23.377 * [progress]: [Phase 1 of 3] Setting up. 0.000 * * * [progress]: [1/2] Preparing points 0.696 * * * [progress]: [2/2] Setting up program. 0.697 * [progress]: [Phase 2 of 3] Improving. 0.697 * [simplify]: Simplifying using # : (*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 0.760 * * [simplify]: iteration 0 : 4934 enodes (cost 22 ) 0.761 * * [simplify]: iteration 1 : 4934 enodes (cost 22 ) 0.761 * [simplify]: Simplified to: (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 0.764 * * [progress]: iteration 1 / 4 0.764 * * * [progress]: picking best candidate 0.766 * * * * [pick]: Picked # 0.766 * * * [progress]: localizing error 0.782 * * * [progress]: generating rewritten candidates 0.782 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.792 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.797 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.808 * * * [progress]: generating series expansions 0.808 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.809 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.809 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.809 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.809 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.809 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.809 * [taylor]: Taking taylor expansion of 1/2 in k 0.809 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.809 * [taylor]: Taking taylor expansion of 1 in k 0.809 * [taylor]: Taking taylor expansion of k in k 0.809 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.809 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.809 * [taylor]: Taking taylor expansion of 2 in k 0.810 * [taylor]: Taking taylor expansion of (* n PI) in k 0.810 * [taylor]: Taking taylor expansion of n in k 0.810 * [taylor]: Taking taylor expansion of PI in k 0.811 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.811 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.811 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.811 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.811 * [taylor]: Taking taylor expansion of 1/2 in n 0.811 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.811 * [taylor]: Taking taylor expansion of 1 in n 0.811 * [taylor]: Taking taylor expansion of k in n 0.811 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.811 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.811 * [taylor]: Taking taylor expansion of 2 in n 0.811 * [taylor]: Taking taylor expansion of (* n PI) in n 0.811 * [taylor]: Taking taylor expansion of n in n 0.811 * [taylor]: Taking taylor expansion of PI in n 0.813 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.813 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.813 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.813 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.813 * [taylor]: Taking taylor expansion of 1/2 in n 0.813 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.813 * [taylor]: Taking taylor expansion of 1 in n 0.813 * [taylor]: Taking taylor expansion of k in n 0.813 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.813 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.813 * [taylor]: Taking taylor expansion of 2 in n 0.813 * [taylor]: Taking taylor expansion of (* n PI) in n 0.814 * [taylor]: Taking taylor expansion of n in n 0.814 * [taylor]: Taking taylor expansion of PI in n 0.816 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.816 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.816 * [taylor]: Taking taylor expansion of 1/2 in k 0.816 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.816 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.816 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.816 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.816 * [taylor]: Taking taylor expansion of 2 in k 0.816 * [taylor]: Taking taylor expansion of PI in k 0.816 * [taylor]: Taking taylor expansion of (log n) in k 0.816 * [taylor]: Taking taylor expansion of n in k 0.816 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.816 * [taylor]: Taking taylor expansion of 1 in k 0.816 * [taylor]: Taking taylor expansion of k in k 0.821 * [taylor]: Taking taylor expansion of 0 in k 0.829 * [taylor]: Taking taylor expansion of 0 in k 0.846 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.846 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.846 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.846 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.846 * [taylor]: Taking taylor expansion of 1/2 in k 0.846 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.846 * [taylor]: Taking taylor expansion of 1 in k 0.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.846 * [taylor]: Taking taylor expansion of k in k 0.846 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.846 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.846 * [taylor]: Taking taylor expansion of 2 in k 0.846 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.846 * [taylor]: Taking taylor expansion of PI in k 0.846 * [taylor]: Taking taylor expansion of n in k 0.848 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.848 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.848 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.848 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.848 * [taylor]: Taking taylor expansion of 1/2 in n 0.848 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.848 * [taylor]: Taking taylor expansion of 1 in n 0.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.848 * [taylor]: Taking taylor expansion of k in n 0.848 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.848 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.848 * [taylor]: Taking taylor expansion of 2 in n 0.848 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.848 * [taylor]: Taking taylor expansion of PI in n 0.848 * [taylor]: Taking taylor expansion of n in n 0.850 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.851 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.851 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.851 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.851 * [taylor]: Taking taylor expansion of 1/2 in n 0.851 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.851 * [taylor]: Taking taylor expansion of 1 in n 0.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.851 * [taylor]: Taking taylor expansion of k in n 0.851 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.851 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.851 * [taylor]: Taking taylor expansion of 2 in n 0.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.851 * [taylor]: Taking taylor expansion of PI in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.853 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.853 * [taylor]: Taking taylor expansion of 1/2 in k 0.853 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.853 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.854 * [taylor]: Taking taylor expansion of 1 in k 0.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.854 * [taylor]: Taking taylor expansion of k in k 0.854 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.854 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.854 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.854 * [taylor]: Taking taylor expansion of 2 in k 0.854 * [taylor]: Taking taylor expansion of PI in k 0.854 * [taylor]: Taking taylor expansion of (log n) in k 0.854 * [taylor]: Taking taylor expansion of n in k 0.860 * [taylor]: Taking taylor expansion of 0 in k 0.864 * [taylor]: Taking taylor expansion of 0 in k 0.870 * [taylor]: Taking taylor expansion of 0 in k 0.871 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.871 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.871 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.871 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.871 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.871 * [taylor]: Taking taylor expansion of 1/2 in k 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.871 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.871 * [taylor]: Taking taylor expansion of k in k 0.871 * [taylor]: Taking taylor expansion of 1 in k 0.871 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.871 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.872 * [taylor]: Taking taylor expansion of -2 in k 0.872 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.872 * [taylor]: Taking taylor expansion of PI in k 0.872 * [taylor]: Taking taylor expansion of n in k 0.873 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.873 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.873 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.873 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.873 * [taylor]: Taking taylor expansion of 1/2 in n 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.873 * [taylor]: Taking taylor expansion of k in n 0.873 * [taylor]: Taking taylor expansion of 1 in n 0.873 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.873 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.873 * [taylor]: Taking taylor expansion of -2 in n 0.873 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.873 * [taylor]: Taking taylor expansion of PI in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.874 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.874 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.874 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.875 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.875 * [taylor]: Taking taylor expansion of 1/2 in n 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.875 * [taylor]: Taking taylor expansion of k in n 0.875 * [taylor]: Taking taylor expansion of 1 in n 0.875 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.875 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.875 * [taylor]: Taking taylor expansion of -2 in n 0.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.875 * [taylor]: Taking taylor expansion of PI in n 0.875 * [taylor]: Taking taylor expansion of n in n 0.876 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.876 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.876 * [taylor]: Taking taylor expansion of 1/2 in k 0.876 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.876 * [taylor]: Taking taylor expansion of k in k 0.877 * [taylor]: Taking taylor expansion of 1 in k 0.877 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.877 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.877 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.877 * [taylor]: Taking taylor expansion of -2 in k 0.877 * [taylor]: Taking taylor expansion of PI in k 0.877 * [taylor]: Taking taylor expansion of (log n) in k 0.877 * [taylor]: Taking taylor expansion of n in k 0.882 * [taylor]: Taking taylor expansion of 0 in k 0.886 * [taylor]: Taking taylor expansion of 0 in k 0.891 * [taylor]: Taking taylor expansion of 0 in k 0.892 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.892 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.892 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.893 * [taylor]: Taking taylor expansion of 2 in n 0.893 * [taylor]: Taking taylor expansion of (* n PI) in n 0.893 * [taylor]: Taking taylor expansion of n in n 0.893 * [taylor]: Taking taylor expansion of PI in n 0.893 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.893 * [taylor]: Taking taylor expansion of 2 in n 0.893 * [taylor]: Taking taylor expansion of (* n PI) in n 0.893 * [taylor]: Taking taylor expansion of n in n 0.893 * [taylor]: Taking taylor expansion of PI in n 0.899 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.899 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.899 * [taylor]: Taking taylor expansion of 2 in n 0.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.899 * [taylor]: Taking taylor expansion of PI in n 0.899 * [taylor]: Taking taylor expansion of n in n 0.899 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.899 * [taylor]: Taking taylor expansion of 2 in n 0.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.899 * [taylor]: Taking taylor expansion of PI in n 0.899 * [taylor]: Taking taylor expansion of n in n 0.905 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.905 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.905 * [taylor]: Taking taylor expansion of -2 in n 0.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.905 * [taylor]: Taking taylor expansion of PI in n 0.905 * [taylor]: Taking taylor expansion of n in n 0.905 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.905 * [taylor]: Taking taylor expansion of -2 in n 0.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.906 * [taylor]: Taking taylor expansion of PI in n 0.906 * [taylor]: Taking taylor expansion of n in n 0.913 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.913 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in (n k) around 0 0.913 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 0.