6.354 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.085 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.087 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.090 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.098 * * [simplify]: iteration 3 : 114 enodes (cost 16 ) 0.116 * * [simplify]: iteration 4 : 300 enodes (cost 16 ) 0.183 * * [simplify]: iteration 5 : 849 enodes (cost 16 ) 0.495 * * [simplify]: iteration 6 : 3228 enodes (cost 16 ) 1.803 * * [simplify]: iteration done : 5001 enodes (cost 16 ) 1.803 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.803 * * [progress]: iteration 1 / 4 1.803 * * * [progress]: picking best candidate 1.805 * * * * [pick]: Picked # 1.805 * * * [progress]: localizing error 1.818 * * * [progress]: generating rewritten candidates 1.818 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.821 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.830 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.837 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.859 * * * [progress]: generating series expansions 1.859 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.859 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.859 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.859 * [taylor]: Taking taylor expansion of 1.0 in k 1.859 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.859 * [taylor]: Taking taylor expansion of k in k 1.861 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.861 * [taylor]: Taking taylor expansion of 1.0 in k 1.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.861 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.861 * [taylor]: Taking taylor expansion of k in k 1.876 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.876 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.876 * [taylor]: Taking taylor expansion of 1.0 in k 1.876 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.876 * [taylor]: Taking taylor expansion of k in k 1.877 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.877 * [taylor]: Taking taylor expansion of 1.0 in k 1.877 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.877 * [taylor]: Taking taylor expansion of k in k 1.887 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.887 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.887 * [taylor]: Taking taylor expansion of 1.0 in k 1.887 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.887 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.887 * [taylor]: Taking taylor expansion of -1 in k 1.887 * [taylor]: Taking taylor expansion of k in k 1.889 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.889 * [taylor]: Taking taylor expansion of 1.0 in k 1.889 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.889 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.889 * [taylor]: Taking taylor expansion of -1 in k 1.889 * [taylor]: Taking taylor expansion of k in k 1.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.901 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.901 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.901 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.901 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.901 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.901 * [taylor]: Taking taylor expansion of 0.5 in k 1.901 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.901 * [taylor]: Taking taylor expansion of 1.0 in k 1.901 * [taylor]: Taking taylor expansion of k in k 1.901 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.901 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.901 * [taylor]: Taking taylor expansion of 2.0 in k 1.901 * [taylor]: Taking taylor expansion of (* n PI) in k 1.901 * [taylor]: Taking taylor expansion of n in k 1.901 * [taylor]: Taking taylor expansion of PI in k 1.902 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.902 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.902 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.902 * [taylor]: Taking taylor expansion of 0.5 in n 1.902 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of k in n 1.902 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.902 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.902 * [taylor]: Taking taylor expansion of 2.0 in n 1.902 * [taylor]: Taking taylor expansion of (* n PI) in n 1.902 * [taylor]: Taking taylor expansion of n in n 1.902 * [taylor]: Taking taylor expansion of PI in n 1.908 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.908 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.908 * [taylor]: Taking taylor expansion of 0.5 in n 1.908 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.908 * [taylor]: Taking taylor expansion of 1.0 in n 1.908 * [taylor]: Taking taylor expansion of k in n 1.908 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.908 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.908 * [taylor]: Taking taylor expansion of 2.0 in n 1.908 * [taylor]: Taking taylor expansion of (* n PI) in n 1.908 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of PI in n 1.913 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.913 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.913 * [taylor]: Taking taylor expansion of 0.5 in k 1.913 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.913 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.913 * [taylor]: Taking taylor expansion of 1.0 in k 1.913 * [taylor]: Taking taylor expansion of k in k 1.913 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.913 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.913 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.913 * [taylor]: Taking taylor expansion of 2.0 in k 1.914 * [taylor]: Taking taylor expansion of PI in k 1.914 * [taylor]: Taking taylor expansion of (log n) in k 1.914 * [taylor]: Taking taylor expansion of n in k 1.924 * [taylor]: Taking taylor expansion of 0 in k 1.939 * [taylor]: Taking taylor expansion of 0 in k 1.961 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.961 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.961 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.961 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.961 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.961 * [taylor]: Taking taylor expansion of 0.5 in k 1.961 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.961 * [taylor]: Taking taylor expansion of 1.0 in k 1.961 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.961 * [taylor]: Taking taylor expansion of k in k 1.961 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.961 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.961 * [taylor]: Taking taylor expansion of 2.0 in k 1.961 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.961 * [taylor]: Taking taylor expansion of PI in k 1.961 * [taylor]: Taking taylor expansion of n in k 1.962 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.962 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.962 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.962 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.962 * [taylor]: Taking taylor expansion of 0.5 in n 1.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.962 * [taylor]: Taking taylor expansion of 1.0 in n 1.962 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.962 * [taylor]: Taking taylor expansion of k in n 1.963 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.963 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.963 * [taylor]: Taking taylor expansion of 2.0 in n 1.963 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.963 * [taylor]: Taking taylor expansion of PI in n 1.963 * [taylor]: Taking taylor expansion of n in n 1.966 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.966 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.966 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.966 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.966 * [taylor]: Taking taylor expansion of 0.5 in n 1.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.966 * [taylor]: Taking taylor expansion of 1.0 in n 1.966 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.966 * [taylor]: Taking taylor expansion of k in n 1.966 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.966 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.966 * [taylor]: Taking taylor expansion of 2.0 in n 1.966 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.966 * [taylor]: Taking taylor expansion of PI in n 1.966 * [taylor]: Taking taylor expansion of n in n 1.970 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.970 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.970 * [taylor]: Taking taylor expansion of 0.5 in k 1.970 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.970 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.970 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.970 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.970 * [taylor]: Taking taylor expansion of 2.0 in k 1.970 * [taylor]: Taking taylor expansion of PI in k 1.971 * [taylor]: Taking taylor expansion of (log n) in k 1.971 * [taylor]: Taking taylor expansion of n in k 1.971 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.971 * [taylor]: Taking taylor expansion of 1.0 in k 1.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.971 * [taylor]: Taking taylor expansion of k in k 1.981 * [taylor]: Taking taylor expansion of 0 in k 1.987 * [taylor]: Taking taylor expansion of 0 in k 1.996 * [taylor]: Taking taylor expansion of 0 in k 1.998 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.998 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.998 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.998 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.998 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.998 * [taylor]: Taking taylor expansion of 0.5 in k 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.998 * [taylor]: Taking taylor expansion of k in k 1.998 * [taylor]: Taking taylor expansion of 1.0 in k 1.998 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.998 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.998 * [taylor]: Taking taylor expansion of -2.0 in k 1.998 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.998 * [taylor]: Taking taylor expansion of PI in k 1.998 * [taylor]: Taking taylor expansion of n in k 1.999 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.999 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.999 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.999 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.999 * [taylor]: Taking taylor expansion of 0.5 in n 1.999 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.999 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.999 * [taylor]: Taking taylor expansion of k in n 1.999 * [taylor]: Taking taylor expansion of 1.0 in n 1.999 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.999 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.999 * [taylor]: Taking taylor expansion of -2.0 in n 1.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.999 * [taylor]: Taking taylor expansion of PI in n 1.999 * [taylor]: Taking taylor expansion of n in n 2.003 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.003 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.003 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.003 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.003 * [taylor]: Taking taylor expansion of 0.5 in n 2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.003 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.003 * [taylor]: Taking taylor expansion of k in n 2.003 * [taylor]: Taking taylor expansion of 1.0 in n 2.003 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.003 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.003 * [taylor]: Taking taylor expansion of -2.0 in n 2.003 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.003 * [taylor]: Taking taylor expansion of PI in n 2.003 * [taylor]: Taking taylor expansion of n in n 2.007 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.007 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.007 * [taylor]: Taking taylor expansion of 0.5 in k 2.007 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.007 * [taylor]: Taking taylor expansion of k in k 2.007 * [taylor]: Taking taylor expansion of 1.0 in k 2.007 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.007 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.007 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.007 * [taylor]: Taking taylor expansion of -2.0 in k 2.007 * [taylor]: Taking taylor expansion of PI in k 2.008 * [taylor]: Taking taylor expansion of (log n) in k 2.008 * [taylor]: Taking taylor expansion of n in k 2.017 * [taylor]: Taking taylor expansion of 0 in k 2.024 * [taylor]: Taking taylor expansion of 0 in k 2.033 * [taylor]: Taking taylor expansion of 0 in k 2.034 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.034 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.034 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.034 * [taylor]: Taking taylor expansion of 2.0 in n 2.034 * [taylor]: Taking taylor expansion of (* n PI) in n 2.034 * [taylor]: Taking taylor expansion of n in n 2.034 * [taylor]: Taking taylor expansion of PI in n 2.034 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.034 * [taylor]: Taking taylor expansion of 2.0 in n 2.034 * [taylor]: Taking taylor expansion of (* n PI) in n 2.037 * [taylor]: Taking taylor expansion of n in n 2.037 * [taylor]: Taking taylor expansion of PI in n 2.049 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.049 * [taylor]: Taking taylor expansion of 2.0 in n 2.049 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.049 * [taylor]: Taking taylor expansion of PI in n 2.049 * [taylor]: Taking taylor expansion of n in n 2.050 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.050 * [taylor]: Taking taylor expansion of 2.0 in n 2.050 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.050 * [taylor]: Taking taylor expansion of PI in n 2.050 * [taylor]: Taking taylor expansion of n in n 2.058 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.058 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.058 * [taylor]: Taking taylor expansion of -2.0 in n 2.