16.561 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.071 * * * [progress]: [2/2] Setting up program. 0.074 * [progress]: [Phase 2 of 3] Improving. 0.074 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.075 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.077 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.084 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.093 * * [simplify]: iteration 3 : 114 enodes (cost 16 ) 0.112 * * [simplify]: iteration 4 : 300 enodes (cost 16 ) 0.178 * * [simplify]: iteration 5 : 859 enodes (cost 16 ) 0.522 * * [simplify]: iteration 6 : 3855 enodes (cost 16 ) 2.808 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.808 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.809 * * [progress]: iteration 1 / 4 2.809 * * * [progress]: picking best candidate 2.811 * * * * [pick]: Picked # 2.811 * * * [progress]: localizing error 2.824 * * * [progress]: generating rewritten candidates 2.824 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.836 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.842 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.874 * * * [progress]: generating series expansions 2.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.875 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.875 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.875 * [taylor]: Taking taylor expansion of 0.5 in k 2.875 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.875 * [taylor]: Taking taylor expansion of 1.0 in k 2.875 * [taylor]: Taking taylor expansion of k in k 2.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.875 * [taylor]: Taking taylor expansion of 2.0 in k 2.875 * [taylor]: Taking taylor expansion of (* n PI) in k 2.875 * [taylor]: Taking taylor expansion of n in k 2.875 * [taylor]: Taking taylor expansion of PI in k 2.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.877 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.877 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.877 * [taylor]: Taking taylor expansion of 0.5 in n 2.877 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.877 * [taylor]: Taking taylor expansion of 1.0 in n 2.877 * [taylor]: Taking taylor expansion of k in n 2.877 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.877 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.877 * [taylor]: Taking taylor expansion of 2.0 in n 2.877 * [taylor]: Taking taylor expansion of (* n PI) in n 2.877 * [taylor]: Taking taylor expansion of n in n 2.877 * [taylor]: Taking taylor expansion of PI in n 2.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.882 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.882 * [taylor]: Taking taylor expansion of 0.5 in n 2.882 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.882 * [taylor]: Taking taylor expansion of 1.0 in n 2.882 * [taylor]: Taking taylor expansion of k in n 2.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.883 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.883 * [taylor]: Taking taylor expansion of 2.0 in n 2.883 * [taylor]: Taking taylor expansion of (* n PI) in n 2.883 * [taylor]: Taking taylor expansion of n in n 2.883 * [taylor]: Taking taylor expansion of PI in n 2.888 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.888 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.888 * [taylor]: Taking taylor expansion of 0.5 in k 2.888 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.888 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.888 * [taylor]: Taking taylor expansion of 1.0 in k 2.888 * [taylor]: Taking taylor expansion of k in k 2.888 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.888 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.888 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.888 * [taylor]: Taking taylor expansion of 2.0 in k 2.888 * [taylor]: Taking taylor expansion of PI in k 2.889 * [taylor]: Taking taylor expansion of (log n) in k 2.889 * [taylor]: Taking taylor expansion of n in k 2.899 * [taylor]: Taking taylor expansion of 0 in k 2.926 * [taylor]: Taking taylor expansion of 0 in k 2.963 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.963 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.963 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.963 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.963 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.963 * [taylor]: Taking taylor expansion of 0.5 in k 2.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.963 * [taylor]: Taking taylor expansion of 1.0 in k 2.963 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.963 * [taylor]: Taking taylor expansion of k in k 2.964 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.964 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.964 * [taylor]: Taking taylor expansion of 2.0 in k 2.964 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.964 * [taylor]: Taking taylor expansion of PI in k 2.964 * [taylor]: Taking taylor expansion of n in k 2.965 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.966 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.966 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.966 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.966 * [taylor]: Taking taylor expansion of 0.5 in n 2.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.966 * [taylor]: Taking taylor expansion of 1.0 in n 2.966 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.966 * [taylor]: Taking taylor expansion of k in n 2.966 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.966 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.966 * [taylor]: Taking taylor expansion of 2.0 in n 2.966 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.966 * [taylor]: Taking taylor expansion of PI in n 2.966 * [taylor]: Taking taylor expansion of n in n 2.972 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.972 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.972 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.972 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.972 * [taylor]: Taking taylor expansion of 0.5 in n 2.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.972 * [taylor]: Taking taylor expansion of 1.0 in n 2.972 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.972 * [taylor]: Taking taylor expansion of k in n 2.972 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.972 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.972 * [taylor]: Taking taylor expansion of 2.0 in n 2.972 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.972 * [taylor]: Taking taylor expansion of PI in n 2.972 * [taylor]: Taking taylor expansion of n in n 2.979 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.979 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.979 * [taylor]: Taking taylor expansion of 0.5 in k 2.979 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.979 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.979 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.979 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.979 * [taylor]: Taking taylor expansion of 2.0 in k 2.979 * [taylor]: Taking taylor expansion of PI in k 2.980 * [taylor]: Taking taylor expansion of (log n) in k 2.980 * [taylor]: Taking taylor expansion of n in k 2.980 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.981 * [taylor]: Taking taylor expansion of 1.0 in k 2.981 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.981 * [taylor]: Taking taylor expansion of k in k 2.997 * [taylor]: Taking taylor expansion of 0 in k 3.008 * [taylor]: Taking taylor expansion of 0 in k 3.017 * [taylor]: Taking taylor expansion of 0 in k 3.018 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.018 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.018 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.018 * [taylor]: Taking taylor expansion of 0.5 in k 3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.018 * [taylor]: Taking taylor expansion of k in k 3.019 * [taylor]: Taking taylor expansion of 1.0 in k 3.019 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.019 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.019 * [taylor]: Taking taylor expansion of -2.0 in k 3.019 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.019 * [taylor]: Taking taylor expansion of PI in k 3.019 * [taylor]: Taking taylor expansion of n in k 3.020 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.020 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.020 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.020 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.020 * [taylor]: Taking taylor expansion of 0.5 in n 3.020 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.020 * [taylor]: Taking taylor expansion of k in n 3.020 * [taylor]: Taking taylor expansion of 1.0 in n 3.020 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.020 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.020 * [taylor]: Taking taylor expansion of -2.0 in n 3.020 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.020 * [taylor]: Taking taylor expansion of PI in n 3.020 * [taylor]: Taking taylor expansion of n in n 3.023 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.024 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.024 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.024 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.024 * [taylor]: Taking taylor expansion of 0.5 in n 3.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.024 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.024 * [taylor]: Taking taylor expansion of k in n 3.024 * [taylor]: Taking taylor expansion of 1.0 in n 3.024 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.024 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.024 * [taylor]: Taking taylor expansion of -2.0 in n 3.024 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.024 * [taylor]: Taking taylor expansion of PI in n 3.024 * [taylor]: Taking taylor expansion of n in n 3.027 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.027 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.027 * [taylor]: Taking taylor expansion of 0.5 in k 3.027 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.028 * [taylor]: Taking taylor expansion of k in k 3.028 * [taylor]: Taking taylor expansion of 1.0 in k 3.028 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.028 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.028 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.028 * [taylor]: Taking taylor expansion of -2.0 in k 3.028 * [taylor]: Taking taylor expansion of PI in k 3.029 * [taylor]: Taking taylor expansion of (log n) in k 3.029 * [taylor]: Taking taylor expansion of n in k 3.038 * [taylor]: Taking taylor expansion of 0 in k 3.045 * [taylor]: Taking taylor expansion of 0 in k 3.054 * [taylor]: Taking taylor expansion of 0 in k 3.055 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.055 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.055 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.055 * [taylor]: Taking taylor expansion of 1.0 in k 3.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.055 * [taylor]: Taking taylor expansion of k in k 3.056 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.056 * [taylor]: Taking taylor expansion of 1.0 in k 3.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.056 * [taylor]: Taking taylor expansion of k in k 3.075 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.076 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.076 * [taylor]: Taking taylor expansion of 1.0 in k 3.076 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.076 * [taylor]: Taking taylor expansion of k in k 3.077 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.077 * [taylor]: Taking taylor expansion of 1.0 in k 3.077 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.077 * [taylor]: Taking taylor expansion of k in k 3.087 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.087 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.087 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.087 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.087 * [taylor]: Taking taylor expansion of -1 in k 3.087 * [taylor]: Taking taylor expansion of k in k 3.089 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.089 * [taylor]: Taking taylor expansion of 1.0 in k 3.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.089 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.089 * [taylor]: Taking taylor expansion of -1 in k 3.089 * [taylor]: Taking taylor expansion of k in k 3.101 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.101 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.101 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.101 * [taylor]: Taking taylor expansion of 2.0 in n 3.102 * [taylor]: Taking taylor expansion of (* n PI) in n 3.102 * [taylor]: Taking taylor expansion of n in n 3.102 * [taylor]: Taking taylor expansion of PI in n 3.102 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.102 * [taylor]: Taking taylor expansion of 2.0 in n 3.102 * [taylor]: Taking taylor expansion of (* n PI) in n 3.102 * [taylor]: Taking taylor expansion of n in n 3.102 * [taylor]: Taking taylor expansion of PI in n 3.114 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.114 * [taylor]: Taking taylor expansion of 2.0 in n 3.114 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.114 * [taylor]: Taking taylor expansion of PI in n 3.114 * [taylor]: Taking taylor expansion of n in n 3.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.114 * [taylor]: Taking taylor expansion of 2.0 in n 3.115 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.115 * [taylor]: Taking taylor expansion of PI in n 3.115 * [taylor]: Taking taylor expansion of n in n 3.130 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.130 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.130 * [taylor]: Taking taylor expansion of -2.0 in n 3.130 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.130 * [taylor]: Taking taylor expansion of PI in n 3.130 * [taylor]: Taking taylor expansion of n in n 3.131 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.131 * [taylor]: Taking taylor expansion of -2.0 in n 3.131 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.131 * [taylor]: Taking taylor expansion of PI in n 3.131 * [taylor]: Taking taylor expansion of n in n 3.140 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.140 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 3.140 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 3.140 * [taylor]: Taking taylor expansion of 1.0 in n 3.140 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 3.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.141 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.141 * [taylor]: Taking taylor expansion of k in n 3.141 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.141 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.141 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.141 * [taylor]: Taking taylor expansion of 0.5 in n 3.141 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.141 * [taylor]: Taking taylor expansion of 1.0 in n 3.141 * [taylor]: Taking taylor expansion of k in n 3.141 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.141 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.141 * [taylor]: Taking taylor expansion of 2.0 in n 3.141 * [taylor]: Taking taylor expansion of (* n PI) in n 3.141 * [taylor]: Taking taylor expansion of n in n 3.141 * [taylor]: Taking taylor expansion of PI in n 3.147 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.147 * [taylor]: Taking taylor expansion of 1.0 in k 3.147 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.147 * [taylor]: Taking taylor expansion of k in k 3.148 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.148 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.148 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.148 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.148 * [taylor]: Taking taylor expansion of 0.5 in k 3.148 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.148 * [taylor]: Taking taylor expansion of 1.0 in k 3.148 * [taylor]: Taking taylor expansion of k in k 3.148 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.148 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.149 * [taylor]: Taking taylor expansion of 2.0 in k 3.149 * [taylor]: Taking taylor expansion of (* n PI) in k 3.149 * [taylor]: Taking taylor expansion of n in k 3.149 * [taylor]: Taking taylor expansion of PI in k 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.150 * [taylor]: Taking taylor expansion of 1.0 in k 3.150 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.150 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.150 * [taylor]: Taking taylor expansion of k in k 3.151 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.151 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.151 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.151 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.151 * [taylor]: Taking taylor expansion of 0.5 in k 3.151 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.151 * [taylor]: Taking taylor expansion of 1.0 in k 3.151 * [taylor]: Taking taylor expansion of k in k 3.151 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.151 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.151 * [taylor]: Taking taylor expansion of 2.0 in k 3.151 * [taylor]: Taking taylor expansion of (* n PI) in k 3.151 * [taylor]: Taking taylor expansion of n in k 3.151 * [taylor]: Taking taylor expansion of PI in k 3.153 * [taylor]: Taking taylor expansion of 0 in n 3.162 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.162 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.162 * [taylor]: Taking taylor expansion of +nan.0 in n 3.162 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.162 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.162 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.162 * [taylor]: Taking taylor expansion of 0.5 in n 3.162 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.162 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.162 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.162 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.162 * [taylor]: Taking taylor expansion of 1.0 in n 3.162 * [taylor]: Taking taylor expansion of (log PI) in n 3.162 * [taylor]: Taking taylor expansion of PI in n 3.164 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.164 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.164 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.164 * [taylor]: Taking taylor expansion of 1.0 in n 3.164 * [taylor]: Taking taylor expansion of (log n) in n 3.164 * [taylor]: Taking taylor expansion of n in n 3.165 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.165 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.165 * [taylor]: Taking taylor expansion of 1.0 in n 3.165 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.165 * [taylor]: Taking taylor expansion of 2.0 in n 3.185 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 3.185 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 3.185 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.185 * [taylor]: Taking taylor expansion of +nan.0 in n 3.185 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.185 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.185 * [taylor]: Taking taylor expansion of 0.5 in n 3.185 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.185 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.185 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.185 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.185 * [taylor]: Taking taylor expansion of 1.0 in n 3.185 * [taylor]: Taking taylor expansion of (log PI) in n 3.185 * [taylor]: Taking taylor expansion of PI in n 3.187 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.187 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.187 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.187 * [taylor]: Taking taylor expansion of 1.0 in n 3.188 * [taylor]: Taking taylor expansion of (log n) in n 3.188 * [taylor]: Taking taylor expansion of n in n 3.188 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.188 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.188 * [taylor]: Taking taylor expansion of 1.0 in n 3.188 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.188 * [taylor]: Taking taylor expansion of 2.0 in n 3.193 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 3.194 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.194 * [taylor]: Taking taylor expansion of +nan.0 in n 3.194 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.194 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.194 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.194 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.194 * [taylor]: Taking taylor expansion of 0.5 in n 3.194 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.194 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.194 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.194 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.194 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.194 * [taylor]: Taking taylor expansion of 1.0 in n 3.194 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.194 * [taylor]: Taking taylor expansion of 2.0 in n 3.196 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.196 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.196 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.196 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.196 * [taylor]: Taking taylor expansion of 1.0 in n 3.196 * [taylor]: Taking taylor expansion of (log PI) in n 3.196 * [taylor]: Taking taylor expansion of PI in n 3.198 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.198 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.198 