14.884 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.088 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.089 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.093 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.105 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.123 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.203 * * [simplify]: iteration 5 : 793 enodes (cost 16 ) 0.586 * * [simplify]: iteration 6 : 3265 enodes (cost 16 ) 1.883 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 1.883 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.883 * * [progress]: iteration 1 / 4 1.883 * * * [progress]: picking best candidate 1.886 * * * * [pick]: Picked # 1.886 * * * [progress]: localizing error 1.898 * * * [progress]: generating rewritten candidates 1.898 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.908 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.911 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.917 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.943 * * * [progress]: generating series expansions 1.943 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.944 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.944 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.944 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.944 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.944 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.944 * [taylor]: Taking taylor expansion of 0.5 in k 1.944 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.944 * [taylor]: Taking taylor expansion of 1.0 in k 1.944 * [taylor]: Taking taylor expansion of k in k 1.944 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.944 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.944 * [taylor]: Taking taylor expansion of 2.0 in k 1.944 * [taylor]: Taking taylor expansion of (* n PI) in k 1.944 * [taylor]: Taking taylor expansion of n in k 1.944 * [taylor]: Taking taylor expansion of PI in k 1.945 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.945 * [taylor]: Taking taylor expansion of 0.5 in n 1.945 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.945 * [taylor]: Taking taylor expansion of 1.0 in n 1.945 * [taylor]: Taking taylor expansion of k in n 1.945 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.945 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.945 * [taylor]: Taking taylor expansion of 2.0 in n 1.945 * [taylor]: Taking taylor expansion of (* n PI) in n 1.945 * [taylor]: Taking taylor expansion of n in n 1.945 * [taylor]: Taking taylor expansion of PI in n 1.951 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.951 * [taylor]: Taking taylor expansion of 0.5 in n 1.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.951 * [taylor]: Taking taylor expansion of 1.0 in n 1.951 * [taylor]: Taking taylor expansion of k in n 1.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.951 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.951 * [taylor]: Taking taylor expansion of 2.0 in n 1.951 * [taylor]: Taking taylor expansion of (* n PI) in n 1.951 * [taylor]: Taking taylor expansion of n in n 1.951 * [taylor]: Taking taylor expansion of PI in n 1.956 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.957 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.957 * [taylor]: Taking taylor expansion of 0.5 in k 1.957 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.957 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.957 * [taylor]: Taking taylor expansion of 1.0 in k 1.957 * [taylor]: Taking taylor expansion of k in k 1.957 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.957 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.957 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.957 * [taylor]: Taking taylor expansion of 2.0 in k 1.957 * [taylor]: Taking taylor expansion of PI in k 1.958 * [taylor]: Taking taylor expansion of (log n) in k 1.958 * [taylor]: Taking taylor expansion of n in k 1.967 * [taylor]: Taking taylor expansion of 0 in k 1.983 * [taylor]: Taking taylor expansion of 0 in k 2.002 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.002 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.002 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.002 * [taylor]: Taking taylor expansion of 0.5 in k 2.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.002 * [taylor]: Taking taylor expansion of 1.0 in k 2.002 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.002 * [taylor]: Taking taylor expansion of k in k 2.002 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.003 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.003 * [taylor]: Taking taylor expansion of 2.0 in k 2.003 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.003 * [taylor]: Taking taylor expansion of PI in k 2.003 * [taylor]: Taking taylor expansion of n in k 2.004 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.004 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.004 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.004 * [taylor]: Taking taylor expansion of 0.5 in n 2.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.004 * [taylor]: Taking taylor expansion of 1.0 in n 2.004 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.004 * [taylor]: Taking taylor expansion of k in n 2.004 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.004 * [taylor]: Taking taylor expansion of 2.0 in n 2.004 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.004 * [taylor]: Taking taylor expansion of PI in n 2.004 * [taylor]: Taking taylor expansion of n in n 2.008 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.008 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.008 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.008 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.008 * [taylor]: Taking taylor expansion of 0.5 in n 2.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.008 * [taylor]: Taking taylor expansion of 1.0 in n 2.008 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.008 * [taylor]: Taking taylor expansion of k in n 2.008 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.008 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.008 * [taylor]: Taking taylor expansion of 2.0 in n 2.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.008 * [taylor]: Taking taylor expansion of PI in n 2.008 * [taylor]: Taking taylor expansion of n in n 2.012 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.012 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.012 * [taylor]: Taking taylor expansion of 0.5 in k 2.012 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.012 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.012 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.012 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.012 * [taylor]: Taking taylor expansion of 2.0 in k 2.012 * [taylor]: Taking taylor expansion of PI in k 2.013 * [taylor]: Taking taylor expansion of (log n) in k 2.013 * [taylor]: Taking taylor expansion of n in k 2.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.013 * [taylor]: Taking taylor expansion of 1.0 in k 2.013 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.013 * [taylor]: Taking taylor expansion of k in k 2.026 * [taylor]: Taking taylor expansion of 0 in k 2.034 * [taylor]: Taking taylor expansion of 0 in k 2.043 * [taylor]: Taking taylor expansion of 0 in k 2.044 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.044 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.044 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.044 * [taylor]: Taking taylor expansion of 0.5 in k 2.044 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.045 * [taylor]: Taking taylor expansion of k in k 2.045 * [taylor]: Taking taylor expansion of 1.0 in k 2.045 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.045 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.045 * [taylor]: Taking taylor expansion of -2.0 in k 2.045 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.045 * [taylor]: Taking taylor expansion of PI in k 2.045 * [taylor]: Taking taylor expansion of n in k 2.046 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.046 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.046 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.046 * [taylor]: Taking taylor expansion of 0.5 in n 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.046 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.046 * [taylor]: Taking taylor expansion of k in n 2.046 * [taylor]: Taking taylor expansion of 1.0 in n 2.046 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.046 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.046 * [taylor]: Taking taylor expansion of -2.0 in n 2.046 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.046 * [taylor]: Taking taylor expansion of PI in n 2.046 * [taylor]: Taking taylor expansion of n in n 2.050 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.050 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.050 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.050 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.050 * [taylor]: Taking taylor expansion of 0.5 in n 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.050 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.050 * [taylor]: Taking taylor expansion of k in n 2.050 * [taylor]: Taking taylor expansion of 1.0 in n 2.050 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.050 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.050 * [taylor]: Taking taylor expansion of -2.0 in n 2.050 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.050 * [taylor]: Taking taylor expansion of PI in n 2.050 * [taylor]: Taking taylor expansion of n in n 2.054 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.054 * [taylor]: Taking taylor expansion of 0.5 in k 2.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.054 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.054 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.054 * [taylor]: Taking taylor expansion of k in k 2.054 * [taylor]: Taking taylor expansion of 1.0 in k 2.054 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.054 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.054 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.054 * [taylor]: Taking taylor expansion of -2.0 in k 2.054 * [taylor]: Taking taylor expansion of PI in k 2.055 * [taylor]: Taking taylor expansion of (log n) in k 2.055 * [taylor]: Taking taylor expansion of n in k 2.064 * [taylor]: Taking taylor expansion of 0 in k 2.071 * [taylor]: Taking taylor expansion of 0 in k 2.080 * [taylor]: Taking taylor expansion of 0 in k 2.081 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.081 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.081 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.081 * [taylor]: Taking taylor expansion of 1.0 in k 2.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.081 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.081 * [taylor]: Taking taylor expansion of k in k 2.082 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.082 * [taylor]: Taking taylor expansion of 1.0 in k 2.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.082 * [taylor]: Taking taylor expansion of k in k 2.094 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.094 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.094 * [taylor]: Taking taylor expansion of 1.0 in k 2.094 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.094 * [taylor]: Taking taylor expansion of k in k 2.095 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.095 * [taylor]: Taking taylor expansion of 1.0 in k 2.095 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.095 * [taylor]: Taking taylor expansion of k in k 2.108 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.108 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.108 * [taylor]: Taking taylor expansion of 1.0 in k 2.108 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.108 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.108 * [taylor]: Taking taylor expansion of -1 in k 2.108 * [taylor]: Taking taylor expansion of k in k 2.110 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.110 * [taylor]: Taking taylor expansion of 1.0 in k 2.110 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.110 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.110 * [taylor]: Taking taylor expansion of -1 in k 2.110 * [taylor]: Taking taylor expansion of k in k 2.122 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.122 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.122 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.123 * [taylor]: Taking taylor expansion of 2.0 in n 2.123 * [taylor]: Taking taylor expansion of (* n PI) in n 2.123 * [taylor]: Taking taylor expansion of n in n 2.123 * [taylor]: Taking taylor expansion of PI in n 2.123 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.123 * [taylor]: Taking taylor expansion of 2.0 in n 2.123 * [taylor]: Taking taylor expansion of (* n PI) in n 2.123 * [taylor]: Taking taylor expansion of n in n 2.123 * [taylor]: Taking taylor expansion of PI in n 2.135 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.135 * [taylor]: Taking taylor expansion of 2.0 in n 2.135 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.135 * [taylor]: Taking taylor expansion of PI in n 2.135 * [taylor]: Taking taylor expansion of n in n 2.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.136 * [taylor]: Taking taylor expansion of 2.0 in n 2.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.136 * [taylor]: Taking taylor expansion of PI in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.144 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.144 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.144 * [taylor]: Taking taylor expansion of -2.0 in n 2.