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.058 * [taylor]: Taking taylor expansion of PI in n 2.058 * [taylor]: Taking taylor expansion of n in n 2.059 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.059 * [taylor]: Taking taylor expansion of -2.0 in n 2.059 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.059 * [taylor]: Taking taylor expansion of PI in n 2.059 * [taylor]: Taking taylor expansion of n in n 2.067 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.068 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.068 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.068 * [taylor]: Taking taylor expansion of 1.0 in n 2.068 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.068 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.068 * [taylor]: Taking taylor expansion of k in n 2.068 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.068 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.068 * [taylor]: Taking taylor expansion of 0.5 in n 2.068 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.068 * [taylor]: Taking taylor expansion of 1.0 in n 2.068 * [taylor]: Taking taylor expansion of k in n 2.068 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.068 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.068 * [taylor]: Taking taylor expansion of 2.0 in n 2.068 * [taylor]: Taking taylor expansion of (* n PI) in n 2.068 * [taylor]: Taking taylor expansion of n in n 2.068 * [taylor]: Taking taylor expansion of PI in n 2.074 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.074 * [taylor]: Taking taylor expansion of 1.0 in k 2.074 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.074 * [taylor]: Taking taylor expansion of k in k 2.075 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.075 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.075 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.075 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.075 * [taylor]: Taking taylor expansion of 0.5 in k 2.075 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.075 * [taylor]: Taking taylor expansion of 1.0 in k 2.075 * [taylor]: Taking taylor expansion of k in k 2.075 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.075 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.075 * [taylor]: Taking taylor expansion of 2.0 in k 2.075 * [taylor]: Taking taylor expansion of (* n PI) in k 2.075 * [taylor]: Taking taylor expansion of n in k 2.075 * [taylor]: Taking taylor expansion of PI in k 2.076 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.076 * [taylor]: Taking taylor expansion of 1.0 in k 2.076 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.076 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.076 * [taylor]: Taking taylor expansion of k in k 2.078 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.078 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.078 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.078 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.078 * [taylor]: Taking taylor expansion of 0.5 in k 2.078 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.078 * [taylor]: Taking taylor expansion of 1.0 in k 2.078 * [taylor]: Taking taylor expansion of k in k 2.078 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.078 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.078 * [taylor]: Taking taylor expansion of 2.0 in k 2.078 * [taylor]: Taking taylor expansion of (* n PI) in k 2.078 * [taylor]: Taking taylor expansion of n in k 2.078 * [taylor]: Taking taylor expansion of PI in k 2.079 * [taylor]: Taking taylor expansion of 0 in n 2.085 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.085 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.085 * [taylor]: Taking taylor expansion of +nan.0 in n 2.085 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.085 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.085 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.085 * [taylor]: Taking taylor expansion of 0.5 in n 2.085 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.085 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.085 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.085 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.085 * [taylor]: Taking taylor expansion of 1.0 in n 2.085 * [taylor]: Taking taylor expansion of (log PI) in n 2.085 * [taylor]: Taking taylor expansion of PI in n 2.087 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.087 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.087 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.087 * [taylor]: Taking taylor expansion of 1.0 in n 2.087 * [taylor]: Taking taylor expansion of (log n) in n 2.087 * [taylor]: Taking taylor expansion of n in n 2.088 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.088 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.088 * [taylor]: Taking taylor expansion of 1.0 in n 2.088 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.088 * [taylor]: Taking taylor expansion of 2.0 in n 2.107 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.107 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.107 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.107 * [taylor]: Taking taylor expansion of +nan.0 in n 2.107 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.107 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.107 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.107 * [taylor]: Taking taylor expansion of 0.5 in n 2.107 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.107 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.107 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.107 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.107 * [taylor]: Taking taylor expansion of 1.0 in n 2.107 * [taylor]: Taking taylor expansion of (log PI) in n 2.107 * [taylor]: Taking taylor expansion of PI in n 2.109 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.109 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.109 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.109 * [taylor]: Taking taylor expansion of 1.0 in n 2.109 * [taylor]: Taking taylor expansion of (log n) in n 2.109 * [taylor]: Taking taylor expansion of n in n 2.110 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.110 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.110 * [taylor]: Taking taylor expansion of 1.0 in n 2.110 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.110 * [taylor]: Taking taylor expansion of 2.0 in n 2.115 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.115 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.115 * [taylor]: Taking taylor expansion of +nan.0 in n 2.115 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.115 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.115 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.115 * [taylor]: Taking taylor expansion of 0.5 in n 2.115 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.115 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.115 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.115 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.115 * [taylor]: Taking taylor expansion of 1.0 in n 2.115 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.115 * [taylor]: Taking taylor expansion of 2.0 in n 2.117 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.117 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.117 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.117 * [taylor]: Taking taylor expansion of 1.0 in n 2.117 * [taylor]: Taking taylor expansion of (log PI) in n 2.117 * [taylor]: Taking taylor expansion of PI in n 2.119 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.119 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.119 * [taylor]: Taking taylor expansion of 1.0 in n 2.119 * [taylor]: Taking taylor expansion of (log n) in n 2.119 * [taylor]: Taking taylor expansion of n in n 2.126 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.126 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.126 * [taylor]: Taking taylor expansion of 2.0 in n 2.126 * [taylor]: Taking taylor expansion of (* n PI) in n 2.126 * [taylor]: Taking taylor expansion of n in n 2.126 * [taylor]: Taking taylor expansion of PI in n 2.175 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.175 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.175 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.175 * [taylor]: Taking taylor expansion of +nan.0 in n 2.175 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.175 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.175 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.176 * [taylor]: Taking taylor expansion of 1.0 in n 2.176 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.176 * [taylor]: Taking taylor expansion of 2.0 in n 2.177 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.177 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log n) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.178 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.178 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.178 * [taylor]: Taking taylor expansion of 1.0 in n 2.178 * [taylor]: Taking taylor expansion of (log PI) in n 2.178 * [taylor]: Taking taylor expansion of PI in n 2.183 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.183 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.183 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.183 * [taylor]: Taking taylor expansion of +nan.0 in n 2.183 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.183 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.183 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.184 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.184 * [taylor]: Taking taylor expansion of 0.5 in n 2.184 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.184 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.184 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.184 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.184 * [taylor]: Taking taylor expansion of 1.0 in n 2.184 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.184 * [taylor]: Taking taylor expansion of 2.0 in n 2.185 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.185 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.185 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.185 * [taylor]: Taking taylor expansion of 1.0 in n 2.186 * [taylor]: Taking taylor expansion of (log PI) in n 2.186 * [taylor]: Taking taylor expansion of PI in n 2.187 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.187 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.187 * [taylor]: Taking taylor expansion of 1.0 in n 2.187 * [taylor]: Taking taylor expansion of (log n) in n 2.187 * [taylor]: Taking taylor expansion of n in n 2.191 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.192 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.192 * [taylor]: Taking taylor expansion of 2.0 in n 2.192 * [taylor]: Taking taylor expansion of (* n PI) in n 2.192 * [taylor]: Taking taylor expansion of n in n 2.192 * [taylor]: Taking taylor expansion of PI in n 2.195 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.195 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.195 * [taylor]: Taking taylor expansion of +nan.0 in n 2.195 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.195 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.195 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.195 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.195 * [taylor]: Taking taylor expansion of 0.5 in n 2.195 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.195 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.195 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.195 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.195 * [taylor]: Taking taylor expansion of 1.0 in n 2.195 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.195 * [taylor]: Taking taylor expansion of 2.0 in n 2.197 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.197 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.197 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.197 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.197 * [taylor]: Taking taylor expansion of 1.0 in n 2.197 * [taylor]: Taking taylor expansion of (log PI) in n 2.197 * [taylor]: Taking taylor expansion of PI in n 2.199 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.199 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.199 * [taylor]: Taking taylor expansion of 1.0 in n 2.199 * [taylor]: Taking taylor expansion of (log n) in n 2.199 * [taylor]: Taking taylor expansion of n in n 2.203 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.203 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.203 * [taylor]: Taking taylor expansion of 2.0 in n 2.204 * [taylor]: Taking taylor expansion of (* n PI) in n 2.204 * [taylor]: Taking taylor expansion of n in n 2.204 * [taylor]: Taking taylor expansion of PI in n 2.279 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.279 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.279 * [taylor]: Taking taylor expansion of 1.0 in n 2.279 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.279 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.280 * [taylor]: Taking taylor expansion of k in n 2.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.280 * [taylor]: Taking taylor expansion of 0.5 in n 2.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.280 * [taylor]: Taking taylor expansion of 1.0 in n 2.280 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.280 * [taylor]: Taking taylor expansion of k in n 2.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.280 * [taylor]: Taking taylor expansion of 2.0 in n 2.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.280 * [taylor]: Taking taylor expansion of PI in n 2.280 * [taylor]: Taking taylor expansion of n in n 2.283 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.283 * [taylor]: Taking taylor expansion of 1.0 in k 2.283 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.283 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.283 * [taylor]: Taking taylor expansion of k in k 2.285 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.285 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.285 * [taylor]: Taking taylor expansion of 0.5 in k 2.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.285 * [taylor]: Taking taylor expansion of 1.0 in k 2.