13.763 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.084 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.085 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.086 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.090 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.097 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.115 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.209 * * [simplify]: iteration 5 : 793 enodes (cost 16 ) 0.709 * * [simplify]: iteration 6 : 3008 enodes (cost 16 ) 1.837 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 1.837 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.837 * * [progress]: iteration 1 / 4 1.837 * * * [progress]: picking best candidate 1.840 * * * * [pick]: Picked # 1.840 * * * [progress]: localizing error 1.853 * * * [progress]: generating rewritten candidates 1.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.866 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.873 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.902 * * * [progress]: generating series expansions 1.902 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.902 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.902 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.902 * [taylor]: Taking taylor expansion of 1.0 in k 1.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.902 * [taylor]: Taking taylor expansion of k in k 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.904 * [taylor]: Taking taylor expansion of 1.0 in k 1.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.904 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.904 * [taylor]: Taking taylor expansion of k in k 1.917 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.917 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.917 * [taylor]: Taking taylor expansion of 1.0 in k 1.917 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.917 * [taylor]: Taking taylor expansion of k in k 1.918 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.918 * [taylor]: Taking taylor expansion of 1.0 in k 1.918 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.918 * [taylor]: Taking taylor expansion of k in k 1.928 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.929 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.929 * [taylor]: Taking taylor expansion of 1.0 in k 1.929 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.929 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.929 * [taylor]: Taking taylor expansion of -1 in k 1.929 * [taylor]: Taking taylor expansion of k in k 1.930 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.930 * [taylor]: Taking taylor expansion of 1.0 in k 1.930 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.930 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.930 * [taylor]: Taking taylor expansion of -1 in k 1.930 * [taylor]: Taking taylor expansion of k in k 1.943 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.943 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.943 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.944 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.944 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.944 * [taylor]: Taking taylor expansion of 0.5 in k 1.944 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.944 * [taylor]: Taking taylor expansion of 1.0 in k 1.944 * [taylor]: Taking taylor expansion of k in k 1.944 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.944 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.944 * [taylor]: Taking taylor expansion of 2.0 in k 1.944 * [taylor]: Taking taylor expansion of (* n PI) in k 1.944 * [taylor]: Taking taylor expansion of n in k 1.944 * [taylor]: Taking taylor expansion of PI in k 1.945 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.945 * [taylor]: Taking taylor expansion of 0.5 in n 1.945 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.945 * [taylor]: Taking taylor expansion of 1.0 in n 1.945 * [taylor]: Taking taylor expansion of k in n 1.945 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.945 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.945 * [taylor]: Taking taylor expansion of 2.0 in n 1.945 * [taylor]: Taking taylor expansion of (* n PI) in n 1.945 * [taylor]: Taking taylor expansion of n in n 1.945 * [taylor]: Taking taylor expansion of PI in n 1.950 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.951 * [taylor]: Taking taylor expansion of 0.5 in n 1.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.951 * [taylor]: Taking taylor expansion of 1.0 in n 1.951 * [taylor]: Taking taylor expansion of k in n 1.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.951 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.951 * [taylor]: Taking taylor expansion of 2.0 in n 1.951 * [taylor]: Taking taylor expansion of (* n PI) in n 1.951 * [taylor]: Taking taylor expansion of n in n 1.951 * [taylor]: Taking taylor expansion of PI in n 1.956 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.956 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.956 * [taylor]: Taking taylor expansion of 0.5 in k 1.956 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.956 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.956 * [taylor]: Taking taylor expansion of 1.0 in k 1.956 * [taylor]: Taking taylor expansion of k in k 1.956 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.956 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.956 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.956 * [taylor]: Taking taylor expansion of 2.0 in k 1.956 * [taylor]: Taking taylor expansion of PI in k 1.957 * [taylor]: Taking taylor expansion of (log n) in k 1.957 * [taylor]: Taking taylor expansion of n in k 1.967 * [taylor]: Taking taylor expansion of 0 in k 1.990 * [taylor]: Taking taylor expansion of 0 in k 2.010 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.010 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.010 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.010 * [taylor]: Taking taylor expansion of 0.5 in k 2.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.010 * [taylor]: Taking taylor expansion of 1.0 in k 2.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.010 * [taylor]: Taking taylor expansion of k in k 2.011 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.011 * [taylor]: Taking taylor expansion of 2.0 in k 2.011 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.011 * [taylor]: Taking taylor expansion of PI in k 2.011 * [taylor]: Taking taylor expansion of n in k 2.012 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.012 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.012 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.012 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.012 * [taylor]: Taking taylor expansion of 0.5 in n 2.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.012 * [taylor]: Taking taylor expansion of 1.0 in n 2.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.012 * [taylor]: Taking taylor expansion of k in n 2.012 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.012 * [taylor]: Taking taylor expansion of 2.0 in n 2.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.012 * [taylor]: Taking taylor expansion of PI in n 2.012 * [taylor]: Taking taylor expansion of n in n 2.016 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.016 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.016 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.016 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.016 * [taylor]: Taking taylor expansion of 0.5 in n 2.016 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.016 * [taylor]: Taking taylor expansion of 1.0 in n 2.016 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.016 * [taylor]: Taking taylor expansion of k in n 2.016 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.016 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.016 * [taylor]: Taking taylor expansion of 2.0 in n 2.016 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.016 * [taylor]: Taking taylor expansion of PI in n 2.016 * [taylor]: Taking taylor expansion of n in n 2.020 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.020 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.020 * [taylor]: Taking taylor expansion of 0.5 in k 2.020 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.020 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.020 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.020 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.020 * [taylor]: Taking taylor expansion of 2.0 in k 2.020 * [taylor]: Taking taylor expansion of PI in k 2.021 * [taylor]: Taking taylor expansion of (log n) in k 2.021 * [taylor]: Taking taylor expansion of n in k 2.021 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.021 * [taylor]: Taking taylor expansion of 1.0 in k 2.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.021 * [taylor]: Taking taylor expansion of k in k 2.031 * [taylor]: Taking taylor expansion of 0 in k 2.039 * [taylor]: Taking taylor expansion of 0 in k 2.049 * [taylor]: Taking taylor expansion of 0 in k 2.051 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.051 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.051 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.051 * [taylor]: Taking taylor expansion of 0.5 in k 2.051 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.051 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.051 * [taylor]: Taking taylor expansion of k in k 2.051 * [taylor]: Taking taylor expansion of 1.0 in k 2.051 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.051 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.051 * [taylor]: Taking taylor expansion of -2.0 in k 2.051 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.051 * [taylor]: Taking taylor expansion of PI in k 2.051 * [taylor]: Taking taylor expansion of n in k 2.052 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.052 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.052 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.052 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.052 * [taylor]: Taking taylor expansion of 0.5 in n 2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.052 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.052 * [taylor]: Taking taylor expansion of k in n 2.052 * [taylor]: Taking taylor expansion of 1.0 in n 2.052 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.052 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.052 * [taylor]: Taking taylor expansion of -2.0 in n 2.052 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.052 * [taylor]: Taking taylor expansion of PI in n 2.052 * [taylor]: Taking taylor expansion of n in n 2.056 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.056 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.056 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.056 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.056 * [taylor]: Taking taylor expansion of 0.5 in n 2.056 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.056 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.056 * [taylor]: Taking taylor expansion of k in n 2.056 * [taylor]: Taking taylor expansion of 1.0 in n 2.056 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.056 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.057 * [taylor]: Taking taylor expansion of -2.0 in n 2.057 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.057 * [taylor]: Taking taylor expansion of PI in n 2.057 * [taylor]: Taking taylor expansion of n in n 2.060 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.060 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.060 * [taylor]: Taking taylor expansion of 0.5 in k 2.