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.145 * [taylor]: Taking taylor expansion of PI in n 2.145 * [taylor]: Taking taylor expansion of n in n 2.145 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.145 * [taylor]: Taking taylor expansion of -2.0 in n 2.145 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.145 * [taylor]: Taking taylor expansion of PI in n 2.145 * [taylor]: Taking taylor expansion of n in n 2.153 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.154 * [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 2.154 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.154 * [taylor]: Taking taylor expansion of 1.0 in n 2.154 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.154 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.154 * [taylor]: Taking taylor expansion of k in n 2.154 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.154 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.154 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.154 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.154 * [taylor]: Taking taylor expansion of 0.5 in n 2.154 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.154 * [taylor]: Taking taylor expansion of 1.0 in n 2.154 * [taylor]: Taking taylor expansion of k in n 2.154 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.154 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.154 * [taylor]: Taking taylor expansion of 2.0 in n 2.154 * [taylor]: Taking taylor expansion of (* n PI) in n 2.154 * [taylor]: Taking taylor expansion of n in n 2.154 * [taylor]: Taking taylor expansion of PI in n 2.160 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.160 * [taylor]: Taking taylor expansion of 1.0 in k 2.160 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.160 * [taylor]: Taking taylor expansion of k in k 2.161 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.161 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.161 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.161 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.161 * [taylor]: Taking taylor expansion of 0.5 in k 2.161 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.161 * [taylor]: Taking taylor expansion of 1.0 in k 2.161 * [taylor]: Taking taylor expansion of k in k 2.161 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.161 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.161 * [taylor]: Taking taylor expansion of 2.0 in k 2.161 * [taylor]: Taking taylor expansion of (* n PI) in k 2.161 * [taylor]: Taking taylor expansion of n in k 2.161 * [taylor]: Taking taylor expansion of PI in k 2.162 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.162 * [taylor]: Taking taylor expansion of 1.0 in k 2.162 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.162 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.162 * [taylor]: Taking taylor expansion of k in k 2.164 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.164 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.164 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.164 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.164 * [taylor]: Taking taylor expansion of 0.5 in k 2.164 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.164 * [taylor]: Taking taylor expansion of 1.0 in k 2.164 * [taylor]: Taking taylor expansion of k in k 2.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.164 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.164 * [taylor]: Taking taylor expansion of 2.0 in k 2.164 * [taylor]: Taking taylor expansion of (* n PI) in k 2.164 * [taylor]: Taking taylor expansion of n in k 2.164 * [taylor]: Taking taylor expansion of PI in k 2.165 * [taylor]: Taking taylor expansion of 0 in n 2.171 * [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 2.171 * [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 2.171 * [taylor]: Taking taylor expansion of +nan.0 in n 2.171 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.171 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.171 * [taylor]: Taking taylor expansion of 0.5 in n 2.171 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.171 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.171 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.171 * [taylor]: Taking taylor expansion of 1.0 in n 2.171 * [taylor]: Taking taylor expansion of (log PI) in n 2.171 * [taylor]: Taking taylor expansion of PI in n 2.173 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.173 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.173 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.173 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.173 * [taylor]: Taking taylor expansion of 1.0 in n 2.173 * [taylor]: Taking taylor expansion of (log n) in n 2.173 * [taylor]: Taking taylor expansion of n in n 2.174 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.174 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.174 * [taylor]: Taking taylor expansion of 1.0 in n 2.174 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.174 * [taylor]: Taking taylor expansion of 2.0 in n 2.198 * [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 2.198 * [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 2.198 * [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 2.198 * [taylor]: Taking taylor expansion of +nan.0 in n 2.198 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.198 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.198 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.198 * [taylor]: Taking taylor expansion of 0.5 in n 2.198 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.198 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.198 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.198 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.198 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.198 * [taylor]: Taking taylor expansion of 1.0 in n 2.198 * [taylor]: Taking taylor expansion of (log PI) in n 2.198 * [taylor]: Taking taylor expansion of PI in n 2.200 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.200 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.200 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.200 * [taylor]: Taking taylor expansion of 1.0 in n 2.200 * [taylor]: Taking taylor expansion of (log n) in n 2.200 * [taylor]: Taking taylor expansion of n in n 2.201 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.201 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.201 * [taylor]: Taking taylor expansion of 1.0 in n 2.201 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.201 * [taylor]: Taking taylor expansion of 2.0 in n 2.206 * [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 2.206 * [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 2.206 * [taylor]: Taking taylor expansion of +nan.0 in n 2.206 * [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 2.206 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.206 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.206 * [taylor]: Taking taylor expansion of 0.5 in n 2.206 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.206 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.206 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.206 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.206 * [taylor]: Taking taylor expansion of 1.0 in n 2.206 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.206 * [taylor]: Taking taylor expansion of 2.0 in n 2.208 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.208 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.208 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.208 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.208 * [taylor]: Taking taylor expansion of 1.0 in n 2.208 * [taylor]: Taking taylor expansion of (log PI) in n 2.208 * [taylor]: Taking taylor expansion of PI in n 2.210 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.210 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.210 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.210 * [taylor]: Taking taylor expansion of 1.0 in n 2.210 * [taylor]: Taking taylor expansion of (log n) in n 2.210 * [taylor]: Taking taylor expansion of n in n 2.215 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.215 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.215 * [taylor]: Taking taylor expansion of 2.0 in n 2.215 * [taylor]: Taking taylor expansion of (* n PI) in n 2.215 * [taylor]: Taking taylor expansion of n in n 2.215 * [taylor]: Taking taylor expansion of PI in n 2.264 * [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 2.264 * [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 2.264 * [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 2.264 * [taylor]: Taking taylor expansion of +nan.0 in n 2.264 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.264 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.264 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.265 * [taylor]: Taking taylor expansion of 0.5 in n 2.265 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.265 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.265 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.265 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.265 * [taylor]: Taking taylor expansion of 1.0 in n 2.265 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.265 * [taylor]: Taking taylor expansion of 2.0 in n 2.266 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.266 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.267 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.267 * [taylor]: Taking taylor expansion of 1.0 in n 2.267 * [taylor]: Taking taylor expansion of (log n) in n 2.267 * [taylor]: Taking taylor expansion of n in n 2.267 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.267 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.267 * [taylor]: Taking taylor expansion of 1.0 in n 2.267 * [taylor]: Taking taylor expansion of (log PI) in n 2.267 * [taylor]: Taking taylor expansion of PI in n 2.273 * [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 2.273 * [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 2.273 * [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 2.273 * [taylor]: Taking taylor expansion of +nan.0 in n 2.273 * [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 2.273 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.273 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.273 * [taylor]: Taking taylor expansion of 0.5 in n 2.273 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.273 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.273 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.273 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.273 * [taylor]: Taking taylor expansion of 1.0 in n 2.273 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.273 * [taylor]: Taking taylor expansion of 2.0 in n 2.275 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.275 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.275 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.275 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.275 * [taylor]: Taking taylor expansion of 1.0 in n 2.275 * [taylor]: Taking taylor expansion of (log PI) in n 2.275 * [taylor]: Taking taylor expansion of PI in n 2.277 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.277 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.277 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.277 * [taylor]: Taking taylor expansion of 1.0 in n 2.277 * [taylor]: Taking taylor expansion of (log n) in n 2.277 * [taylor]: Taking taylor expansion of n in n 2.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.286 * [taylor]: Taking taylor expansion of 2.0 in n 2.286 * [taylor]: Taking taylor expansion of (* n PI) in n 2.286 * [taylor]: Taking taylor expansion of n in n 2.286 * [taylor]: Taking taylor expansion of PI in n 2.289 * [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 2.289 * [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 2.289 * [taylor]: Taking taylor expansion of +nan.0 in n 2.289 * [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 2.289 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.289 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.289 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.289 * [taylor]: Taking taylor expansion of 0.5 in n 2.289 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.289 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.289 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.289 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.289 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.289 * [taylor]: Taking taylor expansion of 1.0 in n 2.289 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.289 * [taylor]: Taking taylor expansion of 2.0 in n 2.291 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.291 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.291 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.291 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.291 * [taylor]: Taking taylor expansion of 1.0 in n 2.291 * [taylor]: Taking taylor expansion of (log PI) in n 2.291 * [taylor]: Taking taylor expansion of PI in n 2.293 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.293 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.293 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.293 * [taylor]: Taking taylor expansion of 1.0 in n 2.293 * [taylor]: Taking taylor expansion of (log n) in n 2.293 * [taylor]: Taking taylor expansion of n in n 2.297 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.297 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.297 * [taylor]: Taking taylor expansion of 2.0 in n 2.297 * [taylor]: Taking taylor expansion of (* n PI) in n 2.297 * [taylor]: Taking taylor expansion of n in n 2.297 * [taylor]: Taking taylor expansion of PI in n 2.375 * [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 2.375 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.375 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.375 * [taylor]: Taking taylor expansion of k in n 2.