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.285 * [taylor]: Taking taylor expansion of k in k 2.285 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.285 * [taylor]: Taking taylor expansion of 2.0 in k 2.285 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.285 * [taylor]: Taking taylor expansion of PI in k 2.285 * [taylor]: Taking taylor expansion of n in k 2.286 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.286 * [taylor]: Taking taylor expansion of 1.0 in k 2.286 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.286 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.286 * [taylor]: Taking taylor expansion of k in k 2.287 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.287 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.287 * [taylor]: Taking taylor expansion of 0.5 in k 2.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.287 * [taylor]: Taking taylor expansion of 1.0 in k 2.287 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.287 * [taylor]: Taking taylor expansion of k in k 2.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.288 * [taylor]: Taking taylor expansion of 2.0 in k 2.288 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.288 * [taylor]: Taking taylor expansion of PI in k 2.288 * [taylor]: Taking taylor expansion of n in k 2.289 * [taylor]: Taking taylor expansion of 0 in n 2.290 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.290 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.290 * [taylor]: Taking taylor expansion of +nan.0 in n 2.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.290 * [taylor]: Taking taylor expansion of 0.5 in n 2.290 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.290 * [taylor]: Taking taylor expansion of 2.0 in n 2.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.290 * [taylor]: Taking taylor expansion of PI in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.291 * [taylor]: Taking taylor expansion of 1.0 in n 2.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.291 * [taylor]: Taking taylor expansion of k in n 2.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.303 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.303 * [taylor]: Taking taylor expansion of +nan.0 in n 2.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.303 * [taylor]: Taking taylor expansion of 0.5 in n 2.303 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.303 * [taylor]: Taking taylor expansion of 2.0 in n 2.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.303 * [taylor]: Taking taylor expansion of PI in n 2.303 * [taylor]: Taking taylor expansion of n in n 2.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.304 * [taylor]: Taking taylor expansion of 1.0 in n 2.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.304 * [taylor]: Taking taylor expansion of k in n 2.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.321 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.321 * [taylor]: Taking taylor expansion of +nan.0 in n 2.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.321 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.321 * [taylor]: Taking taylor expansion of 0.5 in n 2.321 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.321 * [taylor]: Taking taylor expansion of 2.0 in n 2.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.321 * [taylor]: Taking taylor expansion of PI in n 2.321 * [taylor]: Taking taylor expansion of n in n 2.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.322 * [taylor]: Taking taylor expansion of 1.0 in n 2.322 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.322 * [taylor]: Taking taylor expansion of k in n 2.331 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.331 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.331 * [taylor]: Taking taylor expansion of 1.0 in n 2.331 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.331 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.331 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.331 * [taylor]: Taking taylor expansion of 0.5 in n 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.331 * [taylor]: Taking taylor expansion of k in n 2.331 * [taylor]: Taking taylor expansion of 1.0 in n 2.331 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.331 * [taylor]: Taking taylor expansion of -2.0 in n 2.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.331 * [taylor]: Taking taylor expansion of PI in n 2.331 * [taylor]: Taking taylor expansion of n in n 2.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.335 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.335 * [taylor]: Taking taylor expansion of -1 in n 2.335 * [taylor]: Taking taylor expansion of k in n 2.336 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.336 * [taylor]: Taking taylor expansion of 1.0 in k 2.336 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.336 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.336 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.336 * [taylor]: Taking taylor expansion of 0.5 in k 2.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.336 * [taylor]: Taking taylor expansion of k in k 2.336 * [taylor]: Taking taylor expansion of 1.0 in k 2.336 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.336 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.336 * [taylor]: Taking taylor expansion of -2.0 in k 2.336 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.336 * [taylor]: Taking taylor expansion of PI in k 2.336 * [taylor]: Taking taylor expansion of n in k 2.337 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.337 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.337 * [taylor]: Taking taylor expansion of -1 in k 2.337 * [taylor]: Taking taylor expansion of k in k 2.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.339 * [taylor]: Taking taylor expansion of 1.0 in k 2.339 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.339 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.339 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.339 * [taylor]: Taking taylor expansion of 0.5 in k 2.339 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.339 * [taylor]: Taking taylor expansion of k in k 2.339 * [taylor]: Taking taylor expansion of 1.0 in k 2.339 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.339 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.339 * [taylor]: Taking taylor expansion of -2.0 in k 2.339 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.339 * [taylor]: Taking taylor expansion of PI in k 2.339 * [taylor]: Taking taylor expansion of n in k 2.340 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.340 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.340 * [taylor]: Taking taylor expansion of -1 in k 2.340 * [taylor]: Taking taylor expansion of k in k 2.342 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.342 * [taylor]: Taking taylor expansion of +nan.0 in n 2.342 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.342 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.342 * [taylor]: Taking taylor expansion of 0.5 in n 2.342 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.342 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.342 * [taylor]: Taking taylor expansion of k in n 2.342 * [taylor]: Taking taylor expansion of 1.0 in n 2.342 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.342 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.342 * [taylor]: Taking taylor expansion of -2.0 in n 2.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.342 * [taylor]: Taking taylor expansion of PI in n 2.342 * [taylor]: Taking taylor expansion of n in n 2.351 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.351 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.351 * [taylor]: Taking taylor expansion of +nan.0 in n 2.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.351 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.351 * [taylor]: Taking taylor expansion of 0.5 in n 2.351 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.351 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.351 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.351 * [taylor]: Taking taylor expansion of k in n 2.351 * [taylor]: Taking taylor expansion of 1.0 in n 2.351 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.351 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.351 * [taylor]: Taking taylor expansion of -2.0 in n 2.351 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.351 * [taylor]: Taking taylor expansion of PI in n 2.351 * [taylor]: Taking taylor expansion of n in n 2.368 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.369 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.369 * [taylor]: Taking taylor expansion of +nan.0 in n 2.369 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.369 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.369 * [taylor]: Taking taylor expansion of 0.5 in n 2.369 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.369 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.369 * [taylor]: Taking taylor expansion of k in n 2.369 * [taylor]: Taking taylor expansion of 1.0 in n 2.369 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.369 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.369 * [taylor]: Taking taylor expansion of -2.0 in n 2.369 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.369 * [taylor]: Taking taylor expansion of PI in n 2.369 * [taylor]: Taking taylor expansion of n in n 2.378 * * * [progress]: simplifying candidates 2.383 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.404 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 2.473 * * [simplify]: iteration 1 : 956 enodes (cost 2643 ) 2.682 * * [simplify]: iteration 2 : 3447 enodes (cost 2475 ) 3.364 * * [simplify]: iteration done : 5001 enodes (cost 2463 ) 3.365 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* (* PI n) 2.0) 3) (pow (* (* PI n) 2.0) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* PI n) 2.0) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* PI n) 2.0) 0.5)) (* (pow (log n) 2) (pow (* (* PI n) 2.0) 0.5)))) (- (+ (* (* 0.25 (pow k 2)) (* (pow (* (* PI n) 2.0) 0.5) (* (log (* 2.0 PI)) (log n)))) (pow (* (* PI n) 2.0) 0.5)) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* (* PI n) 2.0) 0.5)) (* (log n) (pow (* (* PI n) 2.0) 0.5)))))) (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (- (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (- (/ (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* +nan.0 (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k))) (pow k 3))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 3.366 * * * [progress]: adding candidates to table 3.771 * * [progress]: iteration 2 / 4 3.771 * * * [progress]: picking best candidate 3.806 * * * * [pick]: Picked # 3.806 * * * [progress]: localizing error 3.820 * * * [progress]: generating rewritten candidates 3.820 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.823 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.826 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 3.835 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 3.845 * * * [progress]: generating series expansions 3.846 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 3.846 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.846 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.846 * [taylor]: Taking taylor expansion of 1.0 in k 3.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.846 * [taylor]: Taking taylor expansion of k in k 3.847 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.847 * [taylor]: Taking taylor expansion of 1.0 in k 3.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.847 * [taylor]: Taking taylor expansion of k in k 3.859 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.859 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.859 * [taylor]: Taking taylor expansion of 1.0 in k 3.859 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.859 * [taylor]: Taking taylor expansion of k in k 3.860 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.860 * [taylor]: Taking taylor expansion of 1.0 in k 3.860 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.860 * [taylor]: Taking taylor expansion of k in k 3.870 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.870 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.870 * [taylor]: Taking taylor expansion of 1.0 in k 3.870 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.870 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.870 * [taylor]: Taking taylor expansion of -1 in k 3.870 * [taylor]: Taking taylor expansion of k in k 3.875 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.875 * [taylor]: Taking taylor expansion of 1.0 in k 3.875 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.875 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.875 * [taylor]: Taking taylor expansion of -1 in k 3.875 * [taylor]: Taking taylor expansion of k in k 3.887 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.887 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.887 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.887 * [taylor]: Taking taylor expansion of 1.0 in k 3.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.887 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.887 * [taylor]: Taking taylor expansion of k in k 3.889 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.889 * [taylor]: Taking taylor expansion of 1.0 in k 3.