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.198 * [taylor]: Taking taylor expansion of 1.0 in n 3.198 * [taylor]: Taking taylor expansion of (log n) in n 3.198 * [taylor]: Taking taylor expansion of n in n 3.202 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.202 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.202 * [taylor]: Taking taylor expansion of 2.0 in n 3.202 * [taylor]: Taking taylor expansion of (* n PI) in n 3.202 * [taylor]: Taking taylor expansion of n in n 3.202 * [taylor]: Taking taylor expansion of PI in n 3.270 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 3.270 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.270 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.270 * [taylor]: Taking taylor expansion of +nan.0 in n 3.270 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.270 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.270 * [taylor]: Taking taylor expansion of 0.5 in n 3.270 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.270 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.270 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.270 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.270 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.270 * [taylor]: Taking taylor expansion of 1.0 in n 3.270 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.270 * [taylor]: Taking taylor expansion of 2.0 in n 3.272 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.272 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.272 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.272 * [taylor]: Taking taylor expansion of 1.0 in n 3.272 * [taylor]: Taking taylor expansion of (log n) in n 3.272 * [taylor]: Taking taylor expansion of n in n 3.273 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.273 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.273 * [taylor]: Taking taylor expansion of 1.0 in n 3.273 * [taylor]: Taking taylor expansion of (log PI) in n 3.273 * [taylor]: Taking taylor expansion of PI in n 3.278 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.278 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.278 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.278 * [taylor]: Taking taylor expansion of +nan.0 in n 3.278 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.278 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.279 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.279 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.279 * [taylor]: Taking taylor expansion of 0.5 in n 3.279 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.279 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.279 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.279 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.279 * [taylor]: Taking taylor expansion of 1.0 in n 3.279 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.279 * [taylor]: Taking taylor expansion of 2.0 in n 3.280 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.280 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.281 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.281 * [taylor]: Taking taylor expansion of 1.0 in n 3.281 * [taylor]: Taking taylor expansion of (log PI) in n 3.281 * [taylor]: Taking taylor expansion of PI in n 3.283 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.283 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.283 * [taylor]: Taking taylor expansion of 1.0 in n 3.283 * [taylor]: Taking taylor expansion of (log n) in n 3.283 * [taylor]: Taking taylor expansion of n in n 3.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.290 * [taylor]: Taking taylor expansion of 2.0 in n 3.290 * [taylor]: Taking taylor expansion of (* n PI) in n 3.290 * [taylor]: Taking taylor expansion of n in n 3.290 * [taylor]: Taking taylor expansion of PI in n 3.295 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 3.295 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.295 * [taylor]: Taking taylor expansion of +nan.0 in n 3.295 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.295 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.295 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.295 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.295 * [taylor]: Taking taylor expansion of 0.5 in n 3.295 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.295 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.295 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.295 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.295 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.295 * [taylor]: Taking taylor expansion of 1.0 in n 3.295 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.295 * [taylor]: Taking taylor expansion of 2.0 in n 3.298 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.298 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.298 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.298 * [taylor]: Taking taylor expansion of 1.0 in n 3.298 * [taylor]: Taking taylor expansion of (log PI) in n 3.298 * [taylor]: Taking taylor expansion of PI in n 3.300 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.300 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.300 * [taylor]: Taking taylor expansion of 1.0 in n 3.300 * [taylor]: Taking taylor expansion of (log n) in n 3.300 * [taylor]: Taking taylor expansion of n in n 3.305 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.305 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.305 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.305 * [taylor]: Taking taylor expansion of 2.0 in n 3.305 * [taylor]: Taking taylor expansion of (* n PI) in n 3.305 * [taylor]: Taking taylor expansion of n in n 3.305 * [taylor]: Taking taylor expansion of PI in n 3.420 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 3.420 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.420 * [taylor]: Taking taylor expansion of 1.0 in n 3.420 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.420 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.420 * [taylor]: Taking taylor expansion of k in n 3.421 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.421 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.421 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.421 * [taylor]: Taking taylor expansion of 0.5 in n 3.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.421 * [taylor]: Taking taylor expansion of k in n 3.421 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.421 * [taylor]: Taking taylor expansion of 2.0 in n 3.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.421 * [taylor]: Taking taylor expansion of PI in n 3.421 * [taylor]: Taking taylor expansion of n in n 3.427 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.427 * [taylor]: Taking taylor expansion of 1.0 in k 3.427 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.427 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.427 * [taylor]: Taking taylor expansion of k in k 3.429 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.429 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.429 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.429 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.429 * [taylor]: Taking taylor expansion of 0.5 in k 3.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.429 * [taylor]: Taking taylor expansion of 1.0 in k 3.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.429 * [taylor]: Taking taylor expansion of k in k 3.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.430 * [taylor]: Taking taylor expansion of 2.0 in k 3.430 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.430 * [taylor]: Taking taylor expansion of PI in k 3.430 * [taylor]: Taking taylor expansion of n in k 3.431 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.431 * [taylor]: Taking taylor expansion of 1.0 in k 3.431 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.431 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.431 * [taylor]: Taking taylor expansion of k in k 3.433 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.433 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.433 * [taylor]: Taking taylor expansion of 0.5 in k 3.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.433 * [taylor]: Taking taylor expansion of 1.0 in k 3.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.433 * [taylor]: Taking taylor expansion of k in k 3.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.434 * [taylor]: Taking taylor expansion of 2.0 in k 3.434 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.434 * [taylor]: Taking taylor expansion of PI in k 3.434 * [taylor]: Taking taylor expansion of n in k 3.436 * [taylor]: Taking taylor expansion of 0 in n 3.437 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.437 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.437 * [taylor]: Taking taylor expansion of +nan.0 in n 3.437 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.437 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.437 * [taylor]: Taking taylor expansion of 0.5 in n 3.437 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.438 * [taylor]: Taking taylor expansion of 2.0 in n 3.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.438 * [taylor]: Taking taylor expansion of PI in n 3.438 * [taylor]: Taking taylor expansion of n in n 3.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.440 * [taylor]: Taking taylor expansion of 1.0 in n 3.440 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.440 * [taylor]: Taking taylor expansion of k in n 3.454 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.454 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.454 * [taylor]: Taking taylor expansion of +nan.0 in n 3.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.454 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.454 * [taylor]: Taking taylor expansion of 0.5 in n 3.454 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.454 * [taylor]: Taking taylor expansion of 2.0 in n 3.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.454 * [taylor]: Taking taylor expansion of PI in n 3.454 * [taylor]: Taking taylor expansion of n in n 3.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.456 * [taylor]: Taking taylor expansion of 1.0 in n 3.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.456 * [taylor]: Taking taylor expansion of k in n 3.478 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.478 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.478 * [taylor]: Taking taylor expansion of +nan.0 in n 3.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.478 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.478 * [taylor]: Taking taylor expansion of 0.5 in n 3.478 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.478 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.478 * [taylor]: Taking taylor expansion of 2.0 in n 3.478 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.478 * [taylor]: Taking taylor expansion of PI in n 3.478 * [taylor]: Taking taylor expansion of n in n 3.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.480 * [taylor]: Taking taylor expansion of 1.0 in n 3.480 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.480 * [taylor]: Taking taylor expansion of k in n 3.489 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 3.489 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.489 * [taylor]: Taking taylor expansion of 1.0 in n 3.489 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.489 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.489 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.489 * [taylor]: Taking taylor expansion of 0.5 in n 3.489 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.489 * [taylor]: Taking taylor expansion of k in n 3.489 * [taylor]: Taking taylor expansion of 1.0 in n 3.489 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.489 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.489 * [taylor]: Taking taylor expansion of -2.0 in n 3.489 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.489 * [taylor]: Taking taylor expansion of PI in n 3.489 * [taylor]: Taking taylor expansion of n in n 3.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.493 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.493 * [taylor]: Taking taylor expansion of -1 in n 3.493 * [taylor]: Taking taylor expansion of k in n 3.494 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.494 * [taylor]: Taking taylor expansion of 1.0 in k 3.494 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.494 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.494 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.494 * [taylor]: Taking taylor expansion of 0.5 in k 3.494 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.494 * [taylor]: Taking taylor expansion of k in k 3.495 * [taylor]: Taking taylor expansion of 1.0 in k 3.495 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.495 * [taylor]: Taking taylor expansion of -2.0 in k 3.495 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.495 * [taylor]: Taking taylor expansion of PI in k 3.495 * [taylor]: Taking taylor expansion of n in k 3.496 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.496 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.496 * [taylor]: Taking taylor expansion of -1 in k 3.496 * [taylor]: Taking taylor expansion of k in k 3.497 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.497 * [taylor]: Taking taylor expansion of 1.0 in k 3.497 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.497 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.497 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.497 * [taylor]: Taking taylor expansion of 0.5 in k 3.497 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.497 * [taylor]: Taking taylor expansion of k in k 3.498 * [taylor]: Taking taylor expansion of 1.0 in k 3.498 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.498 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.498 * [taylor]: Taking taylor expansion of -2.0 in k 3.498 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.498 * [taylor]: Taking taylor expansion of PI in k 3.498 * [taylor]: Taking taylor expansion of n in k 3.499 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.499 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.499 * [taylor]: Taking taylor expansion of -1 in k 3.499 * [taylor]: Taking taylor expansion of k in k 3.500 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.500 * [taylor]: Taking taylor expansion of +nan.0 in n 3.500 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.500 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.500 * [taylor]: Taking taylor expansion of 0.5 in n 3.500 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.500 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.500 * [taylor]: Taking taylor expansion of k in n 3.500 * [taylor]: Taking taylor expansion of 1.0 in n 3.500 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.500 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.500 * [taylor]: Taking taylor expansion of -2.0 in n 3.501 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.501 * [taylor]: Taking taylor expansion of PI in n 3.501 * [taylor]: Taking taylor expansion of n in n 3.513 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.513 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.513 * [taylor]: Taking taylor expansion of +nan.0 in n 3.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.513 * [taylor]: Taking taylor expansion of 0.5 in n 3.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.514 * [taylor]: Taking taylor expansion of k in n 3.514 * [taylor]: Taking taylor expansion of 1.0 in n 3.514 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.514 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.514 * [taylor]: Taking taylor expansion of -2.0 in n 3.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.514 * [taylor]: Taking taylor expansion of PI in n 3.514 * [taylor]: Taking taylor expansion of n in n 3.533 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.533 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.533 * [taylor]: Taking taylor expansion of +nan.0 in n 3.533 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.533 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.533 * [taylor]: Taking taylor expansion of 0.5 in n 3.533 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.533 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.533 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.533 * [taylor]: Taking taylor expansion of k in n 3.533 * [taylor]: Taking taylor expansion of 1.0 in n 3.533 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.533 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.533 * [taylor]: Taking taylor expansion of -2.0 in n 3.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.533 * [taylor]: Taking taylor expansion of PI in n 3.533 * [taylor]: Taking taylor expansion of n in n 3.543 * * * [progress]: simplifying candidates 3.546 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (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))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 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)))))))))))) 3.567 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 3.647 * * [simplify]: iteration 1 : 987 enodes (cost 2720 ) 3.895 * * [simplify]: iteration 2 : 3968 enodes (cost 2544 ) 4.896 * * [simplify]: iteration done : 5000 enodes (cost 2544 ) 4.897 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 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 (* n PI)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 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) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 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)))) (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))) (- (+ (fma (* 0.25 (pow k 2)) (* (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (log (* 2.0 PI))) (pow (* 2.0 (* n PI)) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))))) (* (* k (+ (* (pow (* 2.0 (* n PI)) 0.5) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.5) (log n)))) 0.5)) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (fma +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)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (fma +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)))) (fma (* (* (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 (- (+ (- (* +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))))) (+ (- (/ (* (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) +nan.0) (pow k 3))) (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 4.898 * * * [progress]: adding candidates to table 5.380 * * [progress]: iteration 2 / 4 5.380 * * * [progress]: picking best candidate 5.416 * * * * [pick]: Picked # 5.416 * * * [progress]: localizing error 5.429 * * * [progress]: generating rewritten candidates 5.429 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 5.438 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 5.445 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 5.455 * * * [progress]: generating series expansions 5.455 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 5.455 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.455 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.455 * [taylor]: Taking taylor expansion of 0.5 in k 5.455 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.455 * [taylor]: Taking taylor expansion of 1.0 in k 5.456 * [taylor]: Taking taylor expansion of k in k 5.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.456 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.456 * [taylor]: Taking taylor expansion of 2.0 in k 5.456 * [taylor]: Taking taylor expansion of (* n PI) in k 5.456 * [taylor]: Taking taylor expansion of n in k 5.456 * [taylor]: Taking taylor expansion of PI in k 5.457 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.457 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.457 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.457 * [taylor]: Taking taylor expansion of 0.5 in n 5.457 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.457 * [taylor]: Taking taylor expansion of 1.0 in n 5.457 * [taylor]: Taking taylor expansion of k in n 5.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.457 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.457 * [taylor]: Taking taylor expansion of 2.0 in n 5.457 * [taylor]: Taking taylor expansion of (* n PI) in n 5.457 * [taylor]: Taking taylor expansion of n in n 5.457 * [taylor]: Taking taylor expansion of PI in n 5.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.463 * [taylor]: Taking taylor expansion of 0.5 in n 5.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.463 * [taylor]: Taking taylor expansion of 1.0 in n 5.463 * [taylor]: Taking taylor expansion of k in n 5.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.463 * [taylor]: Taking taylor expansion of 2.0 in n 5.463 * [taylor]: Taking taylor expansion of (* n PI) in n 5.463 * [taylor]: Taking taylor expansion of n in n 5.463 * [taylor]: Taking taylor expansion of PI in n 5.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.468 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.468 * [taylor]: Taking taylor expansion of 0.5 in k 5.468 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.468 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.468 * [taylor]: Taking taylor expansion of 1.0 in k 5.468 * [taylor]: Taking taylor expansion of k in k 5.468 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.468 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.468 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.468 * [taylor]: Taking taylor expansion of 2.0 in k 5.468 * [taylor]: Taking taylor expansion of PI in k 5.469 * [taylor]: Taking taylor expansion of (log n) in k 5.469 * [taylor]: Taking taylor expansion of n in k 5.479 * [taylor]: Taking taylor expansion of 0 in k 5.499 * [taylor]: Taking taylor expansion of 0 in k 5.519 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.519 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.519 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.519 * [taylor]: Taking taylor expansion of 0.5 in k 5.519 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.519 * [taylor]: Taking taylor expansion of 1.0 in k 5.