14.936 * [progress]: [Phase 1 of 3] Setting up. 0.000 * * * [progress]: [1/2] Preparing points 0.669 * * * [progress]: [2/2] Setting up program. 0.671 * [progress]: [Phase 2 of 3] Improving. 0.671 * [simplify]: Simplifying using # : (*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 0.741 * * [simplify]: iteration 0 : 4934 enodes (cost 22 ) 0.741 * * [simplify]: iteration 1 : 4934 enodes (cost 22 ) 0.742 * [simplify]: Simplified to: (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 0.745 * * [progress]: iteration 1 / 4 0.745 * * * [progress]: picking best candidate 0.746 * * * * [pick]: Picked # 0.747 * * * [progress]: localizing error 0.758 * * * [progress]: generating rewritten candidates 0.758 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.769 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.774 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.786 * * * [progress]: generating series expansions 0.786 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.786 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.786 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.786 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.786 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.786 * [taylor]: Taking taylor expansion of 1/2 in k 0.786 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.787 * [taylor]: Taking taylor expansion of 1 in k 0.787 * [taylor]: Taking taylor expansion of k in k 0.787 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.787 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.787 * [taylor]: Taking taylor expansion of 2 in k 0.787 * [taylor]: Taking taylor expansion of (* n PI) in k 0.787 * [taylor]: Taking taylor expansion of n in k 0.787 * [taylor]: Taking taylor expansion of PI in k 0.788 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.788 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.788 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.788 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.788 * [taylor]: Taking taylor expansion of 1/2 in n 0.788 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.788 * [taylor]: Taking taylor expansion of 1 in n 0.788 * [taylor]: Taking taylor expansion of k in n 0.788 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.788 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.788 * [taylor]: Taking taylor expansion of 2 in n 0.788 * [taylor]: Taking taylor expansion of (* n PI) in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.788 * [taylor]: Taking taylor expansion of PI in n 0.790 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.790 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.790 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.790 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.790 * [taylor]: Taking taylor expansion of 1/2 in n 0.790 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.790 * [taylor]: Taking taylor expansion of 1 in n 0.790 * [taylor]: Taking taylor expansion of k in n 0.790 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.790 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.790 * [taylor]: Taking taylor expansion of 2 in n 0.790 * [taylor]: Taking taylor expansion of (* n PI) in n 0.790 * [taylor]: Taking taylor expansion of n in n 0.790 * [taylor]: Taking taylor expansion of PI in n 0.793 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.793 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.793 * [taylor]: Taking taylor expansion of 1/2 in k 0.793 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.793 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.793 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.793 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.793 * [taylor]: Taking taylor expansion of 2 in k 0.793 * [taylor]: Taking taylor expansion of PI in k 0.793 * [taylor]: Taking taylor expansion of (log n) in k 0.793 * [taylor]: Taking taylor expansion of n in k 0.793 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.793 * [taylor]: Taking taylor expansion of 1 in k 0.793 * [taylor]: Taking taylor expansion of k in k 0.797 * [taylor]: Taking taylor expansion of 0 in k 0.805 * [taylor]: Taking taylor expansion of 0 in k 0.818 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.818 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.818 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.818 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.818 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.818 * [taylor]: Taking taylor expansion of 1/2 in k 0.818 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.818 * [taylor]: Taking taylor expansion of 1 in k 0.818 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.818 * [taylor]: Taking taylor expansion of k in k 0.819 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.819 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.819 * [taylor]: Taking taylor expansion of 2 in k 0.819 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.819 * [taylor]: Taking taylor expansion of PI in k 0.819 * [taylor]: Taking taylor expansion of n in k 0.820 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.820 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.820 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.820 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.820 * [taylor]: Taking taylor expansion of 1/2 in n 0.820 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.820 * [taylor]: Taking taylor expansion of 1 in n 0.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.820 * [taylor]: Taking taylor expansion of k in n 0.820 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.820 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.820 * [taylor]: Taking taylor expansion of 2 in n 0.820 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.820 * [taylor]: Taking taylor expansion of PI in n 0.820 * [taylor]: Taking taylor expansion of n in n 0.822 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.822 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.822 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.822 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.822 * [taylor]: Taking taylor expansion of 1/2 in n 0.822 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.822 * [taylor]: Taking taylor expansion of 1 in n 0.822 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.822 * [taylor]: Taking taylor expansion of k in n 0.822 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.822 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.822 * [taylor]: Taking taylor expansion of 2 in n 0.822 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.822 * [taylor]: Taking taylor expansion of PI in n 0.822 * [taylor]: Taking taylor expansion of n in n 0.824 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.824 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.824 * [taylor]: Taking taylor expansion of 1/2 in k 0.824 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.824 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.824 * [taylor]: Taking taylor expansion of 1 in k 0.824 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.824 * [taylor]: Taking taylor expansion of k in k 0.824 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.824 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.824 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.824 * [taylor]: Taking taylor expansion of 2 in k 0.824 * [taylor]: Taking taylor expansion of PI in k 0.825 * [taylor]: Taking taylor expansion of (log n) in k 0.825 * [taylor]: Taking taylor expansion of n in k 0.830 * [taylor]: Taking taylor expansion of 0 in k 0.834 * [taylor]: Taking taylor expansion of 0 in k 0.839 * [taylor]: Taking taylor expansion of 0 in k 0.841 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.841 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.841 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.841 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.841 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.841 * [taylor]: Taking taylor expansion of 1/2 in k 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.841 * [taylor]: Taking taylor expansion of k in k 0.841 * [taylor]: Taking taylor expansion of 1 in k 0.841 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.841 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.841 * [taylor]: Taking taylor expansion of -2 in k 0.841 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.841 * [taylor]: Taking taylor expansion of PI in k 0.841 * [taylor]: Taking taylor expansion of n in k 0.842 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.843 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.843 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.843 * [taylor]: Taking taylor expansion of 1/2 in n 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.843 * [taylor]: Taking taylor expansion of k in n 0.843 * [taylor]: Taking taylor expansion of 1 in n 0.843 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.843 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.843 * [taylor]: Taking taylor expansion of -2 in n 0.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.843 * [taylor]: Taking taylor expansion of PI in n 0.843 * [taylor]: Taking taylor expansion of n in n 0.844 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.844 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.845 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.845 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.845 * [taylor]: Taking taylor expansion of 1/2 in n 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.845 * [taylor]: Taking taylor expansion of k in n 0.845 * [taylor]: Taking taylor expansion of 1 in n 0.845 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.845 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.845 * [taylor]: Taking taylor expansion of -2 in n 0.845 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.845 * [taylor]: Taking taylor expansion of PI in n 0.845 * [taylor]: Taking taylor expansion of n in n 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.847 * [taylor]: Taking taylor expansion of 1/2 in k 0.847 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.847 * [taylor]: Taking taylor expansion of k in k 0.847 * [taylor]: Taking taylor expansion of 1 in k 0.847 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.847 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.847 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.847 * [taylor]: Taking taylor expansion of -2 in k 0.847 * [taylor]: Taking taylor expansion of PI in k 0.847 * [taylor]: Taking taylor expansion of (log n) in k 0.847 * [taylor]: Taking taylor expansion of n in k 0.852 * [taylor]: Taking taylor expansion of 0 in k 0.856 * [taylor]: Taking taylor expansion of 0 in k 0.864 * [taylor]: Taking taylor expansion of 0 in k 0.865 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.865 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.865 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.865 * [taylor]: Taking taylor expansion of 2 in n 0.865 * [taylor]: Taking taylor expansion of (* n PI) in n 0.865 * [taylor]: Taking taylor expansion of n in n 0.865 * [taylor]: Taking taylor expansion of PI in n 0.865 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.865 * [taylor]: Taking taylor expansion of 2 in n 0.865 * [taylor]: Taking taylor expansion of (* n PI) in n 0.865 * [taylor]: Taking taylor expansion of n in n 0.865 * [taylor]: Taking taylor expansion of PI in n 0.871 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.871 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.871 * [taylor]: Taking taylor expansion of 2 in n 0.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.871 * [taylor]: Taking taylor expansion of PI in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.872 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.872 * [taylor]: Taking taylor expansion of 2 in n 0.872 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.872 * [taylor]: Taking taylor expansion of PI in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.877 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.877 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.877 * [taylor]: Taking taylor expansion of -2 in n 0.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.877 * [taylor]: Taking taylor expansion of PI in n 0.877 * [taylor]: Taking taylor expansion of n in n 0.878 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.878 * [taylor]: Taking taylor expansion of -2 in n 0.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.878 * [taylor]: Taking taylor expansion of PI in n 0.878 * [taylor]: Taking taylor expansion of n in n 0.883 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.884 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in (n k) around 0 0.884 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 0.884 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.884 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.884 * [taylor]: Taking taylor expansion of k in k 0.884 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.884 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.884 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.885 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.885 * [taylor]: Taking taylor expansion of 1/2 in k 0.885 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.885 * [taylor]: Taking taylor expansion of 1 in k 0.885 * [taylor]: Taking taylor expansion of k in k 0.885 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.885 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.885 * [taylor]: Taking taylor expansion of 2 in k 0.885 * [taylor]: Taking taylor expansion of (* n PI) in k 0.885 * [taylor]: Taking taylor expansion of n in k 0.885 * [taylor]: Taking taylor expansion of PI in k 0.886 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.886 * [taylor]: Taking taylor expansion of k in n 0.886 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.886 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.886 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.886 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.886 * [taylor]: Taking taylor expansion of 1/2 in n 0.886 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.886 * [taylor]: Taking taylor expansion of 1 in n 0.886 * [taylor]: Taking taylor expansion of k in n 0.886 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.886 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.886 * [taylor]: Taking taylor expansion of 2 in n 0.886 * [taylor]: Taking taylor expansion of (* n PI) in n 0.886 * [taylor]: Taking taylor expansion of n in n 0.886 * [taylor]: Taking taylor expansion of PI in n 0.888 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.888 * [taylor]: Taking taylor expansion of k in n 0.889 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.889 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.889 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.889 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.889 * [taylor]: Taking taylor expansion of 1/2 in n 0.889 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.889 * [taylor]: Taking taylor expansion of 1 in n 0.889 * [taylor]: Taking taylor expansion of k in n 0.889 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.889 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.889 * [taylor]: Taking taylor expansion of 2 in n 0.889 * [taylor]: Taking taylor expansion of (* n PI) in n 0.889 * [taylor]: Taking taylor expansion of n in n 0.889 * [taylor]: Taking taylor expansion of PI in n 0.892 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))))) in k 0.892 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.892 * [taylor]: Taking taylor expansion of k in k 0.892 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.892 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.892 * [taylor]: Taking taylor expansion of 1/2 in k 0.892 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.892 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.892 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.892 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.893 * [taylor]: Taking taylor expansion of 2 in k 0.893 * [taylor]: Taking taylor expansion of PI in k 0.893 * [taylor]: Taking taylor expansion of (log n) in k 0.893 * [taylor]: Taking taylor expansion of n in k 0.893 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.893 * [taylor]: Taking taylor expansion of 1 in k 0.893 * [taylor]: Taking taylor expansion of k in k 0.898 * [taylor]: Taking taylor expansion of 0 in k 0.908 * [taylor]: Taking taylor expansion of 0 in k 0.924 * [taylor]: Taking taylor expansion of 0 in k 0.968 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in (n k) around 0 0.968 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 0.968 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.968 * [taylor]: Taking taylor expansion of k in k 0.968 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.968 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.968 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.968 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.968 * [taylor]: Taking taylor expansion of 1/2 in k 0.968 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.968 * [taylor]: Taking taylor expansion of 1 in k 0.