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.060 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.060 * [taylor]: Taking taylor expansion of k in k 2.061 * [taylor]: Taking taylor expansion of 1.0 in k 2.061 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.061 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.061 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.061 * [taylor]: Taking taylor expansion of -2.0 in k 2.061 * [taylor]: Taking taylor expansion of PI in k 2.062 * [taylor]: Taking taylor expansion of (log n) in k 2.062 * [taylor]: Taking taylor expansion of n in k 2.077 * [taylor]: Taking taylor expansion of 0 in k 2.084 * [taylor]: Taking taylor expansion of 0 in k 2.094 * [taylor]: Taking taylor expansion of 0 in k 2.095 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.095 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.095 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.095 * [taylor]: Taking taylor expansion of 2.0 in n 2.095 * [taylor]: Taking taylor expansion of (* n PI) in n 2.095 * [taylor]: Taking taylor expansion of n in n 2.095 * [taylor]: Taking taylor expansion of PI in n 2.095 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.095 * [taylor]: Taking taylor expansion of 2.0 in n 2.095 * [taylor]: Taking taylor expansion of (* n PI) in n 2.095 * [taylor]: Taking taylor expansion of n in n 2.095 * [taylor]: Taking taylor expansion of PI in n 2.108 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.108 * [taylor]: Taking taylor expansion of 2.0 in n 2.108 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.109 * [taylor]: Taking taylor expansion of PI in n 2.109 * [taylor]: Taking taylor expansion of n in n 2.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.109 * [taylor]: Taking taylor expansion of 2.0 in n 2.109 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.109 * [taylor]: Taking taylor expansion of PI in n 2.109 * [taylor]: Taking taylor expansion of n in n 2.118 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.118 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.118 * [taylor]: Taking taylor expansion of -2.0 in n 2.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.118 * [taylor]: Taking taylor expansion of PI in n 2.118 * [taylor]: Taking taylor expansion of n in n 2.119 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.119 * [taylor]: Taking taylor expansion of -2.0 in n 2.119 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.119 * [taylor]: Taking taylor expansion of PI in n 2.119 * [taylor]: Taking taylor expansion of n in n 2.127 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.128 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.128 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.128 * [taylor]: Taking taylor expansion of 1.0 in n 2.128 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.128 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.128 * [taylor]: Taking taylor expansion of k in n 2.128 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.128 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.128 * [taylor]: Taking taylor expansion of 0.5 in n 2.128 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.128 * [taylor]: Taking taylor expansion of 1.0 in n 2.128 * [taylor]: Taking taylor expansion of k in n 2.128 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.128 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.128 * [taylor]: Taking taylor expansion of 2.0 in n 2.128 * [taylor]: Taking taylor expansion of (* n PI) in n 2.128 * [taylor]: Taking taylor expansion of n in n 2.128 * [taylor]: Taking taylor expansion of PI in n 2.134 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.134 * [taylor]: Taking taylor expansion of 1.0 in k 2.134 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.134 * [taylor]: Taking taylor expansion of k in k 2.136 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.136 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.136 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.136 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.136 * [taylor]: Taking taylor expansion of 0.5 in k 2.136 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.136 * [taylor]: Taking taylor expansion of 1.0 in k 2.136 * [taylor]: Taking taylor expansion of k in k 2.136 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.136 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.136 * [taylor]: Taking taylor expansion of 2.0 in k 2.136 * [taylor]: Taking taylor expansion of (* n PI) in k 2.136 * [taylor]: Taking taylor expansion of n in k 2.136 * [taylor]: Taking taylor expansion of PI in k 2.137 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.137 * [taylor]: Taking taylor expansion of 1.0 in k 2.137 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.137 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.137 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.137 * [taylor]: Taking taylor expansion of k in k 2.138 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.138 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.138 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.138 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.138 * [taylor]: Taking taylor expansion of 0.5 in k 2.138 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.138 * [taylor]: Taking taylor expansion of 1.0 in k 2.138 * [taylor]: Taking taylor expansion of k in k 2.138 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.139 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.139 * [taylor]: Taking taylor expansion of 2.0 in k 2.139 * [taylor]: Taking taylor expansion of (* n PI) in k 2.139 * [taylor]: Taking taylor expansion of n in k 2.139 * [taylor]: Taking taylor expansion of PI in k 2.140 * [taylor]: Taking taylor expansion of 0 in n 2.146 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.146 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.146 * [taylor]: Taking taylor expansion of +nan.0 in n 2.146 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.146 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.146 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.146 * [taylor]: Taking taylor expansion of 0.5 in n 2.146 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.146 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.146 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.146 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.146 * [taylor]: Taking taylor expansion of 1.0 in n 2.146 * [taylor]: Taking taylor expansion of (log PI) in n 2.146 * [taylor]: Taking taylor expansion of PI in n 2.148 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.148 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.148 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.148 * [taylor]: Taking taylor expansion of 1.0 in n 2.148 * [taylor]: Taking taylor expansion of (log n) in n 2.148 * [taylor]: Taking taylor expansion of n in n 2.149 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.149 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.149 * [taylor]: Taking taylor expansion of 1.0 in n 2.149 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.149 * [taylor]: Taking taylor expansion of 2.0 in n 2.175 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.175 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.175 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.175 * [taylor]: Taking taylor expansion of +nan.0 in n 2.175 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.175 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.175 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.175 * [taylor]: Taking taylor expansion of 1.0 in n 2.175 * [taylor]: Taking taylor expansion of (log PI) in n 2.175 * [taylor]: Taking taylor expansion of PI in n 2.177 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.177 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log n) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.178 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.178 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.178 * [taylor]: Taking taylor expansion of 1.0 in n 2.178 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.178 * [taylor]: Taking taylor expansion of 2.0 in n 2.183 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.184 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.184 * [taylor]: Taking taylor expansion of +nan.0 in n 2.184 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.184 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.184 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.184 * [taylor]: Taking taylor expansion of 0.5 in n 2.184 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.184 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.184 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.184 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.184 * [taylor]: Taking taylor expansion of 1.0 in n 2.184 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.184 * [taylor]: Taking taylor expansion of 2.0 in n 2.186 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.186 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.186 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.186 * [taylor]: Taking taylor expansion of 1.0 in n 2.186 * [taylor]: Taking taylor expansion of (log PI) in n 2.186 * [taylor]: Taking taylor expansion of PI in n 2.188 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.188 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.188 * [taylor]: Taking taylor expansion of 1.0 in n 2.188 * [taylor]: Taking taylor expansion of (log n) in n 2.188 * [taylor]: Taking taylor expansion of n in n 2.192 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.192 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.192 * [taylor]: Taking taylor expansion of 2.0 in n 2.192 * [taylor]: Taking taylor expansion of (* n PI) in n 2.192 * [taylor]: Taking taylor expansion of n in n 2.192 * [taylor]: Taking taylor expansion of PI in n 2.244 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.244 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.244 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.244 * [taylor]: Taking taylor expansion of +nan.0 in n 2.244 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.244 * [taylor]: Taking taylor expansion of 0.5 in n 2.244 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.244 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.244 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.245 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.245 * [taylor]: Taking taylor expansion of 1.0 in n 2.245 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.245 * [taylor]: Taking taylor expansion of 2.0 in n 2.246 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.246 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.246 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.246 * [taylor]: Taking taylor expansion of 1.0 in n 2.246 * [taylor]: Taking taylor expansion of (log n) in n 2.246 * [taylor]: Taking taylor expansion of n in n 2.247 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.247 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.247 * [taylor]: Taking taylor expansion of 1.0 in n 2.247 * [taylor]: Taking taylor expansion of (log PI) in n 2.247 * [taylor]: Taking taylor expansion of PI in n 2.258 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.258 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.259 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.259 * [taylor]: Taking taylor expansion of +nan.0 in n 2.259 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.259 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.259 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.259 * [taylor]: Taking taylor expansion of 0.5 in n 2.259 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.259 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.259 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.259 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.259 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.259 * [taylor]: Taking taylor expansion of 1.0 in n 2.259 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.259 * [taylor]: Taking taylor expansion of 2.0 in n 2.261 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.261 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.261 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.261 * [taylor]: Taking taylor expansion of 1.0 in n 2.261 * [taylor]: Taking taylor expansion of (log PI) in n 2.261 * [taylor]: Taking taylor expansion of PI in n 2.263 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.263 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.263 * [taylor]: Taking taylor expansion of 1.0 in n 2.263 * [taylor]: Taking taylor expansion of (log n) in n 2.263 * [taylor]: Taking taylor expansion of n in n 2.