13.337 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.080 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.081 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.082 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.086 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.094 * * [simplify]: iteration 3 : 114 enodes (cost 16 ) 0.116 * * [simplify]: iteration 4 : 300 enodes (cost 16 ) 0.181 * * [simplify]: iteration 5 : 849 enodes (cost 16 ) 0.521 * * [simplify]: iteration 6 : 3827 enodes (cost 16 ) 2.728 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.728 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.728 * * [progress]: iteration 1 / 4 2.728 * * * [progress]: picking best candidate 2.731 * * * * [pick]: Picked # 2.731 * * * [progress]: localizing error 2.748 * * * [progress]: generating rewritten candidates 2.748 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.751 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.761 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.767 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.791 * * * [progress]: generating series expansions 2.791 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.791 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.792 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.792 * [taylor]: Taking taylor expansion of 1.0 in k 2.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.792 * [taylor]: Taking taylor expansion of k in k 2.793 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.793 * [taylor]: Taking taylor expansion of 1.0 in k 2.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.794 * [taylor]: Taking taylor expansion of k in k 2.805 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.805 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.806 * [taylor]: Taking taylor expansion of 1.0 in k 2.806 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.806 * [taylor]: Taking taylor expansion of k in k 2.807 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.807 * [taylor]: Taking taylor expansion of 1.0 in k 2.807 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.807 * [taylor]: Taking taylor expansion of k in k 2.817 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.817 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.817 * [taylor]: Taking taylor expansion of 1.0 in k 2.817 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.817 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.817 * [taylor]: Taking taylor expansion of -1 in k 2.817 * [taylor]: Taking taylor expansion of k in k 2.819 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.819 * [taylor]: Taking taylor expansion of 1.0 in k 2.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.819 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.819 * [taylor]: Taking taylor expansion of -1 in k 2.819 * [taylor]: Taking taylor expansion of k in k 2.837 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.838 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.838 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.838 * [taylor]: Taking taylor expansion of 0.5 in k 2.838 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.838 * [taylor]: Taking taylor expansion of 1.0 in k 2.838 * [taylor]: Taking taylor expansion of k in k 2.838 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.838 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.838 * [taylor]: Taking taylor expansion of 2.0 in k 2.838 * [taylor]: Taking taylor expansion of (* n PI) in k 2.838 * [taylor]: Taking taylor expansion of n in k 2.838 * [taylor]: Taking taylor expansion of PI in k 2.839 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.839 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.839 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.839 * [taylor]: Taking taylor expansion of 0.5 in n 2.839 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.839 * [taylor]: Taking taylor expansion of 1.0 in n 2.839 * [taylor]: Taking taylor expansion of k in n 2.839 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.839 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.839 * [taylor]: Taking taylor expansion of 2.0 in n 2.839 * [taylor]: Taking taylor expansion of (* n PI) in n 2.839 * [taylor]: Taking taylor expansion of n in n 2.839 * [taylor]: Taking taylor expansion of PI in n 2.845 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.845 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.845 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.845 * [taylor]: Taking taylor expansion of 0.5 in n 2.845 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.845 * [taylor]: Taking taylor expansion of 1.0 in n 2.845 * [taylor]: Taking taylor expansion of k in n 2.845 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.845 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.845 * [taylor]: Taking taylor expansion of 2.0 in n 2.845 * [taylor]: Taking taylor expansion of (* n PI) in n 2.845 * [taylor]: Taking taylor expansion of n in n 2.845 * [taylor]: Taking taylor expansion of PI in n 2.850 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.850 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.850 * [taylor]: Taking taylor expansion of 0.5 in k 2.850 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.851 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.851 * [taylor]: Taking taylor expansion of 1.0 in k 2.851 * [taylor]: Taking taylor expansion of k in k 2.851 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.851 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.851 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.851 * [taylor]: Taking taylor expansion of 2.0 in k 2.851 * [taylor]: Taking taylor expansion of PI in k 2.852 * [taylor]: Taking taylor expansion of (log n) in k 2.852 * [taylor]: Taking taylor expansion of n in k 2.861 * [taylor]: Taking taylor expansion of 0 in k 2.877 * [taylor]: Taking taylor expansion of 0 in k 2.897 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.897 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.897 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.897 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.897 * [taylor]: Taking taylor expansion of 0.5 in k 2.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.897 * [taylor]: Taking taylor expansion of 1.0 in k 2.897 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.897 * [taylor]: Taking taylor expansion of k in k 2.897 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.897 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.897 * [taylor]: Taking taylor expansion of 2.0 in k 2.897 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.897 * [taylor]: Taking taylor expansion of PI in k 2.897 * [taylor]: Taking taylor expansion of n in k 2.898 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.898 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.898 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.898 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.898 * [taylor]: Taking taylor expansion of 0.5 in n 2.898 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.899 * [taylor]: Taking taylor expansion of 1.0 in n 2.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.899 * [taylor]: Taking taylor expansion of k in n 2.899 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.899 * [taylor]: Taking taylor expansion of 2.0 in n 2.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.899 * [taylor]: Taking taylor expansion of PI in n 2.899 * [taylor]: Taking taylor expansion of n in n 2.902 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.902 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.902 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.903 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.903 * [taylor]: Taking taylor expansion of 0.5 in n 2.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.903 * [taylor]: Taking taylor expansion of 1.0 in n 2.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.903 * [taylor]: Taking taylor expansion of k in n 2.903 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.903 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.903 * [taylor]: Taking taylor expansion of 2.0 in n 2.903 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.903 * [taylor]: Taking taylor expansion of PI in n 2.903 * [taylor]: Taking taylor expansion of n in n 2.906 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.907 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.907 * [taylor]: Taking taylor expansion of 0.5 in k 2.907 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.907 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.907 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.907 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.907 * [taylor]: Taking taylor expansion of 2.0 in k 2.907 * [taylor]: Taking taylor expansion of PI in k 2.908 * [taylor]: Taking taylor expansion of (log n) in k 2.908 * [taylor]: Taking taylor expansion of n in k 2.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.908 * [taylor]: Taking taylor expansion of 1.0 in k 2.908 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.908 * [taylor]: Taking taylor expansion of k in k 2.923 * [taylor]: Taking taylor expansion of 0 in k 2.930 * [taylor]: Taking taylor expansion of 0 in k 2.940 * [taylor]: Taking taylor expansion of 0 in k 2.941 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.941 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.941 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.941 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.941 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.941 * [taylor]: Taking taylor expansion of 0.5 in k 2.941 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.941 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.941 * [taylor]: Taking taylor expansion of k in k 2.942 * [taylor]: Taking taylor expansion of 1.0 in k 2.942 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.942 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.942 * [taylor]: Taking taylor expansion of -2.0 in k 2.942 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.942 * [taylor]: Taking taylor expansion of PI in k 2.942 * [taylor]: Taking taylor expansion of n in k 2.943 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.943 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.943 * [taylor]: Taking taylor expansion of 0.5 in n 2.943 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.943 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.943 * [taylor]: Taking taylor expansion of k in n 2.943 * [taylor]: Taking taylor expansion of 1.0 in n 2.943 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.943 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.943 * [taylor]: Taking taylor expansion of -2.0 in n 2.943 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.943 * [taylor]: Taking taylor expansion of PI in n 2.943 * [taylor]: Taking taylor expansion of n in n 2.947 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.947 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.947 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.947 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.947 * [taylor]: Taking taylor expansion of 0.5 in n 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.947 * [taylor]: Taking taylor expansion of k in n 2.947 * [taylor]: Taking taylor expansion of 1.0 in n 2.947 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.947 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.947 * [taylor]: Taking taylor expansion of -2.0 in n 2.947 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.947 * [taylor]: Taking taylor expansion of PI in n 2.947 * [taylor]: Taking taylor expansion of n in n 2.951 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.951 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.951 * [taylor]: Taking taylor expansion of 0.5 in k 2.951 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.951 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.951 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.951 * [taylor]: Taking taylor expansion of k in k 2.951 * [taylor]: Taking taylor expansion of 1.0 in k 2.951 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.951 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.951 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.951 * [taylor]: Taking taylor expansion of -2.0 in k 2.951 * [taylor]: Taking taylor expansion of PI in k 2.952 * [taylor]: Taking taylor expansion of (log n) in k 2.952 * [taylor]: Taking taylor expansion of n in k 2.962 * [taylor]: Taking taylor expansion of 0 in k 2.969 * [taylor]: Taking taylor expansion of 0 in k 2.978 * [taylor]: Taking taylor expansion of 0 in k 2.979 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.980 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.980 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.980 * [taylor]: Taking taylor expansion of 2.0 in n 2.980 * [taylor]: Taking taylor expansion of (* n PI) in n 2.980 * [taylor]: Taking taylor expansion of n in n 2.980 * [taylor]: Taking taylor expansion of PI in n 2.980 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.980 * [taylor]: Taking taylor expansion of 2.0 in n 2.980 * [taylor]: Taking taylor expansion of (* n PI) in n 2.980 * [taylor]: Taking taylor expansion of n in n 2.980 * [taylor]: Taking taylor expansion of PI in n 2.993 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.993 * [taylor]: Taking taylor expansion of 2.0 in n 2.993 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.993 * [taylor]: Taking taylor expansion of PI in n 2.993 * [taylor]: Taking taylor expansion of n in n 2.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.993 * [taylor]: Taking taylor expansion of 2.0 in n 2.993 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.993 * [taylor]: Taking taylor expansion of PI in n 2.993 * [taylor]: Taking taylor expansion of n in n 3.006 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.007 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.007 * [taylor]: Taking taylor expansion of -2.0 in n 3.007 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.007 * [taylor]: Taking taylor expansion of PI in n 3.007 * [taylor]: Taking taylor expansion of n in n 3.007 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.007 * [taylor]: Taking taylor expansion of -2.0 in n 3.007 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.007 * [taylor]: Taking taylor expansion of PI in n 3.007 * [taylor]: Taking taylor expansion of n in n 3.017 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.017 * [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 3.017 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 3.017 * [taylor]: Taking taylor expansion of 1.0 in n 3.017 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 3.