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.375 * [taylor]: Taking taylor expansion of 0.5 in n 2.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.375 * [taylor]: Taking taylor expansion of k in n 2.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.375 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.375 * [taylor]: Taking taylor expansion of 2.0 in n 2.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.375 * [taylor]: Taking taylor expansion of PI in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.379 * [taylor]: Taking taylor expansion of 1.0 in k 2.379 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.379 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.379 * [taylor]: Taking taylor expansion of k in k 2.380 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.380 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.380 * [taylor]: Taking taylor expansion of 0.5 in k 2.380 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.380 * [taylor]: Taking taylor expansion of 1.0 in k 2.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.380 * [taylor]: Taking taylor expansion of k in k 2.381 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.381 * [taylor]: Taking taylor expansion of 2.0 in k 2.381 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.381 * [taylor]: Taking taylor expansion of PI in k 2.381 * [taylor]: Taking taylor expansion of n in k 2.382 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.382 * [taylor]: Taking taylor expansion of 1.0 in k 2.382 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.382 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.382 * [taylor]: Taking taylor expansion of k in k 2.383 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.383 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.383 * [taylor]: Taking taylor expansion of 0.5 in k 2.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.383 * [taylor]: Taking taylor expansion of 1.0 in k 2.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.383 * [taylor]: Taking taylor expansion of k in k 2.383 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.383 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.383 * [taylor]: Taking taylor expansion of 2.0 in k 2.383 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.383 * [taylor]: Taking taylor expansion of PI in k 2.383 * [taylor]: Taking taylor expansion of n in k 2.385 * [taylor]: Taking taylor expansion of 0 in n 2.386 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.386 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.386 * [taylor]: Taking taylor expansion of +nan.0 in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.386 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.386 * [taylor]: Taking taylor expansion of 0.5 in n 2.386 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.386 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.386 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.386 * [taylor]: Taking taylor expansion of 2.0 in n 2.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.386 * [taylor]: Taking taylor expansion of PI in n 2.386 * [taylor]: Taking taylor expansion of n in n 2.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.387 * [taylor]: Taking taylor expansion of 1.0 in n 2.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.387 * [taylor]: Taking taylor expansion of k in n 2.396 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.396 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.396 * [taylor]: Taking taylor expansion of +nan.0 in n 2.396 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.396 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.396 * [taylor]: Taking taylor expansion of 0.5 in n 2.396 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.396 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.396 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.396 * [taylor]: Taking taylor expansion of 2.0 in n 2.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.396 * [taylor]: Taking taylor expansion of PI in n 2.396 * [taylor]: Taking taylor expansion of n in n 2.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.397 * [taylor]: Taking taylor expansion of 1.0 in n 2.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.398 * [taylor]: Taking taylor expansion of k in n 2.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.414 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.414 * [taylor]: Taking taylor expansion of +nan.0 in n 2.414 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.414 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.414 * [taylor]: Taking taylor expansion of 0.5 in n 2.414 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.414 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.414 * [taylor]: Taking taylor expansion of 2.0 in n 2.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.414 * [taylor]: Taking taylor expansion of PI in n 2.414 * [taylor]: Taking taylor expansion of n in n 2.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.416 * [taylor]: Taking taylor expansion of 1.0 in n 2.416 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.416 * [taylor]: Taking taylor expansion of k in n 2.424 * [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 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.424 * [taylor]: Taking taylor expansion of 1.0 in n 2.424 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.424 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.424 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.424 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.425 * [taylor]: Taking taylor expansion of 0.5 in n 2.425 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.425 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.425 * [taylor]: Taking taylor expansion of k in n 2.425 * [taylor]: Taking taylor expansion of 1.0 in n 2.425 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.425 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.425 * [taylor]: Taking taylor expansion of -2.0 in n 2.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.425 * [taylor]: Taking taylor expansion of PI in n 2.425 * [taylor]: Taking taylor expansion of n in n 2.428 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.428 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.428 * [taylor]: Taking taylor expansion of -1 in n 2.428 * [taylor]: Taking taylor expansion of k in n 2.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.429 * [taylor]: Taking taylor expansion of 1.0 in k 2.429 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.429 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.429 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.429 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.429 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.429 * [taylor]: Taking taylor expansion of 0.5 in k 2.429 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.429 * [taylor]: Taking taylor expansion of k in k 2.430 * [taylor]: Taking taylor expansion of 1.0 in k 2.430 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.430 * [taylor]: Taking taylor expansion of -2.0 in k 2.430 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.430 * [taylor]: Taking taylor expansion of PI in k 2.430 * [taylor]: Taking taylor expansion of n in k 2.431 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.431 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.431 * [taylor]: Taking taylor expansion of -1 in k 2.431 * [taylor]: Taking taylor expansion of k in k 2.432 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.432 * [taylor]: Taking taylor expansion of 1.0 in k 2.432 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.432 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.432 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.432 * [taylor]: Taking taylor expansion of 0.5 in k 2.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.432 * [taylor]: Taking taylor expansion of k in k 2.433 * [taylor]: Taking taylor expansion of 1.0 in k 2.433 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.433 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.433 * [taylor]: Taking taylor expansion of -2.0 in k 2.433 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.433 * [taylor]: Taking taylor expansion of PI in k 2.433 * [taylor]: Taking taylor expansion of n in k 2.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.433 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.433 * [taylor]: Taking taylor expansion of -1 in k 2.434 * [taylor]: Taking taylor expansion of k in k 2.435 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.435 * [taylor]: Taking taylor expansion of +nan.0 in n 2.435 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.435 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.435 * [taylor]: Taking taylor expansion of 0.5 in n 2.435 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.435 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.435 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.435 * [taylor]: Taking taylor expansion of k in n 2.435 * [taylor]: Taking taylor expansion of 1.0 in n 2.435 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.435 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.435 * [taylor]: Taking taylor expansion of -2.0 in n 2.435 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.435 * [taylor]: Taking taylor expansion of PI in n 2.435 * [taylor]: Taking taylor expansion of n in n 2.445 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.445 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.445 * [taylor]: Taking taylor expansion of +nan.0 in n 2.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.445 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.445 * [taylor]: Taking taylor expansion of 0.5 in n 2.445 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.445 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.445 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.445 * [taylor]: Taking taylor expansion of k in n 2.445 * [taylor]: Taking taylor expansion of 1.0 in n 2.445 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.445 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.445 * [taylor]: Taking taylor expansion of -2.0 in n 2.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.445 * [taylor]: Taking taylor expansion of PI in n 2.445 * [taylor]: Taking taylor expansion of n in n 2.468 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.468 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.468 * [taylor]: Taking taylor expansion of +nan.0 in n 2.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.468 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.468 * [taylor]: Taking taylor expansion of 0.5 in n 2.468 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.468 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.468 * [taylor]: Taking taylor expansion of k in n 2.468 * [taylor]: Taking taylor expansion of 1.0 in n 2.468 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.468 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.468 * [taylor]: Taking taylor expansion of -2.0 in n 2.468 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.468 * [taylor]: Taking taylor expansion of PI in n 2.468 * [taylor]: Taking taylor expansion of n in n 2.478 * * * [progress]: simplifying candidates 2.480 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 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 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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 (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (- (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +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 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +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))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k))))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k))) (/ (* (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) +nan.0) (pow k 3))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 3.499 * * * [progress]: adding candidates to table 3.896 * * [progress]: iteration 2 / 4 3.896 * * * [progress]: picking best candidate 3.928 * * * * [pick]: Picked # 3.928 * * * [progress]: localizing error 3.940 * * * [progress]: generating rewritten candidates 3.940 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 3.949 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 3.956 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.966 * * * [progress]: generating series expansions 3.966 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 3.966 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.967 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.967 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.967 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.967 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.967 * [taylor]: Taking taylor expansion of 0.5 in k 3.967 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.967 * [taylor]: Taking taylor expansion of 1.0 in k 3.967 * [taylor]: Taking taylor expansion of k in k 3.967 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.967 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.967 * [taylor]: Taking taylor expansion of 2.0 in k 3.967 * [taylor]: Taking taylor expansion of (* n PI) in k 3.967 * [taylor]: Taking taylor expansion of n in k 3.967 * [taylor]: Taking taylor expansion of PI in k 3.968 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.968 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.968 * [taylor]: Taking taylor expansion of 0.5 in n 3.968 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.968 * [taylor]: Taking taylor expansion of 1.0 in n 3.968 * [taylor]: Taking taylor expansion of k in n 3.968 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.968 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.968 * [taylor]: Taking taylor expansion of 2.0 in n 3.968 * [taylor]: Taking taylor expansion of (* n PI) in n 3.968 * [taylor]: Taking taylor expansion of n in n 3.968 * [taylor]: Taking taylor expansion of PI in n 3.