (pow k 2)) +nan.0 (- (fma (* +nan.0 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2)) (- (fma (* +nan.0 (pow k 2)) (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log (* 2.0 PI))) (- (* +nan.0 (- (* (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)) (pow k 2)) (pow (* (* 2.0 PI) n) 0.5))) (* (* (pow (* (* 2.0 PI) n) 0.5) (* k (log (* 2.0 PI)))) +nan.0))) (* (* +nan.0 k) (pow (* (* 2.0 PI) n) 0.5)))) (* (* +nan.0 k) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))))) (* (* +nan.0 (pow k 2)) (pow (* (* 2.0 PI) n) 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)))) (* +nan.0 (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (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))) 5.433 * * * [progress]: adding candidates to table 5.737 * * [progress]: iteration 3 / 4 5.737 * * * [progress]: picking best candidate 5.758 * * * * [pick]: Picked # 5.758 * * * [progress]: localizing error 5.776 * * * [progress]: generating rewritten candidates 5.776 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 5.786 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 5.792 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.797 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.827 * * * [progress]: generating series expansions 5.827 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 5.828 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.828 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.828 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.828 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.828 * [taylor]: Taking taylor expansion of 0.5 in k 5.828 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.828 * [taylor]: Taking taylor expansion of 1.0 in k 5.828 * [taylor]: Taking taylor expansion of k in k 5.828 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.828 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.828 * [taylor]: Taking taylor expansion of 2.0 in k 5.828 * [taylor]: Taking taylor expansion of (* n PI) in k 5.828 * [taylor]: Taking taylor expansion of n in k 5.828 * [taylor]: Taking taylor expansion of PI in k 5.829 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.829 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.829 * [taylor]: Taking taylor expansion of 0.5 in n 5.829 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.829 * [taylor]: Taking taylor expansion of 1.0 in n 5.829 * [taylor]: Taking taylor expansion of k in n 5.829 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.829 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.829 * [taylor]: Taking taylor expansion of 2.0 in n 5.829 * [taylor]: Taking taylor expansion of (* n PI) in n 5.829 * [taylor]: Taking taylor expansion of n in n 5.829 * [taylor]: Taking taylor expansion of PI in n 5.835 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.835 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.835 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.835 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.835 * [taylor]: Taking taylor expansion of 0.5 in n 5.835 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.835 * [taylor]: Taking taylor expansion of 1.0 in n 5.835 * [taylor]: Taking taylor expansion of k in n 5.835 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.835 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.835 * [taylor]: Taking taylor expansion of 2.0 in n 5.835 * [taylor]: Taking taylor expansion of (* n PI) in n 5.835 * [taylor]: Taking taylor expansion of n in n 5.835 * [taylor]: Taking taylor expansion of PI in n 5.840 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.840 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.840 * [taylor]: Taking taylor expansion of 0.5 in k 5.841 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.841 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.841 * [taylor]: Taking taylor expansion of 1.0 in k 5.841 * [taylor]: Taking taylor expansion of k in k 5.841 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.841 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.841 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.841 * [taylor]: Taking taylor expansion of 2.0 in k 5.841 * [taylor]: Taking taylor expansion of PI in k 5.842 * [taylor]: Taking taylor expansion of (log n) in k 5.842 * [taylor]: Taking taylor expansion of n in k 5.857 * [taylor]: Taking taylor expansion of 0 in k 5.873 * [taylor]: Taking taylor expansion of 0 in k 5.893 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.893 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.893 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.893 * [taylor]: Taking taylor expansion of 0.5 in k 5.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.893 * [taylor]: Taking taylor expansion of 1.0 in k 5.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.893 * [taylor]: Taking taylor expansion of k in k 5.893 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.893 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.893 * [taylor]: Taking taylor expansion of 2.0 in k 5.893 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.893 * [taylor]: Taking taylor expansion of PI in k 5.893 * [taylor]: Taking taylor expansion of n in k 5.894 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.894 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.894 * [taylor]: Taking taylor expansion of 0.5 in n 5.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.894 * [taylor]: Taking taylor expansion of 1.0 in n 5.894 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.894 * [taylor]: Taking taylor expansion of k in n 5.894 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.895 * [taylor]: Taking taylor expansion of 2.0 in n 5.895 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.895 * [taylor]: Taking taylor expansion of PI in n 5.895 * [taylor]: Taking taylor expansion of n in n 5.898 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.899 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.899 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.899 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.899 * [taylor]: Taking taylor expansion of 0.5 in n 5.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.899 * [taylor]: Taking taylor expansion of 1.0 in n 5.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.899 * [taylor]: Taking taylor expansion of k in n 5.899 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.899 * [taylor]: Taking taylor expansion of 2.0 in n 5.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.899 * [taylor]: Taking taylor expansion of PI in n 5.899 * [taylor]: Taking taylor expansion of n in n 5.902 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.903 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.903 * [taylor]: Taking taylor expansion of 0.5 in k 5.903 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.903 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.903 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.903 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.903 * [taylor]: Taking taylor expansion of 2.0 in k 5.903 * [taylor]: Taking taylor expansion of PI in k 5.904 * [taylor]: Taking taylor expansion of (log n) in k 5.904 * [taylor]: Taking taylor expansion of n in k 5.904 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.904 * [taylor]: Taking taylor expansion of 1.0 in k 5.904 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.904 * [taylor]: Taking taylor expansion of k in k 5.914 * [taylor]: Taking taylor expansion of 0 in k 5.921 * [taylor]: Taking taylor expansion of 0 in k 5.930 * [taylor]: Taking taylor expansion of 0 in k 5.931 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.931 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.931 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.931 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.931 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.931 * [taylor]: Taking taylor expansion of 0.5 in k 5.931 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.931 * [taylor]: Taking taylor expansion of k in k 5.932 * [taylor]: Taking taylor expansion of 1.0 in k 5.932 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.932 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.932 * [taylor]: Taking taylor expansion of -2.0 in k 5.932 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.932 * [taylor]: Taking taylor expansion of PI in k 5.932 * [taylor]: Taking taylor expansion of n in k 5.933 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.933 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.933 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.933 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.933 * [taylor]: Taking taylor expansion of 0.5 in n 5.933 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.933 * [taylor]: Taking taylor expansion of k in n 5.933 * [taylor]: Taking taylor expansion of 1.0 in n 5.933 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.933 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.933 * [taylor]: Taking taylor expansion of -2.0 in n 5.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.933 * [taylor]: Taking taylor expansion of PI in n 5.933 * [taylor]: Taking taylor expansion of n in n 5.943 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.943 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.943 * [taylor]: Taking taylor expansion of 0.5 in n 5.943 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.943 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.943 * [taylor]: Taking taylor expansion of k in n 5.943 * [taylor]: Taking taylor expansion of 1.0 in n 5.943 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.943 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.943 * [taylor]: Taking taylor expansion of -2.0 in n 5.943 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.943 * [taylor]: Taking taylor expansion of PI in n 5.943 * [taylor]: Taking taylor expansion of n in n 5.947 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.947 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.947 * [taylor]: Taking taylor expansion of 0.5 in k 5.947 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.947 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.947 * [taylor]: Taking taylor expansion of k in k 5.948 * [taylor]: Taking taylor expansion of 1.0 in k 5.948 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.948 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.948 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.948 * [taylor]: Taking taylor expansion of -2.0 in k 5.948 * [taylor]: Taking taylor expansion of PI in k 5.949 * [taylor]: Taking taylor expansion of (log n) in k 5.949 * [taylor]: Taking taylor expansion of n in k 5.958 * [taylor]: Taking taylor expansion of 0 in k 5.965 * [taylor]: Taking taylor expansion of 0 in k 5.974 * [taylor]: Taking taylor expansion of 0 in k 5.975 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 5.975 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.976 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.976 * [taylor]: Taking taylor expansion of 2.0 in n 5.976 * [taylor]: Taking taylor expansion of (* n PI) in n 5.976 * [taylor]: Taking taylor expansion of n in n 5.976 * [taylor]: Taking taylor expansion of PI in n 5.976 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.976 * [taylor]: Taking taylor expansion of 2.0 in n 5.976 * [taylor]: Taking taylor expansion of (* n PI) in n 5.976 * [taylor]: Taking taylor expansion of n in n 5.976 * [taylor]: Taking taylor expansion of PI in n 5.988 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.988 * [taylor]: Taking taylor expansion of 2.0 in n 5.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.988 * [taylor]: Taking taylor expansion of PI in n 5.988 * [taylor]: Taking taylor expansion of n in n 5.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.988 * [taylor]: Taking taylor expansion of 2.0 in n 5.