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.017 * [taylor]: Taking taylor expansion of k in n 3.018 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.018 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.018 * [taylor]: Taking taylor expansion of 0.5 in n 3.018 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.018 * [taylor]: Taking taylor expansion of 1.0 in n 3.018 * [taylor]: Taking taylor expansion of k in n 3.018 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.018 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.018 * [taylor]: Taking taylor expansion of 2.0 in n 3.018 * [taylor]: Taking taylor expansion of (* n PI) in n 3.018 * [taylor]: Taking taylor expansion of n in n 3.018 * [taylor]: Taking taylor expansion of PI in n 3.024 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.024 * [taylor]: Taking taylor expansion of 1.0 in k 3.024 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.024 * [taylor]: Taking taylor expansion of k in k 3.025 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.025 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.025 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.025 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.025 * [taylor]: Taking taylor expansion of 0.5 in k 3.025 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.025 * [taylor]: Taking taylor expansion of 1.0 in k 3.025 * [taylor]: Taking taylor expansion of k in k 3.025 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.025 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.025 * [taylor]: Taking taylor expansion of 2.0 in k 3.025 * [taylor]: Taking taylor expansion of (* n PI) in k 3.025 * [taylor]: Taking taylor expansion of n in k 3.025 * [taylor]: Taking taylor expansion of PI in k 3.026 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.026 * [taylor]: Taking taylor expansion of 1.0 in k 3.026 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.026 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.026 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.026 * [taylor]: Taking taylor expansion of k in k 3.028 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.028 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.028 * [taylor]: Taking taylor expansion of 0.5 in k 3.028 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.028 * [taylor]: Taking taylor expansion of 1.0 in k 3.028 * [taylor]: Taking taylor expansion of k in k 3.028 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.028 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.028 * [taylor]: Taking taylor expansion of 2.0 in k 3.028 * [taylor]: Taking taylor expansion of (* n PI) in k 3.028 * [taylor]: Taking taylor expansion of n in k 3.028 * [taylor]: Taking taylor expansion of PI in k 3.029 * [taylor]: Taking taylor expansion of 0 in n 3.035 * [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 3.035 * [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 3.035 * [taylor]: Taking taylor expansion of +nan.0 in n 3.035 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.035 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.035 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.035 * [taylor]: Taking taylor expansion of 0.5 in n 3.035 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.035 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.035 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.035 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.035 * [taylor]: Taking taylor expansion of 1.0 in n 3.035 * [taylor]: Taking taylor expansion of (log PI) in n 3.035 * [taylor]: Taking taylor expansion of PI in n 3.037 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.037 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.037 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.037 * [taylor]: Taking taylor expansion of 1.0 in n 3.037 * [taylor]: Taking taylor expansion of (log n) in n 3.037 * [taylor]: Taking taylor expansion of n in n 3.038 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.038 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.038 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.038 * [taylor]: Taking taylor expansion of 1.0 in n 3.038 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.038 * [taylor]: Taking taylor expansion of 2.0 in n 3.058 * [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 3.058 * [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 3.058 * [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 3.058 * [taylor]: Taking taylor expansion of +nan.0 in n 3.058 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.058 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.058 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.058 * [taylor]: Taking taylor expansion of 0.5 in n 3.058 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.058 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.058 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.058 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.058 * [taylor]: Taking taylor expansion of 1.0 in n 3.058 * [taylor]: Taking taylor expansion of (log PI) in n 3.058 * [taylor]: Taking taylor expansion of PI in n 3.060 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.060 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.060 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.060 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.060 * [taylor]: Taking taylor expansion of 1.0 in n 3.060 * [taylor]: Taking taylor expansion of (log n) in n 3.060 * [taylor]: Taking taylor expansion of n in n 3.061 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.061 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.061 * [taylor]: Taking taylor expansion of 1.0 in n 3.061 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.061 * [taylor]: Taking taylor expansion of 2.0 in n 3.066 * [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 3.066 * [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 3.066 * [taylor]: Taking taylor expansion of +nan.0 in n 3.066 * [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 3.066 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.066 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.066 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.066 * [taylor]: Taking taylor expansion of 0.5 in n 3.066 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.066 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.066 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.066 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.066 * [taylor]: Taking taylor expansion of 1.0 in n 3.066 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.067 * [taylor]: Taking taylor expansion of 2.0 in n 3.068 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.068 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.068 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.068 * [taylor]: Taking taylor expansion of 1.0 in n 3.068 * [taylor]: Taking taylor expansion of (log PI) in n 3.068 * [taylor]: Taking taylor expansion of PI in n 3.070 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.070 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.070 * [taylor]: Taking taylor expansion of 1.0 in n 3.070 * [taylor]: Taking taylor expansion of (log n) in n 3.070 * [taylor]: Taking taylor expansion of n in n 3.075 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.075 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.075 * [taylor]: Taking taylor expansion of 2.0 in n 3.075 * [taylor]: Taking taylor expansion of (* n PI) in n 3.075 * [taylor]: Taking taylor expansion of n in n 3.075 * [taylor]: Taking taylor expansion of PI in n 3.131 * [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 3.131 * [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 3.131 * [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 3.131 * [taylor]: Taking taylor expansion of +nan.0 in n 3.131 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.131 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.131 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.131 * [taylor]: Taking taylor expansion of 0.5 in n 3.131 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.131 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.131 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.131 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.131 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.131 * [taylor]: Taking taylor expansion of 1.0 in n 3.131 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.131 * [taylor]: Taking taylor expansion of 2.0 in n 3.133 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.133 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.133 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.133 * [taylor]: Taking taylor expansion of 1.0 in n 3.133 * [taylor]: Taking taylor expansion of (log n) in n 3.133 * [taylor]: Taking taylor expansion of n in n 3.134 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.134 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.134 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.134 * [taylor]: Taking taylor expansion of 1.0 in n 3.134 * [taylor]: Taking taylor expansion of (log PI) in n 3.134 * [taylor]: Taking taylor expansion of PI in n 3.139 * [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 3.139 * [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 3.139 * [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 3.139 * [taylor]: Taking taylor expansion of +nan.0 in n 3.139 * [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 3.139 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.139 * [taylor]: Taking taylor expansion of 0.5 in n 3.139 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.139 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.139 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.140 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.140 * [taylor]: Taking taylor expansion of 1.0 in n 3.140 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.140 * [taylor]: Taking taylor expansion of 2.0 in n 3.141 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.141 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.141 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.141 * [taylor]: Taking taylor expansion of 1.0 in n 3.141 * [taylor]: Taking taylor expansion of (log PI) in n 3.141 * [taylor]: Taking taylor expansion of PI in n 3.143 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.143 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.144 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.144 * [taylor]: Taking taylor expansion of 1.0 in n 3.144 * [taylor]: Taking taylor expansion of (log n) in n 3.144 * [taylor]: Taking taylor expansion of n in n 3.148 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.148 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.148 * [taylor]: Taking taylor expansion of 2.0 in n 3.148 * [taylor]: Taking taylor expansion of (* n PI) in n 3.148 * [taylor]: Taking taylor expansion of n in n 3.148 * [taylor]: Taking taylor expansion of PI in n 3.151 * [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 3.151 * [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 3.151 * [taylor]: Taking taylor expansion of +nan.0 in n 3.151 * [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 3.151 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.151 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.151 * [taylor]: Taking taylor expansion of 0.5 in n 3.151 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.151 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.151 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.151 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.151 * [taylor]: Taking taylor expansion of 1.0 in n 3.151 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.151 * [taylor]: Taking taylor expansion of 2.0 in n 3.153 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.153 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.153 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.153 * [taylor]: Taking taylor expansion of 1.0 in n 3.153 * [taylor]: Taking taylor expansion of (log PI) in n 3.153 * [taylor]: Taking taylor expansion of PI in n 3.155 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.155 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.155 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.155 * [taylor]: Taking taylor expansion of 1.0 in n 3.155 * [taylor]: Taking taylor expansion of (log n) in n 3.155 * [taylor]: Taking taylor expansion of n in n 3.159 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.160 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.160 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.160 * [taylor]: Taking taylor expansion of 2.0 in n 3.160 * [taylor]: Taking taylor expansion of (* n PI) in n 3.160 * [taylor]: Taking taylor expansion of n in n 3.160 * [taylor]: Taking taylor expansion of PI in n 3.239 * [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 3.239 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.239 * [taylor]: Taking taylor expansion of 1.0 in n 3.239 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.239 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.239 * [taylor]: Taking taylor expansion of k in n 3.239 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.239 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.240 * [taylor]: Taking taylor expansion of 0.5 in n 3.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.240 * [taylor]: Taking taylor expansion of 1.0 in n 3.240 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.240 * [taylor]: Taking taylor expansion of k in n 3.240 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.240 * [taylor]: Taking taylor expansion of 2.0 in n 3.240 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.240 * [taylor]: Taking taylor expansion of PI in n 3.240 * [taylor]: Taking taylor expansion of n in n 3.243 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.243 * [taylor]: Taking taylor expansion of 1.0 in k 3.243 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.244 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.244 * [taylor]: Taking taylor expansion of k in k 3.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.245 * [taylor]: Taking taylor expansion of 0.5 in k 3.245 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.245 * [taylor]: Taking taylor expansion of 1.0 in k 3.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.245 * [taylor]: Taking taylor expansion of k in k 3.