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.974 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.974 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.974 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.974 * [taylor]: Taking taylor expansion of 0.5 in n 3.974 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.974 * [taylor]: Taking taylor expansion of 1.0 in n 3.974 * [taylor]: Taking taylor expansion of k in n 3.974 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.974 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.974 * [taylor]: Taking taylor expansion of 2.0 in n 3.974 * [taylor]: Taking taylor expansion of (* n PI) in n 3.974 * [taylor]: Taking taylor expansion of n in n 3.974 * [taylor]: Taking taylor expansion of PI in n 3.979 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.979 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.979 * [taylor]: Taking taylor expansion of 0.5 in k 3.979 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.979 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.979 * [taylor]: Taking taylor expansion of 1.0 in k 3.979 * [taylor]: Taking taylor expansion of k in k 3.979 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.979 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.979 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.979 * [taylor]: Taking taylor expansion of 2.0 in k 3.979 * [taylor]: Taking taylor expansion of PI in k 3.980 * [taylor]: Taking taylor expansion of (log n) in k 3.980 * [taylor]: Taking taylor expansion of n in k 3.990 * [taylor]: Taking taylor expansion of 0 in k 4.009 * [taylor]: Taking taylor expansion of 0 in k 4.029 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.029 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.029 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.029 * [taylor]: Taking taylor expansion of 0.5 in k 4.029 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.029 * [taylor]: Taking taylor expansion of 1.0 in k 4.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.029 * [taylor]: Taking taylor expansion of k in k 4.030 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.030 * [taylor]: Taking taylor expansion of 2.0 in k 4.030 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.030 * [taylor]: Taking taylor expansion of PI in k 4.030 * [taylor]: Taking taylor expansion of n in k 4.031 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.031 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.031 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.031 * [taylor]: Taking taylor expansion of 0.5 in n 4.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.031 * [taylor]: Taking taylor expansion of 1.0 in n 4.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.031 * [taylor]: Taking taylor expansion of k in n 4.031 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.031 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.031 * [taylor]: Taking taylor expansion of 2.0 in n 4.031 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.031 * [taylor]: Taking taylor expansion of PI in n 4.031 * [taylor]: Taking taylor expansion of n in n 4.034 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.035 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.035 * [taylor]: Taking taylor expansion of 0.5 in n 4.035 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.035 * [taylor]: Taking taylor expansion of 1.0 in n 4.035 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.035 * [taylor]: Taking taylor expansion of k in n 4.035 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.035 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.035 * [taylor]: Taking taylor expansion of 2.0 in n 4.035 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.035 * [taylor]: Taking taylor expansion of PI in n 4.035 * [taylor]: Taking taylor expansion of n in n 4.038 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.039 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.039 * [taylor]: Taking taylor expansion of 0.5 in k 4.039 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.039 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.039 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.039 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.039 * [taylor]: Taking taylor expansion of 2.0 in k 4.039 * [taylor]: Taking taylor expansion of PI in k 4.040 * [taylor]: Taking taylor expansion of (log n) in k 4.040 * [taylor]: Taking taylor expansion of n in k 4.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.040 * [taylor]: Taking taylor expansion of 1.0 in k 4.040 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.040 * [taylor]: Taking taylor expansion of k in k 4.049 * [taylor]: Taking taylor expansion of 0 in k 4.056 * [taylor]: Taking taylor expansion of 0 in k 4.065 * [taylor]: Taking taylor expansion of 0 in k 4.067 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.067 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.067 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.067 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.067 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.067 * [taylor]: Taking taylor expansion of 0.5 in k 4.067 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.067 * [taylor]: Taking taylor expansion of k in k 4.067 * [taylor]: Taking taylor expansion of 1.0 in k 4.067 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.067 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.067 * [taylor]: Taking taylor expansion of -2.0 in k 4.067 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.067 * [taylor]: Taking taylor expansion of PI in k 4.067 * [taylor]: Taking taylor expansion of n in k 4.068 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.068 * [taylor]: Taking taylor expansion of 0.5 in n 4.068 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.068 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.068 * [taylor]: Taking taylor expansion of k in n 4.068 * [taylor]: Taking taylor expansion of 1.0 in n 4.068 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.068 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.068 * [taylor]: Taking taylor expansion of -2.0 in n 4.068 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.068 * [taylor]: Taking taylor expansion of PI in n 4.068 * [taylor]: Taking taylor expansion of n in n 4.072 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.072 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.072 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.072 * [taylor]: Taking taylor expansion of 0.5 in n 4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.072 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.072 * [taylor]: Taking taylor expansion of k in n 4.072 * [taylor]: Taking taylor expansion of 1.0 in n 4.072 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.072 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.072 * [taylor]: Taking taylor expansion of -2.0 in n 4.072 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.072 * [taylor]: Taking taylor expansion of PI in n 4.072 * [taylor]: Taking taylor expansion of n in n 4.076 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.076 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.076 * [taylor]: Taking taylor expansion of 0.5 in k 4.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.076 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.076 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.076 * [taylor]: Taking taylor expansion of k in k 4.076 * [taylor]: Taking taylor expansion of 1.0 in k 4.076 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.076 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.076 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.076 * [taylor]: Taking taylor expansion of -2.0 in k 4.076 * [taylor]: Taking taylor expansion of PI in k 4.084 * [taylor]: Taking taylor expansion of (log n) in k 4.084 * [taylor]: Taking taylor expansion of n in k 4.093 * [taylor]: Taking taylor expansion of 0 in k 4.100 * [taylor]: Taking taylor expansion of 0 in k 4.108 * [taylor]: Taking taylor expansion of 0 in k 4.109 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 4.110 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.110 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.110 * [taylor]: Taking taylor expansion of 2.0 in n 4.110 * [taylor]: Taking taylor expansion of (* n PI) in n 4.110 * [taylor]: Taking taylor expansion of n in n 4.110 * [taylor]: Taking taylor expansion of PI in n 4.110 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.110 * [taylor]: Taking taylor expansion of 2.0 in n 4.110 * [taylor]: Taking taylor expansion of (* n PI) in n 4.110 * [taylor]: Taking taylor expansion of n in n 4.110 * [taylor]: Taking taylor expansion of PI in n 4.122 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.122 * [taylor]: Taking taylor expansion of 2.0 in n 4.122 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.122 * [taylor]: Taking taylor expansion of PI in n 4.122 * [taylor]: Taking taylor expansion of n in n 4.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.123 * [taylor]: Taking taylor expansion of 2.0 in n 4.123 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.123 * [taylor]: Taking taylor expansion of PI in n 4.123 * [taylor]: Taking taylor expansion of n in n 4.131 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.132 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.132 * [taylor]: Taking taylor expansion of -2.0 in n 4.132 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.132 * [taylor]: Taking taylor expansion of PI in n 4.132 * [taylor]: Taking taylor expansion of n in n 4.132 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.132 * [taylor]: Taking taylor expansion of -2.0 in n 4.132 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.132 * [taylor]: Taking taylor expansion of PI in n 4.132 * [taylor]: Taking taylor expansion of n in n 4.140 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.141 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 4.141 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 4.141 * [taylor]: Taking taylor expansion of 1.0 in k 4.141 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 4.141 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.141 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.141 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.141 * [taylor]: Taking taylor expansion of 0.5 in k 4.141 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.141 * [taylor]: Taking taylor expansion of 1.0 in k 4.141 * [taylor]: Taking taylor expansion of k in k 4.141 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.141 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.141 * [taylor]: Taking taylor expansion of 2.0 in k 4.141 * [taylor]: Taking taylor expansion of (* n PI) in k 4.141 * [taylor]: Taking taylor expansion of n in k 4.141 * [taylor]: Taking taylor expansion of PI in k 4.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.142 * [taylor]: Taking taylor expansion of k in k 4.144 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 4.144 * [taylor]: Taking taylor expansion of 1.0 in n 4.144 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.144 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.144 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.144 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.144 * [taylor]: Taking taylor expansion of 0.5 in n 4.144 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.144 * [taylor]: Taking taylor expansion of 1.0 in n 4.144 * [taylor]: Taking taylor expansion of k in n 4.144 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.144 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.144 * [taylor]: Taking taylor expansion of 2.0 in n 4.144 * [taylor]: Taking taylor expansion of (* n PI) in n 4.144 * [taylor]: Taking taylor expansion of n in n 4.144 * [taylor]: Taking taylor expansion of PI in n 4.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.150 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.150 * [taylor]: Taking taylor expansion of k in n 4.150 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 4.150 * [taylor]: Taking taylor expansion of 1.0 in n 4.150 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.150 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.150 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.150 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.150 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.150 * [taylor]: Taking taylor expansion of 0.5 in n 4.150 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.150 * [taylor]: Taking taylor expansion of 1.0 in n 4.150 * [taylor]: Taking taylor expansion of k in n 4.150 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.150 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.150 * [taylor]: Taking taylor expansion of 2.0 in n 4.150 * [taylor]: Taking taylor expansion of (* n PI) in n 4.150 * [taylor]: Taking taylor expansion of n in n 4.150 * [taylor]: Taking taylor expansion of PI in n 4.