10.470 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.593 * * * [progress]: [2/2] Setting up program. 0.594 * [progress]: [Phase 2 of 3] Improving. 0.596 * [simplify]: Simplifying using # : (*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 0.646 * * [simplify]: iteration 0 : 4933 enodes (cost 22 ) 0.646 * * [simplify]: iteration 1 : 4933 enodes (cost 22 ) 0.647 * [simplify]: Simplified to: (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 0.649 * * [progress]: iteration 1 / 4 0.649 * * * [progress]: picking best candidate 0.651 * * * * [pick]: Picked # 0.651 * * * [progress]: localizing error 0.664 * * * [progress]: generating rewritten candidates 0.664 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.675 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.680 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.702 * * * [progress]: generating series expansions 0.702 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.704 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.704 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.704 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.704 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.704 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.704 * [taylor]: Taking taylor expansion of 1/2 in k 0.704 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.704 * [taylor]: Taking taylor expansion of 1 in k 0.704 * [taylor]: Taking taylor expansion of k in k 0.704 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.704 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.704 * [taylor]: Taking taylor expansion of 2 in k 0.704 * [taylor]: Taking taylor expansion of (* n PI) in k 0.704 * [taylor]: Taking taylor expansion of n in k 0.704 * [taylor]: Taking taylor expansion of PI in k 0.706 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.706 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.706 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.706 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.706 * [taylor]: Taking taylor expansion of 1/2 in n 0.706 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.706 * [taylor]: Taking taylor expansion of 1 in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.706 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.706 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.706 * [taylor]: Taking taylor expansion of 2 in n 0.706 * [taylor]: Taking taylor expansion of (* n PI) in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of PI in n 0.711 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.711 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.711 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.711 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.711 * [taylor]: Taking taylor expansion of 1/2 in n 0.711 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.711 * [taylor]: Taking taylor expansion of 1 in n 0.711 * [taylor]: Taking taylor expansion of k in n 0.711 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.711 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.711 * [taylor]: Taking taylor expansion of 2 in n 0.711 * [taylor]: Taking taylor expansion of (* n PI) in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of PI in n 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k)))) in k 0.715 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k))) in k 0.715 * [taylor]: Taking taylor expansion of 1/2 in k 0.715 * [taylor]: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) (- 1 k)) in k 0.715 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.715 * [taylor]: Taking taylor expansion of (log n) in k 0.715 * [taylor]: Taking taylor expansion of n in k 0.715 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.715 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.715 * [taylor]: Taking taylor expansion of 2 in k 0.715 * [taylor]: Taking taylor expansion of PI in k 0.716 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.716 * [taylor]: Taking taylor expansion of 1 in k 0.716 * [taylor]: Taking taylor expansion of k in k 0.725 * [taylor]: Taking taylor expansion of 0 in k 0.740 * [taylor]: Taking taylor expansion of 0 in k 0.767 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.767 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.767 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.767 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.767 * [taylor]: Taking taylor expansion of 1/2 in k 0.767 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.767 * [taylor]: Taking taylor expansion of 1 in k 0.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.767 * [taylor]: Taking taylor expansion of k in k 0.767 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.767 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.767 * [taylor]: Taking taylor expansion of 2 in k 0.767 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.767 * [taylor]: Taking taylor expansion of PI in k 0.767 * [taylor]: Taking taylor expansion of n in k 0.770 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.770 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.770 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.770 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.770 * [taylor]: Taking taylor expansion of 1/2 in n 0.770 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.770 * [taylor]: Taking taylor expansion of 1 in n 0.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.770 * [taylor]: Taking taylor expansion of k in n 0.770 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.770 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.770 * [taylor]: Taking taylor expansion of 2 in n 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.770 * [taylor]: Taking taylor expansion of PI in n 0.770 * [taylor]: Taking taylor expansion of n in n 0.774 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.775 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.775 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.775 * [taylor]: Taking taylor expansion of 1/2 in n 0.775 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.775 * [taylor]: Taking taylor expansion of 1 in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.775 * [taylor]: Taking taylor expansion of k in n 0.775 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.775 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.775 * [taylor]: Taking taylor expansion of 2 in n 0.775 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.775 * [taylor]: Taking taylor expansion of PI in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))))) in k 0.779 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k)))) in k 0.779 * [taylor]: Taking taylor expansion of 1/2 in k 0.780 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) in k 0.780 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.780 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.780 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.780 * [taylor]: Taking taylor expansion of 2 in k 0.780 * [taylor]: Taking taylor expansion of PI in k 0.780 * [taylor]: Taking taylor expansion of (log n) in k 0.780 * [taylor]: Taking taylor expansion of n in k 0.780 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.780 * [taylor]: Taking taylor expansion of 1 in k 0.780 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.780 * [taylor]: Taking taylor expansion of k in k 0.789 * [taylor]: Taking taylor expansion of 0 in k 0.796 * [taylor]: Taking taylor expansion of 0 in k 0.805 * [taylor]: Taking taylor expansion of 0 in k 0.809 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.809 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.809 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.809 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.810 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.810 * [taylor]: Taking taylor expansion of 1/2 in k 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.810 * [taylor]: Taking taylor expansion of k in k 0.810 * [taylor]: Taking taylor expansion of 1 in k 0.810 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.810 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.810 * [taylor]: Taking taylor expansion of -2 in k 0.810 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.810 * [taylor]: Taking taylor expansion of PI in k 0.810 * [taylor]: Taking taylor expansion of n in k 0.812 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.812 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.812 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.812 * [taylor]: Taking taylor expansion of 1/2 in n 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.812 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.812 * [taylor]: Taking taylor expansion of k in n 0.812 * [taylor]: Taking taylor expansion of 1 in n 0.812 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.812 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.812 * [taylor]: Taking taylor expansion of -2 in n 0.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.812 * [taylor]: Taking taylor expansion of PI in n 0.812 * [taylor]: Taking taylor expansion of n in n 0.816 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.816 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.816 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.816 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.816 * [taylor]: Taking taylor expansion of 1/2 in n 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.816 * [taylor]: Taking taylor expansion of k in n 0.816 * [taylor]: Taking taylor expansion of 1 in n 0.816 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.816 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.816 * [taylor]: Taking taylor expansion of -2 in n 0.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.816 * [taylor]: Taking taylor expansion of PI in n 0.816 * [taylor]: Taking taylor expansion of n in n 0.820 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.820 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.820 * [taylor]: Taking taylor expansion of 1/2 in k 0.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.820 * [taylor]: Taking taylor expansion of k in k 0.820 * [taylor]: Taking taylor expansion of 1 in k 0.820 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.820 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.820 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.820 * [taylor]: Taking taylor expansion of -2 in k 0.820 * [taylor]: Taking taylor expansion of PI in k 0.821 * [taylor]: Taking taylor expansion of (log n) in k 0.821 * [taylor]: Taking taylor expansion of n in k 0.831 * [taylor]: Taking taylor expansion of 0 in k 0.840 * [taylor]: Taking taylor expansion of 0 in k 0.852 * [taylor]: Taking taylor expansion of 0 in k 0.854 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.855 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.855 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.855 * [taylor]: Taking taylor expansion of 2 in n 0.855 * [taylor]: Taking taylor expansion of (* n PI) in n 0.855 * [taylor]: Taking taylor expansion of n in n 0.855 * [taylor]: Taking taylor expansion of PI in n 0.855 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.855 * [taylor]: Taking taylor expansion of 2 in n 0.855 * [taylor]: Taking taylor expansion of (* n PI) in n 0.855 * [taylor]: Taking taylor expansion of n in n 0.855 * [taylor]: Taking taylor expansion of PI in n 0.870 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.870 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.870 * [taylor]: Taking taylor expansion of 2 in n 0.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.870 * [taylor]: Taking taylor expansion of PI in n 0.870 * [taylor]: Taking taylor expansion of n in n 0.871 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.871 * [taylor]: Taking taylor expansion of 2 in n 0.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.871 * [taylor]: Taking taylor expansion of PI in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.882 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.883 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.883 * [taylor]: Taking taylor expansion of -2 in n 0.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.883 * [taylor]: Taking taylor expansion of PI in n 0.883 * [taylor]: Taking taylor expansion of n in n 0.883 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.883 * [taylor]: Taking taylor expansion of -2 in n 0.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.883 * [taylor]: Taking taylor expansion of PI in n 0.883 * [taylor]: Taking taylor expansion of n in n 0.894 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.895 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in (n k) around 0 0.895 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 0.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.895 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.896 * [taylor]: Taking taylor expansion of k in k 0.896 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.897 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.897 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.897 * [taylor]: Taking taylor expansion of 1/2 in k 0.897 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.897 * [taylor]: Taking taylor expansion of 1 in k 0.897 * [taylor]: Taking taylor expansion of k in k 0.897 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.897 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.897 * [taylor]: Taking taylor expansion of 2 in k 0.897 * [taylor]: Taking taylor expansion of (* n PI) in k 0.897 * [taylor]: Taking taylor expansion of n in k 0.897 * [taylor]: Taking taylor expansion of PI in k 0.899 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.899 * [taylor]: Taking taylor expansion of k in n 0.900 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.900 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.900 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.900 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.900 * [taylor]: Taking taylor expansion of 1/2 in n 0.901 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.901 * [taylor]: Taking taylor expansion of 1 in n 0.901 * [taylor]: Taking taylor expansion of k in n 0.901 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.901 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.901 * [taylor]: Taking taylor expansion of 2 in n 0.901 * [taylor]: Taking taylor expansion of (* n PI) in n 0.901 * [taylor]: Taking taylor expansion of n in n 0.901 * [taylor]: Taking taylor expansion of PI in n 0.908 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.908 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.908 * [taylor]: Taking taylor expansion of k in n 0.910 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.910 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.910 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.910 * [taylor]: Taking taylor expansion of 1/2 in n 0.910 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.910 * [taylor]: Taking taylor expansion of 1 in n 0.910 * [taylor]: Taking taylor expansion of k in n 0.910 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.910 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.910 * [taylor]: Taking taylor expansion of 2 in n 0.910 * [taylor]: Taking taylor expansion of (* n PI) in n 0.910 * [taylor]: Taking taylor expansion of n in n 0.910 * [taylor]: Taking taylor expansion of PI in n 0.916 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k))))) in k 0.916 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.916 * [taylor]: Taking taylor expansion of k in k 0.917 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k)))) in k 0.917 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k))) in k 0.917 * [taylor]: Taking taylor expansion of 1/2 in k 0.917 * [taylor]: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) (- 1 k)) in k 0.917 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.917 * [taylor]: Taking taylor expansion of (log n) in k 0.917 * [taylor]: Taking taylor expansion of n in k 0.917 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.917 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.917 * [taylor]: Taking taylor expansion of 2 in k 0.917 * [taylor]: Taking taylor expansion of PI in k 0.917 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.917 * [taylor]: Taking taylor expansion of 1 in k 0.917 * [taylor]: Taking taylor expansion of k in k 0.928 * [taylor]: Taking taylor expansion of 0 in k 0.948 * [taylor]: Taking taylor expansion of 0 in k 0.982 * [taylor]: Taking taylor expansion of 0 in k 1.049 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.049 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.049 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.049 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.049 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.049 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.049 * [taylor]: Taking taylor expansion of 1/2 in k 1.049 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.049 * [taylor]: Taking taylor expansion of 1 in k 1.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.049 * [taylor]: Taking taylor expansion of k in k 1.049 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.049 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.049 * [taylor]: Taking taylor expansion of 2 in k 1.049 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.049 * [taylor]: Taking taylor expansion of PI in k 1.049 * [taylor]: Taking taylor expansion of n in k 1.052 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.052 * [taylor]: Taking taylor expansion of k in k 1.052 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.052 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.052 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.052 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.052 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.052 * [taylor]: Taking taylor expansion of 1/2 in n 1.052 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.052 * [taylor]: Taking taylor expansion of 1 in n 1.053 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.053 * [taylor]: Taking taylor expansion of k in n 1.053 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.053 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.053 * [taylor]: Taking taylor expansion of 2 in n 1.053 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.053 * [taylor]: Taking taylor expansion of PI in n 1.053 * [taylor]: Taking taylor expansion of n in n 1.057 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.057 * [taylor]: Taking taylor expansion of k in n 1.057 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.057 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.057 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.057 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.057 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.057 * [taylor]: Taking taylor expansion of 1/2 in n 1.058 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.058 * [taylor]: Taking taylor expansion of 1 in n 1.058 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.058 * [taylor]: Taking taylor expansion of k in n 1.058 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.058 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.058 * [taylor]: Taking taylor expansion of 2 in n 1.