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.245 * [taylor]: Taking taylor expansion of 2.0 in k 3.245 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.245 * [taylor]: Taking taylor expansion of PI in k 3.245 * [taylor]: Taking taylor expansion of n in k 3.246 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.246 * [taylor]: Taking taylor expansion of 1.0 in k 3.246 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.246 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.246 * [taylor]: Taking taylor expansion of k in k 3.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.248 * [taylor]: Taking taylor expansion of 0.5 in k 3.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.248 * [taylor]: Taking taylor expansion of 1.0 in k 3.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.248 * [taylor]: Taking taylor expansion of k in k 3.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.248 * [taylor]: Taking taylor expansion of 2.0 in k 3.248 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.248 * [taylor]: Taking taylor expansion of PI in k 3.248 * [taylor]: Taking taylor expansion of n in k 3.249 * [taylor]: Taking taylor expansion of 0 in n 3.250 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.250 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.250 * [taylor]: Taking taylor expansion of +nan.0 in n 3.250 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.250 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.250 * [taylor]: Taking taylor expansion of 0.5 in n 3.250 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.250 * [taylor]: Taking taylor expansion of 2.0 in n 3.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.250 * [taylor]: Taking taylor expansion of PI in n 3.250 * [taylor]: Taking taylor expansion of n in n 3.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.252 * [taylor]: Taking taylor expansion of 1.0 in n 3.252 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.252 * [taylor]: Taking taylor expansion of k in n 3.261 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.261 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.261 * [taylor]: Taking taylor expansion of +nan.0 in n 3.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.261 * [taylor]: Taking taylor expansion of 0.5 in n 3.261 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.261 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.261 * [taylor]: Taking taylor expansion of 2.0 in n 3.261 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.261 * [taylor]: Taking taylor expansion of PI in n 3.261 * [taylor]: Taking taylor expansion of n in n 3.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.262 * [taylor]: Taking taylor expansion of 1.0 in n 3.262 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.262 * [taylor]: Taking taylor expansion of k in n 3.284 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.284 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.284 * [taylor]: Taking taylor expansion of +nan.0 in n 3.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.284 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.284 * [taylor]: Taking taylor expansion of 0.5 in n 3.284 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.284 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.284 * [taylor]: Taking taylor expansion of 2.0 in n 3.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.284 * [taylor]: Taking taylor expansion of PI in n 3.284 * [taylor]: Taking taylor expansion of n in n 3.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.285 * [taylor]: Taking taylor expansion of 1.0 in n 3.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.285 * [taylor]: Taking taylor expansion of k in n 3.294 * [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 3.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.294 * [taylor]: Taking taylor expansion of 1.0 in n 3.294 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.294 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.294 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.294 * [taylor]: Taking taylor expansion of 0.5 in n 3.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.294 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.294 * [taylor]: Taking taylor expansion of k in n 3.295 * [taylor]: Taking taylor expansion of 1.0 in n 3.295 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.295 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.295 * [taylor]: Taking taylor expansion of -2.0 in n 3.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.295 * [taylor]: Taking taylor expansion of PI in n 3.295 * [taylor]: Taking taylor expansion of n in n 3.298 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.298 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.298 * [taylor]: Taking taylor expansion of -1 in n 3.298 * [taylor]: Taking taylor expansion of k in n 3.299 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.299 * [taylor]: Taking taylor expansion of 1.0 in k 3.299 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.299 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.299 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.299 * [taylor]: Taking taylor expansion of 0.5 in k 3.299 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.300 * [taylor]: Taking taylor expansion of k in k 3.300 * [taylor]: Taking taylor expansion of 1.0 in k 3.300 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.300 * [taylor]: Taking taylor expansion of -2.0 in k 3.300 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.300 * [taylor]: Taking taylor expansion of PI in k 3.300 * [taylor]: Taking taylor expansion of n in k 3.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.301 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.301 * [taylor]: Taking taylor expansion of -1 in k 3.301 * [taylor]: Taking taylor expansion of k in k 3.302 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.302 * [taylor]: Taking taylor expansion of 1.0 in k 3.302 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.302 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.302 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.302 * [taylor]: Taking taylor expansion of 0.5 in k 3.302 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.302 * [taylor]: Taking taylor expansion of k in k 3.303 * [taylor]: Taking taylor expansion of 1.0 in k 3.303 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.303 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.303 * [taylor]: Taking taylor expansion of -2.0 in k 3.303 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.303 * [taylor]: Taking taylor expansion of PI in k 3.303 * [taylor]: Taking taylor expansion of n in k 3.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.304 * [taylor]: Taking taylor expansion of -1 in k 3.304 * [taylor]: Taking taylor expansion of k in k 3.305 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.305 * [taylor]: Taking taylor expansion of +nan.0 in n 3.305 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.305 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.305 * [taylor]: Taking taylor expansion of 0.5 in n 3.305 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.305 * [taylor]: Taking taylor expansion of k in n 3.306 * [taylor]: Taking taylor expansion of 1.0 in n 3.306 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.306 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.306 * [taylor]: Taking taylor expansion of -2.0 in n 3.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.306 * [taylor]: Taking taylor expansion of PI in n 3.306 * [taylor]: Taking taylor expansion of n in n 3.315 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.315 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.315 * [taylor]: Taking taylor expansion of +nan.0 in n 3.315 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.315 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.315 * [taylor]: Taking taylor expansion of 0.5 in n 3.315 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.315 * [taylor]: Taking taylor expansion of k in n 3.315 * [taylor]: Taking taylor expansion of 1.0 in n 3.315 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.315 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.315 * [taylor]: Taking taylor expansion of -2.0 in n 3.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.315 * [taylor]: Taking taylor expansion of PI in n 3.315 * [taylor]: Taking taylor expansion of n in n 3.334 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.334 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.334 * [taylor]: Taking taylor expansion of +nan.0 in n 3.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.334 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.334 * [taylor]: Taking taylor expansion of 0.5 in n 3.334 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.334 * [taylor]: Taking taylor expansion of k in n 3.334 * [taylor]: Taking taylor expansion of 1.0 in n 3.334 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.334 * [taylor]: Taking taylor expansion of -2.0 in n 3.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.334 * [taylor]: Taking taylor expansion of PI in n 3.334 * [taylor]: Taking taylor expansion of n in n 3.344 * * * [progress]: simplifying candidates 3.346 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 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 (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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(/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* PI n) 2.0) 0.5)) (* (pow (log n) 2) (pow (* (* PI n) 2.0) 0.5)))) (- (+ (* (* 0.25 (pow k 2)) (* (pow (* (* PI n) 2.0) 0.5) (* (log (* 2.0 PI)) (log n)))) (pow (* (* PI n) 2.0) 0.5)) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* (* PI n) 2.0) 0.5)) (* (log n) (pow (* (* PI n) 2.0) 0.5)))))) (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (- (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (* +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 (* (* PI n) 2.0) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* +nan.0 (pow (pow (* (* PI n) 2.0) 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))) 4.522 * * * [progress]: adding candidates to table 4.924 * * [progress]: iteration 2 / 4 4.924 * * * [progress]: picking best candidate 4.959 * * * * [pick]: Picked # 4.959 * * * [progress]: localizing error 4.974 * * * [progress]: generating rewritten candidates 4.974 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.981 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.990 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 5.001 * * * [progress]: generating series expansions 5.001 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.001 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.001 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.001 * [taylor]: Taking taylor expansion of 1.0 in k 5.001 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.001 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.001 * [taylor]: Taking taylor expansion of k in k 5.003 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.003 * [taylor]: Taking taylor expansion of 1.0 in k 5.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.003 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.003 * [taylor]: Taking taylor expansion of k in k 5.015 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.016 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.016 * [taylor]: Taking taylor expansion of 1.0 in k 5.016 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.016 * [taylor]: Taking taylor expansion of k in k 5.017 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.017 * [taylor]: Taking taylor expansion of 1.0 in k 5.017 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.017 * [taylor]: Taking taylor expansion of k in k 5.028 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.028 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.028 * [taylor]: Taking taylor expansion of 1.0 in k 5.028 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.028 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.028 * [taylor]: Taking taylor expansion of -1 in k 5.028 * [taylor]: Taking taylor expansion of k in k 5.030 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.030 * [taylor]: Taking taylor expansion of 1.0 in k 5.030 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.030 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.030 * [taylor]: Taking taylor expansion of -1 in k 5.030 * [taylor]: Taking taylor expansion of k in k 5.046 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.046 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.046 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.046 * [taylor]: Taking taylor expansion of 1.0 in k 5.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.046 * [taylor]: Taking taylor expansion of k in k 5.047 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.047 * [taylor]: Taking taylor expansion of 1.0 in k 5.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.047 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.047 * [taylor]: Taking taylor expansion of k in k 5.059 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.059 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.059 * [taylor]: Taking taylor expansion of 1.0 in k 5.059 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.059 * [taylor]: Taking taylor expansion of k in k 5.060 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.060 * [taylor]: Taking taylor expansion of 1.0 in k 5.060 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.060 * [taylor]: Taking taylor expansion of k in k 5.071 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.071 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.071 * [taylor]: Taking taylor expansion of 1.0 in k 5.071 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.071 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.071 * [taylor]: Taking taylor expansion of -1 in k 5.071 * [taylor]: Taking taylor expansion of k in k 5.073 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.073 * [taylor]: Taking taylor expansion of 1.0 in k 5.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.073 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.073 * [taylor]: Taking taylor expansion of -1 in k 5.073 * [taylor]: Taking taylor expansion of k in k 5.085 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 5.086 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.086 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.086 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.086 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.086 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.086 * [taylor]: Taking taylor expansion of 0.5 in k 5.086 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.086 * [taylor]: Taking taylor expansion of 1.0 in k 5.086 * [taylor]: Taking taylor expansion of k in k 5.086 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.086 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.086 * [taylor]: Taking taylor expansion of 2.0 in k 5.086 * [taylor]: Taking taylor expansion of (* n PI) in k 5.086 * [taylor]: Taking taylor expansion of n in k 5.086 * [taylor]: Taking taylor expansion of PI in k 5.