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.889 * [taylor]: Taking taylor expansion of k in k 3.899 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.900 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.900 * [taylor]: Taking taylor expansion of 1.0 in k 3.900 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.900 * [taylor]: Taking taylor expansion of k in k 3.901 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.901 * [taylor]: Taking taylor expansion of 1.0 in k 3.901 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.901 * [taylor]: Taking taylor expansion of k in k 3.911 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.911 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.911 * [taylor]: Taking taylor expansion of 1.0 in k 3.911 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.911 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.911 * [taylor]: Taking taylor expansion of -1 in k 3.911 * [taylor]: Taking taylor expansion of k in k 3.912 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.912 * [taylor]: Taking taylor expansion of 1.0 in k 3.912 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.912 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.912 * [taylor]: Taking taylor expansion of -1 in k 3.912 * [taylor]: Taking taylor expansion of k in k 3.924 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 3.924 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.924 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.924 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.924 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.924 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.924 * [taylor]: Taking taylor expansion of 0.5 in k 3.924 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.924 * [taylor]: Taking taylor expansion of 1.0 in k 3.924 * [taylor]: Taking taylor expansion of k in k 3.924 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.924 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.924 * [taylor]: Taking taylor expansion of 2.0 in k 3.925 * [taylor]: Taking taylor expansion of (* n PI) in k 3.925 * [taylor]: Taking taylor expansion of n in k 3.925 * [taylor]: Taking taylor expansion of PI in k 3.926 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.926 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.926 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.926 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.926 * [taylor]: Taking taylor expansion of 0.5 in n 3.926 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.926 * [taylor]: Taking taylor expansion of 1.0 in n 3.926 * [taylor]: Taking taylor expansion of k in n 3.926 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.926 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.926 * [taylor]: Taking taylor expansion of 2.0 in n 3.926 * [taylor]: Taking taylor expansion of (* n PI) in n 3.926 * [taylor]: Taking taylor expansion of n in n 3.926 * [taylor]: Taking taylor expansion of PI in n 3.931 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.931 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.931 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.931 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.931 * [taylor]: Taking taylor expansion of 0.5 in n 3.931 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.931 * [taylor]: Taking taylor expansion of 1.0 in n 3.931 * [taylor]: Taking taylor expansion of k in n 3.931 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.931 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.931 * [taylor]: Taking taylor expansion of 2.0 in n 3.931 * [taylor]: Taking taylor expansion of (* n PI) in n 3.931 * [taylor]: Taking taylor expansion of n in n 3.931 * [taylor]: Taking taylor expansion of PI in n 3.937 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.937 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.937 * [taylor]: Taking taylor expansion of 0.5 in k 3.937 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.937 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.937 * [taylor]: Taking taylor expansion of 1.0 in k 3.937 * [taylor]: Taking taylor expansion of k in k 3.937 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.937 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.937 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.937 * [taylor]: Taking taylor expansion of 2.0 in k 3.937 * [taylor]: Taking taylor expansion of PI in k 3.938 * [taylor]: Taking taylor expansion of (log n) in k 3.938 * [taylor]: Taking taylor expansion of n in k 3.947 * [taylor]: Taking taylor expansion of 0 in k 3.965 * [taylor]: Taking taylor expansion of 0 in k 3.984 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.984 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.984 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.984 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.984 * [taylor]: Taking taylor expansion of 0.5 in k 3.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.984 * [taylor]: Taking taylor expansion of 1.0 in k 3.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.984 * [taylor]: Taking taylor expansion of k in k 3.984 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.984 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.984 * [taylor]: Taking taylor expansion of 2.0 in k 3.984 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.985 * [taylor]: Taking taylor expansion of PI in k 3.985 * [taylor]: Taking taylor expansion of n in k 3.986 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.986 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.986 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.986 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.986 * [taylor]: Taking taylor expansion of 0.5 in n 3.986 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.986 * [taylor]: Taking taylor expansion of 1.0 in n 3.986 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.986 * [taylor]: Taking taylor expansion of k in n 3.986 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.986 * [taylor]: Taking taylor expansion of 2.0 in n 3.986 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.986 * [taylor]: Taking taylor expansion of PI in n 3.986 * [taylor]: Taking taylor expansion of n in n 3.990 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.990 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.990 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.990 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.990 * [taylor]: Taking taylor expansion of 0.5 in n 3.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.990 * [taylor]: Taking taylor expansion of 1.0 in n 3.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.990 * [taylor]: Taking taylor expansion of k in n 3.990 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.990 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.990 * [taylor]: Taking taylor expansion of 2.0 in n 3.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.990 * [taylor]: Taking taylor expansion of PI in n 3.990 * [taylor]: Taking taylor expansion of n in n 3.993 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.994 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.994 * [taylor]: Taking taylor expansion of 0.5 in k 3.994 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.994 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.994 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.994 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.994 * [taylor]: Taking taylor expansion of 2.0 in k 3.994 * [taylor]: Taking taylor expansion of PI in k 3.995 * [taylor]: Taking taylor expansion of (log n) in k 3.995 * [taylor]: Taking taylor expansion of n in k 3.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.995 * [taylor]: Taking taylor expansion of 1.0 in k 3.995 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.995 * [taylor]: Taking taylor expansion of k in k 4.004 * [taylor]: Taking taylor expansion of 0 in k 4.011 * [taylor]: Taking taylor expansion of 0 in k 4.020 * [taylor]: Taking taylor expansion of 0 in k 4.021 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.021 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.021 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.021 * [taylor]: Taking taylor expansion of 0.5 in k 4.021 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.021 * [taylor]: Taking taylor expansion of k in k 4.022 * [taylor]: Taking taylor expansion of 1.0 in k 4.022 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.022 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.022 * [taylor]: Taking taylor expansion of -2.0 in k 4.022 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.022 * [taylor]: Taking taylor expansion of PI in k 4.022 * [taylor]: Taking taylor expansion of n in k 4.022 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.022 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.023 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.023 * [taylor]: Taking taylor expansion of 0.5 in n 4.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.023 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.023 * [taylor]: Taking taylor expansion of k in n 4.023 * [taylor]: Taking taylor expansion of 1.0 in n 4.023 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.023 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.023 * [taylor]: Taking taylor expansion of -2.0 in n 4.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.023 * [taylor]: Taking taylor expansion of PI in n 4.023 * [taylor]: Taking taylor expansion of n in n 4.026 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.026 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.026 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.026 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.026 * [taylor]: Taking taylor expansion of 0.5 in n 4.026 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.026 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.026 * [taylor]: Taking taylor expansion of k in n 4.026 * [taylor]: Taking taylor expansion of 1.0 in n 4.027 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.027 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.027 * [taylor]: Taking taylor expansion of -2.0 in n 4.027 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.027 * [taylor]: Taking taylor expansion of PI in n 4.027 * [taylor]: Taking taylor expansion of n in n 4.030 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.030 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.030 * [taylor]: Taking taylor expansion of 0.5 in k 4.030 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.030 * [taylor]: Taking taylor expansion of k in k 4.031 * [taylor]: Taking taylor expansion of 1.0 in k 4.031 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.031 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.031 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.031 * [taylor]: Taking taylor expansion of -2.0 in k 4.031 * [taylor]: Taking taylor expansion of PI in k 4.032 * [taylor]: Taking taylor expansion of (log n) in k 4.032 * [taylor]: Taking taylor expansion of n in k 4.044 * [taylor]: Taking taylor expansion of 0 in k 4.050 * [taylor]: Taking taylor expansion of 0 in k 4.059 * [taylor]: Taking taylor expansion of 0 in k 4.060 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.061 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.061 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.061 * [taylor]: Taking taylor expansion of 2.0 in n 4.061 * [taylor]: Taking taylor expansion of (* n PI) in n 4.061 * [taylor]: Taking taylor expansion of n in n 4.061 * [taylor]: Taking taylor expansion of PI in n 4.061 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.061 * [taylor]: Taking taylor expansion of 2.0 in n 4.061 * [taylor]: Taking taylor expansion of (* n PI) in n 4.061 * [taylor]: Taking taylor expansion of n in n 4.061 * [taylor]: Taking taylor expansion of PI in n 4.073 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.073 * [taylor]: Taking taylor expansion of 2.0 in n 4.073 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.073 * [taylor]: Taking taylor expansion of PI in n 4.073 * [taylor]: Taking taylor expansion of n in n 4.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.073 * [taylor]: Taking taylor expansion of 2.0 in n 4.073 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.073 * [taylor]: Taking taylor expansion of PI in n 4.073 * [taylor]: Taking taylor expansion of n in n 4.082 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.082 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.082 * [taylor]: Taking taylor expansion of -2.0 in n 4.082 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.082 * [taylor]: Taking taylor expansion of PI in n 4.082 * [taylor]: Taking taylor expansion of n in n 4.083 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.083 * [taylor]: Taking taylor expansion of -2.0 in n 4.083 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.083 * [taylor]: Taking taylor expansion of PI in n 4.083 * [taylor]: Taking taylor expansion of n in n 4.091 * * * [progress]: simplifying candidates 4.093 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 4.100 * * [simplify]: iteration 0 : 234 enodes (cost 1642 ) 4.142 * * [simplify]: iteration 1 : 573 enodes (cost 1523 ) 4.253 * * [simplify]: iteration 2 : 1924 enodes (cost 1409 ) 4.695 * * [simplify]: iteration done : 5000 enodes (cost 1399 ) 4.696 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (- (+ (+ (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 4.697 * * * [progress]: adding candidates to table 5.127 * * [progress]: iteration 3 / 4 5.127 * * * [progress]: picking best candidate 5.167 * * * * [pick]: Picked # 5.167 * * * [progress]: localizing error 5.182 * * * [progress]: generating rewritten candidates 5.182 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.199 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.212 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.249 * * * [progress]: generating series expansions 5.249 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.249 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.250 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.250 * [taylor]: Taking taylor expansion of 1.0 in k 5.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.250 * [taylor]: Taking taylor expansion of k in k 5.251 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.251 * [taylor]: Taking taylor expansion of 1.0 in k 5.