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.988 * [taylor]: Taking taylor expansion of PI in n 5.988 * [taylor]: Taking taylor expansion of n in n 5.997 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.997 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.997 * [taylor]: Taking taylor expansion of -2.0 in n 5.997 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.997 * [taylor]: Taking taylor expansion of PI in n 5.997 * [taylor]: Taking taylor expansion of n in n 5.997 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.997 * [taylor]: Taking taylor expansion of -2.0 in n 5.997 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.997 * [taylor]: Taking taylor expansion of PI in n 5.997 * [taylor]: Taking taylor expansion of n in n 6.006 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.006 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 6.006 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 6.006 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.006 * [taylor]: Taking taylor expansion of k in n 6.006 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 6.006 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.007 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.007 * [taylor]: Taking taylor expansion of 0.5 in n 6.007 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.007 * [taylor]: Taking taylor expansion of 1.0 in n 6.007 * [taylor]: Taking taylor expansion of k in n 6.007 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.007 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.007 * [taylor]: Taking taylor expansion of 2.0 in n 6.007 * [taylor]: Taking taylor expansion of (* n PI) in n 6.007 * [taylor]: Taking taylor expansion of n in n 6.007 * [taylor]: Taking taylor expansion of PI in n 6.013 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 6.013 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.013 * [taylor]: Taking taylor expansion of k in k 6.014 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.014 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.014 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.014 * [taylor]: Taking taylor expansion of 0.5 in k 6.014 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.014 * [taylor]: Taking taylor expansion of 1.0 in k 6.014 * [taylor]: Taking taylor expansion of k in k 6.014 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.014 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.014 * [taylor]: Taking taylor expansion of 2.0 in k 6.014 * [taylor]: Taking taylor expansion of (* n PI) in k 6.014 * [taylor]: Taking taylor expansion of n in k 6.014 * [taylor]: Taking taylor expansion of PI in k 6.015 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 6.015 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.015 * [taylor]: Taking taylor expansion of k in k 6.016 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.016 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.016 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.017 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.017 * [taylor]: Taking taylor expansion of 0.5 in k 6.017 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.017 * [taylor]: Taking taylor expansion of 1.0 in k 6.017 * [taylor]: Taking taylor expansion of k in k 6.017 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.017 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.017 * [taylor]: Taking taylor expansion of 2.0 in k 6.017 * [taylor]: Taking taylor expansion of (* n PI) in k 6.017 * [taylor]: Taking taylor expansion of n in k 6.017 * [taylor]: Taking taylor expansion of PI in k 6.019 * [taylor]: Taking taylor expansion of 0 in n 6.031 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 6.031 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.031 * [taylor]: Taking taylor expansion of +nan.0 in n 6.031 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.031 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 6.031 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.031 * [taylor]: Taking taylor expansion of 0.5 in n 6.031 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.031 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.031 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.031 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.031 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.031 * [taylor]: Taking taylor expansion of 1.0 in n 6.031 * [taylor]: Taking taylor expansion of (log PI) in n 6.031 * [taylor]: Taking taylor expansion of PI in n 6.033 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.033 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.033 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.033 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.033 * [taylor]: Taking taylor expansion of 1.0 in n 6.033 * [taylor]: Taking taylor expansion of (log n) in n 6.033 * [taylor]: Taking taylor expansion of n in n 6.034 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.034 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.034 * [taylor]: Taking taylor expansion of 1.0 in n 6.034 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.034 * [taylor]: Taking taylor expansion of 2.0 in n 6.056 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 6.056 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 6.056 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 6.056 * [taylor]: Taking taylor expansion of +nan.0 in n 6.056 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 6.056 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 6.056 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.056 * [taylor]: Taking taylor expansion of 0.5 in n 6.056 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.056 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.056 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.056 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.056 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.056 * [taylor]: Taking taylor expansion of 1.0 in n 6.056 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.056 * [taylor]: Taking taylor expansion of 2.0 in n 6.058 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.058 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.058 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.058 * [taylor]: Taking taylor expansion of 1.0 in n 6.058 * [taylor]: Taking taylor expansion of (log n) in n 6.058 * [taylor]: Taking taylor expansion of n in n 6.059 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.059 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.059 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.059 * [taylor]: Taking taylor expansion of 1.0 in n 6.059 * [taylor]: Taking taylor expansion of (log PI) in n 6.059 * [taylor]: Taking taylor expansion of PI in n 6.065 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 6.065 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 6.065 * [taylor]: Taking taylor expansion of +nan.0 in n 6.065 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.065 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.066 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.066 * [taylor]: Taking taylor expansion of 2.0 in n 6.066 * [taylor]: Taking taylor expansion of (* n PI) in n 6.066 * [taylor]: Taking taylor expansion of n in n 6.066 * [taylor]: Taking taylor expansion of PI in n 6.069 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.069 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 6.069 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.069 * [taylor]: Taking taylor expansion of 0.5 in n 6.069 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.069 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.069 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.069 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.069 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.069 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.069 * [taylor]: Taking taylor expansion of 1.0 in n 6.069 * [taylor]: Taking taylor expansion of (log PI) in n 6.069 * [taylor]: Taking taylor expansion of PI in n 6.071 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.071 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.071 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.071 * [taylor]: Taking taylor expansion of 1.0 in n 6.071 * [taylor]: Taking taylor expansion of (log n) in n 6.071 * [taylor]: Taking taylor expansion of n in n 6.071 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.071 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.071 * [taylor]: Taking taylor expansion of 1.0 in n 6.071 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.072 * [taylor]: Taking taylor expansion of 2.0 in n 6.135 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))) in n 6.136 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) in n 6.136 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.136 * [taylor]: Taking taylor expansion of +nan.0 in n 6.136 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.136 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 6.136 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.136 * [taylor]: Taking taylor expansion of 0.5 in n 6.136 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.136 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.136 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.136 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.136 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.136 * [taylor]: Taking taylor expansion of 1.0 in n 6.136 * [taylor]: Taking taylor expansion of (log PI) in n 6.136 * [taylor]: Taking taylor expansion of PI in n 6.138 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.138 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.138 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.138 * [taylor]: Taking taylor expansion of 1.0 in n 6.138 * [taylor]: Taking taylor expansion of (log n) in n 6.138 * [taylor]: Taking taylor expansion of n in n 6.138 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.138 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.138 * [taylor]: Taking taylor expansion of 1.0 in n 6.138 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.138 * [taylor]: Taking taylor expansion of 2.0 in n 6.145 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n 6.145 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n 6.145 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 6.145 * [taylor]: Taking taylor expansion of +nan.0 in n 6.145 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 6.145 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 6.145 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 6.145 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.145 * [taylor]: Taking taylor expansion of 0.5 in n 6.145 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.145 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.145 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.145 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.145 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.145 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.145 * [taylor]: Taking taylor expansion of 1.0 in n 6.145 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.145 * [taylor]: Taking taylor expansion of 2.0 in n 6.147 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.147 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.147 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.147 * [taylor]: Taking taylor expansion of 1.0 in n 6.147 * [taylor]: Taking taylor expansion of (log PI) in n 6.147 * [taylor]: Taking taylor expansion of PI in n 6.149 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.149 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.149 * [taylor]: Taking taylor expansion of 1.0 in n 6.149 * [taylor]: Taking taylor expansion of (log n) in n 6.149 * [taylor]: Taking taylor expansion of n in n 6.154 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.154 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.155 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.155 * [taylor]: Taking taylor expansion of 2.0 in n 6.155 * [taylor]: Taking taylor expansion of (* n PI) in n 6.155 * [taylor]: Taking taylor expansion of n in n 6.155 * [taylor]: Taking taylor expansion of PI in n 6.159 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 6.159 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 6.159 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 6.159 * [taylor]: Taking taylor expansion of +nan.0 in n 6.159 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.159 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.159 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.159 * [taylor]: Taking taylor expansion of 2.0 in n 6.160 * [taylor]: Taking taylor expansion of (* n PI) in n 6.160 * [taylor]: Taking taylor expansion of n in n 6.160 * [taylor]: Taking taylor expansion of PI in n 6.163 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 6.163 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.163 * [taylor]: Taking taylor expansion of 0.5 in n 6.163 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.163 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.163 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.163 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.163 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.163 * [taylor]: Taking taylor expansion of 1.0 in n 6.163 * [taylor]: Taking taylor expansion of (log PI) in n 6.163 * [taylor]: Taking taylor expansion of PI in n 6.165 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.165 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.165 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.165 * [taylor]: Taking taylor expansion of 1.0 in n 6.165 * [taylor]: Taking taylor expansion of (log n) in n 6.165 * [taylor]: Taking taylor expansion of n in n 6.165 