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.087 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.087 * [taylor]: Taking taylor expansion of 0.5 in n 5.087 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.087 * [taylor]: Taking taylor expansion of 1.0 in n 5.087 * [taylor]: Taking taylor expansion of k in n 5.087 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.087 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.087 * [taylor]: Taking taylor expansion of 2.0 in n 5.087 * [taylor]: Taking taylor expansion of (* n PI) in n 5.087 * [taylor]: Taking taylor expansion of n in n 5.087 * [taylor]: Taking taylor expansion of PI in n 5.093 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.093 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.093 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.093 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.093 * [taylor]: Taking taylor expansion of 0.5 in n 5.093 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.093 * [taylor]: Taking taylor expansion of 1.0 in n 5.093 * [taylor]: Taking taylor expansion of k in n 5.093 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.093 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.093 * [taylor]: Taking taylor expansion of 2.0 in n 5.093 * [taylor]: Taking taylor expansion of (* n PI) in n 5.093 * [taylor]: Taking taylor expansion of n in n 5.093 * [taylor]: Taking taylor expansion of PI in n 5.098 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.098 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.098 * [taylor]: Taking taylor expansion of 0.5 in k 5.098 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.099 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.099 * [taylor]: Taking taylor expansion of 1.0 in k 5.099 * [taylor]: Taking taylor expansion of k in k 5.099 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.099 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.099 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.099 * [taylor]: Taking taylor expansion of 2.0 in k 5.099 * [taylor]: Taking taylor expansion of PI in k 5.100 * [taylor]: Taking taylor expansion of (log n) in k 5.100 * [taylor]: Taking taylor expansion of n in k 5.109 * [taylor]: Taking taylor expansion of 0 in k 5.127 * [taylor]: Taking taylor expansion of 0 in k 5.150 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.150 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.150 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.150 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.150 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.150 * [taylor]: Taking taylor expansion of 0.5 in k 5.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.150 * [taylor]: Taking taylor expansion of 1.0 in k 5.150 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.150 * [taylor]: Taking taylor expansion of k in k 5.151 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.151 * [taylor]: Taking taylor expansion of 2.0 in k 5.151 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.151 * [taylor]: Taking taylor expansion of PI in k 5.151 * [taylor]: Taking taylor expansion of n in k 5.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.152 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.152 * [taylor]: Taking taylor expansion of 0.5 in n 5.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.152 * [taylor]: Taking taylor expansion of 1.0 in n 5.152 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.152 * [taylor]: Taking taylor expansion of k in n 5.152 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.152 * [taylor]: Taking taylor expansion of 2.0 in n 5.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.152 * [taylor]: Taking taylor expansion of PI in n 5.152 * [taylor]: Taking taylor expansion of n in n 5.156 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.156 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.156 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.156 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.156 * [taylor]: Taking taylor expansion of 0.5 in n 5.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.156 * [taylor]: Taking taylor expansion of 1.0 in n 5.156 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.156 * [taylor]: Taking taylor expansion of k in n 5.156 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.156 * [taylor]: Taking taylor expansion of 2.0 in n 5.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.156 * [taylor]: Taking taylor expansion of PI in n 5.156 * [taylor]: Taking taylor expansion of n in n 5.160 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.160 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.160 * [taylor]: Taking taylor expansion of 0.5 in k 5.160 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.160 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.160 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.160 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.160 * [taylor]: Taking taylor expansion of 2.0 in k 5.160 * [taylor]: Taking taylor expansion of PI in k 5.161 * [taylor]: Taking taylor expansion of (log n) in k 5.161 * [taylor]: Taking taylor expansion of n in k 5.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.161 * [taylor]: Taking taylor expansion of 1.0 in k 5.161 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.161 * [taylor]: Taking taylor expansion of k in k 5.171 * [taylor]: Taking taylor expansion of 0 in k 5.178 * [taylor]: Taking taylor expansion of 0 in k 5.188 * [taylor]: Taking taylor expansion of 0 in k 5.189 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.189 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.189 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.189 * [taylor]: Taking taylor expansion of 0.5 in k 5.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.189 * [taylor]: Taking taylor expansion of k in k 5.190 * [taylor]: Taking taylor expansion of 1.0 in k 5.190 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.190 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.190 * [taylor]: Taking taylor expansion of -2.0 in k 5.190 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.190 * [taylor]: Taking taylor expansion of PI in k 5.190 * [taylor]: Taking taylor expansion of n in k 5.191 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.191 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.191 * [taylor]: Taking taylor expansion of 0.5 in n 5.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.191 * [taylor]: Taking taylor expansion of k in n 5.191 * [taylor]: Taking taylor expansion of 1.0 in n 5.191 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.191 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.191 * [taylor]: Taking taylor expansion of -2.0 in n 5.191 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.191 * [taylor]: Taking taylor expansion of PI in n 5.191 * [taylor]: Taking taylor expansion of n in n 5.195 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.195 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.195 * [taylor]: Taking taylor expansion of 0.5 in n 5.195 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.195 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.195 * [taylor]: Taking taylor expansion of k in n 5.195 * [taylor]: Taking taylor expansion of 1.0 in n 5.195 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.195 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.195 * [taylor]: Taking taylor expansion of -2.0 in n 5.195 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.195 * [taylor]: Taking taylor expansion of PI in n 5.195 * [taylor]: Taking taylor expansion of n in n 5.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.200 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.200 * [taylor]: Taking taylor expansion of 0.5 in k 5.200 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.200 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.200 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.200 * [taylor]: Taking taylor expansion of k in k 5.200 * [taylor]: Taking taylor expansion of 1.0 in k 5.200 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.200 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.200 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.200 * [taylor]: Taking taylor expansion of -2.0 in k 5.200 * [taylor]: Taking taylor expansion of PI in k 5.201 * [taylor]: Taking taylor expansion of (log n) in k 5.201 * [taylor]: Taking taylor expansion of n in k 5.210 * [taylor]: Taking taylor expansion of 0 in k 5.221 * [taylor]: Taking taylor expansion of 0 in k 5.231 * [taylor]: Taking taylor expansion of 0 in k 5.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 5.232 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.232 * [taylor]: Taking taylor expansion of 2.0 in n 5.232 * [taylor]: Taking taylor expansion of (* n PI) in n 5.232 * [taylor]: Taking taylor expansion of n in n 5.232 * [taylor]: Taking taylor expansion of PI in n 5.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.232 * [taylor]: Taking taylor expansion of 2.0 in n 5.232 * [taylor]: Taking taylor expansion of (* n PI) in n 5.232 * [taylor]: Taking taylor expansion of n in n 5.232 * [taylor]: Taking taylor expansion of PI in n 5.245 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.245 * [taylor]: Taking taylor expansion of 2.0 in n 5.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.245 * [taylor]: Taking taylor expansion of PI in n 5.245 * [taylor]: Taking taylor expansion of n in n 5.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.246 * [taylor]: Taking taylor expansion of 2.0 in n 5.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.246 * [taylor]: Taking taylor expansion of PI in n 5.246 * [taylor]: Taking taylor expansion of n in n 5.255 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.255 * [taylor]: Taking taylor expansion of -2.0 in n 5.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.255 * [taylor]: Taking taylor expansion of PI in n 5.255 * [taylor]: Taking taylor expansion of n in n 5.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.255 * [taylor]: Taking taylor expansion of -2.0 in n 5.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.255 * [taylor]: Taking taylor expansion of PI in n 5.255 * [taylor]: Taking taylor expansion of n in n 5.265 * * * [progress]: simplifying candidates 5.267 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 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) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.274 * * [simplify]: iteration 0 : 234 enodes (cost 1642 ) 5.318 * * [simplify]: iteration 1 : 573 enodes (cost 1523 ) 5.442 * * [simplify]: iteration 2 : 2143 enodes (cost 1397 ) 5.963 * * [simplify]: iteration done : 5000 enodes (cost 1391 ) 5.965 * [simplify]: Simplified to: (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) (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) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (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) (* n PI) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (- (+ (+ (* (* (pow (* (* 2.0 PI) n) 0.5) (* (log n) (log (* 2.0 PI)))) (* 0.25 (pow k 2))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.966 * * * [progress]: adding candidates to table 6.372 * * [progress]: iteration 3 / 4 6.372 * * * [progress]: picking best candidate 6.409 * * * * [pick]: Picked # 6.409 * * * [progress]: localizing error 6.427 * * * [progress]: generating rewritten candidates 6.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.445 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.449 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.500 * * * [progress]: generating series expansions 6.500 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.500 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.500 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.500 * [taylor]: Taking taylor expansion of 1.0 in k 6.500 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.500 * [taylor]: Taking taylor expansion of k in k 6.502 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.503 * [taylor]: Taking taylor expansion of 1.0 in k 6.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.503 * [taylor]: Taking taylor expansion of k in k 6.514 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.514 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.514 * [taylor]: Taking taylor expansion of 1.0 in k 6.514 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.514 * [taylor]: Taking taylor expansion of k in k 6.515 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.515 * [taylor]: Taking taylor expansion of 1.0 in k 6.515 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.515 * [taylor]: Taking taylor expansion of k in k 6.526 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.526 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.526 * [taylor]: Taking taylor expansion of 1.0 in k 6.526 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.526 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.526 * [taylor]: Taking taylor expansion of -1 in k 6.526 * [taylor]: Taking taylor expansion of k in k 6.527 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.527 * [taylor]: Taking taylor expansion of 1.0 in k 6.527 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.527 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.527 * [taylor]: Taking taylor expansion of -1 in k 6.527 * [taylor]: Taking taylor expansion of k in k 6.539 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.539 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 6.539 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 6.539 * [taylor]: Taking taylor expansion of 1.0 in k 6.539 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 6.539 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 6.539 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 6.539 * [taylor]: Taking taylor expansion of 1/4 in k 6.539 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 6.539 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.539 * [taylor]: Taking taylor expansion of k in k 6.540 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 6.540 * [taylor]: Taking taylor expansion of 1.0 in k 6.540 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 6.540 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 6.540 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 6.540 * [taylor]: Taking taylor expansion of 1/4 in k 6.540 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 6.540 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.540 * [taylor]: Taking taylor expansion of k in k 6.603 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 6.603 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 6.603 * [taylor]: Taking taylor expansion of 1.0 in k 6.603 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 6.603 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 6.603 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 6.603 * [taylor]: Taking taylor expansion of 1/4 in k 6.603 * [taylor]: Taking taylor expansion of (log k) in k 6.603 * [taylor]: Taking taylor expansion of k in k 6.604 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 6.604 * [taylor]: Taking taylor expansion of 1.0 in k 6.604 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 6.604 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 6.604 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 6.604 * [taylor]: Taking taylor expansion of 1/4 in k 6.604 * [taylor]: Taking taylor expansion of (log k) in k 6.604 * [taylor]: Taking taylor expansion of k in k 6.661 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 6.661 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 6.661 * [taylor]: Taking taylor expansion of 1.0 in k 6.