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.251 * [taylor]: Taking taylor expansion of k in k 5.263 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.263 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.263 * [taylor]: Taking taylor expansion of 1.0 in k 5.263 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.263 * [taylor]: Taking taylor expansion of k in k 5.264 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.264 * [taylor]: Taking taylor expansion of 1.0 in k 5.264 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.264 * [taylor]: Taking taylor expansion of k in k 5.274 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.274 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.274 * [taylor]: Taking taylor expansion of 1.0 in k 5.274 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.274 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.274 * [taylor]: Taking taylor expansion of -1 in k 5.274 * [taylor]: Taking taylor expansion of k in k 5.276 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.276 * [taylor]: Taking taylor expansion of 1.0 in k 5.276 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.276 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.276 * [taylor]: Taking taylor expansion of -1 in k 5.276 * [taylor]: Taking taylor expansion of k in k 5.287 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.287 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 5.287 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.287 * [taylor]: Taking taylor expansion of 1.0 in k 5.287 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.287 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.287 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.287 * [taylor]: Taking taylor expansion of 1/4 in k 5.287 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.288 * [taylor]: Taking taylor expansion of k in k 5.288 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.288 * [taylor]: Taking taylor expansion of 1.0 in k 5.288 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.288 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.288 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.288 * [taylor]: Taking taylor expansion of 1/4 in k 5.288 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.288 * [taylor]: Taking taylor expansion of k in k 5.351 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 5.351 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.351 * [taylor]: Taking taylor expansion of 1.0 in k 5.351 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.351 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.351 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.351 * [taylor]: Taking taylor expansion of 1/4 in k 5.351 * [taylor]: Taking taylor expansion of (log k) in k 5.351 * [taylor]: Taking taylor expansion of k in k 5.352 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.352 * [taylor]: Taking taylor expansion of 1.0 in k 5.352 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.352 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.352 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.352 * [taylor]: Taking taylor expansion of 1/4 in k 5.352 * [taylor]: Taking taylor expansion of (log k) in k 5.352 * [taylor]: Taking taylor expansion of k in k 5.410 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 5.410 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.410 * [taylor]: Taking taylor expansion of 1.0 in k 5.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.410 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.410 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.410 * [taylor]: Taking taylor expansion of -1 in k 5.410 * [taylor]: Taking taylor expansion of k in k 5.416 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.416 * [taylor]: Taking taylor expansion of 1.0 in k 5.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.417 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.417 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.417 * [taylor]: Taking taylor expansion of -1 in k 5.417 * [taylor]: Taking taylor expansion of k in k 5.453 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.453 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.453 * [taylor]: Taking taylor expansion of 0.5 in k 5.453 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.453 * [taylor]: Taking taylor expansion of 1.0 in k 5.454 * [taylor]: Taking taylor expansion of k in k 5.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.454 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.454 * [taylor]: Taking taylor expansion of 2.0 in k 5.454 * [taylor]: Taking taylor expansion of (* n PI) in k 5.454 * [taylor]: Taking taylor expansion of n in k 5.454 * [taylor]: Taking taylor expansion of PI in k 5.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.455 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.455 * [taylor]: Taking taylor expansion of 0.5 in n 5.455 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.455 * [taylor]: Taking taylor expansion of 1.0 in n 5.455 * [taylor]: Taking taylor expansion of k in n 5.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.455 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.455 * [taylor]: Taking taylor expansion of 2.0 in n 5.455 * [taylor]: Taking taylor expansion of (* n PI) in n 5.455 * [taylor]: Taking taylor expansion of n in n 5.455 * [taylor]: Taking taylor expansion of PI in n 5.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.460 * [taylor]: Taking taylor expansion of 0.5 in n 5.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.460 * [taylor]: Taking taylor expansion of 1.0 in n 5.460 * [taylor]: Taking taylor expansion of k in n 5.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.461 * [taylor]: Taking taylor expansion of 2.0 in n 5.461 * [taylor]: Taking taylor expansion of (* n PI) in n 5.461 * [taylor]: Taking taylor expansion of n in n 5.461 * [taylor]: Taking taylor expansion of PI in n 5.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.471 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.471 * [taylor]: Taking taylor expansion of 0.5 in k 5.471 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.471 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.471 * [taylor]: Taking taylor expansion of 1.0 in k 5.471 * [taylor]: Taking taylor expansion of k in k 5.471 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.471 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.471 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.471 * [taylor]: Taking taylor expansion of 2.0 in k 5.471 * [taylor]: Taking taylor expansion of PI in k 5.472 * [taylor]: Taking taylor expansion of (log n) in k 5.472 * [taylor]: Taking taylor expansion of n in k 5.481 * [taylor]: Taking taylor expansion of 0 in k 5.497 * [taylor]: Taking taylor expansion of 0 in k 5.515 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.515 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.515 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.516 * [taylor]: Taking taylor expansion of 0.5 in k 5.516 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.516 * [taylor]: Taking taylor expansion of 1.0 in k 5.516 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.516 * [taylor]: Taking taylor expansion of k in k 5.516 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.516 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.516 * [taylor]: Taking taylor expansion of 2.0 in k 5.516 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.516 * [taylor]: Taking taylor expansion of PI in k 5.516 * [taylor]: Taking taylor expansion of n in k 5.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.517 * [taylor]: Taking taylor expansion of 0.5 in n 5.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.517 * [taylor]: Taking taylor expansion of 1.0 in n 5.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.517 * [taylor]: Taking taylor expansion of k in n 5.517 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.517 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.517 * [taylor]: Taking taylor expansion of 2.0 in n 5.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.517 * [taylor]: Taking taylor expansion of PI in n 5.517 * [taylor]: Taking taylor expansion of n in n 5.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.521 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.521 * [taylor]: Taking taylor expansion of 0.5 in n 5.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.521 * [taylor]: Taking taylor expansion of 1.0 in n 5.521 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.521 * [taylor]: Taking taylor expansion of k in n 5.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.521 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.521 * [taylor]: Taking taylor expansion of 2.0 in n 5.521 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.521 * [taylor]: Taking taylor expansion of PI in n 5.521 * [taylor]: Taking taylor expansion of n in n 5.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.525 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.525 * [taylor]: Taking taylor expansion of 0.5 in k 5.525 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.525 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.525 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.525 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.525 * [taylor]: Taking taylor expansion of 2.0 in k 5.525 * [taylor]: Taking taylor expansion of PI in k 5.526 * [taylor]: Taking taylor expansion of (log n) in k 5.526 * [taylor]: Taking taylor expansion of n in k 5.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.526 * [taylor]: Taking taylor expansion of 1.0 in k 5.526 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.526 * [taylor]: Taking taylor expansion of k in k 5.535 * [taylor]: Taking taylor expansion of 0 in k 5.542 * [taylor]: Taking taylor expansion of 0 in k 5.556 * [taylor]: Taking taylor expansion of 0 in k 5.558 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.558 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.558 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.558 * [taylor]: Taking taylor expansion of 0.5 in k 5.558 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.558 * [taylor]: Taking taylor expansion of k in k 5.558 * [taylor]: Taking taylor expansion of 1.0 in k 5.558 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.558 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.558 * [taylor]: Taking taylor expansion of -2.0 in k 5.558 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.558 * [taylor]: Taking taylor expansion of PI in k 5.558 * [taylor]: Taking taylor expansion of n in k 5.559 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.559 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.559 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.559 * [taylor]: Taking taylor expansion of 0.5 in n 5.559 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.559 * [taylor]: Taking taylor expansion of k in n 5.559 * [taylor]: Taking taylor expansion of 1.0 in n 5.559 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.559 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.559 * [taylor]: Taking taylor expansion of -2.0 in n 5.559 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.559 * [taylor]: Taking taylor expansion of PI in n 5.559 * [taylor]: Taking taylor expansion of n in n 5.563 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.563 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.563 * [taylor]: Taking taylor expansion of 0.5 in n 5.563 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.563 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.563 * [taylor]: Taking taylor expansion of k in n 5.563 * [taylor]: Taking taylor expansion of 1.0 in n 5.563 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.563 * [taylor]: Taking taylor expansion of -2.0 in n 5.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.563 * [taylor]: Taking taylor expansion of PI in n 5.563 * [taylor]: Taking taylor expansion of n in n 5.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.567 * [taylor]: Taking taylor expansion of 0.5 in k 5.567 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.567 * [taylor]: Taking taylor expansion of k in k 5.567 * [taylor]: Taking taylor expansion of 1.0 in k 5.567 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.567 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.567 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.567 * [taylor]: Taking taylor expansion of -2.0 in k 5.567 * [taylor]: Taking taylor expansion of PI in k 5.568 * [taylor]: Taking taylor expansion of (log n) in k 5.568 * [taylor]: Taking taylor expansion of n in k 5.577 * [taylor]: Taking taylor expansion of 0 in k 5.584 * [taylor]: Taking taylor expansion of 0 in k 5.593 * [taylor]: Taking taylor expansion of 0 in k 5.594 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.594 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.594 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.594 * [taylor]: Taking taylor expansion of 2.0 in n 5.594 * [taylor]: Taking taylor expansion of (* n PI) in n 5.595 * [taylor]: Taking taylor expansion of n in n 5.595 * [taylor]: Taking taylor expansion of PI in n 5.595 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.595 * [taylor]: Taking taylor expansion of 2.0 in n 5.595 * [taylor]: Taking taylor expansion of (* n PI) in n 5.595 * [taylor]: Taking taylor expansion of n in n 5.595 * [taylor]: Taking taylor expansion of PI in n 5.606 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.607 * [taylor]: Taking taylor expansion of 2.0 in n 5.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.607 * [taylor]: Taking taylor expansion of PI in n 5.607 * [taylor]: Taking taylor expansion of n in n 5.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.607 * [taylor]: Taking taylor expansion of 2.0 in n 5.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.607 * [taylor]: Taking taylor expansion of PI in n 5.607 * [taylor]: Taking taylor expansion of n in n 5.616 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.616 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.616 * [taylor]: Taking taylor expansion of -2.0 in n 5.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.616 * [taylor]: Taking taylor expansion of PI in n 5.616 * [taylor]: Taking taylor expansion of n in n 5.616 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.616 * [taylor]: Taking taylor expansion of -2.0 in n 5.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.616 * [taylor]: Taking taylor expansion of PI in n 5.616 * [taylor]: Taking taylor expansion of n in n 5.625 * * * [progress]: simplifying candidates 5.639 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt 1)) 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 1) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 1) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 1) 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt 1))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) 1) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (- (log 1.0) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.669 * * [simplify]: iteration 0 : 558 enodes (cost 8953 ) 5.768 * * [simplify]: iteration 1 : 1346 enodes (cost 7944 ) 6.038 * * [simplify]: iteration 2 : 4263 enodes (cost 7227 ) 6.883 * * [simplify]: iteration done : 5000 enodes (cost 7227 ) 6.887 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt 1) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (sqrt 1) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (sqrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (+ (sqrt k) (sqrt 1.