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.058 * [taylor]: Taking taylor expansion of PI in n 1.058 * [taylor]: Taking taylor expansion of n in n 1.062 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.062 * [taylor]: Taking taylor expansion of k in n 1.064 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k)))))) in k 1.064 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.064 * [taylor]: Taking taylor expansion of k in k 1.065 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))))) in k 1.065 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k)))) in k 1.065 * [taylor]: Taking taylor expansion of 1/2 in k 1.065 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) in k 1.065 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.065 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.065 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.065 * [taylor]: Taking taylor expansion of 2 in k 1.065 * [taylor]: Taking taylor expansion of PI in k 1.065 * [taylor]: Taking taylor expansion of (log n) in k 1.065 * [taylor]: Taking taylor expansion of n in k 1.065 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.065 * [taylor]: Taking taylor expansion of 1 in k 1.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.066 * [taylor]: Taking taylor expansion of k in k 1.080 * [taylor]: Taking taylor expansion of 0 in k 1.094 * [taylor]: Taking taylor expansion of 0 in k 1.113 * [taylor]: Taking taylor expansion of 0 in k 1.129 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.129 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.129 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.129 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.129 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.129 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.129 * [taylor]: Taking taylor expansion of 1/2 in k 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.129 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.129 * [taylor]: Taking taylor expansion of k in k 1.130 * [taylor]: Taking taylor expansion of 1 in k 1.130 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.130 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.130 * [taylor]: Taking taylor expansion of -2 in k 1.130 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.130 * [taylor]: Taking taylor expansion of PI in k 1.130 * [taylor]: Taking taylor expansion of n in k 1.132 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.132 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.132 * [taylor]: Taking taylor expansion of -1 in k 1.132 * [taylor]: Taking taylor expansion of k in k 1.133 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.133 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.133 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.133 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.133 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.133 * [taylor]: Taking taylor expansion of 1/2 in n 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.134 * [taylor]: Taking taylor expansion of k in n 1.134 * [taylor]: Taking taylor expansion of 1 in n 1.134 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.134 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.134 * [taylor]: Taking taylor expansion of -2 in n 1.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.134 * [taylor]: Taking taylor expansion of PI in n 1.134 * [taylor]: Taking taylor expansion of n in n 1.137 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.137 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.137 * [taylor]: Taking taylor expansion of -1 in n 1.137 * [taylor]: Taking taylor expansion of k in n 1.141 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.141 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.141 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.141 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.141 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.141 * [taylor]: Taking taylor expansion of 1/2 in n 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.141 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.141 * [taylor]: Taking taylor expansion of k in n 1.141 * [taylor]: Taking taylor expansion of 1 in n 1.141 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.141 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.141 * [taylor]: Taking taylor expansion of -2 in n 1.141 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.141 * [taylor]: Taking taylor expansion of PI in n 1.141 * [taylor]: Taking taylor expansion of n in n 1.147 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.147 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.147 * [taylor]: Taking taylor expansion of -1 in n 1.147 * [taylor]: Taking taylor expansion of k in n 1.150 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.151 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.151 * [taylor]: Taking taylor expansion of 1/2 in k 1.151 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.151 * [taylor]: Taking taylor expansion of k in k 1.151 * [taylor]: Taking taylor expansion of 1 in k 1.151 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.151 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.151 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.151 * [taylor]: Taking taylor expansion of -2 in k 1.151 * [taylor]: Taking taylor expansion of PI in k 1.151 * [taylor]: Taking taylor expansion of (log n) in k 1.151 * [taylor]: Taking taylor expansion of n in k 1.153 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.154 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.154 * [taylor]: Taking taylor expansion of -1 in k 1.154 * [taylor]: Taking taylor expansion of k in k 1.165 * [taylor]: Taking taylor expansion of 0 in k 1.183 * [taylor]: Taking taylor expansion of 0 in k 1.206 * [taylor]: Taking taylor expansion of 0 in k 1.213 * * * [progress]: simplifying candidates 1.215 * [simplify]: Simplifying using # : (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (pow.f64 n (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (log.f64 (sqrt.f64 k))) (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (neg.f64 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) 1) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 1)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 1)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 1 1) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) 1) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 k) (pow.f64 n (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) 1) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 n) 2) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (*.f64 1/4 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 n) (*.f64 (log.f64 (*.f64 2 PI.f64)) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (log.f64 n) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (*.f64 1/2 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k)))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (-.f64 (+.f64 (*.f64 k (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))) (+.f64 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 NAN.f64 5) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))) (+.f64 (*.f64 1/8 (*.f64 NAN.f64 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 NAN.f64 (*.f64 (log.f64 n) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (pow.f64 k 2)))))) (+.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))) (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 n) 2) (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) NAN.f64)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 n) (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (log.f64 n) (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))) (*.f64 1/2 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 3)) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 2)) (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) k))) (+.f64 (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k))))) k) (/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64)) 1.258 * * [simplify]: iteration 0 : 5551 enodes (cost 3537 ) 1.274 * [simplify]: Simplified to: (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (pow.f64 n (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 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(-.f64 1 k) 2)) 3) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 3) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 3) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (neg.f64 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 1 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 k) (pow.f64 n (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))) 1) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 n) 2))) (*.f64 (*.f64 (*.f64 k k) 1/4) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))))) (*.f64 (*.f64 k 1/2) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (-.f64 (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 n) 2))) 1) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) NAN.f64)) (*.f64 NAN.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 (*.f64 (*.f64 k k) 1/4) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))) (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))))))) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 k (+.f64 (pow.f64 NAN.f64 3) (*.f64 k (pow.f64 NAN.f64 5)))))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 k (*.f64 (log.f64 n) NAN.f64)) (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (pow.f64 NAN.f64 3))))) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 (*.f64 k (log.f64 (*.f64 2 PI.f64))) NAN.f64) (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (pow.f64 NAN.f64 3)))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (pow.f64 NAN.f64 5)) (pow.f64 k 3)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (+.f64 (/.f64 (pow.f64 NAN.f64 3) (*.f64 k k)) (/.f64 NAN.f64 k)))) (+.f64 (*.f64 (/.f64 NAN.f64 k) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))) (/.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) NAN.f64)) 1.275 * * * [progress]: adding candidates to table 1.412 * * [progress]: iteration 2 / 4 1.412 * * * [progress]: picking best candidate 1.425 * * * * [pick]: Picked # 1.425 * * * [progress]: localizing error 1.442 * * * [progress]: generating rewritten candidates 1.442 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.457 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.467 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.474 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.499 * * * [progress]: generating series expansions 1.499 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.501 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 1.501 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1.501 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1.501 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1.501 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1.501 * [taylor]: Taking taylor expansion of 1/2 in k 1.501 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.501 * [taylor]: Taking taylor expansion of 1 in k 1.501 * [taylor]: Taking taylor expansion of k in k 1.501 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.501 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.501 * [taylor]: Taking taylor expansion of 2 in k 1.501 * [taylor]: Taking taylor expansion of (* n PI) in k 1.501 * [taylor]: Taking taylor expansion of n in k 1.501 * [taylor]: Taking taylor expansion of PI in k 1.503 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.503 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.503 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.503 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.503 * [taylor]: Taking taylor expansion of 1/2 in n 1.503 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.503 * [taylor]: Taking taylor expansion of 1 in n 1.503 * [taylor]: Taking taylor expansion of k in n 1.503 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.503 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.503 * [taylor]: Taking taylor expansion of 2 in n 1.503 * [taylor]: Taking taylor expansion of (* n PI) in n 1.503 * [taylor]: Taking taylor expansion of n in n 1.503 * [taylor]: Taking taylor expansion of PI in n 1.507 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.508 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.508 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.508 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.508 * [taylor]: Taking taylor expansion of 1/2 in n 1.508 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.508 * [taylor]: Taking taylor expansion of 1 in n 1.508 * [taylor]: Taking taylor expansion of k in n 1.508 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.508 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.508 * [taylor]: Taking taylor expansion of 2 in n 1.508 * [taylor]: Taking taylor expansion of (* n PI) in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.512 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k)))) in k 1.512 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k))) in k 1.512 * [taylor]: Taking taylor expansion of 1/2 in k 1.512 * [taylor]: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) (- 1 k)) in k 1.512 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1.512 * [taylor]: Taking taylor expansion of (log n) in k 1.512 * [taylor]: Taking taylor expansion of n in k 1.512 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.512 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.512 * [taylor]: Taking taylor expansion of 2 in k 1.512 * [taylor]: Taking taylor expansion of PI in k 1.513 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.513 * [taylor]: Taking taylor expansion of 1 in k 1.513 * [taylor]: Taking taylor expansion of k in k 1.519 * [taylor]: Taking taylor expansion of 0 in k 1.532 * [taylor]: Taking taylor expansion of 0 in k 1.559 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 1.559 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.559 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.559 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.559 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.559 * [taylor]: Taking taylor expansion of 1/2 in k 1.559 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.560 * [taylor]: Taking taylor expansion of 1 in k 1.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.560 * [taylor]: Taking taylor expansion of k in k 1.560 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.560 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.560 * [taylor]: Taking taylor expansion of 2 in k 1.560 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.560 * [taylor]: Taking taylor expansion of PI in k 1.560 * [taylor]: Taking taylor expansion of n in k 1.562 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.562 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.562 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.562 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.562 * [taylor]: Taking taylor expansion of 1/2 in n 1.562 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.562 * [taylor]: Taking taylor expansion of 1 in n 1.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.562 * [taylor]: Taking taylor expansion of k in n 1.563 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.563 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.563 * [taylor]: Taking taylor expansion of 2 in n 1.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.563 * [taylor]: Taking taylor expansion of PI in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.568 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.568 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.568 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.568 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.568 * [taylor]: Taking taylor expansion of 1/2 in n 1.568 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.568 * [taylor]: Taking taylor expansion of 1 in n 1.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.568 * [taylor]: Taking taylor expansion of k in n 1.568 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.568 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.568 * [taylor]: Taking taylor expansion of 2 in n 1.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.568 * [taylor]: Taking taylor expansion of PI in n 1.568 * [taylor]: Taking taylor expansion of n in n 1.573 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))))) in k 1.573 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k)))) in k 1.573 * [taylor]: Taking taylor expansion of 1/2 in k 1.573 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) in k 1.573 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.573 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.573 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.573 * [taylor]: Taking taylor expansion of 2 in k 1.573 * [taylor]: Taking taylor expansion of PI in k 1.573 * [taylor]: Taking taylor expansion of (log n) in k 1.573 * [taylor]: Taking taylor expansion of n in k 1.573 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.573 * [taylor]: Taking taylor expansion of 1 in k 1.