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 6.661 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 6.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.661 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.661 * [taylor]: Taking taylor expansion of -1 in k 6.661 * [taylor]: Taking taylor expansion of k in k 6.668 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 6.668 * [taylor]: Taking taylor expansion of 1.0 in k 6.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 6.668 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 6.668 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.668 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.668 * [taylor]: Taking taylor expansion of -1 in k 6.668 * [taylor]: Taking taylor expansion of k in k 6.707 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.707 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 6.708 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.708 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.708 * [taylor]: Taking taylor expansion of 0.5 in k 6.708 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.708 * [taylor]: Taking taylor expansion of 1.0 in k 6.708 * [taylor]: Taking taylor expansion of k in k 6.708 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.708 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.708 * [taylor]: Taking taylor expansion of 2.0 in k 6.708 * [taylor]: Taking taylor expansion of (* n PI) in k 6.708 * [taylor]: Taking taylor expansion of n in k 6.708 * [taylor]: Taking taylor expansion of PI in k 6.709 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.709 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.709 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.709 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.709 * [taylor]: Taking taylor expansion of 0.5 in n 6.709 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.709 * [taylor]: Taking taylor expansion of 1.0 in n 6.709 * [taylor]: Taking taylor expansion of k in n 6.709 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.709 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.709 * [taylor]: Taking taylor expansion of 2.0 in n 6.709 * [taylor]: Taking taylor expansion of (* n PI) in n 6.709 * [taylor]: Taking taylor expansion of n in n 6.709 * [taylor]: Taking taylor expansion of PI in n 6.714 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.715 * [taylor]: Taking taylor expansion of 0.5 in n 6.715 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.715 * [taylor]: Taking taylor expansion of 1.0 in n 6.715 * [taylor]: Taking taylor expansion of k in n 6.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.715 * [taylor]: Taking taylor expansion of 2.0 in n 6.715 * [taylor]: Taking taylor expansion of (* n PI) in n 6.715 * [taylor]: Taking taylor expansion of n in n 6.715 * [taylor]: Taking taylor expansion of PI in n 6.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.720 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.720 * [taylor]: Taking taylor expansion of 0.5 in k 6.720 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.720 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.720 * [taylor]: Taking taylor expansion of 1.0 in k 6.720 * [taylor]: Taking taylor expansion of k in k 6.720 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.720 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.720 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.720 * [taylor]: Taking taylor expansion of 2.0 in k 6.720 * [taylor]: Taking taylor expansion of PI in k 6.721 * [taylor]: Taking taylor expansion of (log n) in k 6.721 * [taylor]: Taking taylor expansion of n in k 6.737 * [taylor]: Taking taylor expansion of 0 in k 6.753 * [taylor]: Taking taylor expansion of 0 in k 6.773 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 6.773 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.773 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.773 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.773 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.773 * [taylor]: Taking taylor expansion of 0.5 in k 6.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.773 * [taylor]: Taking taylor expansion of 1.0 in k 6.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.773 * [taylor]: Taking taylor expansion of k in k 6.773 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.773 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.773 * [taylor]: Taking taylor expansion of 2.0 in k 6.773 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.773 * [taylor]: Taking taylor expansion of PI in k 6.773 * [taylor]: Taking taylor expansion of n in k 6.774 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.774 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.774 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.774 * [taylor]: Taking taylor expansion of 0.5 in n 6.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.774 * [taylor]: Taking taylor expansion of 1.0 in n 6.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.774 * [taylor]: Taking taylor expansion of k in n 6.774 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.774 * [taylor]: Taking taylor expansion of 2.0 in n 6.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.774 * [taylor]: Taking taylor expansion of PI in n 6.774 * [taylor]: Taking taylor expansion of n in n 6.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.778 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.778 * [taylor]: Taking taylor expansion of 0.5 in n 6.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.778 * [taylor]: Taking taylor expansion of 1.0 in n 6.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.778 * [taylor]: Taking taylor expansion of k in n 6.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.778 * [taylor]: Taking taylor expansion of 2.0 in n 6.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.778 * [taylor]: Taking taylor expansion of PI in n 6.778 * [taylor]: Taking taylor expansion of n in n 6.782 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.782 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.782 * [taylor]: Taking taylor expansion of 0.5 in k 6.782 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.782 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.782 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.782 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.782 * [taylor]: Taking taylor expansion of 2.0 in k 6.782 * [taylor]: Taking taylor expansion of PI in k 6.783 * [taylor]: Taking taylor expansion of (log n) in k 6.783 * [taylor]: Taking taylor expansion of n in k 6.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.783 * [taylor]: Taking taylor expansion of 1.0 in k 6.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.783 * [taylor]: Taking taylor expansion of k in k 6.794 * [taylor]: Taking taylor expansion of 0 in k 6.801 * [taylor]: Taking taylor expansion of 0 in k 6.810 * [taylor]: Taking taylor expansion of 0 in k 6.811 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.812 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.812 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.812 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.812 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.812 * [taylor]: Taking taylor expansion of 0.5 in k 6.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.812 * [taylor]: Taking taylor expansion of k in k 6.817 * [taylor]: Taking taylor expansion of 1.0 in k 6.818 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.818 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.818 * [taylor]: Taking taylor expansion of -2.0 in k 6.818 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.818 * [taylor]: Taking taylor expansion of PI in k 6.818 * [taylor]: Taking taylor expansion of n in k 6.819 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.819 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.819 * [taylor]: Taking taylor expansion of 0.5 in n 6.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.819 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.819 * [taylor]: Taking taylor expansion of k in n 6.819 * [taylor]: Taking taylor expansion of 1.0 in n 6.819 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.819 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.819 * [taylor]: Taking taylor expansion of -2.0 in n 6.819 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.819 * [taylor]: Taking taylor expansion of PI in n 6.819 * [taylor]: Taking taylor expansion of n in n 6.823 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.823 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.823 * [taylor]: Taking taylor expansion of 0.5 in n 6.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.823 * [taylor]: Taking taylor expansion of k in n 6.823 * [taylor]: Taking taylor expansion of 1.0 in n 6.823 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.823 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.823 * [taylor]: Taking taylor expansion of -2.0 in n 6.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.823 * [taylor]: Taking taylor expansion of PI in n 6.823 * [taylor]: Taking taylor expansion of n in n 6.827 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.827 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.827 * [taylor]: Taking taylor expansion of 0.5 in k 6.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.827 * [taylor]: Taking taylor expansion of k in k 6.827 * [taylor]: Taking taylor expansion of 1.0 in k 6.827 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.827 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.827 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.827 * [taylor]: Taking taylor expansion of -2.0 in k 6.827 * [taylor]: Taking taylor expansion of PI in k 6.828 * [taylor]: Taking taylor expansion of (log n) in k 6.828 * [taylor]: Taking taylor expansion of n in k 6.837 * [taylor]: Taking taylor expansion of 0 in k 6.845 * [taylor]: Taking taylor expansion of 0 in k 6.853 * [taylor]: Taking taylor expansion of 0 in k 6.855 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.855 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.855 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.855 * [taylor]: Taking taylor expansion of 2.0 in n 6.855 * [taylor]: Taking taylor expansion of (* n PI) in n 6.855 * [taylor]: Taking taylor expansion of n in n 6.855 * [taylor]: Taking taylor expansion of PI in n 6.855 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.855 * [taylor]: Taking taylor expansion of 2.0 in n 6.855 * [taylor]: Taking taylor expansion of (* n PI) in n 6.855 * [taylor]: Taking taylor expansion of n in n 6.855 * [taylor]: Taking taylor expansion of PI in n 6.868 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.868 * [taylor]: Taking taylor expansion of 2.0 in n 6.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.868 * [taylor]: Taking taylor expansion of PI in n 6.868 * [taylor]: Taking taylor expansion of n in n 6.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.869 * [taylor]: Taking taylor expansion of 2.0 in n 6.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.869 * [taylor]: Taking taylor expansion of PI in n 6.869 * [taylor]: Taking taylor expansion of n in n 6.878 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.878 * [taylor]: Taking taylor expansion of -2.0 in n 6.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.878 * [taylor]: Taking taylor expansion of PI in n 6.878 * [taylor]: Taking taylor expansion of n in n 6.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.878 * [taylor]: Taking taylor expansion of -2.0 in n 6.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.878 * [taylor]: Taking taylor expansion of PI in n 6.878 * [taylor]: Taking taylor expansion of n in n 6.887 * * * [progress]: simplifying candidates 6.901 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt 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[simplify]: iteration 0 : 558 enodes (cost 8953 ) 7.030 * * [simplify]: iteration 1 : 1346 enodes (cost 7944 ) 7.338 * * [simplify]: iteration done : 5000 enodes (cost 7520 ) 7.341 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (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 (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))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 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k) 2.0) 2)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (exp (* (* 2.0 PI) n)) (* (* (pow (* (* PI n) 2.0) (* 2 1)) (* 2.0 PI)) n) (* (* (pow (* (* PI n) 2.0) (* 2 1)) (* 2.0 PI)) n) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (pow (* (* PI n) 2.0) (* 2 1)) (* 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) (* PI n) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (- (/ +nan.0 (pow k 2)))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (- (/ +nan.0 (* (sqrt +nan.0) (pow k 2))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (- (+ (* (* (* (pow k 2) (log (* 2.0 PI))) (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log n))) 0.25) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* 0.5 k) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log n)) (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))))))) (exp (* (log (* (* 2.0 PI) n)) (* 0.5 (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) 7.345 * * * [progress]: adding candidates to table 8.081 * * [progress]: iteration 4 / 4 8.081 * * * [progress]: picking best candidate 8.123 * * * * [pick]: Picked # 8.123 * * * [progress]: localizing error 8.139 * * * [progress]: generating rewritten candidates 8.139 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 8.142 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 8.145 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.205 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 8.221 * * * [progress]: generating series expansions 8.221 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 8.221 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.222 * [taylor]: Taking taylor expansion of 1.0 in k 8.