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.155 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.155 * [taylor]: Taking taylor expansion of k in n 4.157 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 4.157 * [taylor]: Taking taylor expansion of 1.0 in k 4.157 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 4.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.157 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.157 * [taylor]: Taking taylor expansion of k in k 4.159 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.159 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.159 * [taylor]: Taking taylor expansion of 0.5 in k 4.159 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.159 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.159 * [taylor]: Taking taylor expansion of 1.0 in k 4.159 * [taylor]: Taking taylor expansion of k in k 4.159 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.159 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.159 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.159 * [taylor]: Taking taylor expansion of 2.0 in k 4.159 * [taylor]: Taking taylor expansion of PI in k 4.160 * [taylor]: Taking taylor expansion of (log n) in k 4.160 * [taylor]: Taking taylor expansion of n in k 4.177 * [taylor]: Taking taylor expansion of 0 in k 4.197 * [taylor]: Taking taylor expansion of 0 in k 4.234 * [taylor]: Taking taylor expansion of 0 in k 4.298 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 4.298 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.298 * [taylor]: Taking taylor expansion of 1.0 in k 4.298 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.298 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.298 * [taylor]: Taking taylor expansion of k in k 4.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.299 * [taylor]: Taking taylor expansion of 0.5 in k 4.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.300 * [taylor]: Taking taylor expansion of 1.0 in k 4.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.300 * [taylor]: Taking taylor expansion of k in k 4.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.300 * [taylor]: Taking taylor expansion of 2.0 in k 4.300 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.300 * [taylor]: Taking taylor expansion of PI in k 4.300 * [taylor]: Taking taylor expansion of n in k 4.301 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.301 * [taylor]: Taking taylor expansion of 1.0 in n 4.301 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.301 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.301 * [taylor]: Taking taylor expansion of k in n 4.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.301 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.301 * [taylor]: Taking taylor expansion of 0.5 in n 4.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.301 * [taylor]: Taking taylor expansion of 1.0 in n 4.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.301 * [taylor]: Taking taylor expansion of k in n 4.301 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.301 * [taylor]: Taking taylor expansion of 2.0 in n 4.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.301 * [taylor]: Taking taylor expansion of PI in n 4.301 * [taylor]: Taking taylor expansion of n in n 4.305 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.305 * [taylor]: Taking taylor expansion of 1.0 in n 4.305 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.305 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.305 * [taylor]: Taking taylor expansion of k in n 4.305 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.305 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.305 * [taylor]: Taking taylor expansion of 0.5 in n 4.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.305 * [taylor]: Taking taylor expansion of 1.0 in n 4.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.305 * [taylor]: Taking taylor expansion of k in n 4.305 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.305 * [taylor]: Taking taylor expansion of 2.0 in n 4.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.305 * [taylor]: Taking taylor expansion of PI in n 4.305 * [taylor]: Taking taylor expansion of n in n 4.311 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 4.311 * [taylor]: Taking taylor expansion of 1.0 in k 4.311 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.311 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.311 * [taylor]: Taking taylor expansion of k in k 4.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.312 * [taylor]: Taking taylor expansion of 0.5 in k 4.312 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.312 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.312 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.312 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.312 * [taylor]: Taking taylor expansion of 2.0 in k 4.312 * [taylor]: Taking taylor expansion of PI in k 4.313 * [taylor]: Taking taylor expansion of (log n) in k 4.313 * [taylor]: Taking taylor expansion of n in k 4.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.313 * [taylor]: Taking taylor expansion of 1.0 in k 4.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.313 * [taylor]: Taking taylor expansion of k in k 4.325 * [taylor]: Taking taylor expansion of 0 in k 4.344 * [taylor]: Taking taylor expansion of 0 in k 4.362 * [taylor]: Taking taylor expansion of 0 in k 4.372 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 4.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.372 * [taylor]: Taking taylor expansion of 1.0 in k 4.372 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.372 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.372 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.372 * [taylor]: Taking taylor expansion of 0.5 in k 4.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.372 * [taylor]: Taking taylor expansion of k in k 4.372 * [taylor]: Taking taylor expansion of 1.0 in k 4.372 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.373 * [taylor]: Taking taylor expansion of -2.0 in k 4.373 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.373 * [taylor]: Taking taylor expansion of PI in k 4.373 * [taylor]: Taking taylor expansion of n in k 4.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.374 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.374 * [taylor]: Taking taylor expansion of -1 in k 4.374 * [taylor]: Taking taylor expansion of k in k 4.375 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.375 * [taylor]: Taking taylor expansion of 1.0 in n 4.375 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.375 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.375 * [taylor]: Taking taylor expansion of 0.5 in n 4.375 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) 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 1.0 in n 4.375 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.375 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.375 * [taylor]: Taking taylor expansion of -2.0 in n 4.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.375 * [taylor]: Taking taylor expansion of PI in n 4.375 * [taylor]: Taking taylor expansion of n in n 4.379 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.379 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.379 * [taylor]: Taking taylor expansion of -1 in n 4.379 * [taylor]: Taking taylor expansion of k in n 4.380 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.380 * [taylor]: Taking taylor expansion of 1.0 in n 4.380 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.380 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.380 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.380 * [taylor]: Taking taylor expansion of 0.5 in n 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.380 * [taylor]: Taking taylor expansion of k in n 4.380 * [taylor]: Taking taylor expansion of 1.0 in n 4.380 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.380 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.380 * [taylor]: Taking taylor expansion of -2.0 in n 4.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.380 * [taylor]: Taking taylor expansion of PI in n 4.380 * [taylor]: Taking taylor expansion of n in n 4.384 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.384 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.384 * [taylor]: Taking taylor expansion of -1 in n 4.384 * [taylor]: Taking taylor expansion of k in n 4.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 4.386 * [taylor]: Taking taylor expansion of 1.0 in k 4.386 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 4.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.386 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.386 * [taylor]: Taking taylor expansion of 0.5 in k 4.386 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.386 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.386 * [taylor]: Taking taylor expansion of k in k 4.386 * [taylor]: Taking taylor expansion of 1.0 in k 4.386 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.386 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.386 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.386 * [taylor]: Taking taylor expansion of -2.0 in k 4.386 * [taylor]: Taking taylor expansion of PI in k 4.387 * [taylor]: Taking taylor expansion of (log n) in k 4.387 * [taylor]: Taking taylor expansion of n in k 4.390 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.390 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.390 * [taylor]: Taking taylor expansion of -1 in k 4.390 * [taylor]: Taking taylor expansion of k in k 4.401 * [taylor]: Taking taylor expansion of 0 in k 4.417 * [taylor]: Taking taylor expansion of 0 in k 4.434 * * * [progress]: simplifying candidates 4.435 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.447 * * [simplify]: iteration 0 : 264 enodes (cost 1828 ) 4.504 * * [simplify]: iteration 1 : 710 enodes (cost 1695 ) 4.688 * * [simplify]: iteration 2 : 2587 enodes (cost 1523 ) 5.199 * * [simplify]: iteration done : 5000 enodes (cost 1520 ) 5.199 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt k) (sqrt 1.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (+ (* (* 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)))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.25 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))) (log n))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (- (* (* (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 (pow k 2))) (log n)) (* (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (pow (* (* 2.0 PI) n) 0.5))) (+ (- (* (* (pow (* (* 2.0 PI) n) 0.5) k) (* (log n) +nan.0)) (* (* (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 (pow k 2))) (pow (log (* 2.0 PI)) 2))) (+ (- (* (* +nan.0 k) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (pow (* (* 2.0 PI) n) 0.5)) (log n))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (* 2.0 PI) n) 0.5))) (* +nan.0 (- (* (* (pow k 2) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (* (* 2.0 PI) n) 0.5))))))) (* (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 (pow k 2)))) (- (* +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))) 5.200 * * * [progress]: adding candidates to table 5.426 * * [progress]: iteration 3 / 4 5.426 * * * [progress]: picking best candidate 5.454 * * * * [pick]: Picked # 5.454 * * * [progress]: localizing error 5.468 * * * [progress]: generating rewritten candidates 5.469 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.496 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.499 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.516 * * * [progress]: generating series expansions 5.516 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.521 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 5.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.521 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.521 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.521 * [taylor]: Taking taylor expansion of 0.25 in k 5.521 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.521 * [taylor]: Taking taylor expansion of 1.0 in k 5.521 * [taylor]: Taking taylor expansion of k in k 5.