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.519 * [taylor]: Taking taylor expansion of k in k 5.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.520 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.520 * [taylor]: Taking taylor expansion of 2.0 in k 5.520 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.520 * [taylor]: Taking taylor expansion of PI in k 5.520 * [taylor]: Taking taylor expansion of n in k 5.522 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.522 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.522 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.522 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.522 * [taylor]: Taking taylor expansion of 0.5 in n 5.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.522 * [taylor]: Taking taylor expansion of 1.0 in n 5.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.522 * [taylor]: Taking taylor expansion of k in n 5.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.522 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.522 * [taylor]: Taking taylor expansion of 2.0 in n 5.522 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.522 * [taylor]: Taking taylor expansion of PI in n 5.522 * [taylor]: Taking taylor expansion of n in n 5.528 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.528 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.529 * [taylor]: Taking taylor expansion of 0.5 in n 5.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.529 * [taylor]: Taking taylor expansion of 1.0 in n 5.529 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.529 * [taylor]: Taking taylor expansion of k in n 5.529 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.529 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.529 * [taylor]: Taking taylor expansion of 2.0 in n 5.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.529 * [taylor]: Taking taylor expansion of PI in n 5.529 * [taylor]: Taking taylor expansion of n in n 5.535 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.535 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.535 * [taylor]: Taking taylor expansion of 0.5 in k 5.535 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.535 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.535 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.535 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.535 * [taylor]: Taking taylor expansion of 2.0 in k 5.535 * [taylor]: Taking taylor expansion of PI in k 5.537 * [taylor]: Taking taylor expansion of (log n) in k 5.537 * [taylor]: Taking taylor expansion of n in k 5.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.537 * [taylor]: Taking taylor expansion of 1.0 in k 5.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.537 * [taylor]: Taking taylor expansion of k in k 5.551 * [taylor]: Taking taylor expansion of 0 in k 5.558 * [taylor]: Taking taylor expansion of 0 in k 5.568 * [taylor]: Taking taylor expansion of 0 in k 5.569 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.569 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.569 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.569 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.569 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.569 * [taylor]: Taking taylor expansion of 0.5 in k 5.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.569 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.569 * [taylor]: Taking taylor expansion of k in k 5.570 * [taylor]: Taking taylor expansion of 1.0 in k 5.570 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.570 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.570 * [taylor]: Taking taylor expansion of -2.0 in k 5.570 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.570 * [taylor]: Taking taylor expansion of PI in k 5.570 * [taylor]: Taking taylor expansion of n in k 5.571 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.571 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.571 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.571 * [taylor]: Taking taylor expansion of 0.5 in n 5.571 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.571 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.571 * [taylor]: Taking taylor expansion of k in n 5.571 * [taylor]: Taking taylor expansion of 1.0 in n 5.571 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.571 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.571 * [taylor]: Taking taylor expansion of -2.0 in n 5.571 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.571 * [taylor]: Taking taylor expansion of PI in n 5.571 * [taylor]: Taking taylor expansion of n in n 5.575 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.575 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.575 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.575 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.575 * [taylor]: Taking taylor expansion of 0.5 in n 5.575 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.575 * [taylor]: Taking taylor expansion of k in n 5.575 * [taylor]: Taking taylor expansion of 1.0 in n 5.575 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.575 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.575 * [taylor]: Taking taylor expansion of -2.0 in n 5.575 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.575 * [taylor]: Taking taylor expansion of PI in n 5.575 * [taylor]: Taking taylor expansion of n in n 5.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.579 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.579 * [taylor]: Taking taylor expansion of 0.5 in k 5.579 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.579 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.579 * [taylor]: Taking taylor expansion of k in k 5.580 * [taylor]: Taking taylor expansion of 1.0 in k 5.580 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.580 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.580 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.580 * [taylor]: Taking taylor expansion of -2.0 in k 5.580 * [taylor]: Taking taylor expansion of PI in k 5.581 * [taylor]: Taking taylor expansion of (log n) in k 5.581 * [taylor]: Taking taylor expansion of n in k 5.594 * [taylor]: Taking taylor expansion of 0 in k 5.602 * [taylor]: Taking taylor expansion of 0 in k 5.611 * [taylor]: Taking taylor expansion of 0 in k 5.612 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 5.612 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.612 * [taylor]: Taking taylor expansion of 2.0 in n 5.612 * [taylor]: Taking taylor expansion of (* n PI) in n 5.612 * [taylor]: Taking taylor expansion of n in n 5.612 * [taylor]: Taking taylor expansion of PI in n 5.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.612 * [taylor]: Taking taylor expansion of 2.0 in n 5.612 * [taylor]: Taking taylor expansion of (* n PI) in n 5.612 * [taylor]: Taking taylor expansion of n in n 5.612 * [taylor]: Taking taylor expansion of PI in n 5.625 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.626 * [taylor]: Taking taylor expansion of 2.0 in n 5.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.626 * [taylor]: Taking taylor expansion of PI in n 5.626 * [taylor]: Taking taylor expansion of n in n 5.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.626 * [taylor]: Taking taylor expansion of 2.0 in n 5.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.626 * [taylor]: Taking taylor expansion of PI in n 5.626 * [taylor]: Taking taylor expansion of n in n 5.635 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.635 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.635 * [taylor]: Taking taylor expansion of -2.0 in n 5.635 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.635 * [taylor]: Taking taylor expansion of PI in n 5.635 * [taylor]: Taking taylor expansion of n in n 5.636 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.636 * [taylor]: Taking taylor expansion of -2.0 in n 5.636 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.636 * [taylor]: Taking taylor expansion of PI in n 5.636 * [taylor]: Taking taylor expansion of n in n 5.644 * * * * [progress]: [ 3 / 3 ] generating series at (2) 5.645 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 5.645 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 5.645 * [taylor]: Taking taylor expansion of 1.0 in k 5.645 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 5.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.645 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.645 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.645 * [taylor]: Taking taylor expansion of 0.5 in k 5.645 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.645 * [taylor]: Taking taylor expansion of 1.0 in k 5.645 * [taylor]: Taking taylor expansion of k in k 5.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.645 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.645 * [taylor]: Taking taylor expansion of 2.0 in k 5.645 * [taylor]: Taking taylor expansion of (* n PI) in k 5.645 * [taylor]: Taking taylor expansion of n in k 5.646 * [taylor]: Taking taylor expansion of PI in k 5.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.647 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.647 * [taylor]: Taking taylor expansion of k in k 5.648 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 5.648 * [taylor]: Taking taylor expansion of 1.0 in n 5.648 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 5.648 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.648 * [taylor]: Taking taylor expansion of 0.5 in n 5.648 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.648 * [taylor]: Taking taylor expansion of 1.0 in n 5.648 * [taylor]: Taking taylor expansion of k in n 5.648 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.648 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.648 * [taylor]: Taking taylor expansion of 2.0 in n 5.648 * [taylor]: Taking taylor expansion of (* n PI) in n 5.648 * [taylor]: Taking taylor expansion of n in n 5.648 * [taylor]: Taking taylor expansion of PI in n 5.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.654 * [taylor]: Taking taylor expansion of k in n 5.654 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 5.654 * [taylor]: Taking taylor expansion of 1.0 in n 5.654 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 5.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.654 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.654 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.654 * [taylor]: Taking taylor expansion of 0.5 in n 5.654 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.654 * [taylor]: Taking taylor expansion of 1.0 in n 5.654 * [taylor]: Taking taylor expansion of k in n 5.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.654 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.654 * [taylor]: Taking taylor expansion of 2.0 in n 5.654 * [taylor]: Taking taylor expansion of (* n PI) in n 5.654 * [taylor]: Taking taylor expansion of n in n 5.654 * [taylor]: Taking taylor expansion of PI in n 5.660 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.660 * [taylor]: Taking taylor expansion of k in n 5.662 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 5.662 * [taylor]: Taking taylor expansion of 1.0 in k 5.662 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 5.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.662 * [taylor]: Taking taylor expansion of k in k 5.663 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.663 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.663 * [taylor]: Taking taylor expansion of 0.5 in k 5.663 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.663 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.663 * [taylor]: Taking taylor expansion of 1.0 in k 5.663 * [taylor]: Taking taylor expansion of k in k 5.663 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.663 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.663 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.663 * [taylor]: Taking taylor expansion of 2.0 in k 5.663 * [taylor]: Taking taylor expansion of PI in k 5.664 * [taylor]: Taking taylor expansion of (log n) in k 5.664 * [taylor]: Taking taylor expansion of n in k 5.679 * [taylor]: Taking taylor expansion of 0 in k 5.701 * [taylor]: Taking taylor expansion of 0 in k 5.745 * [taylor]: Taking taylor expansion of 0 in k 5.826 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 5.826 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.826 * [taylor]: Taking taylor expansion of 1.0 in k 5.826 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.826 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.826 * [taylor]: Taking taylor expansion of k in k 5.827 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.827 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.827 * [taylor]: Taking taylor expansion of 0.5 in k 5.827 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.827 * [taylor]: Taking taylor expansion of 1.0 in k 5.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.827 * [taylor]: Taking taylor expansion of k in k 5.828 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.828 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.828 * [taylor]: Taking taylor expansion of 2.0 in k 5.828 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.828 * [taylor]: Taking taylor expansion of PI in k 5.828 * [taylor]: Taking taylor expansion of n in k 5.829 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.829 * [taylor]: Taking taylor expansion of 1.0 in n 5.829 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.829 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.829 * [taylor]: Taking taylor expansion of k in n 5.829 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.829 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.829 * [taylor]: Taking taylor expansion of 0.5 in n 5.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.829 * [taylor]: Taking taylor expansion of 1.0 in n 5.829 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.829 * [taylor]: Taking taylor expansion of k in n 5.829 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.829 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.830 * [taylor]: Taking taylor expansion of 2.0 in n 5.830 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.830 * [taylor]: Taking taylor expansion of PI in n 5.830 * [taylor]: Taking taylor expansion of n in n 5.834 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.834 * [taylor]: Taking taylor expansion of 1.0 in n 5.834 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.834 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.834 * [taylor]: Taking taylor expansion of k in n 5.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.834 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.834 * [taylor]: Taking taylor expansion of 0.5 in n 5.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.834 * [taylor]: Taking taylor expansion of 1.0 in n 5.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.834 * [taylor]: Taking taylor expansion of k in n 5.834 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.834 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.834 * [taylor]: Taking taylor expansion of 2.0 in n 5.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.834 * [taylor]: Taking taylor expansion of PI in n 5.834 * [taylor]: Taking taylor expansion of n in n 5.841 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 5.841 * [taylor]: Taking taylor expansion of 1.0 in k 5.841 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 5.841 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.841 * [taylor]: Taking taylor expansion of k in k 5.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.842 * [taylor]: Taking taylor expansion of 0.5 in k 5.842 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.842 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.842 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.842 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.842 * [taylor]: Taking taylor expansion of 2.0 in k 5.842 * [taylor]: Taking taylor expansion of PI in k 5.844 * [taylor]: Taking taylor expansion of (log n) in k 5.844 * [taylor]: Taking taylor expansion of n in k 5.844 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.844 * [taylor]: Taking taylor expansion of 1.0 in k 5.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.844 * [taylor]: Taking taylor expansion of k in k 5.859 * [taylor]: Taking taylor expansion of 0 in k 5.881 * [taylor]: Taking taylor expansion of 0 in k 5.905 * [taylor]: Taking taylor expansion of 0 in k 5.916 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 5.916 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.916 * [taylor]: Taking taylor expansion of 1.0 in k 5.916 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.916 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.916 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.916 * [taylor]: Taking taylor expansion of 0.5 in k 5.916 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.916 * [taylor]: Taking taylor expansion of k in k 5.917 * [taylor]: Taking taylor expansion of 1.0 in k 5.917 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.917 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.917 * [taylor]: Taking taylor expansion of -2.0 in k 5.917 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.917 * [taylor]: Taking taylor expansion of PI in k 5.917 * [taylor]: Taking taylor expansion of n in k 5.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.918 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.918 * [taylor]: Taking taylor expansion of -1 in k 5.918 * [taylor]: Taking taylor expansion of k in k 5.919 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.919 * [taylor]: Taking taylor expansion of 1.0 in n 5.919 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.919 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.919 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.919 * [taylor]: Taking taylor expansion of 0.5 in n 5.919 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.919 * [taylor]: Taking taylor expansion of k in n 5.920 * [taylor]: Taking taylor expansion of 1.0 in n 5.920 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.920 * [taylor]: Taking taylor expansion of -2.0 in n 5.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.920 * [taylor]: Taking taylor expansion of PI in n 5.920 * [taylor]: Taking taylor expansion of n in n 5.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.923 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.923 * [taylor]: Taking taylor expansion of -1 in n 5.923 * [taylor]: Taking taylor expansion of k in n 5.924 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.924 * [taylor]: Taking taylor expansion of 1.0 in n 5.924 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.924 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.924 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.924 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.925 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.925 * [taylor]: Taking taylor expansion of 0.5 in n 5.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.925 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.925 * [taylor]: Taking taylor expansion of k in n 5.925 * [taylor]: Taking taylor expansion of 1.0 in n 5.925 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.925 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.925 * [taylor]: Taking taylor expansion of -2.0 in n 5.