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.222 * [taylor]: Taking taylor expansion of k in k 8.224 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.224 * [taylor]: Taking taylor expansion of 1.0 in k 8.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.224 * [taylor]: Taking taylor expansion of k in k 8.236 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.236 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.236 * [taylor]: Taking taylor expansion of 1.0 in k 8.236 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.236 * [taylor]: Taking taylor expansion of k in k 8.237 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.237 * [taylor]: Taking taylor expansion of 1.0 in k 8.237 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.237 * [taylor]: Taking taylor expansion of k in k 8.248 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.248 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.248 * [taylor]: Taking taylor expansion of 1.0 in k 8.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.248 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.248 * [taylor]: Taking taylor expansion of -1 in k 8.248 * [taylor]: Taking taylor expansion of k in k 8.249 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.250 * [taylor]: Taking taylor expansion of 1.0 in k 8.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.250 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.250 * [taylor]: Taking taylor expansion of -1 in k 8.250 * [taylor]: Taking taylor expansion of k in k 8.268 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 8.268 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.268 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.268 * [taylor]: Taking taylor expansion of 1.0 in k 8.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.268 * [taylor]: Taking taylor expansion of k in k 8.269 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.269 * [taylor]: Taking taylor expansion of 1.0 in k 8.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.269 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.269 * [taylor]: Taking taylor expansion of k in k 8.281 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.281 * [taylor]: Taking taylor expansion of 1.0 in k 8.281 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.281 * [taylor]: Taking taylor expansion of k in k 8.282 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.282 * [taylor]: Taking taylor expansion of 1.0 in k 8.282 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.282 * [taylor]: Taking taylor expansion of k in k 8.294 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.294 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.294 * [taylor]: Taking taylor expansion of 1.0 in k 8.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.294 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.294 * [taylor]: Taking taylor expansion of -1 in k 8.294 * [taylor]: Taking taylor expansion of k in k 8.295 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.295 * [taylor]: Taking taylor expansion of 1.0 in k 8.296 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.296 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.296 * [taylor]: Taking taylor expansion of -1 in k 8.296 * [taylor]: Taking taylor expansion of k in k 8.308 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.309 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in (k n) around 0 8.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in n 8.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.309 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.309 * [taylor]: Taking taylor expansion of k in n 8.309 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in n 8.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.309 * [taylor]: Taking taylor expansion of 0.5 in n 8.310 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.310 * [taylor]: Taking taylor expansion of 1.0 in n 8.310 * [taylor]: Taking taylor expansion of k in n 8.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.310 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.310 * [taylor]: Taking taylor expansion of 2.0 in n 8.310 * [taylor]: Taking taylor expansion of (* n PI) in n 8.310 * [taylor]: Taking taylor expansion of n in n 8.310 * [taylor]: Taking taylor expansion of PI in n 8.315 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.315 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.315 * [taylor]: Taking taylor expansion of 1.0 in n 8.316 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 8.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.316 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.316 * [taylor]: Taking taylor expansion of k in k 8.317 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 8.317 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.317 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.317 * [taylor]: Taking taylor expansion of 0.5 in k 8.317 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.317 * [taylor]: Taking taylor expansion of 1.0 in k 8.317 * [taylor]: Taking taylor expansion of k in k 8.317 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.317 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.317 * [taylor]: Taking taylor expansion of 2.0 in k 8.317 * [taylor]: Taking taylor expansion of (* n PI) in k 8.317 * [taylor]: Taking taylor expansion of n in k 8.318 * [taylor]: Taking taylor expansion of PI in k 8.318 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.318 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.319 * [taylor]: Taking taylor expansion of 1.0 in k 8.319 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 8.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.319 * [taylor]: Taking taylor expansion of k in k 8.321 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 8.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.321 * [taylor]: Taking taylor expansion of 0.5 in k 8.321 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.321 * [taylor]: Taking taylor expansion of 1.0 in k 8.321 * [taylor]: Taking taylor expansion of k in k 8.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.321 * [taylor]: Taking taylor expansion of 2.0 in k 8.321 * [taylor]: Taking taylor expansion of (* n PI) in k 8.321 * [taylor]: Taking taylor expansion of n in k 8.321 * [taylor]: Taking taylor expansion of PI in k 8.322 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.322 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.322 * [taylor]: Taking taylor expansion of 1.0 in k 8.326 * [taylor]: Taking taylor expansion of 0 in n 8.334 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 8.334 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 8.334 * [taylor]: Taking taylor expansion of +nan.0 in n 8.335 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 8.335 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.335 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.335 * [taylor]: Taking taylor expansion of 0.5 in n 8.335 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.335 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.335 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.335 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.335 * [taylor]: Taking taylor expansion of 1.0 in n 8.335 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.335 * [taylor]: Taking taylor expansion of 2.0 in n 8.337 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.337 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.337 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.337 * [taylor]: Taking taylor expansion of 1.0 in n 8.337 * [taylor]: Taking taylor expansion of (log n) in n 8.337 * [taylor]: Taking taylor expansion of n in n 8.337 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.337 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.337 * [taylor]: Taking taylor expansion of 1.0 in n 8.337 * [taylor]: Taking taylor expansion of (log PI) in n 8.337 * [taylor]: Taking taylor expansion of PI in n 8.343 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.343 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.343 * [taylor]: Taking taylor expansion of 1.0 in n 8.372 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))) in n 8.372 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))) in n 8.372 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.372 * [taylor]: Taking taylor expansion of +nan.0 in n 8.372 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.372 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) in n 8.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.372 * [taylor]: Taking taylor expansion of 2.0 in n 8.372 * [taylor]: Taking taylor expansion of (* n PI) in n 8.372 * [taylor]: Taking taylor expansion of n in n 8.372 * [taylor]: Taking taylor expansion of PI in n 8.375 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.375 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.375 * [taylor]: Taking taylor expansion of 1.0 in n 8.376 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.376 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.376 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.376 * [taylor]: Taking taylor expansion of 0.5 in n 8.376 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.376 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.376 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.376 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.376 * [taylor]: Taking taylor expansion of 1.0 in n 8.376 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.376 * [taylor]: Taking taylor expansion of 2.0 in n 8.378 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.378 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.378 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.378 * [taylor]: Taking taylor expansion of 1.0 in n 8.378 * [taylor]: Taking taylor expansion of (log n) in n 8.378 * [taylor]: Taking taylor expansion of n in n 8.378 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.378 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.378 * [taylor]: Taking taylor expansion of 1.0 in n 8.378 * [taylor]: Taking taylor expansion of (log PI) in n 8.378 * [taylor]: Taking taylor expansion of PI in n 8.384 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 8.384 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 8.384 * [taylor]: Taking taylor expansion of +nan.0 in n 8.384 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 8.384 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.384 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.384 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.384 * [taylor]: Taking taylor expansion of 0.5 in n 8.384 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.384 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.384 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.384 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.384 * [taylor]: Taking taylor expansion of 1.0 in n 8.384 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.385 * [taylor]: Taking taylor expansion of 2.0 in n 8.386 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.386 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.386 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.386 * [taylor]: Taking taylor expansion of 1.0 in n 8.386 * [taylor]: Taking taylor expansion of (log n) in n 8.386 * [taylor]: Taking taylor expansion of n in n 8.387 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.387 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.387 * [taylor]: Taking taylor expansion of 1.0 in n 8.387 * [taylor]: Taking taylor expansion of (log PI) in n 8.387 * [taylor]: Taking taylor expansion of PI in n 8.392 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.392 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.393 * [taylor]: Taking taylor expansion of 1.0 in n 8.464 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))))) in n 8.465 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))))) in n 8.465 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.465 * [taylor]: Taking taylor expansion of +nan.0 in n 8.465 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.465 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) in n 8.465 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.465 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.465 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.465 * [taylor]: Taking taylor expansion of 2.0 in n 8.465 * [taylor]: Taking taylor expansion of (* n PI) in n 8.465 * [taylor]: Taking taylor expansion of n in n 8.465 * [taylor]: Taking taylor expansion of PI in n 8.469 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.469 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.469 * [taylor]: Taking taylor expansion of 1.0 in n 8.469 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.470 * [taylor]: Taking taylor expansion of 0.5 in n 8.470 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.470 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.470 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.470 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.470 * [taylor]: Taking taylor expansion of 1.0 in n 8.470 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.470 * [taylor]: Taking taylor expansion of 2.0 in n 8.471 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.471 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.471 * [taylor]: Taking taylor expansion of 1.0 in n 8.471 * [taylor]: Taking taylor expansion of (log n) in n 8.472 * [taylor]: Taking taylor expansion of n in n 8.472 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.472 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.472 * [taylor]: Taking taylor expansion of 1.0 in n 8.472 * [taylor]: Taking taylor expansion of (log PI) in n 8.472 * [taylor]: Taking taylor expansion of PI in n 8.478 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))) in n 8.478 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))) in n 8.478 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.478 * [taylor]: Taking taylor expansion of +nan.0 in n 8.478 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.478 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) in n 8.