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.267 * [taylor]: Taking taylor expansion of 2.0 in n 2.267 * [taylor]: Taking taylor expansion of (* n PI) in n 2.267 * [taylor]: Taking taylor expansion of n in n 2.267 * [taylor]: Taking taylor expansion of PI in n 2.270 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.270 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.270 * [taylor]: Taking taylor expansion of +nan.0 in n 2.270 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.270 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.270 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.270 * [taylor]: Taking taylor expansion of 0.5 in n 2.270 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.270 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.270 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.270 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.270 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.270 * [taylor]: Taking taylor expansion of 1.0 in n 2.270 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.270 * [taylor]: Taking taylor expansion of 2.0 in n 2.272 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.272 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.272 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.272 * [taylor]: Taking taylor expansion of 1.0 in n 2.272 * [taylor]: Taking taylor expansion of (log PI) in n 2.272 * [taylor]: Taking taylor expansion of PI in n 2.274 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.274 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.274 * [taylor]: Taking taylor expansion of 1.0 in n 2.274 * [taylor]: Taking taylor expansion of (log n) in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.279 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.279 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.279 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.279 * [taylor]: Taking taylor expansion of 2.0 in n 2.279 * [taylor]: Taking taylor expansion of (* n PI) in n 2.279 * [taylor]: Taking taylor expansion of n in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.361 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.361 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.361 * [taylor]: Taking taylor expansion of 1.0 in n 2.361 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.361 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.361 * [taylor]: Taking taylor expansion of k in n 2.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.361 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.361 * [taylor]: Taking taylor expansion of 0.5 in n 2.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.361 * [taylor]: Taking taylor expansion of 1.0 in n 2.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.361 * [taylor]: Taking taylor expansion of k in n 2.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.361 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.361 * [taylor]: Taking taylor expansion of 2.0 in n 2.361 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.361 * [taylor]: Taking taylor expansion of PI in n 2.361 * [taylor]: Taking taylor expansion of n in n 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.365 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.365 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.365 * [taylor]: Taking taylor expansion of k in k 2.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.367 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.367 * [taylor]: Taking taylor expansion of 0.5 in k 2.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.367 * [taylor]: Taking taylor expansion of 1.0 in k 2.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.367 * [taylor]: Taking taylor expansion of k in k 2.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.367 * [taylor]: Taking taylor expansion of 2.0 in k 2.367 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.367 * [taylor]: Taking taylor expansion of PI in k 2.367 * [taylor]: Taking taylor expansion of n in k 2.368 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.368 * [taylor]: Taking taylor expansion of 1.0 in k 2.368 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.368 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.368 * [taylor]: Taking taylor expansion of k in k 2.369 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.369 * [taylor]: Taking taylor expansion of 0.5 in k 2.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.369 * [taylor]: Taking taylor expansion of 1.0 in k 2.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.369 * [taylor]: Taking taylor expansion of k in k 2.370 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.370 * [taylor]: Taking taylor expansion of 2.0 in k 2.370 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.370 * [taylor]: Taking taylor expansion of PI in k 2.370 * [taylor]: Taking taylor expansion of n in k 2.371 * [taylor]: Taking taylor expansion of 0 in n 2.372 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.372 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.372 * [taylor]: Taking taylor expansion of +nan.0 in n 2.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.372 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.372 * [taylor]: Taking taylor expansion of 0.5 in n 2.372 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.372 * [taylor]: Taking taylor expansion of 2.0 in n 2.372 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.374 * [taylor]: Taking taylor expansion of 1.0 in n 2.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.374 * [taylor]: Taking taylor expansion of k in n 2.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.382 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.382 * [taylor]: Taking taylor expansion of +nan.0 in n 2.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.382 * [taylor]: Taking taylor expansion of 0.5 in n 2.382 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.382 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.382 * [taylor]: Taking taylor expansion of 2.0 in n 2.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.382 * [taylor]: Taking taylor expansion of PI in n 2.382 * [taylor]: Taking taylor expansion of n in n 2.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.384 * [taylor]: Taking taylor expansion of 1.0 in n 2.384 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.384 * [taylor]: Taking taylor expansion of k in n 2.401 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.401 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.401 * [taylor]: Taking taylor expansion of +nan.0 in n 2.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.401 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.401 * [taylor]: Taking taylor expansion of 0.5 in n 2.401 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.401 * [taylor]: Taking taylor expansion of 2.0 in n 2.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.401 * [taylor]: Taking taylor expansion of PI in n 2.401 * [taylor]: Taking taylor expansion of n in n 2.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.402 * [taylor]: Taking taylor expansion of 1.0 in n 2.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.402 * [taylor]: Taking taylor expansion of k in n 2.411 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.411 * [taylor]: Taking taylor expansion of 1.0 in n 2.411 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.411 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.411 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.412 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.412 * [taylor]: Taking taylor expansion of 0.5 in n 2.412 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.412 * [taylor]: Taking taylor expansion of k in n 2.412 * [taylor]: Taking taylor expansion of 1.0 in n 2.412 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.412 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.412 * [taylor]: Taking taylor expansion of -2.0 in n 2.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.412 * [taylor]: Taking taylor expansion of PI in n 2.412 * [taylor]: Taking taylor expansion of n in n 2.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.416 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.416 * [taylor]: Taking taylor expansion of -1 in n 2.416 * [taylor]: Taking taylor expansion of k in n 2.417 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.417 * [taylor]: Taking taylor expansion of 1.0 in k 2.417 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.417 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.417 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.417 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.417 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.417 * [taylor]: Taking taylor expansion of 0.5 in k 2.417 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.417 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.417 * [taylor]: Taking taylor expansion of k in k 2.417 * [taylor]: Taking taylor expansion of 1.0 in k 2.417 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.417 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.417 * [taylor]: Taking taylor expansion of -2.0 in k 2.417 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.417 * [taylor]: Taking taylor expansion of PI in k 2.417 * [taylor]: Taking taylor expansion of n in k 2.418 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.418 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.418 * [taylor]: Taking taylor expansion of -1 in k 2.418 * [taylor]: Taking taylor expansion of k in k 2.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.420 * [taylor]: Taking taylor expansion of 1.0 in k 2.420 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.420 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.420 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.420 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.420 * [taylor]: Taking taylor expansion of 0.5 in k 2.420 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.420 * [taylor]: Taking taylor expansion of k in k 2.420 * [taylor]: Taking taylor expansion of 1.0 in k 2.420 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.420 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.420 * [taylor]: Taking taylor expansion of -2.0 in k 2.420 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.420 * [taylor]: Taking taylor expansion of PI in k 2.420 * [taylor]: Taking taylor expansion of n in k 2.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.421 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.421 * [taylor]: Taking taylor expansion of -1 in k 2.421 * [taylor]: Taking taylor expansion of k in k 2.423 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.423 * [taylor]: Taking taylor expansion of +nan.0 in n 2.