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.968 * [taylor]: Taking taylor expansion of k in k 0.968 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.968 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.968 * [taylor]: Taking taylor expansion of 2 in k 0.968 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.968 * [taylor]: Taking taylor expansion of PI in k 0.968 * [taylor]: Taking taylor expansion of n in k 0.970 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.970 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.970 * [taylor]: Taking taylor expansion of k in n 0.970 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.970 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.970 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.970 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.970 * [taylor]: Taking taylor expansion of 1/2 in n 0.970 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.970 * [taylor]: Taking taylor expansion of 1 in n 0.970 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.970 * [taylor]: Taking taylor expansion of k in n 0.970 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.970 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.970 * [taylor]: Taking taylor expansion of 2 in n 0.970 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.970 * [taylor]: Taking taylor expansion of PI in n 0.970 * [taylor]: Taking taylor expansion of n in n 0.972 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.972 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.972 * [taylor]: Taking taylor expansion of k in n 0.973 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.973 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.973 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.973 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.973 * [taylor]: Taking taylor expansion of 1/2 in n 0.973 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.973 * [taylor]: Taking taylor expansion of 1 in n 0.973 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.973 * [taylor]: Taking taylor expansion of k in n 0.973 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.973 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.973 * [taylor]: Taking taylor expansion of 2 in n 0.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.973 * [taylor]: Taking taylor expansion of PI in n 0.973 * [taylor]: Taking taylor expansion of n in n 0.976 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) in k 0.976 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.976 * [taylor]: Taking taylor expansion of k in k 0.976 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.976 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.976 * [taylor]: Taking taylor expansion of 1/2 in k 0.976 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.976 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.976 * [taylor]: Taking taylor expansion of 1 in k 0.976 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.976 * [taylor]: Taking taylor expansion of k in k 0.977 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.977 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.977 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.977 * [taylor]: Taking taylor expansion of 2 in k 0.977 * [taylor]: Taking taylor expansion of PI in k 0.977 * [taylor]: Taking taylor expansion of (log n) in k 0.977 * [taylor]: Taking taylor expansion of n in k 0.984 * [taylor]: Taking taylor expansion of 0 in k 0.991 * [taylor]: Taking taylor expansion of 0 in k 1.000 * [taylor]: Taking taylor expansion of 0 in k 1.009 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.009 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.009 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.009 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.009 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.009 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.009 * [taylor]: Taking taylor expansion of 1/2 in k 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.010 * [taylor]: Taking taylor expansion of k in k 1.010 * [taylor]: Taking taylor expansion of 1 in k 1.010 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.010 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.010 * [taylor]: Taking taylor expansion of -2 in k 1.010 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.010 * [taylor]: Taking taylor expansion of PI in k 1.010 * [taylor]: Taking taylor expansion of n in k 1.011 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.011 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.011 * [taylor]: Taking taylor expansion of -1 in k 1.011 * [taylor]: Taking taylor expansion of k in k 1.012 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.012 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.012 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.012 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.012 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.012 * [taylor]: Taking taylor expansion of 1/2 in n 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.012 * [taylor]: Taking taylor expansion of k in n 1.012 * [taylor]: Taking taylor expansion of 1 in n 1.012 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.012 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.012 * [taylor]: Taking taylor expansion of -2 in n 1.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.012 * [taylor]: Taking taylor expansion of PI in n 1.012 * [taylor]: Taking taylor expansion of n in n 1.014 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.014 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.014 * [taylor]: Taking taylor expansion of -1 in n 1.014 * [taylor]: Taking taylor expansion of k in n 1.016 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.016 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.016 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.016 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.016 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.016 * [taylor]: Taking taylor expansion of 1/2 in n 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.016 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.016 * [taylor]: Taking taylor expansion of k in n 1.016 * [taylor]: Taking taylor expansion of 1 in n 1.016 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.016 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.016 * [taylor]: Taking taylor expansion of -2 in n 1.016 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.016 * [taylor]: Taking taylor expansion of PI in n 1.016 * [taylor]: Taking taylor expansion of n in n 1.018 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.018 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.018 * [taylor]: Taking taylor expansion of -1 in n 1.018 * [taylor]: Taking taylor expansion of k in n 1.020 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.020 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.020 * [taylor]: Taking taylor expansion of 1/2 in k 1.020 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.020 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.020 * [taylor]: Taking taylor expansion of k in k 1.020 * [taylor]: Taking taylor expansion of 1 in k 1.020 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.020 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.020 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.020 * [taylor]: Taking taylor expansion of -2 in k 1.020 * [taylor]: Taking taylor expansion of PI in k 1.020 * [taylor]: Taking taylor expansion of (log n) in k 1.020 * [taylor]: Taking taylor expansion of n in k 1.022 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.022 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.022 * [taylor]: Taking taylor expansion of -1 in k 1.022 * [taylor]: Taking taylor expansion of k in k 1.028 * [taylor]: Taking taylor expansion of 0 in k 1.037 * [taylor]: Taking taylor expansion of 0 in k 1.048 * [taylor]: Taking taylor expansion of 0 in k 1.052 * * * [progress]: simplifying candidates 1.054 * [simplify]: Simplifying using # : (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (pow.f64 n (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (log.f64 (sqrt.f64 k))) (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (neg.f64 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) 1) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 1)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 1)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 1 1) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) 1) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 k) (pow.f64 n (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) 1) (-.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2)))) (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (pow.f64 (log.f64 n) 2))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (log.f64 n)))) (*.f64 1/2 (*.f64 k (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (log.f64 (*.f64 2 PI.f64))))))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k)))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 NAN.f64 (pow.f64 (log.f64 n) 2))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 NAN.f64 (log.f64 n)))))) (+.f64 (*.f64 k (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (pow.f64 NAN.f64 3))) (+.f64 (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) NAN.f64) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) NAN.f64)))) (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (pow.f64 NAN.f64 5)))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 (log.f64 (*.f64 2 PI.f64)) (pow.f64 NAN.f64 3))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 (log.f64 (*.f64 2 PI.f64)) NAN.f64)))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 NAN.f64 (log.f64 n))))) (*.f64 1/2 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 (pow.f64 NAN.f64 3) (log.f64 n))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 2)) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 3)) (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) k))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64) k) (/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64)) 1.103 * * [simplify]: iteration 0 : 5612 enodes (cost 3511 ) 1.119 * [simplify]: Simplified to: (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (pow.f64 n (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1 k)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) 3) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 3) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 3) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (neg.f64 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 1 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 k) (pow.f64 n (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/4 (*.f64 k k)) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))) 1) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (-.f64 (*.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 k k))) (+.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (pow.f64 (log.f64 n) 2))) (*.f64 (*.f64 k (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (-.f64 (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 k k)) (+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) NAN.f64) 1/8) (pow.f64 NAN.f64 5))) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 k (pow.f64 NAN.f64 3)) NAN.f64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 k k)) (+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 n) 2) NAN.f64) 1/8) (*.f64 (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) NAN.f64)) 1/4)))) (+.f64 (*.f64 (*.f64 k 1/2) (*.f64 NAN.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))))) (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 k k))) (+.f64 (*.f64 (log.f64 n) (pow.f64 NAN.f64 3)) (*.f64 (log.f64 (*.f64 2 PI.f64)) (pow.f64 NAN.f64 3)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (pow.f64 NAN.f64 3)) (*.f64 k k)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (+.f64 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 k 3)) (/.f64 NAN.f64 k)))) (+.f64 (/.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (/.f64 k NAN.f64)) (/.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) NAN.f64)) 1.119 * * * [progress]: adding candidates to table 1.251 * * [progress]: iteration 2 / 4 1.251 * * * [progress]: picking best candidate 1.262 * * * * [pick]: Picked # 1.262 * * * [progress]: localizing error 1.274 * * * [progress]: generating rewritten candidates 1.274 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.279 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.284 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.302 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.320 * * * [progress]: generating series expansions 1.320 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.321 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.321 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.321 * [taylor]: Taking taylor expansion of 2 in n 1.321 * [taylor]: Taking taylor expansion of (* n PI) in n 1.321 * [taylor]: Taking taylor expansion of n in n 1.321 * [taylor]: Taking taylor expansion of PI in n 1.321 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.321 * [taylor]: Taking taylor expansion of 2 in n 1.321 * [taylor]: Taking taylor expansion of (* n PI) in n 1.321 * [taylor]: Taking taylor expansion of n in n 1.321 * [taylor]: Taking taylor expansion of PI in n 1.329 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.329 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.329 * [taylor]: Taking taylor expansion of 2 in n 1.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.329 * [taylor]: Taking taylor expansion of PI in n 1.329 * [taylor]: Taking taylor expansion of n in n 1.329 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.329 * [taylor]: Taking taylor expansion of 2 in n 1.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.329 * [taylor]: Taking taylor expansion of PI in n 1.329 * [taylor]: Taking taylor expansion of n in n 1.337 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.337 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.337 * [taylor]: Taking taylor expansion of -2 in n 1.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.337 * [taylor]: Taking taylor expansion of PI in n 1.337 * [taylor]: Taking taylor expansion of n in n 1.337 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.337 * [taylor]: Taking taylor expansion of -2 in n 1.