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.165 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.165 * [taylor]: Taking taylor expansion of 1.0 in n 6.165 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.166 * [taylor]: Taking taylor expansion of 2.0 in n 6.172 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 6.172 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 6.172 * [taylor]: Taking taylor expansion of +nan.0 in n 6.172 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.172 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.172 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.172 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.172 * [taylor]: Taking taylor expansion of 2.0 in n 6.172 * [taylor]: Taking taylor expansion of (* n PI) in n 6.172 * [taylor]: Taking taylor expansion of n in n 6.172 * [taylor]: Taking taylor expansion of PI in n 6.176 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.177 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 6.177 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.177 * [taylor]: Taking taylor expansion of 0.5 in n 6.177 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.177 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.177 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.177 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.177 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.177 * [taylor]: Taking taylor expansion of 1.0 in n 6.177 * [taylor]: Taking taylor expansion of (log PI) in n 6.177 * [taylor]: Taking taylor expansion of PI in n 6.179 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.179 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.179 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.179 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.179 * [taylor]: Taking taylor expansion of 1.0 in n 6.179 * [taylor]: Taking taylor expansion of (log n) in n 6.179 * [taylor]: Taking taylor expansion of n in n 6.179 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.179 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.179 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.179 * [taylor]: Taking taylor expansion of 1.0 in n 6.180 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.180 * [taylor]: Taking taylor expansion of 2.0 in n 6.313 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 6.313 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.313 * [taylor]: Taking taylor expansion of k in n 6.313 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.314 * [taylor]: Taking taylor expansion of 0.5 in n 6.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.314 * [taylor]: Taking taylor expansion of 1.0 in n 6.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.314 * [taylor]: Taking taylor expansion of k in n 6.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.314 * [taylor]: Taking taylor expansion of 2.0 in n 6.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.314 * [taylor]: Taking taylor expansion of PI in n 6.314 * [taylor]: Taking taylor expansion of n in n 6.319 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.319 * [taylor]: Taking taylor expansion of k in k 6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.320 * [taylor]: Taking taylor expansion of 0.5 in k 6.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.320 * [taylor]: Taking taylor expansion of 1.0 in k 6.320 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.320 * [taylor]: Taking taylor expansion of k in k 6.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.321 * [taylor]: Taking taylor expansion of 2.0 in k 6.321 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.321 * [taylor]: Taking taylor expansion of PI in k 6.321 * [taylor]: Taking taylor expansion of n in k 6.322 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.322 * [taylor]: Taking taylor expansion of k in k 6.323 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.323 * [taylor]: Taking taylor expansion of 0.5 in k 6.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.323 * [taylor]: Taking taylor expansion of 1.0 in k 6.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.323 * [taylor]: Taking taylor expansion of k in k 6.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.323 * [taylor]: Taking taylor expansion of 2.0 in k 6.324 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.324 * [taylor]: Taking taylor expansion of PI in k 6.324 * [taylor]: Taking taylor expansion of n in k 6.325 * [taylor]: Taking taylor expansion of 0 in n 6.326 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.326 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.326 * [taylor]: Taking taylor expansion of +nan.0 in n 6.326 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.326 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.326 * [taylor]: Taking taylor expansion of 0.5 in n 6.326 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.326 * [taylor]: Taking taylor expansion of 2.0 in n 6.326 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.326 * [taylor]: Taking taylor expansion of PI in n 6.326 * [taylor]: Taking taylor expansion of n in n 6.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.327 * [taylor]: Taking taylor expansion of 1.0 in n 6.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.327 * [taylor]: Taking taylor expansion of k in n 6.337 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.337 * [taylor]: Taking taylor expansion of +nan.0 in n 6.337 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.337 * [taylor]: Taking taylor expansion of 0.5 in n 6.337 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.337 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.337 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.337 * [taylor]: Taking taylor expansion of 2.0 in n 6.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.337 * [taylor]: Taking taylor expansion of PI in n 6.337 * [taylor]: Taking taylor expansion of n in n 6.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.339 * [taylor]: Taking taylor expansion of 1.0 in n 6.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.339 * [taylor]: Taking taylor expansion of k in n 6.358 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.358 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.358 * [taylor]: Taking taylor expansion of +nan.0 in n 6.358 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.358 * [taylor]: Taking taylor expansion of 0.5 in n 6.358 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.358 * [taylor]: Taking taylor expansion of 2.0 in n 6.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.358 * [taylor]: Taking taylor expansion of PI in n 6.358 * [taylor]: Taking taylor expansion of n in n 6.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.359 * [taylor]: Taking taylor expansion of 1.0 in n 6.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.359 * [taylor]: Taking taylor expansion of k in n 6.369 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 6.369 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 6.369 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.369 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.369 * [taylor]: Taking taylor expansion of -1 in n 6.369 * [taylor]: Taking taylor expansion of k in n 6.369 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.369 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.369 * [taylor]: Taking taylor expansion of 0.5 in n 6.369 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.369 * [taylor]: Taking taylor expansion of k in n 6.369 * [taylor]: Taking taylor expansion of 1.0 in n 6.369 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.369 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.369 * [taylor]: Taking taylor expansion of -2.0 in n 6.369 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.369 * [taylor]: Taking taylor expansion of PI in n 6.369 * [taylor]: Taking taylor expansion of n in n 6.374 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.374 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.374 * [taylor]: Taking taylor expansion of -1 in k 6.374 * [taylor]: Taking taylor expansion of k in k 6.375 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.375 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.375 * [taylor]: Taking taylor expansion of 0.5 in k 6.375 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.375 * [taylor]: Taking taylor expansion of k in k 6.375 * [taylor]: Taking taylor expansion of 1.0 in k 6.375 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.375 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.375 * [taylor]: Taking taylor expansion of -2.0 in k 6.375 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.375 * [taylor]: Taking taylor expansion of PI in k 6.375 * [taylor]: Taking taylor expansion of n in k 6.377 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.377 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.377 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.377 * [taylor]: Taking taylor expansion of -1 in k 6.377 * [taylor]: Taking taylor expansion of k in k 6.378 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.378 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.378 * [taylor]: Taking taylor expansion of 0.5 in k 6.378 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.378 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.378 * [taylor]: Taking taylor expansion of k in k 6.378 * [taylor]: Taking taylor expansion of 1.0 in k 6.378 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.378 * [taylor]: Taking taylor expansion of -2.0 in k 6.378 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.378 * [taylor]: Taking taylor expansion of PI in k 6.378 * [taylor]: Taking taylor expansion of n in k 6.379 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.379 * [taylor]: Taking taylor expansion of +nan.0 in n 6.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.380 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.380 * [taylor]: Taking taylor expansion of 0.5 in n 6.380 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.380 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.380 * [taylor]: Taking taylor expansion of k in n 6.380 * [taylor]: Taking taylor expansion of 1.0 in n 6.380 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.380 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.380 * [taylor]: Taking taylor expansion of -2.0 in n 6.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.380 * [taylor]: Taking taylor expansion of PI in n 6.380 * [taylor]: Taking taylor expansion of n in n 6.393 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 6.393 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.393 * [taylor]: Taking taylor expansion of +nan.0 in n 6.393 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.393 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.393 * [taylor]: Taking taylor expansion of 0.5 in n 6.393 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.394 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.394 * [taylor]: Taking taylor expansion of k in n 6.394 * [taylor]: Taking taylor expansion of 1.0 in n 6.394 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.394 * [taylor]: Taking taylor expansion of -2.0 in n 6.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.394 * [taylor]: Taking taylor expansion of PI in n 6.394 * [taylor]: Taking taylor expansion of n in n 6.413 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 6.413 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.413 * [taylor]: Taking taylor expansion of +nan.0 in n 6.413 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.413 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.413 * [taylor]: Taking taylor expansion of 0.5 in n 6.413 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.413 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.413 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.413 * [taylor]: Taking taylor expansion of k in n 6.413 * [taylor]: Taking taylor expansion of 1.0 in n 6.413 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.413 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.413 * [taylor]: Taking taylor expansion of -2.0 in n 6.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.413 * [taylor]: Taking taylor expansion of PI in n 6.413 * [taylor]: Taking taylor expansion of n in n 6.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.424 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in (k n) around 0 6.424 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 6.