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* (* PI n) 2.0) 3) (pow (* (* PI n) 2.0) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* PI n) 2.0) 3) (sqrt (* (* PI n) 2.0)) (sqrt (* (* PI n) 2.0)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (- (/ +nan.0 (pow k 2)))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (- (/ +nan.0 (* (sqrt +nan.0) (pow k 2))) (/ +nan.0 (* (sqrt +nan.0) k))) (/ (/ +nan.0 (pow k 2)) (pow (sqrt +nan.0) 3)))) (- (+ (+ (* (* (* (pow (* (* PI n) 2.0) 0.5) (log n)) (* (pow k 2) (log (* 2.0 PI)))) 0.25) (pow (* (* PI n) 2.0) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* PI n) 2.0) 0.5)) (* (pow (log n) 2) (pow (* (* PI n) 2.0) 0.5))))) (* (* 0.5 k) (+ (* (pow (* (* PI n) 2.0) 0.5) (log n)) (* (pow (* (* PI n) 2.0) 0.5) (log (* 2.0 PI)))))) (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) 6.891 * * * [progress]: adding candidates to table 7.735 * * [progress]: iteration 4 / 4 7.735 * * * [progress]: picking best candidate 7.775 * * * * [pick]: Picked # 7.775 * * * [progress]: localizing error 7.790 * * * [progress]: generating rewritten candidates 7.790 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.793 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 7.796 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.853 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 7.868 * * * [progress]: generating series expansions 7.868 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.868 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.868 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.868 * [taylor]: Taking taylor expansion of 1.0 in k 7.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.868 * [taylor]: Taking taylor expansion of k in k 7.869 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.870 * [taylor]: Taking taylor expansion of 1.0 in k 7.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.870 * [taylor]: Taking taylor expansion of k in k 7.881 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.881 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.881 * [taylor]: Taking taylor expansion of 1.0 in k 7.881 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.881 * [taylor]: Taking taylor expansion of k in k 7.882 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.882 * [taylor]: Taking taylor expansion of 1.0 in k 7.882 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.882 * [taylor]: Taking taylor expansion of k in k 7.892 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.893 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.893 * [taylor]: Taking taylor expansion of 1.0 in k 7.893 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.893 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.893 * [taylor]: Taking taylor expansion of -1 in k 7.893 * [taylor]: Taking taylor expansion of k in k 7.894 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.894 * [taylor]: Taking taylor expansion of 1.0 in k 7.894 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.894 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.894 * [taylor]: Taking taylor expansion of -1 in k 7.894 * [taylor]: Taking taylor expansion of k in k 7.911 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 7.911 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.911 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.911 * [taylor]: Taking taylor expansion of 1.0 in k 7.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.911 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.911 * [taylor]: Taking taylor expansion of k in k 7.912 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.912 * [taylor]: Taking taylor expansion of 1.0 in k 7.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.912 * [taylor]: Taking taylor expansion of k in k 7.923 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.923 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.923 * [taylor]: Taking taylor expansion of 1.0 in k 7.924 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.924 * [taylor]: Taking taylor expansion of k in k 7.925 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.925 * [taylor]: Taking taylor expansion of 1.0 in k 7.925 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.925 * [taylor]: Taking taylor expansion of k in k 7.935 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.935 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.935 * [taylor]: Taking taylor expansion of 1.0 in k 7.935 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.935 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.935 * [taylor]: Taking taylor expansion of -1 in k 7.935 * [taylor]: Taking taylor expansion of k in k 7.937 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.937 * [taylor]: Taking taylor expansion of 1.0 in k 7.937 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.937 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.937 * [taylor]: Taking taylor expansion of -1 in k 7.937 * [taylor]: Taking taylor expansion of k in k 7.949 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.950 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in (k n) around 0 7.950 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in n 7.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.950 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.950 * [taylor]: Taking taylor expansion of k in n 7.950 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in n 7.950 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.950 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.950 * [taylor]: Taking taylor expansion of 0.5 in n 7.950 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.950 * [taylor]: Taking taylor expansion of 1.0 in n 7.950 * [taylor]: Taking taylor expansion of k in n 7.950 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.950 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.950 * [taylor]: Taking taylor expansion of 2.0 in n 7.950 * [taylor]: Taking taylor expansion of (* n PI) in n 7.950 * [taylor]: Taking taylor expansion of n in n 7.950 * [taylor]: Taking taylor expansion of PI in n 7.955 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 7.956 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.956 * [taylor]: Taking taylor expansion of 1.0 in n 7.956 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 7.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.956 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.956 * [taylor]: Taking taylor expansion of k in k 7.957 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 7.958 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.958 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.958 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.958 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.958 * [taylor]: Taking taylor expansion of 0.5 in k 7.958 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.958 * [taylor]: Taking taylor expansion of 1.0 in k 7.958 * [taylor]: Taking taylor expansion of k in k 7.958 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.958 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.958 * [taylor]: Taking taylor expansion of 2.0 in k 7.958 * [taylor]: Taking taylor expansion of (* n PI) in k 7.958 * [taylor]: Taking taylor expansion of n in k 7.958 * [taylor]: Taking taylor expansion of PI in k 7.959 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 7.959 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.959 * [taylor]: Taking taylor expansion of 1.0 in k 7.959 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 7.959 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.959 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.959 * [taylor]: Taking taylor expansion of k in k 7.961 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 7.961 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.961 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.961 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.961 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.961 * [taylor]: Taking taylor expansion of 0.5 in k 7.961 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.961 * [taylor]: Taking taylor expansion of 1.0 in k 7.961 * [taylor]: Taking taylor expansion of k in k 7.961 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.961 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.961 * [taylor]: Taking taylor expansion of 2.0 in k 7.961 * [taylor]: Taking taylor expansion of (* n PI) in k 7.961 * [taylor]: Taking taylor expansion of n in k 7.961 * [taylor]: Taking taylor expansion of PI in k 7.962 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 7.962 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 7.962 * [taylor]: Taking taylor expansion of 1.0 in k 7.965 * [taylor]: Taking taylor expansion of 0 in n 7.974 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 7.974 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 7.974 * [taylor]: Taking taylor expansion of +nan.0 in n 7.974 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 7.974 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 7.974 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.974 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.974 * [taylor]: Taking taylor expansion of 0.5 in n 7.974 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.974 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.974 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.974 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.974 * [taylor]: Taking taylor expansion of 1.0 in n 7.974 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.974 * [taylor]: Taking taylor expansion of 2.0 in n 7.976 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 7.976 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.976 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.976 * [taylor]: Taking taylor expansion of 1.0 in n 7.976 * [taylor]: Taking taylor expansion of (log n) in n 7.976 * [taylor]: Taking taylor expansion of n in n 7.976 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.976 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.976 * [taylor]: Taking taylor expansion of 1.0 in n 7.976 * [taylor]: Taking taylor expansion of (log PI) in n 7.976 * [taylor]: Taking taylor expansion of PI in n 7.982 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 7.982 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 7.982 * [taylor]: Taking taylor expansion of 1.0 in n 8.009 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))) in n 8.009 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))) in n 8.009 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.009 * [taylor]: Taking taylor expansion of +nan.0 in n 8.010 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.010 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) in n 8.010 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.010 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.010 * [taylor]: Taking taylor expansion of 2.0 in n 8.010 * [taylor]: Taking taylor expansion of (* n PI) in n 8.010 * [taylor]: Taking taylor expansion of n in n 8.010 * [taylor]: Taking taylor expansion of PI in n 8.013 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.013 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.013 * [taylor]: Taking taylor expansion of 1.0 in n 8.013 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.013 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.013 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.013 * [taylor]: Taking taylor expansion of 0.5 in n 8.013 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.014 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.014 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.014 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.014 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.014 * [taylor]: Taking taylor expansion of 1.0 in n 8.014 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.014 * [taylor]: Taking taylor expansion of 2.0 in n 8.015 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.015 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.015 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.015 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.015 * [taylor]: Taking taylor expansion of 1.0 in n 8.015 * [taylor]: Taking taylor expansion of (log n) in n 8.015 * [taylor]: Taking taylor expansion of n in n 8.016 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.016 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.016 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.016 * [taylor]: Taking taylor expansion of 1.0 in n 8.016 * [taylor]: Taking taylor expansion of (log PI) in n 8.016 * [taylor]: Taking taylor expansion of PI in n 8.021 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 8.022 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 8.022 * [taylor]: Taking taylor expansion of +nan.0 in n 8.022 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 8.022 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.022 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.022 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.022 * [taylor]: Taking taylor expansion of 0.5 in n 8.022 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.022 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.022 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.022 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.022 * [taylor]: Taking taylor expansion of 1.0 in n 8.022 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.022 * [taylor]: Taking taylor expansion of 2.0 in n 8.024 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.024 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.024 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.024 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.024 * [taylor]: Taking taylor expansion of 1.0 in n 8.024 * [taylor]: Taking taylor expansion of (log n) in n 8.024 * [taylor]: Taking taylor expansion of n in n 8.024 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.024 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.024 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.024 * [taylor]: Taking taylor expansion of 1.0 in n 8.024 * [taylor]: Taking taylor expansion of (log PI) in n 8.024 * [taylor]: Taking taylor expansion of PI in n 8.030 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.030 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.030 * [taylor]: Taking taylor expansion of 1.0 in n 8.100 