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.573 * [taylor]: Taking taylor expansion of k in k 1.584 * [taylor]: Taking taylor expansion of 0 in k 1.593 * [taylor]: Taking taylor expansion of 0 in k 1.605 * [taylor]: Taking taylor expansion of 0 in k 1.614 * [approximate]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 1.614 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in k 1.614 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 1.614 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 1.614 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.614 * [taylor]: Taking taylor expansion of 1/2 in k 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.614 * [taylor]: Taking taylor expansion of k in k 1.614 * [taylor]: Taking taylor expansion of 1 in k 1.614 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 1.614 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in k 1.614 * [taylor]: Taking taylor expansion of 2 in k 1.614 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 1.614 * [taylor]: Taking taylor expansion of PI in k 1.614 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 1.614 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.614 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.615 * [taylor]: Taking taylor expansion of -1 in k 1.615 * [taylor]: Taking taylor expansion of n in k 1.621 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.622 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.622 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.622 * [taylor]: Taking taylor expansion of 1/2 in n 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.622 * [taylor]: Taking taylor expansion of k in n 1.622 * [taylor]: Taking taylor expansion of 1 in n 1.622 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.622 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.622 * [taylor]: Taking taylor expansion of 2 in n 1.622 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.622 * [taylor]: Taking taylor expansion of PI in n 1.622 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.622 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.622 * [taylor]: Taking taylor expansion of -1 in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.626 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.626 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.626 * [taylor]: Taking taylor expansion of 1/2 in n 1.626 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.626 * [taylor]: Taking taylor expansion of k in n 1.626 * [taylor]: Taking taylor expansion of 1 in n 1.626 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.626 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.626 * [taylor]: Taking taylor expansion of 2 in n 1.626 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.626 * [taylor]: Taking taylor expansion of PI in n 1.626 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.626 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.626 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.626 * [taylor]: Taking taylor expansion of -1 in n 1.626 * [taylor]: Taking taylor expansion of n in n 1.631 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 1.631 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 1.631 * [taylor]: Taking taylor expansion of 1/2 in k 1.631 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.631 * [taylor]: Taking taylor expansion of k in k 1.631 * [taylor]: Taking taylor expansion of 1 in k 1.631 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 1.631 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 1.631 * [taylor]: Taking taylor expansion of 2 in k 1.631 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.631 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.631 * [taylor]: Taking taylor expansion of NAN in k 1.631 * [taylor]: Taking taylor expansion of PI in k 1.644 * [taylor]: Taking taylor expansion of (* (+ (pow NAN 2) (/ (pow NAN 2) k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) in k 1.644 * [taylor]: Taking taylor expansion of (+ (pow NAN 2) (/ (pow NAN 2) k)) in k 1.644 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.644 * [taylor]: Taking taylor expansion of NAN in k 1.644 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) k) in k 1.644 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.644 * [taylor]: Taking taylor expansion of NAN in k 1.644 * [taylor]: Taking taylor expansion of k in k 1.645 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 1.645 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 1.645 * [taylor]: Taking taylor expansion of 1/2 in k 1.645 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.645 * [taylor]: Taking taylor expansion of k in k 1.645 * [taylor]: Taking taylor expansion of 1 in k 1.645 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 1.645 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 1.645 * [taylor]: Taking taylor expansion of 2 in k 1.645 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.645 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.645 * [taylor]: Taking taylor expansion of NAN in k 1.645 * [taylor]: Taking taylor expansion of PI in k 1.667 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ (pow NAN 4) (pow k 2))) (+ (pow NAN 4) (* 3/2 (/ (pow NAN 4) k)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) in k 1.667 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow NAN 4) (pow k 2))) (+ (pow NAN 4) (* 3/2 (/ (pow NAN 4) k)))) in k 1.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow NAN 4) (pow k 2))) in k 1.667 * [taylor]: Taking taylor expansion of 1/2 in k 1.667 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow k 2)) in k 1.667 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 1.667 * [taylor]: Taking taylor expansion of NAN in k 1.667 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.667 * [taylor]: Taking taylor expansion of k in k 1.668 * [taylor]: Taking taylor expansion of (+ (pow NAN 4) (* 3/2 (/ (pow NAN 4) k))) in k 1.668 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 1.668 * [taylor]: Taking taylor expansion of NAN in k 1.668 * [taylor]: Taking taylor expansion of (* 3/2 (/ (pow NAN 4) k)) in k 1.668 * [taylor]: Taking taylor expansion of 3/2 in k 1.668 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) k) in k 1.668 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 1.668 * [taylor]: Taking taylor expansion of NAN in k 1.668 * [taylor]: Taking taylor expansion of k in k 1.669 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 1.669 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 1.669 * [taylor]: Taking taylor expansion of 1/2 in k 1.669 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.669 * [taylor]: Taking taylor expansion of 1 in k 1.669 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 1.669 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 1.669 * [taylor]: Taking taylor expansion of 2 in k 1.669 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 1.669 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 1.669 * [taylor]: Taking taylor expansion of NAN in k 1.669 * [taylor]: Taking taylor expansion of PI in k 1.694 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.695 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.696 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.696 * [taylor]: Taking taylor expansion of 2 in n 1.696 * [taylor]: Taking taylor expansion of (* n PI) in n 1.696 * [taylor]: Taking taylor expansion of n in n 1.696 * [taylor]: Taking taylor expansion of PI in n 1.696 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.696 * [taylor]: Taking taylor expansion of 2 in n 1.696 * [taylor]: Taking taylor expansion of (* n PI) in n 1.696 * [taylor]: Taking taylor expansion of n in n 1.696 * [taylor]: Taking taylor expansion of PI in n 1.709 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.709 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.709 * [taylor]: Taking taylor expansion of 2 in n 1.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.709 * [taylor]: Taking taylor expansion of PI in n 1.709 * [taylor]: Taking taylor expansion of n in n 1.709 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.709 * [taylor]: Taking taylor expansion of 2 in n 1.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.709 * [taylor]: Taking taylor expansion of PI in n 1.709 * [taylor]: Taking taylor expansion of n in n 1.722 * [approximate]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 1.722 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.722 * [taylor]: Taking taylor expansion of 2 in n 1.722 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.722 * [taylor]: Taking taylor expansion of PI in n 1.722 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.722 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.722 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.722 * [taylor]: Taking taylor expansion of -1 in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.723 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.723 * [taylor]: Taking taylor expansion of 2 in n 1.723 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.723 * [taylor]: Taking taylor expansion of PI in n 1.723 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.723 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.723 * [taylor]: Taking taylor expansion of -1 in n 1.723 * [taylor]: Taking taylor expansion of n in n 1.737 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.737 * [approximate]: Taking taylor expansion of (* 2 (* (sqrt n) PI)) in (n) around 0 1.737 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt n) PI)) in n 1.737 * [taylor]: Taking taylor expansion of 2 in n 1.737 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.737 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.737 * [taylor]: Taking taylor expansion of n in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt n) PI)) in n 1.738 * [taylor]: Taking taylor expansion of 2 in n 1.738 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.738 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.748 * [approximate]: Taking taylor expansion of (* 2 (* (sqrt (/ 1 n)) PI)) in (n) around 0 1.748 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt (/ 1 n)) PI)) in n 1.748 * [taylor]: Taking taylor expansion of 2 in n 1.748 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.749 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt (/ 1 n)) PI)) in n 1.749 * [taylor]: Taking taylor expansion of 2 in n 1.749 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.749 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.750 * [taylor]: Taking taylor expansion of PI in n 1.761 * [approximate]: Taking taylor expansion of (* 2 (* PI (sqrt (/ -1 n)))) in (n) around 0 1.761 * [taylor]: Taking taylor expansion of (* 2 (* PI (sqrt (/ -1 n)))) in n 1.761 * [taylor]: Taking taylor expansion of 2 in n 1.761 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.761 * [taylor]: Taking taylor expansion of PI in n 1.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.761 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.761 * [taylor]: Taking taylor expansion of -1 in n 1.761 * [taylor]: Taking taylor expansion of n in n 1.762 * [taylor]: Taking taylor expansion of (* 2 (* PI (sqrt (/ -1 n)))) in n 1.762 * [taylor]: Taking taylor expansion of 2 in n 1.762 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.762 * [taylor]: Taking taylor expansion of PI in n 1.762 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.762 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.762 * [taylor]: Taking taylor expansion of -1 in n 1.762 * [taylor]: Taking taylor expansion of n in n 1.773 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.775 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in (n k) around 0 1.775 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 1.775 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.775 * [taylor]: Taking taylor expansion of k in k 1.776 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1.776 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1.776 * [taylor]: Taking taylor expansion of 1/2 in k 1.776 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.776 * [taylor]: Taking taylor expansion of 1 in k 1.776 * [taylor]: Taking taylor expansion of k in k 1.776 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.776 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.776 * [taylor]: Taking taylor expansion of 2 in k 1.776 * [taylor]: Taking taylor expansion of (* n PI) in k 1.776 * [taylor]: Taking taylor expansion of n in k 1.776 * [taylor]: Taking taylor expansion of PI in k 1.778 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 1.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.778 * [taylor]: Taking taylor expansion of k in n 1.780 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.780 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.780 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.780 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.780 * [taylor]: Taking taylor expansion of 1/2 in n 1.780 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.780 * [taylor]: Taking taylor expansion of 1 in n 1.780 * [taylor]: Taking taylor expansion of k in n 1.780 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.780 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.780 * [taylor]: Taking taylor expansion of 2 in n 1.780 * [taylor]: Taking taylor expansion of (* n PI) in n 1.780 * [taylor]: Taking taylor expansion of n in n 1.780 * [taylor]: Taking taylor expansion of PI in n 1.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 1.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.784 * [taylor]: Taking taylor expansion of k in n 1.786 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.786 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.786 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.786 * [taylor]: Taking taylor expansion of 1/2 in n 1.786 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.786 * [taylor]: Taking taylor expansion of 1 in n 1.786 * [taylor]: Taking taylor expansion of k in n 1.786 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.786 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.786 * [taylor]: Taking taylor expansion of 2 in n 1.786 * [taylor]: Taking taylor expansion of (* n PI) in n 1.786 * [taylor]: Taking taylor expansion of n in n 1.786 * [taylor]: Taking taylor expansion of PI in n 1.792 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k))))) in k 1.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.792 * [taylor]: Taking taylor expansion of k in k 1.792 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k)))) in k 1.793 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k))) in k 1.793 * [taylor]: Taking taylor expansion of 1/2 in k 1.793 * [taylor]: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) (- 1 k)) in k 1.793 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1.793 * [taylor]: Taking taylor expansion of (log n) in k 1.793 * [taylor]: Taking taylor expansion of n in k 1.793 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.793 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.793 * [taylor]: Taking taylor expansion of 2 in k 1.793 * [taylor]: Taking taylor expansion of PI in k 1.793 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.793 * [taylor]: Taking taylor expansion of 1 in k 1.793 * [taylor]: Taking taylor expansion of k in k 1.803 * [taylor]: Taking taylor expansion of 0 in k 1.824 * [taylor]: Taking taylor expansion of 0 in k 1.860 * [taylor]: Taking taylor expansion of 0 in k 1.928 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.928 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.928 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.928 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.928 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.928 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.928 * [taylor]: Taking taylor expansion of 1/2 in k 1.928 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.928 * [taylor]: Taking taylor expansion of 1 in k 1.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.928 * [taylor]: Taking taylor expansion of k in k 1.929 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.929 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.929 * [taylor]: Taking taylor expansion of 2 in k 1.929 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.929 * [taylor]: Taking taylor expansion of PI in k 1.929 * [taylor]: Taking taylor expansion of n in k 1.931 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.931 * [taylor]: Taking taylor expansion of k in k 1.932 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.932 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.932 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.932 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.932 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.932 * [taylor]: Taking taylor expansion of 1/2 in n 1.932 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.932 * [taylor]: Taking taylor expansion of 1 in n 1.932 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.932 * [taylor]: Taking taylor expansion of k in n 1.932 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.932 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.932 * [taylor]: Taking taylor expansion of 2 in n 1.932 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.932 * [taylor]: Taking taylor expansion of PI in n 1.932 * [taylor]: Taking taylor expansion of n in n 1.937 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.937 * [taylor]: Taking taylor expansion of k in n 1.938 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.938 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.938 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.938 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.938 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.938 * [taylor]: Taking taylor expansion of 1/2 in n 1.938 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.938 * [taylor]: Taking taylor expansion of 1 in n 1.938 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.938 * [taylor]: Taking taylor expansion of k in n 1.938 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.938 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.938 * [taylor]: Taking taylor expansion of 2 in n 1.938 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.938 * [taylor]: Taking taylor expansion of PI in n 1.938 * [taylor]: Taking taylor expansion of n in n 1.943 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.943 * [taylor]: Taking taylor expansion of k in n 1.945 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k)))))) in k 1.945 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.945 * [taylor]: Taking taylor expansion of k in k 1.945 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))))) in k 1.945 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k)))) in k 1.945 * [taylor]: Taking taylor expansion of 1/2 in k 1.945 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) in k 1.945 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.945 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.945 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.945 * [taylor]: Taking taylor expansion of 2 in k 1.945 * [taylor]: Taking taylor expansion of PI in k 1.946 * [taylor]: Taking taylor expansion of (log n) in k 1.946 * [taylor]: Taking taylor expansion of n in k 1.946 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.946 * [taylor]: Taking taylor expansion of 1 in k 1.946 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.946 * [taylor]: Taking taylor expansion of k in k 1.959 * [taylor]: Taking taylor expansion of 0 in k 1.974 * [taylor]: Taking taylor expansion of 0 in k 1.993 * [taylor]: Taking taylor expansion of 0 in k 2.010 * [approximate]: Taking taylor expansion of (/ (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 2.010 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 2.011 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in k 2.011 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 2.011 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 2.011 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 2.011 * [taylor]: Taking taylor expansion of 1/2 in k 2.011 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.011 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.011 * [taylor]: Taking taylor expansion of k in k 2.011 * [taylor]: Taking taylor expansion of 1 in k 2.011 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 2.011 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in k 2.011 * [taylor]: Taking taylor expansion of 2 in k 2.011 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 2.011 * [taylor]: Taking taylor expansion of PI in k 2.011 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 2.011 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 2.011 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.011 * [taylor]: Taking taylor expansion of -1 in k 2.011 * [taylor]: Taking taylor expansion of n in k 2.018 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.018 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.018 * [taylor]: Taking taylor expansion of -1 in k 2.018 * [taylor]: Taking taylor expansion of k in k 2.020 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 2.020 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in n 2.020 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.020 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.020 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 2.020 * [taylor]: Taking taylor expansion of 1/2 in n 2.020 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 2.