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.423 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.423 * [taylor]: Taking taylor expansion of 0.5 in n 2.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.423 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.423 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.423 * [taylor]: Taking taylor expansion of k in n 2.423 * [taylor]: Taking taylor expansion of 1.0 in n 2.423 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.423 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.423 * [taylor]: Taking taylor expansion of -2.0 in n 2.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.432 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.432 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.432 * [taylor]: Taking taylor expansion of +nan.0 in n 2.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.432 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.432 * [taylor]: Taking taylor expansion of 0.5 in n 2.432 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.432 * [taylor]: Taking taylor expansion of k in n 2.432 * [taylor]: Taking taylor expansion of 1.0 in n 2.433 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.433 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.433 * [taylor]: Taking taylor expansion of -2.0 in n 2.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.433 * [taylor]: Taking taylor expansion of PI in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.457 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.458 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.458 * [taylor]: Taking taylor expansion of +nan.0 in n 2.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.458 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.458 * [taylor]: Taking taylor expansion of 0.5 in n 2.458 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.458 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.458 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.458 * [taylor]: Taking taylor expansion of k in n 2.458 * [taylor]: Taking taylor expansion of 1.0 in n 2.458 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.458 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.458 * [taylor]: Taking taylor expansion of -2.0 in n 2.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.458 * [taylor]: Taking taylor expansion of PI in n 2.458 * [taylor]: Taking taylor expansion of n in n 2.467 * * * [progress]: simplifying candidates 2.470 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 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(/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5)))) (- (+ (* (* 0.25 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (* (log (* 2.0 PI)) (log n)))) (pow (* (* 2.0 PI) n) 0.5)) (* 0.5 (* k (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (log n) (pow (* (* 2.0 PI) n) 0.5))))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (* +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))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k))))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2)))) (* +nan.0 (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3)))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 3.545 * * * [progress]: adding candidates to table 3.941 * * [progress]: iteration 2 / 4 3.941 * * * [progress]: picking best candidate 3.976 * * * * [pick]: Picked # 3.976 * * * [progress]: localizing error 3.992 * * * [progress]: generating rewritten candidates 3.992 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.998 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.007 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.018 * * * [progress]: generating series expansions 4.018 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.018 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.018 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.018 * [taylor]: Taking taylor expansion of 1.0 in k 4.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.018 * [taylor]: Taking taylor expansion of k in k 4.020 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.020 * [taylor]: Taking taylor expansion of 1.0 in k 4.020 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.020 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.020 * [taylor]: Taking taylor expansion of k in k 4.032 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.032 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.032 * [taylor]: Taking taylor expansion of 1.0 in k 4.032 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.032 * [taylor]: Taking taylor expansion of k in k 4.033 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.033 * [taylor]: Taking taylor expansion of 1.0 in k 4.033 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.033 * [taylor]: Taking taylor expansion of k in k 4.043 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.043 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.043 * [taylor]: Taking taylor expansion of 1.0 in k 4.044 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.044 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.044 * [taylor]: Taking taylor expansion of -1 in k 4.044 * [taylor]: Taking taylor expansion of k in k 4.045 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.045 * [taylor]: Taking taylor expansion of 1.0 in k 4.045 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.045 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.045 * [taylor]: Taking taylor expansion of -1 in k 4.045 * [taylor]: Taking taylor expansion of k in k 4.063 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.063 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.063 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.063 * [taylor]: Taking taylor expansion of 1.0 in k 4.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.063 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.063 * [taylor]: Taking taylor expansion of k in k 4.065 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.065 * [taylor]: Taking taylor expansion of 1.0 in k 4.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.065 * [taylor]: Taking taylor expansion of k in k 4.076 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.076 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.076 * [taylor]: Taking taylor expansion of 1.0 in k 4.076 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.076 * [taylor]: Taking taylor expansion of k in k 4.077 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.077 * [taylor]: Taking taylor expansion of 1.0 in k 4.077 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.077 * [taylor]: Taking taylor expansion of k in k 4.088 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.088 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.088 * [taylor]: Taking taylor expansion of 1.0 in k 4.088 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.088 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.088 * [taylor]: Taking taylor expansion of -1 in k 4.088 * [taylor]: Taking taylor expansion of k in k 4.090 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.090 * [taylor]: Taking taylor expansion of 1.0 in k 4.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.090 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.090 * [taylor]: Taking taylor expansion of -1 in k 4.090 * [taylor]: Taking taylor expansion of k in k 4.101 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.102 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.102 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.102 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.102 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.102 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.102 * [taylor]: Taking taylor expansion of 0.5 in k 4.102 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.102 * [taylor]: Taking taylor expansion of 1.0 in k 4.102 * [taylor]: Taking taylor expansion of k in k 4.102 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.102 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.102 * [taylor]: Taking taylor expansion of 2.0 in k 4.102 * [taylor]: Taking taylor expansion of (* n PI) in k 4.102 * [taylor]: Taking taylor expansion of n in k 4.102 * [taylor]: Taking taylor expansion of PI in k 4.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.103 * [taylor]: Taking taylor expansion of 0.5 in n 4.103 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.103 * [taylor]: Taking taylor expansion of 1.0 in n 4.103 * [taylor]: Taking taylor expansion of k in n 4.103 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.103 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.103 * [taylor]: Taking taylor expansion of 2.0 in n 4.103 * [taylor]: Taking taylor expansion of (* n PI) in n 4.103 * [taylor]: Taking taylor expansion of n in n 4.103 * [taylor]: Taking taylor expansion of PI in n 4.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.109 * [taylor]: Taking taylor expansion of 0.5 in n 4.109 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.109 * [taylor]: Taking taylor expansion of 1.0 in n 4.109 * [taylor]: Taking taylor expansion of k in n 4.109 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.109 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.109 * [taylor]: Taking taylor expansion of 2.0 in n 4.109 * [taylor]: Taking taylor expansion of (* n PI) in n 4.109 * [taylor]: Taking taylor expansion of n in n 4.109 * [taylor]: Taking taylor expansion of PI in n 4.114 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.114 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.114 * [taylor]: Taking taylor expansion of 0.5 in k 4.114 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.114 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.114 * [taylor]: Taking taylor expansion of 1.0 in k 4.114 * [taylor]: Taking taylor expansion of k in k 4.114 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.114 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.114 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.114 * [taylor]: Taking taylor expansion of 2.0 in k 4.114 * [taylor]: Taking taylor expansion of PI in k 4.115 * [taylor]: Taking taylor expansion of (log n) in k 4.115 * [taylor]: Taking taylor expansion of n in k 4.125 * [taylor]: Taking taylor expansion of 0 in k 4.146 * [taylor]: Taking taylor expansion of 0 in k 4.166 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.167 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.167 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.167 * [taylor]: Taking taylor expansion of 0.5 in k 4.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.167 * [taylor]: Taking taylor expansion of 1.0 in k 4.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.167 * [taylor]: Taking taylor expansion of k in k 4.167 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.167 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.167 * [taylor]: Taking taylor expansion of 2.0 in k 4.167 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.167 * [taylor]: Taking taylor expansion of PI in k 4.167 * [taylor]: Taking taylor expansion of n in k 4.168 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.168 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.168 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.168 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.168 * [taylor]: Taking taylor expansion of 0.5 in n 4.