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.925 * [taylor]: Taking taylor expansion of PI in n 5.925 * [taylor]: Taking taylor expansion of n in n 5.929 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.929 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.929 * [taylor]: Taking taylor expansion of -1 in n 5.929 * [taylor]: Taking taylor expansion of k in n 5.931 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 5.931 * [taylor]: Taking taylor expansion of 1.0 in k 5.931 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 5.931 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.931 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.931 * [taylor]: Taking taylor expansion of 0.5 in k 5.931 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.931 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.931 * [taylor]: Taking taylor expansion of k in k 5.931 * [taylor]: Taking taylor expansion of 1.0 in k 5.931 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.931 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.931 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.931 * [taylor]: Taking taylor expansion of -2.0 in k 5.931 * [taylor]: Taking taylor expansion of PI in k 5.932 * [taylor]: Taking taylor expansion of (log n) in k 5.932 * [taylor]: Taking taylor expansion of n in k 5.935 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.935 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.935 * [taylor]: Taking taylor expansion of -1 in k 5.935 * [taylor]: Taking taylor expansion of k in k 5.946 * [taylor]: Taking taylor expansion of 0 in k 5.962 * [taylor]: Taking taylor expansion of 0 in k 5.974 * * * [progress]: simplifying candidates 5.981 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.995 * * [simplify]: iteration 0 : 270 enodes (cost 1898 ) 6.056 * * [simplify]: iteration 1 : 745 enodes (cost 1766 ) 6.239 * * [simplify]: iteration 2 : 2978 enodes (cost 1592 ) 6.941 * * [simplify]: iteration done : 5000 enodes (cost 1586 ) 6.942 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 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 (* n PI)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1.0) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (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))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2)))) (fma (* 0.25 (pow k 2)) (* (log (* 2.0 PI)) (* (pow (* 2.0 (* n PI)) 0.5) (log n))) (pow (* 2.0 (* n PI)) 0.5))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5)) (* (pow (* 2.0 (* n PI)) 0.5) (log n))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 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)) (- (- (* (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (* +nan.0 (pow k 2))) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* 2.0 (* n PI)) 0.5)) (- (fma +nan.0 (* (pow (* 2.0 (* n PI)) 0.5) (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (fma (* (* (* (pow k 2) (log (* 2.0 PI))) (pow (* 2.0 (* n PI)) 0.5)) (log n)) +nan.0 (- (* +nan.0 (- (* (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2)) (pow k 2)) (pow (* 2.0 (* n PI)) 0.5))) (* (* (* +nan.0 k) (pow (* 2.0 (* n PI)) 0.5)) (log (* 2.0 PI))))) (* (* +nan.0 k) (pow (* 2.0 (* n PI)) 0.5)))) (* k (* (* (pow (* 2.0 (* n PI)) 0.5) (log n)) +nan.0))))) (* (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)) (pow k 2))) (- (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* +nan.0 (pow (pow (* 2.0 (* n PI)) 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))) 6.942 * * * [progress]: adding candidates to table 7.202 * * [progress]: iteration 3 / 4 7.202 * * * [progress]: picking best candidate 7.225 * * * * [pick]: Picked # 7.225 * * * [progress]: localizing error 7.238 * * * [progress]: generating rewritten candidates 7.238 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.251 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 7.257 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.262 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.288 * * * [progress]: generating series expansions 7.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.289 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 7.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.289 * [taylor]: Taking taylor expansion of 0.5 in k 7.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.290 * [taylor]: Taking taylor expansion of 1.0 in k 7.290 * [taylor]: Taking taylor expansion of k in k 7.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.290 * [taylor]: Taking taylor expansion of 2.0 in k 7.290 * [taylor]: Taking taylor expansion of (* n PI) in k 7.290 * [taylor]: Taking taylor expansion of n in k 7.290 * [taylor]: Taking taylor expansion of PI in k 7.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.291 * [taylor]: Taking taylor expansion of 0.5 in n 7.291 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.291 * [taylor]: Taking taylor expansion of 1.0 in n 7.291 * [taylor]: Taking taylor expansion of k in n 7.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.291 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.291 * [taylor]: Taking taylor expansion of 2.0 in n 7.291 * [taylor]: Taking taylor expansion of (* n PI) in n 7.291 * [taylor]: Taking taylor expansion of n in n 7.291 * [taylor]: Taking taylor expansion of PI in n 7.297 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.297 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.297 * [taylor]: Taking taylor expansion of 0.5 in n 7.297 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.297 * [taylor]: Taking taylor expansion of 1.0 in n 7.297 * [taylor]: Taking taylor expansion of k in n 7.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.297 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.297 * [taylor]: Taking taylor expansion of 2.0 in n 7.297 * [taylor]: Taking taylor expansion of (* n PI) in n 7.297 * [taylor]: Taking taylor expansion of n in n 7.297 * [taylor]: Taking taylor expansion of PI in n 7.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.303 * [taylor]: Taking taylor expansion of 0.5 in k 7.303 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.303 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.303 * [taylor]: Taking taylor expansion of 1.0 in k 7.303 * [taylor]: Taking taylor expansion of k in k 7.303 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.303 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.303 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.303 * [taylor]: Taking taylor expansion of 2.0 in k 7.303 * [taylor]: Taking taylor expansion of PI in k 7.304 * [taylor]: Taking taylor expansion of (log n) in k 7.304 * [taylor]: Taking taylor expansion of n in k 7.314 * [taylor]: Taking taylor expansion of 0 in k 7.337 * [taylor]: Taking taylor expansion of 0 in k 7.357 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.357 * [taylor]: Taking taylor expansion of 0.5 in k 7.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.357 * [taylor]: Taking taylor expansion of 1.0 in k 7.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.357 * [taylor]: Taking taylor expansion of k in k 7.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.357 * [taylor]: Taking taylor expansion of 2.0 in k 7.357 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.357 * [taylor]: Taking taylor expansion of PI in k 7.357 * [taylor]: Taking taylor expansion of n in k 7.358 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.359 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.359 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.359 * [taylor]: Taking taylor expansion of 0.5 in n 7.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.359 * [taylor]: Taking taylor expansion of 1.0 in n 7.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.359 * [taylor]: Taking taylor expansion of k in n 7.359 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.359 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.359 * [taylor]: Taking taylor expansion of 2.0 in n 7.359 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.359 * [taylor]: Taking taylor expansion of PI in n 7.359 * [taylor]: Taking taylor expansion of n in n 7.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.363 * [taylor]: Taking taylor expansion of 0.5 in n 7.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.363 * [taylor]: Taking taylor expansion of 1.0 in n 7.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.363 * [taylor]: Taking taylor expansion of k in n 7.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.363 * [taylor]: Taking taylor expansion of 2.0 in n 7.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.363 * [taylor]: Taking taylor expansion of PI in n 7.363 * [taylor]: Taking taylor expansion of n in n 7.367 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 7.367 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 7.367 * [taylor]: Taking taylor expansion of 0.5 in k 7.367 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 7.367 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.367 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.367 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.367 * [taylor]: Taking taylor expansion of 2.0 in k 7.367 * [taylor]: Taking taylor expansion of PI in k 7.368 * [taylor]: Taking taylor expansion of (log n) in k 7.368 * [taylor]: Taking taylor expansion of n in k 7.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.368 * [taylor]: Taking taylor expansion of 1.0 in k 7.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.368 * [taylor]: Taking taylor expansion of k in k 7.378 * [taylor]: Taking taylor expansion of 0 in k 7.386 * [taylor]: Taking taylor expansion of 0 in k 7.395 * [taylor]: Taking taylor expansion of 0 in k 7.396 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.397 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.397 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.397 * [taylor]: Taking taylor expansion of 0.5 in k 7.397 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.397 * [taylor]: Taking taylor expansion of k in k 7.397 * [taylor]: Taking taylor expansion of 1.0 in k 7.397 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.397 * [taylor]: Taking taylor expansion of -2.0 in k 7.397 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.397 * [taylor]: Taking taylor expansion of PI in k 7.397 * [taylor]: Taking taylor expansion of n in k 7.398 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.398 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.398 * [taylor]: Taking taylor expansion of 0.5 in n 7.398 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.398 * [taylor]: Taking taylor expansion of k in n 7.398 * [taylor]: Taking taylor expansion of 1.0 in n 7.398 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.398 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.398 * [taylor]: Taking taylor expansion of -2.0 in n 7.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.398 * [taylor]: Taking taylor expansion of PI in n 7.398 * [taylor]: Taking taylor expansion of n in n 7.402 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.402 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.402 * [taylor]: Taking taylor expansion of 0.5 in n 7.402 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.402 * [taylor]: Taking taylor expansion of k in n 7.402 * [taylor]: Taking taylor expansion of 1.0 in n 7.402 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.402 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.402 * [taylor]: Taking taylor expansion of -2.0 in n 7.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.402 * [taylor]: Taking taylor expansion of PI in n 7.402 * [taylor]: Taking taylor expansion of n in n 7.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 7.406 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 7.406 * [taylor]: Taking taylor expansion of 0.5 in k 7.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 7.406 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.406 * [taylor]: Taking taylor expansion of k in k 7.406 * [taylor]: Taking taylor expansion of 1.0 in k 7.407 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.407 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.407 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.407 * [taylor]: Taking taylor expansion of -2.0 in k 7.407 * [taylor]: Taking taylor expansion of PI in k 7.408 * [taylor]: Taking taylor expansion of (log n) in k 7.408 * [taylor]: Taking taylor expansion of n in k 7.417 * [taylor]: Taking taylor expansion of 0 in k 7.430 * [taylor]: Taking taylor expansion of 0 in k 7.440 * [taylor]: Taking taylor expansion of 0 in k 7.441 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 7.441 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 7.441 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.441 * [taylor]: Taking taylor expansion of 2.0 in n 7.441 * [taylor]: Taking taylor expansion of (* n PI) in n 7.441 * [taylor]: Taking taylor expansion of n in n 7.441 * [taylor]: Taking taylor expansion of PI in n 7.441 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.441 * [taylor]: Taking taylor expansion of 2.0 in n 7.441 * [taylor]: Taking taylor expansion of (* n PI) in n 7.441 * [taylor]: Taking taylor expansion of n in n 7.441 * [taylor]: Taking taylor expansion of PI in n 7.454 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 7.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.454 * [taylor]: Taking taylor expansion of 2.0 in n 7.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.454 * [taylor]: Taking taylor expansion of PI in n 7.454 * [taylor]: Taking taylor expansion of n in n 7.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.455 * [taylor]: Taking taylor expansion of 2.0 in n 7.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.455 * [taylor]: Taking taylor expansion of PI in n 7.455 * [taylor]: Taking taylor expansion of n in n 7.464 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 7.464 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.464 * [taylor]: Taking taylor expansion of -2.0 in n 7.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.464 * [taylor]: Taking taylor expansion of PI in n 7.464 * [taylor]: Taking taylor expansion of n in n 7.464 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.464 * [taylor]: Taking taylor expansion of -2.0 in n 7.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.464 * [taylor]: Taking taylor expansion of PI in n 7.464 * [taylor]: Taking taylor expansion of n in n 7.474 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.474 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 7.474 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 7.474 * [taylor]: Taking taylor expansion of (sqrt k) in n 7.474 * [taylor]: Taking taylor expansion of k in n 7.474 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 7.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.474 * [taylor]: Taking taylor expansion of 0.5 in n 7.474 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.474 * [taylor]: Taking taylor expansion of 1.0 in n 7.474 * [taylor]: Taking taylor expansion of k in n 7.474 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.475 * [taylor]: Taking taylor expansion of 2.0 in n 7.475 * [taylor]: Taking taylor expansion of (* n PI) in n 7.475 * [taylor]: Taking taylor expansion of n in n 7.475 * [taylor]: Taking taylor expansion of PI in n 7.481 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 7.481 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.481 * [taylor]: Taking taylor expansion of k in k 7.482 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 7.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.482 * [taylor]: Taking taylor expansion of 0.5 in k 7.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.482 * [taylor]: Taking taylor expansion of 1.0 in k 7.482 * [taylor]: Taking taylor expansion of k in k 7.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.482 * [taylor]: Taking taylor expansion of 2.0 in k 7.482 * [taylor]: Taking taylor expansion of (* n PI) in k 7.482 * [taylor]: Taking taylor expansion of n in k 7.482 * [taylor]: Taking taylor expansion of PI in k 7.484 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 7.484 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.484 * [taylor]: Taking taylor expansion of k in k 7.485 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 7.485 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.485 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.485 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.485 * [taylor]: Taking taylor expansion of 0.5 in k 7.485 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.485 * [taylor]: Taking taylor expansion of 1.0 in k 7.485 * [taylor]: Taking taylor expansion of k in k 7.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.485 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.485 * [taylor]: Taking taylor expansion of 2.0 in k 7.485 * [taylor]: Taking taylor expansion of (* n PI) in k 7.485 * [taylor]: Taking taylor expansion of n in k 7.485 * [taylor]: Taking taylor expansion of PI in k 7.487 * [taylor]: Taking taylor expansion of 0 in n 7.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 7.494 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 7.495 * [taylor]: Taking taylor expansion of +nan.0 in n 7.495 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 7.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 7.495 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.495 * [taylor]: Taking taylor expansion of 0.5 in n 7.495 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.495 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.495 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.495 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.495 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.495 * [taylor]: Taking taylor expansion of 1.0 in n 7.495 * [taylor]: Taking taylor expansion of (log PI) in n 7.495 * [taylor]: Taking taylor expansion of PI in n 7.497 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.497 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.497 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.497 * [taylor]: Taking taylor expansion of 1.0 in n 7.497 * [taylor]: Taking taylor expansion of (log n) in n 7.497 * [taylor]: Taking taylor expansion of n in n 7.497 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.497 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.497 * [taylor]: Taking taylor expansion of 1.0 in n 7.497 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.498 * [taylor]: Taking taylor expansion of 2.0 in n 7.527 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 7.527 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 7.527 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 7.527 * [taylor]: Taking taylor expansion of +nan.0 in n 7.527 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 7.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 7.527 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.527 * [taylor]: Taking taylor expansion of 0.5 in n 7.527 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.527 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.527 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.527 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.527 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.528 * [taylor]: Taking taylor expansion of 1.0 in n 7.528 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.528 * [taylor]: Taking taylor expansion of 2.0 in n 7.529 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 7.530 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.530 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.530 * [taylor]: Taking taylor expansion of 1.0 in n 7.530 * [taylor]: Taking taylor expansion of (log n) in n 7.530 * [taylor]: Taking taylor expansion of n in n 7.530 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.530 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.530 * [taylor]: Taking taylor expansion of 1.0 in n 7.530 * [taylor]: Taking taylor expansion of (log PI) in n 7.530 * [taylor]: Taking taylor expansion of PI in n 7.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 7.537 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 7.537 * [taylor]: Taking taylor expansion of +nan.0 in n 7.537 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 7.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.537 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.537 * [taylor]: Taking taylor expansion of 2.0 in n 7.537 * [taylor]: Taking taylor expansion of (* n PI) in n 7.537 * [taylor]: Taking taylor expansion of n in n 7.537 * [taylor]: Taking taylor expansion of PI in n 7.540 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 7.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 7.540 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.540 * [taylor]: Taking taylor expansion of 0.5 in n 7.540 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.540 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.541 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.541 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.541 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.541 * [taylor]: Taking taylor expansion of 1.0 in n 7.541 * [taylor]: Taking taylor expansion of (log PI) in n 7.541 * [taylor]: Taking taylor expansion of PI in n 7.542 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.543 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.543 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.543 * [taylor]: Taking taylor expansion of 1.0 in n 7.543 * [taylor]: Taking taylor expansion of (log n) in n 7.543 * [taylor]: Taking taylor expansion of n in n 7.543 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.543 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.543 * [taylor]: Taking taylor expansion of 1.0 in n 7.543 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.543 * [taylor]: Taking taylor expansion of 2.0 in n 7.604 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))) in n 7.604 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) in n 7.604 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 7.604 * [taylor]: Taking taylor expansion of +nan.0 in n 7.604 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 7.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 7.604 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.604 * [taylor]: Taking taylor expansion of 0.5 in n 7.604 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.604 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.604 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.604 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.604 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.604 * [taylor]: Taking taylor expansion of 1.0 in n 7.604 * [taylor]: Taking taylor expansion of (log PI) in n 7.604 * [taylor]: Taking taylor expansion of PI in n 7.606 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.606 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.606 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.606 * [taylor]: Taking taylor expansion of 1.0 in n 7.606 * [taylor]: Taking taylor expansion of (log n) in n 7.606 * [taylor]: Taking taylor expansion of n in n 7.612 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.612 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.612 * [taylor]: Taking taylor expansion of 1.0 in n 7.612 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.612 * [taylor]: Taking taylor expansion of 2.0 in n 7.618 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n 7.618 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n 7.619 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 7.619 * [taylor]: Taking taylor expansion of +nan.0 in n 7.619 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 7.619 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 7.