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.020 * [taylor]: Taking taylor expansion of k in n 2.020 * [taylor]: Taking taylor expansion of 1 in n 2.020 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.020 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.020 * [taylor]: Taking taylor expansion of 2 in n 2.020 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.020 * [taylor]: Taking taylor expansion of PI in n 2.021 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.021 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.021 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.021 * [taylor]: Taking taylor expansion of -1 in n 2.021 * [taylor]: Taking taylor expansion of n in n 2.024 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.024 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.024 * [taylor]: Taking taylor expansion of -1 in n 2.024 * [taylor]: Taking taylor expansion of k in n 2.027 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 2.027 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in n 2.027 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.027 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.027 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 2.027 * [taylor]: Taking taylor expansion of 1/2 in n 2.027 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 2.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.027 * [taylor]: Taking taylor expansion of k in n 2.028 * [taylor]: Taking taylor expansion of 1 in n 2.028 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.028 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.028 * [taylor]: Taking taylor expansion of 2 in n 2.028 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.028 * [taylor]: Taking taylor expansion of PI in n 2.028 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.028 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.028 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.028 * [taylor]: Taking taylor expansion of -1 in n 2.028 * [taylor]: Taking taylor expansion of n in n 2.031 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.031 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.031 * [taylor]: Taking taylor expansion of -1 in n 2.031 * [taylor]: Taking taylor expansion of k in n 2.035 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) (sqrt (/ -1 k))) in k 2.035 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 2.035 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 2.035 * [taylor]: Taking taylor expansion of 1/2 in k 2.035 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.035 * [taylor]: Taking taylor expansion of k in k 2.035 * [taylor]: Taking taylor expansion of 1 in k 2.035 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 2.035 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 2.035 * [taylor]: Taking taylor expansion of 2 in k 2.035 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.035 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.035 * [taylor]: Taking taylor expansion of NAN in k 2.035 * [taylor]: Taking taylor expansion of PI in k 2.038 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.038 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.038 * [taylor]: Taking taylor expansion of -1 in k 2.038 * [taylor]: Taking taylor expansion of k in k 2.054 * [taylor]: Taking taylor expansion of (+ (/ (* (pow NAN 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) (* k (sqrt (/ -1 k)))) (/ (* (pow NAN 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) (sqrt (/ -1 k)))) in k 2.054 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) (* k (sqrt (/ -1 k)))) in k 2.054 * [taylor]: Taking taylor expansion of (* (pow NAN 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) in k 2.054 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.054 * [taylor]: Taking taylor expansion of NAN in k 2.054 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 2.054 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 2.054 * [taylor]: Taking taylor expansion of 1/2 in k 2.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 2.054 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.054 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.054 * [taylor]: Taking taylor expansion of k in k 2.054 * [taylor]: Taking taylor expansion of 1 in k 2.054 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 2.054 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 2.054 * [taylor]: Taking taylor expansion of 2 in k 2.054 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.054 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.054 * [taylor]: Taking taylor expansion of NAN in k 2.054 * [taylor]: Taking taylor expansion of PI in k 2.057 * [taylor]: Taking taylor expansion of (* k (sqrt (/ -1 k))) in k 2.057 * [taylor]: Taking taylor expansion of k in k 2.057 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.057 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.057 * [taylor]: Taking taylor expansion of -1 in k 2.057 * [taylor]: Taking taylor expansion of k in k 2.063 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) (sqrt (/ -1 k))) in k 2.063 * [taylor]: Taking taylor expansion of (* (pow NAN 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) in k 2.063 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.063 * [taylor]: Taking taylor expansion of NAN in k 2.063 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 2.063 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 2.063 * [taylor]: Taking taylor expansion of 1/2 in k 2.063 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.063 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.063 * [taylor]: Taking taylor expansion of k in k 2.063 * [taylor]: Taking taylor expansion of 1 in k 2.063 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 2.063 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 2.063 * [taylor]: Taking taylor expansion of 2 in k 2.063 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.063 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.063 * [taylor]: Taking taylor expansion of NAN in k 2.063 * [taylor]: Taking taylor expansion of PI in k 2.066 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.066 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.066 * [taylor]: Taking taylor expansion of -1 in k 2.066 * [taylor]: Taking taylor expansion of k in k 2.099 * * * [progress]: simplifying candidates 2.101 * [simplify]: Simplifying using # : (pow.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (pow.f64 (sqrt.f64 n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 1 k)) 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 1 (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) 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(-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 1)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 1 1) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) 1) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 k 2))) (/.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (/.f64 (-.f64 1 k) 2) 2))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) 1) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 n) 2) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (*.f64 1/4 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 n) (*.f64 (log.f64 (*.f64 2 PI.f64)) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (log.f64 n) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (*.f64 1/2 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k)))) (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 4) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) (pow.f64 n 2)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) (/.f64 (*.f64 (pow.f64 NAN.f64 2) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) n)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (-.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64)) (*.f64 6 (/.f64 (*.f64 (pow.f64 NAN.f64 6) PI.f64) (pow.f64 n 2)))) (*.f64 4 (/.f64 (*.f64 (pow.f64 NAN.f64 4) PI.f64) n))) (+.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (pow.f64 n 2) PI.f64))) (+.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 n 3) PI.f64))) (*.f64 2 (*.f64 NAN.f64 (*.f64 n PI.f64))))) (+.f64 (*.f64 2 (*.f64 NAN.f64 PI.f64)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 NAN.f64 3) PI.f64) n)) (*.f64 2 (/.f64 (*.f64 (pow.f64 NAN.f64 5) PI.f64) (pow.f64 n 2))))) (-.f64 (+.f64 (*.f64 2 (*.f64 NAN.f64 PI.f64)) (*.f64 2 (/.f64 (*.f64 (pow.f64 NAN.f64 5) PI.f64) (pow.f64 n 2)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 NAN.f64 3) PI.f64) n))) (-.f64 (+.f64 (*.f64 k (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))) (+.f64 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 NAN.f64 5) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))) (+.f64 (*.f64 1/8 (*.f64 NAN.f64 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 NAN.f64 (*.f64 (log.f64 n) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (pow.f64 k 2)))))) (+.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))) (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 n) 2) (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) NAN.f64)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 n) (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (log.f64 n) (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))) (*.f64 1/2 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 3)) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 2)) (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) k))) (-.f64 (+.f64 (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) k) (+.f64 (/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64)))))) NAN.f64) (/.f64 (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) n))) (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) n)) 2.201 * * [simplify]: iteration 0 : 4950 enodes (cost 4348 ) 2.201 * * [simplify]: iteration 1 : 4950 enodes (cost 4348 ) 2.221 * [simplify]: Simplified to: (pow.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) 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2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2)))) (+.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (log.f64 n) 2)))) (*.f64 1/4 (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 2 PI.f64))))))))) (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 k (log.f64 n)) (*.f64 k (log.f64 (*.f64 2 PI.f64))))))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (-.f64 (+.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k))) (*.f64 (/.f64 (pow.f64 NAN.f64 4) (*.f64 n n)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k))))) (*.f64 (/.f64 (pow.f64 NAN.f64 2) n) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k))))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (-.f64 (+.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (*.f64 6 (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 6)) (*.f64 n n)))) (*.f64 4 (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 4)) n))) (*.f64 2 (+.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 PI.f64 (*.f64 n n))) (*.f64 PI.f64 (+.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 n 3)) (*.f64 n NAN.f64))))) (*.f64 2 (+.f64 (*.f64 PI.f64 NAN.f64) (+.f64 (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 3)) n) (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 5)) (*.f64 n n))))) (*.f64 2 (-.f64 (+.f64 (*.f64 PI.f64 NAN.f64) (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 5)) (*.f64 n n))) (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 3)) n))) (+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 k (pow.f64 NAN.f64 3)) (*.f64 (*.f64 k k) (pow.f64 NAN.f64 5)))) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))) NAN.f64)) (+.f64 (*.f64 1/4 (*.f64 (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 2 PI.f64))))) NAN.f64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) NAN.f64) (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (pow.f64 (log.f64 n) 2) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) NAN.f64))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) NAN.f64)))) (*.f64 1/2 (+.f64 (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 NAN.f64 3)))) (+.f64 (*.f64 k (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) NAN.f64))) (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 NAN.f64 3)))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (pow.f64 NAN.f64 5)) (pow.f64 k 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (pow.f64 NAN.f64 3)) (*.f64 k k)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) NAN.f64) k))) (-.f64 (+.f64 (*.f64 (/.f64 NAN.f64 k) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k)))) (+.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k))) NAN.f64) (*.f64 (/.f64 (pow.f64 NAN.f64 3) n) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k)))))) (*.f64 (/.f64 NAN.f64 n) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k))))) 2.222 * * * [progress]: adding candidates to table 2.354 * * [progress]: iteration 3 / 4 2.354 * * * [progress]: picking best candidate 2.370 * * * * [pick]: Picked # 2.370 * * * [progress]: localizing error 2.393 * * * [progress]: generating rewritten candidates 2.393 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.408 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.430 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 2.458 * * * [progress]: generating series expansions 2.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.460 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 2.460 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 2.460 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 2.460 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 2.460 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 2.460 * [taylor]: Taking taylor expansion of 1/2 in k 2.460 * [taylor]: Taking taylor expansion of (- 1 k) in k 2.460 * [taylor]: Taking taylor expansion of 1 in k 2.460 * [taylor]: Taking taylor expansion of k in k 2.460 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 2.460 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 2.460 * [taylor]: Taking taylor expansion of 2 in k 2.460 * [taylor]: Taking taylor expansion of (* n PI) in k 2.460 * [taylor]: Taking taylor expansion of n in k 2.460 * [taylor]: Taking taylor expansion of PI in k 2.462 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 2.462 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 2.462 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 2.462 * [taylor]: Taking taylor expansion of 1/2 in n 2.462 * [taylor]: Taking taylor expansion of (- 1 k) in n 2.462 * [taylor]: Taking taylor expansion of 1 in n 2.462 * [taylor]: Taking taylor expansion of k in n 2.462 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.462 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.462 * [taylor]: Taking taylor expansion of 2 in n 2.462 * [taylor]: Taking taylor expansion of (* n PI) in n 2.462 * [taylor]: Taking taylor expansion of n in n 2.462 * [taylor]: Taking taylor expansion of PI in n 2.466 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 2.467 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 2.467 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 2.467 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 2.467 * [taylor]: Taking taylor expansion of 1/2 in n 2.467 * [taylor]: Taking taylor expansion of (- 1 k) in n 2.467 * [taylor]: Taking taylor expansion of 1 in n 2.467 * [taylor]: Taking taylor expansion of k in n 2.467 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.467 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.467 * [taylor]: Taking taylor expansion of 2 in n 2.467 * [taylor]: Taking taylor expansion of (* n PI) in n 2.467 * [taylor]: Taking taylor expansion of n in n 2.467 * [taylor]: Taking taylor expansion of PI in n 2.471 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k)))) in k 2.471 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k))) in k 2.471 * [taylor]: Taking taylor expansion of 1/2 in k 2.471 * [taylor]: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) (- 1 k)) in k 2.471 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 2.471 * [taylor]: Taking taylor expansion of (log n) in k 2.471 * [taylor]: Taking taylor expansion of n in k 2.471 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.471 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.471 * [taylor]: Taking taylor expansion of 2 in k 2.471 * [taylor]: Taking taylor expansion of PI in k 2.472 * [taylor]: Taking taylor expansion of (- 1 k) in k 2.472 * [taylor]: Taking taylor expansion of 1 in k 2.472 * [taylor]: Taking taylor expansion of k in k 2.480 * [taylor]: Taking taylor expansion of 0 in k 2.496 * [taylor]: Taking taylor expansion of 0 in k 2.523 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 2.523 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 2.523 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 2.523 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 2.523 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 2.523 * [taylor]: Taking taylor expansion of 1/2 in k 2.523 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 2.523 * [taylor]: Taking taylor expansion of 1 in k 2.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.524 * [taylor]: Taking taylor expansion of k in k 2.524 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 2.524 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 2.524 * [taylor]: Taking taylor expansion of 2 in k 2.524 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.524 * [taylor]: Taking taylor expansion of PI in k 2.524 * [taylor]: Taking taylor expansion of n in k 2.526 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 2.526 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 2.526 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 2.526 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 2.526 * [taylor]: Taking taylor expansion of 1/2 in n 2.526 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 2.526 * [taylor]: Taking taylor expansion of 1 in n 2.