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.424 * [taylor]: Taking taylor expansion of k in n 6.424 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.424 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.424 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.424 * [taylor]: Taking taylor expansion of 0.5 in n 6.424 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.424 * [taylor]: Taking taylor expansion of 1.0 in n 6.424 * [taylor]: Taking taylor expansion of k in n 6.424 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.424 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.424 * [taylor]: Taking taylor expansion of 2.0 in n 6.424 * [taylor]: Taking taylor expansion of (* n PI) in n 6.424 * [taylor]: Taking taylor expansion of n in n 6.424 * [taylor]: Taking taylor expansion of PI in n 6.430 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.430 * [taylor]: Taking taylor expansion of k in k 6.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.431 * [taylor]: Taking taylor expansion of 0.5 in k 6.431 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.431 * [taylor]: Taking taylor expansion of 1.0 in k 6.431 * [taylor]: Taking taylor expansion of k in k 6.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.431 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.431 * [taylor]: Taking taylor expansion of 2.0 in k 6.431 * [taylor]: Taking taylor expansion of (* n PI) in k 6.431 * [taylor]: Taking taylor expansion of n in k 6.431 * [taylor]: Taking taylor expansion of PI in k 6.432 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.432 * [taylor]: Taking taylor expansion of k in k 6.434 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.434 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.434 * [taylor]: Taking taylor expansion of 0.5 in k 6.434 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.434 * [taylor]: Taking taylor expansion of 1.0 in k 6.434 * [taylor]: Taking taylor expansion of k in k 6.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.434 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.434 * [taylor]: Taking taylor expansion of 2.0 in k 6.434 * [taylor]: Taking taylor expansion of (* n PI) in k 6.434 * [taylor]: Taking taylor expansion of n in k 6.434 * [taylor]: Taking taylor expansion of PI in k 6.435 * [taylor]: Taking taylor expansion of 0 in n 6.439 * [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 6.439 * [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 6.439 * [taylor]: Taking taylor expansion of +nan.0 in n 6.439 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 6.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.439 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.439 * [taylor]: Taking taylor expansion of 0.5 in n 6.439 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.439 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.439 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.440 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.440 * [taylor]: Taking taylor expansion of 1.0 in n 6.440 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.440 * [taylor]: Taking taylor expansion of 2.0 in n 6.441 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.441 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.442 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.442 * [taylor]: Taking taylor expansion of 1.0 in n 6.442 * [taylor]: Taking taylor expansion of (log n) in n 6.442 * [taylor]: Taking taylor expansion of n in n 6.442 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.442 * [taylor]: Taking taylor expansion of 1.0 in n 6.442 * [taylor]: Taking taylor expansion of (log PI) in n 6.442 * [taylor]: Taking taylor expansion of PI in n 6.458 * [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 6.458 * [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 6.458 * [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 6.458 * [taylor]: Taking taylor expansion of +nan.0 in n 6.459 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.459 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.459 * [taylor]: Taking taylor expansion of 0.5 in n 6.459 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.459 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.459 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.459 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.459 * [taylor]: Taking taylor expansion of 1.0 in n 6.459 * [taylor]: Taking taylor expansion of (log PI) in n 6.459 * [taylor]: Taking taylor expansion of PI in n 6.461 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.461 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.461 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.461 * [taylor]: Taking taylor expansion of 1.0 in n 6.461 * [taylor]: Taking taylor expansion of (log n) in n 6.461 * [taylor]: Taking taylor expansion of n in n 6.461 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.461 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.461 * [taylor]: Taking taylor expansion of 1.0 in n 6.461 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.461 * [taylor]: Taking taylor expansion of 2.0 in n 6.467 * [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 6.467 * [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 6.467 * [taylor]: Taking taylor expansion of +nan.0 in n 6.467 * [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 6.467 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.467 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.467 * [taylor]: Taking taylor expansion of 0.5 in n 6.467 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.467 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.467 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.467 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.467 * [taylor]: Taking taylor expansion of 1.0 in n 6.467 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.467 * [taylor]: Taking taylor expansion of 2.0 in n 6.469 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.469 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.469 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.469 * [taylor]: Taking taylor expansion of 1.0 in n 6.469 * [taylor]: Taking taylor expansion of (log PI) in n 6.469 * [taylor]: Taking taylor expansion of PI in n 6.471 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.471 * [taylor]: Taking taylor expansion of 1.0 in n 6.471 * [taylor]: Taking taylor expansion of (log n) in n 6.471 * [taylor]: Taking taylor expansion of n in n 6.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.480 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.480 * [taylor]: Taking taylor expansion of 2.0 in n 6.480 * [taylor]: Taking taylor expansion of (* n PI) in n 6.480 * [taylor]: Taking taylor expansion of n in n 6.480 * [taylor]: Taking taylor expansion of PI in n 6.524 * [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 6.524 * [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 6.524 * [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 6.524 * [taylor]: Taking taylor expansion of +nan.0 in n 6.524 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 6.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.524 * [taylor]: Taking taylor expansion of 0.5 in n 6.524 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.524 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.524 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.524 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.524 * [taylor]: Taking taylor expansion of 1.0 in n 6.524 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.524 * [taylor]: Taking taylor expansion of 2.0 in n 6.526 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.526 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.526 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.526 * [taylor]: Taking taylor expansion of 1.0 in n 6.526 * [taylor]: Taking taylor expansion of (log n) in n 6.526 * [taylor]: Taking taylor expansion of n in n 6.527 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.527 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.527 * [taylor]: Taking taylor expansion of 1.0 in n 6.527 * [taylor]: Taking taylor expansion of (log PI) in n 6.527 * [taylor]: Taking taylor expansion of PI in n 6.532 * [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 6.532 * [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 6.532 * [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 6.532 * [taylor]: Taking taylor expansion of +nan.0 in n 6.532 * [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 6.532 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.532 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.532 * [taylor]: Taking taylor expansion of 0.5 in n 6.532 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.532 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.532 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.532 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.532 * [taylor]: Taking taylor expansion of 1.0 in n 6.532 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.532 * [taylor]: Taking taylor expansion of 2.0 in n 6.534 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.534 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.534 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.534 * [taylor]: Taking taylor expansion of 1.0 in n 6.534 * [taylor]: Taking taylor expansion of (log PI) in n 6.534 * [taylor]: Taking taylor expansion of PI in n 6.536 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.536 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.536 * [taylor]: Taking taylor expansion of 1.0 in n 6.536 * [taylor]: Taking taylor expansion of (log n) in n 6.536 * [taylor]: Taking taylor expansion of n in n 6.540 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.540 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.540 * [taylor]: Taking taylor expansion of 2.0 in n 6.541 * [taylor]: Taking taylor expansion of (* n PI) in n 6.541 * [taylor]: Taking taylor expansion of n in n 6.541 * [taylor]: Taking taylor expansion of PI in n 6.544 * [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 6.544 * [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 6.544 * [taylor]: Taking taylor expansion of +nan.0 in n 6.544 * [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 6.544 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.544 * [taylor]: Taking taylor expansion of 0.5 in n 6.544 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.544 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.544 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.544 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.544 * [taylor]: Taking taylor expansion of 1.0 in n 6.544 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.544 * [taylor]: Taking taylor expansion of 2.0 in n 6.546 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.546 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.546 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.546 * [taylor]: Taking taylor expansion of 1.0 in n 6.546 * [taylor]: Taking taylor expansion of (log PI) in n 6.546 * [taylor]: Taking taylor expansion of PI in n 6.548 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.548 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.548 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.548 * [taylor]: Taking taylor expansion of 1.0 in n 6.548 * [taylor]: Taking taylor expansion of (log n) in n 6.548 * [taylor]: Taking taylor expansion of n in n 6.552 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.552 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.552 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.552 * [taylor]: Taking taylor expansion of 2.0 in n 6.552 * [taylor]: Taking taylor expansion of (* n PI) in n 6.552 * [taylor]: Taking taylor expansion of n in n 6.552 * [taylor]: Taking taylor expansion of PI in n 6.646 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 6.647 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.647 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.647 * [taylor]: Taking taylor expansion of k in n 6.647 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.647 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.647 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.647 * [taylor]: Taking taylor expansion of 0.5 in n 6.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.647 * [taylor]: Taking taylor expansion of 1.0 in n 6.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.647 * [taylor]: Taking taylor expansion of k in n 6.647 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.647 * [taylor]: Taking taylor expansion of 2.0 in n 6.647 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.647 * [taylor]: Taking taylor expansion of PI in n 6.647 * [taylor]: Taking taylor expansion of n in n 6.651 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.651 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.651 * [taylor]: Taking taylor expansion of k in k 6.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.652 * [taylor]: Taking taylor expansion of 0.5 in k 6.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.652 * [taylor]: Taking taylor expansion of 1.0 in k 6.652 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.652 * [taylor]: Taking taylor expansion of k in k 6.