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.478 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.478 * [taylor]: Taking taylor expansion of 2.0 in n 8.478 * [taylor]: Taking taylor expansion of (* n PI) in n 8.478 * [taylor]: Taking taylor expansion of n in n 8.478 * [taylor]: Taking taylor expansion of PI in n 8.481 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.481 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.481 * [taylor]: Taking taylor expansion of 1.0 in n 8.482 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.482 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.482 * [taylor]: Taking taylor expansion of 0.5 in n 8.482 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.482 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.482 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.482 * [taylor]: Taking taylor expansion of 1.0 in n 8.482 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.482 * [taylor]: Taking taylor expansion of 2.0 in n 8.484 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.484 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.484 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.484 * [taylor]: Taking taylor expansion of 1.0 in n 8.484 * [taylor]: Taking taylor expansion of (log n) in n 8.484 * [taylor]: Taking taylor expansion of n in n 8.485 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.485 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.485 * [taylor]: Taking taylor expansion of 1.0 in n 8.485 * [taylor]: Taking taylor expansion of (log PI) in n 8.485 * [taylor]: Taking taylor expansion of PI in n 8.490 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 8.490 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 8.490 * [taylor]: Taking taylor expansion of +nan.0 in n 8.490 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 8.490 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.490 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.490 * [taylor]: Taking taylor expansion of 0.5 in n 8.490 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.490 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.490 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.490 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.491 * [taylor]: Taking taylor expansion of 1.0 in n 8.491 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.491 * [taylor]: Taking taylor expansion of 2.0 in n 8.492 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.492 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.492 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.492 * [taylor]: Taking taylor expansion of 1.0 in n 8.492 * [taylor]: Taking taylor expansion of (log n) in n 8.492 * [taylor]: Taking taylor expansion of n in n 8.493 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.493 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.493 * [taylor]: Taking taylor expansion of 1.0 in n 8.493 * [taylor]: Taking taylor expansion of (log PI) in n 8.493 * [taylor]: Taking taylor expansion of PI in n 8.499 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.499 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.499 * [taylor]: Taking taylor expansion of 1.0 in n 8.604 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 8.604 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 8.604 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.604 * [taylor]: Taking taylor expansion of k in n 8.604 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.604 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.604 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.604 * [taylor]: Taking taylor expansion of 1.0 in n 8.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.605 * [taylor]: Taking taylor expansion of 0.5 in n 8.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.605 * [taylor]: Taking taylor expansion of 1.0 in n 8.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.605 * [taylor]: Taking taylor expansion of k in n 8.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.605 * [taylor]: Taking taylor expansion of 2.0 in n 8.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.605 * [taylor]: Taking taylor expansion of PI in n 8.605 * [taylor]: Taking taylor expansion of n in n 8.609 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.609 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.609 * [taylor]: Taking taylor expansion of k in k 8.610 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.610 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.610 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.610 * [taylor]: Taking taylor expansion of 1.0 in k 8.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.611 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.611 * [taylor]: Taking taylor expansion of 0.5 in k 8.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.611 * [taylor]: Taking taylor expansion of 1.0 in k 8.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.611 * [taylor]: Taking taylor expansion of k in k 8.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.611 * [taylor]: Taking taylor expansion of 2.0 in k 8.611 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.611 * [taylor]: Taking taylor expansion of PI in k 8.611 * [taylor]: Taking taylor expansion of n in k 8.612 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.612 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.612 * [taylor]: Taking taylor expansion of k in k 8.613 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.613 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.613 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.613 * [taylor]: Taking taylor expansion of 1.0 in k 8.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.614 * [taylor]: Taking taylor expansion of 0.5 in k 8.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.614 * [taylor]: Taking taylor expansion of 1.0 in k 8.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.614 * [taylor]: Taking taylor expansion of k in k 8.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.614 * [taylor]: Taking taylor expansion of 2.0 in k 8.614 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.615 * [taylor]: Taking taylor expansion of PI in k 8.615 * [taylor]: Taking taylor expansion of n in k 8.618 * [taylor]: Taking taylor expansion of 0 in n 8.626 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.626 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.626 * [taylor]: Taking taylor expansion of +nan.0 in n 8.626 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.626 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.626 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.626 * [taylor]: Taking taylor expansion of 1.0 in n 8.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.627 * [taylor]: Taking taylor expansion of 0.5 in n 8.627 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.627 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.627 * [taylor]: Taking taylor expansion of 2.0 in n 8.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.627 * [taylor]: Taking taylor expansion of PI in n 8.627 * [taylor]: Taking taylor expansion of n in n 8.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.628 * [taylor]: Taking taylor expansion of 1.0 in n 8.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.628 * [taylor]: Taking taylor expansion of k in n 8.643 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.643 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.643 * [taylor]: Taking taylor expansion of +nan.0 in n 8.643 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.643 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.643 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.643 * [taylor]: Taking taylor expansion of 1.0 in n 8.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.644 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.644 * [taylor]: Taking taylor expansion of 0.5 in n 8.645 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.645 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.645 * [taylor]: Taking taylor expansion of 2.0 in n 8.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.645 * [taylor]: Taking taylor expansion of PI in n 8.645 * [taylor]: Taking taylor expansion of n in n 8.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.646 * [taylor]: Taking taylor expansion of 1.0 in n 8.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.646 * [taylor]: Taking taylor expansion of k in n 8.672 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.672 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.672 * [taylor]: Taking taylor expansion of +nan.0 in n 8.672 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.672 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.672 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.672 * [taylor]: Taking taylor expansion of 1.0 in n 8.673 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.673 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.673 * [taylor]: Taking taylor expansion of 0.5 in n 8.673 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.673 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.673 * [taylor]: Taking taylor expansion of 2.0 in n 8.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.673 * [taylor]: Taking taylor expansion of PI in n 8.673 * [taylor]: Taking taylor expansion of n in n 8.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.674 * [taylor]: Taking taylor expansion of 1.0 in n 8.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.674 * [taylor]: Taking taylor expansion of k in n 8.690 * [approximate]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in (k n) around 0 8.690 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in n 8.690 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in n 8.690 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.690 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.690 * [taylor]: Taking taylor expansion of 0.5 in n 8.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.690 * [taylor]: Taking taylor expansion of k in n 8.690 * [taylor]: Taking taylor expansion of 1.0 in n 8.690 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.690 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.690 * [taylor]: Taking taylor expansion of -2.0 in n 8.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.690 * [taylor]: Taking taylor expansion of PI in n 8.690 * [taylor]: Taking taylor expansion of n in n 8.694 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.694 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.694 * [taylor]: Taking taylor expansion of 1.0 in n 8.695 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.695 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.695 * [taylor]: Taking taylor expansion of -1 in n 8.695 * [taylor]: Taking taylor expansion of k in n 8.699 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 8.699 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 8.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.699 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.699 * [taylor]: Taking taylor expansion of 0.5 in k 8.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.699 * [taylor]: Taking taylor expansion of k in k 8.699 * [taylor]: Taking taylor expansion of 1.0 in k 8.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.699 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.699 * [taylor]: Taking taylor expansion of -2.0 in k 8.699 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.699 * [taylor]: Taking taylor expansion of PI in k 8.699 * [taylor]: Taking taylor expansion of n in k 8.700 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.700 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.700 * [taylor]: Taking taylor expansion of 1.0 in k 8.701 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.701 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.701 * [taylor]: Taking taylor expansion of -1 in k 8.701 * [taylor]: Taking taylor expansion of k in k 8.704 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 8.704 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 8.704 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.704 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.705 * [taylor]: Taking taylor expansion of 0.5 in k 8.705 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.705 * [taylor]: Taking taylor expansion of k in k 8.705 * [taylor]: Taking taylor expansion of 1.0 in k 8.705 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.705 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.705 * [taylor]: Taking taylor expansion of -2.0 in k 8.705 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.705 * [taylor]: Taking taylor expansion of PI in k 8.705 * [taylor]: Taking taylor expansion of n in k 8.706 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.706 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.706 * [taylor]: Taking taylor expansion of 1.0 in k 8.706 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.706 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.706 * [taylor]: Taking taylor expansion of -1 in k 8.707 * [taylor]: Taking taylor expansion of k in k 8.710 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.710 * [taylor]: Taking taylor expansion of +nan.0 in n 8.710 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.710 * [taylor]: Taking taylor expansion of 0.5 in n 8.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.710 * [taylor]: Taking taylor expansion of k in n 8.710 * [taylor]: Taking taylor expansion of 1.0 in n 8.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.710 * [taylor]: Taking taylor expansion of -2.0 in n 8.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.710 * [taylor]: Taking taylor expansion of PI in n 8.710 * [taylor]: Taking taylor expansion of n in n 8.721 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.721 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.721 * [taylor]: Taking taylor expansion of 1.0 in n 8.732 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)))) in n 8.732 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.732 * [taylor]: Taking taylor expansion of +nan.0 in n 8.732 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.732 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.732 * [taylor]: Taking taylor expansion of 0.5 in n 8.732 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.732 * [taylor]: Taking taylor expansion of k in n 8.732 * [taylor]: Taking taylor expansion of 1.0 in n 8.732 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.732 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.732 * [taylor]: Taking taylor expansion of -2.0 in n 8.