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.526 * [taylor]: Taking taylor expansion of k in n 2.526 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.526 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.526 * [taylor]: Taking taylor expansion of 2 in n 2.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.526 * [taylor]: Taking taylor expansion of PI in n 2.526 * [taylor]: Taking taylor expansion of n in n 2.530 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 2.530 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 2.530 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 2.530 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 2.530 * [taylor]: Taking taylor expansion of 1/2 in n 2.530 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 2.530 * [taylor]: Taking taylor expansion of 1 in n 2.530 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.530 * [taylor]: Taking taylor expansion of k in n 2.530 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.530 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.530 * [taylor]: Taking taylor expansion of 2 in n 2.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.531 * [taylor]: Taking taylor expansion of PI in n 2.531 * [taylor]: Taking taylor expansion of n in n 2.534 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))))) in k 2.534 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k)))) in k 2.534 * [taylor]: Taking taylor expansion of 1/2 in k 2.534 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) in k 2.534 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.534 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.534 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.535 * [taylor]: Taking taylor expansion of 2 in k 2.535 * [taylor]: Taking taylor expansion of PI in k 2.535 * [taylor]: Taking taylor expansion of (log n) in k 2.535 * [taylor]: Taking taylor expansion of n in k 2.535 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 2.535 * [taylor]: Taking taylor expansion of 1 in k 2.535 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.535 * [taylor]: Taking taylor expansion of k in k 2.544 * [taylor]: Taking taylor expansion of 0 in k 2.551 * [taylor]: Taking taylor expansion of 0 in k 2.560 * [taylor]: Taking taylor expansion of 0 in k 2.565 * [approximate]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 2.565 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in k 2.565 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 2.565 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 2.566 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 2.566 * [taylor]: Taking taylor expansion of 1/2 in k 2.566 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.566 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.566 * [taylor]: Taking taylor expansion of k in k 2.566 * [taylor]: Taking taylor expansion of 1 in k 2.566 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 2.566 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in k 2.566 * [taylor]: Taking taylor expansion of 2 in k 2.566 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 2.566 * [taylor]: Taking taylor expansion of PI in k 2.566 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 2.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 2.566 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.566 * [taylor]: Taking taylor expansion of -1 in k 2.566 * [taylor]: Taking taylor expansion of n in k 2.573 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.573 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.573 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 2.573 * [taylor]: Taking taylor expansion of 1/2 in n 2.573 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 2.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.573 * [taylor]: Taking taylor expansion of k in n 2.573 * [taylor]: Taking taylor expansion of 1 in n 2.573 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.573 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.573 * [taylor]: Taking taylor expansion of 2 in n 2.573 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.573 * [taylor]: Taking taylor expansion of PI in n 2.573 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.573 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.573 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.573 * [taylor]: Taking taylor expansion of -1 in n 2.573 * [taylor]: Taking taylor expansion of n in n 2.577 * [taylor]: Taking taylor expansion of (pow (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) (* 1/2 (+ (/ 1 k) 1))) in n 2.577 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.577 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.577 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 2.577 * [taylor]: Taking taylor expansion of 1/2 in n 2.577 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 2.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.577 * [taylor]: Taking taylor expansion of k in n 2.577 * [taylor]: Taking taylor expansion of 1 in n 2.577 * [taylor]: Taking taylor expansion of (log (* 2 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.577 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.577 * [taylor]: Taking taylor expansion of 2 in n 2.577 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.577 * [taylor]: Taking taylor expansion of PI in n 2.577 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.577 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.577 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.577 * [taylor]: Taking taylor expansion of -1 in n 2.577 * [taylor]: Taking taylor expansion of n in n 2.580 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 2.580 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 2.580 * [taylor]: Taking taylor expansion of 1/2 in k 2.580 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 2.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.581 * [taylor]: Taking taylor expansion of k in k 2.581 * [taylor]: Taking taylor expansion of 1 in k 2.581 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 2.581 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 2.581 * [taylor]: Taking taylor expansion of 2 in k 2.581 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.581 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.581 * [taylor]: Taking taylor expansion of NAN in k 2.581 * [taylor]: Taking taylor expansion of PI in k 2.591 * [taylor]: Taking taylor expansion of (* (+ (pow NAN 2) (/ (pow NAN 2) k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) in k 2.591 * [taylor]: Taking taylor expansion of (+ (pow NAN 2) (/ (pow NAN 2) k)) in k 2.591 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.591 * [taylor]: Taking taylor expansion of NAN in k 2.591 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) k) in k 2.591 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.591 * [taylor]: Taking taylor expansion of NAN in k 2.591 * [taylor]: Taking taylor expansion of k in k 2.592 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 2.592 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 2.592 * [taylor]: Taking taylor expansion of 1/2 in k 2.592 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 2.592 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.592 * [taylor]: Taking taylor expansion of k in k 2.592 * [taylor]: Taking taylor expansion of 1 in k 2.592 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 2.592 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 2.592 * [taylor]: Taking taylor expansion of 2 in k 2.592 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.592 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.592 * [taylor]: Taking taylor expansion of NAN in k 2.592 * [taylor]: Taking taylor expansion of PI in k 2.609 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ (pow NAN 4) (pow k 2))) (+ (pow NAN 4) (* 3/2 (/ (pow NAN 4) k)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))))) in k 2.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow NAN 4) (pow k 2))) (+ (pow NAN 4) (* 3/2 (/ (pow NAN 4) k)))) in k 2.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow NAN 4) (pow k 2))) in k 2.610 * [taylor]: Taking taylor expansion of 1/2 in k 2.610 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow k 2)) in k 2.610 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 2.610 * [taylor]: Taking taylor expansion of NAN in k 2.610 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.610 * [taylor]: Taking taylor expansion of k in k 2.610 * [taylor]: Taking taylor expansion of (+ (pow NAN 4) (* 3/2 (/ (pow NAN 4) k))) in k 2.610 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 2.610 * [taylor]: Taking taylor expansion of NAN in k 2.610 * [taylor]: Taking taylor expansion of (* 3/2 (/ (pow NAN 4) k)) in k 2.610 * [taylor]: Taking taylor expansion of 3/2 in k 2.610 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) k) in k 2.610 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 2.610 * [taylor]: Taking taylor expansion of NAN in k 2.610 * [taylor]: Taking taylor expansion of k in k 2.611 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))))) in k 2.611 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI))))) in k 2.611 * [taylor]: Taking taylor expansion of 1/2 in k 2.611 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 (* (pow NAN 2) PI)))) in k 2.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.611 * [taylor]: Taking taylor expansion of k in k 2.611 * [taylor]: Taking taylor expansion of 1 in k 2.611 * [taylor]: Taking taylor expansion of (log (* 2 (* (pow NAN 2) PI))) in k 2.611 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) PI)) in k 2.611 * [taylor]: Taking taylor expansion of 2 in k 2.611 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 2.611 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 2.611 * [taylor]: Taking taylor expansion of NAN in k 2.611 * [taylor]: Taking taylor expansion of PI in k 2.636 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.637 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 2.637 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 2.637 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 2.637 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 2.637 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 2.637 * [taylor]: Taking taylor expansion of 1/2 in k 2.637 * [taylor]: Taking taylor expansion of (- 1 k) in k 2.637 * [taylor]: Taking taylor expansion of 1 in k 2.637 * [taylor]: Taking taylor expansion of k in k 2.637 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 2.637 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 2.637 * [taylor]: Taking taylor expansion of 2 in k 2.637 * [taylor]: Taking taylor expansion of (* n PI) in k 2.637 * [taylor]: Taking taylor expansion of n in k 2.637 * [taylor]: Taking taylor expansion of PI in k 2.638 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 2.638 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 2.638 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 2.638 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 2.639 * [taylor]: Taking taylor expansion of 1/2 in n 2.639 * [taylor]: Taking taylor expansion of (- 1 k) in n 2.639 * [taylor]: Taking taylor expansion of 1 in n 2.639 * [taylor]: Taking taylor expansion of k in n 2.639 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.639 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.639 * [taylor]: Taking taylor expansion of 2 in n 2.639 * [taylor]: Taking taylor expansion of (* n PI) in n 2.639 * [taylor]: Taking taylor expansion of n in n 2.639 * [taylor]: Taking taylor expansion of PI in n 2.642 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 2.642 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 2.642 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 2.642 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 2.642 * [taylor]: Taking taylor expansion of 1/2 in n 2.642 * [taylor]: Taking taylor expansion of (- 1 k) in n 2.642 * [taylor]: Taking taylor expansion of 1 in n 2.642 * [taylor]: Taking taylor expansion of k in n 2.642 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.642 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.642 * [taylor]: Taking taylor expansion of 2 in n 2.642 * [taylor]: Taking taylor expansion of (* n PI) in n 2.642 * [taylor]: Taking taylor expansion of n in n 2.642 * [taylor]: Taking taylor expansion of PI in n 2.646 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k)))) in k 2.646 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) (- 1 k))) in k 2.646 * [taylor]: Taking taylor expansion of 1/2 in k 2.646 * [taylor]: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) (- 1 k)) in k 2.646 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 2.646 * [taylor]: Taking taylor expansion of (log n) in k 2.646 * [taylor]: Taking taylor expansion of n in k 2.646 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.646 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.646 * [taylor]: Taking taylor expansion of 2 in k 2.646 * [taylor]: Taking taylor expansion of PI in k 2.646 * [taylor]: Taking taylor expansion of (- 1 k) in k 2.646 * [taylor]: Taking taylor expansion of 1 in k 2.646 * [taylor]: Taking taylor expansion of k in k 2.653 * [taylor]: Taking taylor expansion of 0 in k 2.665 * [taylor]: Taking taylor expansion of 0 in k 2.694 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 2.694 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 2.694 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 2.694 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 2.694 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 2.694 * [taylor]: Taking taylor expansion of 1/2 in k 2.694 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 2.694 * [taylor]: Taking taylor expansion of 1 in k 2.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.694 * [taylor]: Taking taylor expansion of k in k 2.694 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 2.694 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 2.694 * [taylor]: Taking taylor expansion of 2 in k 2.694 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.694 * [taylor]: Taking taylor expansion of PI in k 2.694 * [taylor]: Taking taylor expansion of n in k 2.696 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 2.696 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 2.696 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 2.696 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 2.696 * [taylor]: Taking taylor expansion of 1/2 in n 2.696 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 2.696 * [taylor]: Taking taylor expansion of 1 in n 2.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.696 * [taylor]: Taking taylor expansion of k in n 2.697 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.697 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.697 * [taylor]: Taking taylor expansion of 2 in n 2.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.697 * [taylor]: Taking taylor expansion of PI in n 2.697 * [taylor]: Taking taylor expansion of n in n 2.700 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 2.700 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 2.700 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 2.700 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 2.700 * [taylor]: Taking taylor expansion of 1/2 in n 2.700 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 2.700 * [taylor]: Taking taylor expansion of 1 in n 2.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.700 * [taylor]: Taking taylor expansion of k in n 2.700 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.701 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.701 * [taylor]: Taking taylor expansion of 2 in n 2.701 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.701 * [taylor]: Taking taylor expansion of PI in n 2.701 * [taylor]: Taking taylor expansion of n in n 2.704 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))))) in k 2.704 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k)))) in k 2.704 * [taylor]: Taking taylor expansion of 1/2 in k 2.704 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1 (/ 1 k))) in k 2.704 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.704 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.704 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.704 * [taylor]: Taking taylor expansion of 2 in k 2.704 * [taylor]: Taking taylor expansion of PI in k 2.705 * [taylor]: Taking taylor expansion of (log n) in k 2.705 * [taylor]: Taking taylor expansion of n in k 2.705 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 2.705 * [taylor]: Taking taylor expansion of 1 in k 2.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.705 * [taylor]: Taking taylor expansion of k in k 2.714 * [taylor]: Taking taylor expansion of 0 in k 2.724 * [taylor]: Taking taylor expansion of 0 in k 2.736 * [taylor]: Taking taylor expansion of 0 in k 2.740 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 2.740 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 2.740 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 2.740 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 2.740 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 2.740 * [taylor]: Taking taylor expansion of 1/2 in k 2.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.740 * [taylor]: Taking taylor expansion of k in k 2.740 * [taylor]: Taking taylor expansion of 1 in k 2.740 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 2.740 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.740 * [taylor]: Taking taylor expansion of -2 in k 2.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.740 * [taylor]: Taking taylor expansion of PI in k 2.740 * [taylor]: Taking taylor expansion of n in k 2.742 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 2.742 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 2.742 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 2.742 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 2.742 * [taylor]: Taking taylor expansion of 1/2 in n 2.742 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 2.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.742 * [taylor]: Taking taylor expansion of k in n 2.742 * [taylor]: Taking taylor expansion of 1 in n 2.742 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.742 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.742 * [taylor]: Taking taylor expansion of -2 in n 2.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.742 * [taylor]: Taking taylor expansion of PI in n 2.742 * [taylor]: Taking taylor expansion of n in n 2.745 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 2.745 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 2.745 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 2.745 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 2.745 * [taylor]: Taking taylor expansion of 1/2 in n 2.745 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 2.