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.337 * [taylor]: Taking taylor expansion of PI in n 1.337 * [taylor]: Taking taylor expansion of n in n 1.344 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.344 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.344 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.344 * [taylor]: Taking taylor expansion of 2 in n 1.344 * [taylor]: Taking taylor expansion of (* n PI) in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.344 * [taylor]: Taking taylor expansion of PI in n 1.344 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.344 * [taylor]: Taking taylor expansion of 2 in n 1.344 * [taylor]: Taking taylor expansion of (* n PI) in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.344 * [taylor]: Taking taylor expansion of PI in n 1.352 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.352 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.352 * [taylor]: Taking taylor expansion of 2 in n 1.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.352 * [taylor]: Taking taylor expansion of PI in n 1.352 * [taylor]: Taking taylor expansion of n in n 1.353 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.353 * [taylor]: Taking taylor expansion of 2 in n 1.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.353 * [taylor]: Taking taylor expansion of PI in n 1.353 * [taylor]: Taking taylor expansion of n in n 1.360 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.360 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.360 * [taylor]: Taking taylor expansion of -2 in n 1.360 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.360 * [taylor]: Taking taylor expansion of PI in n 1.360 * [taylor]: Taking taylor expansion of n in n 1.360 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.360 * [taylor]: Taking taylor expansion of -2 in n 1.360 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.360 * [taylor]: Taking taylor expansion of PI in n 1.360 * [taylor]: Taking taylor expansion of n in n 1.367 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.367 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 1.367 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 1.367 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1.368 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.368 * [taylor]: Taking taylor expansion of 2 in k 1.368 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.368 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.368 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.368 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.368 * [taylor]: Taking taylor expansion of 1/2 in k 1.368 * [taylor]: Taking taylor expansion of k in k 1.368 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.368 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.368 * [taylor]: Taking taylor expansion of 2 in k 1.368 * [taylor]: Taking taylor expansion of (* n PI) in k 1.368 * [taylor]: Taking taylor expansion of n in k 1.368 * [taylor]: Taking taylor expansion of PI in k 1.370 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1.370 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 1.370 * [taylor]: Taking taylor expansion of (* n PI) in k 1.370 * [taylor]: Taking taylor expansion of n in k 1.370 * [taylor]: Taking taylor expansion of PI in k 1.370 * [taylor]: Taking taylor expansion of k in k 1.370 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1.370 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.371 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.371 * [taylor]: Taking taylor expansion of 2 in n 1.371 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.371 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.371 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.371 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.371 * [taylor]: Taking taylor expansion of 1/2 in n 1.371 * [taylor]: Taking taylor expansion of k in n 1.371 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.371 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.371 * [taylor]: Taking taylor expansion of 2 in n 1.371 * [taylor]: Taking taylor expansion of (* n PI) in n 1.371 * [taylor]: Taking taylor expansion of n in n 1.371 * [taylor]: Taking taylor expansion of PI in n 1.373 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1.373 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 1.373 * [taylor]: Taking taylor expansion of (* n PI) in n 1.373 * [taylor]: Taking taylor expansion of n in n 1.373 * [taylor]: Taking taylor expansion of PI in n 1.373 * [taylor]: Taking taylor expansion of k in n 1.373 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1.373 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.373 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.373 * [taylor]: Taking taylor expansion of 2 in n 1.374 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.374 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.374 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.374 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.374 * [taylor]: Taking taylor expansion of 1/2 in n 1.374 * [taylor]: Taking taylor expansion of k in n 1.374 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.374 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.374 * [taylor]: Taking taylor expansion of 2 in n 1.374 * [taylor]: Taking taylor expansion of (* n PI) in n 1.374 * [taylor]: Taking taylor expansion of n in n 1.374 * [taylor]: Taking taylor expansion of PI in n 1.376 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1.376 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 1.376 * [taylor]: Taking taylor expansion of (* n PI) in n 1.376 * [taylor]: Taking taylor expansion of n in n 1.376 * [taylor]: Taking taylor expansion of PI in n 1.376 * [taylor]: Taking taylor expansion of k in n 1.377 * [taylor]: Taking taylor expansion of 0 in k 1.382 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* NAN PI)) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 1.382 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 1.382 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.382 * [taylor]: Taking taylor expansion of 2 in k 1.382 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.382 * [taylor]: Taking taylor expansion of NAN in k 1.382 * [taylor]: Taking taylor expansion of PI in k 1.382 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.382 * [taylor]: Taking taylor expansion of k in k 1.382 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.382 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.382 * [taylor]: Taking taylor expansion of 1/2 in k 1.382 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.382 * [taylor]: Taking taylor expansion of k in k 1.382 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.382 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.382 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.382 * [taylor]: Taking taylor expansion of 2 in k 1.382 * [taylor]: Taking taylor expansion of PI in k 1.383 * [taylor]: Taking taylor expansion of (log n) in k 1.383 * [taylor]: Taking taylor expansion of n in k 1.394 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 1.394 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 1.394 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.394 * [taylor]: Taking taylor expansion of 2 in k 1.395 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.395 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.395 * [taylor]: Taking taylor expansion of NAN in k 1.395 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.395 * [taylor]: Taking taylor expansion of PI in k 1.395 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.395 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.395 * [taylor]: Taking taylor expansion of k in k 1.395 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.395 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.395 * [taylor]: Taking taylor expansion of 1/2 in k 1.395 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.395 * [taylor]: Taking taylor expansion of k in k 1.395 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.395 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.395 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.395 * [taylor]: Taking taylor expansion of 2 in k 1.395 * [taylor]: Taking taylor expansion of PI in k 1.395 * [taylor]: Taking taylor expansion of (log n) in k 1.395 * [taylor]: Taking taylor expansion of n in k 1.419 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 1.419 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 1.419 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1.419 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in k 1.419 * [taylor]: Taking taylor expansion of (* PI k) in k 1.419 * [taylor]: Taking taylor expansion of PI in k 1.419 * [taylor]: Taking taylor expansion of k in k 1.419 * [taylor]: Taking taylor expansion of n in k 1.420 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1.420 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.420 * [taylor]: Taking taylor expansion of 2 in k 1.420 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.420 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.420 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.420 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.420 * [taylor]: Taking taylor expansion of 1/2 in k 1.420 * [taylor]: Taking taylor expansion of k in k 1.420 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.420 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.421 * [taylor]: Taking taylor expansion of 2 in k 1.421 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.421 * [taylor]: Taking taylor expansion of PI in k 1.421 * [taylor]: Taking taylor expansion of n in k 1.422 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.422 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1.422 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in n 1.422 * [taylor]: Taking taylor expansion of (* PI k) in n 1.422 * [taylor]: Taking taylor expansion of PI in n 1.422 * [taylor]: Taking taylor expansion of k in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.423 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.423 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.423 * [taylor]: Taking taylor expansion of 2 in n 1.423 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.423 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.423 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.423 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.423 * [taylor]: Taking taylor expansion of 1/2 in n 1.423 * [taylor]: Taking taylor expansion of k in n 1.423 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.423 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.423 * [taylor]: Taking taylor expansion of 2 in n 1.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.423 * [taylor]: Taking taylor expansion of PI in n 1.423 * [taylor]: Taking taylor expansion of n in n 1.425 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.425 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1.425 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in n 1.425 * [taylor]: Taking taylor expansion of (* PI k) in n 1.425 * [taylor]: Taking taylor expansion of PI in n 1.425 * [taylor]: Taking taylor expansion of k in n 1.425 * [taylor]: Taking taylor expansion of n in n 1.426 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.426 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.426 * [taylor]: Taking taylor expansion of 2 in n 1.426 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.426 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.426 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.426 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.426 * [taylor]: Taking taylor expansion of 1/2 in n 1.426 * [taylor]: Taking taylor expansion of k in n 1.426 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.426 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.426 * [taylor]: Taking taylor expansion of 2 in n 1.426 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.426 * [taylor]: Taking taylor expansion of PI in n 1.426 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of 0 in k 1.434 * [taylor]: Taking taylor expansion of (/ (* k (* (sqrt 2) (* NAN PI))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.434 * [taylor]: Taking taylor expansion of (* k (* (sqrt 2) (* NAN PI))) in k 1.434 * [taylor]: Taking taylor expansion of k in k 1.434 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 1.434 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.434 * [taylor]: Taking taylor expansion of 2 in k 1.435 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.435 * [taylor]: Taking taylor expansion of NAN in k 1.435 * [taylor]: Taking taylor expansion of PI in k 1.435 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.435 * [taylor]: Taking taylor expansion of 1/2 in k 1.435 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.435 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.435 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.435 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.435 * [taylor]: Taking taylor expansion of 2 in k 1.435 * [taylor]: Taking taylor expansion of PI in k 1.435 * [taylor]: Taking taylor expansion of (log n) in k 1.435 * [taylor]: Taking taylor expansion of n in k 1.435 * [taylor]: Taking taylor expansion of k in k 1.448 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.449 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 1.449 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.449 * [taylor]: Taking taylor expansion of k in k 1.449 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 1.449 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.449 * [taylor]: Taking taylor expansion of 2 in k 1.449 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.449 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.449 * [taylor]: Taking taylor expansion of NAN in k 1.449 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.449 * [taylor]: Taking taylor expansion of PI in k 1.449 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.449 * [taylor]: Taking taylor expansion of 1/2 in k 1.449 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.449 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.449 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.449 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.449 * [taylor]: Taking taylor expansion of 2 in k 1.449 * [taylor]: Taking taylor expansion of PI in k 1.449 * [taylor]: Taking taylor expansion of (log n) in k 1.449 * [taylor]: Taking taylor expansion of n in k 1.449 * [taylor]: Taking taylor expansion of k in k 1.469 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.469 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) in k 1.469 * [taylor]: Taking taylor expansion of (pow k 3) in k 1.469 * [taylor]: Taking taylor expansion of k in k 1.469 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 1.469 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.469 * [taylor]: Taking taylor expansion of 2 in k 1.469 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 1.469 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 1.469 * [taylor]: Taking taylor expansion of NAN in k 1.469 * [taylor]: Taking taylor expansion of (pow PI 3) in k 1.469 * [taylor]: Taking taylor expansion of PI in k 1.469 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.469 * [taylor]: Taking taylor expansion of 1/2 in k 1.469 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.469 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.469 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.469 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.469 * [taylor]: Taking taylor expansion of 2 in k 1.469 * [taylor]: Taking taylor expansion of PI in k 1.469 * [taylor]: Taking taylor expansion of (log n) in k 1.469 * [taylor]: Taking taylor expansion of n in k 1.469 * [taylor]: Taking taylor expansion of k in k 1.490 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.490 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 1.490 * [taylor]: Taking taylor expansion of (pow k 4) in k 