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.521 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.521 * [taylor]: Taking taylor expansion of 2.0 in k 5.521 * [taylor]: Taking taylor expansion of (* n PI) in k 5.521 * [taylor]: Taking taylor expansion of n in k 5.521 * [taylor]: Taking taylor expansion of PI in k 5.522 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.523 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.523 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.523 * [taylor]: Taking taylor expansion of 0.25 in n 5.523 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.523 * [taylor]: Taking taylor expansion of 1.0 in n 5.523 * [taylor]: Taking taylor expansion of k in n 5.523 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.523 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.523 * [taylor]: Taking taylor expansion of 2.0 in n 5.523 * [taylor]: Taking taylor expansion of (* n PI) in n 5.523 * [taylor]: Taking taylor expansion of n in n 5.523 * [taylor]: Taking taylor expansion of PI in n 5.529 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.529 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.529 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.529 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.529 * [taylor]: Taking taylor expansion of 0.25 in n 5.529 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.529 * [taylor]: Taking taylor expansion of 1.0 in n 5.529 * [taylor]: Taking taylor expansion of k in n 5.529 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.529 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.529 * [taylor]: Taking taylor expansion of 2.0 in n 5.529 * [taylor]: Taking taylor expansion of (* n PI) in n 5.529 * [taylor]: Taking taylor expansion of n in n 5.529 * [taylor]: Taking taylor expansion of PI in n 5.534 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.535 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.535 * [taylor]: Taking taylor expansion of 0.25 in k 5.535 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.535 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.535 * [taylor]: Taking taylor expansion of 1.0 in k 5.535 * [taylor]: Taking taylor expansion of k in k 5.535 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.535 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.535 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.535 * [taylor]: Taking taylor expansion of 2.0 in k 5.535 * [taylor]: Taking taylor expansion of PI in k 5.536 * [taylor]: Taking taylor expansion of (log n) in k 5.536 * [taylor]: Taking taylor expansion of n in k 5.545 * [taylor]: Taking taylor expansion of 0 in k 5.561 * [taylor]: Taking taylor expansion of 0 in k 5.580 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 5.580 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.580 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.580 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.580 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.580 * [taylor]: Taking taylor expansion of 0.25 in k 5.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.580 * [taylor]: Taking taylor expansion of 1.0 in k 5.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.580 * [taylor]: Taking taylor expansion of k in k 5.580 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.580 * [taylor]: Taking taylor expansion of 2.0 in k 5.580 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.580 * [taylor]: Taking taylor expansion of PI in k 5.580 * [taylor]: Taking taylor expansion of n in k 5.581 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.582 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.582 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.582 * [taylor]: Taking taylor expansion of 0.25 in n 5.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.582 * [taylor]: Taking taylor expansion of 1.0 in n 5.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.582 * [taylor]: Taking taylor expansion of k in n 5.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.582 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.582 * [taylor]: Taking taylor expansion of 2.0 in n 5.582 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.582 * [taylor]: Taking taylor expansion of PI in n 5.582 * [taylor]: Taking taylor expansion of n in n 5.585 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.585 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.585 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.586 * [taylor]: Taking taylor expansion of 0.25 in n 5.586 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.586 * [taylor]: Taking taylor expansion of 1.0 in n 5.586 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.586 * [taylor]: Taking taylor expansion of k in n 5.586 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.586 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.586 * [taylor]: Taking taylor expansion of 2.0 in n 5.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.586 * [taylor]: Taking taylor expansion of PI in n 5.586 * [taylor]: Taking taylor expansion of n in n 5.590 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.590 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.590 * [taylor]: Taking taylor expansion of 0.25 in k 5.590 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.590 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.590 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.590 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.590 * [taylor]: Taking taylor expansion of 2.0 in k 5.590 * [taylor]: Taking taylor expansion of PI in k 5.591 * [taylor]: Taking taylor expansion of (log n) in k 5.591 * [taylor]: Taking taylor expansion of n in k 5.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.591 * [taylor]: Taking taylor expansion of 1.0 in k 5.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.591 * [taylor]: Taking taylor expansion of k in k 5.601 * [taylor]: Taking taylor expansion of 0 in k 5.615 * [taylor]: Taking taylor expansion of 0 in k 5.624 * [taylor]: Taking taylor expansion of 0 in k 5.625 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 5.625 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.625 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.625 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.625 * [taylor]: Taking taylor expansion of 0.25 in k 5.625 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.625 * [taylor]: Taking taylor expansion of k in k 5.626 * [taylor]: Taking taylor expansion of 1.0 in k 5.626 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.626 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.626 * [taylor]: Taking taylor expansion of -2.0 in k 5.626 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.626 * [taylor]: Taking taylor expansion of PI in k 5.626 * [taylor]: Taking taylor expansion of n in k 5.626 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.626 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.626 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.626 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.627 * [taylor]: Taking taylor expansion of 0.25 in n 5.627 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.627 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.627 * [taylor]: Taking taylor expansion of k in n 5.627 * [taylor]: Taking taylor expansion of 1.0 in n 5.627 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.627 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.627 * [taylor]: Taking taylor expansion of -2.0 in n 5.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.627 * [taylor]: Taking taylor expansion of PI in n 5.627 * [taylor]: Taking taylor expansion of n in n 5.630 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.630 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.630 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.630 * [taylor]: Taking taylor expansion of 0.25 in n 5.631 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.631 * [taylor]: Taking taylor expansion of k in n 5.631 * [taylor]: Taking taylor expansion of 1.0 in n 5.631 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.631 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.631 * [taylor]: Taking taylor expansion of -2.0 in n 5.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.631 * [taylor]: Taking taylor expansion of PI in n 5.631 * [taylor]: Taking taylor expansion of n in n 5.634 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.634 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.634 * [taylor]: Taking taylor expansion of 0.25 in k 5.634 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.634 * [taylor]: Taking taylor expansion of k in k 5.635 * [taylor]: Taking taylor expansion of 1.0 in k 5.635 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.635 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.635 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.635 * [taylor]: Taking taylor expansion of -2.0 in k 5.635 * [taylor]: Taking taylor expansion of PI in k 5.636 * [taylor]: Taking taylor expansion of (log n) in k 5.636 * [taylor]: Taking taylor expansion of n in k 5.645 * [taylor]: Taking taylor expansion of 0 in k 5.652 * [taylor]: Taking taylor expansion of 0 in k 5.661 * [taylor]: Taking taylor expansion of 0 in k 5.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.663 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 5.663 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.663 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.663 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.663 * [taylor]: Taking taylor expansion of 0.25 in k 5.663 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.663 * [taylor]: Taking taylor expansion of 1.0 in k 5.663 * [taylor]: Taking taylor expansion of k in k 5.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.663 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.663 * [taylor]: Taking taylor expansion of 2.0 in k 5.663 * [taylor]: Taking taylor expansion of (* n PI) in k 5.663 * [taylor]: Taking taylor expansion of n in k 5.663 * [taylor]: Taking taylor expansion of PI in k 5.664 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.664 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.664 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.664 * [taylor]: Taking taylor expansion of 0.25 in n 5.664 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.664 * [taylor]: Taking taylor expansion of 1.0 in n 5.664 * [taylor]: Taking taylor expansion of k in n 5.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.664 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.664 * [taylor]: Taking taylor expansion of 2.0 in n 5.664 * [taylor]: Taking taylor expansion of (* n PI) in n 5.664 * [taylor]: Taking taylor expansion of n in n 5.664 * [taylor]: Taking taylor expansion of PI in n 5.670 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.670 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.670 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.670 * [taylor]: Taking taylor expansion of 0.25 in n 5.670 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.670 * [taylor]: Taking taylor expansion of 1.0 in n 5.670 * [taylor]: Taking taylor expansion of k in n 5.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.670 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.670 * [taylor]: Taking taylor expansion of 2.0 in n 5.670 * [taylor]: Taking taylor expansion of (* n PI) in n 5.670 * [taylor]: Taking taylor expansion of n in n 5.670 * [taylor]: Taking taylor expansion of PI in n 5.676 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.676 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.676 * [taylor]: Taking taylor expansion of 0.25 in k 5.676 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.676 * [taylor]: Taking taylor expansion of 1.0 in k 5.676 * [taylor]: Taking taylor expansion of k in k 5.676 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.676 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.676 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.676 * [taylor]: Taking taylor expansion of 2.0 in k 5.676 * [taylor]: Taking taylor expansion of PI in k 5.677 * [taylor]: Taking taylor expansion of (log n) in k 5.677 * [taylor]: Taking taylor expansion of n in k 5.686 * [taylor]: Taking taylor expansion of 0 in k 5.708 * [taylor]: Taking taylor expansion of 0 in k 5.727 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 5.727 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.727 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.727 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.727 * [taylor]: Taking taylor expansion of 0.25 in k 5.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.728 * [taylor]: Taking taylor expansion of 1.0 in k 5.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.728 * [taylor]: Taking taylor expansion of k in k 5.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.728 * [taylor]: Taking taylor expansion of 2.0 in k 5.728 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.728 * [taylor]: Taking taylor expansion of PI in k 5.728 * [taylor]: Taking taylor expansion of n in k 5.729 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.729 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.729 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.729 * [taylor]: Taking taylor expansion of 0.25 in n 5.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.729 * [taylor]: Taking taylor expansion of 1.0 in n 5.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.729 * [taylor]: Taking taylor expansion of k in n 5.729 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.729 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.729 * [taylor]: Taking taylor expansion of 2.0 in n 5.729 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.729 * [taylor]: Taking taylor expansion of PI in n 5.729 * [taylor]: Taking taylor expansion of n in n 5.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.733 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.733 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.733 * [taylor]: Taking taylor expansion of 0.25 in n 5.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.733 * [taylor]: Taking taylor expansion of 1.0 in n 5.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.733 * [taylor]: Taking taylor expansion of k in n 5.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.733 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.733 * [taylor]: Taking taylor expansion of 2.0 in n 5.