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.746 * [taylor]: Taking taylor expansion of k in n 2.746 * [taylor]: Taking taylor expansion of 1 in n 2.746 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.746 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.746 * [taylor]: Taking taylor expansion of -2 in n 2.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.746 * [taylor]: Taking taylor expansion of PI in n 2.746 * [taylor]: Taking taylor expansion of n in n 2.749 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 2.749 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 2.749 * [taylor]: Taking taylor expansion of 1/2 in k 2.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 2.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.749 * [taylor]: Taking taylor expansion of k in k 2.749 * [taylor]: Taking taylor expansion of 1 in k 2.749 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.749 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.749 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.749 * [taylor]: Taking taylor expansion of -2 in k 2.749 * [taylor]: Taking taylor expansion of PI in k 2.749 * [taylor]: Taking taylor expansion of (log n) in k 2.749 * [taylor]: Taking taylor expansion of n in k 2.757 * [taylor]: Taking taylor expansion of 0 in k 2.765 * [taylor]: Taking taylor expansion of 0 in k 2.776 * [taylor]: Taking taylor expansion of 0 in k 2.779 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.779 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.780 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.780 * [taylor]: Taking taylor expansion of 2 in n 2.780 * [taylor]: Taking taylor expansion of (* n PI) in n 2.780 * [taylor]: Taking taylor expansion of n in n 2.780 * [taylor]: Taking taylor expansion of PI in n 2.780 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.780 * [taylor]: Taking taylor expansion of 2 in n 2.780 * [taylor]: Taking taylor expansion of (* n PI) in n 2.780 * [taylor]: Taking taylor expansion of n in n 2.780 * [taylor]: Taking taylor expansion of PI in n 2.793 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.793 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.793 * [taylor]: Taking taylor expansion of 2 in n 2.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.793 * [taylor]: Taking taylor expansion of PI in n 2.793 * [taylor]: Taking taylor expansion of n in n 2.793 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.793 * [taylor]: Taking taylor expansion of 2 in n 2.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.793 * [taylor]: Taking taylor expansion of PI in n 2.793 * [taylor]: Taking taylor expansion of n in n 2.805 * [approximate]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 2.805 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.805 * [taylor]: Taking taylor expansion of 2 in n 2.805 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.805 * [taylor]: Taking taylor expansion of PI in n 2.805 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.805 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.805 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.805 * [taylor]: Taking taylor expansion of -1 in n 2.805 * [taylor]: Taking taylor expansion of n in n 2.806 * [taylor]: Taking taylor expansion of (* 2 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.806 * [taylor]: Taking taylor expansion of 2 in n 2.806 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.806 * [taylor]: Taking taylor expansion of PI in n 2.806 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.806 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.806 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.806 * [taylor]: Taking taylor expansion of -1 in n 2.806 * [taylor]: Taking taylor expansion of n in n 2.819 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 2.820 * [approximate]: Taking taylor expansion of (* 2 (* (sqrt n) PI)) in (n) around 0 2.820 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt n) PI)) in n 2.820 * [taylor]: Taking taylor expansion of 2 in n 2.820 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.820 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.820 * [taylor]: Taking taylor expansion of n in n 2.820 * [taylor]: Taking taylor expansion of PI in n 2.820 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt n) PI)) in n 2.820 * [taylor]: Taking taylor expansion of 2 in n 2.820 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.820 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.820 * [taylor]: Taking taylor expansion of n in n 2.821 * [taylor]: Taking taylor expansion of PI in n 2.830 * [approximate]: Taking taylor expansion of (* 2 (* (sqrt (/ 1 n)) PI)) in (n) around 0 2.830 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt (/ 1 n)) PI)) in n 2.830 * [taylor]: Taking taylor expansion of 2 in n 2.830 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.830 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.830 * [taylor]: Taking taylor expansion of n in n 2.831 * [taylor]: Taking taylor expansion of PI in n 2.831 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt (/ 1 n)) PI)) in n 2.831 * [taylor]: Taking taylor expansion of 2 in n 2.831 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.831 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.831 * [taylor]: Taking taylor expansion of n in n 2.831 * [taylor]: Taking taylor expansion of PI in n 2.842 * [approximate]: Taking taylor expansion of (* 2 (* PI (sqrt (/ -1 n)))) in (n) around 0 2.842 * [taylor]: Taking taylor expansion of (* 2 (* PI (sqrt (/ -1 n)))) in n 2.842 * [taylor]: Taking taylor expansion of 2 in n 2.842 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.842 * [taylor]: Taking taylor expansion of PI in n 2.842 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.842 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.842 * [taylor]: Taking taylor expansion of -1 in n 2.842 * [taylor]: Taking taylor expansion of n in n 2.842 * [taylor]: Taking taylor expansion of (* 2 (* PI (sqrt (/ -1 n)))) in n 2.842 * [taylor]: Taking taylor expansion of 2 in n 2.842 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.842 * [taylor]: Taking taylor expansion of PI in n 2.842 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.842 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.842 * [taylor]: Taking taylor expansion of -1 in n 2.842 * [taylor]: Taking taylor expansion of n in n 2.853 * * * [progress]: simplifying candidates 2.855 * [simplify]: Simplifying using # : (pow.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (pow.f64 (sqrt.f64 n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 1 k)) 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 (+.f64 1 (sqrt.f64 k)) 1)) (pow.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 n)) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 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(log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) (pow.f64 n 2)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) (/.f64 (*.f64 (pow.f64 NAN.f64 2) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64))))))) n)) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (log.f64 n) 2) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (*.f64 1/4 (*.f64 (pow.f64 k 2) (*.f64 (log.f64 n) (*.f64 (log.f64 (*.f64 2 PI.f64)) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (log.f64 n) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))) (*.f64 1/2 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))))))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k)))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (-.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 2) PI.f64)) (*.f64 6 (/.f64 (*.f64 (pow.f64 NAN.f64 6) PI.f64) (pow.f64 n 2)))) (*.f64 4 (/.f64 (*.f64 (pow.f64 NAN.f64 4) PI.f64) n))) (+.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (pow.f64 n 2) PI.f64))) (+.f64 (*.f64 2 (*.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 n 3) PI.f64))) (*.f64 2 (*.f64 NAN.f64 (*.f64 n PI.f64))))) (+.f64 (*.f64 2 (*.f64 NAN.f64 PI.f64)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 NAN.f64 3) PI.f64) n)) (*.f64 2 (/.f64 (*.f64 (pow.f64 NAN.f64 5) PI.f64) (pow.f64 n 2))))) (-.f64 (+.f64 (*.f64 2 (*.f64 NAN.f64 PI.f64)) (*.f64 2 (/.f64 (*.f64 (pow.f64 NAN.f64 5) PI.f64) (pow.f64 n 2)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 NAN.f64 3) PI.f64) n))) 2.896 * * [simplify]: iteration 0 : 5140 enodes (cost 2611 ) 2.908 * [simplify]: Simplified to: (pow.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (/.f64 (-.f64 1 k) 2)) (pow.f64 (sqrt.f64 n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1 k)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) 3) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (pow.f64 n (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1 k)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (/.f64 (-.f64 1 k) 2) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) 3) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) n (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (cbrt.f64 (sqrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))) (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 (sqrt.f64 n))) (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (fabs.f64 (cbrt.f64 n))) (*.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (sqrt.f64 (sqrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (log.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n))) (log.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n))) (exp.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n))) (log.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n))) (*.f64 8 (pow.f64 (*.f64 PI.f64 (sqrt.f64 n)) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n))) (*.f64 8 (pow.f64 (*.f64 PI.f64 (sqrt.f64 n)) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 (sqrt.f64 n)) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n))) (*.f64 PI.f64 (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 (sqrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 (sqrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (fabs.f64 (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 (sqrt.f64 n))) (*.f64 2 PI.f64) (*.f64 2 PI.f64) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))) 1) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 n) 2))) (*.f64 (*.f64 (*.f64 k k) 1/4) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))))) (*.f64 (*.f64 k 1/2) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (+.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (-.f64 1 k))) (-.f64 (/.f64 (pow.f64 NAN.f64 4) (*.f64 n n)) (/.f64 (pow.f64 NAN.f64 2) n)))) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))) 1) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 n) 2))) (*.f64 (*.f64 (*.f64 k k) 1/4) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))))) (*.f64 (*.f64 k 1/2) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (-.f64 (+.f64 (*.f64 2 (*.f64 PI.f64 (pow.f64 NAN.f64 2))) (*.f64 6 (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 6)) (*.f64 n n)))) (*.f64 4 (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 4)) n))) (*.f64 2 (*.f64 PI.f64 (+.f64 (*.f64 (*.f64 n n) (pow.f64 NAN.f64 3)) (+.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 n 3)) (*.f64 n NAN.f64))))) (*.f64 2 (+.f64 (*.f64 PI.f64 NAN.f64) (*.f64 PI.f64 (+.f64 (/.f64 (pow.f64 NAN.f64 3) n) (/.f64 (pow.f64 NAN.f64 5) (*.f64 n n)))))) (*.f64 2 (-.f64 (*.f64 PI.f64 (+.f64 NAN.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 n n)))) (/.f64 (*.f64 PI.f64 (pow.f64 NAN.f64 3)) n))) 2.909 * * * [progress]: adding candidates to table 3.087 * * [progress]: iteration 4 / 4 3.087 * * * [progress]: picking best candidate 3.101 * * * * [pick]: Picked # 3.101 * * * [progress]: localizing error 3.115 * * * [progress]: generating rewritten candidates 3.115 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.127 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.139 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.150 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.170 * * * [progress]: generating series expansions 3.170 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.171 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in (n k) around 0 3.171 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in k 3.171 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in k 3.171 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in k 3.171 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in k 3.171 * [taylor]: Taking taylor expansion of 1/4 in k 3.171 * [taylor]: Taking taylor expansion of (* 1/4 k) in k 3.171 * [taylor]: Taking taylor expansion of 1/4 in k 3.171 * [taylor]: Taking taylor expansion of k in k 3.171 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 3.171 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 3.171 * [taylor]: Taking taylor expansion of 2 in k 3.171 * [taylor]: Taking taylor expansion of (* n PI) in k 3.171 * [taylor]: Taking taylor expansion of n in k 3.172 * [taylor]: Taking taylor expansion of PI in k 3.173 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in n 3.173 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in n 3.173 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in n 3.173 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in n 3.173 * [taylor]: Taking taylor expansion of 1/4 in n 3.173 * [taylor]: Taking taylor expansion of (* 1/4 k) in n 3.173 * [taylor]: Taking taylor expansion of 1/4 in n 3.173 * [taylor]: Taking taylor expansion of k in n 3.173 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 3.173 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.173 * [taylor]: Taking taylor expansion of 2 in n 3.173 * [taylor]: Taking taylor expansion of (* n PI) in n 3.173 * [taylor]: Taking taylor expansion of n in n 3.173 * [taylor]: Taking taylor expansion of PI in n 3.178 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in n 3.178 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in n 3.178 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in n 3.178 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in n 3.178 * [taylor]: Taking taylor expansion of 1/4 in n 3.178 * [taylor]: Taking taylor expansion of (* 1/4 k) in n 3.178 * [taylor]: Taking taylor expansion of 1/4 in n 3.178 * [taylor]: Taking taylor expansion of k in n 3.178 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 3.178 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.178 * [taylor]: Taking taylor expansion of 2 in n 3.178 * [taylor]: Taking taylor expansion of (* n PI) in n 3.178 * [taylor]: Taking taylor expansion of n in n 3.178 * [taylor]: Taking taylor expansion of PI in n 3.182 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (+ (log n) (log (* 2 PI))))) in k 3.182 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (+ (log n) (log (* 2 PI)))) in k 3.182 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in k 3.182 * [taylor]: Taking taylor expansion of 1/4 in k 3.182 * [taylor]: Taking taylor expansion of (* 1/4 k) in k 3.182 * [taylor]: Taking taylor expansion of 1/4 in k 3.182 * [taylor]: Taking taylor expansion of k in k 3.182 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 3.182 * [taylor]: Taking taylor expansion of (log n) in k 3.182 * [taylor]: Taking taylor expansion of n in k 3.182 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.182 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.182 * [taylor]: Taking taylor expansion of 2 in k 3.182 * [taylor]: Taking taylor expansion of PI in k 3.193 * [taylor]: Taking taylor expansion of 0 in k 3.208 * [taylor]: Taking taylor expansion of 0 in k 3.234 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in (n k) around 0 3.234 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in k 3.234 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in k 3.234 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in k 3.234 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in k 3.234 * [taylor]: Taking taylor expansion of 1/4 in k 3.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.234 * [taylor]: Taking taylor expansion of 1/4 in k 3.234 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.234 * [taylor]: Taking taylor expansion of k in k 3.234 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 3.234 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 3.234 * [taylor]: Taking taylor expansion of 2 in k 3.234 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.234 * [taylor]: Taking taylor expansion of PI in k 3.235 * [taylor]: Taking taylor expansion of n in k 3.237 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in n 3.237 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in n 3.237 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in n 3.237 * [taylor]: Taking taylor expansion of 1/4 in n 3.237 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.237 * [taylor]: Taking taylor expansion of 1/4 in n 3.237 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.237 * [taylor]: Taking taylor expansion of k in n 3.237 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 3.237 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.237 * [taylor]: Taking taylor expansion of 2 in n 3.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.237 * [taylor]: Taking taylor expansion of PI in n 3.237 * [taylor]: Taking taylor expansion of n in n 3.242 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in n 3.242 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in n 3.242 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in n 3.242 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in n 3.242 * [taylor]: Taking taylor expansion of 1/4 in n 3.242 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.242 * [taylor]: Taking taylor expansion of 1/4 in n 3.242 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.242 * [taylor]: Taking taylor expansion of k in n 3.242 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 3.242 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.242 * [taylor]: Taking taylor expansion of 2 in n 3.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.242 * [taylor]: Taking taylor expansion of PI in n 3.242 * [taylor]: Taking taylor expansion of n in n 3.247 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2 PI)) (log n)) (- 1/4 (* 1/4 (/ 1 k))))) in k 3.247 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1/4 (* 1/4 (/ 1 k)))) in k 3.247 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 3.247 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.247 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.247 * [taylor]: Taking taylor expansion of 2 in k 3.247 * [taylor]: Taking taylor expansion of PI in k 3.247 * [taylor]: Taking taylor expansion of (log n) in k 3.247 * [taylor]: Taking taylor expansion of n in k 3.247 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in k 3.247 * [taylor]: Taking taylor expansion of 1/4 in k 3.247 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.247 * [taylor]: Taking taylor expansion of 1/4 in k 3.