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 7.619 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 7.619 * [taylor]: Taking taylor expansion of 0.5 in n 7.619 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 7.619 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 7.619 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 7.619 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.619 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.619 * [taylor]: Taking taylor expansion of 1.0 in n 7.619 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.619 * [taylor]: Taking taylor expansion of 2.0 in n 7.621 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 7.621 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.621 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.621 * [taylor]: Taking taylor expansion of 1.0 in n 7.621 * [taylor]: Taking taylor expansion of (log PI) in n 7.621 * [taylor]: Taking taylor expansion of PI in n 7.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.623 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.623 * [taylor]: Taking taylor expansion of 1.0 in n 7.623 * [taylor]: Taking taylor expansion of (log n) in n 7.623 * [taylor]: Taking taylor expansion of n in n 7.628 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 7.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.628 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.628 * [taylor]: Taking taylor expansion of 2.0 in n 7.628 * [taylor]: Taking taylor expansion of (* n PI) in n 7.628 * [taylor]: Taking taylor expansion of n in n 7.628 * [taylor]: Taking taylor expansion of PI in n 7.632 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 7.632 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 7.632 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 7.632 * [taylor]: Taking taylor expansion of +nan.0 in n 7.632 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 7.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.632 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.632 * [taylor]: Taking taylor expansion of 2.0 in n 7.633 * [taylor]: Taking taylor expansion of (* n PI) in n 7.633 * [taylor]: Taking taylor expansion of n in n 7.633 * [taylor]: Taking taylor expansion of PI in n 7.636 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 7.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 7.636 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.636 * [taylor]: Taking taylor expansion of 0.5 in n 7.636 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.636 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.636 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.636 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.636 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.636 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.636 * [taylor]: Taking taylor expansion of 1.0 in n 7.636 * [taylor]: Taking taylor expansion of (log PI) in n 7.636 * [taylor]: Taking taylor expansion of PI in n 7.638 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.638 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.638 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.638 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.638 * [taylor]: Taking taylor expansion of 1.0 in n 7.638 * [taylor]: Taking taylor expansion of (log n) in n 7.638 * [taylor]: Taking taylor expansion of n in n 7.639 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.639 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.639 * [taylor]: Taking taylor expansion of 1.0 in n 7.639 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.639 * [taylor]: Taking taylor expansion of 2.0 in n 7.645 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 7.645 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 7.645 * [taylor]: Taking taylor expansion of +nan.0 in n 7.645 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 7.645 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 7.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.645 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.645 * [taylor]: Taking taylor expansion of 2.0 in n 7.646 * [taylor]: Taking taylor expansion of (* n PI) in n 7.646 * [taylor]: Taking taylor expansion of n in n 7.646 * [taylor]: Taking taylor expansion of PI in n 7.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 7.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 7.650 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.650 * [taylor]: Taking taylor expansion of 0.5 in n 7.650 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.650 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.650 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.650 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.650 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.650 * [taylor]: Taking taylor expansion of 1.0 in n 7.650 * [taylor]: Taking taylor expansion of (log PI) in n 7.650 * [taylor]: Taking taylor expansion of PI in n 7.652 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.652 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.652 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.652 * [taylor]: Taking taylor expansion of 1.0 in n 7.652 * [taylor]: Taking taylor expansion of (log n) in n 7.652 * [taylor]: Taking taylor expansion of n in n 7.652 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.653 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.653 * [taylor]: Taking taylor expansion of 1.0 in n 7.653 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.653 * [taylor]: Taking taylor expansion of 2.0 in n 7.784 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 7.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 7.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.784 * [taylor]: Taking taylor expansion of k in n 7.784 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 7.784 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.784 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.784 * [taylor]: Taking taylor expansion of 0.5 in n 7.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.784 * [taylor]: Taking taylor expansion of 1.0 in n 7.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.785 * [taylor]: Taking taylor expansion of k in n 7.785 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.785 * [taylor]: Taking taylor expansion of 2.0 in n 7.785 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.785 * [taylor]: Taking taylor expansion of PI in n 7.785 * [taylor]: Taking taylor expansion of n in n 7.790 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 7.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.791 * [taylor]: Taking taylor expansion of k in k 7.792 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 7.792 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.792 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.792 * [taylor]: Taking taylor expansion of 0.5 in k 7.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.792 * [taylor]: Taking taylor expansion of 1.0 in k 7.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.792 * [taylor]: Taking taylor expansion of k in k 7.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.797 * [taylor]: Taking taylor expansion of 2.0 in k 7.797 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.797 * [taylor]: Taking taylor expansion of PI in k 7.797 * [taylor]: Taking taylor expansion of n in k 7.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 7.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.799 * [taylor]: Taking taylor expansion of k in k 7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 7.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.801 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.801 * [taylor]: Taking taylor expansion of 0.5 in k 7.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.801 * [taylor]: Taking taylor expansion of 1.0 in k 7.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.801 * [taylor]: Taking taylor expansion of k in k 7.801 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.801 * [taylor]: Taking taylor expansion of 2.0 in k 7.801 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.801 * [taylor]: Taking taylor expansion of PI in k 7.801 * [taylor]: Taking taylor expansion of n in k 7.803 * [taylor]: Taking taylor expansion of 0 in n 7.803 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 7.803 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 7.803 * [taylor]: Taking taylor expansion of +nan.0 in n 7.804 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 7.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 7.804 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 7.804 * [taylor]: Taking taylor expansion of 0.5 in n 7.804 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 7.804 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.804 * [taylor]: Taking taylor expansion of 2.0 in n 7.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.804 * [taylor]: Taking taylor expansion of PI in n 7.804 * [taylor]: Taking taylor expansion of n in n 7.805 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.805 * [taylor]: Taking taylor expansion of 1.0 in n 7.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.805 * [taylor]: Taking taylor expansion of k in n 7.817 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 7.817 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 7.817 * [taylor]: Taking taylor expansion of +nan.0 in n 7.817 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 7.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 7.817 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 7.817 * [taylor]: Taking taylor expansion of 0.5 in n 7.817 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 7.817 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.817 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.817 * [taylor]: Taking taylor expansion of 2.0 in n 7.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.817 * [taylor]: Taking taylor expansion of PI in n 7.817 * [taylor]: Taking taylor expansion of n in n 7.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.818 * [taylor]: Taking taylor expansion of 1.0 in n 7.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.818 * [taylor]: Taking taylor expansion of k in n 7.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 7.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 7.842 * [taylor]: Taking taylor expansion of +nan.0 in n 7.842 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 7.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 7.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 7.842 * [taylor]: Taking taylor expansion of 0.5 in n 7.842 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 7.842 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.842 * [taylor]: Taking taylor expansion of 2.0 in n 7.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.842 * [taylor]: Taking taylor expansion of PI in n 7.842 * [taylor]: Taking taylor expansion of n in n 7.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.843 * [taylor]: Taking taylor expansion of 1.0 in n 7.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.843 * [taylor]: Taking taylor expansion of k in n 7.854 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 7.854 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 7.854 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 7.854 * [taylor]: Taking taylor expansion of (/ -1 k) in n 7.854 * [taylor]: Taking taylor expansion of -1 in n 7.854 * [taylor]: Taking taylor expansion of k in n 7.855 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.855 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.855 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.855 * [taylor]: Taking taylor expansion of 0.5 in n 7.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.855 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.855 * [taylor]: Taking taylor expansion of k in n 7.855 * [taylor]: Taking taylor expansion of 1.0 in n 7.855 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.855 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.855 * [taylor]: Taking taylor expansion of -2.0 in n 7.855 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.855 * [taylor]: Taking taylor expansion of PI in n 7.855 * [taylor]: Taking taylor expansion of n in n 7.860 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 7.860 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.860 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.860 * [taylor]: Taking taylor expansion of -1 in k 7.860 * [taylor]: Taking taylor expansion of k in k 7.862 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.862 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.862 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.862 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.862 * [taylor]: Taking taylor expansion of 0.5 in k 7.862 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.862 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.862 * [taylor]: Taking taylor expansion of k in k 7.862 * [taylor]: Taking taylor expansion of 1.0 in k 7.862 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.862 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.862 * [taylor]: Taking taylor expansion of -2.0 in k 7.862 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.862 * [taylor]: Taking taylor expansion of PI in k 7.863 * [taylor]: Taking taylor expansion of n in k 7.863 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 7.864 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.864 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.864 * [taylor]: Taking taylor expansion of -1 in k 7.864 * [taylor]: Taking taylor expansion of k in k 7.865 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.865 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.865 * [taylor]: Taking taylor expansion of 0.5 in k 7.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.865 * [taylor]: Taking taylor expansion of k in k 7.865 * [taylor]: Taking taylor expansion of 1.0 in k 7.865 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.865 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.865 * [taylor]: Taking taylor expansion of -2.0 in k 7.866 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.866 * [taylor]: Taking taylor expansion of PI in k 7.866 * [taylor]: Taking taylor expansion of n in k 7.867 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 7.867 * [taylor]: Taking taylor expansion of +nan.0 in n 7.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 7.867 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 7.867 * [taylor]: Taking taylor expansion of 0.5 in n 7.867 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 7.867 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.867 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.867 * [taylor]: Taking taylor expansion of k in n 7.867 * [taylor]: Taking taylor expansion of 1.0 in n 7.867 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.867 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.867 * [taylor]: Taking taylor expansion of -2.0 in n 7.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.867 * [taylor]: Taking taylor expansion of PI in n 7.867 * [taylor]: Taking taylor expansion of n in n 7.877 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 7.877 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 7.877 * [taylor]: Taking taylor expansion of +nan.0 in n 7.877 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 7.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 7.877 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 7.877 * [taylor]: Taking taylor expansion of 0.5 in n 7.877 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 7.877 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.877 * [taylor]: Taking taylor expansion of k in n 7.877 * [taylor]: Taking taylor expansion of 1.0 in n 7.877 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.877 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.877 * [taylor]: Taking taylor expansion of -2.0 in n 7.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.877 * [taylor]: Taking taylor expansion of PI in n 7.877 * [taylor]: Taking taylor expansion of n in n 7.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 7.906 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 7.906 * [taylor]: Taking taylor expansion of +nan.0 in n 7.906 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 7.906 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 7.906 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 7.906 * [taylor]: Taking taylor expansion of 0.5 in n 7.906 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 7.906 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.906 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.906 * [taylor]: Taking taylor expansion of k in n 7.906 * [taylor]: Taking taylor expansion of 1.0 in n 7.906 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.906 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.906 * [taylor]: Taking taylor expansion of -2.0 in n 7.906 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.906 * [taylor]: Taking taylor expansion of PI in n 7.906 * [taylor]: Taking taylor expansion of n in n 7.918 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.919 * [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 7.919 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 7.919 * [taylor]: Taking taylor expansion of 1.0 in n 7.919 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 7.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.919 * [taylor]: Taking taylor expansion of k in n 7.920 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.920 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.920 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.920 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.920 * [taylor]: Taking taylor expansion of 0.5 in n 7.920 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.920 * [taylor]: Taking taylor expansion of 1.0 in n 7.920 * [taylor]: Taking taylor expansion of k in n 7.920 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.920 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.920 * [taylor]: Taking taylor expansion of 2.0 in n 7.920 * [taylor]: Taking taylor expansion of (* n PI) in n 7.920 * [taylor]: Taking taylor expansion of n in n 7.920 * [taylor]: Taking taylor expansion of PI in n 7.926 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 7.927 * [taylor]: Taking taylor expansion of 1.0 in k 7.927 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 7.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.927 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.927 * [taylor]: Taking taylor expansion of k in k 7.928 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.928 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.928 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.928 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.928 * [taylor]: Taking taylor expansion of 0.5 in k 7.928 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.928 * [taylor]: Taking taylor expansion of 1.0 in k 7.928 * [taylor]: Taking taylor expansion of k in k 7.928 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.928 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.928 * [taylor]: Taking taylor expansion of 2.0 in k 7.928 * [taylor]: Taking taylor expansion of (* n PI) in k 7.928 * [taylor]: Taking taylor expansion of n in k 7.928 * [taylor]: Taking taylor expansion of PI in k 7.930 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 7.930 * [taylor]: Taking taylor expansion of 1.0 in k 7.930 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 7.