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.914 * [taylor]: Taking taylor expansion of k in k 0.914 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.914 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.914 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.914 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.914 * [taylor]: Taking taylor expansion of 1/2 in k 0.914 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.914 * [taylor]: Taking taylor expansion of 1 in k 0.914 * [taylor]: Taking taylor expansion of k in k 0.914 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.914 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.914 * [taylor]: Taking taylor expansion of 2 in k 0.914 * [taylor]: Taking taylor expansion of (* n PI) in k 0.914 * [taylor]: Taking taylor expansion of n in k 0.914 * [taylor]: Taking taylor expansion of PI in k 0.915 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.915 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.915 * [taylor]: Taking taylor expansion of k in n 0.916 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.916 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.916 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.916 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.916 * [taylor]: Taking taylor expansion of 1/2 in n 0.916 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.916 * [taylor]: Taking taylor expansion of 1 in n 0.916 * [taylor]: Taking taylor expansion of k in n 0.916 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.916 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.916 * [taylor]: Taking taylor expansion of 2 in n 0.916 * [taylor]: Taking taylor expansion of (* n PI) in n 0.916 * [taylor]: Taking taylor expansion of n in n 0.916 * [taylor]: Taking taylor expansion of PI in n 0.918 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.918 * [taylor]: Taking taylor expansion of k in n 0.919 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.919 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.919 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.919 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.919 * [taylor]: Taking taylor expansion of 1/2 in n 0.919 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.919 * [taylor]: Taking taylor expansion of 1 in n 0.919 * [taylor]: Taking taylor expansion of k in n 0.919 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.919 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.919 * [taylor]: Taking taylor expansion of 2 in n 0.919 * [taylor]: Taking taylor expansion of (* n PI) in n 0.919 * [taylor]: Taking taylor expansion of n in n 0.919 * [taylor]: Taking taylor expansion of PI in n 0.921 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))))) in k 0.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.921 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.921 * [taylor]: Taking taylor expansion of k in k 0.922 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.922 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.922 * [taylor]: Taking taylor expansion of 1/2 in k 0.922 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.922 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.922 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.922 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.922 * [taylor]: Taking taylor expansion of 2 in k 0.922 * [taylor]: Taking taylor expansion of PI in k 0.922 * [taylor]: Taking taylor expansion of (log n) in k 0.922 * [taylor]: Taking taylor expansion of n in k 0.922 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.922 * [taylor]: Taking taylor expansion of 1 in k 0.922 * [taylor]: Taking taylor expansion of k in k 0.927 * [taylor]: Taking taylor expansion of 0 in k 0.937 * [taylor]: Taking taylor expansion of 0 in k 0.964 * [taylor]: Taking taylor expansion of 0 in k 1.027 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in (n k) around 0 1.028 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 1.028 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.028 * [taylor]: Taking taylor expansion of k in k 1.028 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.028 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.028 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.028 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.028 * [taylor]: Taking taylor expansion of 1/2 in k 1.028 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.028 * [taylor]: Taking taylor expansion of 1 in k 1.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.029 * [taylor]: Taking taylor expansion of k in k 1.029 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.029 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.029 * [taylor]: Taking taylor expansion of 2 in k 1.029 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.029 * [taylor]: Taking taylor expansion of PI in k 1.029 * [taylor]: Taking taylor expansion of n in k 1.030 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 1.030 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.030 * [taylor]: Taking taylor expansion of k in n 1.030 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.030 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.030 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.030 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.030 * [taylor]: Taking taylor expansion of 1/2 in n 1.030 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.030 * [taylor]: Taking taylor expansion of 1 in n 1.030 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.030 * [taylor]: Taking taylor expansion of k in n 1.031 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.031 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.031 * [taylor]: Taking taylor expansion of 2 in n 1.031 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.031 * [taylor]: Taking taylor expansion of PI in n 1.031 * [taylor]: Taking taylor expansion of n in n 1.034 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 1.034 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.034 * [taylor]: Taking taylor expansion of k in n 1.034 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.034 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.034 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.034 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.034 * [taylor]: Taking taylor expansion of 1/2 in n 1.034 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.034 * [taylor]: Taking taylor expansion of 1 in n 1.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.034 * [taylor]: Taking taylor expansion of k in n 1.035 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.035 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.035 * [taylor]: Taking taylor expansion of 2 in n 1.035 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.035 * [taylor]: Taking taylor expansion of PI in n 1.035 * [taylor]: Taking taylor expansion of n in n 1.039 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) in k 1.039 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.039 * [taylor]: Taking taylor expansion of k in k 1.039 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.040 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.040 * [taylor]: Taking taylor expansion of 1/2 in k 1.040 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.040 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.040 * [taylor]: Taking taylor expansion of 1 in k 1.040 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.040 * [taylor]: Taking taylor expansion of k in k 1.040 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.040 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.040 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.040 * [taylor]: Taking taylor expansion of 2 in k 1.040 * [taylor]: Taking taylor expansion of PI in k 1.040 * [taylor]: Taking taylor expansion of (log n) in k 1.040 * [taylor]: Taking taylor expansion of n in k 1.050 * [taylor]: Taking taylor expansion of 0 in k 1.061 * [taylor]: Taking taylor expansion of 0 in k 1.075 * [taylor]: Taking taylor expansion of 0 in k 1.082 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.082 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.082 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.082 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.082 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.082 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.082 * [taylor]: Taking taylor expansion of 1/2 in k 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.082 * [taylor]: Taking taylor expansion of k in k 1.082 * [taylor]: Taking taylor expansion of 1 in k 1.082 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.082 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.082 * [taylor]: Taking taylor expansion of -2 in k 1.082 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.082 * [taylor]: Taking taylor expansion of PI in k 1.082 * [taylor]: Taking taylor expansion of n in k 1.083 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.083 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.083 * [taylor]: Taking taylor expansion of -1 in k 1.083 * [taylor]: Taking taylor expansion of k in k 1.084 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.084 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.084 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.084 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.084 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.084 * [taylor]: Taking taylor expansion of 1/2 in n 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.084 * [taylor]: Taking taylor expansion of k in n 1.084 * [taylor]: Taking taylor expansion of 1 in n 1.084 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.084 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.084 * [taylor]: Taking taylor expansion of -2 in n 1.084 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.084 * [taylor]: Taking taylor expansion of PI in n 1.084 * [taylor]: Taking taylor expansion of n in n 1.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.086 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.086 * [taylor]: Taking taylor expansion of -1 in n 1.086 * [taylor]: Taking taylor expansion of k in n 1.087 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.087 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.087 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.087 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.087 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.087 * [taylor]: Taking taylor expansion of 1/2 in n 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.087 * [taylor]: Taking taylor expansion of k in n 1.087 * [taylor]: Taking taylor expansion of 1 in n 1.087 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.087 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.088 * [taylor]: Taking taylor expansion of -2 in n 1.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.088 * [taylor]: Taking taylor expansion of PI in n 1.088 * [taylor]: Taking taylor expansion of n in n 1.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.089 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.089 * [taylor]: Taking taylor expansion of -1 in n 1.089 * [taylor]: Taking taylor expansion of k in n 1.090 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.090 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.090 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.090 * [taylor]: Taking taylor expansion of 1/2 in k 1.090 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.091 * [taylor]: Taking taylor expansion of k in k 1.091 * [taylor]: Taking taylor expansion of 1 in k 1.091 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.091 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.091 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.091 * [taylor]: Taking taylor expansion of -2 in k 1.091 * [taylor]: Taking taylor expansion of PI in k 1.091 * [taylor]: Taking taylor expansion of (log n) in k 1.091 * [taylor]: Taking taylor expansion of n in k 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.092 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.092 * [taylor]: Taking taylor expansion of -1 in k 1.092 * [taylor]: Taking taylor expansion of k in k 1.097 * [taylor]: Taking taylor expansion of 0 in k 1.107 * [taylor]: Taking taylor expansion of 0 in k 1.126 * [taylor]: Taking taylor expansion of 0 in k 1.131 * * * [progress]: simplifying candidates 1.134 * [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)) 1.211 * * [simplify]: iteration 0 : 5612 enodes (cost 3511 ) 1.239 * [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)) 1.240 * * * [progress]: adding candidates to table 1.374 * * [progress]: iteration 2 / 4 1.374 * * * [progress]: picking best candidate 1.384 * * * * [pick]: Picked # 1.384 * * * [progress]: localizing error 1.395 * * * [progress]: generating rewritten candidates 1.395 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.401 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.406 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.421 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.437 * * * [progress]: generating series expansions 1.437 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.437 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.437 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.437 * [taylor]: Taking taylor expansion of 2 in n 1.437 * [taylor]: Taking taylor expansion of (* n PI) in n 1.437 * [taylor]: Taking taylor expansion of n in n 1.437 * [taylor]: Taking taylor expansion of PI in n 1.437 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.437 * [taylor]: Taking taylor expansion of 2 in n 1.437 * [taylor]: Taking taylor expansion of (* n PI) in n 1.437 * [taylor]: Taking taylor expansion of n in n 1.437 * [taylor]: Taking taylor expansion of PI in n 1.447 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.447 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.447 * [taylor]: Taking taylor expansion of 2 in n 1.