1.490 * [taylor]: Taking taylor expansion of k in k 1.490 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 1.490 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.490 * [taylor]: Taking taylor expansion of 2 in k 1.491 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 1.491 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 1.491 * [taylor]: Taking taylor expansion of NAN in k 1.491 * [taylor]: Taking taylor expansion of (pow PI 4) in k 1.491 * [taylor]: Taking taylor expansion of PI in k 1.491 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.491 * [taylor]: Taking taylor expansion of 1/2 in k 1.491 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.491 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.491 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.491 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.491 * [taylor]: Taking taylor expansion of 2 in k 1.491 * [taylor]: Taking taylor expansion of PI in k 1.491 * [taylor]: Taking taylor expansion of (log n) in k 1.491 * [taylor]: Taking taylor expansion of n in k 1.491 * [taylor]: Taking taylor expansion of k in k 1.519 * [taylor]: Taking taylor expansion of (/ (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.519 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) in k 1.519 * [taylor]: Taking taylor expansion of (pow k 5) in k 1.519 * [taylor]: Taking taylor expansion of k in k 1.519 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 9) (pow PI 5))) in k 1.519 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.519 * [taylor]: Taking taylor expansion of 2 in k 1.519 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 1.519 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 1.519 * [taylor]: Taking taylor expansion of NAN in k 1.519 * [taylor]: Taking taylor expansion of (pow PI 5) in k 1.519 * [taylor]: Taking taylor expansion of PI in k 1.519 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.519 * [taylor]: Taking taylor expansion of 1/2 in k 1.519 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.519 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.519 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.519 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.519 * [taylor]: Taking taylor expansion of 2 in k 1.519 * [taylor]: Taking taylor expansion of PI in k 1.519 * [taylor]: Taking taylor expansion of (log n) in k 1.519 * [taylor]: Taking taylor expansion of n in k 1.519 * [taylor]: Taking taylor expansion of k in k 1.555 * [taylor]: Taking taylor expansion of (/ (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.555 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 1.555 * [taylor]: Taking taylor expansion of (pow k 6) in k 1.555 * [taylor]: Taking taylor expansion of k in k 1.555 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 1.555 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.555 * [taylor]: Taking taylor expansion of 2 in k 1.555 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 1.555 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 1.555 * [taylor]: Taking taylor expansion of NAN in k 1.555 * [taylor]: Taking taylor expansion of (pow PI 6) in k 1.555 * [taylor]: Taking taylor expansion of PI in k 1.555 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.555 * [taylor]: Taking taylor expansion of 1/2 in k 1.555 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.555 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.555 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.555 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.555 * [taylor]: Taking taylor expansion of 2 in k 1.555 * [taylor]: Taking taylor expansion of PI in k 1.556 * [taylor]: Taking taylor expansion of (log n) in k 1.556 * [taylor]: Taking taylor expansion of n in k 1.556 * [taylor]: Taking taylor expansion of k in k 1.567 * [approximate]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in (n k) around 0 1.567 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 1.567 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1.567 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.567 * [taylor]: Taking taylor expansion of -2 in k 1.567 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.568 * [taylor]: Taking taylor expansion of PI in k 1.568 * [taylor]: Taking taylor expansion of n in k 1.569 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 1.569 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.569 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.569 * [taylor]: Taking taylor expansion of -1 in k 1.569 * [taylor]: Taking taylor expansion of k in k 1.569 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.569 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.569 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.569 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.569 * [taylor]: Taking taylor expansion of -1/2 in k 1.569 * [taylor]: Taking taylor expansion of k in k 1.569 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.569 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.569 * [taylor]: Taking taylor expansion of -2 in k 1.569 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.569 * [taylor]: Taking taylor expansion of PI in k 1.569 * [taylor]: Taking taylor expansion of n in k 1.571 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 1.571 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.571 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.571 * [taylor]: Taking taylor expansion of -2 in n 1.571 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.571 * [taylor]: Taking taylor expansion of PI in n 1.571 * [taylor]: Taking taylor expansion of n in n 1.572 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 1.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.572 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.572 * [taylor]: Taking taylor expansion of -1 in n 1.572 * [taylor]: Taking taylor expansion of k in n 1.572 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.572 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.572 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.572 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.572 * [taylor]: Taking taylor expansion of -1/2 in n 1.572 * [taylor]: Taking taylor expansion of k in n 1.573 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.573 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.573 * [taylor]: Taking taylor expansion of -2 in n 1.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.573 * [taylor]: Taking taylor expansion of PI in n 1.573 * [taylor]: Taking taylor expansion of n in n 1.575 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 1.575 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.575 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.575 * [taylor]: Taking taylor expansion of -2 in n 1.575 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.575 * [taylor]: Taking taylor expansion of PI in n 1.575 * [taylor]: Taking taylor expansion of n in n 1.575 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 1.575 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.575 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.575 * [taylor]: Taking taylor expansion of -1 in n 1.575 * [taylor]: Taking taylor expansion of k in n 1.576 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.576 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.576 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.576 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.576 * [taylor]: Taking taylor expansion of -1/2 in n 1.576 * [taylor]: Taking taylor expansion of k in n 1.576 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.576 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.576 * [taylor]: Taking taylor expansion of -2 in n 1.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.576 * [taylor]: Taking taylor expansion of PI in n 1.576 * [taylor]: Taking taylor expansion of n in n 1.579 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1.579 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.579 * [taylor]: Taking taylor expansion of NAN in k 1.579 * [taylor]: Taking taylor expansion of PI in k 1.579 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.579 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.579 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.579 * [taylor]: Taking taylor expansion of -1 in k 1.579 * [taylor]: Taking taylor expansion of k in k 1.579 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.579 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.579 * [taylor]: Taking taylor expansion of -1/2 in k 1.579 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.579 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.579 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.579 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.579 * [taylor]: Taking taylor expansion of -2 in k 1.579 * [taylor]: Taking taylor expansion of PI in k 1.579 * [taylor]: Taking taylor expansion of (log n) in k 1.579 * [taylor]: Taking taylor expansion of n in k 1.579 * [taylor]: Taking taylor expansion of k in k 1.589 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1.589 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.589 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.589 * [taylor]: Taking taylor expansion of NAN in k 1.589 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.589 * [taylor]: Taking taylor expansion of PI in k 1.589 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.589 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.589 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.589 * [taylor]: Taking taylor expansion of -1 in k 1.589 * [taylor]: Taking taylor expansion of k in k 1.589 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.589 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.589 * [taylor]: Taking taylor expansion of -1/2 in k 1.589 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.589 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.589 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.589 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.589 * [taylor]: Taking taylor expansion of -2 in k 1.589 * [taylor]: Taking taylor expansion of PI in k 1.590 * [taylor]: Taking taylor expansion of (log n) in k 1.590 * [taylor]: Taking taylor expansion of n in k 1.590 * [taylor]: Taking taylor expansion of k in k 1.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.602 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1.602 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.602 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.603 * [taylor]: Taking taylor expansion of 2 in n 1.603 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.603 * [taylor]: Taking taylor expansion of (* n PI) in n 1.603 * [taylor]: Taking taylor expansion of n in n 1.603 * [taylor]: Taking taylor expansion of PI in n 1.603 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.603 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.603 * [taylor]: Taking taylor expansion of 2 in n 1.603 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.603 * [taylor]: Taking taylor expansion of (* n PI) in n 1.603 * [taylor]: Taking taylor expansion of n in n 1.603 * [taylor]: Taking taylor expansion of PI in n 1.611 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1.611 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1.611 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.611 * [taylor]: Taking taylor expansion of 2 in n 1.612 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 1.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.612 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1.612 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.612 * [taylor]: Taking taylor expansion of 2 in n 1.612 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 1.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.620 * [approximate]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1.620 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.620 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.620 * [taylor]: Taking taylor expansion of -2 in n 1.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.620 * [taylor]: Taking taylor expansion of PI in n 1.620 * [taylor]: Taking taylor expansion of n in n 1.621 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.621 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.621 * [taylor]: Taking taylor expansion of -2 in n 1.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.621 * [taylor]: Taking taylor expansion of PI in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.625 * * * [progress]: simplifying candidates 1.632 * [simplify]: Simplifying using # : (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (-.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (exp.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (neg.f64 (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 1)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 1)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 1)) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) 1) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 1)) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) 1) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 1)) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 1) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) 1) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) 1) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) 1) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) 1) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) 1) (sqrt.f64 1)) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) 1) 1) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 1)) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) 1) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) 1) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) 1) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 1) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1) 1) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) 1) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) 1) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) 1) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 1) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) 1) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) 1) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) 1) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) 1) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) 1) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) 1) 1) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) 1) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 k)) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 1 1) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 1) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 1) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 1) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 1) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 1 1) 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 k)) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 1 1) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 1)) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) 1) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 k 2) 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 1)) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) 1) (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 1 2) (/.f64 1 2) (/.f64 1 2) (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (-.f64 (/.f64 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 n PI.f64))) k) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 n 2) (pow.f64 PI.f64 2))))) k)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (pow.f64 n 2) (sqrt.f64 2))))) k)) (+.f64 (*.f64 1/2 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 (*.f64 n (log.f64 n)))))) (*.f64 1/2 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 n PI.f64))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (pow.f64 NAN.f64 3) (sqrt.f64 2))) (*.f64 n (*.f64 (pow.f64 k 2) (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))))))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 5) (pow.f64 PI.f64 3))) (*.f64 (pow.f64 k 3) (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))))))))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 NAN.f64 PI.f64)) (*.f64 k (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n)))))))))) (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 2) PI.f64) (*.f64 k (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))))) (/.f64 PI.