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.168 * [taylor]: Taking taylor expansion of 1.0 in n 4.168 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.168 * [taylor]: Taking taylor expansion of k in n 4.168 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.168 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.168 * [taylor]: Taking taylor expansion of 2.0 in n 4.168 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.168 * [taylor]: Taking taylor expansion of PI in n 4.168 * [taylor]: Taking taylor expansion of n in n 4.172 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.172 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.172 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.172 * [taylor]: Taking taylor expansion of 0.5 in n 4.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.172 * [taylor]: Taking taylor expansion of 1.0 in n 4.172 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.172 * [taylor]: Taking taylor expansion of k in n 4.172 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.172 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.172 * [taylor]: Taking taylor expansion of 2.0 in n 4.172 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.172 * [taylor]: Taking taylor expansion of PI in n 4.172 * [taylor]: Taking taylor expansion of n in n 4.176 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.176 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.176 * [taylor]: Taking taylor expansion of 0.5 in k 4.176 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.176 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.176 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.176 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.176 * [taylor]: Taking taylor expansion of 2.0 in k 4.176 * [taylor]: Taking taylor expansion of PI in k 4.177 * [taylor]: Taking taylor expansion of (log n) in k 4.177 * [taylor]: Taking taylor expansion of n in k 4.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.177 * [taylor]: Taking taylor expansion of 1.0 in k 4.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.177 * [taylor]: Taking taylor expansion of k in k 4.187 * [taylor]: Taking taylor expansion of 0 in k 4.195 * [taylor]: Taking taylor expansion of 0 in k 4.204 * [taylor]: Taking taylor expansion of 0 in k 4.205 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.205 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.205 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.205 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.205 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.205 * [taylor]: Taking taylor expansion of 0.5 in k 4.205 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.205 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.205 * [taylor]: Taking taylor expansion of k in k 4.206 * [taylor]: Taking taylor expansion of 1.0 in k 4.206 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.206 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.206 * [taylor]: Taking taylor expansion of -2.0 in k 4.206 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.206 * [taylor]: Taking taylor expansion of PI in k 4.206 * [taylor]: Taking taylor expansion of n in k 4.207 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.207 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.207 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.207 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.207 * [taylor]: Taking taylor expansion of 0.5 in n 4.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.207 * [taylor]: Taking taylor expansion of k in n 4.207 * [taylor]: Taking taylor expansion of 1.0 in n 4.207 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.207 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.207 * [taylor]: Taking taylor expansion of -2.0 in n 4.207 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.207 * [taylor]: Taking taylor expansion of PI in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.210 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.211 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.211 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.211 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.211 * [taylor]: Taking taylor expansion of 0.5 in n 4.211 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.211 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.211 * [taylor]: Taking taylor expansion of k in n 4.211 * [taylor]: Taking taylor expansion of 1.0 in n 4.211 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.211 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.211 * [taylor]: Taking taylor expansion of -2.0 in n 4.211 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.211 * [taylor]: Taking taylor expansion of PI in n 4.211 * [taylor]: Taking taylor expansion of n in n 4.215 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.215 * [taylor]: Taking taylor expansion of 0.5 in k 4.215 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.215 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.215 * [taylor]: Taking taylor expansion of k in k 4.215 * [taylor]: Taking taylor expansion of 1.0 in k 4.215 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.215 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.215 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.215 * [taylor]: Taking taylor expansion of -2.0 in k 4.215 * [taylor]: Taking taylor expansion of PI in k 4.216 * [taylor]: Taking taylor expansion of (log n) in k 4.216 * [taylor]: Taking taylor expansion of n in k 4.225 * [taylor]: Taking taylor expansion of 0 in k 4.238 * [taylor]: Taking taylor expansion of 0 in k 4.248 * [taylor]: Taking taylor expansion of 0 in k 4.248 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.249 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.249 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.249 * [taylor]: Taking taylor expansion of 2.0 in n 4.249 * [taylor]: Taking taylor expansion of (* n PI) in n 4.249 * [taylor]: Taking taylor expansion of n in n 4.249 * [taylor]: Taking taylor expansion of PI in n 4.249 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.249 * [taylor]: Taking taylor expansion of 2.0 in n 4.249 * [taylor]: Taking taylor expansion of (* n PI) in n 4.249 * [taylor]: Taking taylor expansion of n in n 4.249 * [taylor]: Taking taylor expansion of PI in n 4.261 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.261 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.261 * [taylor]: Taking taylor expansion of 2.0 in n 4.261 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.261 * [taylor]: Taking taylor expansion of PI in n 4.261 * [taylor]: Taking taylor expansion of n in n 4.262 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.262 * [taylor]: Taking taylor expansion of 2.0 in n 4.262 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.262 * [taylor]: Taking taylor expansion of PI in n 4.262 * [taylor]: Taking taylor expansion of n in n 4.271 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.271 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.271 * [taylor]: Taking taylor expansion of -2.0 in n 4.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.271 * [taylor]: Taking taylor expansion of PI in n 4.271 * [taylor]: Taking taylor expansion of n in n 4.272 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.272 * [taylor]: Taking taylor expansion of -2.0 in n 4.272 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.272 * [taylor]: Taking taylor expansion of PI in n 4.272 * [taylor]: Taking taylor expansion of n in n 4.281 * * * [progress]: simplifying candidates 4.283 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 4.290 * * [simplify]: iteration 0 : 234 enodes (cost 1642 ) 4.342 * * [simplify]: iteration 1 : 564 enodes (cost 1507 ) 4.510 * * [simplify]: iteration 2 : 1779 enodes (cost 1401 ) 5.146 * * [simplify]: iteration done : 5000 enodes (cost 1391 ) 5.146 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5)))) (- (+ (* (* 0.25 (* (pow k 2) (log (* 2.0 PI)))) (* (pow (* (* 2.0 PI) n) 0.5) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (* (* k (+ (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) 0.5))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.147 * * * [progress]: adding candidates to table 5.541 * * [progress]: iteration 3 / 4 5.541 * * * [progress]: picking best candidate 5.579 * * * * [pick]: Picked # 5.579 * * * [progress]: localizing error 5.593 * * * [progress]: generating rewritten candidates 5.593 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.612 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.616 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.626 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.663 * * * [progress]: generating series expansions 5.663 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.664 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.664 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.664 * [taylor]: Taking taylor expansion of 1.0 in k 5.664 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.664 * [taylor]: Taking taylor expansion of k in k 5.665 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.666 * [taylor]: Taking taylor expansion of 1.0 in k 5.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.666 * [taylor]: Taking taylor expansion of k in k 5.678 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.678 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.678 * [taylor]: Taking taylor expansion of 1.0 in k 5.678 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.678 * [taylor]: Taking taylor expansion of k in k 5.679 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.679 * [taylor]: Taking taylor expansion of 1.0 in k 5.679 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.679 * [taylor]: Taking taylor expansion of k in k 5.689 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.690 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.690 * [taylor]: Taking taylor expansion of 1.0 in k 5.690 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.690 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.690 * [taylor]: Taking taylor expansion of -1 in k 5.690 * [taylor]: Taking taylor expansion of k in k 5.691 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.691 * [taylor]: Taking taylor expansion of 1.0 in k 5.691 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.691 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.691 * [taylor]: Taking taylor expansion of -1 in k 5.691 * [taylor]: Taking taylor expansion of k in k 5.709 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.710 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 5.710 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.710 * [taylor]: Taking taylor expansion of 1.0 in k 5.710 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.710 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.710 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.710 * [taylor]: Taking taylor expansion of 1/4 in k 5.710 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.710 * [taylor]: Taking taylor expansion of k in k 5.711 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.711 * [taylor]: Taking taylor expansion of 1.0 in k 5.711 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.711 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.711 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.711 * [taylor]: Taking taylor expansion of 1/4 in k 5.711 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.711 * [taylor]: Taking taylor expansion of k in k 5.767 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 5.767 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.767 * [taylor]: Taking taylor expansion of 1.0 in k 5.767 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.767 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.767 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.767 * [taylor]: Taking taylor expansion of 1/4 in k 5.767 * [taylor]: Taking taylor expansion of (log k) in k 5.767 * [taylor]: Taking taylor expansion of k in k 5.768 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.768 * [taylor]: Taking taylor expansion of 1.0 in k 5.768 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.768 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.768 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.768 * [taylor]: Taking taylor expansion of 1/4 in k 5.768 * [taylor]: Taking taylor expansion of (log k) in k 5.768 * [taylor]: Taking taylor expansion of k in k 5.827 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 5.827 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.827 * [taylor]: Taking taylor expansion of 1.0 in k 5.827 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.827 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.827 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.827 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.827 * [taylor]: Taking taylor expansion of -1 in k 5.827 * [taylor]: Taking taylor expansion of k in k 5.834 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 5.834 * [taylor]: Taking taylor expansion of 1.0 in k 5.