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))))) in n 8.100 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))))) in n 8.100 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.100 * [taylor]: Taking taylor expansion of +nan.0 in n 8.100 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.100 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (sqrt 1.0) 2)) in n 8.100 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.100 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.100 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.100 * [taylor]: Taking taylor expansion of 2.0 in n 8.100 * [taylor]: Taking taylor expansion of (* n PI) in n 8.100 * [taylor]: Taking taylor expansion of n in n 8.100 * [taylor]: Taking taylor expansion of PI in n 8.104 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.104 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.104 * [taylor]: Taking taylor expansion of 1.0 in n 8.105 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.105 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.105 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.105 * [taylor]: Taking taylor expansion of 0.5 in n 8.105 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.105 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.105 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.105 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.105 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.105 * [taylor]: Taking taylor expansion of 1.0 in n 8.105 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.105 * [taylor]: Taking taylor expansion of 2.0 in n 8.107 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.107 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.107 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.107 * [taylor]: Taking taylor expansion of 1.0 in n 8.107 * [taylor]: Taking taylor expansion of (log n) in n 8.107 * [taylor]: Taking taylor expansion of n in n 8.107 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.107 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.107 * [taylor]: Taking taylor expansion of 1.0 in n 8.107 * [taylor]: Taking taylor expansion of (log PI) in n 8.107 * [taylor]: Taking taylor expansion of PI in n 8.113 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))) in n 8.113 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))))) in n 8.113 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 8.113 * [taylor]: Taking taylor expansion of +nan.0 in n 8.113 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 8.113 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (sqrt 1.0) 2)) in n 8.113 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.113 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.113 * [taylor]: Taking taylor expansion of 2.0 in n 8.113 * [taylor]: Taking taylor expansion of (* n PI) in n 8.113 * [taylor]: Taking taylor expansion of n in n 8.113 * [taylor]: Taking taylor expansion of PI in n 8.116 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.116 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.116 * [taylor]: Taking taylor expansion of 1.0 in n 8.117 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.117 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.117 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.117 * [taylor]: Taking taylor expansion of 0.5 in n 8.117 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.117 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.117 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.117 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.117 * [taylor]: Taking taylor expansion of 1.0 in n 8.117 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.117 * [taylor]: Taking taylor expansion of 2.0 in n 8.119 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.119 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.119 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.119 * [taylor]: Taking taylor expansion of 1.0 in n 8.119 * [taylor]: Taking taylor expansion of (log n) in n 8.119 * [taylor]: Taking taylor expansion of n in n 8.119 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.119 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.119 * [taylor]: Taking taylor expansion of 1.0 in n 8.119 * [taylor]: Taking taylor expansion of (log PI) in n 8.119 * [taylor]: Taking taylor expansion of PI in n 8.125 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))) in n 8.125 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2))) in n 8.125 * [taylor]: Taking taylor expansion of +nan.0 in n 8.125 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)) in n 8.125 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.125 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.125 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.125 * [taylor]: Taking taylor expansion of 0.5 in n 8.125 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.125 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.125 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.125 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.125 * [taylor]: Taking taylor expansion of 1.0 in n 8.125 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.125 * [taylor]: Taking taylor expansion of 2.0 in n 8.127 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.127 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.127 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.127 * [taylor]: Taking taylor expansion of 1.0 in n 8.127 * [taylor]: Taking taylor expansion of (log n) in n 8.127 * [taylor]: Taking taylor expansion of n in n 8.127 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.127 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.127 * [taylor]: Taking taylor expansion of 1.0 in n 8.127 * [taylor]: Taking taylor expansion of (log PI) in n 8.127 * [taylor]: Taking taylor expansion of PI in n 8.133 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.133 * [taylor]: Taking taylor expansion of 1.0 in n 8.234 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 8.234 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 8.234 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.234 * [taylor]: Taking taylor expansion of k in n 8.234 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.234 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.234 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.234 * [taylor]: Taking taylor expansion of 1.0 in n 8.235 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.235 * [taylor]: Taking taylor expansion of 0.5 in n 8.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.235 * [taylor]: Taking taylor expansion of 1.0 in n 8.235 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.235 * [taylor]: Taking taylor expansion of k in n 8.235 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.235 * [taylor]: Taking taylor expansion of 2.0 in n 8.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.235 * [taylor]: Taking taylor expansion of PI in n 8.235 * [taylor]: Taking taylor expansion of n in n 8.239 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.239 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.239 * [taylor]: Taking taylor expansion of k in k 8.240 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.240 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.240 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.240 * [taylor]: Taking taylor expansion of 1.0 in k 8.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.241 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.241 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.241 * [taylor]: Taking taylor expansion of 0.5 in k 8.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.241 * [taylor]: Taking taylor expansion of 1.0 in k 8.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.241 * [taylor]: Taking taylor expansion of k in k 8.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.241 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.241 * [taylor]: Taking taylor expansion of 2.0 in k 8.241 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.241 * [taylor]: Taking taylor expansion of PI in k 8.241 * [taylor]: Taking taylor expansion of n in k 8.242 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.242 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.242 * [taylor]: Taking taylor expansion of k in k 8.244 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.244 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.244 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.244 * [taylor]: Taking taylor expansion of 1.0 in k 8.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.244 * [taylor]: Taking taylor expansion of 0.5 in k 8.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.244 * [taylor]: Taking taylor expansion of 1.0 in k 8.244 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.244 * [taylor]: Taking taylor expansion of k in k 8.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.245 * [taylor]: Taking taylor expansion of 2.0 in k 8.245 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.245 * [taylor]: Taking taylor expansion of PI in k 8.245 * [taylor]: Taking taylor expansion of n in k 8.248 * [taylor]: Taking taylor expansion of 0 in n 8.250 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.250 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.250 * [taylor]: Taking taylor expansion of +nan.0 in n 8.250 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.250 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.250 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.250 * [taylor]: Taking taylor expansion of 1.0 in n 8.251 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.251 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.251 * [taylor]: Taking taylor expansion of 0.5 in n 8.251 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.251 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.251 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.251 * [taylor]: Taking taylor expansion of 2.0 in n 8.251 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.251 * [taylor]: Taking taylor expansion of PI in n 8.251 * [taylor]: Taking taylor expansion of n in n 8.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.253 * [taylor]: Taking taylor expansion of 1.0 in n 8.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.253 * [taylor]: Taking taylor expansion of k in n 8.272 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.272 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.272 * [taylor]: Taking taylor expansion of +nan.0 in n 8.272 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.272 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.272 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.272 * [taylor]: Taking taylor expansion of 1.0 in n 8.272 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.273 * [taylor]: Taking taylor expansion of 0.5 in n 8.273 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.273 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.273 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.273 * [taylor]: Taking taylor expansion of 2.0 in n 8.273 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.273 * [taylor]: Taking taylor expansion of PI in n 8.273 * [taylor]: Taking taylor expansion of n in n 8.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.274 * [taylor]: Taking taylor expansion of 1.0 in n 8.274 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.274 * [taylor]: Taking taylor expansion of k in n 8.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 8.299 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.299 * [taylor]: Taking taylor expansion of +nan.0 in n 8.299 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.299 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.299 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.299 * [taylor]: Taking taylor expansion of 1.0 in n 8.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.300 * [taylor]: Taking taylor expansion of 0.5 in n 8.300 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.300 * [taylor]: Taking taylor expansion of 2.0 in n 8.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.300 * [taylor]: Taking taylor expansion of PI in n 8.300 * [taylor]: Taking taylor expansion of n in n 8.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.302 * [taylor]: Taking taylor expansion of 1.0 in n 8.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.302 * [taylor]: Taking taylor expansion of k in n 8.317 * [approximate]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in (k n) around 0 8.317 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in n 8.317 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in n 8.317 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.317 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.317 * [taylor]: Taking taylor expansion of 0.5 in n 8.317 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.318 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.318 * [taylor]: Taking taylor expansion of k in n 8.318 * [taylor]: Taking taylor expansion of 1.0 in n 8.318 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.318 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.318 * [taylor]: Taking taylor expansion of -2.0 in n 8.318 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.318 * [taylor]: Taking taylor expansion of PI in n 8.318 * [taylor]: Taking taylor expansion of n in n 8.321 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.321 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.321 * [taylor]: Taking taylor expansion of 1.0 in n 8.322 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.322 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.322 * [taylor]: Taking taylor expansion of -1 in n 8.322 * [taylor]: Taking taylor expansion of k in n 8.326 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 8.326 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 8.326 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.326 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.326 * [taylor]: Taking taylor expansion of 0.5 in k 8.326 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.326 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.326 * [taylor]: Taking taylor expansion of k in k 8.326 * [taylor]: Taking taylor expansion of 1.0 in k 8.326 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.326 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.326 * [taylor]: Taking taylor expansion of -2.0 in k 8.327 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.327 * [taylor]: Taking taylor expansion of PI in k 8.327 * [taylor]: Taking taylor expansion of n in k 8.327 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.327 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.327 * [taylor]: Taking taylor expansion of 1.0 in k 8.