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))))) (/.f64 (*.f64 (pow.f64 NAN.f64 2) (pow.f64 PI.f64 2)) (*.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))) n))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 n 3) (pow.f64 PI.f64 3)))) (+.f64 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 n PI.f64))) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 n 2) (pow.f64 PI.f64 2)))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (*.f64 (sqrt.f64 2) (pow.f64 PI.f64 3))) (pow.f64 n 2)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 NAN.f64 PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 3) (pow.f64 PI.f64 2))) n))) (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 PI.f64 3)) (pow.f64 n 2)) (*.f64 NAN.f64 PI.f64)) (/.f64 (*.f64 (pow.f64 NAN.f64 3) (pow.f64 PI.f64 2)) n)) 1.734 * * [simplify]: iteration 0 : 5004 enodes (cost 11742 ) 1.783 * [simplify]: Simplified to: (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (exp.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) 3) (*.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) 3) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) 3) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (neg.f64 (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (fabs.f64 (cbrt.f64 k))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (fabs.f64 (cbrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (fabs.f64 (cbrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (*.f64 2 PI.f64)) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 (*.f64 2 PI.f64)) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (fabs.f64 (cbrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) 1 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (fabs.f64 (cbrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 k)) (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) 1 (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (pow.f64 n (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 n (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) 3) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1/2 1/2 1/2 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (-.f64 (/.f64 (*.f64 NAN.f64 (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2))) k) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 n n) (pow.f64 PI.f64 2))))) k) (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (*.f64 n n) (sqrt.f64 2))))) k) (*.f64 (*.f64 NAN.f64 (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2))) (log.f64 (*.f64 (*.f64 2 PI.f64) n))))))) (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (sqrt.f64 2) (pow.f64 NAN.f64 3))) (*.f64 n (*.f64 (*.f64 k k) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k))))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k))) (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5)) (*.f64 (*.f64 n n) (pow.f64 k 3))) (/.f64 (*.f64 PI.f64 NAN.f64) k)))) (+.f64 (/.f64 PI.f64 (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))) (*.f64 (/.f64 (pow.f64 NAN.f64 2) (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))) (-.f64 (/.f64 PI.f64 k) (/.f64 (pow.f64 PI.f64 2) n)))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5)))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 NAN.f64 (*.f64 PI.f64 n)) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (*.f64 n n) (pow.f64 PI.f64 2)))))) (+.f64 (*.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 n n)) (*.f64 (pow.f64 PI.f64 3) (sqrt.f64 2))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 NAN.f64)) (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (sqrt.f64 2) (pow.f64 NAN.f64 3))) n))) (+.f64 (*.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 n n)) (pow.f64 PI.f64 3)) (-.f64 (*.f64 PI.f64 NAN.f64) (/.f64 (*.f64 (pow.f64 PI.f64 2) (pow.f64 NAN.f64 3)) n))) 1.785 * * * [progress]: adding candidates to table 2.115 * * [progress]: iteration 3 / 4 2.115 * * * [progress]: picking best candidate 2.127 * * * * [pick]: Picked # 2.127 * * * [progress]: localizing error 2.138 * * * [progress]: generating rewritten candidates 2.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.143 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.148 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.159 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.165 * * * [progress]: generating series expansions 2.165 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.165 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.165 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.165 * [taylor]: Taking taylor expansion of 2 in n 2.165 * [taylor]: Taking taylor expansion of (* n PI) in n 2.165 * [taylor]: Taking taylor expansion of n in n 2.165 * [taylor]: Taking taylor expansion of PI in n 2.165 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.165 * [taylor]: Taking taylor expansion of 2 in n 2.165 * [taylor]: Taking taylor expansion of (* n PI) in n 2.165 * [taylor]: Taking taylor expansion of n in n 2.165 * [taylor]: Taking taylor expansion of PI in n 2.173 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.173 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.173 * [taylor]: Taking taylor expansion of 2 in n 2.173 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.173 * [taylor]: Taking taylor expansion of PI in n 2.173 * [taylor]: Taking taylor expansion of n in n 2.173 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.173 * [taylor]: Taking taylor expansion of 2 in n 2.173 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.173 * [taylor]: Taking taylor expansion of PI in n 2.173 * [taylor]: Taking taylor expansion of n in n 2.182 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.182 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.182 * [taylor]: Taking taylor expansion of -2 in n 2.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.182 * [taylor]: Taking taylor expansion of PI in n 2.183 * [taylor]: Taking taylor expansion of n in n 2.183 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.183 * [taylor]: Taking taylor expansion of -2 in n 2.183 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.183 * [taylor]: Taking taylor expansion of PI in n 2.183 * [taylor]: Taking taylor expansion of n in n 2.188 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.189 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.189 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.189 * [taylor]: Taking taylor expansion of 2 in n 2.189 * [taylor]: Taking taylor expansion of (* n PI) in n 2.189 * [taylor]: Taking taylor expansion of n in n 2.189 * [taylor]: Taking taylor expansion of PI in n 2.189 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.189 * [taylor]: Taking taylor expansion of 2 in n 2.189 * [taylor]: Taking taylor expansion of (* n PI) in n 2.189 * [taylor]: Taking taylor expansion of n in n 2.189 * [taylor]: Taking taylor expansion of PI in n 2.195 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.195 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.195 * [taylor]: Taking taylor expansion of 2 in n 2.195 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.195 * [taylor]: Taking taylor expansion of PI in n 2.195 * [taylor]: Taking taylor expansion of n in n 2.195 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.195 * [taylor]: Taking taylor expansion of 2 in n 2.195 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.195 * [taylor]: Taking taylor expansion of PI in n 2.195 * [taylor]: Taking taylor expansion of n in n 2.201 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.201 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.201 * [taylor]: Taking taylor expansion of -2 in n 2.201 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.201 * [taylor]: Taking taylor expansion of PI in n 2.201 * [taylor]: Taking taylor expansion of n in n 2.201 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.201 * [taylor]: Taking taylor expansion of -2 in n 2.201 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.201 * [taylor]: Taking taylor expansion of PI in n 2.201 * [taylor]: Taking taylor expansion of n in n 2.207 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.208 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in (n k) around 0 2.208 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in k 2.208 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 2.208 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 2.208 * [taylor]: Taking taylor expansion of (* n PI) in k 2.208 * [taylor]: Taking taylor expansion of n in k 2.208 * [taylor]: Taking taylor expansion of PI in k 2.208 * [taylor]: Taking taylor expansion of k in k 2.208 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 2.208 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.208 * [taylor]: Taking taylor expansion of 2 in k 2.208 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 2.208 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 2.208 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 2.208 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 2.208 * [taylor]: Taking taylor expansion of 1/2 in k 2.209 * [taylor]: Taking taylor expansion of k in k 2.209 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 2.209 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 2.209 * [taylor]: Taking taylor expansion of 2 in k 2.209 * [taylor]: Taking taylor expansion of (* n PI) in k 2.209 * [taylor]: Taking taylor expansion of n in k 2.209 * [taylor]: Taking taylor expansion of PI in k 2.211 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in n 2.211 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.211 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.211 * [taylor]: Taking taylor expansion of (* n PI) in n 2.211 * [taylor]: Taking taylor expansion of n in n 2.211 * [taylor]: Taking taylor expansion of PI in n 2.211 * [taylor]: Taking taylor expansion of k in n 2.211 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 2.211 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.211 * [taylor]: Taking taylor expansion of 2 in n 2.211 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 2.211 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 2.211 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 2.211 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 2.211 * [taylor]: Taking taylor expansion of 1/2 in n 2.212 * [taylor]: Taking taylor expansion of k in n 2.212 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.212 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.212 * [taylor]: Taking taylor expansion of 2 in n 2.212 * [taylor]: Taking taylor expansion of (* n PI) in n 2.212 * [taylor]: Taking taylor expansion of n in n 2.212 * [taylor]: Taking taylor expansion of PI in n 2.213 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in n 2.214 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.214 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.214 * [taylor]: Taking taylor expansion of (* n PI) in n 2.214 * [taylor]: Taking taylor expansion of n in n 2.214 * [taylor]: Taking taylor expansion of PI in n 2.214 * [taylor]: Taking taylor expansion of k in n 2.214 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 2.214 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.214 * [taylor]: Taking taylor expansion of 2 in n 2.214 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 2.214 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 2.214 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 2.214 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 2.214 * [taylor]: Taking taylor expansion of 1/2 in n 2.214 * [taylor]: Taking taylor expansion of k in n 2.214 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.214 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.215 * [taylor]: Taking taylor expansion of 2 in n 2.215 * [taylor]: Taking taylor expansion of (* n PI) in n 2.215 * [taylor]: Taking taylor expansion of n in n 2.215 * [taylor]: Taking taylor expansion of PI in n 2.217 * [taylor]: Taking taylor expansion of 0 in k 2.221 * [taylor]: Taking taylor expansion of (/ (* PI (* NAN (sqrt 2))) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 2.221 * [taylor]: Taking taylor expansion of (* PI (* NAN (sqrt 2))) in k 2.221 * [taylor]: Taking taylor expansion of PI in k 2.221 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2)) in k 2.221 * [taylor]: Taking taylor expansion of NAN in k 2.221 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.222 * [taylor]: Taking taylor expansion of 2 in k 2.222 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 2.222 * [taylor]: Taking taylor expansion of k in k 2.222 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 2.222 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 2.222 * [taylor]: Taking taylor expansion of 1/2 in k 2.222 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 2.222 * [taylor]: Taking taylor expansion of k in k 2.222 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 2.222 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.222 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.222 * [taylor]: Taking taylor expansion of 2 in k 2.222 * [taylor]: Taking taylor expansion of PI in k 2.222 * [taylor]: Taking taylor expansion of (log n) in k 2.222 * [taylor]: Taking taylor expansion of n in k 2.234 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 2.234 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) in k 2.234 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.234 * [taylor]: Taking taylor expansion of NAN in k 2.234 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 2.234 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.234 * [taylor]: Taking taylor expansion of 2 in k 2.234 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.234 * [taylor]: Taking taylor expansion of PI in k 2.234 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 2.234 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.234 * [taylor]: Taking taylor expansion of k in k 2.234 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 2.234 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 2.234 * [taylor]: Taking taylor expansion of 1/2 in k 2.234 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 2.234 * [taylor]: Taking taylor expansion of k in k 2.234 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 2.234 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.234 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.234 * [taylor]: Taking taylor expansion of 2 in k 2.234 * [taylor]: Taking taylor expansion of PI in k 2.235 * [taylor]: Taking taylor expansion of (log n) in k 2.235 * [taylor]: Taking taylor expansion of n in k 2.258 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 2.258 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 2.258 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in k 2.258 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in k 2.258 * [taylor]: Taking taylor expansion of (* k PI) in k 2.258 * [taylor]: Taking taylor expansion of k in k 2.258 * [taylor]: Taking taylor expansion of PI in k 2.258 * [taylor]: Taking taylor expansion of n in k 2.