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 5.834 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.834 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.834 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.834 * [taylor]: Taking taylor expansion of -1 in k 5.834 * [taylor]: Taking taylor expansion of k in k 5.877 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.878 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.878 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.878 * [taylor]: Taking taylor expansion of 0.5 in k 5.878 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.878 * [taylor]: Taking taylor expansion of 1.0 in k 5.878 * [taylor]: Taking taylor expansion of k in k 5.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.878 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.878 * [taylor]: Taking taylor expansion of 2.0 in k 5.878 * [taylor]: Taking taylor expansion of (* n PI) in k 5.878 * [taylor]: Taking taylor expansion of n in k 5.878 * [taylor]: Taking taylor expansion of PI in k 5.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.879 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.879 * [taylor]: Taking taylor expansion of 0.5 in n 5.879 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.879 * [taylor]: Taking taylor expansion of 1.0 in n 5.879 * [taylor]: Taking taylor expansion of k in n 5.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.879 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.879 * [taylor]: Taking taylor expansion of 2.0 in n 5.879 * [taylor]: Taking taylor expansion of (* n PI) in n 5.879 * [taylor]: Taking taylor expansion of n in n 5.879 * [taylor]: Taking taylor expansion of PI in n 5.885 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.885 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.885 * [taylor]: Taking taylor expansion of 0.5 in n 5.885 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.885 * [taylor]: Taking taylor expansion of 1.0 in n 5.885 * [taylor]: Taking taylor expansion of k in n 5.885 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.885 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.885 * [taylor]: Taking taylor expansion of 2.0 in n 5.885 * [taylor]: Taking taylor expansion of (* n PI) in n 5.885 * [taylor]: Taking taylor expansion of n in n 5.885 * [taylor]: Taking taylor expansion of PI in n 5.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.891 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.891 * [taylor]: Taking taylor expansion of 0.5 in k 5.891 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.891 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.891 * [taylor]: Taking taylor expansion of 1.0 in k 5.891 * [taylor]: Taking taylor expansion of k in k 5.891 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.891 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.891 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.891 * [taylor]: Taking taylor expansion of 2.0 in k 5.891 * [taylor]: Taking taylor expansion of PI in k 5.892 * [taylor]: Taking taylor expansion of (log n) in k 5.892 * [taylor]: Taking taylor expansion of n in k 5.901 * [taylor]: Taking taylor expansion of 0 in k 5.917 * [taylor]: Taking taylor expansion of 0 in k 5.936 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.936 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.936 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.936 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.936 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.936 * [taylor]: Taking taylor expansion of 0.5 in k 5.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.936 * [taylor]: Taking taylor expansion of 1.0 in k 5.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.936 * [taylor]: Taking taylor expansion of k in k 5.936 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.936 * [taylor]: Taking taylor expansion of 2.0 in k 5.936 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.936 * [taylor]: Taking taylor expansion of PI in k 5.936 * [taylor]: Taking taylor expansion of n in k 5.937 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.937 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.937 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.937 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.937 * [taylor]: Taking taylor expansion of 0.5 in n 5.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.937 * [taylor]: Taking taylor expansion of 1.0 in n 5.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.937 * [taylor]: Taking taylor expansion of k in n 5.937 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.937 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.937 * [taylor]: Taking taylor expansion of 2.0 in n 5.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.937 * [taylor]: Taking taylor expansion of PI in n 5.937 * [taylor]: Taking taylor expansion of n in n 5.941 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.941 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.941 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.941 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.941 * [taylor]: Taking taylor expansion of 0.5 in n 5.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.941 * [taylor]: Taking taylor expansion of 1.0 in n 5.941 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.941 * [taylor]: Taking taylor expansion of k in n 5.941 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.941 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.941 * [taylor]: Taking taylor expansion of 2.0 in n 5.941 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.942 * [taylor]: Taking taylor expansion of PI in n 5.942 * [taylor]: Taking taylor expansion of n in n 5.951 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.951 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.951 * [taylor]: Taking taylor expansion of 0.5 in k 5.951 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.951 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.951 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.951 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.951 * [taylor]: Taking taylor expansion of 2.0 in k 5.951 * [taylor]: Taking taylor expansion of PI in k 5.952 * [taylor]: Taking taylor expansion of (log n) in k 5.952 * [taylor]: Taking taylor expansion of n in k 5.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.952 * [taylor]: Taking taylor expansion of 1.0 in k 5.952 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.952 * [taylor]: Taking taylor expansion of k in k 5.962 * [taylor]: Taking taylor expansion of 0 in k 5.969 * [taylor]: Taking taylor expansion of 0 in k 5.978 * [taylor]: Taking taylor expansion of 0 in k 5.980 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.980 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.980 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.980 * [taylor]: Taking taylor expansion of 0.5 in k 5.980 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.980 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.980 * [taylor]: Taking taylor expansion of k in k 5.980 * [taylor]: Taking taylor expansion of 1.0 in k 5.980 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.980 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.980 * [taylor]: Taking taylor expansion of -2.0 in k 5.980 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.980 * [taylor]: Taking taylor expansion of PI in k 5.980 * [taylor]: Taking taylor expansion of n in k 5.981 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.981 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.981 * [taylor]: Taking taylor expansion of 0.5 in n 5.981 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.981 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.981 * [taylor]: Taking taylor expansion of k in n 5.981 * [taylor]: Taking taylor expansion of 1.0 in n 5.981 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.981 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.981 * [taylor]: Taking taylor expansion of -2.0 in n 5.981 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.981 * [taylor]: Taking taylor expansion of PI in n 5.981 * [taylor]: Taking taylor expansion of n in n 5.985 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.985 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.985 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.985 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.985 * [taylor]: Taking taylor expansion of 0.5 in n 5.985 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.985 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.985 * [taylor]: Taking taylor expansion of k in n 5.985 * [taylor]: Taking taylor expansion of 1.0 in n 5.985 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.985 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.985 * [taylor]: Taking taylor expansion of -2.0 in n 5.985 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.985 * [taylor]: Taking taylor expansion of PI in n 5.985 * [taylor]: Taking taylor expansion of n in n 5.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.989 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.989 * [taylor]: Taking taylor expansion of 0.5 in k 5.989 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.989 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.989 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.989 * [taylor]: Taking taylor expansion of k in k 5.989 * [taylor]: Taking taylor expansion of 1.0 in k 5.989 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.989 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.989 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.989 * [taylor]: Taking taylor expansion of -2.0 in k 5.989 * [taylor]: Taking taylor expansion of PI in k 5.991 * [taylor]: Taking taylor expansion of (log n) in k 5.991 * [taylor]: Taking taylor expansion of n in k 6.000 * [taylor]: Taking taylor expansion of 0 in k 6.007 * [taylor]: Taking taylor expansion of 0 in k 6.016 * [taylor]: Taking taylor expansion of 0 in k 6.017 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.017 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.017 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.017 * [taylor]: Taking taylor expansion of 2.0 in n 6.017 * [taylor]: Taking taylor expansion of (* n PI) in n 6.017 * [taylor]: Taking taylor expansion of n in n 6.017 * [taylor]: Taking taylor expansion of PI in n 6.017 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.017 * [taylor]: Taking taylor expansion of 2.0 in n 6.017 * [taylor]: Taking taylor expansion of (* n PI) in n 6.017 * [taylor]: Taking taylor expansion of n in n 6.017 * [taylor]: Taking taylor expansion of PI in n 6.029 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.029 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.030 * [taylor]: Taking taylor expansion of 2.0 in n 6.