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.652 * [taylor]: Taking taylor expansion of 2.0 in k 6.652 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.652 * [taylor]: Taking taylor expansion of PI in k 6.652 * [taylor]: Taking taylor expansion of n in k 6.653 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.653 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.653 * [taylor]: Taking taylor expansion of k in k 6.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.654 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.654 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.654 * [taylor]: Taking taylor expansion of 0.5 in k 6.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.654 * [taylor]: Taking taylor expansion of 1.0 in k 6.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.654 * [taylor]: Taking taylor expansion of k in k 6.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.655 * [taylor]: Taking taylor expansion of 2.0 in k 6.655 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.655 * [taylor]: Taking taylor expansion of PI in k 6.655 * [taylor]: Taking taylor expansion of n in k 6.656 * [taylor]: Taking taylor expansion of 0 in n 6.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.656 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.656 * [taylor]: Taking taylor expansion of +nan.0 in n 6.657 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.657 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.657 * [taylor]: Taking taylor expansion of 0.5 in n 6.657 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.657 * [taylor]: Taking taylor expansion of 2.0 in n 6.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.657 * [taylor]: Taking taylor expansion of PI in n 6.657 * [taylor]: Taking taylor expansion of n in n 6.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.658 * [taylor]: Taking taylor expansion of 1.0 in n 6.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.658 * [taylor]: Taking taylor expansion of k in n 6.666 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.666 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.666 * [taylor]: Taking taylor expansion of +nan.0 in n 6.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.666 * [taylor]: Taking taylor expansion of 0.5 in n 6.666 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.666 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.666 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.666 * [taylor]: Taking taylor expansion of 2.0 in n 6.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.666 * [taylor]: Taking taylor expansion of PI in n 6.666 * [taylor]: Taking taylor expansion of n in n 6.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.667 * [taylor]: Taking taylor expansion of 1.0 in n 6.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.667 * [taylor]: Taking taylor expansion of k in n 6.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.688 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.688 * [taylor]: Taking taylor expansion of +nan.0 in n 6.689 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.689 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.689 * [taylor]: Taking taylor expansion of 0.5 in n 6.689 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.689 * [taylor]: Taking taylor expansion of 2.0 in n 6.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.689 * [taylor]: Taking taylor expansion of PI in n 6.689 * [taylor]: Taking taylor expansion of n in n 6.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.690 * [taylor]: Taking taylor expansion of 1.0 in n 6.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.690 * [taylor]: Taking taylor expansion of k in n 6.699 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (k n) around 0 6.699 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 6.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.699 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.699 * [taylor]: Taking taylor expansion of 0.5 in n 6.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.699 * [taylor]: Taking taylor expansion of k in n 6.699 * [taylor]: Taking taylor expansion of 1.0 in n 6.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.699 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.699 * [taylor]: Taking taylor expansion of -2.0 in n 6.699 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.699 * [taylor]: Taking taylor expansion of PI in n 6.699 * [taylor]: Taking taylor expansion of n in n 6.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.703 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.703 * [taylor]: Taking taylor expansion of -1 in n 6.703 * [taylor]: Taking taylor expansion of k in n 6.704 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.704 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.704 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.704 * [taylor]: Taking taylor expansion of 0.5 in k 6.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.704 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.704 * [taylor]: Taking taylor expansion of k in k 6.704 * [taylor]: Taking taylor expansion of 1.0 in k 6.704 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.704 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.704 * [taylor]: Taking taylor expansion of -2.0 in k 6.704 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.704 * [taylor]: Taking taylor expansion of PI in k 6.704 * [taylor]: Taking taylor expansion of n in k 6.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.705 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.705 * [taylor]: Taking taylor expansion of -1 in k 6.705 * [taylor]: Taking taylor expansion of k in k 6.707 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.707 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.707 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.707 * [taylor]: Taking taylor expansion of 0.5 in k 6.707 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.707 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.707 * [taylor]: Taking taylor expansion of k in k 6.707 * [taylor]: Taking taylor expansion of 1.0 in k 6.707 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.707 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.707 * [taylor]: Taking taylor expansion of -2.0 in k 6.707 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.707 * [taylor]: Taking taylor expansion of PI in k 6.707 * [taylor]: Taking taylor expansion of n in k 6.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.708 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.708 * [taylor]: Taking taylor expansion of -1 in k 6.708 * [taylor]: Taking taylor expansion of k in k 6.710 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.710 * [taylor]: Taking taylor expansion of +nan.0 in n 6.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.710 * [taylor]: Taking taylor expansion of 0.5 in n 6.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.710 * [taylor]: Taking taylor expansion of k in n 6.710 * [taylor]: Taking taylor expansion of 1.0 in n 6.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.710 * [taylor]: Taking taylor expansion of -2.0 in n 6.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.710 * [taylor]: Taking taylor expansion of PI in n 6.710 * [taylor]: Taking taylor expansion of n in n 6.719 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.719 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.719 * [taylor]: Taking taylor expansion of +nan.0 in n 6.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.719 * [taylor]: Taking taylor expansion of 0.5 in n 6.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.719 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.719 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.719 * [taylor]: Taking taylor expansion of k in n 6.719 * [taylor]: Taking taylor expansion of 1.0 in n 6.719 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.719 * [taylor]: Taking taylor expansion of -2.0 in n 6.719 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.719 * [taylor]: Taking taylor expansion of PI in n 6.719 * [taylor]: Taking taylor expansion of n in n 6.736 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.736 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.737 * [taylor]: Taking taylor expansion of +nan.0 in n 6.737 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.737 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.737 * [taylor]: Taking taylor expansion of 0.5 in n 6.737 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.737 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.737 * [taylor]: Taking taylor expansion of k in n 6.737 * [taylor]: Taking taylor expansion of 1.0 in n 6.737 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.737 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.737 * [taylor]: Taking taylor expansion of -2.0 in n 6.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.737 * [taylor]: Taking taylor expansion of PI in n 6.737 * [taylor]: Taking taylor expansion of n in n 6.747 * * * [progress]: simplifying candidates 6.752 * [simplify]: Simplifying using # : (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 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt 1) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 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k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log1p (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- 1) (- (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- 0 (- 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k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (fabs (cbrt k))) (/ (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (fabs (cbrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 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)))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) 1 (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 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)))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) 1 (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) 1 (/ 1 (sqrt k)) (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt k)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (log (* (* 2.0 PI) n))))) (* (pow (log n) 2) (exp (* 0.5 (log (* (* 2.0 PI) n))))))) (- (fma 0.25 (* (pow k 2) (* (* (exp (* 0.5 (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (log n))) (exp (* 0.5 (log (* (* 2.0 PI) n))))) (* (* 0.5 k) (+ (* (log n) (exp (* 0.5 (log (* (* 2.0 PI) n))))) (* (exp (* 0.5 (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))))))) (exp (* 0.5 (* (log (* (* 2.0 PI) 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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (+ (- (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (- (* +nan.0 (* (pow k 2) (log n))) (* +nan.0 (* (pow k 3) (* (log (* 2.0 PI)) (log n))))))))))))) (+ (- (/ (/ +nan.0 (exp (* 0.5 (* (log (* (* 2.0 PI) n)) (- 1.0 k))))) (pow k 2)) (/ +nan.0 (exp (* 0.5 (* (log (* (* 2.0 PI) n)) (- 1.0 k)))))) (/ (- +nan.0) (* (exp (* 0.5 (* (log (* (* 2.0 PI) n)) (- 1.0 k)))) k))) (+ (- (/ +nan.0 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (/ +nan.0 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (/ (- +nan.0) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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)))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 (* k (log (* 2.0 PI)))))))))))) (+ (/ (- (* (exp (* 0.5 (* (log (* (* 2.0 PI) n)) (- 1.0 k)))) +nan.0)) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (log (* (* 2.0 PI) n)) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (log (* (* 2.0 PI) n)) (- 1.0 k)))) (pow k 2))))) (+ (* +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)))) 7.644 * * * [progress]: adding candidates to table 8.219 * * [progress]: iteration 4 / 4 8.219 * * * [progress]: picking best candidate 8.240 * * * * [pick]: Picked # 8.240 * * * [progress]: localizing error 8.259 * * * [progress]: generating rewritten candidates 8.259 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 8.268 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 8.275 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 8.279 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 8.547 * * * [progress]: generating series expansions 8.548 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 8.548 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.548 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.548 * [taylor]: Taking taylor expansion of 0.5 in k 8.548 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.548 * [taylor]: Taking taylor expansion of 1.0 in k 8.549 * [taylor]: Taking taylor expansion of k in k 8.