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.447 * [taylor]: Taking taylor expansion of PI in n 1.447 * [taylor]: Taking taylor expansion of n in n 1.447 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.447 * [taylor]: Taking taylor expansion of 2 in n 1.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.447 * [taylor]: Taking taylor expansion of PI in n 1.447 * [taylor]: Taking taylor expansion of n in n 1.453 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.453 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.453 * [taylor]: Taking taylor expansion of -2 in n 1.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.453 * [taylor]: Taking taylor expansion of PI in n 1.453 * [taylor]: Taking taylor expansion of n in n 1.453 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.453 * [taylor]: Taking taylor expansion of -2 in n 1.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.453 * [taylor]: Taking taylor expansion of PI in n 1.453 * [taylor]: Taking taylor expansion of n in n 1.458 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.459 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.459 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.459 * [taylor]: Taking taylor expansion of 2 in n 1.459 * [taylor]: Taking taylor expansion of (* n PI) in n 1.459 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of PI in n 1.459 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.459 * [taylor]: Taking taylor expansion of 2 in n 1.459 * [taylor]: Taking taylor expansion of (* n PI) in n 1.459 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of PI in n 1.465 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.465 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.465 * [taylor]: Taking taylor expansion of 2 in n 1.465 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.465 * [taylor]: Taking taylor expansion of PI in n 1.465 * [taylor]: Taking taylor expansion of n in n 1.465 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.465 * [taylor]: Taking taylor expansion of 2 in n 1.465 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.465 * [taylor]: Taking taylor expansion of PI in n 1.465 * [taylor]: Taking taylor expansion of n in n 1.471 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.471 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.471 * [taylor]: Taking taylor expansion of -2 in n 1.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.471 * [taylor]: Taking taylor expansion of PI in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.471 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.471 * [taylor]: Taking taylor expansion of -2 in n 1.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.471 * [taylor]: Taking taylor expansion of PI in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.477 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.477 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 1.478 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 1.478 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1.478 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.478 * [taylor]: Taking taylor expansion of 2 in k 1.478 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.478 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.478 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.478 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.478 * [taylor]: Taking taylor expansion of 1/2 in k 1.478 * [taylor]: Taking taylor expansion of k in k 1.478 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.478 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.478 * [taylor]: Taking taylor expansion of 2 in k 1.478 * [taylor]: Taking taylor expansion of (* n PI) in k 1.478 * [taylor]: Taking taylor expansion of n in k 1.478 * [taylor]: Taking taylor expansion of PI in k 1.480 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1.480 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 1.480 * [taylor]: Taking taylor expansion of (* n PI) in k 1.480 * [taylor]: Taking taylor expansion of n in k 1.480 * [taylor]: Taking taylor expansion of PI in k 1.480 * [taylor]: Taking taylor expansion of k in k 1.480 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1.480 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.480 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.480 * [taylor]: Taking taylor expansion of 2 in n 1.481 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.481 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.481 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.481 * [taylor]: Taking taylor expansion of 1/2 in n 1.481 * [taylor]: Taking taylor expansion of k in n 1.481 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.481 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.481 * [taylor]: Taking taylor expansion of 2 in n 1.481 * [taylor]: Taking taylor expansion of (* n PI) in n 1.481 * [taylor]: Taking taylor expansion of n in n 1.481 * [taylor]: Taking taylor expansion of PI in n 1.483 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1.483 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 1.483 * [taylor]: Taking taylor expansion of (* n PI) in n 1.483 * [taylor]: Taking taylor expansion of n in n 1.483 * [taylor]: Taking taylor expansion of PI in n 1.483 * [taylor]: Taking taylor expansion of k in n 1.483 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1.483 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.483 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.483 * [taylor]: Taking taylor expansion of 2 in n 1.483 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.483 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.483 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.483 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.484 * [taylor]: Taking taylor expansion of 1/2 in n 1.484 * [taylor]: Taking taylor expansion of k in n 1.484 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.484 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.484 * [taylor]: Taking taylor expansion of 2 in n 1.484 * [taylor]: Taking taylor expansion of (* n PI) in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.485 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1.485 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 1.485 * [taylor]: Taking taylor expansion of (* n PI) in n 1.485 * [taylor]: Taking taylor expansion of n in n 1.485 * [taylor]: Taking taylor expansion of PI in n 1.485 * [taylor]: Taking taylor expansion of k in n 1.486 * [taylor]: Taking taylor expansion of 0 in k 1.491 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* NAN PI)) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 1.491 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 1.491 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.491 * [taylor]: Taking taylor expansion of 2 in k 1.491 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.491 * [taylor]: Taking taylor expansion of NAN in k 1.491 * [taylor]: Taking taylor expansion of PI in k 1.491 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.491 * [taylor]: Taking taylor expansion of k in k 1.491 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.491 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.491 * [taylor]: Taking taylor expansion of 1/2 in k 1.491 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.491 * [taylor]: Taking taylor expansion of 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 1.492 * [taylor]: Taking taylor expansion of (log n) in k 1.492 * [taylor]: Taking taylor expansion of n in k 1.503 * [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 1.503 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 1.503 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.503 * [taylor]: Taking taylor expansion of 2 in k 1.503 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.503 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.503 * [taylor]: Taking taylor expansion of NAN in k 1.503 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.503 * [taylor]: Taking taylor expansion of PI in k 1.503 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.503 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.503 * [taylor]: Taking taylor expansion of k in k 1.503 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.503 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.503 * [taylor]: Taking taylor expansion of 1/2 in k 1.503 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.503 * [taylor]: Taking taylor expansion of k in k 1.503 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.503 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.503 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.503 * [taylor]: Taking taylor expansion of 2 in k 1.503 * [taylor]: Taking taylor expansion of PI in k 1.504 * [taylor]: Taking taylor expansion of (log n) in k 1.504 * [taylor]: Taking taylor expansion of n in k 1.527 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 1.527 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 1.527 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1.527 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in k 1.527 * [taylor]: Taking taylor expansion of (* PI k) in k 1.527 * [taylor]: Taking taylor expansion of PI in k 1.527 * [taylor]: Taking taylor expansion of k in k 1.527 * [taylor]: Taking taylor expansion of n in k 1.528 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1.528 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.528 * [taylor]: Taking taylor expansion of 2 in k 1.528 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.528 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.528 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.528 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.528 * [taylor]: Taking taylor expansion of 1/2 in k 1.528 * [taylor]: Taking taylor expansion of k in k 1.528 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.528 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.528 * [taylor]: Taking taylor expansion of 2 in k 1.528 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.528 * [taylor]: Taking taylor expansion of PI in k 1.528 * [taylor]: Taking taylor expansion of n in k 1.529 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.529 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1.529 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in n 1.529 * [taylor]: Taking taylor expansion of (* PI k) in n 1.529 * [taylor]: Taking taylor expansion of PI in n 1.529 * [taylor]: Taking taylor expansion of k in n 1.530 * [taylor]: Taking taylor expansion of n in n 1.530 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.530 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.530 * [taylor]: Taking taylor expansion of 2 in n 1.530 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.530 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.530 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.530 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.530 * [taylor]: Taking taylor expansion of 1/2 in n 1.530 * [taylor]: Taking taylor expansion of k in n 1.530 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.530 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.530 * [taylor]: Taking taylor expansion of 2 in n 1.531 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.531 * [taylor]: Taking taylor expansion of PI in n 1.531 * [taylor]: Taking taylor expansion of n in n 1.533 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.533 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1.533 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in n 1.533 * [taylor]: Taking taylor expansion of (* PI k) in n 1.533 * [taylor]: Taking taylor expansion of PI in n 1.533 * [taylor]: Taking taylor expansion of k in n 1.533 * [taylor]: Taking taylor expansion of n in n 1.533 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.533 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.533 * [taylor]: Taking taylor expansion of 2 in n 1.533 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.533 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.533 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.533 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.533 * [taylor]: Taking taylor expansion of 1/2 in n 1.533 * [taylor]: Taking taylor expansion of k in n 1.534 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.534 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.534 * [taylor]: Taking taylor expansion of 2 in n 1.534 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.534 * [taylor]: Taking taylor expansion of PI in n 1.534 * [taylor]: Taking taylor expansion of n in n 1.536 * [taylor]: Taking taylor expansion of 0 in k 1.541 * [taylor]: Taking taylor expansion of (/ (* k (* (sqrt 2) (* NAN PI))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.541 * [taylor]: Taking taylor expansion of (* k (* (sqrt 2) (* NAN PI))) in k 1.541 * [taylor]: Taking taylor expansion of k in k 1.541 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 1.541 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.542 * [taylor]: Taking taylor expansion of 2 in k 1.542 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.542 * [taylor]: Taking taylor expansion of NAN in k 1.542 * [taylor]: Taking taylor expansion of PI in k 1.542 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.542 * [taylor]: Taking taylor expansion of 1/2 in k 1.542 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.542 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.542 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.542 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.542 * [taylor]: Taking taylor expansion of 2 in k 1.542 * [taylor]: Taking taylor expansion of PI in k 1.542 * [taylor]: Taking taylor expansion of (log n) in k 1.542 * [taylor]: Taking taylor expansion of n in k 1.542 * [taylor]: Taking taylor expansion of k in k 1.554 * [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 1.554 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 1.554 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.554 * [taylor]: Taking taylor expansion of k in k 1.555 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) 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 3) (pow PI 2)) in k 1.555 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.555 * [taylor]: Taking taylor expansion of NAN in k 1.555 * [taylor]: Taking taylor expansion of (pow PI 2) 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 1.555 * [taylor]: Taking taylor expansion of (log n) in k 1.555 * [taylor]: Taking taylor expansion of n in k 1.555 * [taylor]: Taking taylor expansion of k in k 1.571 * [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 1.571 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) in k 1.571 * [taylor]: Taking taylor expansion of (pow k 3) in k 1.571 * [taylor]: Taking taylor expansion of k in k 1.571 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 1.571 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.571 * [taylor]: Taking taylor expansion of 2 in k 1.572 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 1.572 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 1.572 * [taylor]: Taking taylor expansion of NAN in k 1.572 * [taylor]: Taking taylor expansion of (pow PI 3) in k 1.572 * [taylor]: Taking taylor expansion of PI in k 1.572 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.572 * [taylor]: Taking taylor expansion of 1/2 in k 1.572 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.572 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.572 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.572 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.572 * [taylor]: Taking taylor expansion of 2 in k 1.572 * [taylor]: Taking taylor expansion of PI in k 1.572 * [taylor]: Taking taylor expansion of (log n) in k 1.572 * [taylor]: Taking taylor expansion of n in k 1.572 * [taylor]: Taking taylor expansion of k in k 1.593 * [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 1.593 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 1.593 * [taylor]: Taking taylor expansion of (pow k 4) in k 1.593 * [taylor]: Taking taylor expansion of k in k 1.593 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 1.593 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.593 * [taylor]: Taking taylor expansion of 2 in k 1.593 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 1.593 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 1.593 * [taylor]: Taking taylor expansion of NAN in k 1.593 * [taylor]: Taking taylor expansion of (pow PI 4) in k 1.593 * [taylor]: Taking taylor expansion of PI in k 1.593 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.593 * [taylor]: Taking taylor expansion of 1/2 in k 1.593 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.593 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.593 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.593 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.593 * [taylor]: Taking taylor expansion of 2 in k 1.593 * [taylor]: Taking taylor expansion of PI in k 1.594 * [taylor]: Taking taylor expansion of (log n) in k 1.594 * [taylor]: Taking taylor expansion of n in k 1.594 * [taylor]: Taking taylor expansion of k in k 1.635 * [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 1.635 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) in k 1.635 * [taylor]: Taking taylor expansion of (pow k 5) in k 1.635 * [taylor]: Taking taylor expansion of k in k 1.635 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 9) (pow PI 5))) in k 1.635 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.635 * [taylor]: Taking taylor expansion of 2 in k 1.635 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 1.635 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 1.635 * [taylor]: Taking taylor expansion of NAN in k 1.635 * [taylor]: Taking taylor expansion of (pow PI 5) in k 1.635 * [taylor]: Taking taylor expansion of PI in k 1.635 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.635 * [taylor]: Taking taylor expansion of 1/2 in k 1.635 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.635 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.635 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.635 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.635 * [taylor]: Taking taylor expansion of 2 in k 1.636 * [taylor]: Taking taylor expansion of PI in k 1.636 * [taylor]: Taking taylor expansion of (log n) in k 1.636 * [taylor]: Taking taylor expansion of n in k 1.636 * [taylor]: Taking taylor expansion of k in k 1.695 * [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 1.695 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 1.695 * [taylor]: Taking taylor expansion of (pow k 6) in k 1.695 * [taylor]: Taking taylor expansion of k in k 1.695 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 1.695 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.695 * [taylor]: Taking taylor expansion of 2 in k 1.696 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 1.696 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 1.696 * [taylor]: Taking taylor expansion of NAN in k 1.696 * [taylor]: Taking taylor expansion of (pow PI 6) in k 1.696 * [taylor]: Taking taylor expansion of PI in k 1.696 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.696 * [taylor]: Taking taylor expansion of 1/2 in k 1.696 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.696 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.696 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.696 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.696 * [taylor]: Taking taylor expansion of 2 in k 1.696 * [taylor]: Taking taylor expansion of PI in k 1.696 * [taylor]: Taking taylor expansion of (log n) in k 1.696 * [taylor]: Taking taylor expansion of n in k 1.697 * [taylor]: Taking taylor expansion of k in k 1.715 * [approximate]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in (n k) around 0 1.715 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 1.715 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1.715 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.715 * [taylor]: Taking taylor expansion of -2 in k 1.715 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.715 * [taylor]: Taking taylor expansion of PI in k 1.715 * [taylor]: Taking taylor expansion of n in k 1.717 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 1.717 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.717 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.717 * [taylor]: Taking taylor expansion of -1 in k 1.717 * [taylor]: Taking taylor expansion of k in k 1.718 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.718 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.718 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.718 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.718 * [taylor]: Taking taylor expansion of -1/2 in k 1.718 * [taylor]: Taking taylor expansion of k in k 1.718 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.718 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.718 * [taylor]: Taking taylor expansion of -2 in k 1.718 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.718 * [taylor]: Taking taylor expansion of PI in k 1.718 * [taylor]: Taking taylor expansion of n in k 1.721 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 1.721 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.721 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.721 * [taylor]: Taking taylor expansion of -2 in n 1.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.722 * [taylor]: Taking taylor expansion of PI in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.722 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 1.722 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.722 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.722 * [taylor]: Taking taylor expansion of -1 in n 1.722 * [taylor]: Taking taylor expansion of k in n 1.723 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.723 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.723 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.723 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.724 * [taylor]: Taking taylor expansion of -1/2 in n 1.724 * [taylor]: Taking taylor expansion of k in n 1.724 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.724 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.724 * [taylor]: Taking taylor expansion of -2 in n 1.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.728 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 1.728 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.728 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.728 * [taylor]: Taking taylor expansion of -2 in n 1.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.728 * [taylor]: Taking taylor expansion of PI in n 1.728 * [taylor]: Taking taylor expansion of n in n 1.728 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 1.728 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.728 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.728 * [taylor]: Taking taylor expansion of -1 in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.730 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.730 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.730 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.730 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.730 * [taylor]: Taking taylor expansion of -1/2 in n 1.730 * [taylor]: Taking taylor expansion of k in n 1.730 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.730 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.730 * [taylor]: Taking taylor expansion of -2 in n 1.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.730 * [taylor]: Taking taylor expansion of PI in n 1.730 * [taylor]: Taking taylor expansion of n in n 1.734 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1.734 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.734 * [taylor]: Taking taylor expansion of NAN in k 1.734 * [taylor]: Taking taylor expansion of PI in k 1.734 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.734 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.734 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.734 * [taylor]: Taking taylor expansion of -1 in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.735 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.735 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.735 * [taylor]: Taking taylor expansion of -1/2 in k 1.735 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.735 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.735 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.735 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.735 * [taylor]: Taking taylor expansion of -2 in k 1.735 * [taylor]: Taking taylor expansion of PI in k 1.735 * [taylor]: Taking taylor expansion of (log n) in k 1.735 * [taylor]: Taking taylor expansion of n in k 1.735 * [taylor]: Taking taylor expansion of k in k 1.746 * [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 1.746 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.746 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.746 * [taylor]: Taking taylor expansion of NAN in k 1.746 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.746 * [taylor]: Taking taylor expansion of PI in k 1.746 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.746 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.746 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.746 * [taylor]: Taking taylor expansion of -1 in k 1.746 * [taylor]: Taking taylor expansion of k in k 1.746 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.746 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.746 * [taylor]: Taking taylor expansion of -1/2 in k 1.746 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.746 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.746 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.746 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.746 * [taylor]: Taking taylor expansion of -2 in k 1.747 * [taylor]: Taking taylor expansion of PI in k 1.747 * [taylor]: Taking taylor expansion of (log n) in k 1.747 * [taylor]: Taking taylor expansion of n in k 1.747 * [taylor]: Taking taylor expansion of k in k 1.762 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.762 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1.762 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.762 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.762 * [taylor]: Taking taylor expansion of 2 in n 1.762 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.762 * [taylor]: Taking taylor expansion of (* n PI) in n 1.762 * [taylor]: Taking taylor expansion of n in n 1.762 * [taylor]: Taking taylor expansion of PI in n 1.763 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.763 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.763 * [taylor]: Taking taylor expansion of 2 in n 1.763 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.763 * [taylor]: Taking taylor expansion of (* n PI) in n 1.763 * [taylor]: Taking taylor expansion of n in n 1.763 * [taylor]: Taking taylor expansion of PI in n 1.772 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1.772 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1.772 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.772 * [taylor]: Taking taylor expansion of 2 in n 1.773 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 1.