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.732 * [taylor]: Taking taylor expansion of PI in n 8.732 * [taylor]: Taking taylor expansion of n in n 8.736 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.736 * [taylor]: Taking taylor expansion of 1.0 in n 8.761 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)))) in n 8.761 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.761 * [taylor]: Taking taylor expansion of +nan.0 in n 8.761 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.761 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.761 * [taylor]: Taking taylor expansion of 0.5 in n 8.761 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.761 * [taylor]: Taking taylor expansion of k in n 8.761 * [taylor]: Taking taylor expansion of 1.0 in n 8.761 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.761 * [taylor]: Taking taylor expansion of -2.0 in n 8.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.761 * [taylor]: Taking taylor expansion of PI in n 8.761 * [taylor]: Taking taylor expansion of n in n 8.765 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.765 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.765 * [taylor]: Taking taylor expansion of 1.0 in n 8.777 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 8.778 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.778 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.778 * [taylor]: Taking taylor expansion of 0.5 in k 8.778 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.778 * [taylor]: Taking taylor expansion of 1.0 in k 8.778 * [taylor]: Taking taylor expansion of k in k 8.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.778 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.778 * [taylor]: Taking taylor expansion of 2.0 in k 8.778 * [taylor]: Taking taylor expansion of (* n PI) in k 8.778 * [taylor]: Taking taylor expansion of n in k 8.778 * [taylor]: Taking taylor expansion of PI in k 8.779 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.779 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.779 * [taylor]: Taking taylor expansion of 0.5 in n 8.779 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.779 * [taylor]: Taking taylor expansion of 1.0 in n 8.779 * [taylor]: Taking taylor expansion of k in n 8.779 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.779 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.779 * [taylor]: Taking taylor expansion of 2.0 in n 8.779 * [taylor]: Taking taylor expansion of (* n PI) in n 8.779 * [taylor]: Taking taylor expansion of n in n 8.779 * [taylor]: Taking taylor expansion of PI in n 8.785 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.785 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.785 * [taylor]: Taking taylor expansion of 0.5 in n 8.785 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.785 * [taylor]: Taking taylor expansion of 1.0 in n 8.785 * [taylor]: Taking taylor expansion of k in n 8.785 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.785 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.785 * [taylor]: Taking taylor expansion of 2.0 in n 8.785 * [taylor]: Taking taylor expansion of (* n PI) in n 8.785 * [taylor]: Taking taylor expansion of n in n 8.785 * [taylor]: Taking taylor expansion of PI in n 8.791 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.791 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.791 * [taylor]: Taking taylor expansion of 0.5 in k 8.791 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.791 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.791 * [taylor]: Taking taylor expansion of 1.0 in k 8.791 * [taylor]: Taking taylor expansion of k in k 8.791 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.791 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.791 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.791 * [taylor]: Taking taylor expansion of 2.0 in k 8.791 * [taylor]: Taking taylor expansion of PI in k 8.792 * [taylor]: Taking taylor expansion of (log n) in k 8.792 * [taylor]: Taking taylor expansion of n in k 8.802 * [taylor]: Taking taylor expansion of 0 in k 8.824 * [taylor]: Taking taylor expansion of 0 in k 8.844 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.844 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.844 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.844 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.844 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.844 * [taylor]: Taking taylor expansion of 0.5 in k 8.844 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.844 * [taylor]: Taking taylor expansion of 1.0 in k 8.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.844 * [taylor]: Taking taylor expansion of k in k 8.844 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.844 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.844 * [taylor]: Taking taylor expansion of 2.0 in k 8.844 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.844 * [taylor]: Taking taylor expansion of PI in k 8.844 * [taylor]: Taking taylor expansion of n in k 8.845 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.846 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.846 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.846 * [taylor]: Taking taylor expansion of 0.5 in n 8.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.846 * [taylor]: Taking taylor expansion of 1.0 in n 8.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.846 * [taylor]: Taking taylor expansion of k in n 8.846 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.846 * [taylor]: Taking taylor expansion of 2.0 in n 8.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.846 * [taylor]: Taking taylor expansion of PI in n 8.846 * [taylor]: Taking taylor expansion of n in n 8.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.850 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.850 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.850 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.850 * [taylor]: Taking taylor expansion of 0.5 in n 8.850 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.850 * [taylor]: Taking taylor expansion of 1.0 in n 8.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.850 * [taylor]: Taking taylor expansion of k in n 8.850 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.850 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.850 * [taylor]: Taking taylor expansion of 2.0 in n 8.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.850 * [taylor]: Taking taylor expansion of PI in n 8.850 * [taylor]: Taking taylor expansion of n in n 8.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.854 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.854 * [taylor]: Taking taylor expansion of 0.5 in k 8.854 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.854 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.854 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.854 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.854 * [taylor]: Taking taylor expansion of 2.0 in k 8.854 * [taylor]: Taking taylor expansion of PI in k 8.855 * [taylor]: Taking taylor expansion of (log n) in k 8.855 * [taylor]: Taking taylor expansion of n in k 8.855 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.855 * [taylor]: Taking taylor expansion of 1.0 in k 8.855 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.855 * [taylor]: Taking taylor expansion of k in k 8.865 * [taylor]: Taking taylor expansion of 0 in k 8.873 * [taylor]: Taking taylor expansion of 0 in k 8.882 * [taylor]: Taking taylor expansion of 0 in k 8.884 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.884 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.884 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.884 * [taylor]: Taking taylor expansion of 0.5 in k 8.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.884 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.884 * [taylor]: Taking taylor expansion of k in k 8.884 * [taylor]: Taking taylor expansion of 1.0 in k 8.884 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.884 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.884 * [taylor]: Taking taylor expansion of -2.0 in k 8.884 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.884 * [taylor]: Taking taylor expansion of PI in k 8.884 * [taylor]: Taking taylor expansion of n in k 8.885 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.885 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.885 * [taylor]: Taking taylor expansion of 0.5 in n 8.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.885 * [taylor]: Taking taylor expansion of k in n 8.885 * [taylor]: Taking taylor expansion of 1.0 in n 8.885 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.885 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.885 * [taylor]: Taking taylor expansion of -2.0 in n 8.885 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.885 * [taylor]: Taking taylor expansion of PI in n 8.885 * [taylor]: Taking taylor expansion of n in n 8.889 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.889 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.889 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.889 * [taylor]: Taking taylor expansion of 0.5 in n 8.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.889 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.889 * [taylor]: Taking taylor expansion of k in n 8.889 * [taylor]: Taking taylor expansion of 1.0 in n 8.889 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.889 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.889 * [taylor]: Taking taylor expansion of -2.0 in n 8.889 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.889 * [taylor]: Taking taylor expansion of PI in n 8.889 * [taylor]: Taking taylor expansion of n in n 8.893 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.893 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.893 * [taylor]: Taking taylor expansion of 0.5 in k 8.893 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.893 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.893 * [taylor]: Taking taylor expansion of k in k 8.893 * [taylor]: Taking taylor expansion of 1.0 in k 8.893 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.893 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.893 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.893 * [taylor]: Taking taylor expansion of -2.0 in k 8.894 * [taylor]: Taking taylor expansion of PI in k 8.894 * [taylor]: Taking taylor expansion of (log n) in k 8.894 * [taylor]: Taking taylor expansion of n in k 8.910 * [taylor]: Taking taylor expansion of 0 in k 8.918 * [taylor]: Taking taylor expansion of 0 in k 8.927 * [taylor]: Taking taylor expansion of 0 in k 8.928 * * * [progress]: simplifying candidates 8.931 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 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) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ 1 1) (+ (log (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (log (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (exp (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (sqrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (sqrt k))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (sqrt k))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* 1 1) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (+ (+ (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 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0.5))) (- (+ (* +nan.0 (* (* k (* (pow (sqrt 1.0) 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) (pow k 3)))))))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow k 2)))))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.951 * * [simplify]: iteration 0 : 368 enodes (cost 3823 ) 9.027 * * [simplify]: iteration 1 : 890 enodes (cost 3107 ) 9.259 * * [simplify]: iteration 2 : 3976 enodes (cost 2821 ) 10.199 * * [simplify]: iteration done : 5000 enodes (cost 2821 ) 10.201 * [simplify]: Simplified to: (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 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2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n (* 2.0 PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n (* 2.0 PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n (* 2.0 PI)) (+ (sqrt k) (sqrt 1.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* n (* 2.0 PI)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (- (+ (- (* (* (pow k 2) 1.0) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (* (* 1.0 +nan.0) (pow k 2)) (log n)))) (+ (- (* +nan.0 (* 1.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) 1.0))) (+ (- (* (* +nan.0 (pow k 2)) (* (pow (log n) 2) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 1.0))) (* (* (* 1.0 +nan.0) k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* (pow k 2) 1.0) (log (* 2.0 PI)))) (- (* (* (* +nan.0 k) (* 1.0 (log (* 2.0 PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* +nan.0 (- (* (* (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 1.0) k) (log n)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 1.0))))))))) (+ (* +nan.0 (- (* (/ (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) k) 1.0) (/ (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) (/ (pow k 3) 1.0)))) (* (/ (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) (/ (pow k 2) 1.0)) (- +nan.0))) (+ (* +nan.0 (- (* 1.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (/ (pow k 2) 1.0)))) (* (/ 1.0 (/ k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- +nan.0))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* n (* 2.0 PI)) 0.5)) (* (pow (log n) 2) (pow (* n (* 2.0 PI)) 0.5)))) (- (+ (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* n (* 2.0 PI)) 0.5)) 0.25) (pow (* n (* 2.0 PI)) 0.5)) (* (* 0.5 k) (+ (* (log n) (pow (* n (* 2.0 PI)) 0.5)) (* (log (* 2.0 PI)) (pow (* n (* 2.0 PI)) 0.5)))))) (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 10.202 * * * [progress]: adding candidates to table 10.746 * [progress]: [Phase 3 of 3] Extracting. 10.746 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 10.754 * * * [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) 10.754 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 10.807 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 10.865 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 10.917 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 10.970 * * * [regime]: Found split indices: #