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.549 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.549 * [taylor]: Taking taylor expansion of 2.0 in k 8.549 * [taylor]: Taking taylor expansion of (* n PI) in k 8.549 * [taylor]: Taking taylor expansion of n in k 8.549 * [taylor]: Taking taylor expansion of PI in k 8.550 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.550 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.550 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.550 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.550 * [taylor]: Taking taylor expansion of 0.5 in n 8.550 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.550 * [taylor]: Taking taylor expansion of 1.0 in n 8.550 * [taylor]: Taking taylor expansion of k in n 8.550 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.550 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.550 * [taylor]: Taking taylor expansion of 2.0 in n 8.550 * [taylor]: Taking taylor expansion of (* n PI) in n 8.550 * [taylor]: Taking taylor expansion of n in n 8.550 * [taylor]: Taking taylor expansion of PI in n 8.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.555 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.555 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.555 * [taylor]: Taking taylor expansion of 0.5 in n 8.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.556 * [taylor]: Taking taylor expansion of 1.0 in n 8.556 * [taylor]: Taking taylor expansion of k in n 8.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.556 * [taylor]: Taking taylor expansion of 2.0 in n 8.556 * [taylor]: Taking taylor expansion of (* n PI) in n 8.556 * [taylor]: Taking taylor expansion of n in n 8.556 * [taylor]: Taking taylor expansion of PI in n 8.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.561 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.561 * [taylor]: Taking taylor expansion of 0.5 in k 8.561 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.561 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.561 * [taylor]: Taking taylor expansion of 1.0 in k 8.561 * [taylor]: Taking taylor expansion of k in k 8.561 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.561 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.561 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.561 * [taylor]: Taking taylor expansion of 2.0 in k 8.561 * [taylor]: Taking taylor expansion of PI in k 8.562 * [taylor]: Taking taylor expansion of (log n) in k 8.562 * [taylor]: Taking taylor expansion of n in k 8.572 * [taylor]: Taking taylor expansion of 0 in k 8.595 * [taylor]: Taking taylor expansion of 0 in k 8.614 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.614 * [taylor]: Taking taylor expansion of 0.5 in k 8.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.614 * [taylor]: Taking taylor expansion of 1.0 in k 8.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.614 * [taylor]: Taking taylor expansion of k in k 8.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.614 * [taylor]: Taking taylor expansion of 2.0 in k 8.614 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.614 * [taylor]: Taking taylor expansion of PI in k 8.614 * [taylor]: Taking taylor expansion of n in k 8.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.616 * [taylor]: Taking taylor expansion of 0.5 in n 8.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.616 * [taylor]: Taking taylor expansion of 1.0 in n 8.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.616 * [taylor]: Taking taylor expansion of k in n 8.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.616 * [taylor]: Taking taylor expansion of 2.0 in n 8.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.616 * [taylor]: Taking taylor expansion of PI in n 8.616 * [taylor]: Taking taylor expansion of n in n 8.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.619 * [taylor]: Taking taylor expansion of 0.5 in n 8.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.620 * [taylor]: Taking taylor expansion of 1.0 in n 8.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.620 * [taylor]: Taking taylor expansion of k in n 8.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.620 * [taylor]: Taking taylor expansion of 2.0 in n 8.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.620 * [taylor]: Taking taylor expansion of PI in n 8.620 * [taylor]: Taking taylor expansion of n in n 8.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.623 * [taylor]: Taking taylor expansion of 0.5 in k 8.623 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.623 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.624 * [taylor]: Taking taylor expansion of 2.0 in k 8.624 * [taylor]: Taking taylor expansion of PI in k 8.624 * [taylor]: Taking taylor expansion of (log n) in k 8.624 * [taylor]: Taking taylor expansion of n in k 8.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.625 * [taylor]: Taking taylor expansion of 1.0 in k 8.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.625 * [taylor]: Taking taylor expansion of k in k 8.634 * [taylor]: Taking taylor expansion of 0 in k 8.641 * [taylor]: Taking taylor expansion of 0 in k 8.650 * [taylor]: Taking taylor expansion of 0 in k 8.652 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.652 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.652 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.652 * [taylor]: Taking taylor expansion of 0.5 in k 8.652 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.652 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.652 * [taylor]: Taking taylor expansion of k in k 8.652 * [taylor]: Taking taylor expansion of 1.0 in k 8.652 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.652 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.652 * [taylor]: Taking taylor expansion of -2.0 in k 8.652 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.652 * [taylor]: Taking taylor expansion of PI in k 8.652 * [taylor]: Taking taylor expansion of n in k 8.653 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.653 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.653 * [taylor]: Taking taylor expansion of 0.5 in n 8.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.653 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.653 * [taylor]: Taking taylor expansion of k in n 8.653 * [taylor]: Taking taylor expansion of 1.0 in n 8.653 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.653 * [taylor]: Taking taylor expansion of -2.0 in n 8.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.653 * [taylor]: Taking taylor expansion of PI in n 8.653 * [taylor]: Taking taylor expansion of n in n 8.657 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.657 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.657 * [taylor]: Taking taylor expansion of 0.5 in n 8.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.657 * [taylor]: Taking taylor expansion of k in n 8.657 * [taylor]: Taking taylor expansion of 1.0 in n 8.657 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.657 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.657 * [taylor]: Taking taylor expansion of -2.0 in n 8.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.657 * [taylor]: Taking taylor expansion of PI in n 8.657 * [taylor]: Taking taylor expansion of n in n 8.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.661 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.661 * [taylor]: Taking taylor expansion of 0.5 in k 8.661 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.661 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.661 * [taylor]: Taking taylor expansion of k in k 8.662 * [taylor]: Taking taylor expansion of 1.0 in k 8.662 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.662 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.662 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.662 * [taylor]: Taking taylor expansion of -2.0 in k 8.662 * [taylor]: Taking taylor expansion of PI in k 8.663 * [taylor]: Taking taylor expansion of (log n) in k 8.663 * [taylor]: Taking taylor expansion of n in k 8.675 * [taylor]: Taking taylor expansion of 0 in k 8.682 * [taylor]: Taking taylor expansion of 0 in k 8.691 * [taylor]: Taking taylor expansion of 0 in k 8.692 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 8.692 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.692 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.692 * [taylor]: Taking taylor expansion of 2.0 in n 8.692 * [taylor]: Taking taylor expansion of (* n PI) in n 8.692 * [taylor]: Taking taylor expansion of n in n 8.692 * [taylor]: Taking taylor expansion of PI in n 8.692 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.692 * [taylor]: Taking taylor expansion of 2.0 in n 8.692 * [taylor]: Taking taylor expansion of (* n PI) in n 8.693 * [taylor]: Taking taylor expansion of n in n 8.693 * [taylor]: Taking taylor expansion of PI in n 8.705 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.705 * [taylor]: Taking taylor expansion of 2.0 in n 8.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.705 * [taylor]: Taking taylor expansion of PI in n 8.705 * [taylor]: Taking taylor expansion of n in n 8.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.705 * [taylor]: Taking taylor expansion of 2.0 in n 8.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.705 * [taylor]: Taking taylor expansion of PI in n 8.705 * [taylor]: Taking taylor expansion of n in n 8.714 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.714 * [taylor]: Taking taylor expansion of -2.0 in n 8.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.714 * [taylor]: Taking taylor expansion of PI in n 8.714 * [taylor]: Taking taylor expansion of n in n 8.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.715 * [taylor]: Taking taylor expansion of -2.0 in n 8.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.715 * [taylor]: Taking taylor expansion of PI in n 8.715 * [taylor]: Taking taylor expansion of n in n 8.724 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 8.724 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 8.724 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.724 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.724 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.724 * [taylor]: Taking taylor expansion of 1/4 in k 8.724 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.724 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.724 * [taylor]: Taking taylor expansion of k in k 8.725 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.725 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.725 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.725 * [taylor]: Taking taylor expansion of 1/4 in k 8.725 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.725 * [taylor]: Taking taylor expansion of k in k 8.781 * [approximate]: Taking taylor expansion of (pow k 1/4) in (k) around 0 8.781 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.781 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.781 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.781 * [taylor]: Taking taylor expansion of 1/4 in k 8.781 * [taylor]: Taking taylor expansion of (log k) in k 8.781 * [taylor]: Taking taylor expansion of k in k 8.782 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.782 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.782 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.782 * [taylor]: Taking taylor expansion of 1/4 in k 8.782 * [taylor]: Taking taylor expansion of (log k) in k 8.782 * [taylor]: Taking taylor expansion of k in k 8.835 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in (k) around 0 8.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.835 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.835 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.835 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.835 * [taylor]: Taking taylor expansion of -1 in k 8.835 * [taylor]: Taking taylor expansion of k in k 8.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.842 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.842 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.842 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.842 * [taylor]: Taking taylor expansion of -1 in k 8.842 * [taylor]: Taking taylor expansion of k in k 8.867 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 8.868 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in (k n) around 0 8.868 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 8.