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.030 * [taylor]: Taking taylor expansion of PI in n 6.030 * [taylor]: Taking taylor expansion of n in n 6.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.030 * [taylor]: Taking taylor expansion of 2.0 in n 6.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.030 * [taylor]: Taking taylor expansion of PI in n 6.030 * [taylor]: Taking taylor expansion of n in n 6.045 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.045 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.045 * [taylor]: Taking taylor expansion of -2.0 in n 6.045 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.045 * [taylor]: Taking taylor expansion of PI in n 6.045 * [taylor]: Taking taylor expansion of n in n 6.046 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.046 * [taylor]: Taking taylor expansion of -2.0 in n 6.046 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.046 * [taylor]: Taking taylor expansion of PI in n 6.046 * [taylor]: Taking taylor expansion of n in n 6.055 * * * [progress]: simplifying candidates 6.062 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 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* * [simplify]: iteration 1 : 1336 enodes (cost 7629 ) 6.784 * * [simplify]: iteration 2 : 3320 enodes (cost 7054 ) 7.293 * * [simplify]: iteration done : 5000 enodes (cost 7049 ) 7.296 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (fabs (cbrt k)))) (/ (cbrt (/ 1.0 (sqrt 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(pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* (* PI n) 2.0) 3) (pow (* (* PI n) 2.0) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* PI n) 2.0) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (+ (- (* 1.0 (sqrt +nan.0)) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ (/ +nan.0 (pow k 2)) (pow (sqrt +nan.0) 3)))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* PI n) 2.0) 0.5)) (* (pow (log n) 2) (pow (* (* PI n) 2.0) 0.5)))) (- (+ (* (* (* (pow (* (* PI n) 2.0) 0.5) (log n)) (* (pow k 2) (log (* 2.0 PI)))) 0.25) (pow (* (* PI n) 2.0) 0.5)) (* (* 0.5 k) (+ (* (pow (* (* PI n) 2.0) 0.5) (log n)) (* (pow (* (* PI n) 2.0) 0.5) (log (* 2.0 PI))))))) (pow (pow (* (* PI n) 2.0) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) 7.300 * * * [progress]: adding candidates to table 8.032 * * [progress]: iteration 4 / 4 8.032 * * * [progress]: picking best candidate 8.066 * * * * [pick]: Picked # 8.066 * * * [progress]: localizing error 8.089 * * * [progress]: generating rewritten candidates 8.089 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 8.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.178 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 8.211 * * * [progress]: generating series expansions 8.211 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 8.211 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 8.211 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.211 * [taylor]: Taking taylor expansion of 1.0 in k 8.211 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.211 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.211 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.211 * [taylor]: Taking taylor expansion of 1/4 in k 8.211 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.211 * [taylor]: Taking taylor expansion of k in k 8.212 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.212 * [taylor]: Taking taylor expansion of 1.0 in k 8.212 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.212 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.212 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.213 * [taylor]: Taking taylor expansion of 1/4 in k 8.213 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.213 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.213 * [taylor]: Taking taylor expansion of k in k 8.277 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 8.277 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.277 * [taylor]: Taking taylor expansion of 1.0 in k 8.277 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.277 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.277 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.277 * [taylor]: Taking taylor expansion of 1/4 in k 8.278 * [taylor]: Taking taylor expansion of (log k) in k 8.278 * [taylor]: Taking taylor expansion of k in k 8.278 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.278 * [taylor]: Taking taylor expansion of 1.0 in k 8.278 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.278 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.278 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.278 * [taylor]: Taking taylor expansion of 1/4 in k 8.278 * [taylor]: Taking taylor expansion of (log k) in k 8.278 * [taylor]: Taking taylor expansion of k in k 8.339 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 8.339 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.339 * [taylor]: Taking taylor expansion of 1.0 in k 8.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.339 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.339 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.339 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.339 * [taylor]: Taking taylor expansion of -1 in k 8.339 * [taylor]: Taking taylor expansion of k in k 8.346 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.346 * [taylor]: Taking taylor expansion of 1.0 in k 8.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.346 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.346 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.346 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.346 * [taylor]: Taking taylor expansion of -1 in k 8.346 * [taylor]: Taking taylor expansion of k in k 8.391 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.391 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.391 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.391 * [taylor]: Taking taylor expansion of 1.0 in k 8.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.391 * [taylor]: Taking taylor expansion of k in k 8.393 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.393 * [taylor]: Taking taylor expansion of 1.0 in k 8.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.393 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.393 * [taylor]: Taking taylor expansion of k in k 8.405 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.405 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.405 * [taylor]: Taking taylor expansion of 1.0 in k 8.405 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.405 * [taylor]: Taking taylor expansion of k in k 8.406 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.406 * [taylor]: Taking taylor expansion of 1.0 in k 8.406 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.406 * [taylor]: Taking taylor expansion of k in k 8.417 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.417 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.417 * [taylor]: Taking taylor expansion of 1.0 in k 8.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.417 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.417 * [taylor]: Taking taylor expansion of -1 in k 8.417 * [taylor]: Taking taylor expansion of k in k 8.419 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.419 * [taylor]: Taking taylor expansion of 1.0 in k 8.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.419 * [taylor]: Taking taylor expansion of -1 in k 8.419 * [taylor]: Taking taylor expansion of k in k 8.431 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.431 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.431 * [taylor]: Taking taylor expansion of 0.5 in k 8.431 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.431 * [taylor]: Taking taylor expansion of 1.0 in k 8.431 * [taylor]: Taking taylor expansion of k in k 8.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.431 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.431 * [taylor]: Taking taylor expansion of 2.0 in k 8.431 * [taylor]: Taking taylor expansion of (* n PI) in k 8.431 * [taylor]: Taking taylor expansion of n in k 8.431 * [taylor]: Taking taylor expansion of PI in k 8.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.432 * [taylor]: Taking taylor expansion of 0.5 in n 8.433 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.433 * [taylor]: Taking taylor expansion of 1.0 in n 8.433 * [taylor]: Taking taylor expansion of k in n 8.433 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.433 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.433 * [taylor]: Taking taylor expansion of 2.0 in n 8.433 * [taylor]: Taking taylor expansion of (* n PI) in n 8.433 * [taylor]: Taking taylor expansion of n in n 8.433 * [taylor]: Taking taylor expansion of PI in n 8.438 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.438 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.438 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.438 * [taylor]: Taking taylor expansion of 0.5 in n 8.438 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.438 * [taylor]: Taking taylor expansion of 1.0 in n 8.438 * [taylor]: Taking taylor expansion of k in n 8.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.438 * [taylor]: Taking taylor expansion of 2.0 in n 8.438 * [taylor]: Taking taylor expansion of (* n PI) in n 8.438 * [taylor]: Taking taylor expansion of n in n 8.438 * [taylor]: Taking taylor expansion of PI in n 8.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.444 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.444 * [taylor]: Taking taylor expansion of 0.5 in k 8.444 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.444 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.444 * [taylor]: Taking taylor expansion of 1.0 in k 8.444 * [taylor]: Taking taylor expansion of k in k 8.444 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.444 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.444 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.444 * [taylor]: Taking taylor expansion of 2.0 in k 8.444 * [taylor]: Taking taylor expansion of PI in k 8.445 * [taylor]: Taking taylor expansion of (log n) in k 8.445 * [taylor]: Taking taylor expansion of n in k 8.455 * [taylor]: Taking taylor expansion of 0 in k 8.477 * [taylor]: Taking taylor expansion of 0 in k 8.497 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.497 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.497 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.497 * [taylor]: Taking taylor expansion of 0.5 in k 8.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.497 * [taylor]: Taking taylor expansion of 1.0 in k 8.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.497 * [taylor]: Taking taylor expansion of k in k 8.497 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.497 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.497 * [taylor]: Taking taylor expansion of 2.0 in k 8.497 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.497 * [taylor]: Taking taylor expansion of PI in k 8.497 * [taylor]: Taking taylor expansion of n in k 8.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.498 * [taylor]: Taking taylor expansion of 0.5 in n 8.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.498 * [taylor]: Taking taylor expansion of 1.0 in n 8.498 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.498 * [taylor]: Taking taylor expansion of k in n 8.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.498 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.498 * [taylor]: Taking taylor expansion of 2.0 in n 8.