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.930 * [taylor]: Taking taylor expansion of k in k 7.931 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.931 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.931 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.932 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.932 * [taylor]: Taking taylor expansion of 0.5 in k 7.932 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.932 * [taylor]: Taking taylor expansion of 1.0 in k 7.932 * [taylor]: Taking taylor expansion of k in k 7.932 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.932 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.932 * [taylor]: Taking taylor expansion of 2.0 in k 7.932 * [taylor]: Taking taylor expansion of (* n PI) in k 7.932 * [taylor]: Taking taylor expansion of n in k 7.932 * [taylor]: Taking taylor expansion of PI in k 7.933 * [taylor]: Taking taylor expansion of 0 in n 7.940 * [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 7.940 * [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 7.940 * [taylor]: Taking taylor expansion of +nan.0 in n 7.940 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.940 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.940 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.940 * [taylor]: Taking taylor expansion of 0.5 in n 7.940 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.940 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.940 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.940 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.940 * [taylor]: Taking taylor expansion of 1.0 in n 7.940 * [taylor]: Taking taylor expansion of (log PI) in n 7.940 * [taylor]: Taking taylor expansion of PI in n 7.942 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.942 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.942 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.942 * [taylor]: Taking taylor expansion of 1.0 in n 7.942 * [taylor]: Taking taylor expansion of (log n) in n 7.942 * [taylor]: Taking taylor expansion of n in n 7.943 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.943 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.943 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.943 * [taylor]: Taking taylor expansion of 1.0 in n 7.943 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.943 * [taylor]: Taking taylor expansion of 2.0 in n 7.974 * [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 7.974 * [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 7.974 * [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 7.974 * [taylor]: Taking taylor expansion of +nan.0 in n 7.974 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.974 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.974 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.974 * [taylor]: Taking taylor expansion of 0.5 in n 7.974 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.974 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.974 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.974 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.974 * [taylor]: Taking taylor expansion of 1.0 in n 7.974 * [taylor]: Taking taylor expansion of (log PI) in n 7.974 * [taylor]: Taking taylor expansion of PI in n 7.976 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 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 7.977 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.977 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.977 * [taylor]: Taking taylor expansion of 1.0 in n 7.977 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.977 * [taylor]: Taking taylor expansion of 2.0 in n 7.983 * [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 7.983 * [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 7.983 * [taylor]: Taking taylor expansion of +nan.0 in n 7.983 * [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 7.983 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 7.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 7.983 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 7.983 * [taylor]: Taking taylor expansion of 0.5 in n 7.983 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 7.983 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 7.983 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.983 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.983 * [taylor]: Taking taylor expansion of 1.0 in n 7.983 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.983 * [taylor]: Taking taylor expansion of 2.0 in n 7.985 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 7.985 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.985 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.985 * [taylor]: Taking taylor expansion of 1.0 in n 7.985 * [taylor]: Taking taylor expansion of (log PI) in n 7.985 * [taylor]: Taking taylor expansion of PI in n 7.987 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.987 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.987 * [taylor]: Taking taylor expansion of 1.0 in n 7.987 * [taylor]: Taking taylor expansion of (log n) in n 7.987 * [taylor]: Taking taylor expansion of n in n 7.992 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.992 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.992 * [taylor]: Taking taylor expansion of 2.0 in n 7.992 * [taylor]: Taking taylor expansion of (* n PI) in n 7.992 * [taylor]: Taking taylor expansion of n in n 7.992 * [taylor]: Taking taylor expansion of PI in n 8.049 * [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 8.049 * [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 8.049 * [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 8.049 * [taylor]: Taking taylor expansion of +nan.0 in n 8.049 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 8.049 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 8.049 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 8.049 * [taylor]: Taking taylor expansion of 0.5 in n 8.050 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 8.050 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 8.050 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.050 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.050 * [taylor]: Taking taylor expansion of 1.0 in n 8.050 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.050 * [taylor]: Taking taylor expansion of 2.0 in n 8.051 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 8.052 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.052 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.052 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.052 * [taylor]: Taking taylor expansion of 1.0 in n 8.052 * [taylor]: Taking taylor expansion of (log n) in n 8.052 * [taylor]: Taking taylor expansion of n in n 8.052 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.052 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.052 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.052 * [taylor]: Taking taylor expansion of 1.0 in n 8.052 * [taylor]: Taking taylor expansion of (log PI) in n 8.052 * [taylor]: Taking taylor expansion of PI in n 8.058 * [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 8.058 * [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 8.058 * [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 8.058 * [taylor]: Taking taylor expansion of +nan.0 in n 8.058 * [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 8.058 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 8.058 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 8.058 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 8.058 * [taylor]: Taking taylor expansion of 0.5 in n 8.058 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 8.058 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 8.058 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.058 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.058 * [taylor]: Taking taylor expansion of 1.0 in n 8.058 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.058 * [taylor]: Taking taylor expansion of 2.0 in n 8.060 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 8.060 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.060 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.060 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.060 * [taylor]: Taking taylor expansion of 1.0 in n 8.060 * [taylor]: Taking taylor expansion of (log PI) in n 8.060 * [taylor]: Taking taylor expansion of PI in n 8.062 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.062 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.062 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.062 * [taylor]: Taking taylor expansion of 1.0 in n 8.062 * [taylor]: Taking taylor expansion of (log n) in n 8.062 * [taylor]: Taking taylor expansion of n in n 8.066 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.067 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.067 * [taylor]: Taking taylor expansion of 2.0 in n 8.067 * [taylor]: Taking taylor expansion of (* n PI) in n 8.067 * [taylor]: Taking taylor expansion of n in n 8.067 * [taylor]: Taking taylor expansion of PI in n 8.070 * [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 8.070 * [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 8.070 * [taylor]: Taking taylor expansion of +nan.0 in n 8.070 * [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 8.070 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 8.070 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 8.070 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 8.070 * [taylor]: Taking taylor expansion of 0.5 in n 8.070 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 8.070 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 8.070 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.070 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.070 * [taylor]: Taking taylor expansion of 1.0 in n 8.070 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.070 * [taylor]: Taking taylor expansion of 2.0 in n 8.072 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 8.072 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.072 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.072 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.072 * [taylor]: Taking taylor expansion of 1.0 in n 8.072 * [taylor]: Taking taylor expansion of (log PI) in n 8.072 * [taylor]: Taking taylor expansion of PI in n 8.074 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.074 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.074 * [taylor]: Taking taylor expansion of 1.0 in n 8.074 * [taylor]: Taking taylor expansion of (log n) in n 8.074 * [taylor]: Taking taylor expansion of n in n 8.079 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 8.079 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.079 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.079 * [taylor]: Taking taylor expansion of 2.0 in n 8.079 * [taylor]: Taking taylor expansion of (* n PI) in n 8.079 * [taylor]: Taking taylor expansion of n in n 8.079 * [taylor]: Taking taylor expansion of PI in n 8.161 * [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 8.161 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 8.161 * [taylor]: Taking taylor expansion of 1.0 in n 8.161 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.161 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.161 * [taylor]: Taking taylor expansion of k in n 8.161 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.161 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.161 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.161 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.161 * [taylor]: Taking taylor expansion of 0.5 in n 8.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.161 * [taylor]: Taking taylor expansion of 1.0 in n 8.161 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.161 * [taylor]: Taking taylor expansion of k in n 8.161 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.161 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.161 * [taylor]: Taking taylor expansion of 2.0 in n 8.161 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.161 * [taylor]: Taking taylor expansion of PI in n 8.161 * [taylor]: Taking taylor expansion of n in n 8.165 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.165 * [taylor]: Taking taylor expansion of 1.0 in k 8.165 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.165 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.165 * [taylor]: Taking taylor expansion of k in k 8.166 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.166 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.166 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.166 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.166 * [taylor]: Taking taylor expansion of 0.5 in k 8.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.166 * [taylor]: Taking taylor expansion of 1.0 in k 8.166 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.166 * [taylor]: Taking taylor expansion of k in k 8.167 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.167 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.167 * [taylor]: Taking taylor expansion of 2.0 in k 8.167 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.167 * [taylor]: Taking taylor expansion of PI in k 8.167 * [taylor]: Taking taylor expansion of n in k 8.168 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.168 * [taylor]: Taking taylor expansion of 1.0 in k 8.168 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.168 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.168 * [taylor]: Taking taylor expansion of k in k 8.169 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.169 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.169 * [taylor]: Taking taylor expansion of 0.5 in k 8.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.169 * [taylor]: Taking taylor expansion of 1.0 in k 8.169 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.169 * [taylor]: Taking taylor expansion of k in k 8.169 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.169 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.169 * [taylor]: Taking taylor expansion of 2.0 in k 8.169 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.169 * [taylor]: Taking taylor expansion of PI in k 8.169 * [taylor]: Taking taylor expansion of n in k 8.171 * [taylor]: Taking taylor expansion of 0 in n 8.172 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.172 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.172 * [taylor]: Taking taylor expansion of +nan.0 in n 8.172 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.172 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.172 * [taylor]: Taking taylor expansion of 0.5 in n 8.172 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.172 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.172 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.172 * [taylor]: Taking taylor expansion of 2.0 in n 8.172 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.172 * [taylor]: Taking taylor expansion of PI in n 8.172 * [taylor]: Taking taylor expansion of n in n 8.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.173 * [taylor]: Taking taylor expansion of 1.0 in n 8.173 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.173 * [taylor]: Taking taylor expansion of k in n 8.182 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.182 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.182 * [taylor]: Taking taylor expansion of +nan.0 in n 8.182 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.182 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.182 * [taylor]: Taking taylor expansion of 0.5 in n 8.182 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.182 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.182 * [taylor]: Taking taylor expansion of 2.0 in n 8.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.182 * [taylor]: Taking taylor expansion of PI in n 8.182 * [taylor]: Taking taylor expansion of n in n 8.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.183 * [taylor]: Taking taylor expansion of 1.0 in n 8.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.183 * [taylor]: Taking taylor expansion of k in n 8.205 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 8.205 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 8.205 * [taylor]: Taking taylor expansion of +nan.0 in n 8.205 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 8.205 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 8.205 * [taylor]: Taking taylor expansion of 0.5 in n 8.205 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 8.205 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.205 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.205 * [taylor]: Taking taylor expansion of 2.0 in n 8.205 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.205 * [taylor]: Taking taylor expansion of PI in n 8.205 * [taylor]: Taking taylor expansion of n in n 8.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.207 * [taylor]: Taking taylor expansion of 1.0 in n 8.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.207 * [taylor]: Taking taylor expansion of k in n 8.216 * [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 8.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 8.216 * [taylor]: Taking taylor expansion of 1.0 in n 8.216 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 8.216 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.216 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.216 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.216 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.216 * [taylor]: Taking taylor expansion of 0.5 in n 8.216 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.216 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.216 * [taylor]: Taking taylor expansion of k in n 8.216 * [taylor]: Taking taylor expansion of 1.0 in n 8.216 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.216 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.216 * [taylor]: Taking taylor expansion of -2.0 in n 8.216 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.216 * [taylor]: Taking taylor expansion of PI in n 8.216 * [taylor]: Taking taylor expansion of n in n 8.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.220 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.220 * [taylor]: Taking taylor expansion of -1 in n 8.220 * [taylor]: Taking taylor expansion of k in n 8.221 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.221 * [taylor]: Taking taylor expansion of 1.0 in k 8.221 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.221 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.221 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.221 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.221 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.221 * [taylor]: Taking taylor expansion of 0.5 in k 8.221 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.221 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.221 * [taylor]: Taking taylor expansion of k in k 8.221 * [taylor]: Taking taylor expansion of 1.0 in k 8.221 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.221 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.221 * [taylor]: Taking taylor expansion of -2.0 in k 8.221 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.221 * [taylor]: Taking taylor expansion of PI in k 8.221 * [taylor]: Taking taylor expansion of n in k 8.222 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.222 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.222 * [taylor]: Taking taylor expansion of -1 in k 8.222 * [taylor]: Taking taylor expansion of k in k 8.224 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.224 * [taylor]: Taking taylor expansion of 1.0 in k 8.224 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.224 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.224 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.224 * [taylor]: Taking taylor expansion of 0.5 in k 8.224 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.224 * [taylor]: Taking taylor expansion of k in k 8.224 * [taylor]: Taking taylor expansion of 1.0 in k 8.224 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.224 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.224 * [taylor]: Taking taylor expansion of -2.0 in k 8.224 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.224 * [taylor]: Taking taylor expansion of PI in k 8.224 * [taylor]: Taking taylor expansion of n in k 8.225 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.225 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.225 * [taylor]: Taking taylor expansion of -1 in k 8.225 * [taylor]: Taking taylor expansion of k in k 8.227 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 8.227 * [taylor]: Taking taylor expansion of +nan.0 in n 8.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.227 * [taylor]: Taking taylor expansion of 0.5 in n 8.227 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.227 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.227 * [taylor]: Taking taylor expansion of k in n 8.227 * [taylor]: Taking taylor expansion of 1.0 in n 8.227 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.227 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.227 * [taylor]: Taking taylor expansion of -2.0 in n 8.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.227 * [taylor]: Taking taylor expansion of PI in n 8.227 * [taylor]: Taking taylor expansion of n in n 8.236 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 8.236 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 8.236 * [taylor]: Taking taylor expansion of +nan.0 in n 8.236 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.236 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.236 * [taylor]: Taking taylor expansion of 0.5 in n 8.236 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.236 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.236 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.236 * [taylor]: Taking taylor expansion of k in n 8.236 * [taylor]: Taking taylor expansion of 1.0 in n 8.236 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.236 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.236 * [taylor]: Taking taylor expansion of -2.0 in n 8.236 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.236 * [taylor]: Taking taylor expansion of PI in n 8.236 * [taylor]: Taking taylor expansion of n in n 8.255 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 8.255 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 8.255 * [taylor]: Taking taylor expansion of +nan.0 in n 8.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 8.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 8.255 * [taylor]: Taking taylor expansion of 0.5 in n 8.255 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 8.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.255 * [taylor]: Taking taylor expansion of k in n 8.255 * [taylor]: Taking taylor expansion of 1.0 in n 8.255 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.255 * [taylor]: Taking taylor expansion of -2.0 in n 8.