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.868 * [taylor]: Taking taylor expansion of k in n 8.868 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.868 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.868 * [taylor]: Taking taylor expansion of 0.5 in n 8.868 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.868 * [taylor]: Taking taylor expansion of 1.0 in n 8.868 * [taylor]: Taking taylor expansion of k in n 8.868 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.868 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.868 * [taylor]: Taking taylor expansion of 2.0 in n 8.868 * [taylor]: Taking taylor expansion of (* n PI) in n 8.868 * [taylor]: Taking taylor expansion of n in n 8.868 * [taylor]: Taking taylor expansion of PI in n 8.874 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.874 * [taylor]: Taking taylor expansion of k in k 8.875 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.875 * [taylor]: Taking taylor expansion of 0.5 in k 8.875 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.875 * [taylor]: Taking taylor expansion of 1.0 in k 8.875 * [taylor]: Taking taylor expansion of k in k 8.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.875 * [taylor]: Taking taylor expansion of 2.0 in k 8.875 * [taylor]: Taking taylor expansion of (* n PI) in k 8.875 * [taylor]: Taking taylor expansion of n in k 8.875 * [taylor]: Taking taylor expansion of PI in k 8.876 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 8.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.876 * [taylor]: Taking taylor expansion of k in k 8.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.878 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.878 * [taylor]: Taking taylor expansion of 0.5 in k 8.878 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.878 * [taylor]: Taking taylor expansion of 1.0 in k 8.878 * [taylor]: Taking taylor expansion of k in k 8.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.878 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.878 * [taylor]: Taking taylor expansion of 2.0 in k 8.878 * [taylor]: Taking taylor expansion of (* n PI) in k 8.878 * [taylor]: Taking taylor expansion of n in k 8.878 * [taylor]: Taking taylor expansion of PI in k 8.879 * [taylor]: Taking taylor expansion of 0 in n 8.884 * [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 8.884 * [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 8.884 * [taylor]: Taking taylor expansion of +nan.0 in n 8.884 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.884 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.884 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.884 * [taylor]: Taking taylor expansion of 0.5 in n 8.884 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.884 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.884 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.884 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.884 * [taylor]: Taking taylor expansion of 1.0 in n 8.884 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.884 * [taylor]: Taking taylor expansion of 2.0 in n 8.886 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.886 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.886 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.886 * [taylor]: Taking taylor expansion of 1.0 in n 8.886 * [taylor]: Taking taylor expansion of (log n) in n 8.886 * [taylor]: Taking taylor expansion of n in n 8.886 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.886 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.886 * [taylor]: Taking taylor expansion of 1.0 in n 8.886 * [taylor]: Taking taylor expansion of (log PI) in n 8.886 * [taylor]: Taking taylor expansion of PI in n 8.903 * [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 8.903 * [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 8.903 * [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 8.903 * [taylor]: Taking taylor expansion of +nan.0 in n 8.903 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.903 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.903 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.903 * [taylor]: Taking taylor expansion of 0.5 in n 8.903 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.903 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.903 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.903 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.903 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.903 * [taylor]: Taking taylor expansion of 1.0 in n 8.903 * [taylor]: Taking taylor expansion of (log PI) in n 8.903 * [taylor]: Taking taylor expansion of PI in n 8.912 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.912 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.912 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.912 * [taylor]: Taking taylor expansion of 1.0 in n 8.912 * [taylor]: Taking taylor expansion of (log n) in n 8.912 * [taylor]: Taking taylor expansion of n in n 8.913 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.913 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.913 * [taylor]: Taking taylor expansion of 1.0 in n 8.913 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.913 * [taylor]: Taking taylor expansion of 2.0 in n 8.918 * [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 8.918 * [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 8.918 * [taylor]: Taking taylor expansion of +nan.0 in n 8.918 * [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 8.918 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 8.918 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 8.918 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 8.918 * [taylor]: Taking taylor expansion of 0.5 in n 8.918 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 8.918 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 8.918 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.919 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.919 * [taylor]: Taking taylor expansion of 1.0 in n 8.919 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.919 * [taylor]: Taking taylor expansion of 2.0 in n 8.920 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 8.920 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.920 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.920 * [taylor]: Taking taylor expansion of 1.0 in n 8.920 * [taylor]: Taking taylor expansion of (log PI) in n 8.920 * [taylor]: Taking taylor expansion of PI in n 8.922 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.922 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.922 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.922 * [taylor]: Taking taylor expansion of 1.0 in n 8.922 * [taylor]: Taking taylor expansion of (log n) in n 8.922 * [taylor]: Taking taylor expansion of n in n 8.926 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.927 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.927 * [taylor]: Taking taylor expansion of 2.0 in n 8.927 * [taylor]: Taking taylor expansion of (* n PI) in n 8.927 * [taylor]: Taking taylor expansion of n in n 8.927 * [taylor]: Taking taylor expansion of PI in n 8.970 * [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 8.971 * [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 8.971 * [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 8.971 * [taylor]: Taking taylor expansion of +nan.0 in n 8.971 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.971 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.971 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.971 * [taylor]: Taking taylor expansion of 0.5 in n 8.971 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.971 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.971 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.971 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.971 * [taylor]: Taking taylor expansion of 1.0 in n 8.971 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.971 * [taylor]: Taking taylor expansion of 2.0 in n 8.973 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.973 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.973 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.973 * [taylor]: Taking taylor expansion of 1.0 in n 8.973 * [taylor]: Taking taylor expansion of (log n) in n 8.973 * [taylor]: Taking taylor expansion of n in n 8.973 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.973 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.973 * [taylor]: Taking taylor expansion of 1.0 in n 8.973 * [taylor]: Taking taylor expansion of (log PI) in n 8.973 * [taylor]: Taking taylor expansion of PI in n 8.979 * [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 8.979 * [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 8.979 * [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 8.979 * [taylor]: Taking taylor expansion of +nan.0 in n 8.979 * [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 8.979 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 8.979 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 8.979 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 8.979 * [taylor]: Taking taylor expansion of 0.5 in n 8.979 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 8.979 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 8.979 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.979 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.979 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.979 * [taylor]: Taking taylor expansion of 1.0 in n 8.979 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.979 * [taylor]: Taking taylor expansion of 2.0 in n 8.981 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 8.981 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.981 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.981 * [taylor]: Taking taylor expansion of 1.0 in n 8.981 * [taylor]: Taking taylor expansion of (log PI) in n 8.981 * [taylor]: Taking taylor expansion of PI in n 8.983 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.983 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.983 * [taylor]: Taking taylor expansion of 1.0 in n 8.983 * [taylor]: Taking taylor expansion of (log n) in n 8.983 * [taylor]: Taking taylor expansion of n in n 8.987 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.987 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.987 * [taylor]: Taking taylor expansion of 2.0 in n 8.987 * [taylor]: Taking taylor expansion of (* n PI) in n 8.987 * [taylor]: Taking taylor expansion of n in n 8.987 * [taylor]: Taking taylor expansion of PI in n 8.990 * [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 8.990 * [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 8.990 * [taylor]: Taking taylor expansion of +nan.0 in n 8.990 * [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 8.990 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 8.990 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 8.990 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 8.990 * [taylor]: Taking taylor expansion of 0.5 in n 8.990 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 8.990 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 8.991 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.991 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.991 * [taylor]: Taking taylor expansion of 1.0 in n 8.991 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.991 * [taylor]: Taking taylor expansion of 2.0 in n 8.992 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 8.992 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.992 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.992 * [taylor]: Taking taylor expansion of 1.0 in n 8.992 * [taylor]: Taking taylor expansion of (log PI) in n 8.992 * [taylor]: Taking taylor expansion of PI in n 8.994 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.994 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.994 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.994 * [taylor]: Taking taylor expansion of 1.0 in n 8.994 * [taylor]: Taking taylor expansion of (log n) in n 8.994 * [taylor]: Taking taylor expansion of n in n 9.004 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 9.004 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.004 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.004 * [taylor]: Taking taylor expansion of 2.0 in n 9.004 * [taylor]: Taking taylor expansion of (* n PI) in n 9.004 * [taylor]: Taking taylor expansion of n in n 9.005 * [taylor]: Taking taylor expansion of PI in n 9.079 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 9.079 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 9.079 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.079 * [taylor]: Taking taylor expansion of k in n 9.079 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.079 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.080 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.080 * [taylor]: Taking taylor expansion of 0.5 in n 9.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.080 * [taylor]: Taking taylor expansion of 1.0 in n 9.