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.773 * [taylor]: Taking taylor expansion of PI in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.773 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1.773 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.773 * [taylor]: Taking taylor expansion of 2 in n 1.773 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 1.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.773 * [taylor]: Taking taylor expansion of PI in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.782 * [approximate]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1.782 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.782 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.782 * [taylor]: Taking taylor expansion of -2 in n 1.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.782 * [taylor]: Taking taylor expansion of PI in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.783 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.783 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.783 * [taylor]: Taking taylor expansion of -2 in n 1.783 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.783 * [taylor]: Taking taylor expansion of PI in n 1.783 * [taylor]: Taking taylor expansion of n in n 1.788 * * * [progress]: simplifying candidates 1.792 * [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 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(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)) 1.895 * * [simplify]: iteration 0 : 5004 enodes (cost 11742 ) 1.958 * [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 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(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))) 1.960 * * * [progress]: adding candidates to table 2.302 * * [progress]: iteration 3 / 4 2.302 * * * [progress]: picking best candidate 2.313 * * * * [pick]: Picked # 2.313 * * * [progress]: localizing error 2.324 * * * [progress]: generating rewritten candidates 2.324 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.329 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.334 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.345 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.350 * * * [progress]: generating series expansions 2.350 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.351 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.351 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.351 * [taylor]: Taking taylor expansion of 2 in n 2.351 * [taylor]: Taking taylor expansion of (* n PI) in n 2.351 * [taylor]: Taking taylor expansion of n in n 2.351 * [taylor]: Taking taylor expansion of PI in n 2.351 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.351 * [taylor]: Taking taylor expansion of 2 in n 2.351 * [taylor]: Taking taylor expansion of (* n PI) in n 2.351 * [taylor]: Taking taylor expansion of n in n 2.351 * [taylor]: Taking taylor expansion of PI in n 2.357 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.357 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.357 * [taylor]: Taking taylor expansion of 2 in n 2.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.357 * [taylor]: Taking taylor expansion of PI in n 2.357 * [taylor]: Taking taylor expansion of n in n 2.357 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.358 * [taylor]: Taking taylor expansion of 2 in n 2.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.358 * [taylor]: Taking taylor expansion of PI in n 2.358 * [taylor]: Taking taylor expansion of n in n 2.364 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.364 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.364 * [taylor]: Taking taylor expansion of -2 in n 2.365 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.365 * [taylor]: Taking taylor expansion of PI in n 2.365 * [taylor]: Taking taylor expansion of n in n 2.365 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.365 * [taylor]: Taking taylor expansion of -2 in n 2.365 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.365 * [taylor]: Taking taylor expansion of PI in n 2.365 * [taylor]: Taking taylor expansion of n in n 2.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.372 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.372 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.372 * [taylor]: Taking taylor expansion of 2 in n 2.372 * [taylor]: Taking taylor expansion of (* n PI) in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.372 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.372 * [taylor]: Taking taylor expansion of 2 in n 2.372 * [taylor]: Taking taylor expansion of (* n PI) in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.379 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.379 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.379 * [taylor]: Taking taylor expansion of 2 in n 2.379 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.379 * [taylor]: Taking taylor expansion of PI in n 2.379 * [taylor]: Taking taylor expansion of n in n 2.379 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.379 * [taylor]: Taking taylor expansion of 2 in n 2.379 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.379 * [taylor]: Taking taylor expansion of PI in n 2.379 * [taylor]: Taking taylor expansion of n in n 2.386 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.386 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.386 * [taylor]: Taking taylor expansion of -2 in n 2.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.386 * [taylor]: Taking taylor expansion of PI in n 2.386 * [taylor]: Taking taylor expansion of n in n 2.386 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.386 * [taylor]: Taking taylor expansion of -2 in n 2.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.386 * [taylor]: Taking taylor expansion of PI in n 2.386 * [taylor]: Taking taylor expansion of n in n 2.393 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.394 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in (n k) around 0 2.394 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in k 2.394 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 2.394 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 2.394 * [taylor]: Taking taylor expansion of (* n PI) in k 2.394 * [taylor]: Taking taylor expansion of n in k 2.394 * [taylor]: Taking taylor expansion of PI in k 2.394 * [taylor]: Taking taylor expansion of k in k 2.395 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 2.395 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.395 * [taylor]: Taking taylor expansion of 2 in k 2.395 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 2.395 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 2.395 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 2.395 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 2.395 * [taylor]: Taking taylor expansion of 1/2 in k 2.395 * [taylor]: Taking taylor expansion of k in k 2.395 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 2.395 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 2.395 * [taylor]: Taking taylor expansion of 2 in k 2.395 * [taylor]: Taking taylor expansion of (* n PI) in k 2.395 * [taylor]: Taking taylor expansion of n in k 2.395 * [taylor]: Taking taylor expansion of PI in k 2.397 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in n 2.397 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.397 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.397 * [taylor]: Taking taylor expansion of (* n PI) in n 2.397 * [taylor]: Taking taylor expansion of n in n 2.397 * [taylor]: Taking taylor expansion of PI in n 2.397 * [taylor]: Taking taylor expansion of k in n 2.398 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 2.398 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.398 * [taylor]: Taking taylor expansion of 2 in n 2.398 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 2.398 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 2.398 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 2.398 * [taylor]: Taking taylor expansion of 1/2 in n 2.398 * [taylor]: Taking taylor expansion of k in n 2.398 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.398 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.398 * [taylor]: Taking taylor expansion of 2 in n 2.398 * [taylor]: Taking taylor expansion of (* n PI) in n 2.398 * [taylor]: Taking taylor expansion of n in n 2.398 * [taylor]: Taking taylor expansion of PI in n 2.401 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in n 2.401 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.401 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.401 * [taylor]: Taking taylor expansion of (* n PI) in n 2.401 * [taylor]: Taking taylor expansion of n in n 2.401 * [taylor]: Taking taylor expansion of PI in n 2.401 * [taylor]: Taking taylor expansion of k in n 2.401 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 2.401 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.401 * [taylor]: Taking taylor expansion of 2 in n 2.402 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 2.402 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 2.402 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 2.402 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 2.402 * [taylor]: Taking taylor expansion of 1/2 in n 2.402 * [taylor]: Taking taylor expansion of k in n 2.402 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.402 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.402 * [taylor]: Taking taylor expansion of 2 in n 2.402 * [taylor]: Taking taylor expansion of (* n PI) in n 2.402 * [taylor]: Taking taylor expansion of n in n 2.402 * [taylor]: Taking taylor expansion of PI in n 2.405 * [taylor]: Taking taylor expansion of 0 in k 2.409 * [taylor]: Taking taylor expansion of (/ (* PI (* NAN (sqrt 2))) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 2.409 * [taylor]: Taking taylor expansion of (* PI (* NAN (sqrt 2))) in k 2.409 * [taylor]: Taking taylor expansion of PI in k 2.409 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2)) in k 2.409 * [taylor]: Taking taylor expansion of NAN in k 2.409 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.409 * [taylor]: Taking taylor expansion of 2 in k 2.410 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 2.410 * [taylor]: Taking taylor expansion of k in k 2.410 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 2.410 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 2.410 * [taylor]: Taking taylor expansion of 1/2 in k 2.410 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 2.410 * [taylor]: Taking taylor expansion of k in k 2.410 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 2.410 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.410 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.410 * [taylor]: Taking taylor expansion of 2 in k 2.410 * [taylor]: Taking taylor expansion of PI in k 2.410 * [taylor]: Taking taylor expansion of (log n) in k 2.410 * [taylor]: Taking taylor expansion of n in k 2.424 * [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 2.425 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) in k 2.425 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.425 * [taylor]: Taking taylor expansion of NAN in k 2.425 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 2.425 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.425 * [taylor]: Taking taylor expansion of 2 in k 2.425 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.425 * [taylor]: Taking taylor expansion of PI in k 2.425 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 2.425 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.425 * [taylor]: Taking taylor expansion of k in k 2.425 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 2.425 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 2.425 * [taylor]: Taking taylor expansion of 1/2 in k 2.425 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 2.425 * [taylor]: Taking taylor expansion of k in k 2.425 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 2.425 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.425 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.425 * [taylor]: Taking taylor expansion of 2 in k 2.425 * [taylor]: Taking taylor expansion of PI in k 2.426 * [taylor]: Taking taylor expansion of (log n) in k 2.426 * [taylor]: Taking taylor expansion