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 2.258 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.258 * [taylor]: Taking taylor expansion of 2 in k 2.259 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 2.259 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 2.259 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 2.259 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 2.259 * [taylor]: Taking taylor expansion of 1/2 in k 2.259 * [taylor]: Taking taylor expansion of k in k 2.259 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 2.259 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 2.259 * [taylor]: Taking taylor expansion of 2 in k 2.259 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.259 * [taylor]: Taking taylor expansion of PI in k 2.259 * [taylor]: Taking taylor expansion of n in k 2.260 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 2.260 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.260 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.260 * [taylor]: Taking taylor expansion of (* k PI) in n 2.260 * [taylor]: Taking taylor expansion of k in n 2.260 * [taylor]: Taking taylor expansion of PI in n 2.260 * [taylor]: Taking taylor expansion of n in n 2.261 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 2.261 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.261 * [taylor]: Taking taylor expansion of 2 in n 2.261 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 2.261 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 2.261 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 2.261 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 2.261 * [taylor]: Taking taylor expansion of 1/2 in n 2.261 * [taylor]: Taking taylor expansion of k in n 2.261 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.261 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.261 * [taylor]: Taking taylor expansion of 2 in n 2.261 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.261 * [taylor]: Taking taylor expansion of PI in n 2.261 * [taylor]: Taking taylor expansion of n in n 2.263 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 2.263 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.263 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.263 * [taylor]: Taking taylor expansion of (* k PI) in n 2.263 * [taylor]: Taking taylor expansion of k in n 2.263 * [taylor]: Taking taylor expansion of PI in n 2.263 * [taylor]: Taking taylor expansion of n in n 2.263 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 2.263 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.264 * [taylor]: Taking taylor expansion of 2 in n 2.264 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 2.264 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 2.264 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 2.264 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 2.264 * [taylor]: Taking taylor expansion of 1/2 in n 2.264 * [taylor]: Taking taylor expansion of k in n 2.264 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.264 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.264 * [taylor]: Taking taylor expansion of 2 in n 2.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.264 * [taylor]: Taking taylor expansion of PI in n 2.264 * [taylor]: Taking taylor expansion of n in n 2.266 * [taylor]: Taking taylor expansion of 0 in k 2.271 * [taylor]: Taking taylor expansion of (/ (* k (* (sqrt 2) (* NAN PI))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.271 * [taylor]: Taking taylor expansion of (* k (* (sqrt 2) (* NAN PI))) in k 2.271 * [taylor]: Taking taylor expansion of k in k 2.271 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 2.271 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.271 * [taylor]: Taking taylor expansion of 2 in k 2.271 * [taylor]: Taking taylor expansion of (* NAN PI) in k 2.271 * [taylor]: Taking taylor expansion of NAN in k 2.271 * [taylor]: Taking taylor expansion of PI in k 2.271 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.271 * [taylor]: Taking taylor expansion of 1/2 in k 2.271 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.271 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.271 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.272 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.272 * [taylor]: Taking taylor expansion of 2 in k 2.272 * [taylor]: Taking taylor expansion of PI in k 2.272 * [taylor]: Taking taylor expansion of (log n) in k 2.272 * [taylor]: Taking taylor expansion of n in k 2.272 * [taylor]: Taking taylor expansion of k in k 2.283 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.283 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 2.283 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.283 * [taylor]: Taking taylor expansion of k in k 2.283 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 2.283 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.283 * [taylor]: Taking taylor expansion of 2 in k 2.283 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.283 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.283 * [taylor]: Taking taylor expansion of NAN in k 2.283 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.283 * [taylor]: Taking taylor expansion of PI in k 2.283 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.283 * [taylor]: Taking taylor expansion of 1/2 in k 2.283 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.283 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.283 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.283 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.283 * [taylor]: Taking taylor expansion of 2 in k 2.283 * [taylor]: Taking taylor expansion of PI in k 2.284 * [taylor]: Taking taylor expansion of (log n) in k 2.284 * [taylor]: Taking taylor expansion of n in k 2.284 * [taylor]: Taking taylor expansion of k in k 2.299 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.299 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) in k 2.299 * [taylor]: Taking taylor expansion of (pow k 3) in k 2.299 * [taylor]: Taking taylor expansion of k in k 2.299 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 2.299 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.299 * [taylor]: Taking taylor expansion of 2 in k 2.299 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 2.299 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 2.299 * [taylor]: Taking taylor expansion of NAN in k 2.299 * [taylor]: Taking taylor expansion of (pow PI 3) in k 2.299 * [taylor]: Taking taylor expansion of PI in k 2.299 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.299 * [taylor]: Taking taylor expansion of 1/2 in k 2.299 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.299 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.299 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.299 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.299 * [taylor]: Taking taylor expansion of 2 in k 2.299 * [taylor]: Taking taylor expansion of PI in k 2.300 * [taylor]: Taking taylor expansion of (log n) in k 2.300 * [taylor]: Taking taylor expansion of n in k 2.300 * [taylor]: Taking taylor expansion of k in k 2.321 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.321 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 2.321 * [taylor]: Taking taylor expansion of (pow k 4) in k 2.321 * [taylor]: Taking taylor expansion of k in k 2.321 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 2.321 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.321 * [taylor]: Taking taylor expansion of 2 in k 2.321 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 2.321 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 2.321 * [taylor]: Taking taylor expansion of NAN in k 2.321 * [taylor]: Taking taylor expansion of (pow PI 4) in k 2.321 * [taylor]: Taking taylor expansion of PI in k 2.321 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.321 * [taylor]: Taking taylor expansion of 1/2 in k 2.321 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.321 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.321 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.321 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.321 * [taylor]: Taking taylor expansion of 2 in k 2.321 * [taylor]: Taking taylor expansion of PI in k 2.321 * [taylor]: Taking taylor expansion of (log n) in k 2.321 * [taylor]: Taking taylor expansion of n in k 2.322 * [taylor]: Taking taylor expansion of k in k 2.350 * [taylor]: Taking taylor expansion of (/ (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.350 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) in k 2.350 * [taylor]: Taking taylor expansion of (pow k 5) in k 2.350 * [taylor]: Taking taylor expansion of k in k 2.350 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 9) (pow PI 5))) in k 2.350 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.350 * [taylor]: Taking taylor expansion of 2 in k 2.350 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 2.350 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 2.350 * [taylor]: Taking taylor expansion of NAN in k 2.350 * [taylor]: Taking taylor expansion of (pow PI 5) in k 2.350 * [taylor]: Taking taylor expansion of PI in k 2.350 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.350 * [taylor]: Taking taylor expansion of 1/2 in k 2.350 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.350 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.350 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.350 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.350 * [taylor]: Taking taylor expansion of 2 in k 2.350 * [taylor]: Taking taylor expansion of PI in k 2.351 * [taylor]: Taking taylor expansion of (log n) in k 2.351 * [taylor]: Taking taylor expansion of n in k 2.351 * [taylor]: Taking taylor expansion of k in k 2.386 * [taylor]: Taking taylor expansion of (/ (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.386 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 2.386 * [taylor]: Taking taylor expansion of (pow k 6) in k 2.386 * [taylor]: Taking taylor expansion of k in k 2.386 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 2.386 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.386 * [taylor]: Taking taylor expansion of 2 in k 2.386 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 2.386 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 2.386 * [taylor]: Taking taylor expansion of NAN in k 2.386 * [taylor]: Taking taylor expansion of (pow PI 6) in k 2.386 * [taylor]: Taking taylor expansion of PI in k 2.386 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.386 * [taylor]: Taking taylor expansion of 1/2 in k 2.386 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.386 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.386 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.386 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.386 * [taylor]: Taking taylor expansion of 2 in k 2.386 * [taylor]: Taking taylor expansion of PI in k 2.386 * [taylor]: Taking taylor expansion of (log n) in k 2.386 * [taylor]: Taking taylor expansion of n in k 2.386 * [taylor]: Taking taylor expansion of k in k 2.399 * [approximate]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in (n k) around 0 2.399 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 2.399 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 2.399 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.399 * [taylor]: Taking taylor expansion of -2 in k 2.399 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.399 * [taylor]: Taking taylor expansion of PI in k 2.399 * [taylor]: Taking taylor expansion of n in k 2.400 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 2.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.400 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.400 * [taylor]: Taking taylor expansion of -1 in k 2.400 * [taylor]: Taking taylor expansion of k in k 2.400 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 2.400 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 2.400 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 2.400 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 2.400 * [taylor]: Taking taylor expansion of -1/2 in k 2.400 * [taylor]: Taking taylor expansion of k in k 2.400 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 2.400 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.400 * [taylor]: Taking taylor expansion of -2 in k 2.400 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.400 * [taylor]: Taking taylor expansion of PI in k 2.400 * [taylor]: Taking taylor expansion of n in k 2.403 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 2.403 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.403 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.403 * [taylor]: Taking taylor expansion of -2 in n 2.403 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.403 * [taylor]: Taking taylor expansion of PI in n 2.403 * [taylor]: Taking taylor expansion of n in n 2.403 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 2.403 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.403 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.403 * [taylor]: Taking taylor expansion of -1 in n 2.403 * [taylor]: Taking taylor expansion of k in n 2.404 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 2.404 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 2.404 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 2.404 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 2.404 * [taylor]: Taking taylor expansion of -1/2 in n 2.404 * [taylor]: Taking taylor expansion of k in n 2.404 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.404 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.404 * [taylor]: Taking taylor expansion of -2 in n 2.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.404 * [taylor]: Taking taylor expansion of PI in n 2.404 * [taylor]: Taking taylor expansion of n in n 2.406 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 2.406 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.406 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.406 * [taylor]: Taking taylor expansion of -2 in n 2.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.406 * [taylor]: Taking taylor expansion of PI in n 2.406 * [taylor]: Taking taylor expansion of n in n 2.407 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 2.407 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.407 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.407 * [taylor]: Taking taylor expansion of -1 in n 2.407 * [taylor]: Taking taylor expansion of k in n 2.407 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 2.407 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 2.407 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 2.407 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 2.407 * [taylor]: Taking taylor expansion of -1/2 in n 2.407 * [taylor]: Taking taylor expansion of k in n 2.408 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.408 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.408 * [taylor]: Taking taylor expansion of -2 in n 2.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.408 * [taylor]: Taking taylor expansion of PI in n 2.408 * [taylor]: Taking taylor expansion of n in n 2.410 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 2.410 * [taylor]: Taking taylor expansion of (* NAN PI) in k 2.410 * [taylor]: Taking taylor expansion of NAN in k 2.410 * [taylor]: Taking taylor expansion of PI in k 2.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 2.