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.255 * [taylor]: Taking taylor expansion of PI in n 8.255 * [taylor]: Taking taylor expansion of n in n 8.264 * * * [progress]: simplifying candidates 8.270 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (expm1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (* (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)))) (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 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8.823 * * [simplify]: iteration done : 5001 enodes (cost 7649 ) 8.826 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (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)) 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n) 2) (exp (* 0.5 (log (* (* 2.0 PI) n))))) (pow k 2)) (fma 0.25 (* (* (log (* 2.0 PI)) (* (exp (* 0.5 (log (* (* 2.0 PI) n)))) (log n))) (pow k 2)) (exp (* 0.5 (log (* (* 2.0 PI) n))))))) (* 0.5 (+ (* (* k (log (* 2.0 PI))) (exp (* 0.5 (log (* (* 2.0 PI) n))))) (* (* (exp (* 0.5 (log (* (* 2.0 PI) n)))) (log n)) k)))) (exp (* (* 0.5 (- (log (* 2.0 PI)) (- (log 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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (fma +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (fma +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (- (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* k (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (fma +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)) (- (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)))))))))))))))))) (- (fma +nan.0 (/ (exp (- (* (* 0.5 (- (log (* 2.0 PI)) (- (log n)))) (- 1.0 k)))) k) (- (fma +nan.0 (/ (exp (- (* (* 0.5 (- (log (* 2.0 PI)) (- (log n)))) (- 1.0 k)))) (pow k 2)) (* +nan.0 (- (exp (- (* (* 0.5 (- (log (* 2.0 PI)) (- (log n)))) (- 1.0 k)))))))))) (- (- (* (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) +nan.0) (/ (* (exp (- (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0) (pow k 2))))) (- (- (* +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))) (fma +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 n)))) (- 1.0 k)))) (pow k 3)) (fma +nan.0 (/ (exp (* (* 0.5 (- (log (* 2.0 PI)) (- (log n)))) (- 1.0 k))) k) (* (- +nan.0) (/ (exp (* (* 0.5 (- (log (* 2.0 PI)) (- (log n)))) (- 1.0 k))) (pow k 2)))))) (- (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (- (fma +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)))))))))))) 8.831 * * * [progress]: adding candidates to table 9.634 * * [progress]: iteration 4 / 4 9.634 * * * [progress]: picking best candidate 9.654 * * * * [pick]: Picked # 9.654 * * * [progress]: localizing error 9.669 * * * [progress]: generating rewritten candidates 9.669 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 9.678 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 9.685 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.688 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.948 * * * [progress]: generating series expansions 9.948 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 9.949 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 9.949 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.949 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.949 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.949 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.949 * [taylor]: Taking taylor expansion of 0.5 in k 9.949 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.949 * [taylor]: Taking taylor expansion of 1.0 in k 9.949 * [taylor]: Taking taylor expansion of k in k 9.950 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.950 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.950 * [taylor]: Taking taylor expansion of 2.0 in k 9.950 * [taylor]: Taking taylor expansion of (* n PI) in k 9.950 * [taylor]: Taking taylor expansion of n in k 9.950 * [taylor]: Taking taylor expansion of PI in k 9.951 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.951 * [taylor]: Taking taylor expansion of 0.5 in n 9.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.951 * [taylor]: Taking taylor expansion of 1.0 in n 9.951 * [taylor]: Taking taylor expansion of k in n 9.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.951 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.951 * [taylor]: Taking taylor expansion of 2.0 in n 9.951 * [taylor]: Taking taylor expansion of (* n PI) in n 9.951 * [taylor]: Taking taylor expansion of n in n 9.951 * [taylor]: Taking taylor expansion of PI in n 9.957 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.957 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.957 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.957 * [taylor]: Taking taylor expansion of 0.5 in n 9.957 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.957 * [taylor]: Taking taylor expansion of 1.0 in n 9.957 * [taylor]: Taking taylor expansion of k in n 9.957 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.957 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.957 * [taylor]: Taking taylor expansion of 2.0 in n 9.957 * [taylor]: Taking taylor expansion of (* n PI) in n 9.958 * [taylor]: Taking taylor expansion of n in n 9.958 * [taylor]: Taking taylor expansion of PI in n 9.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 9.964 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 9.964 * [taylor]: Taking taylor expansion of 0.5 in k 9.964 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 9.964 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.964 * [taylor]: Taking taylor expansion of 1.0 in k 9.964 * [taylor]: Taking taylor expansion of k in k 9.964 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.964 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.964 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.964 * [taylor]: Taking taylor expansion of 2.0 in k 9.964 * [taylor]: Taking taylor expansion of PI in k 9.965 * [taylor]: Taking taylor expansion of (log n) in k 9.965 * [taylor]: Taking taylor expansion of n in k 9.975 * [taylor]: Taking taylor expansion of 0 in k 9.992 * [taylor]: Taking taylor expansion of 0 in k 10.011 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 10.011 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.011 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 10.011 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 10.011 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.011 * [taylor]: Taking taylor expansion of 0.5 in k 10.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.011 * [taylor]: Taking taylor expansion of 1.0 in k 10.011 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.012 * [taylor]: Taking taylor expansion of k in k 10.012 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.012 * [taylor]: Taking taylor expansion of 2.0 in k 10.012 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.012 * [taylor]: Taking taylor expansion of PI in k 10.012 * [taylor]: Taking taylor expansion of n in k 10.013 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.013 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 10.013 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 10.013 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.013 * [taylor]: Taking taylor expansion of 0.5 in n 10.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.013 * [taylor]: Taking taylor expansion of 1.0 in n 10.013 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.013 * [taylor]: Taking taylor expansion of k in n 10.013 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.013 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.013 * [taylor]: Taking taylor expansion of 2.0 in n 10.013 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.013 * [taylor]: Taking taylor expansion of PI in n 10.013 * [taylor]: Taking taylor expansion of n in n 10.017 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 10.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 10.017 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.017 * [taylor]: Taking taylor expansion of 0.5 in n 10.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.017 * [taylor]: Taking taylor expansion of 1.0 in n 10.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.017 * [taylor]: Taking taylor expansion of k in n 10.017 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.017 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.017 * [taylor]: Taking taylor expansion of 2.0 in n 10.017 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.017 * [taylor]: Taking taylor expansion of PI in n 10.017 * [taylor]: Taking taylor expansion of n in n 10.021 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 10.021 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 10.021 * [taylor]: Taking taylor expansion of 0.5 in k 10.021 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 10.021 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 10.021 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.021 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.021 * [taylor]: Taking taylor expansion of 2.0 in k 10.021 * [taylor]: Taking taylor expansion of PI in k 10.022 * [taylor]: Taking taylor expansion of (log n) in k 10.022 * [taylor]: Taking taylor expansion of n in k 10.022 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.022 * [taylor]: Taking taylor expansion of 1.0 in k 10.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.023 * [taylor]: Taking taylor expansion of k in k 10.038 * [taylor]: Taking taylor expansion of 0 in k 10.045 * [taylor]: Taking taylor expansion of 0 in k 10.055 * [taylor]: Taking taylor expansion of 0 in k 10.056 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 10.056 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.056 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.056 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.056 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.056 * [taylor]: Taking taylor expansion of 0.5 in k 10.056 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.056 * [taylor]: Taking taylor expansion of k in k 10.057 * [taylor]: Taking taylor expansion of 1.0 in k 10.057 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.057 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.057 * [taylor]: Taking taylor expansion of -2.0 in k 10.057 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.057 * [taylor]: Taking taylor expansion of PI in k 10.057 * [taylor]: Taking taylor expansion of n in k 10.058 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.058 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.058 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.058 * [taylor]: Taking taylor expansion of 0.5 in n 10.058 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.058 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.058 * [taylor]: Taking taylor expansion of k in n 10.058 * [taylor]: Taking taylor expansion of 1.0 in n 10.058 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.058 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.058 * [taylor]: Taking taylor expansion of -2.0 in n 10.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.058 * [taylor]: Taking taylor expansion of PI in n 10.058 * [taylor]: Taking taylor expansion of n in n 10.062 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.062 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.062 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.062 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.062 * [taylor]: Taking taylor expansion of 0.5 in n 10.062 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.062 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.062 * [taylor]: Taking taylor expansion of k in n 10.062 * [taylor]: Taking taylor expansion of 1.0 in n 10.062 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.062 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.062 * [taylor]: Taking taylor expansion of -2.0 in n 10.062 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.062 * [taylor]: Taking taylor expansion of PI in n 10.062 * [taylor]: Taking taylor expansion of n in n 10.066 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 10.066 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 10.066 * [taylor]: Taking taylor expansion of 0.5 in k 10.066 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 10.066 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.066 * [taylor]: Taking taylor expansion of k in k 10.066 * [taylor]: Taking taylor expansion of 1.0 in k 10.066 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 10.066 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 10.066 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 10.066 * [taylor]: Taking taylor expansion of -2.0 in k 10.066 * [taylor]: Taking taylor expansion of PI in k 10.067 * [taylor]: Taking taylor expansion of (log n) in k 10.067 * [taylor]: Taking taylor expansion of n in k 10.076 * [taylor]: Taking taylor expansion of 0 in k 10.083 * [taylor]: Taking taylor expansion of 0 in k 10.093 * [taylor]: Taking taylor expansion of 0 in k 10.094 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 10.094 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.094 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.094 * [taylor]: Taking taylor expansion of 2.0 in n 10.094 * [taylor]: Taking taylor expansion of (* n PI) in n 10.094 * [taylor]: Taking taylor expansion of n in n 10.094 * [taylor]: Taking taylor expansion of PI in n 10.094 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.094 * [taylor]: Taking taylor expansion of 2.0 in n 10.094 * [taylor]: Taking taylor expansion of (* n PI) in n 10.094 * [taylor]: Taking taylor expansion of n in n 10.094 * [taylor]: Taking taylor expansion of PI in n 10.107 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.107 * [taylor]: Taking taylor expansion of 2.0 in n 10.107 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.107 * [taylor]: Taking taylor expansion of PI in n 10.107 * [taylor]: Taking taylor expansion of n in n 10.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.107 * [taylor]: Taking taylor expansion of 2.0 in n 10.107 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.107 * [taylor]: Taking taylor expansion of PI in n 10.107 * [taylor]: Taking taylor expansion of n in n 10.116 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.116 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.116 * [taylor]: Taking taylor expansion of -2.0 in n 10.116 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.116 * [taylor]: Taking taylor expansion of PI in n 10.116 * [taylor]: Taking taylor expansion of n in n 10.123 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.123 * [taylor]: Taking taylor expansion of -2.0 in n 10.123 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.123 * [taylor]: Taking taylor expansion of PI in n 10.123 * [taylor]: Taking taylor expansion of n in n 10.132 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 10.132 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 10.132 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 10.132 * [taylor]: Taking taylor expansion of 1.0 in k 10.132 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 10.132 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 10.132 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 10.132 * [taylor]: Taking taylor expansion of 1/4 in k 10.132 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 10.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.132 * [taylor]: Taking taylor expansion of k in k 10.133 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 10.133 * [taylor]: Taking taylor expansion of 1.0 in k 10.133 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 10.133 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 10.133 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 10.133 * [taylor]: Taking taylor expansion of 1/4 in k 10.133 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 10.133 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.133 * [taylor]: Taking taylor expansion of k in k 10.190 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 10.190 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 10.190 * [taylor]: Taking taylor expansion of 1.0 in k 10.190 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 10.190 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 10.190 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 10.190 * [taylor]: Taking taylor expansion of 1/4 in k 10.190 * [taylor]: Taking taylor expansion of (log k) in k 10.190 * [taylor]: Taking taylor expansion of k in k 10.191 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 10.191 * [taylor]: Taking taylor expansion of 1.0 in k 10.191 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 10.191 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 10.191 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 10.191 * [taylor]: Taking taylor expansion of 1/4 in k 10.191 * [taylor]: Taking taylor expansion of (log k) in k 10.191 * [taylor]: Taking taylor expansion of k in k 10.270 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 10.270 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 10.270 * [taylor]: Taking taylor expansion of 1.0 in k 10.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 10.270 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 10.270 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.270 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.270 * [taylor]: Taking taylor expansion of -1 in k 10.270 * [taylor]: Taking taylor expansion of k in k 10.282 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 10.282 * [taylor]: Taking taylor expansion of 1.0 in k 10.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 10.282 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 10.282 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.282 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.282 * [taylor]: Taking taylor expansion of -1 in k 10.282 * [taylor]: Taking taylor expansion of k in k 10.355 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.355 * [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 10.355 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 10.355 * [taylor]: Taking taylor expansion of 1.0 in n 10.355 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 10.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 10.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.355 * [taylor]: Taking taylor expansion of k in n 10.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 10.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 10.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 10.356 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.356 * [taylor]: Taking taylor expansion of 0.5 in n 10.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.356 * [taylor]: Taking taylor expansion of 1.0 in n 10.356 * [taylor]: Taking taylor expansion of k in n 10.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.356 * [taylor]: Taking taylor expansion of 2.0 in n 10.356 * [taylor]: Taking taylor expansion of (* n PI) in n 10.356 * [taylor]: Taking taylor expansion of n in n 10.356 * [taylor]: Taking taylor expansion of PI in n 10.361 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 10.361 * [taylor]: Taking taylor expansion of 1.0 in k 10.361 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 10.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.361 * [taylor]: Taking taylor expansion of k in k 10.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 10.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 10.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 10.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.363 * [taylor]: Taking taylor expansion of 0.5 in k 10.363 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.363 * [taylor]: Taking taylor expansion of 1.0 in k 10.363 * [taylor]: Taking taylor expansion of k in k 10.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.363 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.363 * [taylor]: Taking taylor expansion of 2.0 in k 10.363 * [taylor]: Taking taylor expansion of (* n PI) in k 10.363 * [taylor]: Taking taylor expansion of n in k 10.363 * [taylor]: Taking taylor expansion of PI in k 10.364 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 10.364 * [taylor]: Taking taylor expansion of 1.0 in k 10.364 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 10.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.364 * [taylor]: Taking taylor expansion of k in k 10.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 10.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 10.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 10.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.366 * [taylor]: Taking taylor expansion of 0.5 in k 10.366 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.366 * [taylor]: Taking taylor expansion of 1.0 in k 10.366 * [taylor]: Taking taylor expansion of k in k 10.