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.328 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.328 * [taylor]: Taking taylor expansion of -1 in k 8.328 * [taylor]: Taking taylor expansion of k in k 8.332 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 8.332 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 8.332 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.332 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.332 * [taylor]: Taking taylor expansion of 0.5 in k 8.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.332 * [taylor]: Taking taylor expansion of k in k 8.332 * [taylor]: Taking taylor expansion of 1.0 in k 8.332 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.332 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.332 * [taylor]: Taking taylor expansion of -2.0 in k 8.332 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.332 * [taylor]: Taking taylor expansion of PI in k 8.332 * [taylor]: Taking taylor expansion of n in k 8.333 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 8.333 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 8.333 * [taylor]: Taking taylor expansion of 1.0 in k 8.334 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.334 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.334 * [taylor]: Taking taylor expansion of -1 in k 8.334 * [taylor]: Taking taylor expansion of k in k 8.337 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.337 * [taylor]: Taking taylor expansion of +nan.0 in n 8.337 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.337 * [taylor]: Taking taylor expansion of 0.5 in n 8.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.337 * [taylor]: Taking taylor expansion of k in n 8.338 * [taylor]: Taking taylor expansion of 1.0 in n 8.338 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.338 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.338 * [taylor]: Taking taylor expansion of -2.0 in n 8.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.338 * [taylor]: Taking taylor expansion of PI in n 8.338 * [taylor]: Taking taylor expansion of n in n 8.342 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.342 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.342 * [taylor]: Taking taylor expansion of 1.0 in n 8.358 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)))) in n 8.358 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.358 * [taylor]: Taking taylor expansion of +nan.0 in n 8.358 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.358 * [taylor]: Taking taylor expansion of 0.5 in n 8.358 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.358 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.358 * [taylor]: Taking taylor expansion of k in n 8.358 * [taylor]: Taking taylor expansion of 1.0 in n 8.358 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.358 * [taylor]: Taking taylor expansion of -2.0 in n 8.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.358 * [taylor]: Taking taylor expansion of PI in n 8.358 * [taylor]: Taking taylor expansion of n in n 8.362 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.363 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.363 * [taylor]: Taking taylor expansion of 1.0 in n 8.386 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)))) in n 8.386 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2))) in n 8.386 * [taylor]: Taking taylor expansion of +nan.0 in n 8.386 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 8.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.386 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.386 * [taylor]: Taking taylor expansion of 0.5 in n 8.386 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.386 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.386 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.386 * [taylor]: Taking taylor expansion of k in n 8.386 * [taylor]: Taking taylor expansion of 1.0 in n 8.386 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.386 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.386 * [taylor]: Taking taylor expansion of -2.0 in n 8.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.386 * [taylor]: Taking taylor expansion of PI in n 8.386 * [taylor]: Taking taylor expansion of n in n 8.390 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 8.390 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 8.391 * [taylor]: Taking taylor expansion of 1.0 in n 8.402 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 8.403 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.403 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.403 * [taylor]: Taking taylor expansion of 0.5 in k 8.403 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.403 * [taylor]: Taking taylor expansion of 1.0 in k 8.403 * [taylor]: Taking taylor expansion of k in k 8.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.403 * [taylor]: Taking taylor expansion of 2.0 in k 8.403 * [taylor]: Taking taylor expansion of (* n PI) in k 8.403 * [taylor]: Taking taylor expansion of n in k 8.403 * [taylor]: Taking taylor expansion of PI in k 8.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.404 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.404 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.404 * [taylor]: Taking taylor expansion of 0.5 in n 8.404 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.404 * [taylor]: Taking taylor expansion of 1.0 in n 8.404 * [taylor]: Taking taylor expansion of k in n 8.404 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.404 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.404 * [taylor]: Taking taylor expansion of 2.0 in n 8.404 * [taylor]: Taking taylor expansion of (* n PI) in n 8.404 * [taylor]: Taking taylor expansion of n in n 8.404 * [taylor]: Taking taylor expansion of PI in n 8.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.410 * [taylor]: Taking taylor expansion of 0.5 in n 8.410 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.410 * [taylor]: Taking taylor expansion of 1.0 in n 8.410 * [taylor]: Taking taylor expansion of k in n 8.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.410 * [taylor]: Taking taylor expansion of 2.0 in n 8.410 * [taylor]: Taking taylor expansion of (* n PI) in n 8.410 * [taylor]: Taking taylor expansion of n in n 8.410 * [taylor]: Taking taylor expansion of PI in n 8.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.415 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.415 * [taylor]: Taking taylor expansion of 0.5 in k 8.415 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.415 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.415 * [taylor]: Taking taylor expansion of 1.0 in k 8.415 * [taylor]: Taking taylor expansion of k in k 8.415 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.415 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.415 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.415 * [taylor]: Taking taylor expansion of 2.0 in k 8.415 * [taylor]: Taking taylor expansion of PI in k 8.416 * [taylor]: Taking taylor expansion of (log n) in k 8.416 * [taylor]: Taking taylor expansion of n in k 8.425 * [taylor]: Taking taylor expansion of 0 in k 8.447 * [taylor]: Taking taylor expansion of 0 in k 8.465 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.466 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.466 * [taylor]: Taking taylor expansion of 0.5 in k 8.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.466 * [taylor]: Taking taylor expansion of 1.0 in k 8.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.466 * [taylor]: Taking taylor expansion of k in k 8.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.466 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.466 * [taylor]: Taking taylor expansion of 2.0 in k 8.466 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.466 * [taylor]: Taking taylor expansion of PI in k 8.466 * [taylor]: Taking taylor expansion of n in k 8.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.467 * [taylor]: Taking taylor expansion of 0.5 in n 8.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.467 * [taylor]: Taking taylor expansion of 1.0 in n 8.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.467 * [taylor]: Taking taylor expansion of k in n 8.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.467 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.467 * [taylor]: Taking taylor expansion of 2.0 in n 8.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.467 * [taylor]: Taking taylor expansion of PI in n 8.467 * [taylor]: Taking taylor expansion of n in n 8.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.471 * [taylor]: Taking taylor expansion of 0.5 in n 8.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.471 * [taylor]: Taking taylor expansion of 1.0 in n 8.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.471 * [taylor]: Taking taylor expansion of k in n 8.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.471 * [taylor]: Taking taylor expansion of 2.0 in n 8.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.471 * [taylor]: Taking taylor expansion of PI in n 8.471 * [taylor]: Taking taylor expansion of n in n 8.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.475 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.475 * [taylor]: Taking taylor expansion of 0.5 in k 8.475 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.475 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.475 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.475 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.475 * [taylor]: Taking taylor expansion of 2.0 in k 8.475 * [taylor]: Taking taylor expansion of PI in k 8.476 * [taylor]: Taking taylor expansion of (log n) in k 8.476 * [taylor]: Taking taylor expansion of n in k 8.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.476 * [taylor]: Taking taylor expansion of 1.0 in k 8.476 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.476 * [taylor]: Taking taylor expansion of k in k 8.485 * [taylor]: Taking taylor expansion of 0 in k 8.493 * [taylor]: Taking taylor expansion of 0 in k 8.502 * [taylor]: Taking taylor expansion of 0 in k 8.503 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.503 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.503 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.503 * [taylor]: Taking taylor expansion of 0.5 in k 8.503 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.503 * [taylor]: Taking taylor expansion of k in k 8.504 * [taylor]: Taking taylor expansion of 1.0 in k 8.504 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.504 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.504 * [taylor]: Taking taylor expansion of -2.0 in k 8.504 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.504 * [taylor]: Taking taylor expansion of PI in k 8.504 * [taylor]: Taking taylor expansion of n in k 8.504 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.505 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.505 * [taylor]: Taking taylor expansion of 0.5 in n 8.505 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.505 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.505 * [taylor]: Taking taylor expansion of k in n 8.505 * [taylor]: Taking taylor expansion of 1.0 in n 8.505 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.505 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.505 * [taylor]: Taking taylor expansion of -2.0 in n 8.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.505 * [taylor]: Taking taylor expansion of PI in n 8.505 * [taylor]: Taking taylor expansion of n in n 8.508 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.508 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.508 * [taylor]: Taking taylor expansion of 0.5 in n 8.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.508 * [taylor]: Taking taylor expansion of k in n 8.508 * [taylor]: Taking taylor expansion of 1.0 in n 8.509 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.509 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.509 * [taylor]: Taking taylor expansion of -2.0 in n 8.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.509 * [taylor]: Taking taylor expansion of PI in n 8.509 * [taylor]: Taking taylor expansion of n in n 8.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.512 * [taylor]: Taking taylor expansion of 0.5 in k 8.512 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.512 * [taylor]: Taking taylor expansion of k in k 8.513 * [taylor]: Taking taylor expansion of 1.0 in k 8.513 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.513 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.513 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.513 * [taylor]: Taking taylor expansion of -2.0 in k 8.513 * [taylor]: Taking taylor expansion of PI in k 8.514 * [taylor]: Taking taylor expansion of (log n) in k 8.514 * [taylor]: Taking taylor expansion of n in k 8.528 * [taylor]: Taking taylor expansion of 0 in k 8.535 * [taylor]: Taking taylor expansion of 0 in k 8.544 * [taylor]: Taking taylor expansion of 0 in k 8.545 * * * [progress]: simplifying candidates 8.548 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ 1 1) (+ (log (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (log (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (exp (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (cbrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (sqrt (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (sqrt k))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (sqrt k))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* 1 1) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1) (* (cbrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow (sqrt 1.0) 2) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (* (pow (sqrt 1.0) 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (sqrt 1.0) 2)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) (pow k 3)))))))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow k 2)))))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.568 * * [simplify]: iteration 0 : 368 enodes (cost 3823 )