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.410 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.410 * [taylor]: Taking taylor expansion of -1 in k 2.410 * [taylor]: Taking taylor expansion of k in k 2.410 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 2.410 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 2.410 * [taylor]: Taking taylor expansion of -1/2 in k 2.410 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 2.410 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.411 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.411 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.411 * [taylor]: Taking taylor expansion of -2 in k 2.411 * [taylor]: Taking taylor expansion of PI in k 2.411 * [taylor]: Taking taylor expansion of (log n) in k 2.411 * [taylor]: Taking taylor expansion of n in k 2.411 * [taylor]: Taking taylor expansion of k in k 2.420 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 2.420 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.420 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.420 * [taylor]: Taking taylor expansion of NAN in k 2.420 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.420 * [taylor]: Taking taylor expansion of PI in k 2.420 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 2.420 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.420 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.420 * [taylor]: Taking taylor expansion of -1 in k 2.420 * [taylor]: Taking taylor expansion of k in k 2.421 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 2.421 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 2.421 * [taylor]: Taking taylor expansion of -1/2 in k 2.421 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 2.421 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.421 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.421 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.421 * [taylor]: Taking taylor expansion of -2 in k 2.421 * [taylor]: Taking taylor expansion of PI in k 2.421 * [taylor]: Taking taylor expansion of (log n) in k 2.421 * [taylor]: Taking taylor expansion of n in k 2.421 * [taylor]: Taking taylor expansion of k in k 2.434 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.434 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 2.434 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 2.434 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.434 * [taylor]: Taking taylor expansion of 2 in n 2.434 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 2.434 * [taylor]: Taking taylor expansion of (* n PI) in n 2.434 * [taylor]: Taking taylor expansion of n in n 2.434 * [taylor]: Taking taylor expansion of PI in n 2.435 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 2.435 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.435 * [taylor]: Taking taylor expansion of 2 in n 2.435 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 2.435 * [taylor]: Taking taylor expansion of (* n PI) in n 2.435 * [taylor]: Taking taylor expansion of n in n 2.435 * [taylor]: Taking taylor expansion of PI in n 2.443 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 2.443 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 2.443 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.443 * [taylor]: Taking taylor expansion of 2 in n 2.443 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 2.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 2.443 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.443 * [taylor]: Taking taylor expansion of 2 in n 2.444 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 2.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.444 * [taylor]: Taking taylor expansion of PI in n 2.444 * [taylor]: Taking taylor expansion of n in n 2.452 * [approximate]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 2.452 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.452 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.452 * [taylor]: Taking taylor expansion of -2 in n 2.452 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.452 * [taylor]: Taking taylor expansion of PI in n 2.452 * [taylor]: Taking taylor expansion of n in n 2.452 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.452 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.452 * [taylor]: Taking taylor expansion of -2 in n 2.452 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.452 * [taylor]: Taking taylor expansion of PI in n 2.452 * [taylor]: Taking taylor expansion of n in n 2.457 * * * [progress]: simplifying candidates 2.458 * [simplify]: Simplifying using # : (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (*.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k)) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (neg.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 k)) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 1 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 n)) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 1 2) (/.f64 1 2) (/.f64 1 2) (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 NAN.f64 (*.f64 n PI.f64))) k) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (pow.f64 n 2) (sqrt.f64 2))))) k)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 n 2) (pow.f64 PI.f64 2))))) k)) (+.f64 (*.f64 1/2 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 (*.f64 n (log.f64 n)))))) (*.f64 1/2 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 n PI.f64))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (pow.f64 NAN.f64 3) (sqrt.f64 2))) (*.f64 n (*.f64 (pow.f64 k 2) (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))))))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 5) (pow.f64 PI.f64 3))) (*.f64 (pow.f64 k 3) (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))))))))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 NAN.f64 PI.f64)) (*.f64 k (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n)))))))))) (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 2) PI.f64) (*.f64 k (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))))) (/.f64 PI.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))))) (/.f64 (*.f64 (pow.f64 NAN.f64 2) (pow.f64 PI.f64 2)) (*.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))) n))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 n 3) (pow.f64 PI.f64 3)))) (+.f64 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 n PI.f64))) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 n 2) (pow.f64 PI.f64 2)))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (*.f64 (sqrt.f64 2) (pow.f64 PI.f64 3))) (pow.f64 n 2)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 NAN.f64 PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 3) (pow.f64 PI.f64 2))) n))) (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 PI.f64 3)) (pow.f64 n 2)) (*.f64 NAN.f64 PI.f64)) (/.f64 (*.f64 (pow.f64 NAN.f64 3) (pow.f64 PI.f64 2)) n)) 2.503 * * [simplify]: iteration 0 : 5249 enodes (cost 1884 ) 2.513 * [simplify]: Simplified to: (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 3) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 3) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 3) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (neg.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 k)) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 1 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) 3) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1/2 1/2 1/2 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 PI.f64 n) NAN.f64)) k) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (*.f64 n n) (sqrt.f64 2))))) k) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 n) (*.f64 (pow.f64 PI.f64 2) (*.f64 (*.f64 n n) (sqrt.f64 2))))) k) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 PI.f64 n) NAN.f64)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))))))) (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (sqrt.f64 2) (pow.f64 NAN.f64 3))) (*.f64 n (*.f64 (*.f64 k k) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k))))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k))) (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5)) (*.f64 (*.f64 n n) (pow.f64 k 3))) (/.f64 (*.f64 PI.f64 NAN.f64) k)))) (+.f64 (/.f64 PI.f64 (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))) (*.f64 (/.f64 (pow.f64 NAN.f64 2) (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))) (-.f64 (/.f64 PI.f64 k) (/.f64 (pow.f64 PI.f64 2) n)))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5)))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 PI.f64 n) NAN.f64) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (*.f64 n n) (pow.f64 PI.f64 2)))))) (+.f64 (*.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 n n)) (*.f64 (pow.f64 PI.f64 3) (sqrt.f64 2))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 NAN.f64)) (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (sqrt.f64 2) (pow.f64 NAN.f64 3))) n))) (+.f64 (*.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 n n)) (pow.f64 PI.f64 3)) (-.f64 (*.f64 PI.f64 NAN.f64) (/.f64 (*.f64 (pow.f64 PI.f64 2) (pow.f64 NAN.f64 3)) n))) 2.514 * * * [progress]: adding candidates to table 2.586 * * [progress]: iteration 4 / 4 2.586 * * * [progress]: picking best candidate 2.596 * * * * [pick]: Picked # 2.596 * * * [progress]: localizing error 2.616 * * * [progress]: generating rewritten candidates 2.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.630 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.635 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.640 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.647 * * * [progress]: generating series expansions 2.647 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.648 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (sqrt 2)) in (n k) around 0 2.648 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (sqrt 2)) in k 2.648 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 2.648 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 2.648 * [taylor]: Taking taylor expansion of (* n PI) in k 2.648 * [taylor]: Taking taylor expansion of n in k 2.648 * [taylor]: Taking taylor expansion of PI in k 2.648 * [taylor]: Taking taylor expansion of k in k 2.648 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.648 * [taylor]: Taking taylor expansion of 2 in k 2.649 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (sqrt 2)) in n 2.649 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.649 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.649 * [taylor]: Taking taylor expansion of (* n PI) in n 2.649 * [taylor]: Taking taylor expansion of n in n 2.649 * [taylor]: Taking taylor expansion of PI in n 2.649 * [taylor]: Taking taylor expansion of k in n 2.649 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.649 * [taylor]: Taking taylor expansion of 2 in n 2.650 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (sqrt 2)) in n 2.650 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.650 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.650 * [taylor]: Taking taylor expansion of (* n PI) in n 2.650 * [taylor]: Taking taylor expansion of n in n 2.650 * [taylor]: Taking taylor expansion of PI in n 2.650 * [taylor]: Taking taylor expansion of k in n 2.650 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.650 * [taylor]: Taking taylor expansion of 2 in n 2.651 * [taylor]: Taking taylor expansion of 0 in k 2.651 * [taylor]: Taking taylor expansion of (/ (* PI (* NAN (sqrt 2))) k) in k 2.651 * [taylor]: Taking taylor expansion of (* PI (* NAN (sqrt 2))) in k 2.651 * [taylor]: Taking taylor expansion of PI in k 2.651 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2)) in k 2.651 * [taylor]: Taking taylor expansion of NAN in k 2.651 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.651 * [taylor]: Taking taylor expansion of 2 in k 2.652 * [taylor]: Taking taylor expansion of k in k 2.655 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) (pow k 2)) in k 2.655 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) in k 2.655 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.655 * [taylor]: Taking taylor expansion of NAN in k 2.655 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 2.656 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.656 * [taylor]: Taking taylor expansion of 2 in k 2.656 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.656 * [taylor]: Taking taylor expansion of PI in k 2.656 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.656 * [taylor]: Taking taylor expansion of k in k 2.668 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) (pow k 3)) in k 2.668 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 2.668 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.668 * [taylor]: Taking taylor expansion of 2 in k 2.669 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 2.669 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 2.669 * [taylor]: Taking taylor expansion of NAN in k 2.669 * [taylor]: Taking taylor expansion of (pow PI 3) in k 2.669 * [taylor]: Taking taylor expansion of PI in k 2.669 * [taylor]: Taking taylor expansion of (pow k 3) in k 2.669 * [taylor]: Taking taylor expansion of k in k 2.681 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (sqrt 2)) in (n k) around 0 2.681 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (sqrt 2)) in k 2.681 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in k 2.681 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in k 2.681 * [taylor]: Taking taylor expansion of (* k PI) in k 2.681 * [taylor]: Taking taylor expansion of k in k 2.681 * [taylor]: Taking taylor expansion of PI in k 2.681 * [taylor]: Taking taylor expansion of n in k 2.681 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.681 * [taylor]: Taking taylor expansion of 2 in k 2.682 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (sqrt 2)) in n 2.682 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.682 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.682 * [taylor]: Taking taylor expansion of (* k PI) in n 2.682 * [taylor]: Taking taylor expansion of k in n 2.682 * [taylor]: Taking taylor expansion of PI in n 2.682 * [taylor]: Taking taylor expansion of n in n 2.682 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.682 * [taylor]: Taking taylor expansion of 2 in n 2.682 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (sqrt 2)) in n 2.682 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.682 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.682 * [taylor]: Taking taylor expansion of (* k PI) in n 2.682 * [taylor]: Taking taylor expansion of k in n 2.682 * [taylor]: Taking taylor expansion of PI in n 2.682 * [taylor]: Taking taylor expansion of n in n 2.683 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.683 * [taylor]: Taking taylor expansion of 2 in n 2.683 * [taylor]: Taking taylor expansion of 0 in k 2.684 * [taylor]: Taking taylor expansion of (* k (* NAN (* PI (sqrt 2)))) in k 2.684 * [taylor]: Taking taylor expansion of k in k 2.684 * [taylor]: Taking taylor expansion of (* NAN (* PI (sqrt 2))) in k 2.684 * [taylor]: Taking taylor expansion of NAN in k 2.684 * [taylor]: Taking taylor expansion of (* PI (sqrt 2)) in k 2.684 * [taylor]: Taking taylor expansion of PI in k 2.684 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.684 * [taylor]: Taking taylor expansion of 2 in k 2.687 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 2.687 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.687 * [taylor]: Taking taylor expansion of k in k 2.687 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 2.687 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.687 * [taylor]: Taking taylor expansion of 2 in k 2.687 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.687 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.687 * [taylor]: Taking taylor expansion of NAN in k 2.687 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.687 * [taylor]: Taking taylor expansion of PI in k 2.692 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (pow NAN 5) (* (pow PI 3) (sqrt 2)))) in k 2.692 * [taylor]: Taking taylor expansion of (pow k 3) in k 2.692 * [taylor]: Taking taylor expansion of k in k 2.692 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (* (pow PI 3) (sqrt 2))) in k 2.692 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 2.692 * [taylor]: Taking taylor expansion of NAN in k 2.692 * [taylor]: Taking taylor expansion of (* (pow PI 3) (sqrt 2)) in k 2.692 * [taylor]: Taking taylor expansion of (pow PI 3) in k 2.692 * [taylor]: Taking taylor expansion of PI in k 2.692 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.692 * [taylor]: Taking taylor expansion of 2 in k 2.698 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 2.699 * [taylor]: Taking taylor expansion of (pow k 4) in k 2.699 * [taylor]: Taking taylor expansion of k in k 2.699 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 2.699 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.699 * [taylor]: Taking taylor expansion of 2 in k 2.699 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 2.699 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 2.699 * [taylor]: Taking taylor expansion of NAN in k 2.699 * [taylor]: Taking taylor expansion of (pow PI 4) in k 2.699 * [taylor]: Taking taylor expansion of PI in k 2.709 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (pow NAN 9) (* (pow PI 5) (sqrt 2)))) in k 2.709 * [taylor]: Taking taylor expansion of (pow k 5) in k 2.709 * [taylor]: Taking taylor expansion of k in k 2.709 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (* (pow PI 5) (sqrt 2))) in k 2.709 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 2.709 * [taylor]: Taking taylor expansion of NAN in k 2.709 * [taylor]: Taking taylor expansion of (* (pow PI 5) (sqrt 2)) in k 2.709 * [taylor]: Taking taylor expansion of (pow PI 5) in k 2.709 * [taylor]: Taking taylor expansion of PI in k 2.709 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.709 * [taylor]: Taking taylor expansion of 2 in k 2.722 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 2.722 * [taylor]: Taking taylor expansion of (pow k 6) in k 2.722 * [taylor]: Taking taylor expansion of k in k 2.722 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 2.722 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.722 * [taylor]: Taking taylor expansion of 2 in k 2.722 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 2.722 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 2.722 * [taylor]: Taking taylor expansion of NAN in k 2.722 * [taylor]: Taking taylor expansion of (pow PI 6) in k 2.722 * [taylor]: Taking taylor expansion of PI in k 2.727 * [approximate]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in (n k) around 0 2.727 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in k 2.727 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 2.727 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.728 * [taylor]: Taking taylor expansion of -2 in k 2.728 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.728 * [taylor]: Taking taylor expansion of PI in k 2.728 * [taylor]: Taking taylor expansion of n in k 2.