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.366 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.366 * [taylor]: Taking taylor expansion of 2.0 in k 10.366 * [taylor]: Taking taylor expansion of (* n PI) in k 10.366 * [taylor]: Taking taylor expansion of n in k 10.366 * [taylor]: Taking taylor expansion of PI in k 10.367 * [taylor]: Taking taylor expansion of 0 in n 10.373 * [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 10.373 * [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 10.373 * [taylor]: Taking taylor expansion of +nan.0 in n 10.373 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.374 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.374 * [taylor]: Taking taylor expansion of 0.5 in n 10.374 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.374 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.374 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.374 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.374 * [taylor]: Taking taylor expansion of 1.0 in n 10.374 * [taylor]: Taking taylor expansion of (log PI) in n 10.374 * [taylor]: Taking taylor expansion of PI in n 10.376 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.376 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.376 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.376 * [taylor]: Taking taylor expansion of 1.0 in n 10.376 * [taylor]: Taking taylor expansion of (log n) in n 10.376 * [taylor]: Taking taylor expansion of n in n 10.376 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.376 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.376 * [taylor]: Taking taylor expansion of 1.0 in n 10.376 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.376 * [taylor]: Taking taylor expansion of 2.0 in n 10.396 * [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 10.396 * [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 10.396 * [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 10.396 * [taylor]: Taking taylor expansion of +nan.0 in n 10.396 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 10.396 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 10.396 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 10.396 * [taylor]: Taking taylor expansion of 0.5 in n 10.396 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 10.396 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 10.396 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.396 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.396 * [taylor]: Taking taylor expansion of 1.0 in n 10.396 * [taylor]: Taking taylor expansion of (log PI) in n 10.396 * [taylor]: Taking taylor expansion of PI in n 10.398 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 10.398 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.398 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.398 * [taylor]: Taking taylor expansion of 1.0 in n 10.398 * [taylor]: Taking taylor expansion of (log n) in n 10.398 * [taylor]: Taking taylor expansion of n in n 10.399 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.399 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.399 * [taylor]: Taking taylor expansion of 1.0 in n 10.399 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.399 * [taylor]: Taking taylor expansion of 2.0 in n 10.404 * [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 10.404 * [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 10.404 * [taylor]: Taking taylor expansion of +nan.0 in n 10.404 * [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 10.404 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.404 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.404 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.404 * [taylor]: Taking taylor expansion of 0.5 in n 10.404 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.404 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.404 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.404 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.404 * [taylor]: Taking taylor expansion of 1.0 in n 10.404 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.404 * [taylor]: Taking taylor expansion of 2.0 in n 10.406 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.406 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.406 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.406 * [taylor]: Taking taylor expansion of 1.0 in n 10.406 * [taylor]: Taking taylor expansion of (log PI) in n 10.406 * [taylor]: Taking taylor expansion of PI in n 10.408 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.408 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.408 * [taylor]: Taking taylor expansion of 1.0 in n 10.408 * [taylor]: Taking taylor expansion of (log n) in n 10.408 * [taylor]: Taking taylor expansion of n in n 10.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.412 * [taylor]: Taking taylor expansion of 2.0 in n 10.412 * [taylor]: Taking taylor expansion of (* n PI) in n 10.412 * [taylor]: Taking taylor expansion of n in n 10.412 * [taylor]: Taking taylor expansion of PI in n 10.499 * [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 10.499 * [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 10.499 * [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 10.499 * [taylor]: Taking taylor expansion of +nan.0 in n 10.499 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 10.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 10.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 10.499 * [taylor]: Taking taylor expansion of 0.5 in n 10.499 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 10.499 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 10.499 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.499 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.499 * [taylor]: Taking taylor expansion of 1.0 in n 10.499 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.499 * [taylor]: Taking taylor expansion of 2.0 in n 10.502 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 10.502 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.502 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.502 * [taylor]: Taking taylor expansion of 1.0 in n 10.502 * [taylor]: Taking taylor expansion of (log n) in n 10.502 * [taylor]: Taking taylor expansion of n in n 10.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.503 * [taylor]: Taking taylor expansion of 1.0 in n 10.503 * [taylor]: Taking taylor expansion of (log PI) in n 10.503 * [taylor]: Taking taylor expansion of PI in n 10.511 * [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 10.511 * [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 10.511 * [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 10.511 * [taylor]: Taking taylor expansion of +nan.0 in n 10.511 * [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 10.511 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.511 * [taylor]: Taking taylor expansion of 0.5 in n 10.511 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.511 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.512 * [taylor]: Taking taylor expansion of 1.0 in n 10.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.512 * [taylor]: Taking taylor expansion of 2.0 in n 10.513 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.514 * [taylor]: Taking taylor expansion of 1.0 in n 10.514 * [taylor]: Taking taylor expansion of (log PI) in n 10.514 * [taylor]: Taking taylor expansion of PI in n 10.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.516 * [taylor]: Taking taylor expansion of 1.0 in n 10.516 * [taylor]: Taking taylor expansion of (log n) in n 10.516 * [taylor]: Taking taylor expansion of n in n 10.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.520 * [taylor]: Taking taylor expansion of 2.0 in n 10.520 * [taylor]: Taking taylor expansion of (* n PI) in n 10.520 * [taylor]: Taking taylor expansion of n in n 10.520 * [taylor]: Taking taylor expansion of PI in n 10.523 * [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 10.523 * [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 10.523 * [taylor]: Taking taylor expansion of +nan.0 in n 10.523 * [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 10.523 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 10.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 10.523 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 10.523 * [taylor]: Taking taylor expansion of 0.5 in n 10.523 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 10.523 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 10.523 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 10.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 10.523 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 10.523 * [taylor]: Taking taylor expansion of 1.0 in n 10.523 * [taylor]: Taking taylor expansion of (log 2.0) in n 10.523 * [taylor]: Taking taylor expansion of 2.0 in n 10.525 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 10.525 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 10.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 10.525 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 10.525 * [taylor]: Taking taylor expansion of 1.0 in n 10.525 * [taylor]: Taking taylor expansion of (log PI) in n 10.525 * [taylor]: Taking taylor expansion of PI in n 10.527 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 10.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 10.527 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 10.527 * [taylor]: Taking taylor expansion of 1.0 in n 10.527 * [taylor]: Taking taylor expansion of (log n) in n 10.527 * [taylor]: Taking taylor expansion of n in n 10.532 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 10.532 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.532 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.532 * [taylor]: Taking taylor expansion of 2.0 in n 10.532 * [taylor]: Taking taylor expansion of (* n PI) in n 10.532 * [taylor]: Taking taylor expansion of n in n 10.532 * [taylor]: Taking taylor expansion of PI in n 10.614 * [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 10.614 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 10.614 * [taylor]: Taking taylor expansion of 1.0 in n 10.614 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 10.614 * [taylor]: Taking taylor expansion of (sqrt k) in n 10.614 * [taylor]: Taking taylor expansion of k in n 10.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 10.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 10.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.615 * [taylor]: Taking taylor expansion of 0.5 in n 10.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.615 * [taylor]: Taking taylor expansion of 1.0 in n 10.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.615 * [taylor]: Taking taylor expansion of k in n 10.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.615 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.615 * [taylor]: Taking taylor expansion of 2.0 in n 10.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.615 * [taylor]: Taking taylor expansion of PI in n 10.615 * [taylor]: Taking taylor expansion of n in n 10.621 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.621 * [taylor]: Taking taylor expansion of 1.0 in k 10.621 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 10.621 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.621 * [taylor]: Taking taylor expansion of k in k 10.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 10.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 10.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.623 * [taylor]: Taking taylor expansion of 0.5 in k 10.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.623 * [taylor]: Taking taylor expansion of 1.0 in k 10.623 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.623 * [taylor]: Taking taylor expansion of k in k 10.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.624 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.624 * [taylor]: Taking taylor expansion of 2.0 in k 10.624 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.624 * [taylor]: Taking taylor expansion of PI in k 10.624 * [taylor]: Taking taylor expansion of n in k 10.625 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.625 * [taylor]: Taking taylor expansion of 1.0 in k 10.625 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 10.625 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.626 * [taylor]: Taking taylor expansion of k in k 10.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 10.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 10.627 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.627 * [taylor]: Taking taylor expansion of 0.5 in k 10.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.627 * [taylor]: Taking taylor expansion of 1.0 in k 10.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.627 * [taylor]: Taking taylor expansion of k in k 10.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.628 * [taylor]: Taking taylor expansion of 2.0 in k 10.628 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.628 * [taylor]: Taking taylor expansion of PI in k 10.628 * [taylor]: Taking taylor expansion of n in k 10.630 * [taylor]: Taking taylor expansion of 0 in n 10.632 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 10.632 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 10.632 * [taylor]: Taking taylor expansion of +nan.0 in n 10.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 10.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 10.632 * [taylor]: Taking taylor expansion of 0.5 in n 10.632 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 10.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.632 * [taylor]: Taking taylor expansion of 2.0 in n 10.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.632 * [taylor]: Taking taylor expansion of PI in n 10.632 * [taylor]: Taking taylor expansion of n in n 10.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.635 * [taylor]: Taking taylor expansion of 1.0 in n 10.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.635 * [taylor]: Taking taylor expansion of k in n 10.646 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 10.646 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 10.646 * [taylor]: Taking taylor expansion of +nan.0 in n 10.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 10.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 10.646 * [taylor]: Taking taylor expansion of 0.5 in n 10.646 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 10.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.646 * [taylor]: Taking taylor expansion of 2.0 in n 10.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.646 * [taylor]: Taking taylor expansion of PI in n 10.646 * [taylor]: Taking taylor expansion of n in n 10.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.652 * [taylor]: Taking taylor expansion of 1.0 in n 10.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.653 * [taylor]: Taking taylor expansion of k in n 10.669 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 10.669 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 10.669 * [taylor]: Taking taylor expansion of +nan.0 in n 10.669 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 10.669 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 10.669 * [taylor]: Taking taylor expansion of 0.5 in n 10.669 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 10.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.670 * [taylor]: Taking taylor expansion of 2.0 in n 10.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.670 * [taylor]: Taking taylor expansion of PI in n 10.670 * [taylor]: Taking taylor expansion of n in n 10.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.671 * [taylor]: Taking taylor expansion of 1.0 in n 10.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.671 * [taylor]: Taking taylor expansion of k in n 10.680 * [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 10.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 10.680 * [taylor]: Taking taylor expansion of 1.0 in n 10.680 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 10.680 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.680 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.680 * [taylor]: Taking taylor expansion of 0.5 in n 10.680 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.680 * [taylor]: Taking taylor expansion of k in n 10.680 * [taylor]: Taking taylor expansion of 1.0 in n 10.680 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.680 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.680 * [taylor]: Taking taylor expansion of -2.0 in n 10.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.680 * [taylor]: Taking taylor expansion of PI in n 10.680 * [taylor]: Taking taylor expansion of n in n 10.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.684 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.684 * [taylor]: Taking taylor expansion of -1 in n 10.684 * [taylor]: Taking taylor expansion of k in n 10.685 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.685 * [taylor]: Taking taylor expansion of 1.0 in k 10.685 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.685 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.685 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.685 * [taylor]: Taking taylor expansion of 0.5 in k 10.685 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.686 * [taylor]: Taking taylor expansion of k in k 10.686 * [taylor]: Taking taylor expansion of 1.0 in k 10.686 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.686 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.686 * [taylor]: Taking taylor expansion of -2.0 in k 10.686 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.686 * [taylor]: Taking taylor expansion of PI in k 10.686 * [taylor]: Taking taylor expansion of n in k 10.687 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.687 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.687 * [taylor]: Taking taylor expansion of -1 in k 10.687 * [taylor]: Taking taylor expansion of k in k 10.688 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.688 * [taylor]: Taking taylor expansion of 1.0 in k 10.688 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.688 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.688 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.688 * [taylor]: Taking taylor expansion of 0.5 in k 10.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.688 * [taylor]: Taking taylor expansion of k in k 10.689 * [taylor]: Taking taylor expansion of 1.0 in k 10.689 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.689 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.689 * [taylor]: Taking taylor expansion of -2.0 in k 10.689 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.689 * [taylor]: Taking taylor expansion of PI in k 10.689 * [taylor]: Taking taylor expansion of n in k 10.690 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.690 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.690 * [taylor]: Taking taylor expansion of -1 in k 10.690 * [taylor]: Taking taylor expansion of k in k 10.691 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 10.691 * [taylor]: Taking taylor expansion of +nan.0 in n 10.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.691 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.691 * [taylor]: Taking taylor expansion of 0.5 in n 10.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.691 * [taylor]: Taking taylor expansion of k in n 10.691 * [taylor]: Taking taylor expansion of 1.0 in n 10.691 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.691 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.691 * [taylor]: Taking taylor expansion of -2.0 in n 10.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.691 * [taylor]: Taking taylor expansion of PI in n 10.692 * [taylor]: Taking taylor expansion of n in n 10.700 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 10.701 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 10.701 * [taylor]: Taking taylor expansion of +nan.0 in n 10.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.701 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.701 * [taylor]: Taking taylor expansion of 0.5 in n 10.701 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.701 * [taylor]: Taking taylor expansion of k in n 10.701 * [taylor]: Taking taylor expansion of 1.0 in n 10.701 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.701 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.701 * [taylor]: Taking taylor expansion of -2.0 in n 10.701 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.701 * [taylor]: Taking taylor expansion of PI in n 10.701 * [taylor]: Taking taylor expansion of n in n 10.719 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 10.719 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 10.719 * [taylor]: Taking taylor expansion of +nan.0 in n 10.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.719 * [taylor]: Taking taylor expansion of 0.5 in n 10.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.719 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.719 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.719 * [taylor]: Taking taylor expansion of k in n 10.719 * [taylor]: Taking taylor expansion of 1.0 in n 10.719 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.719 * [taylor]: Taking taylor expansion of -2.0 in n 10.719 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.719 * [taylor]: Taking taylor expansion of PI in n 10.719 * [taylor]: Taking taylor expansion of n in n 10.729 * * * [progress]: simplifying candidates 10.778 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 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) (expm1 (/ 1.0 (sqrt (sqrt k)))) (log1p (/ 1.0 (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 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(sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (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 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (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 (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (/ 1.0 (sqrt (sqrt k)))) (- (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt (/ 1.0 (sqrt 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(/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt 1) (* (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 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (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 (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ 1 (* (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 (sqrt k))) (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ 1 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (- (+ (* 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)) (* 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))))))) (- (- (* +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)))))))))) 11.502 * * * [progress]: adding candidates to table 18.162 * [progress]: [Phase 3 of 3] Extracting. 18.162 * * [regime]: Finding splitpoints for: (# # # # # # #) 18.164 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 18.164 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 18.195 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 18.230 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 18.264 * * * [regime]: Found split indices: #