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.080 * [taylor]: Taking taylor expansion of k in n 9.080 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.080 * [taylor]: Taking taylor expansion of 2.0 in n 9.080 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.080 * [taylor]: Taking taylor expansion of PI in n 9.080 * [taylor]: Taking taylor expansion of n in n 9.083 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.083 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.083 * [taylor]: Taking taylor expansion of k in k 9.085 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.085 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.085 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.085 * [taylor]: Taking taylor expansion of 0.5 in k 9.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.085 * [taylor]: Taking taylor expansion of 1.0 in k 9.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.085 * [taylor]: Taking taylor expansion of k in k 9.085 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.085 * [taylor]: Taking taylor expansion of 2.0 in k 9.085 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.085 * [taylor]: Taking taylor expansion of PI in k 9.085 * [taylor]: Taking taylor expansion of n in k 9.086 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.086 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.086 * [taylor]: Taking taylor expansion of k in k 9.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.087 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.087 * [taylor]: Taking taylor expansion of 0.5 in k 9.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.087 * [taylor]: Taking taylor expansion of 1.0 in k 9.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.092 * [taylor]: Taking taylor expansion of k in k 9.093 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.093 * [taylor]: Taking taylor expansion of 2.0 in k 9.093 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.093 * [taylor]: Taking taylor expansion of PI in k 9.093 * [taylor]: Taking taylor expansion of n in k 9.094 * [taylor]: Taking taylor expansion of 0 in n 9.095 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.095 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.095 * [taylor]: Taking taylor expansion of +nan.0 in n 9.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.095 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.095 * [taylor]: Taking taylor expansion of 0.5 in n 9.095 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.095 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.095 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.095 * [taylor]: Taking taylor expansion of 2.0 in n 9.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.095 * [taylor]: Taking taylor expansion of PI in n 9.095 * [taylor]: Taking taylor expansion of n in n 9.096 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.096 * [taylor]: Taking taylor expansion of 1.0 in n 9.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.096 * [taylor]: Taking taylor expansion of k in n 9.104 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.104 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.104 * [taylor]: Taking taylor expansion of +nan.0 in n 9.104 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.104 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.104 * [taylor]: Taking taylor expansion of 0.5 in n 9.104 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.104 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.104 * [taylor]: Taking taylor expansion of 2.0 in n 9.104 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.104 * [taylor]: Taking taylor expansion of PI in n 9.105 * [taylor]: Taking taylor expansion of n in n 9.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.106 * [taylor]: Taking taylor expansion of 1.0 in n 9.106 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.106 * [taylor]: Taking taylor expansion of k in n 9.122 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.122 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.123 * [taylor]: Taking taylor expansion of +nan.0 in n 9.123 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.123 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.123 * [taylor]: Taking taylor expansion of 0.5 in n 9.123 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.123 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.123 * [taylor]: Taking taylor expansion of 2.0 in n 9.123 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.123 * [taylor]: Taking taylor expansion of PI in n 9.123 * [taylor]: Taking taylor expansion of n in n 9.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.124 * [taylor]: Taking taylor expansion of 1.0 in n 9.124 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.124 * [taylor]: Taking taylor expansion of k in n 9.133 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (k n) around 0 9.133 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 9.133 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.133 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.133 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.133 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.133 * [taylor]: Taking taylor expansion of 0.5 in n 9.133 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.133 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.133 * [taylor]: Taking taylor expansion of k in n 9.134 * [taylor]: Taking taylor expansion of 1.0 in n 9.134 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.134 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.134 * [taylor]: Taking taylor expansion of -2.0 in n 9.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.134 * [taylor]: Taking taylor expansion of PI in n 9.134 * [taylor]: Taking taylor expansion of n in n 9.137 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.138 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.138 * [taylor]: Taking taylor expansion of -1 in n 9.138 * [taylor]: Taking taylor expansion of k in n 9.139 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.139 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.139 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.139 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.139 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.139 * [taylor]: Taking taylor expansion of 0.5 in k 9.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.139 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.139 * [taylor]: Taking taylor expansion of k in k 9.139 * [taylor]: Taking taylor expansion of 1.0 in k 9.139 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.139 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.139 * [taylor]: Taking taylor expansion of -2.0 in k 9.139 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.139 * [taylor]: Taking taylor expansion of PI in k 9.139 * [taylor]: Taking taylor expansion of n in k 9.140 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.140 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.140 * [taylor]: Taking taylor expansion of -1 in k 9.140 * [taylor]: Taking taylor expansion of k in k 9.142 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.142 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.142 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.142 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.142 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.142 * [taylor]: Taking taylor expansion of 0.5 in k 9.142 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.142 * [taylor]: Taking taylor expansion of k in k 9.142 * [taylor]: Taking taylor expansion of 1.0 in k 9.142 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.142 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.142 * [taylor]: Taking taylor expansion of -2.0 in k 9.142 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.142 * [taylor]: Taking taylor expansion of PI in k 9.142 * [taylor]: Taking taylor expansion of n in k 9.143 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.143 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.143 * [taylor]: Taking taylor expansion of -1 in k 9.143 * [taylor]: Taking taylor expansion of k in k 9.145 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.145 * [taylor]: Taking taylor expansion of +nan.0 in n 9.145 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.145 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.145 * [taylor]: Taking taylor expansion of 0.5 in n 9.145 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.145 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.145 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.145 * [taylor]: Taking taylor expansion of k in n 9.145 * [taylor]: Taking taylor expansion of 1.0 in n 9.145 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.145 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.145 * [taylor]: Taking taylor expansion of -2.0 in n 9.145 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.145 * [taylor]: Taking taylor expansion of PI in n 9.145 * [taylor]: Taking taylor expansion of n in n 9.154 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 9.154 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.154 * [taylor]: Taking taylor expansion of +nan.0 in n 9.154 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.154 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.154 * [taylor]: Taking taylor expansion of 0.5 in n 9.154 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.154 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.154 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.154 * [taylor]: Taking taylor expansion of k in n 9.154 * [taylor]: Taking taylor expansion of 1.0 in n 9.154 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.154 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.154 * [taylor]: Taking taylor expansion of -2.0 in n 9.154 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.154 * [taylor]: Taking taylor expansion of PI in n 9.154 * [taylor]: Taking taylor expansion of n in n 9.172 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 9.172 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.172 * [taylor]: Taking taylor expansion of +nan.0 in n 9.172 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.172 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.172 * [taylor]: Taking taylor expansion of 0.5 in n 9.172 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.172 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.172 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.172 * [taylor]: Taking taylor expansion of k in n 9.172 * [taylor]: Taking taylor expansion of 1.0 in n 9.172 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.172 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.173 * [taylor]: Taking taylor expansion of -2.0 in n 9.173 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.173 * [taylor]: Taking taylor expansion of PI in n 9.173 * [taylor]: Taking taylor expansion of n in n 9.188 * * * [progress]: simplifying candidates 9.233 * [simplify]: Simplifying using # : (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 (sqrt (sqrt k)))) (log1p (/ 1 (sqrt (sqrt k)))) (- 1/2) (- 1) (- (/ 1/2 2)) (- (/ 1 2)) (- (/ (/ 1 2) 2)) (- (log (sqrt (sqrt k)))) (- 0 (log (sqrt (sqrt k)))) (- (log 1) (log (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (exp (/ 1 (sqrt (sqrt k)))) (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt k)))) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (- 1) (- (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1) (sqrt (cbrt (sqrt k)))) (/ (* 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9.499 * * [simplify]: iteration 0 : 1945 enodes (cost 80657 ) 9.877 * * [simplify]: iteration done : 5000 enodes (cost 80642 ) 9.912 * [simplify]: Simplified to: (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)) 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(/ (/ (- 1.0 k) 2.0) 2)))) (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (/ 1 (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ 1 (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))) (/ 1 (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (/ 1 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ 1 1) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 1)) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (/ 1 (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (/ 1 (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (- (+ (* 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)) (pow k -1/4) (pow (/ 1 k) 1/4) (- (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))))))) (- (- (* +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 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (/ (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)))))))))) 9.939 * * * [progress]: adding candidates to table 16.325 * [progress]: [Phase 3 of 3] Extracting. 16.325 * * [regime]: Finding splitpoints for: (# # # # # # # #) 16.327 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 16.327 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 16.365 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 16.403 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 16.440 * * * [regime]: Found split indices: #