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.729 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.729 * [taylor]: Taking taylor expansion of -1 in k 2.729 * [taylor]: Taking taylor expansion of k in k 2.729 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n 2.729 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.729 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.729 * [taylor]: Taking taylor expansion of -2 in n 2.729 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.729 * [taylor]: Taking taylor expansion of PI in n 2.729 * [taylor]: Taking taylor expansion of n in n 2.730 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.730 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.730 * [taylor]: Taking taylor expansion of -1 in n 2.730 * [taylor]: Taking taylor expansion of k in n 2.731 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n 2.731 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.731 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.731 * [taylor]: Taking taylor expansion of -2 in n 2.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.731 * [taylor]: Taking taylor expansion of PI in n 2.731 * [taylor]: Taking taylor expansion of n in n 2.731 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.731 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.731 * [taylor]: Taking taylor expansion of -1 in n 2.731 * [taylor]: Taking taylor expansion of k in n 2.732 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (sqrt (/ -1 k))) in k 2.732 * [taylor]: Taking taylor expansion of (* NAN PI) in k 2.732 * [taylor]: Taking taylor expansion of NAN in k 2.732 * [taylor]: Taking taylor expansion of PI in k 2.732 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.732 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.732 * [taylor]: Taking taylor expansion of -1 in k 2.732 * [taylor]: Taking taylor expansion of k in k 2.734 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (sqrt (/ -1 k))) in k 2.734 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.734 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.734 * [taylor]: Taking taylor expansion of NAN in k 2.734 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.734 * [taylor]: Taking taylor expansion of PI in k 2.734 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.734 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.734 * [taylor]: Taking taylor expansion of -1 in k 2.734 * [taylor]: Taking taylor expansion of k in k 2.739 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.739 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.739 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.739 * [taylor]: Taking taylor expansion of 2 in n 2.739 * [taylor]: Taking taylor expansion of (* n PI) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.739 * [taylor]: Taking taylor expansion of PI in n 2.739 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.739 * [taylor]: Taking taylor expansion of 2 in n 2.739 * [taylor]: Taking taylor expansion of (* n PI) in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.739 * [taylor]: Taking taylor expansion of PI in n 2.745 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.745 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.745 * [taylor]: Taking taylor expansion of 2 in n 2.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.745 * [taylor]: Taking taylor expansion of PI in n 2.745 * [taylor]: Taking taylor expansion of n in n 2.745 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.745 * [taylor]: Taking taylor expansion of 2 in n 2.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.745 * [taylor]: Taking taylor expansion of PI in n 2.745 * [taylor]: Taking taylor expansion of n in n 2.751 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.751 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.751 * [taylor]: Taking taylor expansion of -2 in n 2.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.751 * [taylor]: Taking taylor expansion of PI in n 2.751 * [taylor]: Taking taylor expansion of n in n 2.751 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.751 * [taylor]: Taking taylor expansion of -2 in n 2.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.752 * [taylor]: Taking taylor expansion of PI in n 2.752 * [taylor]: Taking taylor expansion of n in n 2.757 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.757 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.757 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.757 * [taylor]: Taking taylor expansion of 2 in n 2.757 * [taylor]: Taking taylor expansion of (* n PI) in n 2.757 * [taylor]: Taking taylor expansion of n in n 2.757 * [taylor]: Taking taylor expansion of PI in n 2.757 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.757 * [taylor]: Taking taylor expansion of 2 in n 2.758 * [taylor]: Taking taylor expansion of (* n PI) in n 2.758 * [taylor]: Taking taylor expansion of n in n 2.758 * [taylor]: Taking taylor expansion of PI in n 2.764 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.764 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.764 * [taylor]: Taking taylor expansion of 2 in n 2.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.764 * [taylor]: Taking taylor expansion of PI in n 2.764 * [taylor]: Taking taylor expansion of n in n 2.764 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.764 * [taylor]: Taking taylor expansion of 2 in n 2.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.764 * [taylor]: Taking taylor expansion of PI in n 2.764 * [taylor]: Taking taylor expansion of n in n 2.772 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.772 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.772 * [taylor]: Taking taylor expansion of -2 in n 2.772 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.772 * [taylor]: Taking taylor expansion of PI in n 2.772 * [taylor]: Taking taylor expansion of n in n 2.772 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.772 * [taylor]: Taking taylor expansion of -2 in n 2.772 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.772 * [taylor]: Taking taylor expansion of PI in n 2.772 * [taylor]: Taking taylor expansion of n in n 2.779 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.779 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 2.779 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 2.779 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.779 * [taylor]: Taking taylor expansion of 2 in n 2.779 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 2.780 * [taylor]: Taking taylor expansion of (* n PI) in n 2.780 * [taylor]: Taking taylor expansion of n in n 2.780 * [taylor]: Taking taylor expansion of PI in n 2.780 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 2.780 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.780 * [taylor]: Taking taylor expansion of 2 in n 2.780 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 2.780 * [taylor]: Taking taylor expansion of (* n PI) in n 2.780 * [taylor]: Taking taylor expansion of n in n 2.780 * [taylor]: Taking taylor expansion of PI in n 2.790 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 2.790 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 2.790 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.790 * [taylor]: Taking taylor expansion of 2 in n 2.790 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 2.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.790 * [taylor]: Taking taylor expansion of PI in n 2.790 * [taylor]: Taking taylor expansion of n in n 2.791 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 2.791 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.791 * [taylor]: Taking taylor expansion of 2 in n 2.791 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 2.791 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.791 * [taylor]: Taking taylor expansion of PI in n 2.791 * [taylor]: Taking taylor expansion of n in n 2.800 * [approximate]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 2.800 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.800 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.800 * [taylor]: Taking taylor expansion of -2 in n 2.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.800 * [taylor]: Taking taylor expansion of PI in n 2.800 * [taylor]: Taking taylor expansion of n in n 2.801 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.801 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.801 * [taylor]: Taking taylor expansion of -2 in n 2.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.801 * [taylor]: Taking taylor expansion of PI in n 2.801 * [taylor]: Taking taylor expansion of n in n 2.806 * * * [progress]: simplifying candidates 2.808 * [simplify]: Simplifying using # : (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 k))) (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 2 PI.f64) n) k) (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (neg.f64 (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 1)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 1)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 n) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 n) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 n) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 n) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 1)) (/.f64 (sqrt.f64 n) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) 1) (/.f64 (sqrt.f64 n) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 1)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) (/.f64 1 1) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (sqrt.f64 k) (sqrt.f64 n)) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 1)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) 1) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 1 2) (/.f64 1 2) (/.f64 1 2) (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n) (/.f64 (*.f64 PI.f64 (*.f64 NAN.f64 (*.f64 n (sqrt.f64 2)))) k) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (sqrt.f64 2) (pow.f64 PI.f64 2))) (*.f64 (pow.f64 k 2) n)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 5) (pow.f64 PI.f64 3))) (*.f64 (pow.f64 k 3) (pow.f64 n 2))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 NAN.f64 PI.f64)) k))) (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 2) PI.f64) k) PI.f64) (/.f64 (*.f64 (pow.f64 NAN.f64 2) (pow.f64 PI.f64 2)) n)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 n 3) (pow.f64 PI.f64 3)))) (+.f64 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 n PI.f64))) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 n 2) (pow.f64 PI.f64 2)))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (*.f64 (sqrt.f64 2) (pow.f64 PI.f64 3))) (pow.f64 n 2)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 NAN.f64 PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 3) (pow.f64 PI.f64 2))) n))) (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 PI.f64 3)) (pow.f64 n 2)) (*.f64 NAN.f64 PI.f64)) (/.f64 (*.f64 (pow.f64 NAN.f64 3) (pow.f64 PI.f64 2)) n)) 2.868 * * [simplify]: iteration 0 : 5077 enodes (cost 1956 ) 2.877 * [simplify]: Simplified to: (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) 3) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) 3) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 2 PI.f64) n) k) (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (neg.f64 (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 n) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 n) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 n) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 n) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (*.f64 2 PI.f64)) (/.f64 (sqrt.f64 n) (sqrt.f64 k)) (sqrt.f64 (*.f64 2 PI.f64)) (/.f64 (sqrt.f64 n) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) 1 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (sqrt.f64 k) (sqrt.f64 n)) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) 3) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1/2 1/2 1/2 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n) (/.f64 (*.f64 PI.f64 (*.f64 NAN.f64 (*.f64 n (sqrt.f64 2)))) k) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (pow.f64 PI.f64 2) (sqrt.f64 2))) (*.f64 n (*.f64 k k))) (+.f64 (*.f64 (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5)) (/.f64 (sqrt.f64 2) (*.f64 (*.f64 n n) (pow.f64 k 3)))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 NAN.f64)) k))) (-.f64 (*.f64 PI.f64 (+.f64 (/.f64 (pow.f64 NAN.f64 2) k) 1)) (/.f64 (*.f64 (pow.f64 PI.f64 2) (pow.f64 NAN.f64 2)) n)) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 NAN.f64 5) (pow.f64 (*.f64 PI.f64 n) 3))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 PI.f64 (*.f64 n NAN.f64)) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (*.f64 n n) (pow.f64 PI.f64 2)))))) (+.f64 (*.f64 (*.f64 (pow.f64 PI.f64 3) (sqrt.f64 2)) (/.f64 (pow.f64 NAN.f64 5) (*.f64 n n))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 NAN.f64)) (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (pow.f64 PI.f64 2) (sqrt.f64 2))) n))) (+.f64 (*.f64 (pow.f64 PI.f64 3) (/.f64 (pow.f64 NAN.f64 5) (*.f64 n n))) (-.f64 (*.f64 PI.f64 NAN.f64) (/.f64 (*.f64 (pow.f64 PI.f64 2) (pow.f64 NAN.f64 3)) n))) 2.878 * * * [progress]: adding candidates to table 2.965 * [progress]: [Phase 3 of 3] Extracting. 2.966 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.969 * * * [regime-changes]: Trying 3 branch expressions: ((*.f64 (*.f64 2 PI.f64) n) n k) 2.969 * * * * [regimes]: Trying to branch on (*.f64 (*.f64 2 PI.f64) n) from (# # # # # # # #) 2.989 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 3.007 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 3.025 * * * [regime]: Found split indices: #