of n in k 2.453 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 2.454 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 2.454 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in k 2.454 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in k 2.454 * [taylor]: Taking taylor expansion of (* k PI) in k 2.454 * [taylor]: Taking taylor expansion of k in k 2.454 * [taylor]: Taking taylor expansion of PI in k 2.454 * [taylor]: Taking taylor expansion of n in k 2.454 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 2.454 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.454 * [taylor]: Taking taylor expansion of 2 in k 2.454 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 2.454 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 2.454 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 2.454 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 2.454 * [taylor]: Taking taylor expansion of 1/2 in k 2.454 * [taylor]: Taking taylor expansion of k in k 2.455 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 2.455 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 2.455 * [taylor]: Taking taylor expansion of 2 in k 2.455 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.455 * [taylor]: Taking taylor expansion of PI in k 2.455 * [taylor]: Taking taylor expansion of n in k 2.456 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 2.456 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.456 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.456 * [taylor]: Taking taylor expansion of (* k PI) in n 2.456 * [taylor]: Taking taylor expansion of k in n 2.456 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of n in n 2.456 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 2.456 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.456 * [taylor]: Taking taylor expansion of 2 in n 2.456 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 2.456 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 2.456 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 2.457 * [taylor]: Taking taylor expansion of 1/2 in n 2.457 * [taylor]: Taking taylor expansion of k in n 2.457 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.457 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.457 * [taylor]: Taking taylor expansion of 2 in n 2.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.457 * [taylor]: Taking taylor expansion of PI in n 2.457 * [taylor]: Taking taylor expansion of n in n 2.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 2.459 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.459 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.459 * [taylor]: Taking taylor expansion of (* k PI) in n 2.459 * [taylor]: Taking taylor expansion of k in n 2.459 * [taylor]: Taking taylor expansion of PI in n 2.459 * [taylor]: Taking taylor expansion of n in n 2.459 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 2.459 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.459 * [taylor]: Taking taylor expansion of 2 in n 2.459 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 2.459 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 2.459 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 2.459 * [taylor]: Taking taylor expansion of 1/2 in n 2.459 * [taylor]: Taking taylor expansion of k in n 2.460 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.460 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.460 * [taylor]: Taking taylor expansion of 2 in n 2.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.460 * [taylor]: Taking taylor expansion of PI in n 2.460 * [taylor]: Taking taylor expansion of n in n 2.462 * [taylor]: Taking taylor expansion of 0 in k 2.467 * [taylor]: Taking taylor expansion of (/ (* k (* (sqrt 2) (* NAN PI))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.467 * [taylor]: Taking taylor expansion of (* k (* (sqrt 2) (* NAN PI))) in k 2.467 * [taylor]: Taking taylor expansion of k in k 2.467 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 2.467 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.467 * [taylor]: Taking taylor expansion of 2 in k 2.467 * [taylor]: Taking taylor expansion of (* NAN PI) in k 2.467 * [taylor]: Taking taylor expansion of NAN in k 2.467 * [taylor]: Taking taylor expansion of PI in k 2.467 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.467 * [taylor]: Taking taylor expansion of 1/2 in k 2.467 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.467 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.467 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.467 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.467 * [taylor]: Taking taylor expansion of 2 in k 2.467 * [taylor]: Taking taylor expansion of PI in k 2.467 * [taylor]: Taking taylor expansion of (log n) in k 2.467 * [taylor]: Taking taylor expansion of n in k 2.467 * [taylor]: Taking taylor expansion of k in k 2.478 * [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 2.478 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 2.478 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.478 * [taylor]: Taking taylor expansion of k in k 2.478 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 2.478 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.478 * [taylor]: Taking taylor expansion of 2 in k 2.479 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.479 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.479 * [taylor]: Taking taylor expansion of NAN in k 2.479 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.479 * [taylor]: Taking taylor expansion of PI in k 2.479 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.479 * [taylor]: Taking taylor expansion of 1/2 in k 2.479 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.479 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.479 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.479 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.479 * [taylor]: Taking taylor expansion of 2 in k 2.479 * [taylor]: Taking taylor expansion of PI in k 2.479 * [taylor]: Taking taylor expansion of (log n) in k 2.479 * [taylor]: Taking taylor expansion of n in k 2.479 * [taylor]: Taking taylor expansion of k in k 2.494 * [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 2.494 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) in k 2.494 * [taylor]: Taking taylor expansion of (pow k 3) in k 2.494 * [taylor]: Taking taylor expansion of k in k 2.494 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 2.494 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.494 * [taylor]: Taking taylor expansion of 2 in k 2.494 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 2.494 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 2.494 * [taylor]: Taking taylor expansion of NAN in k 2.494 * [taylor]: Taking taylor expansion of (pow PI 3) in k 2.494 * [taylor]: Taking taylor expansion of PI in k 2.494 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.494 * [taylor]: Taking taylor expansion of 1/2 in k 2.494 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.494 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.494 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.494 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.494 * [taylor]: Taking taylor expansion of 2 in k 2.494 * [taylor]: Taking taylor expansion of PI in k 2.495 * [taylor]: Taking taylor expansion of (log n) in k 2.495 * [taylor]: Taking taylor expansion of n in k 2.495 * [taylor]: Taking taylor expansion of k in k 2.516 * [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 2.516 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 2.516 * [taylor]: Taking taylor expansion of (pow k 4) in k 2.516 * [taylor]: Taking taylor expansion of k in k 2.516 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 2.516 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.516 * [taylor]: Taking taylor expansion of 2 in k 2.516 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 2.516 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 2.516 * [taylor]: Taking taylor expansion of NAN in k 2.516 * [taylor]: Taking taylor expansion of (pow PI 4) in k 2.516 * [taylor]: Taking taylor expansion of PI in k 2.516 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.516 * [taylor]: Taking taylor expansion of 1/2 in k 2.516 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.516 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.516 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.516 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.516 * [taylor]: Taking taylor expansion of 2 in k 2.516 * [taylor]: Taking taylor expansion of PI in k 2.516 * [taylor]: Taking taylor expansion of (log n) in k 2.516 * [taylor]: Taking taylor expansion of n in k 2.517 * [taylor]: Taking taylor expansion of k in k 2.543 * [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 2.543 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) in k 2.543 * [taylor]: Taking taylor expansion of (pow k 5) in k 2.543 * [taylor]: Taking taylor expansion of k in k 2.543 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 9) (pow PI 5))) in k 2.543 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.543 * [taylor]: Taking taylor expansion of 2 in k 2.543 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 2.543 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 2.543 * [taylor]: Taking taylor expansion of NAN in k 2.543 * [taylor]: Taking taylor expansion of (pow PI 5) in k 2.543 * [taylor]: Taking taylor expansion of PI in k 2.543 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.543 * [taylor]: Taking taylor expansion of 1/2 in k 2.543 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.543 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.543 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.543 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.543 * [taylor]: Taking taylor expansion of 2 in k 2.543 * [taylor]: Taking taylor expansion of PI in k 2.543 * [taylor]: Taking taylor expansion of (log n) in k 2.543 * [taylor]: Taking taylor expansion of n in k 2.543 * [taylor]: Taking taylor expansion of k in k 2.578 * [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 2.578 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 2.578 * [taylor]: Taking taylor expansion of (pow k 6) in k 2.578 * [taylor]: Taking taylor expansion of k in k 2.578 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 2.578 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.578 * [taylor]: Taking taylor expansion of 2 in k 2.578 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 2.578 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 2.578 * [taylor]: Taking taylor expansion of NAN in k 2.578 * [taylor]: Taking taylor expansion of (pow PI 6) in k 2.578 * [taylor]: Taking taylor expansion of PI in k 2.578 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.578 * [taylor]: Taking taylor expansion of 1/2 in k 2.578 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.578 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.578 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.578 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.578 * [taylor]: Taking taylor expansion of 2 in k 2.578 * [taylor]: Taking taylor expansion of PI in k 2.578 * [taylor]: Taking taylor expansion of (log n) in k 2.578 * [taylor]: Taking taylor expansion of n in k 2.578 * [taylor]: Taking taylor expansion of k in k 2.591 * [approximate]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in (n k) around 0 2.591 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 2.591 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 2.591 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.591 * [taylor]: Taking taylor expansion of -2 in k 2.591 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.591 * [taylor]: Taking taylor expansion of PI in k 2.591 * [taylor]: Taking taylor expansion of n in k 2.593 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 2.593 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.593 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.593 * [taylor]: Taking taylor expansion of -1 in k 2.593 * [taylor]: Taking taylor expansion of k in k 2.593 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 2.593 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 2.593 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 2.593 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 2.593 * [taylor]: Taking taylor expansion of -1/2 in k 2.593 * [taylor]: Taking taylor expansion of k in k 2.593 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 2.593 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.593 * [taylor]: Taking taylor expansion of -2 in k 2.593 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.593 * [taylor]: Taking taylor expansion of PI in k 2.593 * [taylor]: Taking taylor expansion of n in k 2.596 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 2.596 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.596 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.596 * [taylor]: Taking taylor expansion of -2 in n 2.