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.247 * [taylor]: Taking taylor expansion of k in k 3.259 * [taylor]: Taking taylor expansion of 0 in k 3.269 * [taylor]: Taking taylor expansion of 0 in k 3.280 * [taylor]: Taking taylor expansion of 0 in k 3.284 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in (n k) around 0 3.284 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in k 3.284 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in k 3.285 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in k 3.285 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in k 3.285 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.285 * [taylor]: Taking taylor expansion of 1/4 in k 3.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.285 * [taylor]: Taking taylor expansion of k in k 3.285 * [taylor]: Taking taylor expansion of 1/4 in k 3.285 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 3.285 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 3.285 * [taylor]: Taking taylor expansion of -2 in k 3.285 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.285 * [taylor]: Taking taylor expansion of PI in k 3.285 * [taylor]: Taking taylor expansion of n in k 3.287 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in n 3.287 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in n 3.287 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in n 3.287 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in n 3.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.287 * [taylor]: Taking taylor expansion of 1/4 in n 3.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.287 * [taylor]: Taking taylor expansion of k in n 3.287 * [taylor]: Taking taylor expansion of 1/4 in n 3.287 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 3.287 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.287 * [taylor]: Taking taylor expansion of -2 in n 3.287 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.287 * [taylor]: Taking taylor expansion of PI in n 3.287 * [taylor]: Taking taylor expansion of n in n 3.290 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in n 3.290 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in n 3.290 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in n 3.290 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in n 3.291 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.291 * [taylor]: Taking taylor expansion of 1/4 in n 3.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.291 * [taylor]: Taking taylor expansion of k in n 3.291 * [taylor]: Taking taylor expansion of 1/4 in n 3.291 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 3.291 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.291 * [taylor]: Taking taylor expansion of -2 in n 3.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.291 * [taylor]: Taking taylor expansion of PI in n 3.291 * [taylor]: Taking taylor expansion of n in n 3.294 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (- (log (* -2 PI)) (log n)))) in k 3.294 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (- (log (* -2 PI)) (log n))) in k 3.294 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in k 3.294 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.294 * [taylor]: Taking taylor expansion of 1/4 in k 3.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.294 * [taylor]: Taking taylor expansion of k in k 3.294 * [taylor]: Taking taylor expansion of 1/4 in k 3.294 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 3.294 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 3.294 * [taylor]: Taking taylor expansion of (* -2 PI) in k 3.294 * [taylor]: Taking taylor expansion of -2 in k 3.294 * [taylor]: Taking taylor expansion of PI in k 3.295 * [taylor]: Taking taylor expansion of (log n) in k 3.295 * [taylor]: Taking taylor expansion of n in k 3.303 * [taylor]: Taking taylor expansion of 0 in k 3.309 * [taylor]: Taking taylor expansion of 0 in k 3.321 * [taylor]: Taking taylor expansion of 0 in k 3.324 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.325 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in (n k) around 0 3.326 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in k 3.326 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in k 3.326 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in k 3.326 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in k 3.326 * [taylor]: Taking taylor expansion of 1/4 in k 3.326 * [taylor]: Taking taylor expansion of (* 1/4 k) in k 3.326 * [taylor]: Taking taylor expansion of 1/4 in k 3.326 * [taylor]: Taking taylor expansion of k in k 3.326 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 3.326 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 3.326 * [taylor]: Taking taylor expansion of 2 in k 3.326 * [taylor]: Taking taylor expansion of (* n PI) in k 3.326 * [taylor]: Taking taylor expansion of n in k 3.326 * [taylor]: Taking taylor expansion of PI in k 3.327 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in n 3.327 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in n 3.327 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in n 3.327 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in n 3.327 * [taylor]: Taking taylor expansion of 1/4 in n 3.327 * [taylor]: Taking taylor expansion of (* 1/4 k) in n 3.328 * [taylor]: Taking taylor expansion of 1/4 in n 3.328 * [taylor]: Taking taylor expansion of k in n 3.328 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 3.328 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.328 * [taylor]: Taking taylor expansion of 2 in n 3.328 * [taylor]: Taking taylor expansion of (* n PI) in n 3.328 * [taylor]: Taking taylor expansion of n in n 3.328 * [taylor]: Taking taylor expansion of PI in n 3.331 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in n 3.331 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in n 3.331 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in n 3.331 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in n 3.331 * [taylor]: Taking taylor expansion of 1/4 in n 3.331 * [taylor]: Taking taylor expansion of (* 1/4 k) in n 3.331 * [taylor]: Taking taylor expansion of 1/4 in n 3.331 * [taylor]: Taking taylor expansion of k in n 3.331 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 3.331 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.331 * [taylor]: Taking taylor expansion of 2 in n 3.331 * [taylor]: Taking taylor expansion of (* n PI) in n 3.331 * [taylor]: Taking taylor expansion of n in n 3.331 * [taylor]: Taking taylor expansion of PI in n 3.335 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (+ (log n) (log (* 2 PI))))) in k 3.335 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (+ (log n) (log (* 2 PI)))) in k 3.335 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in k 3.335 * [taylor]: Taking taylor expansion of 1/4 in k 3.335 * [taylor]: Taking taylor expansion of (* 1/4 k) in k 3.335 * [taylor]: Taking taylor expansion of 1/4 in k 3.335 * [taylor]: Taking taylor expansion of k in k 3.335 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 3.335 * [taylor]: Taking taylor expansion of (log n) in k 3.335 * [taylor]: Taking taylor expansion of n in k 3.335 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.335 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.335 * [taylor]: Taking taylor expansion of 2 in k 3.335 * [taylor]: Taking taylor expansion of PI in k 3.342 * [taylor]: Taking taylor expansion of 0 in k 3.352 * [taylor]: Taking taylor expansion of 0 in k 3.373 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in (n k) around 0 3.373 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in k 3.373 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in k 3.373 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in k 3.373 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in k 3.373 * [taylor]: Taking taylor expansion of 1/4 in k 3.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.373 * [taylor]: Taking taylor expansion of 1/4 in k 3.373 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.373 * [taylor]: Taking taylor expansion of k in k 3.373 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 3.373 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 3.374 * [taylor]: Taking taylor expansion of 2 in k 3.374 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.374 * [taylor]: Taking taylor expansion of PI in k 3.374 * [taylor]: Taking taylor expansion of n in k 3.376 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in n 3.376 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in n 3.376 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in n 3.376 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in n 3.376 * [taylor]: Taking taylor expansion of 1/4 in n 3.376 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.376 * [taylor]: Taking taylor expansion of 1/4 in n 3.376 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.376 * [taylor]: Taking taylor expansion of k in n 3.376 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 3.376 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.376 * [taylor]: Taking taylor expansion of 2 in n 3.376 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.376 * [taylor]: Taking taylor expansion of PI in n 3.376 * [taylor]: Taking taylor expansion of n in n 3.380 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in n 3.380 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in n 3.380 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in n 3.380 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in n 3.380 * [taylor]: Taking taylor expansion of 1/4 in n 3.380 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.380 * [taylor]: Taking taylor expansion of 1/4 in n 3.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.380 * [taylor]: Taking taylor expansion of k in n 3.381 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 3.381 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.381 * [taylor]: Taking taylor expansion of 2 in n 3.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.381 * [taylor]: Taking taylor expansion of PI in n 3.381 * [taylor]: Taking taylor expansion of n in n 3.385 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2 PI)) (log n)) (- 1/4 (* 1/4 (/ 1 k))))) in k 3.385 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1/4 (* 1/4 (/ 1 k)))) in k 3.385 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 3.385 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.385 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.385 * [taylor]: Taking taylor expansion of 2 in k 3.385 * [taylor]: Taking taylor expansion of PI in k 3.385 * [taylor]: Taking taylor expansion of (log n) in k 3.385 * [taylor]: Taking taylor expansion of n in k 3.385 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in k 3.385 * [taylor]: Taking taylor expansion of 1/4 in k 3.385 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.385 * [taylor]: Taking taylor expansion of 1/4 in k 3.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.386 * [taylor]: Taking taylor expansion of k in k 3.397 * [taylor]: Taking taylor expansion of 0 in k 3.406 * [taylor]: Taking taylor expansion of 0 in k 3.417 * [taylor]: Taking taylor expansion of 0 in k 3.421 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in (n k) around 0 3.421 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in k 3.421 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in k 3.421 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in k 3.421 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in k 3.421 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.421 * [taylor]: Taking taylor expansion of 1/4 in k 3.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.421 * [taylor]: Taking taylor expansion of k in k 3.421 * [taylor]: Taking taylor expansion of 1/4 in k 3.421 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 3.421 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 3.421 * [taylor]: Taking taylor expansion of -2 in k 3.421 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.422 * [taylor]: Taking taylor expansion of PI in k 3.422 * [taylor]: Taking taylor expansion of n in k 3.423 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in n 3.423 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in n 3.423 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in n 3.423 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.423 * [taylor]: Taking taylor expansion of 1/4 in n 3.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.424 * [taylor]: Taking taylor expansion of k in n 3.424 * [taylor]: Taking taylor expansion of 1/4 in n 3.424 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 3.424 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.424 * [taylor]: Taking taylor expansion of -2 in n 3.424 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.424 * [taylor]: Taking taylor expansion of PI in n 3.424 * [taylor]: Taking taylor expansion of n in n 3.427 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in n 3.427 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in n 3.427 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in n 3.427 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in n 3.427 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.428 * [taylor]: Taking taylor expansion of 1/4 in n 3.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.429 * [taylor]: Taking taylor expansion of k in n 3.429 * [taylor]: Taking taylor expansion of 1/4 in n 3.429 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 3.429 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.429 * [taylor]: Taking taylor expansion of -2 in n 3.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.429 * [taylor]: Taking taylor expansion of PI in n 3.429 * [taylor]: Taking taylor expansion of n in n 3.433 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (- (log (* -2 PI)) (log n)))) in k 3.433 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (- (log (* -2 PI)) (log n))) in k 3.433 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in k 3.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.433 * [taylor]: Taking taylor expansion of 1/4 in k 3.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.433 * [taylor]: Taking taylor expansion of k in k 3.433 * [taylor]: Taking taylor expansion of 1/4 in k 3.433 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 3.433 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 3.433 * [taylor]: Taking taylor expansion of (* -2 PI) in k 3.433 * [taylor]: Taking taylor expansion of -2 in k 3.433 * [taylor]: Taking taylor expansion of PI in k 3.433 * [taylor]: Taking taylor expansion of (log n) in k 3.433 * [taylor]: Taking taylor expansion of n in k 3.444 * [taylor]: Taking taylor expansion of 0 in k 3.452 * [taylor]: Taking taylor expansion of 0 in k 3.463 * [taylor]: Taking taylor expansion of 0 in k 3.466 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.468 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) 2) in (n k) around 0 3.468 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) 2) in k 3.468 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in k 3.468 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in k 3.468 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in k 3.469 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in k 3.469 * [taylor]: Taking taylor expansion of 1/4 in k 3.469 * [taylor]: Taking taylor expansion of (* 1/4 k) in k 3.469 * [taylor]: Taking taylor expansion of 1/4 in k 3.469 * [taylor]: Taking taylor expansion of k in k 3.469 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 3.469 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 3.469 * [taylor]: Taking taylor expansion of 2 in k 3.469 * [taylor]: Taking taylor expansion of (* n PI) in k 3.469 * [taylor]: Taking taylor expansion of n in k 3.469 * [taylor]: Taking taylor expansion of PI in k 3.470 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) 2) in n 3.470 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in n 3.470 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in n 3.470 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in n 3.470 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in n 3.470 * [taylor]: Taking taylor expansion of 1/4 in n 3.470 * [taylor]: Taking taylor expansion of (* 1/4 k) in n 3.470 * [taylor]: Taking taylor expansion of 1/4 in n 3.470 * [taylor]: Taking taylor expansion of k in n 3.470 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 3.471 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.471 * [taylor]: Taking taylor expansion of 2 in n 3.471 * [taylor]: Taking taylor expansion of (* n PI) in n 3.471 * [taylor]: Taking taylor expansion of n in n 3.471 * [taylor]: Taking taylor expansion of PI in n 3.474 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) 2) in n 3.474 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/4 (* 1/4 k))) in n 3.474 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI))))) in n 3.474 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (log (* 2 (* n PI)))) in n 3.474 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in n 3.474 * [taylor]: Taking taylor expansion of 1/4 in n 3.474 * [taylor]: Taking taylor expansion of (* 1/4 k) in n 3.474 * [taylor]: Taking taylor expansion of 1/4 in n 3.474 * [taylor]: Taking taylor expansion of k in n 3.474 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 3.474 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.474 * [taylor]: Taking taylor expansion of 2 in n 3.474 * [taylor]: Taking taylor expansion of (* n PI) in n 3.474 * [taylor]: Taking taylor expansion of n in n 3.474 * [taylor]: Taking taylor expansion of PI in n 3.480 * [taylor]: Taking taylor expansion of (pow (exp (* (- 1/4 (* 1/4 k)) (+ (log n) (log (* 2 PI))))) 2) in k 3.480 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 k)) (+ (log n) (log (* 2 PI))))) in k 3.481 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 k)) (+ (log n) (log (* 2 PI)))) in k 3.481 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 k)) in k 3.481 * [taylor]: Taking taylor expansion of 1/4 in k 3.481 * [taylor]: Taking taylor expansion of (* 1/4 k) in k 3.481 * [taylor]: Taking taylor expansion of 1/4 in k 3.481 * [taylor]: Taking taylor expansion of k in k 3.481 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 3.481 * [taylor]: Taking taylor expansion of (log n) in k 3.481 * [taylor]: Taking taylor expansion of n in k 3.481 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.481 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.481 * [taylor]: Taking taylor expansion of 2 in k 3.481 * [taylor]: Taking taylor expansion of PI in k 3.493 * [taylor]: Taking taylor expansion of 0 in k 3.527 * [taylor]: Taking taylor expansion of 0 in k 3.625 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) 2) in (n k) around 0 3.625 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) 2) in k 3.625 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in k 3.625 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in k 3.625 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in k 3.625 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in k 3.625 * [taylor]: Taking taylor expansion of 1/4 in k 3.