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.733 * [taylor]: Taking taylor expansion of PI in n 5.733 * [taylor]: Taking taylor expansion of n in n 5.737 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.737 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.737 * [taylor]: Taking taylor expansion of 0.25 in k 5.737 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.737 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.737 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.737 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.737 * [taylor]: Taking taylor expansion of 2.0 in k 5.737 * [taylor]: Taking taylor expansion of PI in k 5.738 * [taylor]: Taking taylor expansion of (log n) in k 5.738 * [taylor]: Taking taylor expansion of n in k 5.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.738 * [taylor]: Taking taylor expansion of 1.0 in k 5.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.738 * [taylor]: Taking taylor expansion of k in k 5.748 * [taylor]: Taking taylor expansion of 0 in k 5.755 * [taylor]: Taking taylor expansion of 0 in k 5.765 * [taylor]: Taking taylor expansion of 0 in k 5.766 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 5.766 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.766 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.766 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.766 * [taylor]: Taking taylor expansion of 0.25 in k 5.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.766 * [taylor]: Taking taylor expansion of k in k 5.767 * [taylor]: Taking taylor expansion of 1.0 in k 5.767 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.767 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.767 * [taylor]: Taking taylor expansion of -2.0 in k 5.767 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.767 * [taylor]: Taking taylor expansion of PI in k 5.767 * [taylor]: Taking taylor expansion of n in k 5.767 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.767 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.767 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.767 * [taylor]: Taking taylor expansion of 0.25 in n 5.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.768 * [taylor]: Taking taylor expansion of k in n 5.768 * [taylor]: Taking taylor expansion of 1.0 in n 5.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.768 * [taylor]: Taking taylor expansion of -2.0 in n 5.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.768 * [taylor]: Taking taylor expansion of PI in n 5.768 * [taylor]: Taking taylor expansion of n in n 5.771 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.771 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.771 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.771 * [taylor]: Taking taylor expansion of 0.25 in n 5.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.772 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.772 * [taylor]: Taking taylor expansion of k in n 5.772 * [taylor]: Taking taylor expansion of 1.0 in n 5.772 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.772 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.772 * [taylor]: Taking taylor expansion of -2.0 in n 5.772 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.772 * [taylor]: Taking taylor expansion of PI in n 5.772 * [taylor]: Taking taylor expansion of n in n 5.776 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.776 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.776 * [taylor]: Taking taylor expansion of 0.25 in k 5.776 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.776 * [taylor]: Taking taylor expansion of k in k 5.776 * [taylor]: Taking taylor expansion of 1.0 in k 5.776 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.776 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.776 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.776 * [taylor]: Taking taylor expansion of -2.0 in k 5.776 * [taylor]: Taking taylor expansion of PI in k 5.777 * [taylor]: Taking taylor expansion of (log n) in k 5.777 * [taylor]: Taking taylor expansion of n in k 5.792 * [taylor]: Taking taylor expansion of 0 in k 5.799 * [taylor]: Taking taylor expansion of 0 in k 5.808 * [taylor]: Taking taylor expansion of 0 in k 5.809 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.809 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.809 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.809 * [taylor]: Taking taylor expansion of 1.0 in k 5.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.809 * [taylor]: Taking taylor expansion of k in k 5.810 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.810 * [taylor]: Taking taylor expansion of 1.0 in k 5.810 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.810 * [taylor]: Taking taylor expansion of k in k 5.822 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.822 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.822 * [taylor]: Taking taylor expansion of 1.0 in k 5.822 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.822 * [taylor]: Taking taylor expansion of k in k 5.823 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.823 * [taylor]: Taking taylor expansion of 1.0 in k 5.823 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.823 * [taylor]: Taking taylor expansion of k in k 5.833 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.833 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.833 * [taylor]: Taking taylor expansion of 1.0 in k 5.833 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.833 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.833 * [taylor]: Taking taylor expansion of -1 in k 5.833 * [taylor]: Taking taylor expansion of k in k 5.835 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.835 * [taylor]: Taking taylor expansion of 1.0 in k 5.835 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.835 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.835 * [taylor]: Taking taylor expansion of -1 in k 5.835 * [taylor]: Taking taylor expansion of k in k 5.847 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.847 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.847 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.847 * [taylor]: Taking taylor expansion of 2.0 in n 5.847 * [taylor]: Taking taylor expansion of (* n PI) in n 5.847 * [taylor]: Taking taylor expansion of n in n 5.847 * [taylor]: Taking taylor expansion of PI in n 5.847 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.847 * [taylor]: Taking taylor expansion of 2.0 in n 5.847 * [taylor]: Taking taylor expansion of (* n PI) in n 5.847 * [taylor]: Taking taylor expansion of n in n 5.847 * [taylor]: Taking taylor expansion of PI in n 5.860 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.860 * [taylor]: Taking taylor expansion of 2.0 in n 5.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.860 * [taylor]: Taking taylor expansion of PI in n 5.860 * [taylor]: Taking taylor expansion of n in n 5.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.860 * [taylor]: Taking taylor expansion of 2.0 in n 5.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.860 * [taylor]: Taking taylor expansion of PI in n 5.860 * [taylor]: Taking taylor expansion of n in n 5.875 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.875 * [taylor]: Taking taylor expansion of -2.0 in n 5.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.875 * [taylor]: Taking taylor expansion of PI in n 5.875 * [taylor]: Taking taylor expansion of n in n 5.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.875 * [taylor]: Taking taylor expansion of -2.0 in n 5.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.876 * [taylor]: Taking taylor expansion of PI in n 5.876 * [taylor]: Taking taylor expansion of n in n 5.884 * * * [progress]: simplifying candidates 5.887 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (- (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 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2))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* 2.0 (* n PI)) (- 1.0 k)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 4)) (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) (* 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) (- (+ (+ (+ (* (* 0.03125 (pow k 2)) (* (pow (* 2.0 (* n PI)) 0.25) (pow (log (* 2.0 PI)) 2))) (pow (* 2.0 (* n PI)) 0.25)) (* (* (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.25)) (pow k 2)) 0.03125)) (* (* (* 0.0625 (pow k 2)) (* (log n) (pow (* 2.0 (* n PI)) 0.25))) (log (* 2.0 PI)))) (* (* 0.25 k) (+ (* (log n) (pow (* 2.0 (* n PI)) 0.25)) (* (pow (* 2.0 (* n PI)) 0.25) (log (* 2.0 PI)))))) (pow (pow (* 2.0 (* n PI)) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (+ (+ (* (* 0.03125 (pow k 2)) (* (pow (* 2.0 (* n PI)) 0.25) (pow (log (* 2.0 PI)) 2))) (pow (* 2.0 (* n PI)) 0.25)) (* (* (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.25)) (pow k 2)) 0.03125)) (* (* (* 0.0625 (pow k 2)) (* (log n) (pow (* 2.0 (* n PI)) 0.25))) (log (* 2.0 PI)))) (* (* 0.25 k) (+ (* (log n) (pow (* 2.0 (* n PI)) 0.25)) (* (pow (* 2.0 (* n PI)) 0.25) (log (* 2.0 PI)))))) (pow (pow (* 2.0 (* n PI)) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 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)) 6.879 * * * [progress]: adding candidates to table 7.637 * * [progress]: iteration 4 / 4 7.637 * * * [progress]: picking best candidate 7.663 * * * * [pick]: Picked # 7.664 * * * [progress]: localizing error 7.678 * * * [progress]: generating rewritten candidates 7.678 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.688 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.709 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.713 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.747 * * * [progress]: generating series expansions 7.747 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.748 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 7.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.748 * [taylor]: Taking taylor expansion of 0.5 in k 7.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.748 * [taylor]: Taking taylor expansion of 1.0 in k 7.748 * [taylor]: Taking taylor expansion of k in k 7.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.748 * [taylor]: Taking taylor expansion of 2.0 in k 7.748 * [taylor]: Taking taylor expansion of (* n PI) in k 7.748 * [taylor]: Taking taylor expansion of n in k 7.748 * [taylor]: Taking taylor expansion of PI in k 7.749 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.749 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.749 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.749 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.749 * [taylor]: Taking taylor expansion of 0.5 in n 7.749 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.749 * [taylor]: Taking taylor expansion of 1.0 in n 7.749 * [taylor]: Taking taylor expansion of k in n 7.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.749 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.749 * [taylor]: Taking taylor expansion of 2.0 in n 7.749 * [taylor]: Taking taylor expansion of (* n PI) in n 7.749 * [taylor]: Taking taylor expansion of n in n 7.749 * [taylor]: Taking taylor expansion of PI in n 7.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.755 * [taylor]: Taking taylor expansion of 0.5 in n 7.755 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.755 * [taylor]: Taking taylor expansion of 1.0 in n 7.755 * [taylor]: Taking taylor expansion of k in n 7.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.755 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.755 * [taylor]: Taking taylor expansion of 2.0 in n 7.755 * [taylor]: Taking taylor expansion of (* n PI) in n 7.755 * [taylor]: Taking taylor expansion of n in n 7.755 * [taylor]: Taking taylor expansion of PI in n 7.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.760 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.760 * [taylor]: Taking taylor expansion of 0.5 in k 7.760 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.760 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.760 * [taylor]: Taking taylor expansion of 1.0 in k 7.760 * [taylor]: Taking taylor expansion of k in k 7.760 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.760 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.760 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.760 * [taylor]: Taking taylor expansion of 2.0 in k 7.760 * [taylor]: Taking taylor expansion of PI in k 7.761 * [taylor]: Taking taylor expansion of (log n) in k 7.761 * [taylor]: Taking taylor expansion of n in k 7.777 * [taylor]: Taking taylor expansion of 0 in k 7.793 * [taylor]: Taking taylor expansion of 0 in k 7.811 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.811 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.812 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.812 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.812 * [taylor]: Taking taylor expansion of 0.5 in k 7.812 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.812 * [taylor]: Taking taylor expansion of 1.0 in k 7.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.812 * [taylor]: Taking taylor expansion of k in k 7.812 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.812 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.812 * [taylor]: Taking taylor expansion of 2.0 in k 7.812 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.812 * [taylor]: Taking taylor expansion of PI in k 7.812 * [taylor]: Taking taylor expansion of n in k 7.813 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.813 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.813 * [taylor]: Taking taylor expansion of 0.5 in n 7.