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.596 * [taylor]: Taking taylor expansion of PI in n 2.596 * [taylor]: Taking taylor expansion of n in n 2.596 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 2.596 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.596 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.596 * [taylor]: Taking taylor expansion of -1 in n 2.596 * [taylor]: Taking taylor expansion of k in n 2.597 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 2.597 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 2.597 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 2.597 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 2.597 * [taylor]: Taking taylor expansion of -1/2 in n 2.597 * [taylor]: Taking taylor expansion of k in n 2.597 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.597 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.597 * [taylor]: Taking taylor expansion of -2 in n 2.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.597 * [taylor]: Taking taylor expansion of PI in n 2.597 * [taylor]: Taking taylor expansion of n in n 2.600 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 2.600 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.600 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.600 * [taylor]: Taking taylor expansion of -2 in n 2.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.600 * [taylor]: Taking taylor expansion of PI in n 2.600 * [taylor]: Taking taylor expansion of n in n 2.600 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 2.601 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.601 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.601 * [taylor]: Taking taylor expansion of -1 in n 2.601 * [taylor]: Taking taylor expansion of k in n 2.601 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 2.601 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 2.601 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 2.601 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 2.601 * [taylor]: Taking taylor expansion of -1/2 in n 2.601 * [taylor]: Taking taylor expansion of k in n 2.602 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.602 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.602 * [taylor]: Taking taylor expansion of -2 in n 2.602 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.602 * [taylor]: Taking taylor expansion of PI in n 2.602 * [taylor]: Taking taylor expansion of n in n 2.604 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 2.604 * [taylor]: Taking taylor expansion of (* NAN PI) in k 2.604 * [taylor]: Taking taylor expansion of NAN in k 2.604 * [taylor]: Taking taylor expansion of PI in k 2.604 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 2.604 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.604 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.604 * [taylor]: Taking taylor expansion of -1 in k 2.604 * [taylor]: Taking taylor expansion of k in k 2.605 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 2.605 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 2.605 * [taylor]: Taking taylor expansion of -1/2 in k 2.605 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 2.605 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.605 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.605 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.605 * [taylor]: Taking taylor expansion of -2 in k 2.605 * [taylor]: Taking taylor expansion of PI in k 2.605 * [taylor]: Taking taylor expansion of (log n) in k 2.605 * [taylor]: Taking taylor expansion of n in k 2.605 * [taylor]: Taking taylor expansion of k in k 2.615 * [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 2.615 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.615 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.615 * [taylor]: Taking taylor expansion of NAN in k 2.615 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.615 * [taylor]: Taking taylor expansion of PI in k 2.615 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 2.615 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.615 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.615 * [taylor]: Taking taylor expansion of -1 in k 2.615 * [taylor]: Taking taylor expansion of k in k 2.616 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 2.616 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 2.616 * [taylor]: Taking taylor expansion of -1/2 in k 2.616 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 2.616 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.616 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.616 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.616 * [taylor]: Taking taylor expansion of -2 in k 2.616 * [taylor]: Taking taylor expansion of PI in k 2.616 * [taylor]: Taking taylor expansion of (log n) in k 2.616 * [taylor]: Taking taylor expansion of n in k 2.616 * [taylor]: Taking taylor expansion of k in k 2.628 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.628 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 2.628 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 2.628 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.628 * [taylor]: Taking taylor expansion of 2 in n 2.629 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 2.629 * [taylor]: Taking taylor expansion of (* n PI) in n 2.629 * [taylor]: Taking taylor expansion of n in n 2.629 * [taylor]: Taking taylor expansion of PI in n 2.629 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 2.629 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.629 * [taylor]: Taking taylor expansion of 2 in n 2.629 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 2.629 * [taylor]: Taking taylor expansion of (* n PI) in n 2.629 * [taylor]: Taking taylor expansion of n in n 2.629 * [taylor]: Taking taylor expansion of PI in n 2.637 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 2.637 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 2.637 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.637 * [taylor]: Taking taylor expansion of 2 in n 2.637 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 2.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.637 * [taylor]: Taking taylor expansion of PI in n 2.637 * [taylor]: Taking taylor expansion of n in n 2.638 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 2.638 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.638 * [taylor]: Taking taylor expansion of 2 in n 2.638 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 2.638 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.638 * [taylor]: Taking taylor expansion of PI in n 2.638 * [taylor]: Taking taylor expansion of n in n 2.645 * [approximate]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 2.645 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.645 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.645 * [taylor]: Taking taylor expansion of -2 in n 2.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.645 * [taylor]: Taking taylor expansion of PI in n 2.645 * [taylor]: Taking taylor expansion of n in n 2.646 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.646 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.646 * [taylor]: Taking taylor expansion of -2 in n 2.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.646 * [taylor]: Taking taylor expansion of PI in n 2.646 * [taylor]: Taking taylor expansion of n in n 2.650 * * * [progress]: simplifying candidates 2.651 * [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)) 2.694 * * [simplify]: iteration 0 : 5249 enodes (cost 1884 ) 2.703 * [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))) 2.703 * * * [progress]: adding candidates to table 2.772 * * [progress]: iteration 4 / 4 2.772 * * * [progress]: picking best candidate 2.782 * * * * [pick]: Picked # 2.782 * * * [progress]: localizing error 2.793 * * * [progress]: generating rewritten candidates 2.793 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.801 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.806 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.811 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.817 * * * [progress]: generating series expansions 2.817 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.818 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (sqrt 2)) in (n k) around 0 2.818 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (sqrt 2)) in k 2.818 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 2.818 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 2.818 * [taylor]: Taking taylor expansion of (* n PI) in k 2.818 * [taylor]: Taking taylor expansion of n in k 2.818 * [taylor]: Taking taylor expansion of PI in k 2.818 * [taylor]: Taking taylor expansion of k in k 2.819 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.819 * [taylor]: Taking taylor expansion of 2 in k 2.819 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (sqrt 2)) in n 2.819 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.819 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.819 * [taylor]: Taking taylor expansion of (* n PI) in n 2.819 * [taylor]: Taking taylor expansion of n in n 2.819 * [taylor]: Taking taylor expansion of PI in n 2.819 * [taylor]: Taking taylor expansion of k in n 2.820 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.820 * [taylor]: Taking taylor expansion of 2 in n 2.820 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (sqrt 2)) in n 2.820 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.820 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.820 * [taylor]: Taking taylor expansion of (* n PI) in n 2.820 * [taylor]: Taking taylor expansion of n in n 2.820 * [taylor]: Taking taylor expansion of PI in n 2.820 * [taylor]: Taking taylor expansion of k in n 2.821 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.821 * [taylor]: Taking taylor expansion of 2 in n 2.821 * [taylor]: Taking taylor expansion of 0 in k 2.821 * [taylor]: Taking taylor expansion of (/ (* PI (* NAN (sqrt 2))) k) in k 2.821 * [taylor]: Taking taylor expansion of (* PI (* NAN (sqrt 2))) in k 2.821 * [taylor]: Taking taylor expansion of PI in k 2.821 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2)) in k 2.822 * [taylor]: Taking taylor expansion of NAN in k 2.822 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.822 * [taylor]: Taking taylor expansion of 2 in k 2.822 * [taylor]: Taking taylor expansion of k in k 2.825 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) (pow k 2)) in k 2.826 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) in k 2.826 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.826 * [taylor]: Taking taylor expansion of NAN in k 2.826 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 2.826 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.826 * [taylor]: Taking taylor expansion of 2 in k 2.826 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.826 * [taylor]: Taking taylor expansion of PI in k 2.826 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.826 * [taylor]: Taking taylor expansion of k in k 2.835 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) (pow k 3)) in k 2.835 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 2.835 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.835 * [taylor]: Taking taylor expansion of 2 in k 2.835 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 2.835 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 2.835 * [taylor]: Taking taylor expansion of NAN in k 2.835 * [taylor]: Taking taylor expansion of (pow PI 3) in k 2.835 * [taylor]: Taking taylor expansion of PI in k 2.835 * [taylor]: Taking taylor expansion of (pow k 3) in k 2.835 * [taylor]: Taking taylor expansion of k in k 2.849 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (sqrt 2)) in (n k) around 0 2.849 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (sqrt 2)) in k 2.849 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in k 2.849 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in k 2.849 * [taylor]: Taking taylor expansion of (* k PI) in k 2.849 * [taylor]: Taking taylor expansion of k in k 2.849 * [taylor]: Taking taylor expansion of PI in k 2.849 * [taylor]: Taking taylor expansion of n in k 2.849 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.849 * [taylor]: Taking taylor expansion of 2 in k 2.850 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (sqrt 2)) in n 2.850 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.850 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.850 * [taylor]: Taking taylor expansion of (* k PI) in n 2.850 * [taylor]: Taking taylor expansion of k in n 2.850 * [taylor]: Taking taylor expansion of PI in n 2.850 * [taylor]: Taking taylor expansion of n in n 2.850 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.850 * [taylor]: Taking taylor expansion of 2 in n 2.850 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (sqrt 2)) in n 2.850 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.850 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.850 * [taylor]: Taking taylor expansion of (* k PI) in n 2.850 * [taylor]: Taking taylor expansion of k in n 2.850 * [taylor]: Taking taylor expansion of PI in n 2.850 * [taylor]: Taking taylor expansion of n in n 2.851 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.851 * [taylor]: Taking taylor expansion of 2 in n 2.851 * [taylor]: Taking taylor expansion of 0 in k 2.852 * [taylor]: Taking taylor expansion of (* k (* NAN (* PI (sqrt 2)))) in k 2.852 * [taylor]: Taking taylor expansion of k in k 2.852 * [taylor]: Taking taylor expansion of (* NAN (* PI (sqrt 2))) in k 2.852 * [taylor]: Taking taylor expansion of NAN in k 2.852 * [taylor]: Taking taylor expansion