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.625 * [taylor]: Taking taylor expansion of 1/4 in k 3.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.625 * [taylor]: Taking taylor expansion of k in k 3.625 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 3.626 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 3.626 * [taylor]: Taking taylor expansion of 2 in k 3.626 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.626 * [taylor]: Taking taylor expansion of PI in k 3.626 * [taylor]: Taking taylor expansion of n in k 3.628 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) 2) in n 3.628 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in n 3.628 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in n 3.628 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in n 3.628 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in n 3.628 * [taylor]: Taking taylor expansion of 1/4 in n 3.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.628 * [taylor]: Taking taylor expansion of 1/4 in n 3.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.628 * [taylor]: Taking taylor expansion of k in n 3.628 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 3.628 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.628 * [taylor]: Taking taylor expansion of 2 in n 3.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.628 * [taylor]: Taking taylor expansion of PI in n 3.628 * [taylor]: Taking taylor expansion of n in n 3.632 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) 2) in n 3.632 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/4 (* 1/4 (/ 1 k)))) in n 3.632 * [taylor]: Taking taylor expansion of (exp (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n))))) in n 3.632 * [taylor]: Taking taylor expansion of (* (- 1/4 (* 1/4 (/ 1 k))) (log (* 2 (/ PI n)))) in n 3.632 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in n 3.632 * [taylor]: Taking taylor expansion of 1/4 in n 3.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.632 * [taylor]: Taking taylor expansion of 1/4 in n 3.632 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.632 * [taylor]: Taking taylor expansion of k in n 3.633 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 3.633 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.633 * [taylor]: Taking taylor expansion of 2 in n 3.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.633 * [taylor]: Taking taylor expansion of PI in n 3.633 * [taylor]: Taking taylor expansion of n in n 3.640 * [taylor]: Taking taylor expansion of (pow (exp (* (- (log (* 2 PI)) (log n)) (- 1/4 (* 1/4 (/ 1 k))))) 2) in k 3.640 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2 PI)) (log n)) (- 1/4 (* 1/4 (/ 1 k))))) in k 3.640 * [taylor]: Taking taylor expansion of (* (- (log (* 2 PI)) (log n)) (- 1/4 (* 1/4 (/ 1 k)))) in k 3.640 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 3.640 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.640 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.640 * [taylor]: Taking taylor expansion of 2 in k 3.640 * [taylor]: Taking taylor expansion of PI in k 3.641 * [taylor]: Taking taylor expansion of (log n) in k 3.641 * [taylor]: Taking taylor expansion of n in k 3.641 * [taylor]: Taking taylor expansion of (- 1/4 (* 1/4 (/ 1 k))) in k 3.641 * [taylor]: Taking taylor expansion of 1/4 in k 3.641 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.641 * [taylor]: Taking taylor expansion of 1/4 in k 3.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.641 * [taylor]: Taking taylor expansion of k in k 3.658 * [taylor]: Taking taylor expansion of 0 in k 3.672 * [taylor]: Taking taylor expansion of 0 in k 3.692 * [taylor]: Taking taylor expansion of 0 in k 3.698 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) 2) in (n k) around 0 3.698 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) 2) in k 3.698 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in k 3.698 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in k 3.698 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in k 3.698 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in k 3.698 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.698 * [taylor]: Taking taylor expansion of 1/4 in k 3.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.698 * [taylor]: Taking taylor expansion of k in k 3.698 * [taylor]: Taking taylor expansion of 1/4 in k 3.698 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 3.698 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 3.698 * [taylor]: Taking taylor expansion of -2 in k 3.698 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.698 * [taylor]: Taking taylor expansion of PI in k 3.698 * [taylor]: Taking taylor expansion of n in k 3.700 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) 2) in n 3.700 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in n 3.701 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in n 3.701 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in n 3.701 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in n 3.701 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.701 * [taylor]: Taking taylor expansion of 1/4 in n 3.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.701 * [taylor]: Taking taylor expansion of k in n 3.701 * [taylor]: Taking taylor expansion of 1/4 in n 3.701 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 3.701 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.701 * [taylor]: Taking taylor expansion of -2 in n 3.701 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.701 * [taylor]: Taking taylor expansion of PI in n 3.701 * [taylor]: Taking taylor expansion of n in n 3.704 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) 2) in n 3.704 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/4 (/ 1 k)) 1/4)) in n 3.704 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n))))) in n 3.704 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (log (* -2 (/ PI n)))) in n 3.704 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in n 3.704 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in n 3.704 * [taylor]: Taking taylor expansion of 1/4 in n 3.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.704 * [taylor]: Taking taylor expansion of k in n 3.704 * [taylor]: Taking taylor expansion of 1/4 in n 3.704 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 3.704 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.704 * [taylor]: Taking taylor expansion of -2 in n 3.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.704 * [taylor]: Taking taylor expansion of PI in n 3.704 * [taylor]: Taking taylor expansion of n in n 3.710 * [taylor]: Taking taylor expansion of (pow (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (- (log (* -2 PI)) (log n)))) 2) in k 3.710 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/4 (/ 1 k)) 1/4) (- (log (* -2 PI)) (log n)))) in k 3.710 * [taylor]: Taking taylor expansion of (* (+ (* 1/4 (/ 1 k)) 1/4) (- (log (* -2 PI)) (log n))) in k 3.710 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 k)) 1/4) in k 3.710 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 k)) in k 3.710 * [taylor]: Taking taylor expansion of 1/4 in k 3.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.710 * [taylor]: Taking taylor expansion of k in k 3.710 * [taylor]: Taking taylor expansion of 1/4 in k 3.710 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 3.710 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 3.710 * [taylor]: Taking taylor expansion of (* -2 PI) in k 3.710 * [taylor]: Taking taylor expansion of -2 in k 3.710 * [taylor]: Taking taylor expansion of PI in k 3.710 * [taylor]: Taking taylor expansion of (log n) in k 3.710 * [taylor]: Taking taylor expansion of n in k 3.722 * [taylor]: Taking taylor expansion of 0 in k 3.734 * [taylor]: Taking taylor expansion of 0 in k 3.750 * [taylor]: Taking taylor expansion of 0 in k 3.753 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.753 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 3.754 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.754 * [taylor]: Taking taylor expansion of 2 in n 3.754 * [taylor]: Taking taylor expansion of (* n PI) in n 3.754 * [taylor]: Taking taylor expansion of n in n 3.754 * [taylor]: Taking taylor expansion of PI in n 3.754 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.754 * [taylor]: Taking taylor expansion of 2 in n 3.754 * [taylor]: Taking taylor expansion of (* n PI) in n 3.754 * [taylor]: Taking taylor expansion of n in n 3.754 * [taylor]: Taking taylor expansion of PI in n 3.766 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 3.766 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.766 * [taylor]: Taking taylor expansion of 2 in n 3.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.766 * [taylor]: Taking taylor expansion of PI in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.766 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.766 * [taylor]: Taking taylor expansion of 2 in n 3.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.766 * [taylor]: Taking taylor expansion of PI in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.777 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 3.777 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.778 * [taylor]: Taking taylor expansion of -2 in n 3.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.778 * [taylor]: Taking taylor expansion of PI in n 3.778 * [taylor]: Taking taylor expansion of n in n 3.778 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.778 * [taylor]: Taking taylor expansion of -2 in n 3.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.778 * [taylor]: Taking taylor expansion of PI in n 3.778 * [taylor]: Taking taylor expansion of n in n 3.792 * * * [progress]: simplifying candidates 3.794 * [simplify]: Simplifying using # : (pow.f64 (*.f64 2 PI.f64) (-.f64 1/4 (/.f64 k 4))) (pow.f64 n (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (neg.f64 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 k 4))) (cbrt.f64 (-.f64 1/4 (/.f64 k 4))))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 (sqrt.f64 1/4) (sqrt.f64 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 (sqrt.f64 1/4) (/.f64 (sqrt.f64 k) (sqrt.f64 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)) (*.f64 1 (-.f64 1/4 (/.f64 k 4))) (*.f64 1 (-.f64 1/4 (/.f64 k 4))) (*.f64 1 (-.f64 1/4 (/.f64 k 4))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/4 (/.f64 k 4))) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (-.f64 1/4 (/.f64 k 4))) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (-.f64 1/4 (/.f64 k 4))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/4 (/.f64 k 4))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1/4 (/.f64 k 4)) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1/4 (/.f64 k 4)) 2)) (pow.f64 (*.f64 2 PI.f64) (-.f64 1/4 (/.f64 k 4))) (pow.f64 n (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (neg.f64 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 k 4))) (cbrt.f64 (-.f64 1/4 (/.f64 k 4))))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (pow.f64 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2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))))) (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) 1) (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1/4 (/.f64 k 4)) 2))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (-.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2)))) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (pow.f64 (log.f64 n) 2)))) (*.f64 1/16 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (*.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 k (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (log.f64 (*.f64 2 PI.f64))))) (*.f64 1/4 (*.f64 k (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (log.f64 n)))))) (exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1/4 (*.f64 1/4 k)))) (exp.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 k)) (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))))) (-.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2)))) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (pow.f64 (log.f64 n) 2)))) (*.f64 1/16 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (*.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))))))) (+.f64 (*.f64 1/4 (*.f64 k (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (log.f64 (*.f64 2 PI.f64))))) (*.f64 1/4 (*.f64 k (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) (log.f64 n)))))) (exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1/4 (*.f64 1/4 k)))) (exp.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 k)) (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))))) (-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) 2) (*.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64)))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) 2) (pow.f64 (log.f64 n) 2)))) (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) 2) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) 2) (log.f64 n)))) (*.f64 1/2 (*.f64 k (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))))) 2) (log.f64 (*.f64 2 PI.f64))))))) (pow.f64 (exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1/4 (*.f64 1/4 k)))) 2) (pow.f64 (exp.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 k)) (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))))) 2) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) 3.852 * * [simplify]: iteration 0 : 5047 enodes (cost 3197 ) 3.867 * [simplify]: Simplified to: (pow.f64 (*.f64 2 PI.f64) (-.f64 1/4 (/.f64 k 4))) (pow.f64 n (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (neg.f64 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 k 4))) (cbrt.f64 (-.f64 1/4 (/.f64 k 4))))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1/4 (/.f64 k 4)))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1/2 (sqrt.f64 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1/2 (/.f64 (sqrt.f64 k) 2))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)) (-.f64 1/4 (/.f64 k 4)) (-.f64 1/4 (/.f64 k 4)) (-.f64 1/4 (/.f64 k 4)) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) 3) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8))) (pow.f64 (*.f64 2 PI.f64) (-.f64 1/4 (/.f64 k 4))) (pow.f64 n (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (neg.f64 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1/4 (/.f64 k 4))) (cbrt.f64 (-.f64 1/4 (/.f64 k 4))))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1/4 (/.f64 k 4)))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1/2 (sqrt.f64 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1/2 (/.f64 (sqrt.f64 k) 2))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)) (-.f64 1/4 (/.f64 k 4)) (-.f64 1/4 (/.f64 k 4)) (-.f64 1/4 (/.f64 k 4)) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) 3) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 2) (*.f64 2 (-.f64 1/4 (/.f64 k 4))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 2 (-.f64 1/4 (/.f64 k 4))))) (*.f64 2 (*.f64 (-.f64 1/4 (/.f64 k 4)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) 6) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 2 (-.f64 1/4 (/.f64 k 4))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 2 (-.f64 1/4 (/.f64 k 4)))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 2 (-.f64 1/4 (/.f64 k 4))))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) 6) (fabs.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (fabs.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 2 (/.f64 k 4))) (*.f64 2 (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 2 PI.f64) (*.f64 2 (-.f64 1/4 (/.f64 k 4)))) (pow.f64 n (*.f64 2 (-.f64 1/4 (/.f64 k 4)))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (/.f64 k 4) -2)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) 4) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 2 (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (pow.f64 n (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (neg.f64 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) 4) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) 3) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 2 (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8))) 3) (*.f64 (pow.f64 (*.f64 2 PI.f64) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) 4)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4)))) 3) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/8 (/.f64 k 8))) 3) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/32 (*.f64 k k)) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2)) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (*.f64 k k)) (+.f64 (*.f64 (pow.f64 (log.f64 n) 2) 1/32) (*.f64 (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) 1/16))) (*.f64 (*.f64 1/4 k) (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (*.f64 1/4 k))) (exp.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 k)) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/32 (*.f64 k k)) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2)) 1) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (*.f64 k k)) (+.f64 (*.f64 (pow.f64 (log.f64 n) 2) 1/32) (*.f64 (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) 1/16))) (*.f64 (*.f64 1/4 k) (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (*.f64 1/4 k))) (exp.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 k)) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/4 (*.f64 k k)) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))) 1) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (-.f64 (*.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 k k))) (+.f64 (pow.f64 (log.f64 n) 2) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))) (*.f64 (*.f64 k 1/2) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)))))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1/4 (*.f64 1/4 k))) 2) (pow.f64 (exp.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 k)) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) 2) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) 3.870 * * * [progress]: adding candidates to table 3.999 * [progress]: [Phase 3 of 3] Extracting. 3.999 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 4.003 * * * [regime-changes]: Trying 3 branch expressions: ((*.f64 (*.f64 2 PI.f64) n) n k) 4.003 * * * * [regimes]: Trying to branch on (*.f64 (*.f64 2 PI.f64) n) from (# # # # # # # # # #) 4.026 * * * * [regimes]: Trying to branch on (*.f64 (*.f64 2 PI.f64) n) from (# # # # # #) 4.045 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 4.069 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 4.090 * * * [regime]: Found split indices: #