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.499 * [taylor]: Taking taylor expansion of PI in n 8.499 * [taylor]: Taking taylor expansion of n in n 8.502 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.502 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.502 * [taylor]: Taking taylor expansion of 0.5 in n 8.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.502 * [taylor]: Taking taylor expansion of 1.0 in n 8.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.502 * [taylor]: Taking taylor expansion of k in n 8.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.502 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.503 * [taylor]: Taking taylor expansion of 2.0 in n 8.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.503 * [taylor]: Taking taylor expansion of PI in n 8.503 * [taylor]: Taking taylor expansion of n in n 8.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.506 * [taylor]: Taking taylor expansion of 0.5 in k 8.506 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.506 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.506 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.506 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.506 * [taylor]: Taking taylor expansion of 2.0 in k 8.506 * [taylor]: Taking taylor expansion of PI in k 8.507 * [taylor]: Taking taylor expansion of (log n) in k 8.507 * [taylor]: Taking taylor expansion of n in k 8.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.508 * [taylor]: Taking taylor expansion of 1.0 in k 8.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.508 * [taylor]: Taking taylor expansion of k in k 8.518 * [taylor]: Taking taylor expansion of 0 in k 8.525 * [taylor]: Taking taylor expansion of 0 in k 8.535 * [taylor]: Taking taylor expansion of 0 in k 8.536 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.536 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.536 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.536 * [taylor]: Taking taylor expansion of 0.5 in k 8.536 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.536 * [taylor]: Taking taylor expansion of k in k 8.536 * [taylor]: Taking taylor expansion of 1.0 in k 8.536 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.536 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.536 * [taylor]: Taking taylor expansion of -2.0 in k 8.536 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.536 * [taylor]: Taking taylor expansion of PI in k 8.536 * [taylor]: Taking taylor expansion of n in k 8.537 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.537 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.537 * [taylor]: Taking taylor expansion of 0.5 in n 8.537 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.537 * [taylor]: Taking taylor expansion of k in n 8.537 * [taylor]: Taking taylor expansion of 1.0 in n 8.537 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.537 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.537 * [taylor]: Taking taylor expansion of -2.0 in n 8.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.538 * [taylor]: Taking taylor expansion of PI in n 8.538 * [taylor]: Taking taylor expansion of n in n 8.541 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.541 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.541 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.541 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.541 * [taylor]: Taking taylor expansion of 0.5 in n 8.541 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.541 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.541 * [taylor]: Taking taylor expansion of k in n 8.541 * [taylor]: Taking taylor expansion of 1.0 in n 8.541 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.541 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.541 * [taylor]: Taking taylor expansion of -2.0 in n 8.541 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.541 * [taylor]: Taking taylor expansion of PI in n 8.541 * [taylor]: Taking taylor expansion of n in n 8.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.545 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.545 * [taylor]: Taking taylor expansion of 0.5 in k 8.545 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.545 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.545 * [taylor]: Taking taylor expansion of k in k 8.546 * [taylor]: Taking taylor expansion of 1.0 in k 8.546 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.546 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.546 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.546 * [taylor]: Taking taylor expansion of -2.0 in k 8.546 * [taylor]: Taking taylor expansion of PI in k 8.547 * [taylor]: Taking taylor expansion of (log n) in k 8.547 * [taylor]: Taking taylor expansion of n in k 8.556 * [taylor]: Taking taylor expansion of 0 in k 8.570 * [taylor]: Taking taylor expansion of 0 in k 8.579 * [taylor]: Taking taylor expansion of 0 in k 8.580 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 8.580 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/8) in (k) around 0 8.580 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/8) in k 8.580 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (/ 1 k)))) in k 8.580 * [taylor]: Taking taylor expansion of (* 1/8 (log (/ 1 k))) in k 8.580 * [taylor]: Taking taylor expansion of 1/8 in k 8.580 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.580 * [taylor]: Taking taylor expansion of k in k 8.581 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/8) in k 8.581 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (/ 1 k)))) in k 8.581 * [taylor]: Taking taylor expansion of (* 1/8 (log (/ 1 k))) in k 8.581 * [taylor]: Taking taylor expansion of 1/8 in k 8.581 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.581 * [taylor]: Taking taylor expansion of k in k 8.634 * [approximate]: Taking taylor expansion of (pow k 1/8) in (k) around 0 8.634 * [taylor]: Taking taylor expansion of (pow k 1/8) in k 8.634 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log k))) in k 8.634 * [taylor]: Taking taylor expansion of (* 1/8 (log k)) in k 8.634 * [taylor]: Taking taylor expansion of 1/8 in k 8.634 * [taylor]: Taking taylor expansion of (log k) in k 8.634 * [taylor]: Taking taylor expansion of k in k 8.635 * [taylor]: Taking taylor expansion of (pow k 1/8) in k 8.635 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log k))) in k 8.635 * [taylor]: Taking taylor expansion of (* 1/8 (log k)) in k 8.635 * [taylor]: Taking taylor expansion of 1/8 in k 8.635 * [taylor]: Taking taylor expansion of (log k) in k 8.635 * [taylor]: Taking taylor expansion of k in k 8.690 * [approximate]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/4) in (k) around 0 8.690 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/4) in k 8.690 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (sqrt (/ -1 k)))))) in k 8.690 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (sqrt (/ -1 k))))) in k 8.690 * [taylor]: Taking taylor expansion of 1/4 in k 8.690 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 8.690 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.690 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.690 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.690 * [taylor]: Taking taylor expansion of -1 in k 8.690 * [taylor]: Taking taylor expansion of k in k 8.694 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt (/ -1 k))) 1/4) in k 8.694 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (sqrt (/ -1 k)))))) in k 8.694 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (sqrt (/ -1 k))))) in k 8.694 * [taylor]: Taking taylor expansion of 1/4 in k 8.694 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 k)))) in k 8.694 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.694 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.694 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.694 * [taylor]: Taking taylor expansion of -1 in k 8.694 * [taylor]: Taking taylor expansion of k in k 8.743 * * * [progress]: simplifying candidates 8.748 * [simplify]: Simplifying using # : (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (+ (- (log (sqrt (sqrt (sqrt k))))) (- (log 1.0) (log (sqrt (sqrt (sqrt k)))))) (+ (- (log (sqrt (sqrt (sqrt k))))) (log (/ 1.0 (sqrt (sqrt (sqrt k)))))) (+ (- 0 (log (sqrt (sqrt (sqrt k))))) (- (log 1.0) (log (sqrt (sqrt (sqrt k)))))) (+ (- 0 (log (sqrt (sqrt (sqrt k))))) (log (/ 1.0 (sqrt (sqrt (sqrt k)))))) (+ (- (log 1) (log (sqrt (sqrt (sqrt k))))) (- (log 1.0) (log (sqrt (sqrt (sqrt k)))))) (+ (- (log 1) (log (sqrt (sqrt (sqrt k))))) (log (/ 1.0 (sqrt (sqrt (sqrt k)))))) (+ (log (/ 1 (sqrt (sqrt (sqrt k))))) (- (log 1.0) (log (sqrt (sqrt (sqrt k)))))) (+ (log (/ 1 (sqrt (sqrt (sqrt k))))) (log (/ 1.0 (sqrt (sqrt (sqrt k)))))) (log (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (exp (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (* (* (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) (* (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (* (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (cbrt (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (cbrt (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k))))))) (cbrt (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (sqrt (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (sqrt (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* 1 1.0) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt (* (cbrt k) (cbrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt 1))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (* (cbrt k) (cbrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt 1))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt (* (cbrt k) (cbrt k))))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt 1))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 1)) (* (/ 1 (sqrt (sqrt (sqrt k)))) 1) (* (/ 1 (sqrt (sqrt (sqrt k)))) 1.0) (* (cbrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (* (/ (cbrt 1) (cbrt (sqrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (* (/ (cbrt 1) (sqrt (cbrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (* (/ (cbrt 1) (sqrt (sqrt (cbrt (sqrt k))))) (/ 1.0 (sqrt (sqrt 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(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) -1/2 -1 -1/4 -1/2 -1/8 -1/4 -1/8 (- (log (sqrt (sqrt (sqrt k))))) (- (log (sqrt (sqrt (sqrt k))))) (- (log (sqrt (sqrt (sqrt k))))) (- (log (sqrt (sqrt (sqrt k))))) (exp (/ 1 (sqrt (sqrt (sqrt k))))) (pow (/ 1 (sqrt (sqrt (sqrt k)))) 3) (* (cbrt (/ 1 (sqrt (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt (sqrt k)))))) (cbrt (/ 1 (sqrt (sqrt (sqrt k))))) (pow (/ 1 (sqrt (sqrt (sqrt k)))) 3) (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) (sqrt (/ 1 (sqrt (sqrt (sqrt k))))) -1 (- (sqrt (sqrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt (sqrt k))))) (/ 1 (fabs (cbrt (sqrt (sqrt k))))) (/ 1 (sqrt (cbrt (sqrt (sqrt k))))) (/ 1 (sqrt (fabs (cbrt (sqrt k))))) (/ 1 (sqrt (sqrt (cbrt (sqrt k))))) (/ 1 (sqrt (sqrt (fabs (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) (/ 1 (sqrt (sqrt (sqrt (sqrt k))))) 1 (/ 1 (sqrt (sqrt (sqrt 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(exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k -1/8) (pow (/ 1 k) 1/8) (- (pow +nan.0 1/4) (* (pow +nan.0 1/4) (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)))) 10.330 * * * [progress]: adding candidates to table 10.973 * [progress]: [Phase 3 of 3] Extracting. 10.973 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 10.980 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 10.980 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 11.035 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # #) 11.090 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 11.141 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 11.191 * * * [regime]: Found split indices: #