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.813 * [taylor]: Taking taylor expansion of 1.0 in n 7.813 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.813 * [taylor]: Taking taylor expansion of k in n 7.813 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.813 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.813 * [taylor]: Taking taylor expansion of 2.0 in n 7.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.813 * [taylor]: Taking taylor expansion of PI in n 7.813 * [taylor]: Taking taylor expansion of n in n 7.817 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.817 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.817 * [taylor]: Taking taylor expansion of 0.5 in n 7.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.817 * [taylor]: Taking taylor expansion of 1.0 in n 7.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.817 * [taylor]: Taking taylor expansion of k in n 7.817 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.817 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.817 * [taylor]: Taking taylor expansion of 2.0 in n 7.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.817 * [taylor]: Taking taylor expansion of PI in n 7.817 * [taylor]: Taking taylor expansion of n in n 7.821 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 7.821 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 7.821 * [taylor]: Taking taylor expansion of 0.5 in k 7.821 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 7.821 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.821 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.821 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.821 * [taylor]: Taking taylor expansion of 2.0 in k 7.821 * [taylor]: Taking taylor expansion of PI in k 7.822 * [taylor]: Taking taylor expansion of (log n) in k 7.822 * [taylor]: Taking taylor expansion of n in k 7.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.822 * [taylor]: Taking taylor expansion of 1.0 in k 7.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.822 * [taylor]: Taking taylor expansion of k in k 7.832 * [taylor]: Taking taylor expansion of 0 in k 7.839 * [taylor]: Taking taylor expansion of 0 in k 7.848 * [taylor]: Taking taylor expansion of 0 in k 7.849 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.849 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.849 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.849 * [taylor]: Taking taylor expansion of 0.5 in k 7.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.849 * [taylor]: Taking taylor expansion of k in k 7.850 * [taylor]: Taking taylor expansion of 1.0 in k 7.850 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.850 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.850 * [taylor]: Taking taylor expansion of -2.0 in k 7.850 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.850 * [taylor]: Taking taylor expansion of PI in k 7.850 * [taylor]: Taking taylor expansion of n in k 7.851 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.851 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.851 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.851 * [taylor]: Taking taylor expansion of 0.5 in n 7.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.851 * [taylor]: Taking taylor expansion of k in n 7.851 * [taylor]: Taking taylor expansion of 1.0 in n 7.851 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.851 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.851 * [taylor]: Taking taylor expansion of -2.0 in n 7.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.851 * [taylor]: Taking taylor expansion of PI in n 7.851 * [taylor]: Taking taylor expansion of n in n 7.860 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.860 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.860 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.860 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.860 * [taylor]: Taking taylor expansion of 0.5 in n 7.860 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.860 * [taylor]: Taking taylor expansion of k in n 7.860 * [taylor]: Taking taylor expansion of 1.0 in n 7.860 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.860 * [taylor]: Taking taylor expansion of -2.0 in n 7.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.860 * [taylor]: Taking taylor expansion of PI in n 7.860 * [taylor]: Taking taylor expansion of n in n 7.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 7.864 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 7.864 * [taylor]: Taking taylor expansion of 0.5 in k 7.864 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 7.864 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.864 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.864 * [taylor]: Taking taylor expansion of k in k 7.864 * [taylor]: Taking taylor expansion of 1.0 in k 7.864 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.864 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.864 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.864 * [taylor]: Taking taylor expansion of -2.0 in k 7.864 * [taylor]: Taking taylor expansion of PI in k 7.865 * [taylor]: Taking taylor expansion of (log n) in k 7.865 * [taylor]: Taking taylor expansion of n in k 7.874 * [taylor]: Taking taylor expansion of 0 in k 7.881 * [taylor]: Taking taylor expansion of 0 in k 7.891 * [taylor]: Taking taylor expansion of 0 in k 7.892 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.892 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.892 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.892 * [taylor]: Taking taylor expansion of 1.0 in k 7.892 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.892 * [taylor]: Taking taylor expansion of k in k 7.893 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.893 * [taylor]: Taking taylor expansion of 1.0 in k 7.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.893 * [taylor]: Taking taylor expansion of k in k 7.905 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.905 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.905 * [taylor]: Taking taylor expansion of 1.0 in k 7.905 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.905 * [taylor]: Taking taylor expansion of k in k 7.906 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.906 * [taylor]: Taking taylor expansion of 1.0 in k 7.906 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.906 * [taylor]: Taking taylor expansion of k in k 7.916 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.916 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.916 * [taylor]: Taking taylor expansion of 1.0 in k 7.916 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.916 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.916 * [taylor]: Taking taylor expansion of -1 in k 7.916 * [taylor]: Taking taylor expansion of k in k 7.918 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.918 * [taylor]: Taking taylor expansion of 1.0 in k 7.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.918 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.918 * [taylor]: Taking taylor expansion of -1 in k 7.918 * [taylor]: Taking taylor expansion of k in k 7.930 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.930 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 7.930 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 7.930 * [taylor]: Taking taylor expansion of 1.0 in k 7.930 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.930 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.930 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.930 * [taylor]: Taking taylor expansion of 1/4 in k 7.930 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.930 * [taylor]: Taking taylor expansion of k in k 7.931 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 7.931 * [taylor]: Taking taylor expansion of 1.0 in k 7.931 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 7.931 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 7.931 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 7.931 * [taylor]: Taking taylor expansion of 1/4 in k 7.931 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 7.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.931 * [taylor]: Taking taylor expansion of k in k 7.993 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 7.994 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 7.994 * [taylor]: Taking taylor expansion of 1.0 in k 7.994 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.994 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.994 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.994 * [taylor]: Taking taylor expansion of 1/4 in k 7.994 * [taylor]: Taking taylor expansion of (log k) in k 7.994 * [taylor]: Taking taylor expansion of k in k 7.994 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 7.994 * [taylor]: Taking taylor expansion of 1.0 in k 7.994 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 7.994 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 7.994 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 7.994 * [taylor]: Taking taylor expansion of 1/4 in k 7.994 * [taylor]: Taking taylor expansion of (log k) in k 7.994 * [taylor]: Taking taylor expansion of k in k 8.054 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 8.054 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.054 * [taylor]: Taking taylor expansion of 1.0 in k 8.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.054 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.054 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.054 * [taylor]: Taking taylor expansion of -1 in k 8.054 * [taylor]: Taking taylor expansion of k in k 8.060 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.060 * [taylor]: Taking taylor expansion of 1.0 in k 8.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.060 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.060 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.060 * [taylor]: Taking taylor expansion of -1 in k 8.060 * [taylor]: Taking taylor expansion of k in k 8.103 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.103 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.103 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.103 * [taylor]: Taking taylor expansion of 2.0 in n 8.103 * [taylor]: Taking taylor expansion of (* n PI) in n 8.103 * [taylor]: Taking taylor expansion of n in n 8.103 * [taylor]: Taking taylor expansion of PI in n 8.103 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.103 * [taylor]: Taking taylor expansion of 2.0 in n 8.103 * [taylor]: Taking taylor expansion of (* n PI) in n 8.103 * [taylor]: Taking taylor expansion of n in n 8.103 * [taylor]: Taking taylor expansion of PI in n 8.116 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.116 * [taylor]: Taking taylor expansion of 2.0 in n 8.116 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.116 * [taylor]: Taking taylor expansion of PI in n 8.116 * [taylor]: Taking taylor expansion of n in n 8.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.116 * [taylor]: Taking taylor expansion of 2.0 in n 8.116 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.116 * [taylor]: Taking taylor expansion of PI in n 8.116 * [taylor]: Taking taylor expansion of n in n 8.125 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.125 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.125 * [taylor]: Taking taylor expansion of -2.0 in n 8.125 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.125 * [taylor]: Taking taylor expansion of PI in n 8.125 * [taylor]: Taking taylor expansion of n in n 8.126 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.126 * [taylor]: Taking taylor expansion of -2.0 in n 8.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.126 * [taylor]: Taking taylor expansion of PI in n 8.126 * [taylor]: Taking taylor expansion of n in n 8.134 * * * [progress]: simplifying candidates 8.142 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 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k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (* (* 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) (- (+ (* 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))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.175 * * [simplify]: iteration 0 : 558 enodes (cost 8953 ) 8.382 * * [simplify]: iteration 1 : 1336 enodes (cost 7629 ) 8.791 * * [simplify]: iteration 2 : 3715 enodes (cost 7054 ) 9.431 * * [simplify]: iteration done : 5000 enodes (cost 7049 ) 9.435 * [simplify]: Simplified to: (* (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) 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(sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (* 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) (* PI n) (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5)) (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.5)))) (pow (* 2.0 (* n PI)) 0.5)) (* (* 0.25 (* (pow k 2) (log (* 2.0 PI)))) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (* (* 0.5 k) (+ (* (log n) (pow (* 2.0 (* n PI)) 0.5)) (* (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))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (- (/ (/ +nan.0 (pow k 2)) (sqrt +nan.0)) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 9.439 * * * [progress]: adding candidates to table 10.343 * [progress]: [Phase 3 of 3] Extracting. 10.343 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.346 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 10.346 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 10.383 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 10.415 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # #) 10.456 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 10.492 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 10.529 * * * [regime]: Found split indices: #