of (* PI (sqrt 2)) in k 2.852 * [taylor]: Taking taylor expansion of PI in k 2.852 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.852 * [taylor]: Taking taylor expansion of 2 in k 2.855 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 2.855 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.855 * [taylor]: Taking taylor expansion of k in k 2.855 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 2.855 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.855 * [taylor]: Taking taylor expansion of 2 in k 2.856 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.856 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.856 * [taylor]: Taking taylor expansion of NAN in k 2.856 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.856 * [taylor]: Taking taylor expansion of PI in k 2.861 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (pow NAN 5) (* (pow PI 3) (sqrt 2)))) in k 2.861 * [taylor]: Taking taylor expansion of (pow k 3) in k 2.861 * [taylor]: Taking taylor expansion of k in k 2.861 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (* (pow PI 3) (sqrt 2))) in k 2.861 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 2.861 * [taylor]: Taking taylor expansion of NAN in k 2.861 * [taylor]: Taking taylor expansion of (* (pow PI 3) (sqrt 2)) in k 2.861 * [taylor]: Taking taylor expansion of (pow PI 3) in k 2.861 * [taylor]: Taking taylor expansion of PI in k 2.861 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.861 * [taylor]: Taking taylor expansion of 2 in k 2.868 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 2.868 * [taylor]: Taking taylor expansion of (pow k 4) in k 2.868 * [taylor]: Taking taylor expansion of k in k 2.868 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 2.868 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.868 * [taylor]: Taking taylor expansion of 2 in k 2.868 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 2.868 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 2.868 * [taylor]: Taking taylor expansion of NAN in k 2.868 * [taylor]: Taking taylor expansion of (pow PI 4) in k 2.868 * [taylor]: Taking taylor expansion of PI in k 2.880 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (pow NAN 9) (* (pow PI 5) (sqrt 2)))) in k 2.880 * [taylor]: Taking taylor expansion of (pow k 5) in k 2.880 * [taylor]: Taking taylor expansion of k in k 2.880 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (* (pow PI 5) (sqrt 2))) in k 2.880 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 2.880 * [taylor]: Taking taylor expansion of NAN in k 2.880 * [taylor]: Taking taylor expansion of (* (pow PI 5) (sqrt 2)) in k 2.880 * [taylor]: Taking taylor expansion of (pow PI 5) in k 2.880 * [taylor]: Taking taylor expansion of PI in k 2.880 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.880 * [taylor]: Taking taylor expansion of 2 in k 2.892 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 2.892 * [taylor]: Taking taylor expansion of (pow k 6) in k 2.892 * [taylor]: Taking taylor expansion of k in k 2.892 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 2.892 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.892 * [taylor]: Taking taylor expansion of 2 in k 2.892 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 2.892 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 2.892 * [taylor]: Taking taylor expansion of NAN in k 2.892 * [taylor]: Taking taylor expansion of (pow PI 6) in k 2.892 * [taylor]: Taking taylor expansion of PI in k 2.897 * [approximate]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in (n k) around 0 2.897 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in k 2.897 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 2.897 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.897 * [taylor]: Taking taylor expansion of -2 in k 2.897 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.897 * [taylor]: Taking taylor expansion of PI in k 2.897 * [taylor]: Taking taylor expansion of n in k 2.898 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.898 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.898 * [taylor]: Taking taylor expansion of -1 in k 2.898 * [taylor]: Taking taylor expansion of k in k 2.899 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n 2.899 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.899 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.899 * [taylor]: Taking taylor expansion of -2 in n 2.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.899 * [taylor]: Taking taylor expansion of PI in n 2.899 * [taylor]: Taking taylor expansion of n in n 2.899 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.899 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.899 * [taylor]: Taking taylor expansion of -1 in n 2.899 * [taylor]: Taking taylor expansion of k in n 2.900 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n 2.900 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.900 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.900 * [taylor]: Taking taylor expansion of -2 in n 2.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.900 * [taylor]: Taking taylor expansion of PI in n 2.900 * [taylor]: Taking taylor expansion of n in n 2.901 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.901 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.901 * [taylor]: Taking taylor expansion of -1 in n 2.901 * [taylor]: Taking taylor expansion of k in n 2.902 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (sqrt (/ -1 k))) in k 2.902 * [taylor]: Taking taylor expansion of (* NAN PI) in k 2.902 * [taylor]: Taking taylor expansion of NAN in k 2.902 * [taylor]: Taking taylor expansion of PI in k 2.902 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.902 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.902 * [taylor]: Taking taylor expansion of -1 in k 2.902 * [taylor]: Taking taylor expansion of k in k 2.904 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (sqrt (/ -1 k))) in k 2.904 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.904 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.904 * [taylor]: Taking taylor expansion of NAN in k 2.904 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.904 * [taylor]: Taking taylor expansion of PI in k 2.904 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.904 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.904 * [taylor]: Taking taylor expansion of -1 in k 2.904 * [taylor]: Taking taylor expansion of k in k 2.908 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.908 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.908 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.908 * [taylor]: Taking taylor expansion of 2 in n 2.908 * [taylor]: Taking taylor expansion of (* n PI) in n 2.908 * [taylor]: Taking taylor expansion of n in n 2.908 * [taylor]: Taking taylor expansion of PI in n 2.908 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.908 * [taylor]: Taking taylor expansion of 2 in n 2.908 * [taylor]: Taking taylor expansion of (* n PI) in n 2.908 * [taylor]: Taking taylor expansion of n in n 2.908 * [taylor]: Taking taylor expansion of PI in n 2.914 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.914 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.914 * [taylor]: Taking taylor expansion of 2 in n 2.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.914 * [taylor]: Taking taylor expansion of PI in n 2.914 * [taylor]: Taking taylor expansion of n in n 2.914 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.914 * [taylor]: Taking taylor expansion of 2 in n 2.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.914 * [taylor]: Taking taylor expansion of PI in n 2.914 * [taylor]: Taking taylor expansion of n in n 2.920 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.920 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.920 * [taylor]: Taking taylor expansion of -2 in n 2.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.921 * [taylor]: Taking taylor expansion of PI in n 2.921 * [taylor]: Taking taylor expansion of n in n 2.921 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.921 * [taylor]: Taking taylor expansion of -2 in n 2.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.921 * [taylor]: Taking taylor expansion of PI in n 2.921 * [taylor]: Taking taylor expansion of n in n 2.926 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.926 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.926 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.926 * [taylor]: Taking taylor expansion of 2 in n 2.927 * [taylor]: Taking taylor expansion of (* n PI) in n 2.927 * [taylor]: Taking taylor expansion of n in n 2.927 * [taylor]: Taking taylor expansion of PI in n 2.927 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.927 * [taylor]: Taking taylor expansion of 2 in n 2.927 * [taylor]: Taking taylor expansion of (* n PI) in n 2.927 * [taylor]: Taking taylor expansion of n in n 2.927 * [taylor]: Taking taylor expansion of PI in n 2.933 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.933 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.933 * [taylor]: Taking taylor expansion of 2 in n 2.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.933 * [taylor]: Taking taylor expansion of PI in n 2.933 * [taylor]: Taking taylor expansion of n in n 2.933 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.933 * [taylor]: Taking taylor expansion of 2 in n 2.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.933 * [taylor]: Taking taylor expansion of PI in n 2.933 * [taylor]: Taking taylor expansion of n in n 2.939 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.939 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.939 * [taylor]: Taking taylor expansion of -2 in n 2.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.939 * [taylor]: Taking taylor expansion of PI in n 2.939 * [taylor]: Taking taylor expansion of n in n 2.939 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.939 * [taylor]: Taking taylor expansion of -2 in n 2.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.939 * [taylor]: Taking taylor expansion of PI in n 2.939 * [taylor]: Taking taylor expansion of n in n 2.945 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.945 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 2.945 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 2.945 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.945 * [taylor]: Taking taylor expansion of 2 in n 2.945 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 2.945 * [taylor]: Taking taylor expansion of (* n PI) in n 2.945 * [taylor]: Taking taylor expansion of n in n 2.945 * [taylor]: Taking taylor expansion of PI in n 2.946 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 2.946 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.946 * [taylor]: Taking taylor expansion of 2 in n 2.946 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 2.946 * [taylor]: Taking taylor expansion of (* n PI) in n 2.946 * [taylor]: Taking taylor expansion of n in n 2.946 * [taylor]: Taking taylor expansion of PI in n 2.954 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 2.954 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 2.954 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.954 * [taylor]: Taking taylor expansion of 2 in n 2.954 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 2.954 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.954 * [taylor]: Taking taylor expansion of PI in n 2.954 * [taylor]: Taking taylor expansion of n in n 2.954 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 2.954 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.954 * [taylor]: Taking taylor expansion of 2 in n 2.955 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 2.955 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.955 * [taylor]: Taking taylor expansion of PI in n 2.955 * [taylor]: Taking taylor expansion of n in n 2.962 * [approximate]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 2.962 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.962 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.962 * [taylor]: Taking taylor expansion of -2 in n 2.962 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.962 * [taylor]: Taking taylor expansion of PI in n 2.962 * [taylor]: Taking taylor expansion of n in n 2.963 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 2.963 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.963 * [taylor]: Taking taylor expansion of -2 in n 2.963 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.963 * [taylor]: Taking taylor expansion of PI in n 2.963 * [taylor]: Taking taylor expansion of n in n 2.968 * * * [progress]: simplifying candidates 2.969 * [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)) 3.025 * * [simplify]: iteration 0 : 5077 enodes (cost 1956 ) 3.034 * [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))) 3.035 * * * [progress]: adding candidates to table 3.128 * [progress]: [Phase 3 of 3] Extracting. 3.128 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.131 * * * [regime-changes]: Trying 3 branch expressions: ((*.f64 (*.f64 2 PI.f64) n) n k) 3.131 * * * * [regimes]: Trying to branch on (*.f64 (*.f64 2 PI.f64) n) from (# # # # # # # #) 3.166 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 3.187 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 3.206 * * * [regime]: Found split indices: #